For any value of x, the corresponding value of y will always be 7, and the line will be a horizontal line passing through the point (5,7).
If a straight line is parallel to the x-axis, then it means that the line will have a constant y-value for all values of x. This means that the slope of the line will be zero, because there will be no change in y for any change in x.
To find the equation of a straight line passing through the point (5,7) that is parallel to the x-axis, we need to find the equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.
Since the slope of the line is zero, we can write the equation as:
y = 0x + b
where b is the y-intercept.
To find the value of b, we can use the point (5,7) that the line passes through. Substituting x = 5 and y = 7 in the equation, we get:
7 = 0(5) + b
Simplifying, we get:
b = 7
Therefore, the equation of the straight line passing through the point (5,7) that is parallel to the x-axis is:
y = 7
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Raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5.
One possible polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5 is:
$4a^5 - 3a^4 + 2a^3 - 7a^2$
Polynomials expression explained.
A polynomial expression is a mathematical expression that consists of variables and coefficients, combined using the operations of addition, subtraction, and multiplication. The term "polynomial" comes from the fact that the expression can be thought of as a sum of many terms, each of which is a product of one or more variables raised to a non-negative integer power.
For example, the expression 3x^2 + 4x - 1 is a polynomial in one variable, x, with three terms. The first term is 3x^2, the second term is 4x, and the third term is -1. The highest power of the variable in this expression is 2, which makes it a polynomial of degree 2.
Polynomial expressions can be written in standard form, where the terms are arranged in descending order of degree and the coefficients are written with the highest power of the variable first. For example, the expression above could be written in standard form as 3x^2 + 4x - 1.
One possible polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5 is:
$4a^5 - 3a^4 + 2a^3 - 7a^2$
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will give brainliest to quickest answer
Answer:
The vertex is option C: (-6, -2)
Step-by-step explanation:
The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)
Pls mark brainliest.
You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?Give explanation
Answer:
To find out how many gallons of paint are needed to cover the walls, we need to first find the total area of the walls.
The four walls are rectangles with a length of 20 feet and a height of 12 feet. So, the area of one wall is:
20 feet x 12 feet = 240 square feet
Since there are four walls, the total area of the walls is:
4 x 240 square feet = 960 square feet
We know that one gallon of paint can cover approximately 320 square feet. To find how many gallons of paint are needed, we can divide the total area of the walls by the area covered by one gallon of paint:
960 square feet ÷ 320 square feet per gallon = 3 gallons of paint
Therefore, you need approximately 3 gallons of paint to cover the walls.
!!!!PLEASE HELP!!!!
Lesson 4.06
The number of people that enter a contest on the 1st day is 23. On the 2nd day 30 people entered, and 37
people entered on the 3rd day. This pattern continues and the contest lasts 28 days.
What is the total number of people that enter the contest? Write the arithmetic series formula you used
to determine the total number of people and show all steps used to find the solution.
Thus, 3290 persons in total have entered the contest. We calculated the sum using the following arithmetic series formula: [tex]S = (n/2) * [2a + (n-1)d][/tex]
what is arithmetic progression ?The phrase "arithmetic progression" (AP) describes a series of numbers in which every term—aside from the first—is derived by multiplying the previous term by a set value. The common difference is a constant number. The following equation can be used to symbolise an arithmetic progression: a n = a 1 + (n-1)d where d is the clear differentiation, a n is the n - th term, a 1 represents the initial term, and n is the total number of terms. For instance, an arithmetic progression with 5 terms and a common difference of 3 starting at 1 would be: 1, 4, 7, 10, 13
given
The formula for the sum of an arithmetic series can be used to determine the total number of contestants:
[tex]S = (n/2) * [2a + (n-1)d][/tex]
Here are the facts:
a = 23 (the first phrase) (the first term)
d = 7 (the usual difference, since each day 7 more participants enter the contest) (the common difference, since each day 7 more people enter the contest)
n = 28 (the number of terms, since the contest lasts 28 days) (the number of terms, since the contest lasts 28 days)
With these values entered into the formula, we obtain:
S = (28/2) * [2(23) + (28-1)(7)]
S = 14 * [46 + 189]
S = 14 * 235
S = 3290
Thus, 3290 persons in total have entered the contest. We calculated the sum using the following arithmetic series formula: S = (n/2) * [2a + (n-1)d].
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Suzy is shooting basketballs at Bob’s Gym. She makes 9 field goals. After 10 minutes, her friend Joshua joins her. They shoot basketballs together for another 20 minutes.
a. Write an expression for the total number of field goals Suzy and Joshua make during the 30 minutes they spend at the gym. Be sure to define the variable used in the expression.
b. Altogether, Suzy and Joshua made 27 goals. Use the expression you created to determine the number of field goals they made in the last 20 minutes. Explain your thinking.
The second term (20(S + J)) denotes the total number of field goals they both scored in the final 20 minutes.
what is expression ?An expression is a grouping of figures, symbols, and algebra (such as addition, reduction, multiply, and division) that expresses a value. Variables, that are symbols for unknowable values, are symbols that can be included in expressions. The statement can be evaluated to give a specific value after the contents of the variables are assigned. An expression using a variable x, for instance, is 3x + 5. When we give x a number of 2, the expression is evaluated to: 3(2) + 5 = 6 + 5 = 11 . As a result, the expression's value at x = 2 is 11.
given
a. Assume that "S" represents the number of field goals Suzy scores each minute and "J" represents the number of field goals Joshua scores each minute.
The calculation for the total number of field goals Suzy and Joshua score in their 30-minute workout is as follows:
[tex]Field goals total = (9 + 10 S) + (20 (S + J)[/tex]
The first term (9 + 10S) denotes Suzy's total number of field goals in the first 10 minutes, while the second term (20(S + J)) denotes the total number of field goals they both scored in the final 20 minutes.
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Help due tonight!!!!
Answer: 6(x - (23/2))² = 14x + 1044
Step-by-step explanation:
First, we need to move all the terms to one side of the equation:
6x² - 46x - 312 - 14x = 0
Next, we need to factor out the coefficient of the x² term:
6(x² - (46/6)x) - 312 - 14x = 0
Simplifying:
6(x² - 23x) - 312 - 14x = 0
To complete the square, we need to add and subtract the square of half the coefficient of the x-term inside the parentheses:
6[(x - (23/2))² - (23/2)²] - 312 - 14x = 0
Simplifying:
6(x - (23/2))² - 6(23/2)² - 312 - 14x = 0
Expanding the square term:
6(x - (23/2))² - 1044 - 14x = 0
Finally, adding 1044 to both sides and simplifying:
6(x - (23/2))² = 14x + 1044
The intermediate step after completing the square is:
6(x - (23/2))² = 14x + 1044
A line passes through the points (−4, 50) and (5, −31). What is the equation of the line in slope-intercept form?
Answer:
y = - 9x + 14
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 50 ) and (x₂, y₂ ) = (5, - 31 )
m = [tex]\frac{-31-50}{5-(-4)}[/tex] = [tex]\frac{-81}{5+4}[/tex] = [tex]\frac{-81}{9}[/tex] = - 9 , then
y = - 9x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, - 31 )
- 31 = - 9(5) + c = - 45 + c ( add 45 to both sides )
14 = c
y = - 9x + 14 ← equation of line
Please answer part b
Taking the quotient between the total volume and the flow rate, we can see that the correct option is D.
For how long has Jeremy been watching the falls?We know that water flows at a rate of 1.5*10^4 gallons per second. We know that 6.525*10^6 gallons flowed while Jeremy was watching, then the time that he has been watching is the quotient between these values, we will get:
time = ( 6.525*10^6)/(1.510^4) seconds = (652.5/1.5) second = 435 seconds
We know that 60 secons = 1 minute, then:
435/60 = 7 + 15/60
So he has been watching for 7 minutes and 15 seconds, the correct option is D.
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The energy for a rigid rotator constrained to rotate in the x-y plane is given by 21 where the moment of inertia I is a constant. (a) What is the Hamiltonian? Show that the Hamiltonian and L commute. What are the allowed energies and normalized energy eigenfunctions of the rigid rotator?
a. The Hamiltonian is given by:
H = T + V = (p² / 2I) + 0 = p² / 2I
b. Since the commutator is zero, we can conclude that the Hamiltonian and L commute.
c. The energy eigenfunctions are given by:
ψ[tex]_{n}[/tex](θ, φ) = √((2n + 1) / (4π)) × [tex]e^{(inφ)[/tex] × P[tex]_{n}[/tex](cosθ)
What is Hamiltonian?When time is not explicitly included in the function, it is used to characterize a dynamic system (such as the motion of a particle) in terms of momentum components and coordinates of space and time, and it is equal to the total energy of the system.
(a) The Hamiltonian is given by:
H = T + V = (p² / 2I) + 0 = p² / 2I
where T is the kinetic energy and V is the potential energy. Since the rotator is constrained to rotate in the x-y plane, there is no potential energy.
b. To show that the Hamiltonian and L commute, we need to calculate their commutator:
[H, L] = HL - LH
where L is the angular momentum operator given by L = r x p, where r is the position vector and p is the momentum operator.
HL = (p² / 2I) × (r × p) - (r × p) × (p² / 2I)
= (1/2I) × (p² × r × p - r × p × p²)
= (1/2I) × [p², r x p]
LH = (r x p) × (p² / 2I) - (p² / 2I) × (r x p)
= (1/2I) × (r × p × p² - p² × r x p)
= -(1/2I) × [p², r x p]
Therefore, [H, L] = [p², r x p] / 2I - [p², r x p] / 2I = 0.
Since the commutator is zero, we can conclude that the Hamiltonian and L commute.
c. The allowed energies of the rigid rotator are given by:
E[tex]_{n}[/tex]= (n² × h²) / (8I)
where n is a positive integer and h is Planck's constant. The energy levels are quantized and spaced equally apart, with the energy increasing as n increases.
The energy eigenfunctions are given by:
ψ[tex]_{n}[/tex](θ, φ) = √((2n + 1) / (4π)) * [tex]e^{(inφ)[/tex] * P[tex]_{n}[/tex](cosθ)
where θ is the polar angle and φ is the azimuthal angle, and P_n(x) is the n-th order Legendre polynomial. The eigenfunctions are normalized and orthogonal, with each energy level having a unique set of eigenfunctions.
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You decide that you need help painting your house so you hire the Color My World Painting Company. Before they can paint your house, they need to know how many square feet needs painting so they can be sure ti purchase enough paint. What is the Independent Variable and what is the Dependent Variable?
the amount of paint required is dependent on the size of the area that needs to be painted.
what is variables ?In an equation or algebraic expression, an uncertain amount is denoted by a symbol in algebra, which is often a letter. A variable is, in the simplest terms, a quantity that can change and is not fixed. The two primary categories of variables are categorical and numerical. Then, for both categorical and numerical variables, discrete or continuous subcategories are created for each category. In this section, a summary of several categories is provided. a measure that can take many different forms. Something that can alter; the sign of a variable; a variable in a scientific experiment.
Because it is the variable which the homeowner may alter or control, the area of the house that needs to be painted in this scenario is the independent variable. Because it depends on the portion of the home that needs to be painted, the overall quantity of paints that need to be obtained is a variable that is dependent. To put it a different way, the amount of paint required depends on the size of the area that needs to be painted.
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3(6+b)-(2b+1).
Nothing else answer is just too short to submit
Answer:
b + 17
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
The property we use,
→ Distributive property.
The expression is,
→ 3(6 + b) - (2b + 1)
Let's simplify the expression,
→ 3(6 + b) - (2b + 1)
Applying Distributive property:
→ 3(6) + 3(b) - (2b) - (1)
→ 18 + 3b - 2b - 1
Combining the like terms:
→ (3b - 2b) + (18 - 1)
→ (1b) + (17)
→ b + 17
Hence, the answer is b + 17.
can yall pls help me with this? i have been having a rlly bad day so this would help me alot.
The possible number of pounds of candy that Linda will buy can be shown as p > 5 .
How to find the possible number ?Let's use algebra to solve the problem. We know that Linda will spend more than $30 on candy, so we can write:
6p > 30
Dividing both sides by 6, we get :
p > 5
This means that Linda must buy more than 5 pounds of candy in order to spend more than $30. And this can be shown by the expression, p > 5.
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A rental company charges a flat fee of $50 to rent a ski jet. In addition, renters must pay $17.50 per hour of ski use. Which equation correctly represents the total cost, c, to rent a jet ski for h hours?
Answer:
f(x) C= x+50 x=17.50$/h
Step-by-step explanation:
I might not be sure about it, but it might be a function that is f(x) C= x + 50 dollars
x=17.50 dollars /hour
so that means if it is 1 hour, then 17.50$ +50$ which is 67.50$, if it's 2 hours then 17.50$/h = n$/2h so n=17.50$ *2 = 35$ + 50$ = 85$
Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work.
Which sums prove that the boards will create a triangular outline for the garden? Select all that apply.
5 + 2.5 > 4
5 + 2.5 < 4
4 + 2.5 > 5
4 + 2.5 < 5
4 + 5 > 2.5
The sums that prove that the wooden boards can create a triangular outline according to triangle inequality rule are:
5 + 2.5 > 4,5 + 4 > 2.5,2.5 + 4 > 5.Which sums prove that wooden boards?The triangle inequality rule states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
Testing each combination of sides, we get:
Case 1:
Let 5 feet be the third side
Then,
2.5 + 4 > 5
6.5 > 5
Case 2:
Let 2.5 feet be the third side
Then,
4 + 5 > 2.5
9 > 2.5
Case 3:
Let 4 feet be the third side
Then,
5 + 2.5 > 4
7.5 > 4
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PLEASE HELP AND SHOW WORK! EXPLAIN HOW YOU GOT THE ANSWER I WILL MARK YOU BRAINLIEST
Answer: The formula for the volume of a cone is V=1/3hπr²
Step-by-step explanation: The volume or capacity of a cone is one-third of its corresponding cylinder. This means that when a cone and a cylinder have the same base dimension and height, the volume of the cone is one-third of the volume of the cylinder.
Mrs. Dundee wants to sell the rights to her new Cajun cookbook, and she has two offers. The first publisher has offered to pay $80,000 up front and a $3 royalty for every book sold. The second publisher has offered to pay $30,000 up front and $5 for every book sold. Over what range of sales will Mrs. Dundee make more from the second publisher than from the first?
Mrs. Dundee will make more from the second publisher than from the first if she sells more than $25,000 worth of books.
What is the rate?In mathematics, rate is a measure of the change in one quantity with respect to another quantity. It is typically expressed as a ratio between the two quantities.
According to the given information:Let's represent the number of books sold as "x". Then, the total amount of money that Mrs. Dundee will make from the first publisher is:
Total from first publisher = $80,000 + ($3 x x) = $3x + $80,000
Similarly, the total amount of money that she will make from the second publisher is:
Total from second publisher = $30,000 + ($5 x x) = $5x + $30,000
We want to find the range of values of x for which the total amount from the second publisher is greater than the total amount from the first publisher. In other words, we want to find the range of values of x for which,
$5x + $30,000 > $3x + $80,000
Simplifying this inequality, we get:
$2x > $50,000
x > $25,000
Therefore, Mrs. Dundee will make more from the second publisher than from the first if she sells more than $25,000 worth of books.
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Alex lunch cost 12.00. She added a 15%tip to the price of the lunch How much did Alex pay for her lunch and tip
Alex will pay 13.8 for her lunch after adding a 15% tip.
We will calculate the amount she paid for her lunch by calculating the tip she paid and adding it to the original price of the lunch(i.e. 12).
[tex]\implies{\sf{15 \% \ of \ 12 \ = \ 12 \times \dfrac{\cancel{15}}{\cancel{100}} }}[/tex]
[tex]\implies{\sf{Tip = \cancel{12} \times \dfrac{3}{\cancel{20}}}}[/tex]
[tex]\implies{\sf{Tip = 3 \times \dfrac{3}{5}}}[/tex]
[tex]\implies{\sf{Tip = \dfrac{9}{5}}}[/tex]
[tex]\implies{\sf{ Tip = 1.8}}[/tex]
Now, add the amount of lunch and tip
[tex]\implies{\bf{ Total \ amount = 12 + 1.8}} \\ \implies{\bf{Total \ amount = 13.8}[/tex]
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$75.00
$93.75
$935.75
$9375.00
Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7. 80 per pound with French Roast Columbian coffee that cost $8. 10 per pound to make a 20-pound blend. Their blend should cost them $7. 92 per pound. How many pounds of each type of coffee should they buy?
They should mix 16 pounds of City Roast Columbian coffee with 4 pounds of French Roast Columbian coffee to make their blend.
How many pounds of each coffee should be used?Let x be the number of pounds of City Roast Columbian coffee.
Let y be the number of pounds of French Roast Columbian coffee.
The total cost of the blend is 7.80x + 8.10y
The total weight is x + y = 20.
We can write an equation for the cost per pound:
(7.80x + 8.10y) / 20 = 7.86.
We will multiply both sides by 20 which gives:
7.80x + 8.10y = 157.20.
We can use this equation along with the total weight equation to solve for x and y:
x + y = 20
y = 20 - x (subtract x from both sides)
7.80x + 8.10(20 - x) = 157.20 (substitute y = 20 - x into the cost equation)
7.80x + 162 - 8.10x = 157.20 (distribute)
-0.30x = -4.80
x = 16
Solve for the equation (x + y = 20):
y = 20 - x
y = 20 - 16
y = 4.
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From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which THREE statements are correct for the outcome of the event?
The correct statements for the given probability are-
A) There is a 1/2 chance of drawing the black card.B) 1/4, you'll draw the diamond.D) The compound event's probability is 1/8.Explain about the deck of cards:The following are the key concepts for probability problems to understand:
A deck of cards contains 52 cards in total.There are 13 different card ranks. These ranks include of jack, queen, king, and aces as well as the digits 2 through 10. The ranking is described as being "ace high."Hearts, diamonds, spades, and clubs are the four suits. There are therefore 13 clubs, 13 spades, 13 diamonds, and 13 hearts.Red text is used to print the diamonds and hearts. Black ink is used to print the spades and clubs. Hence, there are 26 red and 26 black cards.Given condition:
Your initial draw is a black card from a regular deck of cards.You switch out the card, and a diamond is drawn on the second draw.Total number of card in deck = 52
Total black cards = 26
Total diamonds = 13
So,
probability ( black card ) = total black card / total cards
probability ( black card ) = 26 /52
probability ( black card ) = 1/2
probability (diamond ) = total number of diamond cards / total cards
probability (diamond ) = 13/ 52
probability (diamond ) = 1/4
probability (compound event) = probability (black and diamond)
probability (compound event) = 1/2 * 1/4
probability (compound event) = 1/8
Thus, The correct statements for the given probability are-
A) There is a 1/2 chance of drawing the black card.B) 1/4, you'll draw the diamond.D) The compound event's probability is 1/8.Know more about the deck of cards:
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Complete question:
From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which THREE statements are correct for the outcome of the event?
A) The probability of drawing the black card is 1/2
B) The probability of drawing the diamond is 1/4
C)The probability of the compound event is 1/6
D) The probability of the compound event is 1/8
E) The probability of the compound event is 3/4
1. Describe the basic characteristics of an independent
measures, or a between-subjects, research study.
The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant
Describing the basic characteristicsAn independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.
In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.
The main characteristics of an independent measures design are:
Participants are randomly assigned to one of the groups. Each group of participants is exposed to only one level of the independent variableData is collected from each group and compared to determine if there are any significant differences between the groups. The design requires a larger sample size compared to a within-subjects design because each participant can only be in one group.Read more about research study at
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How many weeks will it take you to earn $3,437.50, if you work 25 hours
per week and make $12.50 per hour?
Answer:
We can start by calculating the total amount of money earned per week:
$12.50/hour x 25 hours/week = $312.50/week
To find out how many weeks it will take to earn $3,437.50, we can set up a proportion:
Total amount earned / Amount earned per week = Number of weeks
$3,437.50 / $312.50/week = 11 weeks
Therefore, it will take 11 weeks to earn $3,437.50 working 25 hours per week at a rate of $12.50 per hour.
Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 14 boxes. It is reasonable to assume that the population is approximately normal. 14.07 13.99 14.16 14.17 14.15 14.11 14.24 13.99 14.14 14.13 14.20 14.21 14.06 14.05 Send data to Excel Part: 0 / 20 of 2 Parts Complete Part 1 of 2 (a) Construct a 99.9% confidence interval for the mean weight. Round the answers to at least three decimal places. A 99.9% confidence interval for the mean weight is <<μ.
The 99.9% confidence interval for the mean weight is (14.042, 14.202).
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.
To construct a 99.9% confidence interval for the mean weight, we can use the formula:
CI = X ± Zα/2 * (σ/√n)
where X is the sample mean, Zα/2 is the critical value from the standard normal distribution corresponding to a 99.9% confidence level (which is 3.291), σ is the population standard deviation (which we don't know, so we will use the sample standard deviation as an estimate), and n is the sample size.
First, we need to calculate the sample mean and sample standard deviation:
X = (14.07 + 13.99 + 14.16 + 14.17 + 14.15 + 14.11 + 14.24 + 13.99 + 14.14 + 14.13 + 14.20 + 14.21 + 14.06 + 14.05) / 14 = 14.122
s = sqrt((1/(n-1)) * ∑(xᵢ - X)²) = 0.072
where n is the sample size and ∑(xᵢ - X)² is the sum of squared deviations from the sample mean.
Plugging in the values, we get:
CI = 14.122 ± 3.291 * (0.072/√14) = (14.042, 14.202)
Therefore, the 99.9% confidence interval for the mean weight is (14.042, 14.202).
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Also they all should be one step equations: integers
Answer: 3. is 13
4. is 36
5. is 21
6. is 15
7. is 21
8. is 2
9. is 6
10. is 45
Step-by-step explanation:
the letters are there to just confuse you. i promise its all right <-- the answers
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HELP I HAVE THE IQ OF A FISH PLEASE
Answer:
14
Step-by-step explanation:
28 mm is the diameter of the button, so we have to find the radius, which is half of the diameter.
28/2=14
So, the radius of this button is 14 mm
A trip to St. Louis from Atlanta will take 7¾ hours. Assuming you're two-thirds of the way there, how much longer, in hours, will the trip take?
Answer:
5 and 1/6 hours
Step By Step Explanation:
Carly wants to fly to Canada, rent a car, and drive 568 miles to visit her sister in a truck that gets 21 miles per gallon. If gas costs $1. 02 per liter, how much will the road trip cost her? There are 3. 79 liters in 1 gallon. Round your answer to the nearest cent
Carly will need to buy 27.05 gallons of gas for the trip, which will cost her $7.28.
To calculate the total cost of the road trip, we need to find out how many gallons of gas Carly will need and then multiply that by the cost per gallon.
First, we need to convert the distance from miles to gallons, using the truck's fuel efficiency of 21 miles per gallon
568 miles ÷ 21 miles per gallon = 27.05 gallons
So Carly will need approximately 27.05 gallons of gas for the trip.
Next, we need to convert the cost of gas from liters to gallons. There are 3.79 liters in 1 gallon, so the cost of gas is:
$1.02 per liter ÷ 3.79 liters per gallon = $0.269 per gallon
Finally, we can calculate the total cost of the road trip by multiplying the number of gallons of gas by the cost per gallon
27.05 gallons × $0.269 per gallon = $7.28
Therefore, the road trip will cost Carly approximately $7.28.
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Find the value of x and y in each triangle
Answer:
x=4 y=3
Step-by-step explanation:
because y=3 and x=4
Please help I’ll mark brainly
1) Note that the rates of change (slope) are 4 and 30 respectively over (0,3). This mean that the slope of y=1+4^x is much higher. This is also evidenced in the graph.
Why is it important to compare slopes of linear equations?It is crucial to compare the slopes of linear equations because it can disclose vital information about how the dependent variable varies in relation to the independent variable.
It may also be used to find patterns or trends in data and forecast future behavior.
Note that to get the y values of each function, we just plugged in the value of x into the equation to solve. See the attached sheet showing the formula .
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True or False: For a given mass of rising air, the dry adiabatic rate will always be higher than the wet adiabatic rate.
Answer:
true
Step-by-step explanation:
because there's less humidity