16)
If a parachutist jumped from an airplane flying at an altitude of 10,000 feet and fell at an average free fall speed of 158 feet per second for 17 seconds, what impact will it have on the altitude of the parachutist?
A) -2,686 feet
B) -2,669 feet
C) 2,669 feet
D) 2,686 feet

Answer:

Report Me and sub To PewDiePie

Step-by-step explanation:

Final answer:

To multiply mixed numbers, convert them into improper fractions, multiply the numerators and denominators separately, and simplify the resulting fraction.

Explanation:

To multiply mixed numbers, we first convert them into improper fractions. Then, we multiply the numerators and denominators separately and simplify the resulting fraction if possible.

In this case, (2 4/5) can be written as 14/5 and (-5 2/3) can be written as -17/3. Therefore, (2 4/5) (-5 2/3) can be simplified to (-14/5) * (-17/3).

To multiply fractions, we multiply the numerators and denominators together. So, (-14/5) * (-17/3) = (14 * 17) / (5 * 3) = 238/15 = 15 13/15.

The value of the equation A = 837.2 / 1.3 is A = 644

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p

The value of p = 837.2

Let the second number be q

The value of q = 1.3

Now , the equation A = p/q

Substituting the values in the equation , we get

A = 837.2 / 1.3

On simplifying the equation , we get

A = 644

Therefore , the value of A is 644

Hence , the equation is A = 644

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Answer:

128 fluid ounces

Step-by-step explanation:

There are 8 fluid ounces in 1 cup.

There's 1 cup in 8 fluid ounces

16 cups x 8 = 128 fluid ounces

5 is the factor of 15

Answer:

Step-by-step explanation:

[tex]The \factors\ of\ 15:\ 1,\ 3,\ 5,\ 15\\\\15=1\cdot15\\15=3\cdot\boxed5\\15=5\cdot3\\15=15\cdot1[/tex]

Answer:

diameter ≈ 11 feet

Step-by-step explanation:

The area (A) of a circle is calculated using the formula

A = πr² ← r is the radius

To find r divide both sides of the equation by π

r² = [tex]\frac{A}{\pi }[/tex] = [tex]\frac{95.03}{\pi }[/tex]

Take the square root of both sides

r = [tex]\sqrt{\frac{95.03}{\pi } }[/tex] ≈ 5.5 feet

Diameter = 2r = 2 × 5.5 = 11 feet

A circle is a curve sketched out by a point moving in a plane. The diameter of the circle whose area is 950.3 square feet is 11 feet.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

As it is given that the area of the circle is 95.03 square feet. Therefore, if we apply the area of the circle, we will get,

[tex]\text{Area of the circle} = \pi r^2[/tex]

where r is the radius of the circle,

[tex]\rm 95.03 = \pi r^2\\\\r = \sqrt{\dfrac{95.03}{\pi}}\\\\r = 5.4999 \approx \rm 5.5\ feet[/tex]

The radius of the circle is half the diameter of the circle, therefore, the diameter of the circle,

[tex]\rm Radius = \dfrac{Diameter}{2}\\\\5.5 \times 2 = Diameter\\\\Diameter = 11\ feet[/tex]

Thus, the diameter of the circle whose area is 950.3 square feet is 11 feet.

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Answer:

[tex]\frac{19}{9}[/tex]

Step-by-step explanation:

To change the mixed number to an improper fraction.

Multiply the whole number by the denominator of the fraction and add the numerator. The denominator remains unchanged, that is

2 [tex]\frac{1}{9}[/tex]

=[tex]\frac{2(9)+1}{9}[/tex] = [tex]\frac{19}{9}[/tex]

Answer:

Reference angle: [tex]\frac{\pi}{2}[/tex]

[tex]tan(\theta)=tan(\frac{3\pi}{2})[/tex] is not defined.

Step-by-step explanation:

The angle [tex]\theta[/tex] goes from the positive x-axis to the negative y-axis.

Therefore the reference angle can be calculated as following:

[tex]\frac{3\pi}{2}-\pi=\frac{\pi}{2}[/tex]

 We know that [tex]tan(\theta)[/tex]is:

[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

If [tex]\theta=\frac{3\pi}{2}[/tex] then [tex]cos(\frac{3\pi}{2})=0[/tex], therefore [tex]tan(\frac{3\pi}{2})[/tex] is not defined, because the division by 0 is not defined.

Answer:

I know for a fact that the reference angle for 3pi/2 is pi/2 so the first one is A, and if I'm not mistaken, the second one should be undefined.

Step-by-step explanation:

Answer: [tex]90cm^3[/tex]

Step-by-step explanation:

A rectangular prism is a three-dimensional solid.

A rectangular prism has six faces (each one of these faces are rectangles), eight vertices and twelve edges.

You know that this rectangular prism has 5 layers and the volume of one of these layers is 18 cubic centimeters ([tex]18cm^3[/tex]).

Assuming that all these layers are equal, the volume of this rectangular prism can be calculated with:

[tex]V_{prism}=5*V_1[/tex]

Where [tex]V_1[/tex] is the volume of one layer.

Substituting, you get:

[tex]V_{prism}=(5)(18cm^3)\\\\V_{prism}=90cm^3[/tex]

Answer:

168

Step-by-step explanation:

A≈227 would be your answer, hope this helps

Final answer:

To find the area of a circle with a circumference of 53.41 inches, calculate the radius using r = C / (2π) and then find the area using A = πr². The area is approximately 226.795 square inches.

Explanation:

To find the area of a circle given its circumference, you can use the formula for the circumference, C = 2πr, where C is the circumference and r is the radius. From there, you can derive the radius and then calculate the area using the formula A = πr². Given that the circumference is 53.41 inches, we first find the radius (r).

The formula for circumference (C) simplifies to r = C / (2π). Thus, r = 53.41 inches / (2×3.14), which gives us r = 53.41 / 6.28 = approximately 8.5 inches. Now that we have the radius, we can plug it into the area formula A = πr². Using the given radius, the area A equals 3.14×8.5² inches², which is about 3.14×72.25 inches² = 226.795 inches² (rounded to three significant figures).

Answer:

y = 9x - 5

Step-by-step explanation:

Any line parallel to the given line y = 9x must also have the slope 9.

Substitute the known values (m = 9, h = 0, k = -5) into the point-slope equation of a straight line:

y - (-5) = 9(x - 0)

Then y + 5 = 9x, or

         y = 9x - 5

Answer:

20

Step-by-step explanation:

The least common multiple is 20 :)

3 x 60 = 180

180 < 300

300 mins is greater.

The answer for the second question ( x < 3) is A

The answer for the first question is B

Answer:

see explanation

Step-by-step explanation:

the fraction is boys over total in class, that is

fraction of boys = [tex]\frac{8}{24}[/tex] ( divide top/bottom by 8 )

fraction of boys = [tex]\frac{1}{3}[/tex] ← in simplest form

(b)

The number of girls in class = 24 - 8 = 16

fraction of girls = [tex]\frac{16}{24}[/tex] ( divide top/bottom by 8 )

fraction of girls = [tex]\frac{2}{3}[/tex] ← in simplest form

The number of boys is 1/3

The number of girls is 2/3

Total no of students = 24

No of boys in the class is 8

So in fraction form

Boys = 8 out of 24 which is 8/24 or simply 1/3

Now

For girls

no of girls will be Total students - boys students

Number of girls students = 24 - 8 = 16

In fraction form we can write 16/24 or simply 2/3

Answer:

A : -30(3+2w)

B : (-9-6w) ⋅ 10

E : −20(4.5 + 3w)

Step-by-step explanation:

Using distributive property:

A : -30(3+2w)  =  -90 - 60w          : equivalent to -90 - 60w

B : (-9-6w) ⋅ 10  = -90 - 60w          : equivalent to -90 - 60w

C : -3(30 - 20w)  = -90 + 60w       : NOT equivalent to -90 - 60w

D : (6 + 4w)×15  = 90 + 60w          : NOT equivalent to -90 - 60w

E : −20(4.5 + 3w) = - 90 - 60w     : equivalent to -90 - 60w

Answer:

A : -30(3+2w)

B : (-9-6w) ⋅ 10

E : −20(4.5 + 3w)

Answer:

A, B and E.

Step-by-step explanation:

We have -90-60w. Both 90 and 60 are multiples of 30, so we can apply common factor -30:

-90-60w = -30(3+2w). Then option A is correct.

Now, 90 and 60 are also multiples of 10, so we can apply common factor 10:

-90-60w = 10(-9-6w). Then option B is correct.

Now, 90 and 60 are also multiples of 3, so we can apply common factor -3:

-90-60w = -3(30+20w). Then option C is incorrect.

Now, 90 and 60 are also multiples of 15, so we can apply common factor 15:

-90-60w = 15(-6-4w). Then option D is incorrect.

Now, 90 is not a multiple of 20 but we can apply common factor obtainig a decimal number. Applying common factor -20 we have

-90-60w = -20(4.5+3w). Then option E is correct.

Answer:

B

Step-by-step explanation:

Given

V = [tex]\frac{Bh}{3}[/tex]

Substitute the given values for B and h into the formula

V = [tex]\frac{15(28)}{3}[/tex] = [tex]\frac{420}{3}[/tex] = 140 in³

Answer:

[tex]\large\boxed{RT=\sqrt{165}}[/tex]

Step-by-step explanation:

PT = NT. Therefore we have the equation:

[tex]4x-17=x+10[/tex]       add 17 to both sides

[tex]4x=x+27[/tex]          subtract 4x from both sides

[tex]3x=27[/tex]         divide both sides by 3

[tex]x=9[/tex]

Therefore

[tex]NT=4(9)-17=36-17=19[/tex]

Use the Pythagorean theorem:

[tex]RT^2+RN^2=NT^2[/tex]

Substitute RN = 14 and NT = 19:

[tex]RT^2+14^2=19^2[/tex]

[tex]RT^2+196=361[/tex]           subtract 196 from both sides

[tex]RT^2=165\to RT=\sqrt{165}[/tex]

Answer:

125%

Step-by-step explanation:

Lopez made more than the required minimum. So, his percentage will be over 100, for sure. But how much?

This question is essentially asking "60 is what percent of 48"?

We can translate this into:

60 = P * 48

Note: is means "=" and of means "*"

Solving for p:

[tex]60=P*48\\P=\frac{60}{48}\\P=1.25[/tex]

In percentage it is 1.25 * 100 = 125%

Final answer:

Mr. Lopez made 125% of the minimum required number of circuit boards on Wednesday, by dividing the 60 circuit boards he made by the minimum of 48 and then multiplying by 100.

Explanation:

The question asks how to calculate the percentage of the minimum amount of circuit boards Mr. Lopez made on Wednesday. To find this percentage, we divide the number of circuit boards made by Mr. Lopez by the minimum required number and then multiply by 100 to convert it into a percent.

Step-by-Step Solution:

Mr. Lopez made 60 circuit boards on Wednesday.

The minimum requirement is 48 circuit boards per day.

To find the percentage, use the formula: (Actual amount / Minimum requirement) x 100%.

So, the calculation would be: (60 / 48) x 100% = 125%.

Therefore, Mr. Lopez made 125% of the minimum required number of circuit boards on Wednesday.

Final answer:

The expression 5 Square root of 1215^x can be simplified to 5^(1+x/2) × 3^(5x/2) by factoring 1215 and applying exponent rules.

Explanation:

To find what is equivalent to 5 Square root of 1215^x, we need to simplify the radical expression and apply exponent rules. The number 1215 can be factored into 3^5 × 5. Therefore, the square root of 1215 is the square root of each factor raised to the power of x. We know that the square root of a number can be expressed as the number raised to the power of 1/2. So 1215 raised to the power x can be expressed as (3^5 × 5)^x, and taking the square root gives us (3^5 × 5)^(x/2).

Applying exponent rules, like multiplying powers when the same base is raised to two different exponents (as per Eq. A.8 and what we know from Integer Powers), we can simplify the expression further. Our expression of 5 times the square root of 1215 raised to the power x becomes 5 × 3^(5x/2) × 5^(x/2).

We can then combine the coefficients (5 × 5^(x/2)) which simplifies to 5^(1+x/2). Our final expression of the original problem then becomes 5^(1+x/2) × 3^(5x/2), which is the simplified version of the original expression.

Answer:

80,640 IN 3

Step-by-step explanation:

Answer:

Quadratic Formula x = [-b +- Sq root (b^2 - 4ac)] / 2a

In this example a= 2 b= -6 c= 5

x = [- - 6 +- Sq root ((-6^2) - 4 *2*5)] / 2*2

x = [6 +-sq root (36 -40)] / 4

x = 6 +- 2i / 4

x1 = 1.5 + .5i  

x2 = 1.5 -.5i

Step-by-step explanation:

Answer:

x = 1.5 - .5i and 1.5 + .5i

Step-by-step explanation:

to start off - this is the quadractic fromula: x = -b ± √b²-4(a)(c) / 2(a)

a = 2x²

b = -6x

c = 5

now you just fill the numbers in to the formula!!

x = -(-6) ± √(-6)²-4(2)(5) / 2(2)

x = 6 ± √36 - 40 / 4

x = 6 ± √-4 /4

x = 6 ± 2i / 4

x = 6+ 2i/4     and 6 - 2i/4

x = 1.5 + .5i    amd 1.5 - .5i

hope this helps!!

Answer:

c.200

Step-by-step explanation:

Answer:

5x^2-x-4

Step-by-step explanation:

Combine the terms.

[tex]\bold{Hey\ there!} \\ \bold{-4-2\downarrow}\\ \bold{-4+(-2)}\\ \\ \\ \\ \bullet \bold{negative\ and\ negative = positive} \\ \bullet{\bold{positive\ and\ negative=negative}} \\ \bullet\bold{negative\ and\ positive=negative}\\ \bullet\bold{positive\ and\ positive= positive} \\ \\ \\ \boxed{\bold{This\ means\ that\ your\ answer\ will\ turn\ out\ to\ be\ a\ negative!}} \\ \\ \\ \\ \boxed{\boxed{\bold{Answer:-6(Option\ A.)\checkmark}}}[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ and\ enjoy\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Answer:

The answer is -6

Step-by-step explanation:

Answer: OPTION C

Step-by-step explanation:

By definition, the roots of the quadratic function are the interceptions of the parabol with the x-axis.

As you can see in the graph, the parabola intersects the x-axis at:

[tex]x=-5\\x=1[/tex]

Then these are the roots.

Therefore, this means that:

[tex]x=-5\\x+5=0\\\\x=1\\x-1=0[/tex]

So, the factorization is the following:

[tex](x+5)(x-1)=0[/tex]

ANSWER

[tex]y = (x + 5)(x - 1)[/tex]

EXPLANATION

From the graph, the x-intercepts are

[tex]x = 1[/tex]

and

[tex]x = - 5[/tex]

This implies that (x-1) and (x+5) are factors of the function represented by the graph.

Therefore we factor the function as

[tex]y = (x + 5)(x - 1)[/tex]

The correct choice is C.

Answer:

The first monthly interest is (A) $24.00

Step-by-step explanation:

This question can be soled using the concept of simple interest.

Simple interest can be calculated by the formula,

[tex]S.I = \frac{prt}{100}[/tex]

here P = 2400, r = 12, t 1/12. putting the values in the above equation we get

[tex]S.I = \frac{prt}{100}= \frac{2400*12*1}{100*12}=24.00[/tex]

thus The interest paid in first month is $24.00

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It's A. 2.5

It's not B that person is wrong.