The number of **integers **from 31 to 40 is 10

**Integers **are the set of positive whole numbers and negative whole numbers including zero. Examples are 5, 81, -56, 9, -2, 0, 17 etc.

From the question, we are to determine the number of **integers **there are from 31 to 40.

First, we will list all the whole numbers from 31 to 40.

The whole numbers from 31 to 40 are

31, 32, 33, 34, 35, 36, 37, 38, 39, and 40.

All of these numbers are positive whole numbers. Thus, they are integers.

The number of **integers **listed above is 10.

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The ------------- of a circle is a line segment that joins two points on the circumference of the circle and passes through the centre of the circle

**Solution**

The **Diameter** of a circle is a line segment that joins two points on the circumference of the circle and passes through the centre of the circle

Simplify the following exponent (x¹⁰ ÷ x²) x x³

**Answer:**

**x^6**

**Step-by-step explanation:**

**Given X¹⁰ ÷ (x² X x³ ÷ x) : Simplify.**

**We know the law of exponents which states that**

**a^m x a^n = a^m + n**

**a^m / a^n = a^m - n**

**So the problem is x^10 / (x^2 x x^3 / x)**

**So we have x^10 / x ^5 / x**

** x ^10 / x ^5 - 1**

** x^10 / x^4**

** x ^10 -**

**x^6**

**After simplifying we get x^6**

PLEASE AWNSER NOW Sandy uses three and one half pounds of clay to make 7 small vases. Use a proportion to find how many pounds of clay she will use to make 21 small vases.

7 and one fourth pounds

8 and one half pounds

10 and one half pounds

14 and one fourth pounds

Answer:

The answer is 10 and one half pounds

Explanation:

3.5/7 = 2

21/2 = 10.5

10 and one half **pounds **use to make 21 **small vases**.

The **unitary** **technique **involves first **determining **the **value** of a **single **unit, followed by the **value **of the necessary **number **of **units**.

For **example**, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Sandy **uses **clay= 3 1/2 pounds for 7 vase

So, for 1 vase **amount **of** **clay used

= 7/2 x 1/7

= 1/2 pounds

Now, for 21 **small vases** amount of **clay used**

=21 x 1/2

= 21/2

= 10 1/2 pounds.

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Find the surface area of a cylinder with a height of 7 in and a base diameter of 8 in.

Use the value 3.14 for pi and do not do any rounding.

Be sure to include the correct unit.

The total **surface area **of the cylinder whose height is 7 units and diameter is 8 units is 226.08 units.

**What is surface area?**

The **surface area** of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of **surface area** in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves or the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated. This definition of surface area, based on infinitesimal calculus methods, uses partial derivatives and double integration.

The formula to calculate the **total surface area **of a cylinder is:

[tex]S = 2\pi rh + \pi r^2[/tex]

Where, S = **surface area**, r = radius, and h = height

As given in the question,

height (h) = 7 units

diameter (d) = 8 units

Since, r = d/2

So, r = 8/2 = 4 units

putting these values in the formula:

[tex]S = (2\times 3.14 \times 4 \times 7)+( 3.14 \times 4^2)[/tex]

[tex]S = (2\times 3.14 \times 4 \times 7)+( 3.14 \times 16)[/tex]

[tex]S = 175.84 + 50.24\\[/tex]

**S = 226.08 units**

Therefore, **Surface area** of the cylinder is 226.08 units

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i need help asap!!! im bad at graphing

**Points** are (1, -3)

In algebra, an **equation** is a declaration of equivalence that includes one or more variables or unknowable quantities. In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.

Given Data

Slope = -[tex]\frac{1}{2}[/tex]

**Points** (-1, -5)

The line's general equation is y=ax+b.

Since we are aware that the **slope** is -[tex]\frac{1}{2}[/tex], an is equal to -[tex]\frac{1}{2}[/tex].

We also understand that if x = -1, then y = -5.

Let's connect it:

-5=1*(-1)+b

-5=-1+b

b= -4

So, y=x -4 is the line's **equation**.

Let x = 1

y = 1 - 4

y = -3

(1, -3)

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Write the correct inequality for the following statement and then solve for the given number of

guests.

You are in charge of planning your mother's surprise party. You have

found a hall that rents for $225 and a caterer that will charge you $15 per

guest. Write an inequality to calculate your total cost (T) based on the

number of guests (g).

If you have a total budget of $1000 how many guests can you

invite?

The **inequality** that can be used to calculate total cost (T) based on the number of guests (g) is 225 + 15g ≤ 1000.

If you have a total **budget** of $1000, 51.67 guests can be invited.

Total cost = Cost of hall rent + Caterer's charge per guest(Number of guests)

225 + 15g ≤ T

If you have a total budget of $1000

225 + 15g ≤ T

225 + 15g ≤ 1000

15g ≤ 1000 - 225

15g ≤ 775

g ≤ 775 / 15

g ≤ 51.66666666666666

Approximately,

g ≤ 51.67

So therefore, the inequality to represent the situation is 15g ≤ 1000 - 225 and about 51.67 guests can be **invited** if you have a **budget** of $1000

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(NEED ANSWER ASAP) Tom and Jessica are going to Disneyworld. Snacks are EXPENSIVE there. They each got a Mickey ice cream, and Jessica also got cotton candy. Tom only had $9, so Jessica paid for the rest, which was $4. The ice cream cost $5 each, what was the cost of the cotton candy? Write an equation to represent the word problem and solve it. (Show all of your steps)

The cost of the **cotton candy **that Jessica purchased is $3.

The first step is to determine total amount spent on **snacks. **The total amount spent is the sum of the amount paid by Tom and Jessica.

Total amount spent = $9 + $4 = $13

Two **ice creams **and one **cotton candy **is bought. This can be represented with:

$13 = total cost of ice cream + cost of the cotton candy

$13 = (2 x$5) + c

$13 = $10 + c

c = $13 - $10

c = $3

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Far from home: A survey asked first-year college students, “How many miles is this college from your permanent home?” Students had to choose from the following options: 5 or fewer, 6 to 10, 11 to 50, 51 to 100, 101 to 500, or more than 500. The side-by-side bar chart shows the percentage of students at public and private 4-year colleges who chose each option.

The average distance between students in **public** is** smaller** than that in **private.**

While the data for the public appears to closely follow a **bimodal distribution,** the data for the private appears to be **negatively skewed, **meaning that the tail is lopsided to the left. However, it might be nearly symmetrical. While the modal class for the public is 11–50, it is 101–500 for private.

While the mean for **public data** is close to 50, it is close to 100 for private data.

Therefore, it is clear from the graphs that students' **average distances **from Public are **closer **than those from Private.

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Answer this graph based Question I will provide you 50 points + make you brainliest.

Part a: The value of y is 11 for x = 2.

Part b: The graph for the **function** y = x² + 4x -1 is drawn.

Part c: **Range**; (-∞,-3.75]∪[-0.25,∞)

Part d: The function is y = -5 - (x + 2)².

Part e: The approximate value of √3 is 1.732.

What is defined as the term function?AFor the given function;

y = x² + 4x -1, the values of y for the corresponding x is given in tables shown.

Part a: value of y when x = 2.

Put x = 2 in the function;

y = x² + 4x -1

y = 2² + 4×2 -1

y = 11

The value of y is 11 for x = 2.

**Part b:** The** graph **for the function y = x² + 4x -1 is drawn using the scale of 10 small divisions as 1 unit along x and y axis.

**Part c:** Range of value of x for which y ≥ -2.

Locate the point of x from the graph for which the value of y y ≥ -2.

**Range**; (-∞,-3.75]∪[-0.25,∞)

**Part d: **The function in the form of y = k - (x - h)², where k and h are the vertex.

The **vertex** from the graph is found as (-2, -5) (h, k)

Putt in the equation;

y = k - (x - h)²

y = -5 - (x - (-2))²

y = -5 - (x + 2)²

**Part e:** 2 - √3 is the root of the equation 0 = x² + 4x -1.

It 2 - √3 is the **root **of the equation, then by putting this value at x the equation becomes zero.

The approximate value of √3 is 1.732 which is found by long division method.

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1. Round to the nearest thousand. Use the number line to model your thinking.

9,340=

After** rounding off **the number we get ; 9,300

When a number is rounded to the **closest thousand**, it is changed to an approximated value that is simpler to recall and utilize. The closest value to the supplied integer is this value, which is a multiple of 1000. For instance, 342984 becomes 343000 if it is rounded to the closest thousand.

So as in this question the number given is 9340

Since we have to round it off to thousands

and the number next to 9 is 3

Thus we can say that after rounding off the number will be

9,300.

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8.1÷0.9+0.4^(3)÷0.8×30

**Answer:**

11.4

**Step-by-step explanation:**

**Answer:**

11.4

p.s you try it may help

Factoring binomials math

we have the expression

[tex]x^3-125[/tex]we have that

x=5 is a zero of the given equation

so

Divide x^3-125 by (x-5)

x^3-125 : (x-5)

x^2+5x+25

-x^3+5x^2

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

5x^2-125

-5x^2+25x

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

25x-125

-25x+125

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

0

therefore

x^3-125=(x-5)(x^2+5x+25)

the answer is the fourth optionFind the distance between each pair of points. Round youranswer to the nearest tenth, if necessary.(7, 6), (0, 2)

Chris, this is the solution to the exercise:

• Point 1 = (7, 6)

,• Point 2, (0, 2)

Now, let's use the formula to calculate the distance between the two points, as follows:

d = √(0 - 7)² + (2 - 6)²

d = √-7² + (-4)

d = √49 + 16

d = √65

d = 8.0622

**d = 8.1 (rounding to the nearest tenth)**

= 186x – 30y5х – 25y= 15

**Answer:**

There are infinitely many solutions

**Explanation:**

Given the system of linear equations:

[tex]\mleft\{\begin{aligned}6x-30y=18 \\ 5x+25y=15\end{aligned}\mright.[/tex]To solve using Matrices, we write the equation in the form:

Ax = b

Where A represent the matrix of the coefficient of the variables x and y

x represent the matrix of the variables x and y

and b represents the matrix of the constants on the right hand side.

In matrix form, we have:

[tex]\begin{bmatrix}{6} & {-30} \\ {5} & {-25}\end{bmatrix}\begin{bmatrix}{x} \\ {y}\end{bmatrix}=\begin{bmatrix}{18} \\ {15}\end{bmatrix}[/tex]**We must have a nonzero determinant for A**

The determinant of A is:

[tex]\begin{gathered} (-25\times6)-(-30\times5) \\ =-150+150 \\ =0 \end{gathered}[/tex]**The determinant of A is zero, without going far, we conclude that the system has infinite number of solutions.**

Dean started with 5 metersof yarn. He used 300millimeters of yarn each dayfor 5 days. How manymeters of yarn does Deanhave left?

**Given:**

Dean started a yarn with 5 meters. He used 300millimeters of yarn each day for 5 days.

**Required:**

Find how many meters of yarn Dean has left.

**Explanation:**

We know that 1 meter = 1000milimeters

Dean used meters of yarn in the five days

[tex]\begin{gathered} =\frac{300\times5}{1000} \\ =\frac{3}{2}\text{ meter} \end{gathered}[/tex]The left meters are:

[tex]\begin{gathered} =5-\frac{3}{2} \\ =\frac{10-3}{2} \\ =\frac{7}{2} \\ =3.5 \end{gathered}[/tex]**Final Answer:**

Thus 3.5 meters of yarn left

what is the exact value of tan (-3pi/4)

**Answer:**

1

**Step-by-step explanation:**

Hiro picks up four digits card, he says: I can make a multiple of 10 with these cards. I can also make a number that rounds to 5300 and a number where the digit 8 is worth 800?

I believe the numbers are 5, 2, 8, 0 if you round to the nearest hundred

i need help with this question

In the given expression

[tex]x^5+32y^3=\ln y[/tex]To differentiate it with respect to it, we will writ y' for every term of y

The differentiation of

[tex]x^5=5x^{5-1}=5x^4[/tex]The differentiation of

[tex]32y^3=32(3)y^{3-1}y^{\prime}=96y^2y^{\prime}[/tex]The differentiation of

[tex]\ln y=\frac{1}{y}(y^{\prime})=y^{-1}y^{\prime}[/tex]Now let us write all of them in one line

[tex]5x^4+96y^2y^{\prime}=y^{-1}y^{\prime}[/tex]Put the terms of y' on one side and the other term on the other side

[tex]96y^2y^{\prime}-y^{-1}y^{\prime}=-5x^4[/tex]Take y' as a common factor

[tex]y^{\prime}(96y^2-y^{-1})=-5x^4[/tex]Divide both sides by the bracket

[tex]y^{\prime}=\frac{-5x^4}{(96y^2-y^{-1})}[/tex]Since the given point is (-2, 1), then

x = -2 and y = 1

Substitute them to find y'

[tex]\begin{gathered} y^{\prime}=\frac{-5(-2)^4}{(96\lbrack1\rbrack^2-\lbrack1\rbrack^{-1})}=\frac{-5(16)}{(96-1)}=\frac{-80}{95} \\ y^{\prime}=-\frac{16}{19} \end{gathered}[/tex]**The value of y' is -16/19**

Reflect (1, -3) over the y-axis.

Then translate the result down 1 unit.

What are the coordinates of the final point?

The answer would be (1,2) because the reflection would result (1,3) then translate down

**Answer:**

(-1 , -4)

**Step-by-step explanation:**

Hello!

Refer to the graph for the **reflection** and **translation**.

The coordinates of the final point would be (-1,-4), given the x and y-values of the point.

Describe the graph of the quadratic function f (x) = -3x^2+ 6x + 5 by stating whether it opens upward or downward and stating how it is stretched or compressed when compared to the parent quadratic functionA. The parabola opens downward. It is compressed shorter by a factor of 3.B. The parabola opens upward. It is stretched taller by a factor of 3.C. The parabola opens downward. It is stretched taller by a factor of 3.D. The parabola opens upward. It is compressed shorter by a factor of 3.

**Answer:**

B. The parabola opens upward. It is stretched taller by a factor of 3.

**Step-by-step explanation:**

You want to know **how the quadratic opens**, and how it is **stretched or compressed**, given its equation is **f(x) = -3x^2 +6x +5**.

The "leading coefficient" is the coefficient of the highest-degree term. That term is -3x^2, and its coefficient is -3.

The minus sign tells you the parabola **opens downward**.

The magnitude of 3 tells you the parabola is **stretched vertically (taller) by a factor of 3**.

Which expression is equivalent to -5/3 x

**Answer:**

-1 2/3 x

**Step-by-step explanation:**

This is not that difficult. But I suggest that you provide answer options.

pls mark brainliest

Simplify completely (7x²+11x-6)/(7x²-10x+3)

One way of simplifying the given expression is by factoring them, and then simplifying the common terms.

So, we need to write:

[tex]\begin{gathered} 7x^{2}+11x-6=7(x-a)(x-b) \\ \text{and} \\ 7x^{2}-10x+3=7(x-c)(x-d) \end{gathered}[/tex]The constants a and b are the zeros of the first expression, and the constants c and d are the zeros of the second expression.

So, we can find those zeros using the quadratic formula. We obtain, for the first expression:

[tex]\begin{gathered} x=\frac{-11\pm\sqrt[]{11^{2}-4(7)(-6)}}{2(7)} \\ \\ x=\frac{-11\pm\sqrt[]{289}}{14} \\ \\ x=\frac{-11\pm17}{14} \\ \\ a=\frac{-11-17}{14}=-2 \\ \\ b=\frac{-11+17}{14}=\frac{6}{14}=\frac{3}{7} \end{gathered}[/tex]And, for the second expression, we obtain:

[tex]\begin{gathered} x=\frac{-(-10)\pm\sqrt[]{(-10)^{2}-4(7)(3)}}{2(7)} \\ \\ x=\frac{10\pm\sqrt[]{16}}{14} \\ \\ x=\frac{10\pm4}{14} \\ \\ c=\frac{10-4}{14}=\frac{6}{14}=\frac{3}{7} \\ \\ d=\frac{10+4}{14}=1 \end{gathered}[/tex]Then, we can write:

[tex]\begin{gathered} 7x^2+11x-6=7(x-(-2))(x-\frac{3}{7})=7(x+2)(x-\frac{3}{7}) \\ \\ 7x^2-10x+3=7(x-\frac{3}{7})(x-1) \end{gathered}[/tex]Thus, the given function can be simplified as follows:

[tex]\frac{7x²+11x-6}{7x²-10x+3}=\frac{7(x+2)(x-\frac{3}{7})}{7(x-\frac{3}{7})(x-1)}=\frac{x+2}{x-1}[/tex]Therefore, the answer is:

[tex]\mathbf{\frac{x+2}{x-1}}[/tex]How do you know when an equation has one solution? A. The coefficients are differentB. The coefficients are the same and the constants are differentC. The coefficients are the same and the constants are same

SOLUTION

Given the question in the question tab, the following are the solution steps to answer the question.

**STEP 1: Define an equation with one solution**

You can tell that an equation has one solution if you solve the equation and get a variable equal to a number. A system of linear equations has one solution when the graphs intersect at a point.

**STEP 2: Examine the options**

An equation is said to have **"no solution"** when the coefficients are the same and the constants are different as seen below:

**When the coefficients are the same and the constants are the same, the equation is said to have "infinitely many solutions as seen below:**

**When the coefficients are different, the equation is said to have one solution as seen below:**

**Hence, the answer is:**

**"When the coefficients are different"**

11. It takes 4 hours to type 8 memos. How long will it take to type 56 memos?

Answer:28

Step-by-step explanation:if the unknown hour is x

then it would be

4hr=8memos

x hr=56 memos

cross multiply that would be

4×56÷8=28

and to check this answer you can find how many hours it would take to write one memo and multiply it by 28(your answer) that would be

x hr=1 memo

4hr =8 memo

cross multiply that would be

8÷4=

and then check it by doing 28 × 2=56

The **time **taken to type 56 **memos **will be 28 hours.

**Expression **in maths is defined as the collection of numbers variables and functions by using signs like addition, **subtraction**, multiplication, and division.

Numbers (constants), **variables**, operations, functions, brackets, punctuation, and grouping can all be represented by **mathematical symbols**, which can also be used to indicate the logical syntax's order of operations and other features.

Given that it takes 4 hours to type 8 memos. The time taken to type 56 memos will be calculated as,

8 memos = 4 hours

56 memos = ( 56 x 4 ) /8

56 memos = 28 hors

Therefore, it will take 28 hours to type 56 memos.

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PLS HELP I HAVE LESS THAN 20 MINUTES!!!!

The statement "Samuel will get **25** or **more** for mowing the** **lawn" can be represented using the **inequality →** **x ≥ 25 **and the **graph number [2] **represents the correct graph.

In mathematics, an inequality is a relation which makes a **non-equal comparison** between two numbers or other **mathematical expressions. **There are two types of **inequalities** namely **strict** and **slack** inequalities.

Given is the following** statement **- "Samuel will get **25** or **more** for mowing the** **lawn".

The **given statement** is -

Samuel will get $**25** or **more** for mowing the** **lawn.

Assume that Samuel gets **$x** for mowing the lawn.

Then according to the question, we can write the **inequality** as -

**x ≥ 25**

**" ≥ "** sign to represent either **25 **or **more**.

So, the inequality can be written as **x ≥ 25** and the **graph number [2] **represents the correct graph.

Therefore, the statement "Samuel will get **25** or **more** for mowing the** **lawn" can be represented using the **inequality →** **x ≥ 25 **and the **graph number [2] **represents the correct graph.

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Bobby can work at most 20 hours next week, but she needs to earn at least $150. Herdog-walking job pays her $6 per hour and her iob as a car wash attendant pays her $10 perhour. If d is the number of hours she walks dogs this week and w is the number of hours sheworks at the car wash, write a system of inequalities that represents Bobby's situation.

**Solution:**

Let **d** represent the number of hours Bobby walks dogs,

and **w** be the number of hours she works at the car wash.

Given that she can work at most 20 hours next week, this implies that the total number of hours she works is expressed as

[tex]d+w\leq20[/tex]If her dog-walking job pays her $6 per hour, this implies that for **d** number of hours, she will earn

and her iob as a car wash attendant pays her $10 per hour, similarly for **w **number of hours, she will earn

Given that she needs to earn at least $150, this implies that her total earnings will be expressed as

[tex]6d+10w\ge150[/tex]**Hence, the system of inequalities that represents Bobby's situation is:**

Write an equivalent expression for (x+2)+(x+2)

We will proceed as follows in order to get an equivalent expression:

[tex](x+2)+(x+2)=(x+x)+(2+2)=2x+4[/tex]So, one equivalent expression is 2x + 4.

What's 2,412 Divided by 25

**Answer:**

96.48

**Step-by-step explanation:**

The answer is 96.48.

**Answer:**

96.48

**Step-by-step explanation:**

2,412 divided by 25 equals 96.48

Which equation is equivalent to −(5−x)=5−x? Responses −5−x=5−x − 5 − x = 5 − x −5+x=5−x − 5 + x = 5 − x 5−x=5−x 5 − x = 5 − x 5+x=5−x

**The equation** is equivalent to −(5−x) = 5−x is -5+x = 5-x

The given equation −(5−x) = 5−x

**The distributive property** states that multiplying the sum of two or more variables by a number gives the same result as when each variable is multiplied individually by the number and the products are added together.

The distributive property of **addition **

A(B+C) = AB + AC

The distributive property of **subtraction**

A(B-C) = AB - AC

The given equation is −(5−x) = 5−x

Apply distributive property in the equation

−(5−x) = 5−x

-5+x = 5-x

Hence, The equation is equivalent to −(5−x) = 5−x is -5+x = 5-x

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Your phone plan charges you an initial fee, and then a certain amount depending on the amount of data you use. They send you periodic updates of your usage andyour current bill cost. After using 3 GB of data you owe $30. After 5 GB of data, you owe $40. What is the initial fee prior to the data usage charge?A.$15B.$5C.$2.50D.$10

If for 3 Gb we get a bill for $30 and for 5 Gb we get a bill of $40. It implies that every Gb costs $5, therefor the equation we have use 3 Gb is

[tex]30=3\cdot5+b[/tex]where b is the initial fee. Solving this for b we get that

[tex]b=30-15=15[/tex]so the initial fee is $15

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Did the black death cause any governments or leaders to make positive changes in europe after the black death outbreak?.
Please answer correctly and explain how you got it please don't have but it would help.
Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day Explain your reasoning. Answer is $178 explain your answer thank you! 40 points if answered correctly!!
What is the carrying capacity of an environment for a population with rmax = 3, that exhibits no population growth when N = 3000?
Two buses leave Dallas at the same time traveling in opposite directions. One bus travels at 59 mph and the other at 54 mph. How soon will they be 791 miles apart?
What disadvantage would be experienced by a person applying for their Social Security benefits at age 62?a.They would be ineligible to receive benefits after they turn 85 years oldb.They would receive only a partial benefit for as long as they collect Social Securityc.They have to complete 120 hours of community service each year until they reach 65 years oldd.They are given full benefits, but can only spend them on food and housing costs
What is x^3 pls help