Algebra GH = 7y + 3, HI = 3y - 5, and GI = 9y + 7
a. What is the value of y?
b. Find GH, HI, and GI

The measurement of central tendency is a statistical measure that describes the center or average value of a dataset. Common measures of central tendency include the mean, median, and mode.

In this case, if the measurement 240 (the largest measurement in the data set) were replaced by 350, the following measures of central tendency would be affected:

1. Mean: The mean is calculated by summing all the values in the dataset and dividing by the number of values. Since the replacement value (350) is significantly larger than the other values, it would increase the sum and affect the calculation of the mean.

2. Median: The median is the middle value in an ordered dataset. Since the replacement value (350) is larger than the original largest value (240), it would affect the position of the median.

3. Mode: The mode is the value that appears most frequently in a dataset. Since the replacement value (350) is different from all other values, it would not affect the mode if there was no repeated value before the replacement.

Therefore, the measures of central tendency that would be affected by the change are the mean and median. The mode would only be affected if there was a repeated value before the replacement.

Learn more about median here:

brainly.com/question/14532771

#SPJ11

So the marginal cost per mile for a one-day, 200-mile trip is $2/30 = $0.067 or approximately 6.7 cents per mile.

The cost of the car rental for one day is $50. The cost of gasoline for the 200-mile trip can be calculated as follows:

The car gets 30 miles per gallon, so it will use 200/30 = 6.67 gallons of gasoline for the trip.

The cost of 1 gallon of gasoline is $2, so the cost of 6.67 gallons is 6.67 x $2 = $13.34.

Therefore, the total cost of the trip is $50 + $13.34 = $63.34. The marginal cost per mile can be calculated by taking the derivative of the total cost with respect to the distance traveled:

d/dx ($50 + $2/30 x) = $2/30

To learn more about marginal cost  visit:

brainly.com/question/7781429

#SPJ11

Answer:

7017.5

Step-by-step explanation:

The increase is

7000* 2.5%

Change to decimal form

7000 *.025

17.5

Add the increase to the original price

7000+17.5

7017.5

Answer:

Step-by-step explanation:

30 is an opposite angle (2 angles of 30°)

sum of all angles = 360°

360 - 90 -30 - 150 - 30 = 60°

check

60 + 30 + 150 + 30 + 90 = 360°

the answer is good

Answer:

b = 60

Step-by-step explanation:

A straight line is 180 degrees

30+90+b = 180

Combine like terms

120 +b = 180

b =180-120

b = 60

Answer:

a. option is the correct answer

Answer:

1024

Step-by-step explanation:

4x4= 16

8x8= 64

sqrt4 x sqrt8

The square root of 4 is 2.

The square root of 8 is 2.83.

2x2.83=5.66

hope it helps!

Answer:

x = 3 (see below)

Step-by-step explanation:

To solve for x, you need to isolate the variable to one side of the equation. To do that, you need to use reverse operations. For example, the reverse operation of subtraction is addition.

In this case, we have:

15 = 5x

5x is the same thing as 5 (x) or 5 times x. This means the reverse operation is division. So, we need to divide both sides of the equation by 5:

15 = 5x

-----   ----

5       5

--------------

3 = x

x = 3

The scale factor is 2 and center dilation is reduced.

The scale factor is a ratio that describes how much a figure has been enlarged or reduced. It is calculated by dividing the length of the corresponding sides of the original and dilated figures. If the scale factor is greater than 1, then the figure is enlarged, and if it is less than 1, then the figure is reduced.

To find the scale factor in an IXL dilations problem, you need to compare the corresponding sides of the original and dilated figures.

If the original figure has a side length of 4 units, and the dilated figure has a corresponding side length of 8 units, then the scale factor is 8/4=2. This means that the dilated figure is twice as large as the original figure.

The center of dilation is the point about which the figure is enlarged or reduced. It is the fixed point that remains unchanged during the dilation process.

To know more about scale factor here

https://brainly.com/question/30215119

#SPJ4

Answer:

8 cubes

Step-by-step explanation:

1^3=1

(1/2)^3=1/8

1/(1/8)=1*8=8

The value of tan(t−π) is 4/9.

According to the statement

we have given that  tan(t)=4/9 and we have to find the value of tan(t−π).

So,

tan(t−π)  -(1)

take negative sign common from equation (1) it then

tan(t−π) = -tan(-t+π)

and we know that the according to the mathematics formula it become

tan(-t+π) is -tan t

then

tan(t−π) = -(-tan t)

it becomes

tan(t−π) = tan t

then its value becomes

tan(t−π) = tan(t)=4/9.

because we have given that the value of tan t is tan(t)=4/9.

So, The value of tan(t−π) is 4/9.

Learn more about the TRIGONOMETRY here https://brainly.com/question/24349828

#SPJ4

Well, an angle bisector is a ray that "bisects" or cuts an angle in half, so, 64/2 = 32. Based off of my understanding of this picture, I would say that you have to drag the dot from point D to about halfway between each side, or, if it gives you the measurement while your moving it, move it to 32° on each side. If that doesn't work, I would try watching the help video :)

The desired graph of the given statement is attached below.

Imagine two straight lines that represent the wooden roof beams.

They meet at a point, forming a "V" shape. Inside the "V" shape, draw a dot to represent the meeting point of the beams.

A straight line, also known as a line, is a fundamental concept in geometry and algebra. It is defined as a perfectly straight, infinitely long path that extends in both directions.

Now, draw a curved line that starts from one beam, goes through the meeting point, and ends at the other beam, forming an angle of 60°.

The drawn figure is attached below.

Learn more about angles here:

https://brainly.com/question/13045673

#SPJ1

Answer:(3,4)

Step-by-step explanation:

Answer:

Step-by-step explanation:History(H),Economics(E),Literature(L)

1a).To find History(H) only is

H only =H-HE-HL+HEL

H only =60-30-16+10=24

b).E only=50-30-22+10=8

c). L only=48-22-16+10=20

2).no of candidates who sat for the exam is 24+8+20=52

"In an examination of final year students of a school, 60 offered history, 50 offered economics, and 48 literature." The Vein diagram is attached below.

A Venn diagram is a diagram that utilizes circles to demonstrate the similarities and contrasts between two or more items.

Generally, the equation for History students only is mathematically given as

HisO=His-His Eco-His Lie+HisEcoLie

Therefore

HisO=60-30-16+10

HisO=24

EcoO=50-30-22+10

EcoO=8

LieO=48-22-16+10

LieO=20

In conclusion, candidates that sat for at least one subject

At least HEL= 24+8+20

At least HEL=52

Read more about the vein diagram

https://brainly.in/question/24703602

#SPJ6

y(e2) = 4e^2 + (53 - 4e^2)e^(-16e^2), found by integrating the ODE y′ = 16x and using the initial condition y(e) = 53.

What is differential equation ?

A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable.

mu(x) = e^(int 16 dx) = e^(16x^2/2)

multiply both sides of the differential equation by the integrating factor to obtain:

mu(x) * y′ = 16x * mu(x)

Integrating both sides with respect to x, we get:

mu(x) * y = 8x^2 + C

Dividing both sides by the integrating factor, we get:

y = 4x^2 + Ce^(-16x^2/2)

Using the initial condition y(e) = 53, we can find the value of the constant C:

53 = 4e^2 + Ce^(-16e^2/2)

Solving for C, we get:

C = 53 - 4e^2

So the general solution for the differential equation is:

y = 4x^2 + (53 - 4e^2)e^(-16x^2/2)

Finally, to find y(e2), we plug in x = e2 into the general solution:

y(e2) = 4e^2 + (53 - 4e^2)e^(-16e^2)

And that gives us the value of y at x = e2.

y(e2) = 4e^2 + (53 - 4e^2)e^(-16e^2), found by integrating the ODE y′ = 16x and using the initial condition y(e) = 53.

To learn more about differential equation visit : brainly.com/question/14620493

#SPJ4

Answer:

$993.3

Step-by-step explanation:

you just multiply 70×14.19

The distance between the two points is 34 units

Here, we want to find the distance between the two given points

To do this, we are going to use the distance formula

Mathematically, we have this as;

The probability that the mean weight of the sample is less than 6.15 ounces as per the given data is 0.1806.

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.13 ounce

Sample size, n = 38

We are informed that the weight of the cans is distributed in a bell-shaped manner, which is a normal distribution.

Formula:

Z-score = ( x - ц) /standard deviation

Standard error due to sampling

=SD/√n

=0.13/ √(38)

=0.021

P(weight of the sample is less than 6.15 ounces)

P(X < 6.15) =P( Z< (6.15 - 6.16)/0.021 )

= P(Z> -0.476)

=0.1806 ( as per the Z- score table)

The probability that the sample's mean weight is less than 6.15 ounces is 0.1806.

To learn more about probability

https://brainly.com/question/13016713

#SPJ4

Given STUV is a square with SV = 2x + 13 and VU= 8x - 41, find TU.To find the length of TU, we need to know the length of all sides of the square.    

Let the length of STUV be a. Since STUV is a square, all sides of the square are equal. SV = VU (Opposite sides of a square are equal.)SV = 2x + 13 ---------(1)VU = 8x - 41 ---------(2)Equating (1) and (2),2x + 13 = 8x - 41Add 41 to both sides.2x + 13 + 41 = 8x - 41 + 41Collect like terms.2x + 54 = 8xSubtract 2x from both sides.2x - 2x + 54 = 8x - 2x54 = 6x Divide both sides by 6.54/6 = x9 = x. Substituting the value of x in equation (1) and (2), we get,SV = 2x + 13 = 2(9) + 13 = 18 + 13 = 31VU = 8x - 41 = 8(9) - 41 = 72 - 41 = 31Therefore, SV = VU = 31.As STUV is a square, all sides of the square are equal.Thus, length of TU = length of ST = length of UV = length of SV= 31 units. Hence, TU = 31.Hence, the required length is 31.    

Learn more on square here:

brainly.com/question/14198272

#SPJ11

The rule of the compound interest is

A is the new amount

P is the initial amount

r is the rate in decimal

n is the period

t is the time

From the given information

P = 100

r = 12% = 12/100 = 0.12

n = 1 ======= compounded annually

t = 5

Substitute these values in the rule above

A = 176.2341683

The balance after 5 years is $176.23

You should deposit approximately $340.84 monthly to reach $293,000 in 28 years at a 4.4% annual interest rate compounded monthly.

To calculate the monthly deposit required for an investment plan paying 4.4% interest compounded monthly to reach $293,000 in 28 years, we use the future value of an annuity formula:

FV = P * (((1 + r)^n - 1) / r)

Here, FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of payments. First, convert the annual interest rate (4.4%) to a monthly rate by dividing by 12, which gives 0.0367 (4.4%/12) or 0.00367 as a decimal. The number of payments (n) is 28 years * 12 months/year = 336.

We want to find P, so rearrange the formula:

P = FV / (((1 + r)^n - 1) / r)

Substitute the values:

P = $293,000 / (((1 + 0.00367)^336 - 1) / 0.00367)

P ≈ $340.84

To learn more about : deposit

https://brainly.com/question/29053212

#SPJ11

Answer:

=  5 − 101i

Step-by-step explanation:

2i(A ∙ E) − C + G

=

2i(-3 − 4i)(8 − 8i) − (13 + i) + (2 + 12i)

=

2i(-24 + 24i − 32i + 32i2) − (13 + i) + (2 + 12i)

=

2i(-24 − 8i − 32) − (13 + i) + (2 + 12i)

=

2i(-56 − 8i) − (13 + i) + (2 + 12i)

=

(-112i − 16i2) − (13 + i) + (2 + 12i)

=

(16 − 112i) − (13 + i) + (2 + 12i)

=

(16 − 112i) + (-13 − i) + (2 + 12i)

=

(16 − 13 + 2) + (-112i − i + 12i)

=

(16 − 13 + 2) + (-112 − 1 + 12)i

=  5 − 101i

Answer:

The answer is 21

Step-by-step explanation:

Answer:

g(5) = 15

Step-by-step explanation:

g(5) - This means you substitute the number 5 into the variable a.

So: g(5) = 5 + 10

g(5) = 15

AA±B the role of girl in the role of girl in the role ofof girl in the role of

A linear function in slope intercept form is

y = mx + c

To find the equation, you need m and c. This can be found by substituting the points you have.

For example, 5 = -1(m) + c and -7 = 2(m) + c

From here, do simultaneous equations

c = m + 5

-7 = 2(m) + m + 5

3m = -7 -5

m = -4

c = m + 5

c = 1

Rewrite the equation: (This is your answer)

y = -4x + 1

Answer:

y = 130 + 75x

My answer is based on the understanding that y is the charge for the service call, x is the number of hours spent on the service call and 130 is the base charge for the service.

Therefore, the 130 dollars is the baseline cost, as it is the charge even if 0 hours are spent. The extra 75 dollars per hour is the additional charge that has to be paid for every each hour that is spent on the job.

Therefore, the equation should be y = 130 + 75x.