An object with a starting velocity of 15 m/s accelerates at 3 m/s2. How far does the object travel within 10 seconds?

Answer:

B

Step-by-step explanation:

If you do 12,000 - 92% it gives you 960 and the 92% is = 11,040

Answer:

42 meters

Step-by-step explanation:

because 13 + 13 + 8 + 8 = 42.   and that's your answer

Final answer:

The area of the café is calculated by multiplying the length (13 meters) by the width (8 meters), resulting in an area of 104 square meters (104 m²).

Explanation:

The area of the café at the park can be calculated using the formula for the area of a rectangle, which is the product of its length and width. Given that the café is 13 meters long and 8 meters wide, we multiply these two dimensions to find the area.

Step-by-Step Calculation

Identify the length (13 meters) and the width (8 meters) of the rectangle.

Multiply the length by the width: Area = length × width.

Calculate: 13 meters × 8 meters = 104 square meters (104 m²).

Therefore, the area of the café is 104 m².

Answer:

B. x3 + 4x2 − x + 3

Step-by-step explanation:

(−7x^3 + 5x^2 − x + 6) − (−8x^3 + x^2 + 3)

Distribute the negative sign

(−7x^3 + 5x^2 − x + 6) + (8x^3 - x^2 - 3)

I like to line them up vertically.

−7x^3 + 5x^2 − x + 6

8x^3 - x^2           - 3

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

x^3    +4x^2  -x  +3

The simplified form of the expression ( –7x³ + 5x² – x + 6) – (–8x³ + x² + 3) is x³ + 4x² – x + 3, corresponding to option B.

To simplify the expression ( –7x³ + 5x² – x + 6) – (–8x³ + x² + 3), we need to remove the parentheses and then combine like terms.

First, distribute the negative sign through the second set of parentheses: –7x³ + 5x² – x + 6 + 8x³ – x² – 3.

Next, combine like terms: (–7x³ + 8x³) + (5x² – x²) – x + (6 – 3).

This simplifies to x³ + 4x² – x + 3.

So, the correct simplified form of the expression is option B. x³ + 4x² – x + 3.

Answer:

1824

That would be your total

Answer:

1824

Step-by-step explanation:

12*8+(12^3)=

We need to work these in the order of PEMDAS.  First is the parentheses and exponents.

12*8 + 1728

Next is multiplication.

96+1728

Now add.

1824

Answer: (c) [tex]\bold{\dfrac{3}{4}}[/tex]

Step-by-step explanation:

Chooe any point I am choosing point W.

The W' is closer to C than W so the dilation is less than 1

The only answer choice that is less than 1 is option c.

Why is this the answer? because the side lengths are proportional

[tex]\dfrac{CW'}{CW} = \dfrac{WX'}{WX}= \dfrac{3}{4}[/tex]

Answer:

150

Step-by-step explanation:

3000 * 0.05 = 150

Answer:

Common denominators

A variable in the numerator

A variable in the denominator

Step-by-step explanation:

Note: An an algebraic fraction is the fraction that has some algebraic expression in numerator and some algebraic expression in denominator.

So, if fractions would have common denominators, a variable in the numerator or a variable in the denominator would be an algebraic fraction.

Therefore, following options best describes an algebraic fraction:

Answer:

 scoops 1       1/2     5      12.8   1.5    1.05     20    12.25

 milk      10     5       50   128    15     10.5   200    122.5

Step-by-step explanation:

The problem states 1 scoop per 10 oz of milk

1 scoop        x scoops

------------ = ------------

10 oz             5 oz

Using cross products

1 *5 = x * 10

Divide by 10

5/10 =x

1/2 scoops

1 scoop        5 scoops

------------ = ------------

10 oz             x oz

Using cross products

1 *x = 5 * 10

x =50

50 oz

1 scoop        x scoops

------------ = ------------

10 oz             128 oz

Using cross products

1 *128 = x * 10

Divide by 10

x =128/10

12.8 oz

1 scoop        1.5 scoops

------------ = ------------

10 oz             x oz

Using cross products

1 *x = 1.5 * 10

x =15

15 oz

1 scoop        x scoops

------------ = ------------

10 oz             10.5 oz

Using cross products

1 *10.5 = x * 10

Divide by 10

x =10.5/10

1.05 oz

scoop        20 scoops

------------ = ------------

10 oz             x oz

Using cross products

1 *x = 20 * 10

x =200

200 oz

scoop        12.25 scoops

------------ = ------------

10 oz             x oz

Using cross products

1 *x = 12.25 * 10

x =122.5

122.5 oz

Answer:

[tex]\underline {\text{P}\ \ |\quad1\quad| \quad\frac{1}{2}\quad|\quad5\quad|\quad12.8\quad| \quad1.5\quad| \quad1.05\quad|\quad20 \quad|\quad12.25\quad|}\\{\text{M}\ |\quad10\ \ | \quad 5\quad|\quad50\ \ |\quad128.\quad|\quad15\quad| \quad10.5\quad|\quad200\ |\quad122.5\quad|}[/tex]

Step-by-step explanation:

Set up the proportion as [tex]\dfrac{1 \text{ powder}}{10 \text{ milk}}=\dfrac{P}{M}[/tex], then cross multiply and solve for the variable.

Column 1: [tex]\dfrac{1}{10} =\dfrac{1}{M}[/tex] → M = 10

Column 2: [tex]\dfrac{1}{10} =\dfrac{P}{5}[/tex] → 5 = 10P → [tex]\frac{1}{2} = P[/tex]

Column 3: [tex]\dfrac{1}{10} =\dfrac{5}{M}[/tex] → M = 50

Column 4: [tex]\dfrac{1}{10} =\dfrac{P}{128}[/tex] → 128 = 10P  → 12.8 = P

Column 5: [tex]\dfrac{1}{10} =\dfrac{1.5}{M}[/tex] → M = 15

Column 6: [tex]\dfrac{1}{10} =\dfrac{P}{10.5}[/tex] → 10.5 = 10P  → 1.05 = P

Column 7: [tex]\dfrac{1}{10} =\dfrac{20}{M}[/tex] → M = 200

Column 8: [tex]\dfrac{1}{10} =\dfrac{12.25}{M}[/tex] → M = 122.5

After simplifying Mateo's equation, we find that it results in an impossibility (2=-2), which means that the equation has no solution.

In order to find the number of solutions to Mateo's equation, we first need to simplify it. The equation given is 8-2(3-x)=4x-2(x+1). Distributing the numbers on each side of the equation, it turns into 8-6+2x = 4x -2x -2. Simplify it further into 2x + 2 = 2x - 2. If we subtract 2x from both sides, we get 2 = -2.

This result, 2 = -2, is not possible or true. Therefore, the given equation has no solutions. The correct answer to the question is therefore option A: No solution.

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To determine how many times taller Laquisha's model is compared to Ben's model, convert their heights to improper fractions and divide, simplifying the result to find the ratio.

To find out how many times taller Laquisha's model is compared to Ben's model, we divide their heights. Laquisha's model height is
70 11/12 inches, and Ben's model height is 5 3/4 inches. First, convert the mixed numbers to improper fractions. Ben's height as an improper fraction is 23/4 inches. Laquisha's height as an improper fraction is 851/12 inches. Next, divide Laquisha's model by Ben's: (851/12)
÷ (23/4). To divide fractions, we multiply by the reciprocal of the second fraction: (851/12)
× (4/23). Simplify to find the ratio, which represents how many times taller Laquisha's model is.

76 points/ 4 points per questions means he answered 19 questions correctly

plus the 10 he answered incorrectly  

76/4+10=x

19+10=x

29=x

Hi there! :)

Answer:

Length of the second diagonal: 54 cm

Area of the rhombus: 1,944 cm²

Step-by-step explanation:

1) To find the value of the second diagonal, you first need to know some important properties of rhombuses:

Since the perimeter is 180, and by definition a rhombus has four congruent sides (of equal length), each side length of the rhombus is equal to 45.

The diagonals of rhombuses also form four right triangles, with hypotenuses equal to the side length of the rhombus and legs equal to half the lengths of the diagonals. In this case one hypotenuse would be equal to 45 and one leg would be equal to 36 (72 ÷ 2 = 36).

We can therefore use the Pythagorean Theorem to solve for one-half of the unknown diagonal:

c² = a² + b² → Where "c" is the hypotenus & "a" and "b" are the two other sides.

45² = 36² + b² → Where "b" is the half of the unknown diagonal.

We can now solve this equation for "b":

45² = 36² + b²

45² = 2,025

36² = 1,296

2,025 = 1,296 + b²

Subtract "1,296" from each side of the equation → 2,025 - 1,296 = 729

729 = b²

Square root on each side of the equation → √729 = 27

27 = b

Since "b" represents half of the unknown diagonal, we need to multiply by 2 to find the full length of the diagonal:

27 × 2 = 54 ⇒ Length of the other diagonal.

2) To find the area of the rhombus, you need to multiply the length of the 2 diagonals and divide the answer by 2:

(72 × 54) ÷ 2 = A

Multiply "72" & "54" together → 72 × 54 = 3,888

3,888 ÷ 2 = A

1,944 = A

There you go! I really hope this helped, if there's anything just let me know! :)

Answer:

[tex]\frac{8}{12}[/tex] equal to [tex]\frac{8}{12}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] -------------------------  [tex]\frac{8}{12}[/tex]

Lets compare both the fractions

To compare both the fractions the denominators should be same

Lets make the denominators same

WE try to get 12 in the denominator of first fraction, so we multiply top and bottom by 4

[tex]\frac{2*4}{3*4}=\frac{8}{12}[/tex]

[tex]\frac{8}{12}[/tex] -------------------------  [tex]\frac{8}{12}[/tex]

Both fractions are equal

So [tex]\frac{8}{12}[/tex] equal to [tex]\frac{8}{12}[/tex]

It's an arithmetic sequence:

[tex]a_1=14\\a_2=14-8=6\\a_3=6-8=-2\\a_4=-2-8=-10\\a_5=-10-8=-18\\\vdots\\\text{The general formula for nth term of an arithmetic sequence}\\\\a_n=a_1+(n-1)d\\\\\text{We have}\ a_1=14,\ d=-8.\\\\\text{Substitute:}\\\\a_n=14+(n-1)(-8)=14-8n+8=22-8n\\\\\text{We need}\ a_{52}.\ \text{Put n = 52 to the formula}:\\\\a_{52}=22-8(52)=22-416=-394[/tex]

Answer:

9

Step-by-step explanation:

Answer:

The helicopter still needs to fly up sec 17.0886 at maximum speed.

Step-by-step explanation:

To find out how far the helicopter went down do 100(seconds) * 10.5 and get 1050

Then how much he traveled back up same thing 150 (seconds) * 5.2 and get 780

Next  find the difference 780-1050 and get -270 ft it is negative because it is still BELOW GROUND ( That's how you know if it need to fly up or down)

Last to find how many seconds you need you work backwards so instead of multiplying you do the opposite witch is dividing so you take your feet (270) and divide by the maximum speed (15.8). 270/15.8 is 17.08

Answer:

1440π squared mm.

Step-by-step explanation:

Given is the radius of base of cylinder, r = 12mm.

The altitude is five times the base radius, h = 5 times 12mm = 60mm.

The lateral area of the cylinder is the curved surface area of the cylinder.

The formula for curved surface area of cylinder is as follows:-

Curved Surface Area = Circumference of base x altitude of cylinder.

SA = 2πrh = 2π•12•60 = 1440π sq. mm.

Hence, Lateral area of cylinder is 1440π squared mm.

Answer:

1440π

Step-by-step explanation:

We are given the radius of the base of a right cylinder to be 12 mm and its altitude or height to be 5 times the base radius which is equal to (12 x 5) = 60 mm.

We know the formula for the lateral area of a right cylinder:

[tex]A = 2\pi rh[/tex]

So putting in the given values with [tex]\pi[/tex] as it is to get:

[tex]A=2\pi *12*60[/tex]

[tex]A=2(720)\pi[/tex]

[tex]A=1440\pi[/tex]

Therefore, the lateral area of this right cylinder is 1440π.

Answer:

84

Step-by-step explanation:

42x2=84

multiply 2 with 42 which comes out as 84

Answer:

Alright well solve for f by cross multiplying

Exact form: f = 57/4

Decimal form: f = 14.25 Hope this helps have a nice day :)

Step-by-step explanation:

Answer:

The Answer is 10 times as much.

Step-by-step explanation:

We know that the 4 in 24,601 is 4000. We also know that the 4 in 437 is 400. If we do 4000/400, we get 10 times as much!

I hope this helps.

The domain and range of the relation {(-1, 1), (-2, 2), (4, -4), (7, -7)} are {-1, -2, 4, 7} and {1, 2, -4, -7} respectively.

Not every relation is a function, but every function is a relation.

A function is a relation with clear boundaries.

When we say that something is well-defined, we mean that each element has been assigned a specific image.

The given set is,

{(-1, 1), (-2, 2), (4, -4), (7, -7)}

The domain of a set is the values of x,

Domain = {-1, -2, 4, 7}

The range of a set is the values of y,

Range = {1, 2, -4, -7}

The relation makes the function because for every value of x the sign of function y is negative,

The required function is,

y = -x.

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Answer:

7

Step-by-step explanation:

3*8=24 and so 3*7 would =21 and 21+24=45

Jesse walked 7 dogs on Monday.

To find this answer, you must first find out how much money he made for walking dogs on Tuesday. To do so, multiple 8 (number of dogs) by 3 (amount of money earned per dog. This will give you 24, which you subtract from the total (45). 45 - 24 = 21. Finally, divide 21 (amount he made on Monday) by 3 (amount of money earned per dog) to get 7 dogs on Monday.

I hope this helps!

Answer:

0

Step-by-step explanation:

Answer:

IT ALL EQUALS TO 0.

Step-by-step explanation:

Step 1: Parenthesis:

16 - 4[3 + 2 / 2]

Sep 2: dO DIVISION IN THE BRACKETS:

16 - 4[3 + 1]

Step 3: Add what is in the brackets

16 - 4[4]

Step 4: Multiply

16 - 16

Step 5: Simplify

0

[tex]|x|>5\iff x>5\ \vee\ x<-5[/tex]

The particular computer will take approximately 22.5 minutes to download a 1.5 hour movie.

In this particular problem, we need to figure out how long a computer will take to download a movie. The computer in question takes 13 minutes to download a 52 minute TV-show, establishing a rate of downloading. We can therefore calculate how long the computer takes to download a minute of TV-show by dividing the download time by the length of the show: 13/52 = 0.25 minutes per minute of show. Next, we convert 1.5 hours (the length of the movie) into minutes, because our rate is in terms of minutes: 1.5*60 = 90 minutes. We then multiply this by our download rate (0.25) to get our answer: 90*0.25 = 22.5 minutes. Thus, this particular computer will take approximately 22.5 minutes to download a 1.5 hour movie.

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Answer:

p=-36

Step-by-step explanation:

-18=p/2

______________________

Multiply both sides by 2

-18(2)= p/2 (2)

______________________

-36 = p

switch the sides of the equation

______________________

p=-36

Answer:

[tex]x^{4}[/tex] + x³ - 10x² + 20x

Step-by-step explanation:

expand (x - 2)² and (x + 2)(x + 3) using FOIL

= (x² - 4x + 4)(x² + 5x + 6)

multiply each term in the second factor by each term in the first factor

= [tex]x^{4}[/tex] + 5x³ + 6x² - 4x³ - 20x² - 24 + 4x² + 20x + 24 ← collect like terms

= [tex]x^{4}[/tex] + x³ - 10x² + 20x

Answer:

C) $51

Step-by-step explanation:

Step 1. Calculate the discount

The discount is 15 % of $60

Discount = 60 × 0.15

Discount = $9

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

Step 2. Calculate the sale price

Sale price = original price - discount

Sale price = 60 - 9

Sale price = $51

The sale price will be $51.

Answer:

45%

Step-by-step explanation:

You do 18 divided by 40

Which is .45