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Line segment GH has endpoint G(10,11) and H(−2, −7).



Part A: The point Z lies on segment GH and is located at (6, 5). What is the ratio of GZ: ZH?



Part B: Find the coordinates of Q such that HQ: GH = 1: 6.

The maximum number of sales will be equal to 37.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Given function is:-

The maximum value of d = 3

s(d)  =  d³   +  10

s(d)  = (3)³  +  10

s(d)  = 27  +   10

s(d)  =  37

Therefore the maximum number of sales will be equal to 37.

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Answer:

0.97

Step-by-step explanation:

To convert a fraction to a decimal, divide the numerator by the denomiator.

29 ÷ 30 = 0.966666667

= 0.97 (rounded)

hope this helps!

Answer:

1-2*sin^2 (x) = 2cos^2(x) -1

Step-by-step explanation:

1-2sin^2(x)

= 1-2(1-cos^2(x)) =2cos^2(x)-1; Pythagorean identity, sin^2(x)=1-cos^2(x)

=1-2+2cos^2(x)=2cos^2(x)-1; distribute

= -1+2cos^2(x)=2cos^2(x) -1; collect and rearrange terms

= 2cos^2(x)-1 = 2cos^2(x)-1

Answer:

12:28

Step-by-step explanation:

yesterday the ratio would be 6:14 so then you double that to get 12:28

The value of y in y = 5x if the value of x doubles itself is y also doubles itself; option A

y = 5x

if x = 2

y = 5(2)

y = 10

if the value of x doubles, for instance, if x = 4

y = 5(4)

y = 20

y = 5/x

if x = 0.5

y = 5/0.5

y = 10

if the value of x triples, for instance, if x = 0.125

y = 5/x

= 5/0.125

y = 40

The value of y in y = 5/x if the value of x triples itself is y also triples itself; option B

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There are some calculator shortcuts that can be used on a Windows OS and they are:

This refers to the mathematical tool that is used to make scientific calculations to find an expected result and is fully automated.

Hence, we can see that calculator shortcuts in a Windows OS exists and some of them include the combination of keys on a keyboard for quick actions such as clearing and recalling from memory, among many others.

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Answer:

12:)

Step-by-step explanation:

Answer:

isosceles

Step-by-step explanation:

just ask

Answer:

61 people per each group

Step-by-step explanation:

244/4= 61

Answer: 61 people in each group

Step-by-step explanation: 244 divided by 4 is 61

Answer:

hope this will help you

Step-by-step explanation:

Let x = 9log9(4)

x = 9[log(4)/log(9)]

x = 9*0.6224

x = 5.6016

Answer:

C

Step-by-step explanation:

Jan:1$

Feb and March: 50$

April to Oct: 140$

=>1+50+140=191

Answer:

120 cubes

Step-by-step explanation:

We can find the number of smaller cubes that will fit into larger rectangular prism by dividing the volume of prism by the volume of cube.

  Rectangular prism:

       [tex]\sf l = 2\dfrac{1}{2} =\dfrac{5}{2} \ inches\\\\w = 4 \ inches\\\\h =1\dfrac{1}{2}=\dfrac{3}{2} \ inches\\[/tex]

            [tex]\sf \boxed{\text{\bf Volume of rectangular prism= l * w * h}}[/tex]

                                                                 [tex]\sf =\dfrac{5}{2}*4*\dfrac{3}{2}\\\\= 5*1*3\\\\= 15 \ in^3[/tex]

Cube:

       [tex]\sf side = \dfrac{1}{2} \ inches\\[/tex]

                [tex]\sf \boxed{\text{ \bf Volume of cube = side * side *side}}[/tex]

                                                [tex]\sf =\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}\\\\ =\dfrac{1}{8} \ in^3[/tex]

Number of cubes = Volume of prism ÷ volume of a cube

                              [tex]\sf = 15 \div \ \dfrac{1}{8}\\\\=15 *\dfrac{8}{1}\\\\= 120[/tex]

Answer:

2x+8

Step-by-step explanation:

Answer:number 1 and 4

Step-by-step explanation:

Answer:

(-11, -25)

Step-by-step explanation:

Use substitution.

so x-3=4 you add 3+4=7 and your answer is x=7

The rate of change of function 1 is 2

A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.

Given function: y = 2x + 7.

As the graph of function 1 is not given.

the rate of change of function 2 : y = 2x + 7.

As the the value of m or rate of change of above equation is 2

m=2.

as,  the horizontal line passes, the rate of change is 0

Hence, rate of change is 2.

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Answer:

learn

Step-by-step explanation:

Answer:

V = 945.7 cm^3

Step-by-step explanation:

I'm assuming the carton is a rectangular prism/has right angles. The volume formula for a rectangular prism is V = lwh, where l = length, w = width, h = height.

Substitute known values into this formula:

V = 7 × 7 × 19.3

V = 945.7 cm^3

Step-by-step explanation:

with 2 dice we have 6×6 = 36 possible outcomes.

you know

1, 1

1, 2

1, 3

...

6, 6

from these 36 possible outcomes only the following have a sum of 4 :

1, 3

2, 2

3, 1

so, 3 out of 36.

that mags the probability is

3/36 = 1/12

the first answer option is correct.

Answer:

The answer would be Science.

I don't know how to explain it just yet :(

Answer:

the given expression is equivalent to the

Step-by-step explanation:

[tex] {3}^{7} \times \frac{1}{ {3}^{4} } [/tex]

Answer:

c.

Step-by-step explanation:

Students who have chosen to attend a basketball game are more likely to like basketball.

Answer:

-4 < x ≤ -3

Step-by-step explanation:

Separate it into 2 inequalities

2x+6 ≤x+3

x ≤-3

x+3<3x+11

-8 < 2x

x > - 4

Combine the 2 results

-4 < x ≤ -3

Answer (if the number is 10 3/8):

83/8

Step-by-step explanation:

to find out we multiply the whole number (10) by the denominator (x/8) as shown below

10 * 8 = 80

then we just add the product to the numerator (3/y)

3 + 80 = 83

usually we would simplify the new expresion given -wich is 83/8- by finding the least common denominator, however this improper fraction is already in simplest form

Answer:

899

Step-by-step explanation:

h[f(10)]=h(30)

=(30)^2-1=900-1=899

Answer:

See below.

Step-by-step explanation:

To find the surface area, find the area of the square base and add it to the area of each triangle face. Find the area of the base by multiplying base length by base length. Find the area of each triangle face by multiplying 1/2 * b*h.

Example:

For a base which is 12 by 12. The area is 12 x 12 = 144.

For the triangle face, the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.

Together the surface area is 360 + 144 = 504.

Answer:

39 yd^2

Step-by-step explanation:

First, we must divide the shape into quadrilaterals. The best, and easiest, way to do this is to cut along the line in the middle, below the lower 2 yd mark. This will give us a 1 yard by 3 yard rectangle, 4 yard by 8 yard rectangle, and 2 yard by 2 yard square. The next thing to do is to find the area of each location of the backyard using the A = l x w equation. 1 x 3 =  3, 2 x 2 = 4, 4 x 8 = 32. The final step is to add these individual areas, giving us 39 square yards.

Answer:

[tex]\sec\theta=4[/tex]

Step-by-step explanation:

Recall the reciprocal identity [tex]\displaystyle \sec\theta=\frac{1}{\cos\theta}[/tex], thus, [tex]\displaystyle \sec\theta=\frac{1}{\frac{1}{4}}=4[/tex]

Answer:

Option A is correct.

Step-by-step explanation:

1. solve the inequalities

2. find the intersection :)