Jonathan decides to go to an arcade  Play some games. He sets a limit of $35 that he will spend 

Answer: -81

Step-by-step explanation:

Let x = the car moving towards west = 30

Let y = truck moving towards north = 40

dx/dt = -55

dy/dt = -60

We the use Pythagoras theorem to solve further where,

s² = x² + y²

s² = 30² + 40²

s² = 900 + 1600

s² = 2500

s =✓2500

s = 50

We then differentiate with respect to t, then we will have:

s² = x² + y²

2s ds/dt = 2x ds/dt + 2y dy/dt

50 ds/dt = (30 × -55) + (40 × -60)

50 ds/dt = -1650 - 2400

50 ds/dt = - 4050

ds/dt = -4050/50

ds/dt = -81

Answer:

600.006 would be the answer

Answer:

sorry type it out

Step-by-step explanation:

9514 1404 393

Answer:

  [tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]

Step-by-step explanation:

We notice that the denominator of each term is the square of the term number, so the last term must be the 20th. The sum is then ...

  [tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]

9514 1404 393

Answer:

  101 feet

Step-by-step explanation:

Multiply the number of boards by the length of the boards, and add the products.

  2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101

The total length of the boards is 101 feet.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]y - 9 = \frac{1}{5} (x - 2) \\ [/tex]

[tex]y - 9 = \frac{1}{5} x - \frac{2}{5} \\ [/tex]

Add sides 9

[tex]y -9 + 9 = \frac{1}{5} x - 0.4 + 9 \\ [/tex]

[tex]y = \frac{1}{5} x + 8.6 \\ [/tex]

[tex]y = \frac{1}{5} x + \frac{43}{5} \\ [/tex]

This is the slope-intercept form.

The coefficient of x is the slope of the line in slope-intercept form of the linear functions.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ,

Slope = 1 / 5

And the correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Step-by-step explanation:

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Answer:

5/3

Step-by-step explanation:

Answer: If you meant this as a fraction then your answer will be -1 2/3 or -5/3... But if you didn't mean the slash mark before the -3 then your answer will be 2.

Hope this helps... Stay safe and have a great day!!! :D

Answer:

i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!

Step-by-step explanation:

Answer:

whith whut

Step-by-step explanation:

Answer:

$7.20

Step-by-step explanation:

Chocolate chip pancake mix is $2/lb, and you need 3 pounds. 2 x 3 = 6, so it the mix will cost $6.

Buttermilk pancake mix is $3/lb. You need 1/10 of a pound, so divide 3 by 10. When you divide a number by 10, move the decimal one place to the left. That means there is an extra 0 in front of the 3, so the price is $0.30.

Plain pancake mix is $1/lb. You need 9/10 of a pound. 9/10 of 1 is 0.9, so it will cost $0.90.

Add the prices together, and you have $7.20.

Answer:

(-infinity, infinity)

Step-by-step explanation:

You’re welcome, sorry I couldn't out the symbols. I don't have them on my keyboard :).

Answer:

R (all real numbers)

R (all real numbers)

Step-by-step explanation:

Answer:

7 meters

Step-by-step explanation:

Kai is 13 blocks from home. Jack is a greater distance away.

In this statement, 13 would represent the distance Kai is from home.... x would equal how much further away Jack is.

Hope this helps!!! Have an amazing day!!!! :)

Prakhar is 13 years older than his youngest sister. :) <3

Answer:

Graph B is correct

(3,-1)

Step-by-step explanation:

Convert to slope-intercept form and find them on graph.

Answer:

Graph B and (3,-1)

Step-by-step explanation:

Step: Solve x−2y=5 for x:

x−2y=5

x−2y+2y=5+2y (Add 2y to both sides)

x=2y+5

Step: Substitute 2y+5 for x in 3x+15y=−6:

3x+15y=−6

3(2y+5)+15y=−6

21y+15=−6 (Simplify both sides of the equation)

21y+15+−15=−6+−15 (Add -15 to both sides)

21y=−21

(Divide both sides by 21)

y=−1

Step: Substitute−1for y in x=2y+5:

x=2y+5

x=(2)(−1)+5

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=−1 or (3,-1)

Answer:

The total cost for  each health club will be the same after 4 months.

Step-by-step explanation:

We want to when the total cost at each health studio is the same.

In other words, when A = B.

Therefore, the expression becomes

[tex]A = B[/tex]

[tex]22\:+\:24.5x=47.00\:+\:18.25x[/tex]

Step 1: Simplify both sides of the equation.

[tex]24.5x+22=18.25x+47[/tex]

Step 2: Subtract 18.25x from both sides.

[tex]24.5x+22-18.25x=18.25x+47-18.25x[/tex]

[tex]6.25x+22=47[/tex]

Step 3: Subtract 22 from both sides.

[tex]6.25x+22-22=47-22[/tex]

[tex]6.25x=25[/tex]

Step 4: Divide both sides by 6.25

[tex]\frac{6.25x}{6.25}=\frac{25}{6.25}[/tex]

[tex]x=4[/tex]

Therefore, the total cost for  each health club will be the same after 4 months.

Answer:1/24

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

: )

Answer:

-343

Step-by-step explanation:

tn=a+(n-1)d

0(50-1)*-7

-343

Answer:

[tex]Volume = 5028.6cm^3[/tex]

Step-by-step explanation:

Given

[tex]Height = 10cm[/tex]

[tex]Diameter = 8cm[/tex]

Required

Determine the volume

The volume of a cylinder is calculated as thus:

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

Where [tex]r = radius[/tex]

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 8cm[/tex]

[tex]r = 4cm[/tex]

[tex]h = 100cm[/tex]

Take

[tex]\pi = \frac{22}{7}[/tex], so we have

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

[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]

[tex]Volume = \frac{22}{7} * 16 * 100[/tex]

[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]

[tex]Volume = \frac{35200}{7}[/tex]

[tex]Volume = 5028.6cm^3[/tex]

Answer:

Small=36

Large=13

Step-by-step explanation:

As given there are 49 dogs signed up

36 are small so the equation is

36+x=49

x=49-36

x=13

So 13 large dogs and 36 small dogs

Answer:

x = -9 + 11y

Step-by-step explanation:

Simplifying

2x + -22y = -18

Solving

2x + -22y = -18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '22y' to each side of the equation.

2x + -22y + 22y = -18 + 22y

Combine like terms: -22y + 22y = 0

2x + 0 = -18 + 22y

2x = -18 + 22y

Divide each side by '2'.

x = -9 + 11y

Simplifying

x = -9 + 11y

Hope this helps!!

Answer:

Following are the similarities and differences to this question:

Step-by-step explanation:

In the given question, both girls have such a mean performance of about 17 points per game throughout this issue, however, Sciurine is much more consistent. Your IQR becomes approximately 2 levels and Alexandra is greater than 10.

Answer:

90°

Step-by-step explanation:

angle on a straight line=180 and half of 180=90°

Answer:

67.5°

Step-by-step explanation:

You know the long hand would be at number 9 and you also know that from the number 6 to 9 it would be 90°. Between each number, there are also 5 smaller marks on the clock. Thus, for 90°, there would be 5×3=15 smaller marks. (I used 3 because between 6 and 9 there are 3 big numbers)

Now here's the trickier part: There are 60 minutes within 5 small marks. We can find out at which mark does the shorter hand move to at 45 minutes.

[tex]\frac{45}{60}[/tex]×5 = 3.75

Out of the 15 smaller marks of 90°, the 45th minute stands at 3.75. The angle of 3.75 would then be between the 15th mark and the 3.75th mark. The gap would be 15-3.75 = 11.25 marks.

[tex]\frac{11.25}{15}[/tex] ×90° = 67.5°

You can refer to the picture for better visualisation of the clock. Hope this helps.

Answer:

1.81 inches

Step-by-step explanation:

We are told that the sheet of metal to be used measures 12 inches by 10 inches.

Squares of equal sides x are cut out of each corner. Thus, it means total of 2x is cut of the 12 inches side and 10 inches side.

Thus;

Length; L = 12 - 2x

Width; W = 10 - 2x

Height; H = x

Volume of the box is;

V = LWH

V = (12 - 2x)(10 - 2x)x

Factorizing out, we have;

V = 4x[(6 - x)(5 - x)]

Equating V to zero, we can find the domain of the function;

At V = 0,

4x = 0; 6 - x = 0 ; 5 - x = 0

x = 0, x = 6, x = 5

The dimensions have to be positive. Thus;

0 ≤ x ≤ 5

Expanding the volume equation;

V = 4x[30 - 5x - 6x + x²]

V = 4x[30 - 11x + x²]

V = 4x³ - 44x² + 120x

dV/dx = 12x² - 88x + 120

Equating to zero to find the value of x that makes volume maximum;

12x² - 88x + 120 = 0

Using quadratic formula gives;

x = 1.81 or 5.52

From our domain, we have 0 ≤ x ≤ 5.

1.81 falls within the domain and therefore we will pick it as the height that makes the volume maximum.

Answer:1.81

Step-by-step explanation:

x=1.81

Step-by-step explanation:

3x+6+4x-20=10

7x-14=10

7x=24

x=24/7

Answer:

x=3.43

Step-by-step explanation:

3(x-2)+4(x-5)=10

3x+6+4x-20=10

7x-14=10

7x=24

x=24/7

24/7=3.428571428571429(round to nearest hundredths)

x=3.43

Answer:

Step-by-step explanation:

Given equation

Solving for b:

Answer:

b = ±√(c² - a²)

Step-by-step explanation:

We have to get the value of B.

Step 1: (b squared = c squared - a squared)

b² = c² - a²

Step 2: (cube root of b squared = cube root of c squared and a squared)

√b² = √(c² - a²)

We get the answer as:

b = ±√(c² - a²)

Answer:

Answer - words, colon, fraction

Step-by-step explanation:

A ratio can be expressed in words as a description, with a colon between 2 quantities, or as a fraction.

EXPLANATION:

A ratio is a statement of the quantitative relationship between two numbers in a given scenario.

- It can be expressed in words as a description of the relationship. E.g. "Ratio 2 to 8"

- It can be expressed with a colon. E.g. "2:8"

- It can be expressed as a fraction. E.g. "2/8"

Answer:

find the lcm of 22,36,and 42

Step-by-step explanation:

lcm of 22 = 11 x 2

lcm of 36 = 2 x 2 x 3 x 3

lcm of 42 = 2 x 3 x 7

so the lcm of three numbers are 11 x 2 x 2 x 2 x 3 x 3 2 x 3 x 7 = 1000

Answer:

2,772

Step-by-step explanation:

First we find the LCM (Least common multiple) of the given numbers.

2 | 22, 36, 42

2 | 11, 18, 21

3 | 11, 9, 21

3 | 11, 3, 7

7 | 11, 1, 7

11 | 11, 1. 1

| 1, 1, 1,

LCM of 22, 36, 42 = 2*2*3*3*7*11 = 2,772

Thus, the lowest number of four digits that can be divided by 22,36,and 42 is 2772.