The polynomial −16t^2+550 gives the height of a ball t seconds after it is dropped from a 550-foot-tall building. Find the height after t=2 seconds.

Answer:

C = 31.4 cm

Step-by-step explanation:

C = pi * d where d is the diameter

C = 3.14 * 10

C = 31.4 cm

Circumference = pi x diameter

                         = 3.14 x 10

                         = 31.4 cm

The answer is D. 31.4 cm.

Answer:

  51 inches

Step-by-step explanation:

The centroid G divides each median into the ratio 2:1, so GF is 1/3 of CF. That is, ...

  CF = 3(GF) = 3(17 in)

  CF = 51 in

Answer:

[tex]Mean = 344[/tex]

Step-by-step explanation:

Given

[tex]Population = 1013[/tex]

Let p represents the proportion of those who worry about identity theft;

[tex]p = 66\%[/tex]

Required

Mean of those who do not worry about identity theft

First, the proportion of those who do not worry, has to be calculated;

Represent this with q

In probability;

[tex]p + q = 1[/tex]

Make q the subject of formula

[tex]q = 1 - p[/tex]

Substitute [tex]p = 66\%[/tex]

[tex]q = 1 - 66\%[/tex]

Convert percentage to fraction

[tex]q = 1 - 0.66[/tex]

[tex]q = 0.34[/tex]

Now, the mean can be calculated using:

[tex]Mean = nq[/tex]

Where n represents the population

[tex]Mean = 1013 * 0.34[/tex]

[tex]Mean = 344.42[/tex]

[tex]Mean = 344[/tex] (Approximated)

Answer:

Hey there!

The common ratio is 5, because you multiply by 5 to get from one term to the next.

Hope this helps :)

Answer:

5

Step-by-step explanation:

To find the common ratio take the second term and divide by the first term

55/11 = 5

The common ratio would be 5

Answer:

b. 0.585

Step-by-step explanation:

According to Bayes' theorem:

[tex]P(A|B)=\frac{P(B|A)*P(A)}{P(B)}[/tex]

Let A = Person is infected, and B = Person tested positive. Then:

P(B|A) = 93.9%

P(A) = 5.8%

P(B) = P(infected and positive) + P(not infected and positive)

[tex]P(B) = 0.058*0.939+(1-0.058)*0.041\\P(B)=0.09308[/tex]

Therefore, the probability that a person has the disease given that the test result is positive, P(A|B), is:

[tex]P(A|B)=\frac{0.939*0.058}{0.09308}\\P(A|B)=0.585[/tex]

The probability is 0.585.

Answer:

Step-by-step explanation:

Complete Question

The complete question is  shown on the first uploaded image

Answer:

The  area is  [tex]A =8 sq\cdot unit[/tex]

Step-by-step explanation:

   From the question we are told that

     The  first equation is [tex]f(x) = x^2 + x \ \ \ x< 1[/tex]      

                                                                                    [tex]on[ -2 , 3 ][/tex]

      The  second equation is  [tex]f(x) = 2 x \ \ \ x \ge 1[/tex]  

This means that the limit of the area under the enclosed region is limited between -2 to  1  on the x- axis  for first equation and  1 to  3 for second equation

    Now  the area under the region is evaluated as

                   [tex]A = \int\limits^1_{-2}{x^2 + x } \, dx + \int\limits^3_{1}{2x } \, dx[/tex]

                   [tex]A ={ \frac{x^3}{3} + \frac{x^2}{2} + c } | \left \ 1 } \atop {-2}} \right. + {\frac{2x^2}{2} }| \left \ 3} \atop {1}} \right.[/tex]

                  [tex]A =9 + c - 1 -c[/tex]

                 [tex]A =8 sq\cdot unit[/tex]

Answer:

On a coordinate plane, a curve is level at y = -1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, -2).

Step-by-step explanation:

y = -2 ^x -1

On a coordinate plane, a curve is level at y = – 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, -2). Option C is correct.

The Cartesian coordinate plane is a two-dimensional plane with infinite dimensions. On an endless 2d plane, any two-dimensional figure can be drawn. A location is assigned to each point on a Cartesian plane.

On a coordinate plane, a curve is level at y = – 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, -2).

Hence, option C is correct.

To learn more about the Cartesian plane, refer;

https://brainly.com/question/27538987

#SPJ2

The correct question is;

Joey borrows $2400 from his grandfather and pays the money back in monthly payments of $200.

a. Write a linear function that represents the remaining money owed L(x) after x months.

b. Evaluate L(10) and interpret the meaning in the context of this problem.

A) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey still owes his

grandfather after 10 months.

B) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey has paid his

grandfather after 10 months.

C) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey has paid his

grandfather after 10 months.

D) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey still owes his

grandfather after 10 months.

Answer:

A) L(x) = 2400 - 200x

B) Option D is correct

Step-by-step explanation:

A) We are told that Joey borrowed 2400.

Now he pays back in installments of 200 every month.

Thus for x number of months he would have paid 200x.

Thus,the linear function that represents the remaining money owed is;

L(x) = 2400 - 200x

B) L(10) = 2400 - (200 * 10)

L(10) = 2400 - 2000

L(10) = 400

Thus, after 10 months, Joey is owing 400.

So, looking at the given options, the correct one is option D.

Answer:

A= 35°

b= 55°

Step-by-step explanation:

Let's take the small angles of the right angle triangle to be and b

a+b +90= 180....(sum of angles in a right angle triangle)

The measure of one of the small angles of a right triangle is 15 less than twice the measure of the other small angle

2a-15= b

a+2a -15 +90= 180

3a = 180-75

3a= 105

a= 105/3

a= 35°

a+b +90= 180.

35+b+90= 180

b = 180-90-35

b = 55°

Answer:

x = 35°;  y = 55°

Step-by-step explanation:

  Let x = one of the angles

 and y = the other angle. Then

       2x = twice the measure of x and

2x - 15 = 15 less than twice the measure of x

You have two conditions

(1) y = 2x - 15

(2) x+ y = 90

Calculations:

[tex]\begin{array}{lrcll}(1) & y & = & 2x - 15\\(2)& x + y & =&90\\(3)& x + 2x - 15 & =&90&\text{Substituted (1) into (2)}\\& 3x- 15 & = & 90&\text{Simplified}\\&3x & = & 105&\text{Added 15 to each side}\\ (4)& x & = & \mathbf{35}&\text{Divided each side by 3}\\& y & = & 2(35) - 15&\text{Substituted (4) into (1)}\\& & = & 70 - 15&\text{Simplified}\\&&=&\mathbf{55}&\end{array}\\[/tex]

x = 35°; y = 55°

Check:

[tex]\begin{array}{ccc}55 = 2(35) - 15 & \qquad & 35 + 55 = 90\\55 = 70 - 15 & \qquad & 90 = 90\\55 = 55 && \\\end{array}[/tex]

It checks.

Answer:

1.5+1.7/2=1.6

Step-by-step explanation:

Answer: x = 40.5

Step-by-step explanation:

Simply divide 27/(2/3) to get 40.5

Hope it helps <3

Answer:

x= 40.5

Step-by-step explanation:

We want to find out what x is. Therefore, we must get x by itself on one side of the equation.

2/3x= 27

2/3 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 2/3.

2/3x / 2/3 = 27/ 2/3

When dividing by a fraction, you can also multiply by the reciprocal of the fraction.

To find the reciprocal, flip the numerator (top number) and denominator( bottom number)

2/3 —> 3/2

Multiply both sides of the equation by 3/2

2/3x *3/2 = 27*3/2

x= 27*3/2

x= 27/1*3/2

x= (27*3)/(1*2)

x= 81/2

x= 40.5

Answer:

672

Step-by-step explanation:

If we call the number of non-fiction books as x, the number of fiction books would be 3x. Therefore: we can write the following equation:

3x - 120 = 2(x - 24)  ← the 3x - 120 and x - 24 represents the new number of books

3x - 120 = 2x - 48

x - 120 = 48

x = 168 which means 3x = 3 * 168 = 504, therefore the total number of books is 168 + 504 = 672.

Answer:

14 Quarters and 28 dimes

Step-by-step explanation: 14 quarters $3.50

28 dimes is $2.80 total is $6.30

Answer:

Proper: 15/4

Improper: 3 3/4

Step-by-step explanation:

Well to solve the following question,

5/12 + (5/12 + 3/4)

We solve the part in the parenthesis first,

5/12 + 3/4 = 14/4

Simplified -> 7/2

5/12 + 7/2

= 45/12

Simplified -> 15/4

Thus,

the answer is 15/4 or 3 3/4.

Hope this helps :)

Answer:

Step-by-step explanation:

[tex]\frac{5}{12}+\left(\frac{5}{12}+\frac{3}{4}\right)\\\\=\frac{5}{12}+\frac{5}{12}+\frac{3}{4}\\\\\mathrm{Add\:similar\:elements:}\:\frac{5}{12}+\frac{5}{12}=2\times \frac{5}{12}\\=2\times \frac{5}{12}+\frac{3}{4}\\\\=\frac{5\times \:2}{12}\\\\=\frac{10}{12}\\\\=\frac{10}{12}\\\\=\frac{5}{6}+\frac{3}{4}\\L.C.M =12\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\\frac{5}{6}=\frac{5\cdot \:2}{6\times \:2}=\frac{10}{12}\\\\\frac{3}{4}=\frac{3\times \:3}{4\times \:3}=\frac{9}{12}\\[/tex]

[tex]\\=\frac{10}{12}+\frac{9}{12}\\\mathrm{Since\:the\:denominators\:are\:equal\\\:combine\:the\:fractions}:\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{10+9}{12}\\\\=\frac{19}{12}[/tex]

Answer:

147

Step-by-step explanation:

Answer:

When a coin is tossed, we have possibilities of a head, a tail, a head-head, a tail-tail, a head-tail, a tail-head. Similarly, question ratio can be in 1/4, 1/2, 1

Step-by-step explanation:

Ratio of obtaining a head is 0.5 ≡ 50%

Ratio of obtaining a tail is 0.5 ≡ 50%

Ratio of obtaining a head or tail is 0.25 ≡ 25%

Ratio of obtaining a tail or head is 0.25 ≡ 25%

Ratio of obtaining a head is 0.5 ≡ 50%

Ratio of obtaining a tail is 0.5 ≡ 50%

Ratio of obtaining a head or tail is 0.25 ≡ 25%

Ratio of obtaining a tail and head is 0.0625=6.25%

Ratio of obtaining a head and tail is 0.0625=6.25%

Similarly, question ratio can be in 1/4, 1/2, 1

Step-by-step explanation:

Statement: ∠O ≅ ∠O

Reason: Reflexive property

Statement: m∠OKW = 90° − m∠O

Reason: Complementary angles

Statement: m∠OJP = 90° − m∠O

Reason: Complementary angles

Statement: m∠OKW = m∠OJP

Reason: Substitution

Statement: ∠OKW ≅ ∠OJP

Reason: Definition of congruent angles

Statement: ΔOKW ~ ΔOJP

Reason: AA similarity

Answer:

H0:p=0.46, Ha:p<0.46

H0:p=0.39, Ha:p<0.39

Step-by-step explanation:

A one tailed test occurs in such a way that the value/results gotten is one sided and can either be lesser or greater than the particular given value but cannot be both.

Thus, in this case a one sided test includes

H0:p=0.46, Ha:p<0.46

H0:p=0.39, Ha:p<0.39

Answer:

see explanation

Step-by-step explanation:

Using the subtraction identity for sine

sin(a + b) = sinacosb - cosasinb

Given

sin(360 - Θ)°

= sin360°cosΘ° - cos360°sinΘ°

= (0 × cosΘ ) - (1 × sinΘ)

= 0 - sinΘ

= - sinΘ  ← as required

Answer:

Step-by-step explanation:

Since the shape is a cube of side 20cm, then all the side of the cube will be 20cm since all the side of a cube are all equal.

The shortest path the ant can be take is to first travel along the diagonal of the square from point A to the other edge on the front face and then move to point B on its adjacent side on a straight line.

To get the total distance he will take, we will first calcuate the value of the diagonal distance of the square face using pythagoras theorem as shown.

hypotenuse² = opposite² + adjacent²

The opposite = adjacent = 20cm

The hypotenuse is the length of the diagonal that we need.

hyp² = 20²+20²

hyp² = 400+400

hyp² = 800

hyp = √800

hyp = 28.28 cm

The length of the diagonal is 28.28 cm.

Afterwards, the ant will move 20cm to point B from the stopping point.

Total distance will be 28.28 + 20 = 48.28 cm

Answer:

The price before tip was 35

Step-by-step explanation:

Let x = original amount

x * 20% = 7

Change to decimal form

x * .20 = 7

Divide each side by .20

x*.20/.20 = 7/.20

x =35

Answer:

It is a weak negative correlation, and it is likely causal.

Step-by-step explanation:

Correlation coefficient can be said to be a statistical value that shows the relationship between two variables.

Here, the correlation coefficient is 0.26 which means that the magnitude of correlation is low and it causes a weak correlation.

Here, since one variable increases as the other variable decreases, the correlation is said to be negative and weak. We can see that the more a player golf's, the lower the number to required strokes. This would result in a negative slope.

Therefore, It is a weak negative correlation, and it is likely

causal.

Answer:

The correct answer is B on edge 2020.

Step-by-step explanation:

Answer: She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2

Step-by-step explanation:

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

Step-by-step explanation:

Answer:

P = 60 cm

Step-by-step explanation:

To solve this question we will use the property of the tangents drawn from a point to a circle.

"Length of tangents drawn from a point to a circle are equal in measure."

By this property,

Therefore, BG ≅ FB ≅ 7.5 cm

AG ≅ AH ≅ 6.5 cm

CF ≅ EC ≅ 8.5 cm

Since m∠B ≅ m∠D

Therefore, length of tangents FB ≅ GB ≅ DE ≅ DH ≅ 7.5 cm

Since, Perimeter of ABCD = AB + BC + CD + DA

AB = 7.5 + 6.5 = 14 cm

BC = 7.5 + 8.5 = 16 cm

CD = 8.5 + 7.5 = 16 cm

DA = 7.5 + 6.5 = 14 cm

Now Perimeter = 16 + 16 + 14 + 14 = 60 cm

Therefore, P = 60 cm will be the answer.

Answer:

The answer is the first one

Step-by-step explanation:

The rays are: XW, ZY

The lines are: XZ

Rays are with one endpoint and one side that goes forever (aka and arrow).

A line has no endpoint going on forever in both directions.

Answer:

The first one

Step-by-step explanation:

Since a line is an infinite object, with no starting or ending point we symbolize it by an arrow over two points that belong to this line:

[tex]\line{XY}[/tex]

A ray, on the other hand has a starting point and no ending point.

So, in the picture we have a pair of rays, with common points to the line XY

Namely:

XW e ZY

Answer:

a.  $75.60

b.  $1335.60

Step-by-step explanation:

A.  First convert the percentage to a decimal.

6% = 0.06

Multiply the cost of the computer by the decimal to find the tax paid.

$1260 × 0.06 = $75.60

B.  To find the total cost, add the cost of the computer with the tax.

$1260 + $75.60 = $1335.60

Answer:

16.97 Units

Step-by-step explanation:

From the graph

Point W is located at (-6,4)

Point X is located at (6,-8)

To determine the distance between points W and X, we use the distance formula.

[tex]\text{Distance Formula}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex](x_1,y_1)=(-6,4)\\(x_2,y_2)=(6,-8)[/tex]

So,

[tex]WX=\sqrt{(6-(-6))^2+(-8-4)^2} \\=\sqrt{(6+6)^2+(-12)^2}\\=\sqrt{(12)^2+(-12)^2}\\=\sqrt{288}\\=16.97$ units (correct to the nearest hundredth)[/tex]

Answer:

[tex]\boxed{\mathrm{x = 43.8 \ degrees}}[/tex]

Step-by-step explanation:

Let the angle be x

Tan x = [tex]\frac{opposite}{adjacent}[/tex]

Where opposite = 48, Adjacent = 50

Tan x = [tex]\frac{48}{50}[/tex]

Tan x = 0.96

x = [tex]Tan ^{-1}0.96[/tex]

x = 43.8 degrees

Answer:

[tex]\boxed{43.8 \°}[/tex]

Step-by-step explanation:

Use tangent since hypotenuse length is not given.

[tex]tan \theta = \frac{opposite}{adjacent}[/tex]

[tex]tan(x)=\frac{48}{50}[/tex]

[tex]x=tan^{-1}(\frac{48}{50} )[/tex]

[tex]x=43.8[/tex]

Answer: 3/50

Step-by-step explanation:

0.06 = 6/100 , 100 would be the denominator because we have two figures after the decimal point. Each figures can also be represented by 10,

Again,

0.06 = 6 × 10-²

Now 0.06 = 6/100

= 3/50.

Therefore, the fractional form = 3/50 in its lowest term.