What is the last blank?​

What Is The Last Blank?

Answers

Answer 1

A square-based pyramid has a total of five faces. Four of the faces are triangles and one of the faces is a square. The surface area of a square-based pyramid is the total area of all its sides.

hope this helps!! :D


Related Questions

When you determine the number of months it will take to pay off a credit card, and you get an answer like 24.35 payments, do you round up or round down? Why?

Answers

When you determine the number of months it takes to pay off a credit card and you get 24.35, payments, you have to round up.

How to round up decimals?

You should understand that rounding up numbers or decimals involves writing it as a whole number

The question is given in months and we are not asked to state the weekly fractions.

24.35 is 24 months + .35*30=10 weeks

Now 24.35 in months is 24 months 10 weeks and 5 days

Hence payment is in months it should be 24 months only.

In conclusion you should not round it up.

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A stock price will rise if:
Supply of stock is greater than demand
The price-earnings ratio is 10 or greater
Stock yield is greater than 8%
Demand for stock is greater than supply
None of these

Answers

A stock price will rise if demand for stock is greater than supply. So, the correct answer is option (d).

What is Stock price ?

The stock price or share price is the amount of money it costs to buy shares in a company. Stock prices are not fixed and fluctuate based on market conditions. It is likely to go up if the company is viewed as good, and it is likely to go down if the company is not performing as expected. If there are more people who want to buy a demand than sell (supply ) it, the stock price will go up. Conversely, if more people want to sell than buy stocks, there will be more supply than demand and prices will fall. Understanding supply and demand is easy.

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Complete question:

A Stock Price Will Rise If:

a) Supply Of Stock Is Greater Than Demand

b)The Price-Earnings Ratio Is 10 Or Greater

c)Stock Yield Is Greater Than 8%

d) Demand For Stock is Greater Than Supply

e) None Of These.

Give f(x) = 2x2 + 1 and g (x) = 3x -5 , find the following f(g)(2))

Answers

The function f{ g(2) } is equivalent to for the functions f(x) = 2x² + 1 and g(x) = 3x - 5 is 3.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that f(x) = 2x² + 1 and g(x) = 3x - 5.

We have to find -

f{g(2)}

Now -

g(2) = g(2) = 3 x 2 - 5 = 6 - 5 = 1

g(2) = 1

f{g(2)} = 2x² + 1 = 2 x 1 x 1 + 1

f{ g(2) } = 3

Therefore, the function f{ g(2) } is equivalent to for the functions f(x) = 2x² + 1 and g(x) = 3x - 5 is 3.

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Please Help will mark Brainly

Answers

Answer:

  A, B, C

Step-by-step explanation:

You want to know the correct descriptors of the given graph.

Solution

The solution to a system of equations is the set of points that satisfy all of the equations at once. On a graph, it will be the set of points where the graphs of the equations intersect.

Here the two lines cross at one point, hence there is one solution.

The point where the lines cross is approximately (3, -0.5). That makes (3, -0.5) a reasonable estimate of the solution of the system.

smolira golf has 13,000 shares of common stock outstanding, and the market price for a share of stock at the end of 2022 was $88. what is the price-earnings ratio? note: do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. what is the price-sales ratio? note: do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. what are the dividends per share? note: do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.

Answers

By using formula, Price-sales ratio = Market price per share / Sales per share= $88 / $20= 4.4,  it is not possible to calculate the dividends per share.

What is the formula to calculate EPS?

The formula for calculating earnings per share (EPS) is:

EPS = (Net income - Preferred stock dividends) / Average number of common shares outstanding

What is price share ratio?

Price-to-earnings ratio (P/E ratio) is a financial ratio that compares a company's current share price to its earnings per share. It is calculated by dividing the market price per share by the earnings per share (EPS).

If the company's earnings per share were $10, the price-earnings ratio would be calculated as follows:

Price-earnings ratio = Market price per share / Earnings per share

= $88 / $10

= 8.8

To calculate the price-sales ratio, you will need to know the company's sales per share. The price-sales ratio is calculated by dividing the market price per share by the sales per share.

If the market price per share was $88 and the sales per share were $20, the price-sales ratio would be calculated as follows:

Price-sales ratio = Market price per share / Sales per share

= $88 / $20

= 4.4

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33% of millennials rely on blogs before making a purchase and eight out of 10 millennials never buy anything without reading a review first. In a sample size of 75 Millennials, how many people use blogs to make a purchase? In a sample size of 75 Millennials, how many people never buy anything without reading a review first?

Answers

Number of people that use blogs to make a purchase are 24.75= 25 and number of people that never buy anything without reading a review first are 60.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given, 33% of millennials rely on blogs before making a purchase.

Eight out of 10 millennials never buy anything without reading a review first.

That means,

8 out of 10 is 80%.

In a sample size of 75 millennials:

To find the number of people that never buy anything without reading a review first:

80% of 75

80 x 75 / 100

= 6000/ 100

= 60

To find the number of people that use blogs to make a purchase:

33% of 75

33 x 75 / 100

= 2475/ 100

= 24.75

Therefore, the number of people are 24.75 and 60.

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Which ordered pair is NOT a solution to the equation y = 2x?
Point A
Point B
Point C
Point D

Answers

The ordered pair that is NOT a solution to the equation y = 2x is (3, 8)

How to determine the ordered pair

From the question, we have the following parameters that can be used in our computation:

y = 2x

From the graph (see attachment), we have the following points:

A = (1, 2)

B = (2, 4)

C = (3, 8)

D = (5, 10)

The equation y = 2x means that

y is twice of x

In C = (3, 8), 8 is not twice of 3

Hence, the ordered pair that is NOT a solution is C = (3, 8)

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Kelly makes a series of n bets, each of which she has probability p of winning, independently. Initially, she has zo dollars. Let X, be the amount she has immediately after her jth bet is settled. Let f be a constant in (0,1), called the betting fraction. On each bet, Kelly wagers a fraction f of her wealth, and then she either wins or loses that amount. For example, if her current wealth is $100 and f 0.25, then she bets $25 and either gains or loses that amount. (A famous choice when p > I/2 is f = 2p-1, which is known as the Kelly criterion.) Find E(%) (in terms of n, p,f,20).
Previous question

Answers

If her current wealth is $100 and f 0.25, then she bets $25 and either gains or loses that amount then the probability is 0.139.

It is given that Xj is the amount she has immediately after the j the bet is settled.

In the J+1 the bet, she bets fXj of her welath, which has a probability of win of P and probability  of loss of 1-p.

Thus:

Xj+1 = Xj + fpXj - f(1-p)Xj

Xj+1 = Xj (1+fp-f(1-p))

Xj+! = Xj(1+2fp-f)

Taking expected values on both sides

E(Xj+1) = E9Xj)(1+2fp-f)

we can write:

E(Xₙ) = E(Xₙ₋₁)(1+2fp-f)

E(Xₙ) = E(Xₙ₋₂)(1+2fp - f)²

E(Xₙ) = E(Xₙ₋₃)(1+2fp - f)³

Hence we get the required answer.

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Calculate the difference and enter it in the box below.

-7 - 9

Answers

Answer:

Step-by-step explanation:

-7-9=-16

factor this expression completely, then place the factors in the proper location on the grid. 5x 3 40y 6

Answers

The factorized expression of  5x³ + 40y⁶ is  5 ((x + 2y²) (x² - 2xy² + 4y⁴))

Factorisation of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.

To the factor, a number means to break it up into numbers that can be multiplied to get the original number

According to the question,

We have to factorize the expression

5x³ + 40y⁶

Taking a Common factor 5 out ,

5 (x³ + 8y⁶)

Factoring the expression within the parenthesis we have:

5 ((x + 2y²) (x² - 2xy² + 4y⁴))

Now, we cant do further factor

Hence ,  The factored expression is given by:  5 ((x + 2y²) (x² - 2xy² + 4y⁴))

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an ellipse has its center at the origin, its foci on the $y$-axis, and its major axis is three times as long as its minor axis. given that the ellipse passes through the point $(-4,0)$, find its equation.

Answers

An ellipse's equation has its origin at its center, its foci on the y-axis, and its major axis at x2/16+y2/144, which is three times longer than its minor axis.

What is ellipse's ?

In mathematics, an ellipse is a planar curve with two focal points, where the total of the two distances from any point on the curve to the focal points is a constant.

It generalizes the shape of a circle, a unique variety of ellipse in which the two focus points coincide.

The eccentricity of an ellipse,  , which ranges from 0 (the limiting case of a circle) to 1 (the length of the ellipse), is used to determine how long it is (the limiting case of infinite elongation, no longer an ellipse but a parabola).

The area of an ellipse has a straightforward algebraic solution, while the perimeter (also known as circumference), for which integration is necessary to arrive at a precise answer, only has approximations.

According to our question-

M(X0|Y)   M(0|0)

(X-X0)^2/a^2 +(Y-Y0)^2/b^2=1

x2/a2+x2b2=1

a=4 b=3 .a=12

x2/16+y2/144

Hence, An ellipse's equation has its origin at its center, its foci on the y-axis, and its major axis at x2/16+y2/144, which is three times longer than its minor axis.

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the temperature in summit green land was -29'F in Fairbanks Alaska the temperature was 23'F in barrels Brazil the temperature was 81'F which two cities had a difference in temperature of 58'F

Answers

Answer: Brazil and Alaska

Step-by-step explanation

Take away Brazil's temperature from Alaska's to get your answer

81 - 23 = 58'F

URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!

Answers

Answer: b. The radius is the same as a cylinder with a volume of 500(3) and the same height.

Step-by-step explanation:

The volume of a cylinder is 3 times that of a cone (assuming they have the same perpendicular height and radius).

determine the number of terms required to approximate the sum of the series with an error of less than 0.001.

Answers

The number of terms  - 2.

Here we assume that [tex]a_{n}[/tex] > 0 or all n, the terms are monotone decreasing and [tex]\lim_{n \to \infty} a_n[/tex] =0. This guarantees the convergence of the series. Now, if we choose a finite value N, and approximate the series by Σ [tex](-1)^{n}[/tex][tex]a_{n}[/tex] , the error in the approximation of the infinite series by this finite sum is bounded by [tex]a_{N + 1}[/tex] .

We are given the infinite alternating series

                      n=4,              ∑ [tex]\frac{(-1)^{n+1} }{n^{4} }[/tex]

and wish to approximate the sum with an error of less than 0.001.

Define [tex]a_{n}[/tex] = [tex]\frac{1}{n^{4} }[/tex] . Then we will solve the inequality [tex]a_{n}[/tex] < 0.001 :

                     [tex]\frac{1}{n^{4} }[/tex] < 0.001

                     [tex]n^{4}[/tex] > 1000

                     n > [tex]\sqrt[4]{1000}[/tex]

                        ≈ 5.62

Therefore, if we stop at n=5, the error will be less than 0.001. Since the series starts at n=4, we need only use 2 terms.

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g the coefficient of determination of a set of data points is and the slope of the regression line is . determine the linear correlation coefficient of the data.

Answers

The linear correlation coefficient of the data is -0.96

The correlation coefficient is a statistical measure of the strength of a two-variable linear relationship. Its values may be between -1 and 1.

A correlation coefficient of -1 indicates a perfect negative, or inverse, correlation, where values in one series increase as those in the other fall and vice versa.

A value of 1 indicates a direct and flawlessly positive link.

No linear relationship exists when the correlation coefficient is 0.

According to the question,

Coefficient of determination of a set of data points is given : R² = 0.93

Slope of the regression line = -5.26 (negative)

Therefore, The linear correlation coefficient is R

=> R² = 0.93

=> R = √0.93

=>R = 0.96

Since , the slope the regression line is negative, R will be negative in this case.

Therefore, the linear correlation coefficient of the data is: -0.96

I've answered the question in general as the question is incomplete

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When students are admitted to a specific university, they are given a seven (7) digit identification number (NNNNNNN). If the first digit must be either a 0 or 1, how many identification numbers are possible?

Answers

Step-by-step explanation:

so, we have 1 position with 2 options (0 or 1).

and 6 positions with 10 options (0 to 9).

so, we have

2×10×10×10×10×10×10 = 2×10⁶ = 2,000,000

different identification numbers possible.

Attending Class The following data represent the number of days absent, x, and the final grade, y, for a sample of college students in a general education course at a large state University
No. of Absensense, x 0 1 2 3 4 5 6 7 8 9
Final grade, y 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2
A) Find the least-sqaures regresssion line treating number of absenses as the explanatory variable and final grade as a response variable.
B) Interpret the slope and y-intercept , if appropriate.
C) Predict the final grade for a student who misses five class periods and compute the residual. Is the final grade abover or below average for this number of absenses.
D) Draw a least-sqaures regression line on the scatter diagram of the data.
E) Would it be reasonable to to use the least-sqaures regression line to predict the final grade for a student who has missed 15 class periods? why or why not?

Answers

We get the following answers:

A) The least square regression line is:

yi = 88.73 - 2.827(xi)

B) The slope  is β₁ = -2.827 and The intercept is β₀ = 88.73.

C) e*₆ = -0.6964, final grade is below average grade.

E) It would not be reasonable since no of absence increases the score decreases, it works well for small no of absences but will not work for large number of absences since it may give absurd final grade.

we have Xi = No of absences

Yi = Final grade

The regression model is

Yi = β₀ +  β₁Xi + i

β₀ = y -  β₁x

we have n = 10, x bar = 4.5 , y bar = 76.01

cov(x,y) = -23.325 and var(x) = 9.1667

therefore,  β₀ = 88.73 and  β₁ = -2.827

A) Least square regression line is given by:

yi =  β₀+ β₁Xi

yi = 88.73 - 2.827(xi)

B) The slope  β₁ = -2.827 which means when no of absence is increased by 1 duty then the final grade will decrease by 2.827

The intercept  β₀ = 88.73 when there are 0 days absence the average grade is 88.73

C) Predicted graph for student who misses five class periods is

x = 5

y*5 = 88.73 - 2.827(5) = 74.5964

Hence for corresponding residual is:

e*₆ = 73.9 - 74.5964

e*₆ = -0.6964, final grade is below average grade.

D) please see graph

E) when student miss 15 class periods the final grade will be

X = 5

y* = 88.73 - 2.827(15)

= 46

It would not be reasonable since no of absence increases the score decreases, it works well for small no of absences but will not work for large number of absences since it may give absurd final grade.

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A hiker maintains an average speed of 3 3/4 km/hr . How many kilometers will the hiker walk in the given amount of time? 2/3 hr

Answers

Hiker travels [tex]\frac{5}{2} km[/tex] in [tex]\frac{2}{3}hours[/tex] with speed of [tex]3\frac{3}{4} km/hr[/tex].

How is distance related to speed?

Defining speed as the speed at which an object's location changes in any direction.

The distance traveled in the context of the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The speed formula is provided as:

[tex]v=\frac{d}{t}[/tex];

where d is distance travelled, t is time taken and v is speed or velocity.

Average speed determined by the ratio of the total distance traveled by an object to the entire amount of time it took to travel that distance.

Calculation:

Given;

Average speed=[tex]3\frac{3}{4}=3+\frac{3}{4}=\frac{15}{4}[/tex];

Average speed=[tex]\frac{d}{t}=\frac{15}{4}[/tex];

Given total time [tex]\frac{2}{3}hours[/tex];

⇒[tex]d=\frac{2}{3}*\frac{15}{4}=\frac{5}{2} km[/tex];

Hiker travels [tex]\frac{5}{2} km[/tex] in [tex]\frac{2}{3}hours[/tex] with speed of [tex]3\frac{3}{4} km/hr[/tex].

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HELP ME ASAP!!!!!!!!!!!!
What is the radius

Answers

Answer:

7

Step-by-step explanation:

the circle is the midpoint

the midpoint is at (1,0)

And we have to find the 2 edges

(-6,0) and (8,0)

To find the distance we just subtract the x values since y is 0

8-1=7

1-(-6)

1+6=7

The radius is 7

Hopes this helps

If the null hypothesis is not rejected at the 5% level of significance, it 1 1. will also not be rejected at the 1% level. 2 will always be rejected at the 1% level.
3 will sometimes be rejected at the 1% level. 4 may be rejected or not rejected at the 1% level.

Answers

if the null hypothesis is not rejected at the 5% level of significance, it 1 , 2 will always be rejected at the 1% level, 4 may be rejected or not rejected at the 1% level.

The null hypothesis is a statement of a general population parameter that is assumed to be true. It is typically tested using a statistical test, such as an independent t-test or ANOVA. If the null hypothesis is not rejected at the 5% level of significance, it does not necessarily mean that it will also not be rejected at the 1% level. This is because the 1% level of significance is a stricter level of significance, meaning that the sample data must be even more extreme in order to reject the null hypothesis. Thus, the null hypothesis may be rejected or not rejected at the 1% level, depending on how extreme the data are.

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5/8oz 9/16oz 1/4oz 3/8oz from least to greatest

Answers

First change everything to a common denominator.
So since the least common multiple of all the denominators is 16, change all the fractions to that.
To do this, multiply the existing denominators to 16, and the numerators by the same number:
For 5/8, 8 has to be multiplied by 2 to get 16, so multiply the whole fraction by 2 to get 10/16.
For 9/16, keep it bc the denominator is already 16.
For 1/4, 4 has to be multiplied by 4 to get 16, so multiply the whole fraction by 4 to get 4/16.
For 3/8, 8 has to be multiplied by 2 to get 16, so multiply the whole fraction by 2 to get 6/16.
Now put them in order: 4/16, 6/16, 9/16, and 10/16.
Now change them back to their originals by simplifying but keep them in that order: 1/4, 3/8, 9/16, 5/8

There are 4 consecutive even integers that add up to 100. What is the least of the 4 integers?

Answers

Answer:

22

Step-by-step explanation:

Let's say the 4 consecutive integers are a, b, c, and d

a=b-2  ==> Consecutive even numbers have a difference of 2: Ex. (4-2=2)

b=c-2

c=d-2

a+b+c+d=100

Solve for a:

a=b-2  ==> add 2 on both sides

a+2=b

a+(a+2)+c+d=100  ==> substitute a+2 for b

a+2=c-2  ==> b=c-2 and a+2=b, so a+2=c-2

a+2+2=c-2+2  ==> add 2 on both sides

a+4=c

a+(a+2)+(a+4)+d=100 ==> substitute a+4 for c

a+4=d-2  ==> c=d-2 and a+4=c, so a+4=d-2

a+4+2=d-2+2  ==> add 2 on both sides

a+6=d

a+(a+2)+(a+4)+(a+6)=100  ==> substitute a+6 for d

a+a+2+a+4+a+6=100  ==> solve for a

a+a+a+a+2+4+6=100

4a+12=100 ==> simplify

4a+12-12=100-12 ==> isolate a

4a=88  ==> simplify

a=88/4

a=22

What are the ordered pairs of the
solutions for this system of equations?
y = x^2 -2x+ 3
y = -5x + 1

Answers

The solutions of the given system of equations are, (-2, 11) and (-1, 6).

What is system of equations?

A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations.

Consider, the given system of equations

y = x^2 - 2x + 3            ..(2)

y = -5x + 1                    ..(1)

Plug value of y in equation (1).

⇒ -5x + 1 = x^2 - 2x + 3

x^2 - 2x + 3 + 5x - 1 = 0

x^2 + 3x +2 = 0

x^2 + 2x + x + 2 = 0

x(x + 2) + 1(x + 2) = 0

(x + 2)(x + 1) = 0

(x + 2) = 0,      (x + 1) = 0

       x = -2,             x = -1

Now to find the value of y for each value of x.

Plug x = -2 in equation (2)

y = -5(-2) + 1 = 10 + 1 = 11

Plug x = -1 in equation (2)

y = -5(-1) + 1 = 5 + 1 = 6

Hence, the solutions of the given system of equations are, (-2, 11) and

(-1, 6).

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a market research firm is studying the effects of price and type of packaging on sales of a particular product. twenty-seven stores with shoppers of similar characteristics will be used in the study. the nine combinations of three price levels and three packaging types are the treatments of interest. total sales of the product over a seven-week period will be recorded. which of the following describes the best design to use for the study?

Answers

The most effective study design was "a totally random structure. Randomly choose three stores for each of the nine permutations of the price level as well as packaging type."

Based on information provided by the market research firm

27 shoppers with comparable characteristics in total were included in the study.

There are nine combinations in total.

3 levels are the total amount of price tiers.

Three different package types total.

Total sales time period: 7 weeks

According to the completely randomised design, just one key component needs to be studied in order to determine its impacts.

For each type and level for each combination, we must here employ a completely random design.

Consequently, the appropriate claim is "a totally random structure. Randomly choose three stores for each of the nine permutations of price level but also packaging type."

Since the stated question isn't complete, I've generally answered it.

The complete question is :

A market research firm is studying the effects of price and type of packaging on sales of a particular product. Twenty-seven stores with shoppers of similar characteristics will be used in the study. The nine combinations of three price levels and three packaging types are the treatments of interest. Total sales of the product over a seven-week period will be recorded. Which of the following describes the best design to use for the study?

a. А A completely randomized design Randomly assign the nine combinations of price level and packaging type that three stores use each combination

b. A completely randomized design. Randomly assign the three price levels so that nine stores use each price level

c. A completely randomized design. Randomly assign the three packaging types so that nine stores use each type of packaging

d. A randomized block design Use packaging as a block. Randomly assign the nine combinations of three price levels and three packaging types so that three stores use each combination

e. A randomized block design. Use packaging as a block Randomly assign nine stores to each packaging type, then randomly assign price level to three stores within each block.

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3. A rectangle is 8cm longer than it is wide. If its width is x cm and its area is 84cm², form an equation in x and solve it. Hence find the dimensions of the rectangle.​

Answers

Answer:

x = 6

Step-by-step explanation:

let x = the width

let x + 8 = the length

Area = w times l

84 = 14 x 6

width = 6

length = 6+8

           = 14

(Constant of Proportionality, Graphing Proportional Relationships, Real-World Proportional Problems HC)

A restaurant serves pancakes that are made from a powdered pancake mix. There is a proportional relationship between the number of scoops of powdered pancake mix and the amount of water needed to make them. For every 4 scoops of mix, one half quart of water is needed, and for every 12 scoops of mix, one and one half quarts of water are needed.

Part A: Find the constant of proportionality. Show every step of your work. (4 points)

Part B: Write an equation that represents the relationship. Show every step of your work. (2 points)

Part C: Describe how you would graph the relationship. Use complete sentences. (4 points)

Part D: How many quarts of water are needed for 20 scoops of pancake mix? (2 points)

Answers

Answer:

See below

Step-by-step explanation:

If I make x the scope of mix and y the quarts of water, my equation would be y = .125x

I can find the constant of Proportionally by y/x

Using points (4,.5) and (12,1.5)

(.5/4) = 0.125

(1.5/12) = 0.125

The equation would then be:

y = 0.125x

C see the graph provided from Desmos (a free graphing calculator).  as x Increases by 1, y increases by 0.125

y = 0.125x

y =.0125(20)

y = 2.5

For 20 scoops, I would need 2.5 quarts of water.

You can also see from the graph as 8 scoops, I would need 1 quart of water.

Determine the nth term formula for the number of square tiles in the nth figure.

Answers

Answer:

the nth term is 2n

Step-by-step explanation:

notice how for each number of tiles, 2, 4, 6, 8, 10, they are all multiples of 2, so like ok 2 is definitely in the term, next check how n can fit. Well, since they are multiples, you multiply n by 2, now check to see if you dont need to add any values by the following method:

first number = 2,  then 2(1) = 2 if n = 1

second = 4, then (2)(2) = 4 if n = 2

its all the same for the rest. Each new diagram or tile structures represents n, so if n =1, then there are 2 tiles, if n = 4 there are 8 tiles and so on, which explains us why the nth term is 2n

The nth term formula for the number of square tiles in the nth figure is aₙ=2n.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

The given sequence is 2, 4, 6, 8, 10,.....

Here, a=2 and d=4-2=2

Substitute a=2 and d=2 in aₙ=a+(n-1)d, we get

aₙ=2+(n-1)×2

aₙ=2+2n-2

aₙ=2n

Therefore, the nth term formula for the number of square tiles in the nth figure is aₙ=2n.

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missing angle of 28 and 21 trigonometry

Answers

Letss try using Pythagoras Theorem with

[tex]a+b+c=180\\21+28+c=180\\c=180-21-28\\c=131[/tex]

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Enter the ordered pair for the vertices for (Ry-axis T(2, 0))(QRST).

I need help with this please help me

Answers

The ordered pair for the vertices after the transformation will be:

Q' = (3, 5)

R' = (5, -1)

S'= (2, 0)

T' = (0, 3)

How to find the ordered pair for the vertices for (Ry-axis T(2, 0))(QRST)?

A geometric transformation is a function that maps points in a plane or space to other points in the same plane or space. Geometric transformations can be used to change the size, shape, orientation, or position of an object or image.

Given:  (Ry-axis T(2, 0))(QRST). That means we have a translation T(2, 0). This implies (x,y) → (x + 2, y + 0). Thus, the ordered pair for the vertices will be:

Q (x = 1, y = 5)

Q' = Q(x+2, y + 0) = (1+2, 5+0) = (3, 5)

R (x = 3, y = -1)

R' = R(x+2, y + 0) = (3+2, -1+0) = (5, -1)

S (x = 0, y = 0)

S' = S(x+2, y + 0) = (0+2, 0+0) = (2, 0)

T (x = -2, y = 3)

T' = T(x+2, y + 0) = (-2+2, 3+0) = (0, 3)

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Write the equation in exponential form. Assume that all constants are positive and not equal to 1. logz(w) = p ________
Write the equation in exponential form. Assume that all constants are positive and not equal to 1. log(s) =r ________
Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1. 7m = a ________

Answers

To write the equation in exponential form we must follow certain rules:

1. Logarithm product rule -            log b ( x ∙ y) = log b ( x) + log b ( y)

2. Logarithm quotient rule -           log b ( x / y) = log b ( x) - log b ( y)

3. Logarithm power rule -               log b ( x y) = y ∙ log b ( x)

4. Logarithm base switch rule -     log b ( c) = 1 / log c ( b)

1. ㏒z(w) = p

Here all constants are taken to be positive and not equal to 1

z = base of the logarithmic function

z^p = w --------> (1)

This z^p = w is the exponential form of ㏒z(w) = p

2. ㏒(s) = r

Here all constants are taken to be positive and not equal to 1

e = base of the logarithmic function

e^r = s --------> (2)

This e^r = s is the exponential form of ㏒(s) = r

3. 7m = a

Here we have to write the equation in logarithmic form

㏒(7m) = log r

log(7m) - log r = 0

We know quotient rule :-

log b ( x / y) = log b ( x) - log b ( y)  --------(A)

Applying that same principle to our question by using this equation we have:

log (7m/r)

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