Answer:
Area = Width (height)
192 = 12(height)
height = 16
The canvas is 16 inches tall.
Let me know if this helps!
Answer:
16
Step-by-step explanation:
area=length × width
192=12× length
192÷12=16
need a lil help please
Answer:
B(2, 4)Step-by-step explanation:
Given points:
A(-1, -9) and M(0.5, -2.5)Let the coordinates of B are (x, y)
Use midpoint formula to determine the point B:
0.5 = (- 1 + x)/2 ⇒ 1 = -1 + x ⇒ x = 1 + 1 = 2-2.5 = (-9 + y)/2 ⇒ -5 = -9 + y ⇒ y = -5 + 9 = 49x+12y=-108 Please solve this, but it cannot be in fraction form!!!
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
An ecologist studying differences in populations of a certain species of lizards on two different islands collects lizards in live traps, weighs them, and then releases them again. (She marks them so she won’t weigh the same lizard twice). During one study period, she collects the data below. All weights are in grams. Is there convincing evidence of a difference in the mean weights of the lizards on the two different islands? Use α = 0.05.
Sample Size Mean (gm) Standard Deviation (gm)
Bear Island 34 43.5 5.33
Goat Island 40 45.9 6.21
Answer:
The correct solution is "\(t=\frac{43.5-45.9}{\sqrt{\frac{5.33^2}{34} +\frac{6.21^2}{40} } }\)".
Step-by-step explanation:
The given values are:
Bear island:
n1 = 34
\(\bar{x_1}\) = 43.5
S₁ = 5.33
Goat island:
n2 = 40
\(\bar{x_2}\) = 45.9
S₂ = 6.21
Now,
⇒ \(t=\frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} } }\)
On substituting the given values, we get
⇒ \(t=\frac{43.5-45.9}{\sqrt{\frac{5.33^2}{34} +\frac{6.21^2}{40} } }\)
What is the value of A when we rewrite 6^x as A^x/4
The value of A when we rewrite 6^x as A^x/4 is 3/2
What is an algebraic expression?An algebraic expression can simply be defined as a mathematical expression that consists of terms, factors, constants, coefficients and variables.
They are also known as expressions made up of arithmetic operations, such as;
AdditionBracketParenthesesDivisionMultiplicationSubtractionFrom the information given, we have that;
The function is given as;
6^x
Here, the coefficient or rather the base is 6
To determine the value of A when ^^x is given as A^x/4
The value of A would be;
6/4 = 3/2
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What is the area of this figure?
Answer:
342 sq miles
Step-by-step explanation:
separated figure into 4 vertical pieces with the following dimensions:
5x31 rectangle: A = 155
4x13 rectangle: A = 52
3x13 rectangle: A = 39
trapezoid (h = 8; bases of 11 and 13): A = 96
Can someone please answer and provide an explanation for these problems?
Step-by-step explanation:
The way you can think about volume is that we have some cross sectional area times the height of the solid.
27.
The volume of a square based pyramid is
\(v = {s}^{2} ( \frac{h}{3} )\)
where h is the height of the pyramid
s is the side length of the square base.
S=7
h=12
\(v = {7}^{2} ( \frac{12}{3} ) = 49 \times 4 = 196\)
28. The volume of a rectangular prism
\(v = l \times w \times h\)
where l is length
w is width
h is height
\(v = 11 \times 11 \times 8 = 968\)
29.
Use the same formula in 27
\(v = 100(3) = 300\)
30.
Volume of a Cylinder is
\(v = \pi {r}^{2} h\)
where r is the radius of the circle
where h is the height
r is half of the diameter
The diameter is 22, thus the radius is 11.
\(v = {11}^{2} (8)(\pi)\)
\(v = 968\pi\)
pi is approximately 3.14
\(v = 3041.06\)
31. Volume of A Sphere
\( \frac{4}{3} \pi {r}^{3} = v\)
The radius is half of diamter, thus r=7
\( \frac{4}{3} \pi( {7}^{3} ) = 1436.76\)
Need help ()()()()()((;(;
Answer:
20%
Step-by-step explanation:
4/20 = x/100
100*4 =400
400/20 = 20
so
4/20 = 20/100
help needed. due today TT
There is a linear relationship between the number of people in a group and the cost to enter a museum. The museum charges $20 for two people and $28 for three people.
Part C: Using your work from Part A, complete this prompt: How many people can enter the museum for $100?
Answer:
11 people could enter for $100
Step-by-step explanation:
According to the information given:
$28=3 people
$20=2 people
so it goes up by 8 dollars for every person added
20-8= 16, the original fee, meaning the sequence formula would be:
8n+8 (n being the number of people)
if 8n+8=100
8n=92
n=11.5 rounded down would be 11
2(4)+ 4(1)= 12
Solution
f(x)=2x^2+x-4
find (-10)
Answer:
F(-10)=186
Step-by-step explanation:
F(-10)=2(-10)^2+(-10)-4
F(-10)=2*100+(-14)
F(-10)=200-14
Therefore, F(-10)=186
Answer:
The answer is 186
Step-by-step explanation:
This table shows the number of students at a school in the years 2014-2016, 2014 1,030 students 2015 ? students 2016 1,300 students.In 2015, there were more students than in 2014 but fewer than in 2016. Which could be the number in 2015?
Answer:
it could be the number in 2015 is 2,330
Step-by-step explanation:
Just add the number of the students in 2014-2016.
1,030+ 1,300=2,330
the distance between -2.2 and 8.4 on a number line
Answer:
The distance between the two numbers, -2.2 and 8.4 on a number line is:10.6 units.Distance of two numbers on a number line can be calculated by finding the absolute value of the their difference.Thus:if a and b are two numbers on a number line, their distance would be:|a - b| Given two numbers on a number line are:-2.28.4Distance between them = |-2.2 - 8.4| = 10.6 unitsTherefore, the distance between the two numbers, -2.2 and 8.4 on a number line is: 10.6 units.
Step-by-step explanation:
Solve for r.
2.5(r − 4.4) + –3.54 = 6.46
Answer and Step-by-step explanation:
To solve for r,
You must take all the values away from r to the other side of the equal sign. We do this using our operations: Addition, Subtraction, Multiplication, and Division.
First, we see that -3.54 isn't connected to r directly, so we can add that to both sides of the equation to get rid of -3.54 on the left side of the equation.
2.5(r - 4.4) + -3.54 + 3.54 = 6.46 + 3.54
2.5(r - 4.4) = 10
Next, we see that 2.5 is multiplying the expression (r - 4.4). We would need to divide both sides of the equation by 2.5.
\(\frac{2.5(r - 4.4)}{2.5} =\frac{10}{2.5}\)
r - 4.4 = 4
Finally, we must add 4.4 from both sides to get r by itself.
r - 4.4 + 4.4 = 4 + 4.4
r = 8.4
The answer is 8.4
I hope this helps!
#teamtrees #PAW (Plant And Water)
Translate the verbal phrase into an algebraic expression.The sum of a number m and 9
The sum of a number m and 9 is the same as:
m + 9
A sample of gas has a pressure of 24 atm at 100L. Determine the pressure if volume is 400L.
6 atm
0.6 atm
60 atm
600 atm
Answer:
Step-by-step explanation:
just took the quiz and the correct answer is .6 atm
Answer:
The answer is 6atm
Step-by-step explanation:
if you simplify 24/100, you get 6/25. I'm not completely sure how to get the answer correctly but i did it this way and it showed it was correct so mission accomplished :)
9×2=2×9 what is the property of this problem?
The property involved is called "commutative property of product"
SInce we are flipping the oerder of the factors and arrive at the same result.
The "flipping is called "commuting" in Math terms.
The diagram shows the sports played by 80 students. If a student is picked at random, what is the probability that they play all three sports?
31/80
67/80
45/80
62/80
Answer:
31/80 because 31 out of the 80 students play all 3 sports
The probability that they play all three sports is 31/80 if the total number of students is 80 option first is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Total number of players = 80
Number of players that they play all three sports = 31 (from the Venn diagram)
Probability that they play all three sports = 31/80
Thus, the probability that they play all three sports is 31/80 if the total number of students is 80 option first is correct.
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Help for Pre Calc please
The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:
\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.
How to obtain the inverse function?The function in this problem is defined as follows:
f(x) = 4x^4.
To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:
x = 4y^4.
Isolating the variable y, we have that:
y^4 = (x/4).
The inverse operation of the fourth power is the fourth root, hence:
\(y = \pm \sqrt[4]{\frac{x}{4}}\)
\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)
\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)
The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.
This means that the second statement is correct.
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Joe reads 24 chapters of a book in 8 hours. What is his rate chapters per hour?
24 chapters in 8 hours = 3 chapters per hour
24 : 8 = 3
Answer:
3
Step-by-step explanation:
The rate formula is to divide the length by the time.
In this, 24 chapters is the length and 8 hours is the time.
Divide:
24/8 = 3
So, the speed is 3 chapters per hour
Hope this helped.
Write a quadratic function f whose zeros are 6 and -5 .
Answer:
so ez
Step-by-step explanation:
HI IM INDIAN AND STUDING IN 10TH GRADE U?
Julián gasta 2/5 de sus ahorros en el viaje “fin de curso” y el 25% de ellos en unos patines.
a) Si los ahorros de Julián son 140 € ¿cuánto gasta en el viaje “fin de curso”?
b) ¿Y cuánto le cuestan los patines?
c) ¿Cuántos euros le quedan a Julián?
The Julián has 0.84 euros left after making these purchases.
Given that Julián spends 2/5 of his savings on a school trip, and 25% of his savings on skates. The question is asking us to find out how much the skates cost and how much money he has left after making these purchases. Let's solve this problem step-by-step.
Part (a) is already solved as we know that Julián spends 2/5 of his savings on a school trip and 25% of his savings on skates.
Part (b) To determine how much the skates cost, we need to first find out what percentage of his savings he spent on skates. Since he already spent 2/5 of his savings, that means he has 3/5 left.
And since he spent 25% of his total savings on skates, we can set up an equation as follows:
0.25(x) = 3/5where x is his total savings.
Cross-multiplying: 0.25(x) * 5 = 3x1.25x = 3x = 3/1.25x ≈ 2.4So, his total savings would be around 2.4 euros.
Therefore, the cost of the skates is 0.25(2.4) = 0.6 euros.Part (c) To find out how much money he has left, we subtract the cost of the school trip and the skates from his total savings:
Total savings - School trip - Skates
= Money left2.4 - (2/5)(2.4) - 0.6
= Money left2.4 - 0.96 - 0.6
= Money left0.84 euros
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The lengths of the two sides of a right triangle containing the right angle differ by 2 cm. If the area of the triangle is 24cm 2
, find the perimeter of the triangle.
The perimeter of the triangle is 28 cm. The perimeter of the triangle containing the right angle with two sides that differ by 2 cm is 28 cm. This can be determined by using the Pythagorean Theorem to solve for the length of the sides.
Let the two sides of the right triangle be x and x+2
Apply the Pythagorean Theorem:
(x)^2 + (x + 2)^2 = 24
x^2 + x^2 + 4x + 4 = 24
2x^2 + 4x = 20
2x(x + 2) = 20
x(x + 2) = 10
x = 5 and x + 2 = 7
Therefore the perimeter of the triangle is 5 + 7 + 7 = 19 cm.
The perimeter of the triangle is 28 cm.
The perimeter of the triangle containing the right angle with two sides that differ by 2 cm is 28 cm. This can be determined by using the Pythagorean Theorem to solve for the b of the sides. The equation 2x(x + 2) = 20 can be used to solve for x, which is equal to 5. Therefore, the two sides of the triangle are 5 cm and 7 cm. Adding these lengths together, the perimeter of the triangle is 5 + 7 + 7 = 28 cm.
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If a perpetuity pays a cash flow (C) every time period, forever, how come it is not worth an
infinite amount of money right now? Explain.
Mrs. Grubbs has the option of eating a cookie with the diameter of 14 cm or 4 smaller cookies with a diameter of 5
cm. Which option would give Mrs. Grubbs more cookie to eat?
Mrs. Grubbs would get more cookie to eat by choosing the 4 smaller cookies with diameter 5 cm each rather than the single cookie with diameter 14 cm.
To compare the amount of cookie Mrs. Grubbs would get by eating a single cookie with diameter 14 cm and 4 smaller cookies with diameter 5 cm each, we need to consider the total area of the cookies.
The area of a cookie with diameter 14 cm can be calculated as follows:
A = πr^2 = π(7 cm)^2 = 49π cm^2
where r is the radius of the cookie.
On the other hand, the area of a single small cookie can be calculated as follows:
A1 = \(πr^2\) = \(π(2.5 cm)^2\)= \(6.25π cm^2\)
where r is the radius of the small cookie.
Therefore, the total area of 4 small cookies is:
A2 = 4A1 = \(4(6.25π cm^2)\) = \(25π cm^2\)
Comparing the two options, we see that the total area of the 4 small cookies is greater than the area of the single large cookie:
A2 > A
\(25π cm^2 > 49π cm^2\)
It's worth noting that this comparison assumes that the thickness or volume of the cookies is the same for both options. If the cookies have different thicknesses, then the comparison would need to take into account the volume of the cookies instead of just the area.
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Jerry walked a dog from 6:40 a.m. to 7:30 a.m. one day. If he was paid at the rate of $6 per hour, how much did he cam that day?
Shelly found that the coefficient of determination between the age of a runner x and the runner’s finishing position y was about 0.728. What can she conclude?
72.8% of the variation in the runner’s finishing position is explained by the runner’s age.
0.728% of the variation in the runner’s finishing position is explained by the runner’s age.
53% of the variation in the runner’s finishing position is explained by the runner’s age.
0.728 more variation in the runner’s finishing position is caused by the runner’s age.
Answer:
72.8% of the variation in and the runner’s finishing position is explained by the runner’s ageStep-by-step explanation:
The number 0.728 is converted to percentage
0.728*100% = 72.8%Correct option is the first one
Answer:
72.8% of the variations in the runner's finihsing position is explained by the runner's age
explanation:
The surface area of the United States is 3.797 million square miles. The state of Alaska, our largest state in terms of area, occupies 655,400 square miles. Using ratios, determine what percentage of the surface area of the United States is occupied by Alaska, rounded to the nearest whole number.
Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%
We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%
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Hypothesis Test for Two Populations including:t-Test for μ1-μ1t-Test for μdF-Test forWe are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 21 days of sales at Store A and a sample of 16 days of sales at Store B indicated the followingStore A Store BnA=21 nB=16SA=28.284 SB=20Which of the following is critical values of F at 95% confidence?A. a and dB. 2.57C. 0.3891D. 0.3623E. 2.76
Answer:
The critical values of F at 95% confidence are 0.359 and 2.788.
Step-by-step explanation:
We are given that a sample of 21 days of sales at Store A and a sample of 16 days of sales at Store B indicated the following:
Store A Store B
nA = 21 nB = 16
SA = 28.284 SB = 20
And we are interested in determining whether or not the variances of the sales at two small grocery stores are equal.
AS we know that when we are interested in variances of two samples, we use F-test for doing hypothesis testing.
The test statistics for F-test is = \(\frac{S_A^{2} }{S_B^{2} } \times \frac{\sigma_B^{2} }{\sigma_A^{2} }\) ~ \(F__n_A_-_1,_ n_B_-_1\)
where, \(S_A\) and \(S_B\) are sample standard deviations.
Now, the critical values of F at 2.5% (because two-tailed test) level of significance from F-table at degrees of freedom (21 - 1, 16 - 1) = (20, 15) are given as;
2.788 for right-part and 0.359 for the left-part.
Use the graph to answer the question. The cost of mailing a package from the United States to Western Europe is a function of its weight as shown in the graph Describe the continuity of this cost function.
Cost function is Discontinuous.
Since, The shown graph of cost function is function of greatest integer function and greatest integer function continuous from the left and from the right discontinuous at integer. Hence, the greatest integer function is discontinuous at all integers.
So, cost function is Discontinuous.
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Answer: Continuous and Discontinuous Functions Practice
1. the function is continuous (looks like a v graph)
2. 3rd graph (u-graph going down)
3. the function has a nonremovable jump discontinuity (this question)
Step-by-step explanation:
100
To begin a bacteria study, a petri dish had
2700
bacteria cells. Each hour since, the number of cells has increased by
17%
.
Let
t
be the number of hours since the start of the study. Let
y
be the number of bacteria cells.
Write an exponential function showing the relationship between
y
and
t
The exponential equation is y = 2700 ( 1 + 0.17 )ⁿ , where n = t , the number of hours since the start of the study
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the exponential equation be represented as y
Now , the number of bacteria cells = y
The number of hours since the start of the study = n = t
The initial number of bacteria = 2,700 cells
The percentage of increase in the cells = 17 %
So , The exponential growth formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
Substituting the values in the equation , we get
y = 2700 ( 1 + 0.17 )ⁿ
On simplifying the equation , we get
y = 2700 ( 1.17 )ⁿ
where n = t , the number of hours since the start of the study
Hence , the equation is y = 2700 ( 1.17 )ⁿ
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