The length and breadth expressions where one dimension is the GCF are; 7y and (2y²-5).
Area of a Rectangle
Given that a rectangle is a two-dimensional shape with one of the dimensions being the GCF, as specified in the question;
Consequently, the length and breadth expressions are 7y and (2y²-5) respectively.
Additionally, the rectangle's area when y=2 is; 14(2³) - 35(2) = 52.
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Can someone please solve this for me show work please tysm
Answer:
No
Step-by-step explanation:
A right angle triangle will have a 90° angle. If you don't know what that looks like. Check the rectangle above triangle C. All of the angles in it are 90°.
Bonus:
If you wanted check the length is of the third side of triangle c. It is 17 in, this is because you look at the top of the rectangle and the top of the triangle and they are both the same length.
Answer:
I feel like it is it depends on the way you are leaning and if these sides are rounded or not
If they are rounded then yes this is a right triangle is not then no but it is close
Step-by-step explanation:
it might just be if the third side is rounded
We find out using the Pythagorean theorem
12^2+12^2=c^2
144+144
288=c^2
Square root both sides
16.97=c
Hopes this helps please mark brainliest
Question content area top Part 1 What is the constant of proportionality in the equation y=−7.48x?
The constant of proportionality of the equation y =−7.48x is - 7.48.
What is proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent
In other words, two variables have a proportional relationship if the ratios of the variables are equivalent.
Therefore, a proportional relationship is one in which two quantities vary directly with each other.
Hence, in mathematical form,
y ∝ x
y = kx
where
k = constant of proportionalityy varies directly as the variable x.
In the equation,
k = - 7.48
Therefore, the constant of proportionality is - 7.48.
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2x + 4y = 4
number of solution
Given equation 2x + 4y = 4 has infinitely many solutions.
We have been given an equation 2x + 4y = 4
We need to find the number of solutions.
Above equation is a linear equation with two variables.
We know that, a linear equation in two variables has infinitely many solutions.
For any value real value of x we can find corresponding value of y.
Since x can takes infinitely many inputs the output would be infinitely many.
Therefore, given equation 2x + 4y = 4 has infinitely many solutions.
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Find the value of x.
36
x+3
x=?
Answer:
x = 15
Step-by-step explanation:
A segment joining the midpoints of two sides of a triangle is half the length of the third side , then
x + 3 = [tex]\frac{1}{2}[/tex] × 36 = 18 ( subtract 3 from both sides )
x = 15
a.) find the test statistic
b.) what is the p-value
c.)what is the conclusion about the null hypothesis
d.) what is the final conclusion?
Regarding the hypothesis tested in this problem, it is found that:
a) The test statistic is: t = 0.49.
b) The p-value is: 0.6297..
c) The null hypothesis is not rejected, as the p-value is greater than the significance level.
d) It appears that the students are legitimately good at estimating one minute, as the sample does not give enough evidence to reject the null hypothesis.
What is the test statistic?The test statistic of the t-distribution is given by the equation presented as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which the variables of the equation are given as follows:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the hypotheses.s is the standard deviation of the sample.n is the sample size.The value tested at the hypothesis is:
[tex]\mu = 60[/tex]
From the sample, using a calculator, the other parameters are given as follows:
[tex]\overline{x} = 62.47, s = 19.2, n = 15[/tex]
Hence the test statistic is obtained as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{62.47 - 60}{\frac{19.2}{\sqrt{15}}}[/tex]
t = 0.49.
What are the p-value and the conclusion?The p-value is obtained using a t-distribution calculator, with a two-tailed test, as we are testing if the mean is different a value, in this case 60, with:
15 - 1 = 14 df, as the number of degrees of freedom is one less than the sample size.t = 0.49, as obtained above.Hence the p-value is of 0.6297.
Since the p-value is greater than the significance level of 0.01, the null hypothesis is not rejected, attesting to the ability of the students to estimate one minute.
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NEED HELP ASAP WILL GIVE BRAINLIEST!
3Fill blanks
1. _ 2. _<6ab+3b/3a+1<_
Answer:
Step-by-step explanation:
A study of bone density on 5 random women at a hospital produced the following results.
Age 41, 53, 57, 61, 65.
Bone density: 360, 355, 340, 325, 310
Calculate the correlation coefficient, r. Round your answer to three decimal places.
The correlation coefficient when there is a study of bone density on 5 random women is -0.909.
What is the correlation coefficient?It is the statistical measure of the strength of the linear relationship that's between two variables. The correlation coefficient is calculated by calculating the covariance of the variables and dividing that number by the product of the standard deviations of those variables.
The steps for calculating the correlation coefficient are as follows:
Choose your data sets.Determine the standardized value for your x variables.Determine the standardized value for your y variables.Find the sum by multiplying.Determine the correlation coefficient by dividing the total.The statistical software was used and the values include
Dependent variable = y
Independent variable = x
It should be noted that linear regression has an equation that is in the form of Y = a + bx. The equation is y = 451.674 - 2.051. This was gotten through the statistical software used.
Sample size = 5
Correlation coefficient = -9.09
In conclusion, the coefficient is -9.09.
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Two mechanics worked on a car. The first mechanic charged $85 per hour, and the second mechanic charged $45 per hour. The
mechanics worked for a combined total of 15 hours, and together they charged a total of $1075. How long did each mechanic work?
The first mechanic worked for 10 hours and second mechanic worked for 5 hours.
Given,
Price of first mechanic service =$85/hr
Price of second mechanic service=$45/hr
Total time they worked together=15 hours
Total combined price charged=$1075
Let
Time spend by first mechanic on work =x
Time spend by second mechanic on work =y
Price charged by first mechanic on total work =85x
Price charged by second mechanic on total work=45y
Equation for total time spend by them together on work can be written as,
[tex]x+y=15.....i\\\\y=15-x[/tex]
Equation for total price charged by them can be written as,
[tex]85x+45y=1075\\[/tex]
Substituting y,
[tex]85x+45(15-x)=1075\\\\85x+675-45x=1075\\\\40x+675=1075\\\\40x=1075-675\\\\40x=400\\\\x=10\\[/tex]
Substituting x in eq.[tex]i[/tex],
[tex]10+y=15\\\\y=15-10\\\\y=5[/tex]
Hence, the first mechanic worked for 10 hours and second mechanic worked for 5 hours.
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Urgent .. Suppose that a national testing service gives a test in which the results are
normally distributed with a mean of 550 and standard deviation of 85. If you score a
625 on the test, what fraction of the students taking the test exceeded your score?
The fraction of the students taking the test exceeded your score will be 47 / 250.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
Assume that a public testing administration gives a test in which the outcomes are regularly dispersed with a mean of 550 and a standard deviation of 85. On the off chance that you score a 625 on the test.
Then the fraction of the students taking the test exceeded your score will be given as,
z = (625 - 550) / 85
z = 75 / 85
z = 0.8824
Then the fraction is given as,
P(x > 625) = P(z > 0.8824)
P(x > 625) = 0.188
P(x > 625) = 47 / 250
The fraction of the students taking the test exceeded your score will be 47 / 250.
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Line b passes through the point (4, 2) and is
perpendicular
to the x-axis. What is the slope of line b?
Answer:
The slope would be undefined
Step-by-step explanation:
If the slope is perpendicular to the x-axis that means it is vertical, all vertical lines have undefined slopes therefore the slope is undefined.
which of the following is a polynomial 5x^2+3
The correct option regarding which option represents a polynomial is given as follows:
b. ii only.
What are polynomials?Polynomials are expressions that are given in the following format:
[tex]p(x) = a_nx^n + a_{n-1}x^{n - 1} + \cdots + a_1x + a_0[/tex]
In which n is the degree of the polynomial.
The exponents n have to be all whole numbers for the expression to represent a polynomial, meaning that they cannot be negative neither fractions or decimal values.
Thus the only expression that represents a polynomial is:
ii. 5x³ + 3x² + x + 2.
The reasons for the expressions that do not represent a polynomial are given as follows:
Expression i: Negative exponents.Exponent iii: Fractional exponents, due to the root.Hence the correct option is given by option b.
Missing InformationThe problem is given by the image at the end of the answer.
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the graph of f(x)=x^3+3x^2-4 is shown. what is the value of f^-1(-4)
Since the function is not one-to-one, the inverse function of f(x) = x³ + 3x² - 4 is not defined at x = -4.
How to obtain the numeric value of the inverse function?An original function is composed by a set of points in the following format:
(x,y).
On the graph of the function, we have that:
The x-coordinate represents the input of the function, being the horizontal axis of the graph.The y-coordinate represents the output of the function, being the vertical axis of the graph.On the inverse function, the input and the output are exchanged, hence the format of the point is:
(y,x).
To find the numeric value of the inverse function at x = -4, we need to identify the value of x on the original function where y = -4.
However, looking at the graph of the function given at the end of the answer, the function is not one-to-one at y = -4, since f(-3) = f(0) = 4, thus the inverse function is not defined at x = -4.
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2x+18=4x-14 pls help me - johnny
Answer: x=16
Step-by-step explanation: 18=2x-14
32=2x
x= 16
Craig mows two lawns. The first lawn is 40 meters long and 20 meters wide. The second lawn has the same length, and a width that is 4 times as much as the first one. What is the total area of the two lawns??
The area of two lawns will be 4000 square meters.
According to the question,
We have the following information:
Craig mows two lawns. The first lawn is 40 meters long and 20 meters wide. The second lawn has the same length, and a width that is 4 times as much as the first one.
So, the width of the second lawn = 4*20
Width of second lawn = 80 m
Now, formula to find area of rectangle:
Length*width
Area of first lawn:
40*20
800 square meters
Area of second lawn:
40*80
3200 square meters
Now, the area of two lawns = area of first lawn+ area of second lawn
Area = 800+3200
Area = 4000 square meters
Hence, the total area of two lawns is 4000 square meters.
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Josh loves to visit his aunt's house. When there, his two favorite activities are walking the dog and playing darts. Let A represent the event that he walks his dog at his aunt's house and B represent the event that he plays darts at his aunt's house. If A and B are independent events with P(A)=0.9 and P(B)=0.4, find P(A AND B).
The probability of P(A AND B) when Josh visit his aunt's house is 0.36.
What is probability?Probability is the likelihood that an event will occur or take place.
Let A = the event that he walks his dog at his aunt's house
Let B = the event that he plays darts at his aunt's house.
When A and B are independent events with P(A)=0.9 and P(B)=0.4, the probability of P(A AND B) will be:
= P(A) × P(B)
= 0.9 × 0.4
= 0.36
The probability is 0.36.
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Evaluate the expression when = =− 5 5 , and . 8 3 x y 10. x + y 11. y x − 12. − + 2x y 13. 3x + y
The numeric value of the expression -b + 8x when b = 5 and x = -6 is given as follows:
-53.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable/variables in the function or in the expression by the value/values at which we want to find the numeric value.
In this problem, the expression is given as follows:
-b + 8x.
The values at which the numeric value is to be found are:
b = 5, x = -6.
Hence:
The lone instance of b is replaced by 5.The lone instance of x is replaced by -6.Thus the numeric value of the expression is obtained as follows:
-5 + 8(-6) = -5 - 48 = -53.
Missing InformationThe problem is given by the image at the end of the answer.
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The blood types of 200 people are collected at a doctor’s office. The table shows the breakdown of patients by blood type.
If a person from this group is selected at random, what is the probability that this person has type AB blood? Express your answer as a fraction in lowest terms or as a decimal rounded to the nearest millionth (if necessary).
Blood Type Survey Results
Blood Type Number of Patients
A 45
B 65
O 75
AB 15
Answer:
[tex]\frac{3}{40}=0.075[/tex]
Step-by-step explanation:
The probability of a person selected at random from this group having type AB blood is 15 out of 200 total people. Therefore:
[tex]\frac{15}{200}=\frac{3}{40}=0.075=7.5\%[/tex]
on a standardized exam the scores are normally distributed with a mean of 70 and a standard deviation of 20. find the z of a person who scored 128 on the exam
The z-score of a person who scored 128 on the exam is equal to 2.9
What is a z-score?A z-score is also referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:
[tex]z=\frac{x\;-\;u}{\sigma}[/tex]
Where:
x represents the sample score.u represents the mean score.σ represents the standard deviation.Substituting the given parameters into the formula, we have;
Z-score, z = (128 - 70)/(20)
Z-score, z = 58/20
Z-score, z = 2.9
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The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P. Suppose that V = 70 cm^3 when T = 420 kelvin and P = 18 kg/cm^2. Find the pressure when T = 140 kelvin and V = 60 cm^3.
The pressure of the gas is 7kg/cm^2.
How to determine the pressure of the gas?Joint Variation is a situation in which the value of one variable depends on two, or more, other variables when the other variables are held constant
Given that: The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P. This can be written as:
VαT and Vα 1/P
Combining the two relations gives:
Thus Vα T/P
V = kT/P (where k is a constant)
PV=kT
k = PV/T
P =kT/V
Given: V = 70 cm^3
when T = 420 kelvin
P = 18 kg/cm^2
k = 18×70 / 420
k = 1260/420
k = 3
Given: T = 140 kelvin and
V = 60 cm^3.
Find the pressure
P = kT/V
P = 3×140/60
= 420/60
= 7kg/cm^2
Therefore, the pressure when T = 140 kelvin and V = 60 cm^3 is 7kg/cm^2.
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f(x) = x^2+11x^2-15x-27 how to find the possibles
The solution for the function f(x) is x = 9/4 or -1.
What is function?Function is a combination of different types of variable and constants.
A function is denoted by f(x).
The given function is,
f(x) = x²+11x²-15x-27
⇒f(x) = 12x²-15x-27
To find solution of this function, find factor,
f(x) = 12x²-27x+12x-27
f(x) = 3x(4x-9) + 3(4x-9)
f(x) = (4x-9)(3x+3)
To find solutions substitute f(x)=0,
⇒(4x-9)(3x+3) =0
x=9/4 or -1
So the possible value of x is 9/4 or -1.
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Please Help 25 points
A website got 4 × 10^9 views on Saturday and 8 × 10^6 views on Sunday. How many times more views were on Saturday than Sunday?
There were 500 times more views were on Saturday than Sunday
In this question, we have been given a website got 4 × 10^9 views on Saturday and 8 × 10^6 views on Sunday.
We need to find the number of times more views were on Saturday than Sunday.
We need to divide 4 × 10^9 by 8 × 10^6
( 4 × 10^9) / (8 × 10^6)
= (4/8) * 10^(9 - 6) ..............(rule of exponents)
= 0.5 * 10^3
= 500
Therefore, there were 500 times more views were on Saturday than Sunday.
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Convert 2 7/12 to a percent. Round to the nearest tenth of a percent.
Answer:
2.6
Step-by-step explanation:
2 7/12
12x2=24
24+7=31
31/12=2.583333
Answer:
its 262.5%
Step-by-step explanation:
What is the solution to the equation 1/3x + 2/9x =10
The solution to x in the equation is 1/3x + 2/9x =10 is 18
To solve for x we follow the step;
Step 1: Combine the equation multiple into single fraction
1/3x + 2/9x =10
[tex]\frac{x}{3}[/tex] +[tex]\frac{2x}{9}[/tex] =10
Step 2: Find the common denominator
[tex]\frac{3x}{9}[/tex] + [tex]\frac{2x}{9}[/tex] =10
Step 3: Add the fraction with common denominator
[tex]\frac{3x +2x}{9}[/tex]= 10
[tex]\frac{5x}{9}[/tex] =10
Step 4: Cross multiply
5x = 9(10)
5x = 90
Step 4: Divide both 5
[tex]\frac{5x}{5}[/tex] =[tex]\frac{90}{5}[/tex]
x= 18
Therefore, the solution for x in the equation is 18
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i need the answers for the problems
Answer:
I believe the first one is log8(5/3), the second is log5(3), and the third is -2log2(5)
Step-by-step explanation:
I got this by applying the properties of logarithms which are:
logₐ mn = logₐ m + logₐ n (product property)
logₐ m/n = logₐ m - logₐ n (quotient property)
logₐ mn = n logₐ m (power property)
logb = (log꜀ a) / (log꜀ b) (change of base property)
What is 804082 written in expanded form
Answer:
Step-by-step explanation:
(8 x 100000) + (0 x 10000) + (4 x 1000) + (0 x 100) + (8 x 10) + (2 x 1) = 804082
I know this is easy for some, but I have no idea what happened here. Can someone explain to me? These are congruent triangles.
8x -13 = 5x + 17
3x = 30
x = 10
The x value we get is 10 when the sides are 8x-13 and 5x+17 in a congruent triangle.
Given that,
The sides as 8x-13 and 5x+17
We have to find the x value.
If two or more triangles are congruent, it depends on how big their sides and angles are. The three sides and three angles of a triangle determine its size and shape, accordingly. Two triangles are said to be congruent if the pairings of respective sides and corresponding angles are equal.
We say now,
8x-13 = 5x+17
8x-5x=17+13
3x=30
x=30/3
x=10
Therefore, The x value we get is 10 when the sides are 8x-13 and 5x+17 in a congruent triangle.
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A denim shirt at a certain factory requires 2 1/5 yards of material. How many shirts can be made from 70 2/5 yards of material?
Answer: 32
Step-by-step explanation:
If you multiply 2 1/5 by 35 you would get 70.4, .4 is equivalent to 2/5, so 70.4 = 70 2/5.
56% of the students at a collage are from in-state. aIf 4,620 students are from instate how many students attend the collage
A total of 2587 students attended the collage
How to determine the number of students in the college?From the question, the given parameters are:
Proportion of students = 56% are at the collage Total number of students = 4628The above parameters implies that
Number of students that attended = 56% x Total number of students
Represent the total number of students with x
So, we have the following representation
Number of students that attended = 56% * x
Where
x = 4620
So, we have
Number of students that attended = 56% x 4620
Evaluate the products
Number of students that attended = 2587.2
Approximate
Number of students that attended = 2587
Hence, 2587 of the students attended the collage
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Write a coordinate rule for the composition 
Answer:
so basically u do that and then u do that and then
Step-by-step explanation:
8