The number of positive integers is 24
How to determine the number of positive integers?The digits of the wooden toys are:
0, 0, 1, 2
Since each block cannot be used more than once, and there are four blocks in total;
The number of positive integers is;
Integers = 4!
Expand
Integers = 4 * 3 * 2 * 1
Evaluate
Integers = 24
Hence, the number of positive integers is 24
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Question 6 of 10
What is the approximate value of x in the diagram below? (Hint: You will need
to use one of the trigonometric ratios given in the table.)
23
54°
90°
OA. 18.61
OB. 39.12
C. 31.64
36°
sin 36
cos 36
tan 36
0.588
≈ 0.809
0.727
Answer:
C. 31.64
Step-by-step explanation:
23 = sin(36) × Hypotenuse
Hypotenuse is the baseline between the angles 36° and 54°.
Hypotenuse = 23/sin(36)
x = cos(36) × Hypotenuse
x = cos(36) × 23/sin(36) = cos(36)/sin(36) × 23 =
= 1/tan(36) × 23 = 23/tan(36) = 31.63686382... ≈
≈ 31.64
The approximate value of x in the diagram is,
⇒ x = 31.5
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
Now, We can formulate;
⇒ tan 36° = 23 / x
⇒ 0.73 = 23/x
⇒ x = 23 / 0.73
⇒ x = 31.5
Thus, The approximate value of x in the diagram is,
⇒ x = 31.5
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Two shops, Tisco and Azda, sell the same brand of baked beans with the following deals.
Calculate the price per 12 items.
Write down which shop is the best value in the comment box.
azda:3 for 1.14
tisco:4 for 1.56
Answer:
Azda has the best value: 4.56
Step-by-step explanation:
azda sells three products for 1.14, so twelve products would cost 4.56(1.14 * 4)
tisco sells four products for 1.56, so twelve products would cost 4.68(1.56*3)
azda has the best value
I need a picture of the graph
Answer:
The graph is shown above.
Tommy starts walking from school to home at the same time that his Dad starts walking from home to school. They both depart at 3:00 p.m. Tommy is walking at a speed of 1.35 meters per second, and his Dad is walking at a speed of 1.65 meters per second. The distance between home and school is 720 meters. At what time will they meet?
Answer:
They will meet at 3:04 p.m
Step-by-step explanation:
Since they are walking towards each other , that means we should add their speed together:
speed = 1.35 m/s + 1.65 m/s
= 3 m/s
Now that we have found the speed, we can calculate the time:
time = 720 meters / 3 m/s
= 240 seconds
= 4 minutes ( 240 seconds is 4 minutes)
Mary Beth is a supervisor of a unit consisting of four employees--Cheryl, Susan, Fred and Michael. Financial hardship dictates that the organization has to downsize its operations and Mary Beth has to let two of her employees go. The organization decides to retain or terminate employees based solely on their seniority.
Mike has higher seniority than Cheryl.
Fred has higher seniority than Sue.
Fred has higher seniority than Cheryl.
Based on the level of seniority of Mary Beth's unit, the correct conclusions on who will be terminated is:
Unknown. Unknown.Who will be terminated?Cheryl will be terminated because both Fred and Mike have seniority over them which means that they are at least third in seniority.
However, we cannot tell who will be terminated between Mike and Sue because the relationship between them is undefined. Fred is safe from termination, however.
The rest of this question is:
1. Mike will be terminated
A)True
B)False
C)Unknown
2. Sue will be terminated
A)True
B)False
C)Unknown
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set x is made up of the possible ways five students, represented by a, B, C, D, and E, can be formed into groups of three. Says y is made up of the possible ways five students can be formed into groups of three if student a must be in all possible groups. which statements about the situation are true
The true statement about the set include:
Set X has 10 possible groupings. X Y Set Y = {ABC, ABD, ABE, ACD, ACE, ADE} There are three ways to form a group if persons A and C must be in it.How to illustrate the information?If set X is made up of the possible ways five students, represented by A, B, C, D, and E, can be formed into groups of three, then the set X consists of such triples {ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE}.
The set X totally contains 10 elements.
There are three ways to form a group if persons A and C must be in it. This statement is true and these groups are ABC, ACD, ACE.
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Ralph chase plan to sell a piece of property for $160,000. He wants the money to be paid off in two ways- a short term note at 10% interest and a long term note at 7% interest. Find the amount of each note if the total annual interest paid is $13750.
$85000 was paid at a short term note at 10% interest while $75000 was paid at a long term note at 7% interest.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount of fund at 10% and y represent the amount of fund at 7% interest, hence:
x + y = 160000 (1)
Also:
0.1x + 0.07y = 13750 (2)
From both equations:
x = 85000 and y = 75000
$85000 was paid at a short term note at 10% interest while $75000 was paid at a long term note at 7% interest.
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Approximately what interest rate to the nearest whole percentage would you need to earn in order to turn $3,500 into $7,000 over
10 years?
The interest rate to the nearest whole percentage would you need to earn in order to turn $3,500 into $7,000 over 10 years is 10%
Simple interest and amountThe formula for calculating amount is expressed as;
Amount = Principal + Simple interest
Given the following
Amount = $7000
Principal = $3500
time =10 years
Substitute
7000 = 3500 + 3500(R)(10)
3500 = 35000R
R = 3500/35000
R = 0.1
Hence the interest rate to the nearest whole percentage would you need to earn in order to turn $3,500 into $7,000 over 10 years is 10%
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The graph of the function f(x)=log7(x) is stretched vertically by a factor of 4, shifted to the left by 5 units, and shifted down by 3 units.
The resulting function after all transformations have been carried out is; 4log7(x+5) + 2.
Which function results from all the Transformations?The transformations which ensued on the function given are as follows;
Stretched vertically by a factor of 4; Hence, we have; 4f(x) = 4log7(x).
Shifted to the left by 5 units; 4f(x) = 4log7(x +5).
Shifted down by 2 units; 4f(x) +2 = 4log7(x+5) + 2.
On this note, it follows that the resulting function upon all the Transformations is; = 4log7(x+5) + 2.
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Solve for the missing item in the following. (Do not round intermediate calculations. Round your answer to the nearest whole percent.)
Principal 5000 time 6 months simple interest $300
Rate?
Answer:
The answer is $0.36
Step-by-step explanation:
from question 1 to 27, total up all of the A choices you selected on your test. What was the total number? PLWASEEE HELPPP
The addition of the total choices selected in the test based on the assumed figures is 891.
How to compute the value?Your question is incomplete and the complete question wasn't found online. An overview will be given. The assumed figures for A choices include the numbers from 20 to 46. In this case, the total of the numbers will be:
= 20 + 21 + 22 + 23 + 24 .... 46.
= 891
In conclusion, the correct option is 891.
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Let v = leftanglebracket 3, negative 2 rightanglebracket. what is the approximate direction angle of v?
The approximate direction angle of v is 326°
Definition of Direction Angle
A vector's direction angle is the angle formed by the positive x-axis and the vector v. The arctangent of the ratio between the vertical and horizontal components of the vector, v=xi+yj, can be used to determine the direction angle, θ.
What is the direction angle of v?
Let θ be the direction angle of v or the angle mad by v with the horizontal line.
It is given that,
[tex]v = < 3, -2 >[/tex]
We know that,
θ = tan⁻¹([tex]\frac{y}{x}[/tex])
Here, we have y = -2 and x = 3. Hence, we get,
∴ θ = tan⁻¹[tex](\frac{-2}{3})[/tex]
⇒θ = tan⁻¹(0.66)
Hence the direction angle of v = 360 - tan⁻¹(0.66)
≈ 326°
Thus, the approximate direction angle of v is 326°.
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Sarah will ship packages for anyone. She charges $6 for her services and then $2.75 per item. How much would she charge to ship 8 items
1
Which expression is equivalent to [log9+ logx+log(x²+4)]-log6?
og 3√x (x² + 4)
2
O log-
3√√x (3x+4)
2
O log-
√9x(x³+4)
6
O log-
log9x(x³+4)
6
The equivalent expression to the given logarithm without tables is [tex]\mathbf{ =log_{10} (\dfrac{3x(x^2+4)}{2})}[/tex]. Option A is correct.
What are equivalent expressions?Equivalent expressions are expressions that differ in appearance but when a value is being replaced for their unknown variable, gives an equivalent result.
From the given information:
[tex]\mathbf{(log_{10}(9)+log_{10}(x) + log_{10}(x^2+4) )-log_{10} (6) }[/tex]
[tex]\mathbf{=log_{10}(9)+log_{10}(x) + log_{10}(x^2+4) -log_{10} (6) }[/tex]
[tex]\mathbf{=log_{10}(9x)+ log_{10}(x^2+4) -log_{10} (6) }[/tex]
[tex]\mathbf{=log_{10}(9x(x^2+4)) -log_{10} (6) }[/tex]
Apply log rule: [tex]\mathbf{log_a(x)-log_a(y) =log_a(\dfrac{x}{y})}[/tex]
[tex]\mathbf{=log_{10}(9x(x^2+4)) -log_{10} (6) =log_{10} (\dfrac{9x(x^2+4)}{6})}[/tex]
[tex]\mathbf{ =log_{10} (\dfrac{9x(x^2+4)}{6})}[/tex]
[tex]\mathbf{ =log_{10} (\dfrac{3x(x^2+4)}{2})}[/tex]
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For the function f(x) = -(x+6)(x+2), when is the function decreasing and when is it increasing?
Answer:
• The function f is increasing to the left of -4 (-∞ , -4]
• The function f is decreasing to the right of -4 [-4 , +∞)
Step-by-step explanation:
f(x) = -(x+6)(x+2)
= -(x² + 2x + 6x + 12)
= -(x² + 8x + 12)
= -x² - 8x - 12
The leading coefficient is -1 (the coefficient of the highest term -x² of the trinomial)
Then
The parabola opens downward.
………………………………………
[tex]-\frac{b}{2a} =-\frac{-8}{2\times \left( -1\right) } =-4[/tex]
Then
The function f is increasing to the left of -4 (-∞ , -4]
The function f is decreasing to the right of -4 [-4 , +∞)
I need help please I can't figure this out
The table which shows that y vary directly with x is the first table, second table and third table.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the first table, using the points (1, 3) and (3, 9):
y = 3x
From the second table, using the points (-4, -2) and (-2, -1):
y = (1/2)x
From the third table, using the points (-2, 2) and (-1, 1):
y = -x
The table which shows that y vary directly with x is the first table, second table and third table.
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Estimate the following quantities without using a calculator. Then find a more precise result, using a calculator if necessary. Discuss whether the approximation technique worked.
The approximate value of 63000 x 200 will be 12600000.
What is multiplication?
In mathematics, multiplication is defined as the sum of the numbers to the other number given. Like if 2 is multiplied by 3 then the multiplication will be the sum of the two-three times.
Given expression is 63000 x 200 so here we need to calculate the sum of the 63000 to 200 times.
E = 63000 x 200
E = 12600000
Therefore the approximate value of 63000 x 200 will be 12600000.
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QUESTION IS DOWN BELOW!
Answer:
The ratio of the widths is 3:16, the ratio of the volumes is 27:4096, and the ratio of the surface areas is 9:256.
Step-by-step explanation:
In Geometry, you'll learn that when the scale factor of similar figures is a:b, then the ratio of the perimeter is a:b, the ratio of the area is a*a:b*b and the ratio of volume is a*a*a:b*b*b.
Consider the following data.
13,13,−5,−5,13,11,−5
Step 1 of 3 : Determine the mean of the given data.
Step 2 of 3: Determine the median of the given data.
Consider the following data.
13,13,−5,−5,13,11,−5
Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.
The median is 5.
The median is 11.
The data set is bimodal.
What is the mean, median and mode of the data?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(13 + 13 −5 −5 + 13 + 11 −5) / 7 = 35/7 =5
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
-5, -5, -5, 11, 13,13, 13
Median = 11
A bimodal data set is a distribution with two clear most frequent values.
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what is the answer of:
[tex]2 \div 3 + \sqrt{5} [/tex]
Answer:
[tex]\frac{2 \: + \: 3 \sqrt{5} }{3} [/tex]
Step-by-step explanation:
[tex] \frac{2}{3} + \sqrt{5} = [/tex]
[tex] = \frac{2}{3} + ( \sqrt{5} \times \frac{3}{3} )[/tex]
[tex]= \frac{2}{3} + \frac{3 \sqrt{5} }{3} [/tex]
[tex]= \frac{2 \: + \: 3 \sqrt{5} }{3} [/tex]
Compare and Contrast a square and an equilateral triangle? Be sure to communicate and discuss using mathematical language, ideas and concepts from this module.
The comparison and contrast between a square and an equilateral triangle are stated and explained below:
What is a square? A square is a plane shape with an equal length of sides. This implies that the measure of its length is the same as that of its breadth.
What is an equilateral triangle? A triangle is a plane shape with three sides, and a sum of its internal angles to equal [tex]180^{o}[/tex]. Thus an equilateral triangle is a type of triangle with equal lengths of sides, and therefore equal internal angles.
Comparison: i. The two shapes have equal lengths of sides.
ii. An equilateral triangle and a square are examples of plane shapes.
Contrast: i. An equilateral triangle has three sides, while a square has four sides.
ii. An equilateral triangle has three internal angles, while a square has four internal angles which are right angles.
iii. The sum of internal angles of an equilateral triangle is [tex]180^{o}[/tex], while that of a square is [tex]360^{o}[/tex].
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Kindly get 1-on-1 help from an expert tutor for more explanations if required.
Answer:
A square has degrees that add up to 360 but an equilateral triangle only adds up to 180
Step-by-step explanation:
can someone pls help find x and y
Answer:
x = 9 & y = 29
Step-by-step explanation:
Since we know that 7x is next to 117, that area will be equal to 180*,
7x + 117 = 180
7x = 180-117
7x=63
x=9
to find y, you can use the same method, just by finding the other angle inside. 53+7(9) + z = 180
53+63 = 180
116+z = 180
z = 180-116
z = 64.
Then we do
4y + 64 = 180
4y = 180-64
4y=116
y = 29
the two lines graphed below are parallel. how many solutions are there to the system of equation
Since parallel lines do not meet, hence we can conclude that they have infinitely many solutions
Solution to system of equationsThe given graph contains 2 straight lines. passing through the y- axis.
The graphed lines has np solution since they do not have any point of intersection on the place. They are known as parallel lines.
Since parallel lines do not meet, hence we can conclude that they have infinitely many solutions
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Simplify the following expression, and combine like terms: 15x²y - 4(-2xy² - 9xy) + 12xy² - 8xy - 9x
Answer:
15x^2y+20xy^2+28xy-9x
Step-by-step explanation:
15x²y - 4(-2xy² - 9xy) + 12xy² - 8xy - 9x
First distribute the -4 to all the terms in the parentheses
15x²y +8xy² + 36xy + 12xy² - 8xy - 9x
Now combine like terms
15x²y +8xy² + 12xy² + 36xy - 8xy - 9x
15x^2y+20xy^2+28xy-9x
Determine the appropriate test to be used in the next statements.
An archeologist is calculating the distribution of the frequency of the number of artifacts she finds in a dig site. Based on previous digs, the archeologist creates an expected distribution broken down by grid sections in the dig site. Once the site has been fully excavated, she compares the actual number of artifacts found in each grid section to see if her expectation was accurate.
An economist is deriving a model to predict outcomes on the stock market. He creates a list of expected points on the stock market index for the next two weeks. At the close of each day’s trading, he records the actual points on the index. He wants to see how well his model matched what actually happened.
A personal trainer is putting together a weight-lifting program for her clients. For a 90-day program, she expects each client to lift a specific maximum weight each week. As she goes along, she records the actual maximum weights her clients lifted. She wants to know how well her expectations met with what was observed.
A meteorologist wants to know if East and West Australia have the same distribution of storms.
A pharmaceutical company is interested in the relationship between age and presentation of symptoms for a common viral infection. A random sample is taken of 500 people with the infection across different age groups.
The owner of a baseball team is interested in the relationship between player salaries and team winning percentage. He takes a random sample of 100 players from different organizations.
A marathon runner is interested in the relationship between the brand of shoes runners wear and their run times. She takes a random sample of 50 runners and records their run times as well as the brand of shoes they were wearing.
The statistical test that can be used for the given statements is; the goodness-of-fit test
How to determine the best statistical tests?
1) For the archeologist story, the goodness-of-fit test is the best and most relevant test that can be applied because the archaeologist wishes to determine if her prediction was correct by comparing the actual number of artefacts recovered in each grid section to the expected frequencies.
2) The economist generates a list of expected stock market index points for the next two weeks, as well as the actual points at the end of each trading day. The economist then compares the actual and expected points to ensure that the model he constructed is accurate. As a result, economists can use the goodness-of-fit test in this study.
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One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers.
Which of the following equations could be used to solve the problem?
8 x - x = 70
x - 8 x = 70
x - 8 = 70
Answer:
8x - x = 70
Step-by-step explanation:
x equals 10 because,
8 x 10 = 80
and x = 10, so 80 - 10 = 70.
Find the midpoint of the line segment joining the points P1 and P2. P1 = (x, 8); P2 = (0, 9)
Answer:
(x/2 , 17/2)
Step-by-step explanation:
To find a midpoint, you average the x's and average the y's. Average them by adding the x-coordinates and divide by 2. Same with the y's.
The x's are x for P1 and 0 for P2.
x+0 / 2
=x/2
This will be the x-coordinate of the midpoint. Then for the y, use 8 and 9, the y's.
8+9 / 2
= 17/2
This will be the y-coordinate of the midpoint.
The midpoint is:
(x/2 , 17/2)
You could also divide 17/2 and get 8.5 then the midpoint would be:
(x/2 , 8.5)
giving brainliest!!!!!!
Answer:
10.4
Step-by-step explanation:
So an exponential equation with a decay can be expressed as: [tex]f(x)=a(1-r)^t[/tex] where r is the decay rate. In this case is decreasing at 4% each year, this means that the r is equal to 0.04 (divide the percent by 100 to convert to decimal). So the equation is going to be: [tex]f(x)=a(0.96)^t[/tex]. The reason this works is because whenever you decrease by x%, the new value is (1-x)%, which is expressed in the formula. But the reason the exponent is there is because after 1 year it's going to be 0.96a, but after two years, it's going to be 0.96 the previous year which is 0.96a, so after two years it's going to be 0.96(0.96a), and then the next year it's 0.96 of the second year, which is then 0.96(0.96(0.96a))... and so on. So the amount of 0.96 increases as t increases. the a is going to be the initial amount, since then t=0, 0.96^0 will be equal to 1, which makes the expression a(1), which is just a. So this gives you the complete equation: [tex]p(x)=13000(0.96)^t[/tex]
Now to find when it's equal to 8,500 you need to start by setting it equal to 8,500 so I'll work through each step
Original Equation:
[tex]p(x)=13000(0.96)^t[/tex]
Set the equation equal to 8,500
[tex]8500=13000(0.96)^t[/tex]
Divide both sides by 13,000
[tex]0.653846\approx 0.96^t[/tex]
Rewrite in logarithmic form
[tex]log_{0.96}0.653846=t[/tex]
If you're calculator allows you to enter the base when calculating log, but this expression into your calculator to calculate the value of t, otherwise use the change of base formula
[tex]\text{change of base formula: }log_ba = \frac{log(a)}{log(b)}[/tex]
[tex]t=\frac{log0.653846}{log0.96}\\[/tex]
[tex]t\approx\frac{-0.1845}{-0.0177}[/tex]
[tex]t\approx10.4[/tex]
In the US, 47.3% of smart phones sold are made by Apple.
Suppose that 20,465 smart phone were sold in one day.
How many of those phones would be made by Apple?
9680 smart phones of total 20465 sold smart phones would be made by Apple.
Percentage is a mathematical measurement of any mathematical quantity or number or another measurement out of a total of 100.
Here given that in the US 47.3% of smart phones sold are made by Apple.
And in one day 20465 phones are sold.
So,
Out of 100 sold smartphones, 47.3 phones are made by Apple.
then out of 1 sold smartphone 47.3/100 phones are made by Apple.
Hence out of 20465 smartphones (10465*(47.3/100)) = 9679.945 phones are made by Apple.
Since number of sold smart phone cannot be in decimal number in real, it always a whole number.
Approximating to the nearest whole number we get out of 20465 sold smart phones in one day, 9679.945 = 9680 smart phones are made by Apple.
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How is the graph of g(x) = (x - 6)³ related to the
graph of f(x) = x³? (0.5 point)
A. The graph of g(x) is a translation of the
graph of f(x) down 6 units.
B.
The graph of g(x) is a translation of the
graph of f(x) right 6 units.
C.
The graph of g(x) is a translation of the
graph of f(x) left 6 units.
Answer:
B. )The graph of g(x) is a translation of the graph of f(x) right 6 units.
Step-by-step explanation:
When a positive number is directly added to an "x" variable (usually inside of parentheses), the graph is shifted to the left that many units.
When a negative number is directly added to an "x" variable, the graph is shifted to the right that many units.
A graph shifts up or down when a positive or negative number is added to the overall function. For example, if the -6 were outside of the parentheses, the graph would be translated 6 units downwards.