SUPER EASY/////

What is the midpoint of a line segment with the endpoints (8,-3) and (-5,-9)?

Answer:

$1594.40

Step-by-step explanation:

The question is on monthly benefit for social security

Average amount earned per month=$3750

Benefit earned in first $680 = 90/100 ×3750 = $612

Benefit earned for amount over $680 = 32/100 ×($3750-$680)

0.32×3070=$982.40

Total amount earned as benefit per month= $612+$982.40 =$1594.40

Final answer:

Mr. Jenkins' monthly Social Security benefit is calculated by adding 90% of the first $680 of his average monthly earnings to 32% of the earnings above $680. The total benefit comes out to be $1,594.40 per month.

Explanation:

To calculate Mr. Jenkins' monthly Social Security benefits, we use the formula provided which incorporates two rates: 90% of the first $680 earned, and then 32% of the earnings over $680. Since Mr. Jenkins has an average monthly income of $3,750, the calculation would look like this:

First $680 of earnings: $680 x 0.90 = $612

Remaining earnings: ($3,750 - $680) x 0.32 = $3,070 x 0.32 = $982.40

Total monthly benefit: $612 + $982.40 = $1,594.40

Therefore, Mr. Jenkins' monthly Social Security benefit will be $1,594.40.

The answer is:

The coordinates of the midpoint are:

[tex]x-coordinate=0.5\\y-coordinate=2.5[/tex]

We can find the midpoint of the segment with the given endpoints using the following formula.

The midpoint of a segment is given by:

[tex]MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

We are given the points:

[tex](3,5)\\[/tex]

and

[tex](-2,0)\\[/tex]

Where,

[tex]x_{1}=3\\y_{1}=5\\x_{2}=-2\\y_{2}=0[/tex]

So, calculating the midpoint, we have:

[tex]MidPoint=(\frac{3+(-2)}{2},\frac{5+0}{2})[/tex]

[tex]MidPoint=(\frac{1}{2},\frac{5}{2})[/tex]

[tex]MidPoint=(0.5,2.5)[/tex]

Hence, we have that the coordinates of the midpoint are:

[tex]x-coordinate=0.5\\y-coordinate=2.5[/tex]

Have a nice day!

Answer: 14/25 = 56/100

               11/20 =  55/100

               14/25 > 11/20

Step-by-step explanation:

The least common multiple of 20 and 25 is 100.

(100 = 20*5, 25*4)

So we can take the common denominator 100.

14*4/25*4 =56/100. ∴14/25 = 56/100

11*5/20*5  =55/100. ∴11/20  = 55/100

56>55

∴56/100 > 55/100

∴14/25 > 11/20

Hope it's good;)

I honestly think it is negative

i can confirm the answer is actually Zero.

Answer:

[tex]\large\boxed{q\geq-8}[/tex]

Step-by-step explanation:

[tex]7q-5\leq10q+19\qquad\text{add 5 to both sides}\\\\7q\leq10q+24\qquad\text{subtract 10q from both sides}\\\\-3q\leq24\qquad\text{change the signs}\\\\3q\geq-24\qquad\text{divide both sides by 3}\\\\q\geq-8[/tex]

Answer:

a. 0.25

b. 0.4

c. 0.66 repeating

d. 0.75

Step-by-step explanation:

a. 1/4 is equal to one quarter which is 0.25

b. 2/5 is equal to 4/10 which equals 0.40 or 0.4

c. 2/3 is 0.6666666 and goes on forever so we would call that a repeating decimal

d. 3/4 is equal to three quarters which would be 0.75

i hope this helps :)

1/4=0.25 2/5=0.4 2/3=0.666666666666667 3/4=0.75

Hello fellow human! I hope this helps and possibly answers your question ♡＼(￣▽￣)／♡ Best of luck!

Answer:

Rounded to the nearest hundredth: 2.34 g/cm³

Step-by-step explanation:

Here's the formula to find the Density: [tex]p=\frac{m}{v}[/tex]

This is what the variables mean:

p = density

m = mass

V = volume

Now let's see what clues you have from this toy spoon!

p = ? We are going to solve to find out!

m = 7.5 grams

V = 3.2 mL

First, we should know that there is only 1 gram in each mL and vise-versa, so there is no need to convert these measurements.

Next, we plug in the values from what we know into the equation.

This is the formula: [tex]p=\frac{m}{v}[/tex]

Now if we plug in our values we get: [tex]p=\frac{7.5}{3.2}[/tex]

From that we get, p = 2.34375‬

Finally, if we round our answers we get:

Rounded to the nearest hundredth: 2.34 g/cm³

Rounded to the nearest tenth: 2.3 g/cm³

g/cm³ is the unit for density (in grams), so its up to you to put it or not!

Have an amazing day!! (♡°▽°♡) I hope you found this helpful ;))

The density of the toy spoon is approximately 2.34 g/mL.

The density of an object is calculated by dividing its mass by its volume. In this case, the mass of the toy spoon is 7.5 grams and its volume is 3.2 mL. To find the density, we divide the mass by the volume:

Density = Mass / Volume = 7.5 g / 3.2 mL

Calculating this, we get a density of approximately 2.34 g/mL.

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Answer: 48

Step-by-step explanation:

336/7=48

Answer:

48

Step-by-step explanation:

Well, 336/7 is 48

ANSWER

The car moves at 32 mi/hr

EXPLANATION

This question is asking us to determine how fast is a train that makes 330 mile trip in 4 hours.

This is the same as calculating the speed of the train:

Speed = distance covered/time taken

The distance covered is 330 mile

The time taken is 4 hours.

Speed =330/4 =82.5 mi/hr

Answer:

The answer is x=2

Step-by-step explanation:

Answer:

B x = 2

Step-by-step explanation:

As you can see you have to find out what equals 4 AND what equals 12 and to make sure:

Do 2x2 is 4 because 4 times 1 yes but 6 times 1 is not 12 its 26 therefore C is INCORRECT

A Is Also wrong because 6 x 1 is 6 sure yes 4 x 1 is for but they both have to be equal so A is INCORRECT

And Is wrong because 8 x 4 is 32 but we are looking for what equals 4 not 32 and 6 x 8 is 48 we are looking for a 12 so D is INCORRECT

Now what leaves is B well 2 x 2 =4 and 2 x 6 = 12 Therefore B is Correct! Another way you can do this is to divide 12 ÷ 6 = 2 and 4 ÷ 2 = 2

Hope this helps!

Answer:

See below  

Step-by-step explanation:

This question is about estimation of volumes. Think of a 2 L bottle of pop or a 2 L carton of milk. Could its contents fit inside

Answer: C. Mode

Step-by-step explanation:

Qualitative data applies to observable data such as reoccurring patterns (mode)

Quantitative data applies to numbers and numerical calculations (Mean, Median)

Mode is the best way to analyze qualitative data as it makes the analysis easier.

Mode is the most frequently occurring value in the data.

Qualitative data is the descriptive and conceptual findings collected through questionnaires, interviews, or observation. Analyzing qualitative data allows us to explore ideas.

For example

Each child’s gender

His or her favorite color

Whether he or she owns at least one pet

How he or she gets to and from school

In order to analyze the above data,  Mode is the best method because the mode is the most frequently occurring value in data and one can easily analyze the data.

Therefore,  Mode is the best way to analyze qualitative data.

To get more about mode refer:

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Answer:

y = x + 3

y = 3x²

y = [tex]3^{x}[/tex]

Step-by-step explanation:

Relationship1

y = x + 3

y = (0) + 3 = 3

y = (1) + 3 = 4

y = (2) + 3 = 5

Relationship 2

y = 3x²

y = 3(0)² = 0

y = 3(1)² = 3

y = 3(2)² = 3(4) = 12

Relationship 3

y = [tex]3^{x}[/tex]

y = [tex]3^{0}=1[/tex]

y = [tex]3^{1}=3[/tex]

y = [tex]3^{2}=9[/tex]

Answer:

C

Step-by-step explanation:

Use the formula for the volume of a cylinder.

[tex]V=\pi r^2h[/tex]

Plug in the height, the radius, and 3.14 for [tex]\pi[/tex].

[tex]V=3.14(15^2)(5) \\ \\ V=3.14(225)(5) \\ \\ V=3.14*1125 \\ \\ V=3532.5[/tex]

If you round that number you'll get [tex]V=3533[/tex].

So the answer is answer choice C.

Answer:

A) 7

B) 1

C)6

D) 7

Step-by-step explanation:

Clock arithmetic is just like the basic arithmetic you know... with one difference... there are no numbers beyond 12 (or 24).

In your question, you seem to indicate to consider only the 12-hour clock system, much like it is used in the USA.

So, every time you pass 12, you start at 1 again. So, your answer has to be under 13.  If your answer is still > 12 after you subtracted 12, subtract 12 again, and again, and again, until you get something <= 12.

That's what we call a modulo 12.

A) 8 + 11 = 19...  but then you subtract 12... 19 - 12 = 7

B) 4 + 9 = 13, 13 - 12 = 1

C) 7 * 6 = 42, 42 - 12 = 30, 30-12 = 18, 18 -12 = 6

D) 5 * 11 = 55, 55 - 12 = 43, 43 - 12 = 31, 31 - 12 = 19, 19 - 12 = 7

By performing the calculations and finding the remainders, we can determine the answers to the given expressions. The required answers are: A) 7, B) 1, C) 6, D) 7.

Let's solve each calculation step by step:

A) 8 + 11 (12 clock): 8 + 11 is 19. Since we are using a 12-hour clock, we need to take the remainder when dividing 19 by 12. 19 divided by 12 gives a remainder of 7. So, the answer is 7.

B) 4 + 9 (12 clock): 4 + 9 is 13. Dividing 13 by 12 gives a remainder of 1. So, the answer is 1.

C) 7 x 6 (12 clock): 7 multiplied by 6 is 42. Dividing 42 by 12 gives a remainder of 6. So, the answer is 6.

D) 5 x 11 (12 clock): 5 multiplied by 11 is 55. Dividing 55 by 12 gives a remainder of 7. So, the answer is 7.

Answer:

a.  1, 1, 1, 1

Step-by-step explanation:

We'll use the formula f(x) = x² for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.

We start with x0 = 1

x0 = -1  => f(x) = x² = (-1)² = 1

x1 = 1 => f(x) = x² = (1)² = 1

x2 = 1 => f(x) = x² = (1)² = 1

x3 = 1  => f(x) = x² = (1)² = 1

x4 = 1 => f(x) = x² = (1)² = 1

Answer:

A. 1, 1, 1, 1

Step-by-step explanation:

We start with x0 = 1

x0 = -1  => f(x) = x² = (-1)² = 1

x1 = 1 => f(x) = x² = (1)² = 1

x2 = 1 => f(x) = x² = (1)² = 1

x3 = 1  => f(x) = x² = (1)² = 1

x4 = 1 => f(x) = x² = (1)² = 1

[tex]\bf \cfrac{3}{30}\implies \cfrac{3\cdot 1}{3\cdot 10}\implies \cfrac{3}{3}\cdot \cfrac{1}{10}\implies 1\cdot \cfrac{1}{10}\implies \cfrac{1}{10}[/tex]

Answer:

1. same standard deviation, different means

2. same mean, different standard deviation

3. median is higher than the mean

4. mean is higher than the median

Step-by-step explanation:

Answer:

2 cups of apple juice

Step-by-step explanation:

In order to get one cup of cranberry juice, you would need to add the ratio, 1/4, four times. Since for every 1/4 cup of cranberry juice there is 1/2 cup of apple juice, add 1/2 four times

1/2 + 1/2 + 1/2 + 1/2 = 4/2 = 2 cups

ANSWER

The correct answer is A.

EXPLANATION

The given triangle is a right isosceles triangle because one angle is 90° and the base angles will be 45° each.

This means that:

[tex]a = b[/tex]

Using, the Pythagorean Theorem, we have

[tex] {a}^{2} + {a}^{2} = {(9 \sqrt{2} )}^{2} [/tex]

We simplify to get:

[tex]2{a}^{2} = 81 \times 2[/tex]

[tex]{a}^{2} = 81[/tex]

Take positive square root,

[tex]a = \sqrt{81} [/tex]

This implies that

[tex]a = 9[/tex]

Therefore b is also equal to 9

The correct answer is A.

Answer: option a

Step-by-step explanation:

You can use these identities:

[tex]sin\alpha=\frac{opposite}{hypotenuse}\\\\cos\alpha=\frac{adjacent}{hypotenuse}[/tex]

Then, to find "a" you know that:

[tex]\alpha=45\°\\adjacent=a\\hypotenuse=9\sqrt{2}[/tex]

Substituting:

[tex]cos(45\°)=\frac{a}{9\sqrt{2}}[/tex]

Now you must solve for "a":

[tex]a=cos(45\°)(9\sqrt{2})\\\\a=9in[/tex]

To find  "b", you know that:

[tex]\alpha=45\°\\opposite=b\\hypotenuse=9\sqrt{2}[/tex]

Substituting:

[tex]sin(45\°)=\frac{b}{9\sqrt{2}}[/tex]

Now you must solve for "b":

[tex]b=sin(45\°)(9\sqrt{2})\\\\b=9in[/tex]

Answer:

125 times larger

Step-by-step explanation:

Let's say the radius is 3, just as an example.

The formula of a sphere is V=4/3 pi r^3

Then we can just substitute and test it out.

V=4/3 pi (3)^3

V=4/3 pi (27)

V=36 pi

Then multiple the previous radius by 5 to test it out.

V=4/3 pi (15)^3

V=4/3 pi (3375)

V=4500 pi

Then divide the bigger one by the smaller one

You will get 125, therefore it is 125 times larger

hope this helps :D

Answer:

yes, 18,000g = 18kg

Step-by-step explanation:

Answer:

51.3

Step-by-step explanation:

This is a right triangle (because of the 90° angle).  For any right triangle, you can use the following:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

You can remember this as SOH-CAH-TOA.

We want to find the angle y.  We know that the opposite side is 10 and the adjacent side is 8.  So we can use tangent:

tan y = 10 / 8

y ≈ 51.3°

Answer:

The solution is:

Part A. [tex]\sqrt{5}^{\frac{7k}{3}})[/tex] which is sqrt(5)^7k/3[/tex]

Part B. k = 18/7

Step-by-step explanation:

Part A.

To solve this part, we're going two use THREE important properties of exponents:

1. [tex](x^{n})^{m} = x^{nm}[/tex]

2. [tex]\frac{x^{n}}{x^{m}} = x^{n-m}[/tex]

3. [tex]\sqrt[n]{x^{m}} = x^{\frac{m}{n} }[/tex]

Let's work the numerator using the properties 1, 2 and 3:

[tex](\sqrt{5}^{3} )^{\frac{k}{9} } }  = (\sqrt{5}^{3\frac{k}{9}}) = (\sqrt{5}^{\frac{k}{3}})[/tex]

Let's work the denominator using the properties 1, 2 and 3:

[tex](\sqrt{5}^{6} )^{-\frac{k}{3} } }  = (\sqrt{5}^{6\frac{k}{3}}) = (\sqrt{5}^(2k))[/tex]

Now dividing the numerator by the denominator:

[tex]\sqrt{5}^{\frac{k}{3}-(-2k)})=\sqrt{5}^{\frac{7k}{3}})[/tex]

Part B

if [tex]5^{\frac{3}{2} } 5^{\frac{3}{2}} = \sqrt{5}^{\frac{7k}{3}})[/tex]

Then:

[tex]5^{3} = 5^{\frac{7k}{6}})[/tex]

So [tex]\frac{7k}{6}} = 3[/tex]

Solving for k, we have:

k = 18/7

Answer:

$0.75

Step-by-step explanation:

$0.35+$0.40=$0.75

Answer:

Step-by-step explanation:

.75 cents

Answer:

The answer D) 0.9

Step-by-step explanation:

i did this on USATestprep its correct

The value of the correlation coefficient is determined by how closely the data points in a scatter plot align along a straight line. Without viewing the scatter plot, it's not possible to accurately estimate the value of the correlation coefficient.

The estimate of the correlation coefficient (r) is based on the degree to which the points graphed in the scatter plot align along a straight line. The value of r varies between -1 and 1. If the points are very close to forming a straight line and the line slopes upwards, then r is close to 1. If the points are closer to forming a random cloud or a shape other than a line, the r is close to 0. So without viewing the scatter plot, it's impossible to choose the best estimate for r.

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Answer:

The probability of rolling a 3 or a 6 is 1/4....

Step-by-step explanation:

Number of times outcome occurred = 10+6+4+8+6+6

Number of times outcome occurred = 40

Number of times 3 occurred = 4

Number of times 6 occurred = 6

Now add both the values: 4+6 =10

Now to find the  experimental probability of rolling a 3 or a 6, You just simply divide number of times outcome occurred by 10

= 10/40

Cancel the term by the table of 5.

10/40

=2/8

Now further divide it by the table of 2

= 1/4

Thus the probability of rolling a 3 or a 6 is 1/4....

Answer:

478 people

Step-by-step explanation:

All you need to do for this problem is simply multiply 239 by 2. If the first 6 rows are 239 people, and so are the next 6, that's all you need to do.

239*2=478

[tex]f^{-1} (x)=3+\frac{x}{2}[/tex]

Answer:

f(x)^-1 = 1/2x +3

Step-by-step explanation:

f(x) = 2x-6

y =2x-6

Exchange x and y and solve for y

x = 2y -6

Add 6 to each side

x+6 = 2y

Divide by 2

(x+6)/2 = 2y/2

(x+6)/2 =y

1/2x +3 =y

This is the inverse of f(x)

f(x)^-1 = 1/2x +3

Subtract x from both sides

2x + 3 - x = -4

Simplify 2x + 3 - x to x + 3

x + 3 = -4

Subtract 3 from both sides

x = -4 - 3

Simplify -4 - 3 to -7

x = -7

2x+3=x-4

2x-x= -4-3

x= -7

Check answer by using substitution method

2(-7)+3= -7-4

-14+3=-11

-11=-11

Answer is x=-7