A right rectangular prism is sliced perpendicular to its base.

What is the shape of the resulting two-dimensional cross section?

trapezoid

rectangle

triangle

Answer:

[tex]y = -\frac{1}{2} x - 3[/tex]

Step-by-step explanation:

Answer:

f(x) = -1/2x - 3.

Step-by-step explanation:

The slope of the line = ((-7 - -5) / (8 - 4)

= -2/4

= -1/2.

y - y1 = m(x - x1)

m = -1/2, x1 = 8 and y = -7 so:

y - (-7) = -1/2(x - 8)

y + 7 = -1/2x + 4

y = -1/2x - 3.

Answer:

31 Centimeters

Step-by-step explanation:

Since a square has 4 equal sides, each side will be the same in measurement. Therefore, we take our total (124 centimeters) and divide it into 4.

124 / 4 = 31

So it can be shown as:

[tex]\sf \dfrac{read \ books}{total \ books \ in \ list}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{12}[/tex]

on simplifying

[tex]\hookrightarrow \sf \dfrac{1}{3}[/tex]

So, option 1 is correct.

First one

Let's find

fraction:-

Cancel by 4

Hence verified

Answer:

A. 8

Step-by-step explanation:

When finding the radius of a circle given area we have to remember the following formulas

[tex]A=\pi *r^{2}[/tex]   and    [tex]r^2=\frac{A}{\pi }[/tex]   or    [tex]r=\sqrt{\frac{A}{\pi } }[/tex]

So using either  [tex]r^2=\frac{A}{\pi }[/tex]   or    [tex]r=\sqrt{\frac{A}{\pi } }[/tex]  we fill out the following

[tex]r^2=\frac{64\pi }{\pi }[/tex]    [tex]r=\sqrt{\frac{64\pi }{\pi } }[/tex] both would equal 8  

The image below explains how we get 8  

Answer:

26/52 or 1/2

Step-by-step explanation:

there's 52 cards in a deck 26 of them are red 26 of them are black

Answer: True

Step-by-step explanation:

It passes the vertical line test, no two points are on the same x value

Correct option is A .True . The given graph is of a function by vertical line test

The vertical line test is a test that checks whether a  given graph is of a function or not. It states that every vertical line passing through the given graph should intersect the graph at most one point .( which comes from the definition of function that that a function takes every point in the input set to a unique image in the codomain set)

For the given graph whenever we will draw a vertical line passing through any point on the domain then it will cut the graph at one point only this can be seen in the attached figure.

Therefore, its true that the given graph represents a function.

∴Correct option is A. True.

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Answer:

(2,7)

Step-by-step explanation:

not sure if this is correct though

Answer:

151 inches

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(c)

1 unit right means add 1 to the x- coordinate

2 units down means subtract 2 from the y- coordinate.

A (1, 3 ) → A' (1 + 1, 3 - 2 ) → A' (2, 1 )

B (4, 5 ) → B' (4 + 1, 5 - 2 ) → B' (5, 3 )

C (3, 1 ) → C' (3 + 1, 1 - 2 ) → C' (4, - 1 )

(d)

the translation rule is

(x, y ) → (x + 1, y - 2 )

5 buses

Explanation:

1 bus → 175 people

=======

? bus → 800/175

? bus → 4.57

Rounding to nearest whole number : 5

Answer:

D) (14.10)

Step-by-step explanation:

2x -3y= -2

2. (x-y=4)2

(2x -3y= -2) 1

3. 2x-2y=8 (equation 1)

2x-3y =-2 (equation 2)

4.subtract equation 2 from equation 1 to eliminate x

5. y= 10

6. use either of the initial equations to find x eg.

x-y = 4

x- 10= 4

x = 10 + 4

x= 14

therefore x,y = 14,10

Answer:

-4x^3 is a monomial

2x + 3 is a binomial

5x^2 + 2x - 10 is a trinomial

Step-by-step explanation:

Monomial equations have one term, biomials have two terms, and trinomial have three.

Answer:

-4x^3 is Monomial

2x + 3 is binomial

5x^2 + 2x - 10 is trinomial

Step-by-step explanation:

Monomial means one term

Binomial is 2 terms

Trinomial is 3 terms

Hope this helps!

Answer:

5 miles

Step-by-step explanation:

Step 1:  Convert yards to miles

[tex]1760\ yards = 1\ mile[/tex]

[tex]8800\ yards * \frac{1\ mile}{1760\ yards}[/tex]

[tex]5\ miles[/tex]

Answer: 5 miles

Answer:

69

6+6 = 12

and

12 + 12 24

24 + 24 48

48 + 12 = 69

Answer:

12 pints

Step-by-step explanation:

There are 24 students & each one gets 1 cup, so you will need 24 cups total.  There are 2 cups in a pint.  You divided the 24 cups you need by 2 cups in a pint to get the answer of 12 pints.

You can double check:  12 pints converted to cups (2 cups in a pint) is 12 x2 = 24 cups

The number of the lions that live in the region investigated by the considered scientist is 80.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're specified that:

Let we take:

x = number of lions the scientist located and tagged on thursday.

Then, we get:

x - 10 = number of lions the scientist located (and assumingly found that they're tagged) on friday,

4 = number of lions he found tagged on friday.

That means, x -10 is same number as 4

or, we get:

[tex]x - 10 = 4\\\text{Adding 10 on both the sides}\\\\x = 14[/tex]

That means, on thursday, the scientist located and tagged 14 lions.

Now, suppose that the region had 'y' number of lions,

Then, as per the data in the question,

one-fifth of y =  number of lions located by scientist on thursday

or, we get:
[tex]\dfrac{y}{5} = x\\\\\dfrac{y}{5} = 14\\\\\text{Multiplying 5 on both the sides}\\\\y = 80[/tex]

Thus, the number of lions that live in the region considered is 80

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The total number of lines is 70.

We have given that,

A scientist wants to estimate the number of lions living in a region.

On Thursday, he locates and tags some lions.

On Friday he returns and locates 10 less lions than he had on Thursday.

He notices that 4 of the lions are tagged

The scientist works out an estimate for the total number of lions living in the region.

we have to determine the no of lines in the length.

on Thursday no.of lines=x

on friday=(x-10)=4

x-10=4

add like terms

Like terms are terms whose variables and their exponents such as the 2 in x^2 are the same.

x=10+4

x=14

No.of total lions =5th of (no. of tagged on Thursday.)

=5(14)

=70

Therefore the total number of lines is 70.

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Answer:

Step-by-step explanation:

8(y+4)=2(x+1)

divide by 8    y+4=1/4x+1/4   subtract 4    y=1/4x - 3 3/4   multiply by 4   y=1/4(x-15)

Answers:

Equation in standard form: [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex]

Axis of Symmetry: x = -1

Vertex: (-1, -4)

Focus: (-1, -2)

Directrix: y = -6

Step-by-step explanation:

First, let's clean up some of the mess with the equation that we have been given in this question and put it in standard form so that we can find the features we've been asked to give.

Our initial equation is:  [tex]8(y+4)=(x+1)^{2}[/tex]

In order to put our equation in standard form, we must isolate y, so that it is in terms of y.

First, we need to divide both sides by 8. When we do this, we get  [tex]y+4=\frac{(x+1)^{2} }{8}[/tex] or [tex]y+4=\frac{1}{8}(x+1)^{2}[/tex]. Then we need to subtract 4 from both sides to get:  [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex].

Now, we can start to find the features of the parabola. Remember, the standard form of equations involving parabolas is [tex]y=a(x-h)+k[/tex] where [tex]a =\frac{1}{4p}[/tex].

The axis of symmetry is at [tex]x=h[/tex], in this case [tex]h=-1[/tex] so the axis of symmetry is [tex]x=-1[/tex].

The vertex is located at [tex](h, k)[/tex]. As we previously stated [tex]h=-1[/tex], but additionally, [tex]k=-4[/tex] making the vertex located at [tex](-1,-4)[/tex].

The focus is located at [tex](h, k+p)[/tex] and the directrix is located at [tex]y=k-p[/tex]. For this, we need to find p which we can find with the equation [tex]a =\frac{1}{4p}[/tex]. Substituting the value of “a” into the equation, we get [tex]\frac{1}{8} = \frac{1}{4p}[/tex]. We can cross-multiply to get the equation [tex]4p=8[/tex]. Dividing by 4 on both sides, we get [tex]p=2[/tex]. Now we can find the focus and directrix.

The focus is located at [tex](-1, [-4+2])[/tex] or [tex](-1,-2)[/tex] and the directrix is represented by the equation [tex]y=(-4-2)[/tex] or [tex]y=-6[/tex].

Hopefully this answered your question this time, and with this, I hope you are able to solve it without help the next time

Answer:

33

Step-by-step explanation:

Because 21 goes to 0 then to -12 we add then and it equals 33. I hope this helps!

A system of equations has no solution. if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.

A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.

The first equation is given as:

y = 8x + 7

The equations in the system would have different constant values if the system of equations had no solution.

y=8x+b

Where:

b is a variable that is not equal to 7.

The equation whose standard form is y=ax+b has no solution. Only equation 2 satisfies the generalized form.

Hence.if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.

To learn more about the system of two equations refer to the link;

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Answer:

B

Step-by-step explanation:

A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

2y = 16x +14  

y = 8x – 7

y = –8x + 7

2y = −16x − 14

Answer:

The answer is C. The frequency is 15 more than expected.

Step-by-step explanation:

A dice has 1-6. There are 3 odd numbers and 3 even numbers. So a 50% chance of landing an even number. Since you rolled 30 times and got 18 even then more than half of 30 times.

Using proportions, it is found that he should collect 80 signatures in each week.

A proportion is a fraction of a total amount.

He currently has 520 signatures, and needs 1000, hence he needs to collect more 1000 - 520 = 480 signatures.

He has six weeks to collect the signatures, hence the number he needs to collect each week is given by:

N = 480/6 = 80.

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Answer:

WHAT NEEDS TO BE ANSWERED?????

Step-by-step explanation:

I CAN MAYBE HELP!!!

Answer:

Which DId you forgot to link it?

Step-by-step explanation:

Answer:

Stephanie has more than $900

Step-by-step explanation:

Represent the unknowns:  a for Alexandra and s for Stephanie.

Then a + s > $2,500, and a = s + $700.

Substituting the latter into the former equation, we get:

(s + $700) + s > $2,500, or

2s > $1800

Then s > $900; Stephanie has more than $900.

Answer:

Question 1: -3

Question 2: 5

Step-by-step explanation:

Question 1's value decreses by 3 so the answer is -3 :)

Question 2's value increases by 5 so the answer is 5 :)

Have an amazing day!!

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Answer:

No

Step-by-step explanation:

To tell whether two triangles are similar or not, we can compare their side lengths or angle measures

in this case, only angle measure are given so will compare those:

m<F = m<I but this is not enough, we need to compare other angles as well

m<H is not equal to m<G

The sum of interior angles in a triangle is equal to 180

so the measure of angle J

100+55+J = 180

J = 25

The measure of angle E

100+35+E = 180

E = 45

Now, neither of these angles are equal to each other so we can conclude that these triangles are not similar.

A percentage is a way to describe a part of a whole.  The most improbable simulation for this coin is heads are 9.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The most improbable simulation for this coin for heads is the frequency of heads coming up out of 20 which is far from the estimated frequency. Since out of these 20 times 75% of the times the head will come up. Therefore, the number of times the head will come up can be written as,

[tex]75\%\ of\ 20\\\\= \dfrac{75}{100} \times 20\\\\= 15[/tex]

Now it is estimated that at least 15 times out of 20, the head will come up. Thus, the most improbable simulation for this coin is heads are 9.

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Answer:

A coin is biased to display heads 75% of the time. It is tossed 20 times, and the outcomes are recorded. The most improbable simulation for this coin is

9 heads.

Step-by-step explanation:

Answer:

an = 30000 * 2^(n-1)

Step-by-step explanation:

The explicit rule of Mr. Blue 's salary

is an = 30000 * 2^(n-1)

How to determine the explicit

How to determine the explicitformula?

Mr. Blue's salary is a geometric sequence

with the following parameters:

First term, a1 = 30000

Rate, r = 2

The explicit rule is calculated as:

an = a1* r^(n-1)

This gives

an = 30000 * 2^(n-1)

Answer: 0.8

Step-by-step explanation: where the events are independent you multiply p(A) by p(B)