The radius of a circle is 3 m. Find its area to the nearest tenth

Answer:

An example below

Step-by-step explanation:

5(4a + 7(a + 2b))

First simply the inside bracket using distributive property:

7(a + 2b)

7(a) + 7(2b)

7a + 14b

5(4a + 7a + 14b)

5(11a + 14b)

Use distributive property again

5(11a) + 5(14b)

55a + 70b

Answer:

x= -2

Step-by-step explanation:

An example could be

10 ( x+2) + 3(x+4) = 6(x+3)

Distribute

10x+20 +3x+12 = 6x+18

Combine like terms

13x +32 = 6x+18

Subtract 6x from each side

13x-6x +32 = 6x-6x+18

7x +32 = 18

Subtract 32 from each side

7x +32-32 = 18-32

7x =-14

Divide by 7

7x/7 = -14/7

x = -2

Answer:

T= -5.74

Step-by-step explanation:

Answer:

Domain = x E R

Step-by-step explanation:

Since an exponential function has no restriction on the "x" value, its domain can range from anywhere on the plane of "x."

Answer:

1. -x²-15x-1

2. -33x⁷+10x⁶-14x⁵+4x⁴+11x²-5x+32

Step-by-step explanation:

-20x^2+5x+17 - (-19x^2+20x+18)

-20x² + 19x² + 5x - 20x + 17 - 18

-x² - 15x - 1

-20x^7+10x^6-5x+15 - (13x^7+14x^5-4x^4-11x^2-17)

-20x⁷ - 13x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 15 + 17

-33x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 32

Answer:

1. -x^2 - 15x - 1

2. -33x^7 + 10x^6  - 14x^5 + 4x^4 + 11x^2 - 5x + 32

Step-by-step explanation:

Problem 1.

How much greater is -20x^2 + 5x + 17 than -19x^2 + 20x + 18

Problem 1. Solution:

Subtract the second polynomial from the first polynomial.

-20x^2 + 5x + 17 - (-19x^2 + 20x + 18) =

To simplify the parentheses, think of the negative sign left of the parentheses as the number -1, and distribute it using the distributive property.

= -20x^2 + 5x + 17 -1(-19x^2 + 20x + 18)

We multiply -1 by each term in the parentheses.

= -20x^2 + 5x + 17 + 19x^2 - 20x - 18

Now we combine like terms. First, group each set of like terms together.

= -20x^2 + 19x^2 + 5x - 20x + 17 - 18

Now combine like terms.

= -x^2 - 15x - 1

Answer to Problem 1.: -x^2 - 15x - 1

Problem 2.

How much greater is -20x^7 + 10x^6 - 5x + 15 than 13x^7 + 14x^5 -4x^4 -11x^2 - 17

Problem 2. Solution:

Subtract the second polynomial from the first polynomial.

-20x^7 + 10x^6 - 5x + 15 - (13x^7 + 14x^5 - 4x^4 - 11x^2 - 17) =

To simplify the parentheses, think of the negative sign left of the parentheses as the number -1, and distribute it using the distributive property.

= -20x^7 + 10x^6 - 5x + 15 -1(13x^7 + 14x^5 - 4x^4 - 11x^2 - 17)

We multiply -1 by each term in the parentheses.

= -20x^7 + 10x^6 - 5x + 15 - 13x^7 - 14x^5 + 4x^4 + 11x^2 + 17

Now we combine like terms. First, group each set of like terms together.

= -20x^7 - 13x^7 + 10x^6 - 14x^5 + 4x^4 + 11x^2 - 5x + 15 + 17

Now combine like terms.

= -33x^7 + 10x^6  - 14x^5 + 4x^4 + 11x^2 - 5x + 32

Answer to Problem 2.: -33x^7 + 10x^6  - 14x^5 + 4x^4 + 11x^2 - 5x + 32

Answer:

the answer is 18

Step-by-step explanation:

Answer:

Therefore 2000 units are sold when $1000 is spent on advertising.

Step-by-step explanation:

Given that,

The equation of a model for consumer's response to advertising is

N(a)=2000+500 ln(a)

where a is the amount spent on advertising, in thousand of dollars and a≥1,N(a) is the amount of units sold.

$1000 is spent on advertising.

Since a is in thousand of dollars.

∴a=1

Now plug a=1 in the given model

N(a)=2000+500 ln(1)

⇒N(a)=2000+500×0       [ ∵ln(1)=0 ]

⇒N(a) = 2000

Therefore 2000 units are sold when $1000 is spent on advertising.

Hey! I hope this helps!

2x + 4 = 3x+ (-1)

Option D)

We are given the following in the question:

Let x represent Kim's age

"Bob is 4 years older than twice Kim's age"

Thus, Bob's age =

4 + 2x years

"Paul is 1 year younger than 3 times Kim's age."

Thus. Paul's age is

(3x - 1) years

If Bob's age and Paul's age is equal, we can write:

2x + 4 = 3x + (-1)

Thus, the required expression is

Option D)

The equation can be used to determine Kim’s age will be 2x + 4 = 3x + (–1). Then the correct option is D.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Use the information to write an equation with variables on both sides. Let x represent Kim’s age.

Bob is 4 years older than twice Kim’s age. Then the age of the Bob will be in terms of x.

B = 2x + 4

Paul is 1 year younger than 3 times Kim's age. Then the age of the Paul will be in terms of x.

P = 3x – 1

Bob and Paul are the same age.

B = P

Put the value of B and P, then we have the equation will be

2x + 4 = 3x – 1

2x + 4 = 3x + (–1)

Then the correct option is D.

More about the linear system link is given below.

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Answer:

(D)Quadrant IV

Step-by-step explanation:

Given the angle -405

[tex]-405^0=-360^0-45^0\\-45^0=-45^0+360=315^0[/tex]

Angle 315 degrees is in Quadrant IV [tex](270\leq x\leq 360)[/tex], therefore:

Angle -405 degrees is in Quadrant IV.

Answer: its DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

The equation a = 100 + 75d represents Maria's  account balance.

Step-by-step explanation:

Given that,

You need to find the equation to represent Maria's  account balance, a after she has  completed d deposits.

Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.

To find the amount that was deposited after the initial deposit :

⇒ $75 × number of times Maria deposited.

⇒ 75 × d

The equation is written as,

⇒ a = 100 + 75d

Hence the equation a = 100 + 75d represents Maria's  account balance.

Answer:

B

Step-by-step explanation:

The volume of a square pyramid can be found using:

v=1/3 bh

Where b is the area of the base, and h is the height

First, let's find the area of the base

a=l*l

We know the length is 5, so we can substitute it in

a=5*5

a=25

Now we know b(area), is 25, and we know the volume is 75, so we can substitute them in

v=1/3 bh

75=1/3(25)h

Divide both sides by 1/3, or multiply both sides by the reciprocal, 3/1

225=25h

Divide both sides by 25

h=9

So, the height is 9 feet , or choice B

Answer:

The length of the model is 12.4.

Step-by-step explanation:

2in=25ft

x=155ft

155/25=6.2

2*6.2=12.4

Answer:

In step 2 Cyrus make an error.

Step-by-step explanation:

Given : Expression [tex]\frac{1}{3}(x-1)^2=12[/tex]

To find : In which step did Cyrus make an error?

Solution :

Expression [tex]\frac{1}{3}(x-1)^2=12[/tex]

Step 1 - [tex](x-1)^2=36[/tex]

Step 2 - [tex]x-1=6[/tex]

Step 3 - [tex]x=7[/tex]

There is a mistake in step 2,

As we are taking root both side so RHS value is +6 and -6.

So that there are two solutions of the equation.

Correct steps are,

Step 2 - [tex]x-1=6,-6[/tex]

Step 3 - [tex]x=7,-5[/tex]

Therefore, In step 2 Cyrus make an error.

Answer is step 2

Step-by-step explanation:

Answer:

mean = 24

Step-by-step explanation:

In a stem-and-leaf plot, each leaf represents a number or piece of data.

Each the leaf will only show the last digit of the number, and the stem will have the rest.

Examples:

stem value of 1 with a leaf value of 2 = 12

a stem value of 3 with a leaf value of 0 = 30

So, this is your plot:

Stems| Leaves

  1      |   2  3  5

  2     |   8  8

  3     |   0

  4     |   2

Your data is 12, 13, 15, 28, 28, 30, 42.

Add up all these numbers and divide by the number of leaves.

Sum of data = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

Number of leaves = 7

168 ÷ 7 = 24

∴ The mean is the values in the stem-and-leaf plot is 24.

Answer:

C - 9 cm

Step-by-step explanation:

We can use the Pythagorean theorem to figure out the missing side length, in this case, X.

The Pythagorean theorem states: a^2 + b^2 = c^2, with c being the hypotenuse. We have the side length of the hypotenuse which is 15, and we have another side length of 12. Let's put these back in our equation:

a^2 + 12^2 = 15^2;

If we simplify the squares by simply doing them: a^2 + 144 = 225;

Now let's subtract 144 from both sides to isolate the variable, a:

a^2 = 81;

Now we square both sides to find a:

a = 9

The missing side length is 9 cm.

Answer:

- 1364

Step-by-step explanation:

The n th term of a geometric series is

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

4[tex](-2)^{n-1}[/tex] ← is an n th term

with a = 4 and r = - 2

The sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex], thus

[tex]S_{10}[/tex] = [tex]\frac{4((-2)^{10}-1) }{-2-1}[/tex]

      = [tex]\frac{4(1024-1)}{-2-1}[/tex]

      = [tex]\frac{4(1023)}{-3}[/tex]

      = [tex]\frac{4092}{-3}[/tex]

      = - 1364

The given function f(x) = -3(x-2)^2 + 14 is a quadratic equation shown in vertex form. To find an equivalent equation in standard form or solve for its roots, one can expand and simplify or use the quadratic formula with the appropriate coefficients.

The equation f(x) = -3(x-2)^2 + 14 is a quadratic equation in vertex form. In standard form, a quadratic equation is represented as at^2 + bt + c = 0. To express f(x) in this standard form, we simply need to expand the squared term and simplify. The given equation already shows that the parabola has been reflected vertically due to the negative sign before the coefficient of the squared term, and it is shifted 2 units to the right and 14 units up from the origin.

Transformations of the independent variable such as multiplying by a constant or adding a number, like in f(2x) or f(-2x), will affect the graph of the quadratic function. They result in horizontal scaling or reflection, while transformations like f{-2(x+1)} involve horizontal shifting.

To solve a quadratic equation that is set equal to zero, we can use the quadratic formula, which employs the coefficients a, b, and c. As an example, for a quadratic equation with constants a = 4.90, b = 14.3, and c = -20.0, the roots can be found through this formula.

Answer:

Step-by-step explanation:

True.

True.  The sum of all interior angles = 180

Can't tell from info given.  

Can't tell from info given.

Can't tell from info given.

Answer:

A and B or the first two

Step-by-step explanation:

what she saying is true so that means that it is A and B

Answer:

Footsteps

Step-by-step explanation:

Answer:

Footsteps.

Step-by-step explanation:

You walk more and more and eventually those footsteps from previous are left behind.

(My dad told me this as a moral lesson when I was young.)

P.S

Have a Amazing Day!

Faker/Tosrel

Answer:

98-76+54+3+21=100

Step-by-step explanation:

Possible Variants are:

[tex]98 - 76 + 54 + 3 + 21 = 100\\9 - 8 + 76 + 54 - 32 + 1 = 100\\98 + 7 + 6 - 5 - 4 - 3 + 2 - 1 = 100\\98 - 7 - 6 - 5 - 4 + 3 + 21 = 100\\9 - 8 + 76 - 5 + 4 + 3 + 21 = 100\\98 - 7 + 6 + 5 + 4 - 3 - 2 - 1 = 100\\98 + 7 - 6 + 5 - 4 + 3 - 2 - 1 = 100[/tex]

[tex]98 + 7 - 6 + 5 - 4 - 3 + 2 + 1 = 100\\98 - 7 + 6 + 5 - 4 + 3 - 2 + 1 = 100\\98 - 7 + 6 - 5 + 4 + 3 + 2 - 1 = 100\\98 + 7 - 6 - 5 + 4 + 3 - 2 + 1 = 100\\98 - 7 - 6 + 5 + 4 + 3 + 2 + 1 = 100\\9 + 8 + 76 + 5 + 4 - 3 + 2 - 1 = 100\\9 + 8 + 76 + 5 - 4 + 3 + 2 + 1 = 100\\9 - 8 + 7 + 65 - 4 + 32 - 1 = 100\\[/tex]

From:

98-76+54+3+21=100

The least number of plus and minuses needed to make 100 are 1 and 3 respectively.

The least number of pluses and minuses needed to arrange the numbers 9 8 7 6 5 4 3 2 1 to equal 100 is four. A valid combination resulting in 100 is 98 - 7 + 65 + 43 - 21 which uses two minuses and two pluses.

Your question asks how many pluses and minuses can be inserted in the string 9 8 7 6 5 4 3 2 1 without altering its order to make 100. An interesting mathematical challenge problem indeed!

Remember, this question pertains to arithmetic operations of addition (+) and subtraction (-). A possible solution can be 98 - 7 + 65 + 43 - 21. This results in 100 with four total operations interspersed (two minuses and two pluses).

By using the arithmetic operations strategically, the least number of pluses and minuses (total four) you need to yield 100 is produced. Hence, this combination of digits and operators achieve the intended sum balancing positive and negative values.

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Answer:

D. 176

Step-by-step explanation:

segment the shape into two rectangles

(4 + 2) * (5 - 2) * 8 = 144

(2) * (2) * 8 = 32

144 + 32 = 176

The treat would cost 7 cents of your 49

Answer:

P = 9k + 36

Step-by-step explanation:

Assuming these are the following sides

3k+5. 2k+16 4k+15

To find the perimeter we add the sides

P = 3k+5+ 2k+16+ 4k+15

Combine like terms

P = 9k + 36

Answer:

The area of each of the bases will be m2 answer; (1)(3)=3

The area of the right and left lateral faces will be m2. answer; (1)(2)=2

The area of the front and back lateral faces will be m2. answer; (2)(3)=6

The lateral area of the prism will be m2. answer ; 16

Step-by-step explanation:

Area of each bases = 3 m²

Area of the right and left lateral faces = 2 m²

Area of the front and back lateral faces = 6 m²

Lateral area = 16 m²

Surface area of the rectangular prism = 22 m²

Lateral area = 2(l + w)h

Surfacea area = 2(wl+hl+hw)

We are given a rectangular prism that has the following dimensions:

Length (l) = 1 m

Width (w) = 3 m

Height (h) = 2 m

Area of each bases = l × w = 1 × 3 = 3 m²

Area of the right and left lateral faces = 1 × 2 = 2 m²

Area of the front and back lateral faces = 2 × 3 = 6 m²

Lateral area of the rectangular prism = 2(l + w)h = 2(1 + 3)2 = 16 m²

Surface area of the rectangular prism = 2(wl+hl+hw) = 2(3 × 1 + 2 × 1 + 2 × 3) = 22 m²

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Answer:

2:35

2:47

2:53 etc

Step-by-step explanation:

Since she started or commenced painting at exactly 2:32 and finished painting before 3:00 ,

She could have finished painting 3 minutes later which is 2:35

She could have finished painting 15 minutes later ,which is 2:47

She could have finished painting 21 minutes later which is 2:53 etc

Just make sure you don't write anything that exceeds 3:00 which is about 28 minutes from the time she commenced painting.

Answer:

There are 90 hamburgers and 87 hot dogs

Step-by-step explanation:

Answer:

interquartile range

range

variance

These are all different ways to find the spread

The spread in math refers to measures like the range, standard deviation, and variance, which estimate the variability within a dataset. The standard deviation and variance provide insights into the dispersion of data points around the mean, while the range shows the overall spread between the highest and lowest values.

Understanding Measures of Spread in Mathematics

To find the spread in math, we consider several different statistics that measure variability or dispersion within a set of data. There are three common measures of spread:

An alternative measure, the Interquartile Range (IQR), measures the spread within the middle 50 percent of data and can be estimated from a box plot. When examining distributions like scores in a class, comparing the observed distribution to a theoretical one such as the normal distribution can reveal insights into the probabilities surrounding different ranges of scores.

To perform these calculations accurately, tools such as graphing calculators, statistical software, and probability tables can be used. These resources help to visualize data (e.g., creating a box plot) and calculate statistical values, offering a clear view of the data's distribution and spread.

Answer:

A)8

Step-by-step explanation:

10 percentage is 4 (to get this you have to do 40/10)

so 20 percentage is 8 (4*2)

Answer: 8

Multiply 20%×40 and get 8

Simplify the expression.

Answer:

Last month

Step-by-step explanation:

Just look at the numbers.

The first number is (167.94 + 21.41) / 7 and the second number is (77.23 + 6.49) / 7. We see that they both have the denominator of 7, so we can just focus on comparing the numerators.

Look at 167.94 + 21.41. Clearly, 167.94 is bigger than 77.23 from the second number. We also see that 21.41 is clearly bigger than 6.49. If both numbers of the first number are bigger than both numbers from the second number, we know that the sum of the first two numbers will be bigger than the second sum.

Thus, the bigger the numerator, the bigger the amount paid, even including the dividing 7 at the end.

Thus, last month, the students had to pay more.

Hope this helps!

Answer:

Last

Step-by-step explanation:

Values being added are greater in last month as compared to this month

Answer: y=-4x+8

Step-by-step explanation: