Quadrilateral QRST is dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of quadrilateral Q′R′S′T′? answer: A) Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4) B) Q′ (4, 4), R′ (–4, 4), S′ (–4, –4), T′ (4, –4) C) Q′ (–1, 1), R′ (1, 1), S′ (1, –1), T′ (–1, –1) D) Q′ (–3, 3), R′ (3, 3), S′ (3, –3), T′ (–3, –3)

Answer:

9

Step-by-step explanation:

there are 4 more pennies with adding the dimes and quarters together so there is most likely a high probability for 2 pennies to be pulled.

Answer:

The answer is -58.

Step-by-step explanation:

If both numbers are negative, add the two numbers and add the negative sign in later.

Answer:

Step-by-step explanation:

For the first one, do 24 x 3/4 which is 18. So, there are 18 8th graders on the soccer team if there are 24 team members.

Use the same method for the second one. 3/4 x 36 = 27. There are 27 8th graders on the soccer team if there are 36 team members.

I'm not sure about the third, so I'm not about to lead you on to something that might not even be correct. (I'm legit in sixth grade, and just started doing rsm, but I know how to do the other questions)

If there are 12 8th graders, just reverse the steps. 12 x 4/3 = 16. Check your work by doing 16 x 3/4 = 12, which is correct. So, there would be 16 students on the team if there are 12 8th graders.

Answer:

\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0\)

Step-by-step explanation:

Given quadratic equation:

\(ax^2 + (2a + 2)x + a + 3 = 0\)

To find the possible values of "a" such that the given equation has two roots and the distance between them on the number line is greater than 1, use the quadratic formula.

\(\boxed{\begin{minipage}{4 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}\)

Comparing the coefficients:

Substitute the coefficients into the quadratic formula:

\(x=\dfrac{-(2a+2) \pm \sqrt{(2a+2)^2-4a(a + 3)}}{2a}\)

Simplify the discriminant (the part under the square root sign):

\(x=\dfrac{-(2a+2) \pm \sqrt{-4a+4}}{2a}\)

Factor out 4 from the discriminant:

\(x=\dfrac{-(2a+2) \pm \sqrt{4(-a+1)}}{2a}\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(x=\dfrac{-(2a+2) \pm \sqrt{4}\sqrt{-a+1}}{2a}\)

Therefore:

\(x=\dfrac{-(2a+2) \pm 2\sqrt{-a+1}}{2a}\)

Factor out the common term 2:

\(x=\dfrac{-(a+1)\pm \sqrt{-a+1}}{a}\)

Therefore, the two solutions are:

\(x=\dfrac{-a-1+\sqrt{-a+1}}{a},\;\;x=-\dfrac{a+1+\sqrt{-a+1}}{a}\)

As both solutions have "a" as their denominator, a ≠ 0.

Note: When substituting a = 0 into the original equation, we are left with a linear equation, which only has one root. Therefore, this confirms that a ≠ 0.

Now we have found expressions for the two roots, we can set the distance between them to greater than 1:

\(\dfrac{-a-1+\sqrt{-a+1}}{a}-\left(-\dfrac{a+1+\sqrt{-a+1}}{a}\right) > \:1\)

\(\dfrac{-a-1+\sqrt{-a+1}}{a}+\dfrac{a+1+\sqrt{-a+1}}{a} > \:1\)

Simplify:

\(\begin{aligned}\dfrac{-a-1+\sqrt{-a+1}+a+1+\sqrt{-a+1}}{a}& > 1\\\\\dfrac{2\sqrt{-a+1}}{a}& > 1\\\\2\sqrt{-a+1}& > a\\\\(2\sqrt{-a+1})^2& > a^2\\\\4(-a+1)& > a^2\\\\-4a+4& > a^2\\\\a^2+4a-4& < 0\\\\(a+2)^2-8& < 0\\\\(a+2)^2& < 8\end{aligned}\)

\(\textsf{For\;\;$u^n < a$,\;\;if\;$n$\;is\;even\;then\;\;$-\sqrt[n]{a} < u < \sqrt[n]{a}|$:}\)

\(-\sqrt{8} < a+2 < \sqrt{8}\)

Therefore:

\(-\sqrt{8} -2 < a < \sqrt{8}-2\)

\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2\)

So the possible values of "a" such that ax² + (2a + 2)x + a + 3 = 0 has two roots and the distance between them on the number line is greater than 1 are:

\(\large{\boxed{-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0}\)

Number of red marbles pulled = 8

Number of blue marbles pulled = 8

Total marbles pulled = 25

Relative Frequency = Total Frequency / Total number of data values

Relative Frequency of red marble = 8/25

                                                         = 32%

Relative Frequency of blue marble = 8/25

                                                         = 32%

Learn more about Relative Frequency here

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https://brainly.com/question/3857836

Hope my answer helps you✌️

Mark BRAINLIEST

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Answer:

The answer is 3

y=4x-3❌

Step-by-step explanation:

1)y=3x=3(1)=3✅

2)y=x+2=1+2=3✅

3)y=4x-3=4-3=1❌

4)y=4x-1=4-1=3✅

= 26,(6)

≈ 26,7

C = 5/9(F - 32)

= 5/9(80 - 32)

= 5/9(48)

= 5×48/9

= 240/9

= 26,(6)

≈ 26,7

Answer:

72

Step-by-step explanation:

First, we will multiply the number of posts (7) by the posts' width (6) to get 42.

Since there is a chain between each post, there are 6 chains.

Multiplying the number of chains (6) by the chains' length (5), we get 30.

The question asks us to find the total length of the fence, so we add 42 and 30 and get 72.

Hope this helps!

Answer:

8

Step-by-step explanation:

.5 is 1/2  

its asking you 4/.5

which  is 8

Answer:

8 o'clock because to get to 21 you need 6+7+8 and struck three times.

Answer:

0.56

Step-by-step explanation:

5/9 is 0.555555... so rounded it would be 0.56

Answer:

97

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

not an even number, 96 would be a multiple of 3, not a multiple of 4, and doesnt end with 0 or 5.

Answer:b c

Step-by-step explanation:

Answer:

Step-by-step explanation:

the study guide helps best

Answer:

X = 14 kg

Y= 7 kg

Step-by-step explanation:

LET  X and Y equal the amounts of brand X and Y

X = kg of brand X

Y = kg of brand Y

we know:

1)   X    +    Y   =   21    (kg)

2)   1X  +   4Y  =   2(X + Y)        (This is the cost/kg * amounts for total cost)  

Coefficients 1,4,2  are the cost/kg)

substitute eq. 1 (X+Y), = 21 into right side of equation 2

1X + 4Y = (21)*2

use elimination to solve 2 equations

X   +   Y = 21

X   + 4Y = 42        (now subtract,       note:  I wrote the 1X as just X)

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

0     -3Y  = -21       OR   Y = 7 kg   so X = (21-7) OR   X = 14 kg

Answer:

this is the simplest form

Step-by-step explanation:

since there is a variable in the fraction, you can't simplify it any further until we know that term.

Answer:

-7y/2

Step-by-step explanation:

-7y/2 cannot be simplified any further as there are no common factors of -7y and 2

Answer:

A. The students tend to have fewer siblings than the teachers.

Step-by-step explanation:

First we need to draw the dot plots correctly. If you count both sides they have 20 each.

Now, clearly none have fewer nobody here yet has more or less but going on to the next step.

Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14.  And so on.

On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.

So the answer is A. The students tend to have fewer siblings than the teachers.

Answer:

The sum is A

Step-by-step explanation:

Just ma duty to help the community

Answer:

of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one

so:

a greater

b greater

c less

D greater

e equal

f less

g equal

Answers in bold:

========================================================

Explanation:

We have these three rules for scale factors

With those rules in mind, we have enlargements for these transformations.

All of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.

In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.

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

We also have these reductions

This is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.

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

And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.

The order doesn't matter for this subset, but the order will matter for the other batches of transformations.

Answer: The length of the extension ladder that is against the outside wall of the house is 22.58 feet.

Step-by-step explanation: When the ladder lies against a house, a right triangle is formed. You can use the numbers to calculate distance. (or just use a calculator.

Answer:

Step-by-step explanation:

Let's start by finding the sum of the list of nine numbers, which we can then use to find the value of the remaining two numbers in the list:

Sum of the nine numbers = mean * number of numbers = 17 * 9 = 153

Let the three modes be a, b, and c. Since they are modes, each of them must appear at least twice in the list.

Let's assume that the numbers in the list are arranged in non-decreasing order. Then we have:

a ≤ b ≤ c

Since a, b, and c are modes, each of them must appear at least twice in the list. We have three cases to consider:

Case 1: Each of a, b, and c appears exactly twice in the list.

In this case, the remaining three numbers in the list are:

x1 = a + 4

x2 = b + 1

x3 = c - 8

We know that x1, x2, and x3 are distinct and not modes of the list. Therefore, they must be among the six numbers in the list that are not equal to a, b, or c. Let's call these numbers d, e, and f, where:

d ≤ e ≤ f

Then we have:

a + b + c + x1 + x2 + x3 + d + e + f = 153

3(a + b + c) + 3(d + e + f) = 153 + x1 + x2 + x3

Since x1, x2, and x3 are distinct and not modes of the list, we have:

x1 > c

x2 > b

x3 < c

Therefore, we can write:

x1 = c + k1

x2 = b + k2

x3 = a + k3

where k1, k2, and k3 are positive integers.

Substituting these expressions into the equation above, we get:

3(a + b + c) + 3(d + e + f) = 153 + a + b + c + k1 + k2 + k3

Simplifying, we get:

2(a + b + c) + 3(d + e + f) = 153 + k1 + k2 + k3

Since k1, k2, and k3 are positive integers, the right-hand side of this equation is at least 3. Therefore, we have:

2(a + b + c) + 3(d + e + f) ≥ 156

We want to find the value of 3(a + b + c), so let's isolate this term:

3(a + b + c) = 2(a + b + c) + (a + b + c)

Since the left-hand side is three times the sum of a, b, and c, and the right-hand side involves the sum of a, b, c, d, e, and f, we need to express d, e, and f in terms of a, b, and c.

From the inequality a ≤ b ≤ c, we have:

a + k3 ≤ b + k2 ≤ c + k1

Adding 4 to the first inequality, we get:

a + k3 + 4 ≤ b + k2 + 4 ≤ c + k1 + 4

Adding -8 to the second inequality, we get:

a + k3 + 4 ≤ c + k1 - 4 ≤ b + k2

Therefore, we can choose d = a + k3 + 4, e = c + k1 - 4, and f = b + k2. Then

Answer:

please send the questions again

Answer:

-3

Step-by-step explanation:

math

Answer:

-3

Step-by-step explanation:

Adding -3 to 3 makes the sum equal to 0:

3 + (-3) = 3 - 3 = 0