-5(k + 6) + 7(k – 4)

Answer:

Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

Step-by-step explanation:

Sally shot her bow and gravity influences entirely on the motion of the bow, since distances are to small with respect to the radius of the Earth, gravitational acceleration can be considered constant. When arrow reaches maximum arrow, final velocity is zero. In consequence, the position of the arrow can be expressed in terms of the following kinematic equations:

[tex]y - y_{o} = v_{o}\cdot t +\frac{1}{2} \cdot g\cdot t^{2}[/tex]

[tex]0 = v_{o}+g\cdot t[/tex]

Where:

[tex]y_{o}[/tex], [tex]y[/tex] - Initial and final height of the arrow, measured in feet.

[tex]v_{o}[/tex] - Initial velocity, measured in feet per second.

[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.

[tex]t[/tex] - Time, measured in seconds.

In consequence, Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

Answer:

8

Step-by-step explanation:

Gradient = Slope

In y = mx + b

m is the gradient of the straight line

[tex]gradient = 8[/tex]

Answer:

x=18

Step-by-step explanation:

10x-4+x-14=180

11x-18=180

11x=180+18

11x=198

x=[tex]\frac{198}{11}[/tex]

x=18

Answer:

x = 18

Step-by-step explanation:

(10x -4) + (x-14) = 180 (for linear pair)

<=> 10x + x - 4 - 14 = 180

<=> 11x - 18 = 180

<=> 11x = 180+18 = 18 . 10 + 18 = 18 . 11

<=> x = 18

Answer:

C. 8 units to the right and 5 units down

Step-by-step explanation:

Because if we move the trapezoidal to the right 8 times, then 5 units down. It becomes the image need it needs to be.

I hope this helps! I'm sorry if it's wrong.

Answer:

x = whole-valued numbers without fractions or decimal.

Step-by-step explanation:

An integer in mathematics refers to a whole number that can either be a positive or negative number but without any fractional part. Integers are numbers such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 etc.

Hence, when we say "x" is an integer, it simply means that the value of x should be a whole number that can either be a positive or negative number but without any fractional or decimal value or part.

In Mathematics, when solving for an unspecified or unknown integer we can use a lowercase alphabet "x" to denote the integer.

For instance;

2x + 5 = 11

2x = 11 - 5

2x = 6

Dividing both sides by 2, we have;

x = 3.

Answer:

Step-by-step explanation:

The mass of a substance when given the density and volume can be found by using the formula

From the question

Density = 0.789 g/mL

volume = 200 mL

Substitute the values into the above formula and solve for the mass

That's

mass = 0.789 × 200

We have the final answer as

Hope this helps you

Answer:

Jan has 28 dimes.

Step-by-step explanation:

It would take 24 quarters or 60 dimes or 120 nickels to make $6.

So, I simply divided 24 by 3, which is 8 (but I did 7).

7 quarters is 1.75, and 28 dimes make 2.80, and 29 nickels make 1.45

1.75 + 2.80 + 1.45 = $6

Answer:

Equation 2 is correct

Step-by-step explanation:

Equation 1 is 2, not 1.5

Answer: C and D

Step-by-step explanation:

The value of c in the first one is less then the value of the second one. Also equation 1 equals -11 and equation 2 equals 1 so that’s why it’s c and d.

Answer: 17.8

Step-by-step explanation:

The solution to the proportion would be x = 17.8 which is the correct option (B).

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been the given proportion as:

⇒ 52 : x = 9.5 : 3.25

⇒ 52/x = 9.5/3.25

⇒ 52/x = 2.923

Cross multiplication, and we get

⇒ x = 52/2.923

Apply the division operation,

⇒ x = 17.8

Therefore, the solution to the proportion would be x = 17.8.

Learn more about the Ratio here:

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Answer:

The absolute values of Q and R are the same

Step-by-step explanation:

Hope this helps! I had the same question lol

The absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that:

A number line is shown in the picture.

From the number line:

= 4/2=2

The absolute values of Q and R are the same.

Thus, the absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.

Use the number line to determine which of the following statements is true. Each tick is 1 unit.

The quotient of P and S is positive.

The product of R and S is negative.

The absolute values of Q and R are the same.

Q and S are opposite numbers.

Learn more about the arithmetic operations here,

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Answer:

[tex]x=-4<x<2[/tex]

Step-by-step explanation:

[tex]-1<x+3<5[/tex]

This inequality consists of 3 parts.

To solve this inequality, you will have to add -3 in each part of the inequality.

[tex]1+-3<x+3+-3<5+-3[/tex]

The answer to this is:

[tex]-4<x<2[/tex]

So that means x is equal to

[tex]x=-4<x<2[/tex]

Hope this helps!

Answer:

0 2.4608

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

hope this helps

trust me

Answer:

1) x= - 8

2) x = 10

3) x= 5/7

Answer:

Add a positive integer by moving to the right on the number line.

Subtract an integer by adding its opposite.

Step-by-step explanation:

Step-by-step explanation:

1, Add a positive integer by moving to the right on the number line.

2, Add a negative integer by moving to the left on the number line.

3, Subtract an integer by adding its opposite.

Answer: C

Step-by-step explanation:

this is only the answer if the x is squared

plug 5 in for x

(5)^2-3(5)

25-15= 10

Answer:

U 0,-2    S -2,-1   T -3 -5  will be the new points

Step-by-step explanation:

Answer:

x - 98

Step-by-step explanation:

Given the question :

A stocks value decreased by 7 points each day for 2 weeks. Which numeric expression can be used to find out what the stock value was after the 2 weeks?

Let the initial value of the stock = s

Rate of decrease = 7 points per day

Number of days in a week = 7

Hence, 2 weeks = ( 2 * 7) = 14 days

Total decrease in stock over the 2 weeks period :

(Decrease per day × number of days)

(7 points × 14) = 98 points

Stock value after 2 weeks :

(Initial stock value - decrease in stock over the 2 weeks period)

= x - 98

Answer:

[tex]fg {x}^{2} [/tex]

Step-by-step explanation:

f(x) × g(x)

[tex]fg {x}^{2} [/tex]

it is not easy to explain but i hope u like it ‍❤️‍‍❤️‍‍❤️‍

For any question comment me

Answer:

270 + 63 = 333

Step-by-step explanation:

If you did it in your head, it would look like this:

9(30) + 9(7)

270 + 63 = 333

Step-by-step explanation:

divide 32 by 1.83 to get the answer

the answer is 17.4863387978

round it off

the final answer should be:

17.5 cents

The price per ounce is approximately 5.72 cents per ounce.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

A 32-ounce soft drink costs $1.83.

So,

32 ounce ⇒  $1.83

Divide by 32 into both sides

1 ounce ⇒ 1.83/32

1 ounce ⇒ $0.0571875 = 5.72 cents.

Hence"The price per ounce is approximately 5.72 cents per ounce".

For more information about ratio and proportion,

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Answer:

8 hats

Step-by-step explanation:

1. .50 x 24.98

2. 12.49 x 8

3. solve 12.49 x 8

4. Equals 99.92

Hope this helps you an stay safe:)

Answer:

1

Step-by-step explanation:

4(-x+4)=12

first is to open the bracket giving u

-4x+16=12

since 16 is adding where it is when takrn to the other side it will be subtracting giving u

-4x=12-16

-4x=-4

x= -4/-4

x=1

Answer:

Felipe is "F" years old, Felipe's sister is 6 years younger then Felipe, Felipe's mom is times minus 6

Step-by-step explanation:

Answer:

3.1% increase

Step-by-step explanation:

Diameter1=25cm

Radius1=12.5cm

Circumference1=2x22/7x12.5

Diameter2=25.8cm

Radius2=12.9cm

Circumference2=2x22/7x12.9

% increase =Circumference2-Circumference1/Circumference2 x 100%= 2x22/7x12.9-2x22/7x12.5 / 2x22/7x12.9 x100%

12.9-12.5/12.9 x 100%

0.4/12.9 x 100%

4/129 x 100%

3.1%

Answer:

EF = [tex]\sqrt{34}[/tex] ≈ 5.83

Step-by-step explanation:

Calculate EF using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)

EF = [tex]\sqrt{(-2-1)^2+(8-3)^2}[/tex]

    = [tex]\sqrt{(-3)^2+5^2}[/tex]

    = [tex]\sqrt{9+25}[/tex]

    = [tex]\sqrt{34}[/tex] ≈ 5.83 ( to 2 dec. places )

Answer:

a kite

Step-by-step explanation:

Yes, you can form a kite.  The top two would be 2 units, and the bottom two would be 4 units.  It would still have two of each, just like the rectangle, but would be a different quadrilateral.  

Alternately, you could turn the rectangle into a parallelogram by leaning it.  Rectangles have 90 degree angles, so it wouldn't be a rectangle anymore.

Answer:

12 + (-4) = 8

Step-by-step explanation:

12 + (-4) = 8

12 + (4) = 16?

Answer:

8

Step-by-step explanation:

You remove the plus sign when you have both a negative and positive sign.

Now you are left with 12-4 which equals 8.

Hope that helped

Answer:

$6.06

Step-by-step explanation:

Edward: 36.00*0.87=31.32

Chad 36.00*0.71=25.25

31.32-25.25=6.06

$6.06

Hope this helps :-)