What is the area of a circle with a diameter of 8 centimeters? Use 3.14 for π.

Answer:

What value of x is in the solution set of 3(x - 4) = 5x + 2?

Solution:

3(x - 4) = 5x + 2 [Given]

Using the distributive law of multiplication on LHS

3x - 12 = 5x + 2

By grouping the similar terms on either sides and solving for x, we get

3x - 5x = 2 + 12

- 2x = 14

Divide both sides by -2 (by division property of equality)

(- 2x/2 )= 14/2

-x = 7

Therefore, the value of x is -7.

Step-by-step explanation:

x+7=10

10-7= x

x = 3

3+7=10

Answer:

x = 3

Explanation:

Subtract 7 from 10.

10 - 7 = 3

Therefore, 3 + 7 = 10

Answer: (-4, -4)

Step-by-step explanation:

Answer:

(x+2)(x+8)=0

therefore if x+2=0

x+2-2=0-2

x=-2

and in standard form -2×10ⁿ where n=0

Answer:

This season

Step-by-step explanation:

Lowest Common Multiple (LCM) of 20 and 25 = 100

10/20 * 5/5 = 50/100 = 5/10

15/25 * 4/4 = 60/100 = 6/10

5/10 < 6/10

Answer:

[tex]686.6 cm^2[/tex]

Step-by-step explanation:

From the volume we can find the surface area of one of the triangle sides, by dividing it by its height. You find out that the surface of the triangle face is [tex]\frac {866}{20}=43.3 cm^2[/tex]. Let's pick two of them since we have two side faces (one close to us in the image, one far away), for a total area of [tex]86.6 cm^2[/tex]. At this point we need to add the area of the rectangular faces, which are three rectangles of length 20 and height 10, for a grand total of [tex]3\times10\times20 = 600 cm^2[/tex].

Adding everything together, we get [tex]600+86.6 = 686.6 cm^2[/tex]

Answer:

c = 686.6

Step-by-step explanation:

A=ah+bh+ch+1/2√﹣a⁴+2(ab)²+2(ac)²﹣b⁴+2(bc)²﹣c⁴

=10·20+10·20+10·20+1/2·√﹣10⁴+2·(10·10)²+2·(10·10)²﹣10⁴+2·(10·10)²﹣10⁴

=686.60254

Answer:

i think its true

Step-by-step explanation:

I searched it up and there's videos on how to solve them so im guessing that it's true if there's ways to determine them.

Answer:

There is 1/2  of 4/5 cup servings in a cup of ice cream.

The length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to [tex]\dfrac{5\pi}{3}[/tex] is 10.5ft.

The length of the arc of a circle is equal to the product of the circumference of the circle and the ratio of the angle made by the arc of the circle to 2π. It is given by the formula,

[tex]\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}[/tex]

It is given that the radius of the circle is equal to 2 ft while the angle made by the arc at the centre of the circle is equal to [tex]\dfrac{5\pi}{3}[/tex]. And we know the formula for the length of the arc, therefore, the length of the arc,

[tex]\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}[/tex]

                            [tex]= 2\pi \times 2 \times \dfrac{\frac{5\pi}{3}}{2\pi}\\\\= 10.471 \approx 10.5\rm\ ft[/tex]

Hence, the length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to [tex]\dfrac{5\pi}{3}[/tex] is 10.5ft.

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Answer:

C or 10.5 ft

Step-by-step explanation:

Answer:

[tex]8 + x = 25 \\ x = 25 - 8 \\ 17[/tex]

[tex] \frac{1}{3} (1632 + x) = 726[/tex]

[tex] \frac{1}{3} (x + 1632) = 726[/tex]

[tex] \frac{1(x + 1632)}{3} = 726[/tex]

[tex] \frac{x + 1632}{3} = 726[/tex]

[tex]3· \frac{x + 1632}{3} = 3·726[/tex]

[tex]x + 1632 = 3·726[/tex]

[tex]x + 1632 = 2178[/tex]

[tex]x + 1632 - 1632 = 2178 - 1632[/tex]

[tex]x =546[/tex]

So, the value of x is 546.

Answer:

A.  [tex]p(x)=7x-2[/tex]

Step-by-step explanation:

Given function:

[tex]y=\dfrac{x+2}{7}[/tex]

Rearrange to make x the subject:

[tex]\implies 7y=x+2[/tex]

[tex]\implies x=7y-2[/tex]

Swap x and y:

[tex]\implies y=7x-2[/tex]

This is the inverse of the original function.

Therefore, the answer is A  [tex]p(x)=7x-2[/tex]

Answer:

gutavas get the best gas mileage

Answer:

10x+70=180

x=11

Step-by-step explanation:

(3x+28)+(5x+52)+(2x-10)=180⁰

3x+28+5x+52+2x-10=180

10x=180-70=110

x=110/10=11

Answer:

If I'm not wrong I belive it would be like this -->

482x5.5x3=$72.3

So your answer would be $72.3!

Simple interest is the amount of interest charged on a given principal at a given rate and for a given period of time.

The interest earned with an investment of $482 at a rate of 5.5% over 3 years is $79.53.

Simple interest is the amount of interest charged on a given principal at a given rate and for a given period of time.

We have,

P = Principal = $482

R = Rate = 5.5%

T = Time = 3 years

The formula for finding the simple interest is given:

SI = (P x R x T) / 100

The amount of interest from a $482 investment at 5.5% over 3 years:

= (482 x 5.5 x 3) / 100

= 7953 / 100

= 79.53

Thus,

The interest earned with an investment of $482 at a rate of 5.5% over 3 years is $79.53.

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Answer:

x = [tex]\frac{y-5t}{5}[/tex]

Step-by-step explanation:

y = 5(t + x) ← distribute parenthesis by 5

y = 5t + 5x ( subtract 5t from both sides )

y - 5t = 5x ( divide both sides by 5 )

[tex]\frac{y-5t}{5}[/tex] = x

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

○ [tex]\displaystyle -6m(m - 4)(m - 6)[/tex]

Step-by-step explanation:

[tex]\displaystyle 6m^3 - 60m^2 + 144m \\ 6m[m^2 - 10m + 24m] \\ \\ \boxed{6m[m - 4][m - 6]}[/tex]

I am joyous to assist you at any time.

We need to find the nature of the roots of the quadratic equation 2x² - 6x + 7 = 0 , and need to find the Discriminant

Now ,as we know that the Discriminant of any quadratic equation of the form ax² + bx + c = 0 , is D = b² - 4ac

So now ;

[tex]{:\implies \quad \sf D=(-6)^{2}-4\times 2\times 7}[/tex]

[tex]{:\implies \quad \sf D=36-56}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Discriminant=-20}}}[/tex]

Now , as D < 0 ,So nature of roots will be imaginary

Answer:

yea what the other guy said

The total of Leiff’s online purchases will be $119.32.Option d is correct.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

If the video game's original price is $128 and the discount is 15%, then Leiff paid (100-15) = 85% of the original price for the item.

Consequently, the video game's price is as follows:

(0.85 x 128) = $108.80.

Leif must contribute an additional 5.3% of the new price, so

(100 + 5.3) = 105.3% of the new price

= (1.053 x 108.8) = $114.57

Including the video game's shipping cost,

114.57 + 4.75 = $119.32

Thus, the total price is $119.32

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Answer:$24.80

Step-by-step explanation:

Answer:

3(3x - 2y)

Step-by-step explanation:

9x - 6y

Factor out 3 from the expression

3(3x - 2y)

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY

Answer: 1130 grams.

Step-by-step explanation:

She has 1130 grams remaining after converting 1.6kg to grams (160 0grams).

Answer:

Step-by-step explanation:

convert into grams

multiply 1000 by 1.6

Now substract 470g from it

subtract 470 from 1600

convert the g back into kg

divide 1130 by 1000

Using simple interest, it is found that the monthly payments are of $854.875.

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem, the parameters are A(0) = 49000, r = 0.0665, t = 7, hence the total amount is of:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]A(t) = 49000[1 + 0.0665(7)][/tex]

[tex]A(t) = 71809.5[/tex]

Payments over a period of 12 x 7 = 84 months, hence the monthly payments are of:

71809.5/84 = $854.875.

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Answer:

r = [tex]\frac{A-P}{Pt}[/tex]

Step-by-step explanation:

Step 1: Subtract P from both sides.

Step 2: Divide both sides by Pt.

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

Explanation:

I'll be using x in place of t

The equation given is y = -4.9x^2 + 19.8x + 58

It is of the form y = ax^2 + bx + c which is the standard form for quadratics.

We have,

Plug the first two values into the equation below

h = -b/(2a)

h = -19.8/(2*(-4.9))

h = 2.0204081632653

That value is approximate.

Rounding to the nearest whole number gets us roughly h = 2

Recall that (h,k) is the vertex of the parabola. In this case, it's the highest point. The cannonball reaches the highest point at roughly 2 seconds.

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

Extra side notes:

Answer: 82

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We can first eliminate options A and B because they are both negative slopes and the graph shown is an increasing slope, meaning the answer is positive.

Next, we calculate the slope with the formula (y2 - y1) / (x2 - x1) to get 1/4.

1/4 is the slope.

Answer:

$3.63

Step-by-step explanation:

because at first ally had 18.25 dollars. she got 2.45 dollars more, then spent $2.55. later, after spending the money, she gave 1/5 of the money to her mom.

(18.25+2.45-2.55)*1/5

=3.63

sorry but the digits after 18 are unclear. are they singular or going together in 2s or is it one big number?