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Semenov [28]
3 years ago
6

Stewart said that 30-10p does not equal 5(2p-6) for any value of p. Do you agree with Stewart? Justify Stewart's answer, or expl

ain why he is incorrect.
Mathematics
1 answer:
charle [14.2K]3 years ago
5 0
Ya he is correct !

for any value of P, both can never be equal !
as, 5(2p-6) = 10p-30 .....so even if we put any value , negative or positive, (-30) can not be changed anyway !

thus 30-10p can never be equal to 5(2p-6) !!
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A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling
UNO [17]
1/6 is the probability of rolling a dice and getting less than 3.
7 0
3 years ago
Franklin Construction Company build a sidewalk around two sides of a new library, as shown in the figure. what is the area of th
PtichkaEL [24]

Answer:

630.36\ ft^2

Step-by-step explanation:

we know that

To find out the area of the sidewalk, multiply the length by the width of the sidewalk

The width of the sidewalk is equal to

113.4\ ft-110\ ft=3.4\ ft

or

75.4\ ft-72\ ft=3.4\ ft

The area is equal to

113.4(3.4)+72(3.4)\\385.56+244.8\\630.36\ ft^2

4 0
3 years ago
Solve for points. identify the vertex and indicate whether it is max or min.
Keith_Richards [23]

Answer:

min at (3, 0 )

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = (x - 3)² = x² - 6x + 9 ← in standard form

with a = 1 and b = - 6 , then

x_{vertex} = - \frac{-6}{2} = 3

substitute x = 3 into the equation for corresponding value of y

y = (3 - 3)² = 0² = 0

vertex = (3, 0 )

• if a > 0 then vertex is minimum

• if a < 0 then vertex is maximum

here a = 1 > 0 then (3, 0 ) is a minimum

4 0
2 years ago
Find the value of x and then the measure of Arc XYZ and Arc XZ. Show work on a piece of paper.
Westkost [7]

<u>Given</u>:

The measure of arc XY is (31x)°

The measure of arc YZ is (35x - 16)°

We need to determine the value of x, measure of arc XYZ and arc XZ.

<u>Value of x:</u>

From the figure, it is obvious that the arcs XY and YZ are congruent.

Thus, we have;

31x=35x-16

Subtracting both sides by 35x, we have;

-4x=-16

   x=4

Thus, the value of x is 4.

<u>Measure of arc XYZ:</u>

The measure of arc XYZ is given by

m \widehat{XYZ}=m \widehat{XY}+m \widehat{YZ}

The measure of arc XY is given by

m \widehat{X Y}=31(4)=124^{\circ}

The measure of arc YZ is given by

m \widehat{Y Z}=35(4)-16=124^{\circ}

Hence, the measure of arc XYZ is given by

m \widehat{XYZ}=124^{\circ}+124^{\circ}=248^{\circ}

Therefore, the measure of arc XYZ is 248°

<u>Measure of arc XZ:</u>

The measure of arc XZ is given by

m \widehat{XZ}=360^{\circ}-m \widehat{XYZ}

Substituting the values, we have;

m \widehat{XZ}=360^{\circ}-248^{\circ}

m \widehat{XZ}=112^{\circ}

Thus, the measure of arc XZ is 112°

5 0
3 years ago
What is the volume of the right rectangular prism?
sleet_krkn [62]

Answer:

240 is the answer

Step-by-step explanation:

4 0
3 years ago
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