A rocket is launched in the air. Its height in feet is given by h(t)= -16t^2+88t where t represents the time in seconds after launch. How long is the rocket in the air?


Answer: ___ seconds

Explanation:

Use the distributive property to pull out the -3

When going in reverse like this, we divide each term by -3

-3x/(-3) = x

9/(-3) = -3

So -3x+9 = -3(x-3)

We can verify this by multiplying the -3 outside with each term inside

-3 times x = -3x

-3 times -3 = 9

This shows how -3(x-3) turns into -3x+9 again.

Answer:

-75/64

Step-by-step explanation:

(-6,9)

Step-by-step explanation:

Answer: Total cost would be $53. 24 including tax which is $3.25

Step-by-step explanation:

The value of DE=f= 8.5 units, ∠D=39.5° and ∠F=  50.5°using SIne-Law, on the basis of values given in the triangle DEF,  ∠E=90°, Side EF=d=7 units and Side DF= e=11 units.

What is Sine-Law?

The sine law is defined as the reciprocal of the length of the opposing side to the sine of the angle. Regarding their sides and angles, it is true for each of a triangle's three sides. trigonometric sine law In a triangle ABC, the sine of one angle is equal to the sine of another angle divided by the side a, which is equal to the sine of another angle divided by the side b, which is equal to the sine of another angle divided by the side c.

Sine law:\(\frac{e}{SinE} =\frac{f}{SinF} =\frac{d}{SinD}\) or \(\frac{SinE}{e} =\frac{Sin F}{f} =\frac{SinD}{d}\)

Given that in ΔDEF, ∠E=90°, Side EF=d=7 units and Side DF= e=11 units.

Using \(\frac{SinE}{e} =\frac{SinD}{d}\) ,we can evaluate ∠D

         \(\frac{Sin 90}{11} =\frac{SinD}{7}\)

            \(\frac{1}{11}\)   = \(\frac{SinD}{7}\)

      SinD   =    \(\frac{1}{11}\)  × 7

      Sin D = 0.6363

          ∠D = 39.52

On rounding off ∠D = 39.5°.

For ∠F, we can use angle sum property of triangle:

∠E + ∠F + ∠D = 180°

90 + ∠F + 39.5 = 180°

                   ∠F = 180-129.5

                    ∠F = 50.5°

And for side DE=f, we can use

\(\frac{e}{SinE} =\frac{f}{SinF}\)

\(\frac{11}{Sin 90}\)  = \(\frac{f}{Sin50.5}\)

\(\frac{11}{1}\)      =\(\frac{f}{0.7716}\)

      f = 11 x 0.7716

      f = 8.48

On rounding off f, DE =8.5 units

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Step-by-step explanation:

I have two step

step 1

32+b=54

32+9=54

41=54

you divide both side by 41 and the answer is 1 and 1

step two

32+b=54

b=54-32

9=22

you divide both side by 9 and the answer is 2,44

Answer:

35 PC's baked used has then

Answer:

0.7

Step-by-step explanation:

1.5 - 0.8 = 0.7 :)) hope u get it right!!!

The distance between the school and the park will be 0.7 miles.

Distance is defined as the length between the two points just like in the question it is the length between the school and the park.

Given that:-

The distance will be calculated as:-

Distance   =   1.5   -   0.8   =   0.7 miles  

Therefore the distance between the school and the park will be 0.7 miles

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To evaluate the left and right Riemann sums for n=10 over the interval [0,5], we will use tabulated values of f. The Riemann sum is a method used to approximate the area under a curve by dividing the interval into subintervals and evaluating the function at specific points within each subinterval.

The left Riemann sum uses the left endpoints of the subintervals, while the right Riemann sum uses the right endpoints. In this case, we are given tabulated values of f, which means we have specific function values at certain points. To evaluate the left and right Riemann sums, we will use these tabulated values.

First, we divide the interval [0,5] into 10 equal subintervals since n=10. Each subinterval will have a width of (5-0)/10 = 0.5. For the left Riemann sum, we evaluate the function at the left endpoints of each subinterval. Starting from the left endpoint of the interval, we use the tabulated values of f to find the corresponding function values for each subinterval and sum them up.

For the right Riemann sum, we evaluate the function at the right endpoints of each subinterval. Starting from the right endpoint of the interval, we use the tabulated values of f to find the corresponding function values for each subinterval and sum them up.

By evaluating the left and right Riemann sums, we can approximate the area under the curve represented by the function f over the interval [0,5]. The Riemann sum provides an estimation of the integral of the function and is a fundamental concept in calculus for understanding and approximating areas and other quantities.

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The number of new phone sold is 1 and the number of old phone sold is 5, if the sales for the day totals $625.

It is given that

A new phone sells for $250

and a used one sells for $75

Let number of new phone is sold = x

and number of old phone is sold = y

Here the total profit for the day is $625

So, 250x + 75y = 625

or 10x + 3y = 25

Now the value of x  and y satisfy the above equation, if we take x = 2 and more than 2, it is clear that it not satisfy the above equation. So we made a conclusion here x must be equal to 1 here.

Now, if x = 1

10(1) + 3y = 25

3y = 15

y = 5

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The product of 12 and 7/10 is 8.4.

To multiply a whole number and a fraction, you can follow these steps:

The product of 12 and 7/10 is 8.4. To find the product of two numbers, you simply multiply them together.

In this case, you would multiply 12 by 7/10:

12 * 7/10 = 84/10 = 8.4

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The person that has the higher average speed is Teresa.

Average speed is calculated by dividing the total distance that something has travelled by the total amount of time it took it to travel that distance.

Therefore, Karl drove 40 miles in 50 minutes and Teresa drove 35 miles in 42 minutes.

The person that has the higher average speed can be calculated as follows;

average speed of Karl = distance / time

average speed of Karl = 40 / 50

average speed of Karl = 4 / 5 miles per minutes

average speed of Teresa = distance / time

average speed of Teresa = 35 / 42

average speed of Teresa = 5 / 6 miles per minutes

Therefore, Teresa had the higher average speed.

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Answer:

a rhombus

Step-by-step explanation:

Her entire monthly phone bill is $153.37, which includes long distance calls of $119.68, $84.36, and $68.49, as well as local calls of $21.00.

To figure out the student's total average monthly phone expense, combine her long distance phone bills ($119.68 + $84.36 + $68.49) and her local phone bill ($21.00), then divide the total by three (the number of months). The sum of the three long distance phone bills is $272.53, which is added to the $21.00 local phone charge for a total of $293.53. By dividing this sum by three, we get a monthly phone charge of $153.37. In summary, the student's total average monthly phone bill is $153.37, which includes long distance calls of $119.68, $84.36, and $68.49, as well as local calls of $21.00.

Here,

Long distance phone bills total:

$119.68 + $84.36 + $68.49

= $272.53

Local phone bill: $21.00

Total: $272.53 + $21.00

= $293.53

Average monthly phone bill:

$293.53 / 3

= $153.37

Her entire monthly phone cost is $153.37, which includes $119.68, $84.36, and $68.49 for long distance calls and $21.00 for local calls.

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Answer:

180-165= 15

(They tried to throw you off with the second line)

Answer is 15 degrees

The number 6 will be the first to be removed from the stack.

To determine which number will be the first to be removed from the stack when the values 6, 2, 7, 13, 5, and 4 are added in that order, we need to consider the Last-In-First-Out (LIFO) principle of stack data structures.

In a stack, the most recently added element is the one that is at the top of the stack and the first to be removed. As each number is added to the stack, it becomes the new top element.

Given the order of values added to the stack, the sequence would be as follows:

6 (top) -> 2 -> 7 -> 13 -> 5 -> 4 (bottom)

Since 6 is the first value added to the stack, it will be at the top and will be the first to be removed when performing stack operations.

Therefore, the number 6 will be the first to be removed from the stack.

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Answer:

A =2.5 cm^2

Step-by-step explanation:

The area of a circle is

A = pi r^2 where r is the radius

r = d/2 where d is the diameter

r = 1.8 /2 = .9

A = 3.142 ( .9)^2

A=2.54502

Round to 1 decimal place

A =2.5 cm^2

the coordinates of the two points located 5 units from M are:

(-6 + sqrt(25 - (y - 6)^2), y)

(-6 - sqrt(25 - (y - 6)^2), y)

where y is any number between 1 and 11.

There are two possible points located 5 units from point M since we can move in either direction. We can find these points by using the distance formula:

Distance between M and the other point = 5

Let the coordinates of the other point be (x, y)

Using the distance formula:

sqrt[(x - (-6))^2 + (y - 6)^2] = 5

Simplifying:

sqrt[(x + 6)^2 + (y - 6)^2] = 5

Squaring both sides:

(x + 6)^2 + (y - 6)^2 = 25

Expanding and simplifying:

x^2 + 12x + y^2 - 12y + 13 = 0

Now we have an equation of a circle centered at (-6, 6) with radius 5. The points located 5 units from M are the points on this circle. We can use this equation to find the coordinates of these points.

Let's rewrite the equation in standard form:

(x + 6)^2 + (y - 6)^2 = 25

x^2 + 12x + 36 + y^2 - 12y + 36 = 25

x^2 + y^2 + 12x - 12y + 47 = 0

Now we can use the standard form equation to find the coordinates of the two points on the circle that are 5 units from M. One way to do this is by completing the square:

(x + 6)^2 - 36 + (y - 6)^2 - 36 + 47 = 0

(x + 6)^2 + (y - 6)^2 = 25

(x + 6)^2 = 25 - (y - 6)^2

x + 6 = +/-sqrt(25 - (y - 6)^2)

x = -6 +/- sqrt(25 - (y - 6)^2)

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Answer:

-1  3/ 4

Step-by-step explanation:

\(\underline{\boxed{\sf{-7x^2 - \frac{13}{10} x +5}}}\)

\(\sf{(-11x^2 + 1.4x - 3) + (4x^2 - 2.7x + 8)}\)

Remove the parentheses:

\(\sf{-11x^2 + 1.4x - 3 + 4x^2 - 2.7x + 8}\)

Convert decimal to fraction:

\(\sf{-11x^2 + \frac{14}{10} x - 3 + 4x^2 - \frac{27}{10} x + 8}\)

Reduce fraction to the lowest term by canceling the greatest common factor:

\(\sf{-11x^2 + \frac{7}{5} x - 3 + 4x^2 - \frac{27}{10}x + 8}\)

Combine like terms:

\(\sf{-7x^2 - \frac{13}{10} x +5}\)

Answer:

5,000.

¡Espero que ayude!

Step-by-step explanation:

Answer:

v=5

Step-by-step explanation:

Answer:

V=5

Step-by-step explanation:

Step-by-step explanation:

the notation f(-2) indicates that you will substitute x for the value -2.

f(-2) = 6 ( 8 - (-2) ) +5 = 65

Answer:

To find Rs(1,0) and Rt(1,0), we need to use the chain rule of partial differentiation.

Rs(1,0) can be found by computing the partial derivative of R with respect to s, while holding t constant and then evaluating the result at (1,0). Similarly, Rt(1,0) can be found by computing the partial derivative of R with respect to t, while holding s constant and then evaluating the result at (1,0).

Using the chain rule, we have:

Rs = Fu * us + Fv * vs

Rt = Fu * ut + Fv * vt

We are given the values of u, v, us, ut, vs, vt, Fu, and Fv at the point (1,0) and the values of u and v at the point (2,3). We can use these values to compute Rs(1,0) and Rt(1,0) as follows:

Rs(1,0) = Fu(2,3) * us(1,0) + Fv(2,3) * vs(1,0)

= (-1) * (-2) + (10) * (5)

= 52

Rt(1,0) = Fu(2,3) * ut(1,0) + Fv(2,3) * vt(1,0)

= (-1) * (6) + (10) * (4)

= 34

Therefore, Rs(1,0) = 52 and Rt(1,0) = 34

Answer:

it should be 43 percent left

Step-by-step explanation:

Answer:

Step-by-step explanation:

See attached diagram (not to scale).

All given details reflected.

a) Find the measure of XZ using the law of cosines:

b) Now using the law of sines find the measure of angle X:

The bearing of Z from X is:

p= 610/62, or 9.84 hope this hopes (5)

Answer:

the answer is 5.

Step-by-step explanation:

hope this helps..

The appropriate "Null-Hypothesis" would be (a) population proportion is equal to 0.60.

In hypothesis testing, the null-hypothesis (H₀) represents the default assumption or claim that is being tested. It is generally stated as an equality or a specific value that is being tested against an alternative hypothesis (H₁).

In this case, the null-hypothesis is stating that the population proportion is equal to a specific value of 0.60. The alternative hypothesis, which is not provided in the options, would state a different relationship or inequality, such as the population proportion being greater than or less than 0.60.

The other options (b) the population proportion is not equal to 0.60 and (c) the sample-proportion is equal to 0.60, are not appropriate null hypotheses because they do not directly test population proportion.

Therefore, the correct option is (a).

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The given question is incomplete, the complete question is

Which of the following would be appropriate null hypothesis?

(a) the population proportion is equal to 0.60

(b) the population proportion is not equal to 0.60

(c) the sample proportion is equal to 0.60

(d) all these choices are true.

The appropriate null hypothesis would be a. The population proportion is equal to 0.60.

In hypothesis testing, the null hypothesis is a statement that assumes there is no significant difference or relationship between variables. It is often denoted as H0. The null hypothesis is typically the opposite of the alternative hypothesis, which suggests that there is a significant difference or relationship.

For the given options:

Based on the given options, the appropriate null hypothesis would be:

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#SPJ11a. The population proportion is equal to 0.60.

An equation for the constant of proportionality is (b) y = kx

From the question, we have the options to represent the given parameters

An equation that represents a constant of proportion passes through the origin

So, we have the following points

(x, y) = (0, 0) and (x, y)

The slope (k) is then calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

k = (y - 0)/(x - 0)

Evaluate the difference

k = y/x

Make y the subject

y = kx

Hence, the constant of proportionality has an equation of (b) y = kx

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