4 * 80 * 0 * 0 * 0 * 0 * 0

Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

Pls brainliest...

\(\red{➤}\:\)\(\sf f(x) = 2x^3-5x^2-3x \)

\(\red{➤}\:\)\(\sf g(x)=x\)

\(\\\)

\(\orange{☛}\:\)\(\sf h(x) \)

\(\\\)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf h(x) =f(x)÷g(x) \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf \dfrac{f(x)}{g(x)}= \dfrac{2x^3-5x^2-3x}{x} \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf \dfrac{x(2x^2-5x-3)}{x} \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf 2x^2-5x-3 \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf{h(x)= 2x^2-5x-3}} \\\end{gathered} \)

Answer:

DE

Step-by-step explanation:

You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.

Answer:

105 days

Step-by-step explanation:

30 divided by 8 to get the rate which equals 3.75

28*3.75= 105 days

Answer:

3261.16

Step-by-step explanation:

r=8.6\%=0.086

r=8.6%=0.086

Move decimal over two places

P=1380

P=1380

Given as the pricipal

t=10

t=10

Given as the time

V=Pe^{rt}

V=Pe

rt

V=1380e^{0.086( 10)}

V=1380e

0.086(10)

Plug in

V=1380e^{0.86}

V=1380e

0.86

Multiply

V=3261.1618\approx 3261.16

V=3261.1618≈3261.16

Answer: Get into y=mx+b form by adding 2 to each side. Graph from there.

Step-by-step explanation:

1. My Russian is a bit rusty. I think you're asking to find the antiderivatives in the first part:

а) \(\displaystyle \int 2x^n - 5x \, dx = \boxed{\frac2{n+1} x^{n+1} - \frac52 x^2 + C}\)

This follows from the power rule for differentiation,

\(\dfrac d{dx} x^n = n x^{n-1}\)

I'm not sure what the power on the first term is, so I just use a general real number n. This solution is correct as long as n ≠ -1; otherwise we would have

\(\displaystyle \int 2x^{-1} - 5x = 2\ln|x| - \frac52 x^2 + C\)

б) Using the fact that

\(\dfrac d{dx} \sin(x) = \cos(x)\)

as well as the power rule from part (a),

\(\displaystyle \int 3 \cos(x) - x \, dx = \boxed{3 \sin(x) - \frac12 x^2 + C}\)

в) By the chain rule,

\(\dfrac d{dx} \sin(5x) = 5 \cos(5x)\)

\(\dfrac d{dx} \cos(3x) = -3 \sin(3x)\)

Hence

\(\displaystyle \int \cos(5x) - \frac16 \sin(3x) \, dx = \boxed{\frac15 \sin(5x) + \frac1{18} \cos(3x) + C}\)

2. These just look like standard definite integrals. Using the known derivatives mentioned in part (1) in conjunction with the fundamental theorem of calculus, we have

a)

\(\displaystyle \int_0^1 x^2 \, dx = \frac13 x^3 \bigg|_{x=0}^{x=1} = \frac13 (1^3 - 0^3) = \boxed{\frac13}\)

б)

\(\displaystyle \int_0^{\frac\pi2} \sin(x) \, dx = -\cos(x) \bigg|_{x=0}^{x=\frac\pi2} = -\left(\cos\left(\frac\pi2\right) - \cos(0)\right) = \boxed{1}\)

From the graph drawn above, we can see the relationship between the flower arrangements and the cost of ordering each of them.

On the x axis you have the number of orders,and on the y axis you have the cost of each order. Each flower arrangement costs $5, and the cost of fare is $10. That means the cost for each order would shown as follows;

1 order = 5 + 10 (15)

2 orders = 10 + 10 (20)

3 orders = 15 + 10 (25)

4 orders = 20 + 10 (30)

5 orders = 25 + 10 (35)

6 orders = 30 + 10 (40)

7 orders = 35 + 10 (45)

8 orders = 40 + 10 (50)

Therefore, the ordered pair for this graph is as follows;

(1, 15), (2, 20), (3, 25), (4, 30), (5, 35), (6, 40), (7, 45), (8, 50)

That is, when x = 1, y = 15, when x = 2, y = 20..., and so on.

Answer:

52.9

??

Step-by-step explanation:

Answer:

\( |d| = \sqrt{ {( - 6 - ( - 3))}^{2} + {( - 4 - ( - 4))}^{2} } \\ = \sqrt{ {( - 3)}^{2} + {0}^{2} } = \sqrt{9} \\ |d| = 3\)

\(\large{\rm{\underline{\underline{Answer:}}}}\)

For two given points, (x1,y1) and (x2, y2) the distance between the points can be calculated by,

Distance formula,

d=√((x2 - x1)²+(y2 - y1)²

Given points,

(x1, y1) = (-4, -3)

(x2, y2) = (-4, -6)

Put the values,

d = √(-4 + 4)² + (-6 + 3)²

d = √ 0 + (-3)²

d = √9

d = \( \pm\) 3

But distance is always positive. Hence, the distance between the pair of points. (-4,-3) and (-4,-6) is 3 units.

Answer:

\(y = - \frac{1}{2} x + \frac{5}{2 } \\ y = \: x ( - \frac{1}{2}) + \frac{5}{2} \\ y = - \frac{6}{2} x \\ y = - 3x \\ \frac{y}{3} = x\)

Answers:

36 individual black socks

38 individual white socks

Check: 36+38 = 74 total individual socks

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

Work Shown:

b = number of pairs of black socks

w = number of pairs of white socks

w = b+1 since he has 1 more pair of white socks compared to black socks

2b = number of individual black socks

2w = number of individual white socks

2b+2w = total number of individual socks

2b+2w = 74

2b+2(b+1) = 74 .... plug in w = b+1

2b+2b+2 = 74 ... distribute

4b+2 = 74

4b = 74-2 .... subtracting 2 from both sides

4b = 72

b = 72/4 ... dividing both sides by 4

b = 18 is the number of pairs of black socks he has

2b = 2*18 = 36 is the number of individual black socks he has

w = b+1 = 18+1 = 19 is the number of pairs of white socks he has

2w = 2*19 = 38 is the number of individual white socks he has

2b+2w = 36+38 = 74 individual socks overall

Answer:

40kg

Explanation:

a=2m/s^

f=20N

M=?

we know

f=m*a

or, 20=m*2

or, 2m=20

or, m= 20/2

:. m=10 kg

Finding the ratio of

a)1:9

b)2 : 7

c) 2 : 5

What is Ratio?

A ratio indicates how often one number contains another number. For example, if a fruit bowl contains 8 oranges and 6 lemons, the ratio of oranges to lemons is 8 to 6. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to whole fruit is 8:14.

Given,

Total no. of students =  42

a) Students who prefer punk to students who prefer hip-hop

  No. of students in punk = 2

  No. of students in hip-hop = 18

The Ratio will be,

punk : hip-hop = 2:18

                        = 1:9

b) Students who prefer rock to total no. of students that are surveyed

No. of students in rock = 12

Total no. of students =  42

The Ratio will be,

rock : total students = 12 : 42

                                 = 2 : 7

c) Students who prefer rock or classic rock to students who prefer all music

No. of students in rock = 12

Total no. of students who likes other music =  42 - 12

                                                                        = 30

The Ratio will be,

rock : total students with different music = 12 : 30

                                                                    = 2 : 5

Hence, The ratio comparison in three different way

a)1:9

b)2 : 7

c) 2 : 5

To learn more about Ratio click on the link

https://brainly.com/question/2914376

#SPJ13

Solution:

Given:

A circular field with a radius of 70-foot

To find the area watered by the irrigation system, since the field is circular, we use the area of a circle.

The area of a circle is given by;

Hence,

Therefore, the exact area watered by the irrigation system is;

Answer:

4,900 (pie symbol)

Step-by-step explanation:

70x70

\(Elsa:y_1=70x+180\)

\(brian,y_2=100x\)

\(Rnown\ by\ the\ topic,\)

\(Assuming\ that\ the\ Elsa\ amount\ of\ money\ is\ y_1,\)

\(Brian's\ amount\ of\ money\ is\ y_2\)

\(so,y_1=70x+180\)

\(\{put\ in\ \$70\ per\ month,\ storting\ amount\ of\)

\(y_2=100x\)

\(\{\ put\ in\ \&\ 100\ per\ month,\ no\ starting\ emount\)

\(\{\$70,\ \$100\ are\ monthly\ voriation,\)

\(\$180\ is\ fixed\ value?\)

I hope this helps you

:)

Answer:

$20.49

Step-by-step explanation:

8% = 8/100 = 0.08

Therefore, 8% of 18.97 = 0.08 x 18.97 = 1.5176

So the total price = 18.97 + 1.5176 = 20.4878 = $20.49

Alternatively,

108% = 108/100 = 1.08

18.97 x 1.08 = 20.4878

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

Answer:

1.6 liters

Explanation:

400x4=1600

1000ml=1l

1600/1000=1.6

Answer:

the answer is x=3 for the question

The number is 48.

Let's represent the two-digit number as 10x + y, where x is the tens digit and y is the units digit.

According to the given information, the units digit is twice the tens digit. So we have the equation:

y = 2x

If the number is doubled, it will be 12 more than the number reversed. When we double the number, we get 2(10x + y), and the number reversed is 10y + x.

Therefore, we can write the equation as:

2(10x + y) = 10y + x + 12

Simplifying this equation, we get:

20x + 2y = 10y + x + 12

19x = 8y + 12

19x - 8y = 12

We have two equations now:

y = 2x

19x - 8y = 12

Substituting the value of y from the first equation into the second equation, we get:

19x - 8(2x) = 12

19x - 16x = 12

3x = 12

x = 4

Now we can substitute the value of x back into the first equation to find y:

y = 2x

y = 2(4)

y = 8

For similar question on equation.

https://brainly.com/question/25976025  

#SPJ8

Answer:

28.07°

Step-by-step explanation:

use SohCahToa

in this case we use tan^-1 to get the angle x°

tan^-1(8/15)=28.07248694

to the nearest hundredth

=28.07°

Answer:

1020m = 1.02km

Step-by-step explanation:

Speed of sound is about 340m/s.

it takes 3s for the sound to reach the ear of the spectator, thus the sound-source is 340 * 3m ( 1020m ) away.

Answer: B. M= 6

Step-by-step explanation:

4(6-1)-5=2(6)+3

The first part of the equation, 4(6-1)-5, 6-1 is 5 and then you multiply that 5 by 4 and get 20, and subtract 5 from 20 and get 15. The second part, 2(6)+3, 6 x 2 is 12 and then you add 3 which equals 15. 15=15 so the answer is correct

Answer:

a) Interest earned = $300

b) balance = $1800

Step-by-step explanation:

a) I = Prt

P = $1500

r = 0.04

t = 5yrs

Substitute

I = ($1500)(0.04)(5)

Multiply

I = $300

b) balance = previous + interest earned

balance = $1500 + $300 = $1800

The account amounts to $1800 at 4% simple interest for 5 years.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, An account earns simple annual interest $1500 at 4% for 5 years.

∴ P = $1500, r = 4%, t = 5 years.

So, SI = (1500×4×5)/100.

SI = 15×20.

SI = $300.

So, The total amount after 5 years at 4% simple interest is $(1500+300).

= $1800.

learn more about simple interests here :

https://brainly.com/question/11564235

#S{J2

Answer:

Yearly budget= $3840

Monthly budget= $320

Step-by-step explanation:

His budget will be calculated first by rounding off to the nearest$10 all his monthly spending.

For groceries= $176.47

Round off=$ 180.00

For phone =$ 78.66

Round off = $80.00

For gas = $62.37

Round off= $60.00

His total round off = $180+$80+$60

His total round off = $320

Before the round off, his total spending was $176.47+$78.66+$62.37

= $317.5

So his monthly budget should be $320

And yearly budget =$ 320*12

Yearly budget= $3840

Answer:

We start by calculating the discount amount for the extra 60% off with code SALE:

$29.99 * 60% = $17.99

Then we calculate the new price of the jeans after applying the discount:

$29.99 - $17.99 = $12

Next, we calculate the sales tax of 10.25% for the discounted price:

$12 * 10.25% = $1.23

Finally, we add the sales tax to the discounted price to find the final price:

$12 + $1.23 = $13.23

So the total cost of the jeans, with the extra 60% off code and sales tax of 10.25% included, would be $13.23.

The two equations of a system that can be used to find the ages of both girls are y - x = 6 and 3x - y = 0.

A group of two or more equations that must be solved all at once is known as a system of equations. The objective is to determine the values of the variables that make both equations true in a system of two equations with two variables. These numbers represent the system of equations' answer. There are several ways to solve a system of equations, including substitution, elimination, and graphing. They are used to simulate and resolve issues in many branches of mathematics, science, engineering, and other disciplines.

Let us suppose the age of Celine = x.

Let us suppose the age of Cindy = y.

Given that, Celine is 6 years younger than her sister Cindy.

x = y - 6

She is also one third as old as Cindy.

x = 1/3y or y = 3x.

Substitute the value of y in equation 1:

x = 3x - 6

6 = 2x

x = 3

Substitute the value of x:

y = 3(3) = 9

Hence, the two equations that can be used to find the ages of  both girls are y - x = 6 and 3x - y = 0.

Learn more about equations here:

https://brainly.com/question/17120105

#SPJ1

The weight of the gem is 0.92 carat.

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables receive this name because, in an experiment, their values are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Here,

Weight is x (independent variable)

Cost is y (dependent variable)

slope is (4375-3543)/(0.6-0.4)=832/0.2=$4160 /carat

Point slope formula y-y₁=m(x-x₁), where m slope and (x₁,y₁) point

y-4375=4160(x-0.6)

y-4375=4160x-2496

a) y=4160x+1879

b) y=4160(0.73)+1879=3036.80+1879=$4915.80

c) For every increase of 1 carat, the price increases $4160.

d)5706.20=4160x+1879

3827.2=4160x

x=0.92 carats

Therefore, the weight of the gem is 0.92 carat.

Learn more about the independent variable here:

brainly.com/question/29430246.

#SPJ1

Answer: w(10) = -12

Step-by-step explanation:

w(n) = -n - 2; Find w(10)

w(10) = -(10) - 2

w(10) = -10 - 2

w(10) = -12