Select the expressions that are equivalent to 9p + 8p.
A. 17p
B. 2p + 16p
C. p • 17
D. 3p + 13p​

Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

Answer:

d

Step-by-step explanation:

took da test

Answer:

I need more details

Step-by-step explanation:

maybe if u just add all of the numbers together , divide or multiple

The students need to earn $182 per month in order to accomplish their goals.

Division is the process of dividing a number by a given number.

Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.

To collect $910 in 5 months, students must earn $910/5 per month.

910/5

= 182

Hence, the students need to earn $182 per month in order to accomplish their goals.

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The function written in vertex form is

\(g(x) =4x^2+88x =4(x+ 11)^2 - 484\)

This is further explained below.

Generally, the equation for the function is  mathematically given as

g(x) = 4x2 + 88x

Therefore,

g(x) = a(x +11)2 + k

\((x +11)x^{2} as\ x^2 + 22x +121\)

\(g(x) = a(x^2 +22x +121) + k\\\\g(x) = ax^2+ 22ax +121a + k\)

Equate eq(a) with eq(b) We obtain,

\(4x^2 + 88x = ax^2 + 22ax +121a + k\)

Examine the x coefficients on both sides of the equation.

a=4 and 22a= 88 ; 121a + k = 0

121(4) = -k

k = -484

\(g(x) =4x^2+88x =4(x+ 11)^2 - 484\)

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CQ

Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = ___ (x +11)² +____.

Answer: The unit rate of the bananas is 0.33$

Step-by-step explanation:

1.98/6 = 0.33$ . 0.33 x 6 = 1.98$

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

17.68 feat long

Step-by-step explanation:

Answer:

17.68 feet

Step-by-step explanation:

Answer:

it will take 450 wave to complete

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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Answer: -1 and -9

Step-by-step explanation:

(- 1) + (-9) = -10

(-1) * (-9) = +9

hope this helps!

Answer:

The upper bound for the total mass of the 50 parcels is 850 kilograms.

Step-by-step explanation:

From statement we infer that upper bound is represented by the 50 identical parcels completely full. Then, the upper bound is the product of number parcels and maximum capacity of each parcel:

\(m_{UP} = (50\,parcel)\cdot \left(17\,\frac{kg}{parcel} \right)\)

\(m_{UP} = 850\,kg\)

The upper bound for the total mass of the 50 parcels is 850 kilograms.

Answer: Yes

Step-by-step explanation:  

Rewriting input as fractions if necessary:

5/9, 1/10

For the denominators (9, 10) the least common multiple (LCM) is 90.

LCM(9, 10)

Therefore, the least common denominator (LCD) is 90.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

5/9 = 5/9 × 10/10 = 50/90

1/10 = 1/10 × 9/9 = 9/90

Answer:

\(4+x=22\)

Step-by-step explanation:

Hope this helps

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Answer:

Step-by-step explanation:

Substitution method can be applied in four steps. Step 1: Solve one of the equations for either x = or y = . Step 2: Substitute the solution from step 1 into the other equation. Step 3: Solve this new equation Happy too help!

Answer:

 Rn ≈ 0.6345

 Ln ≈ 0.7595

Step-by-step explanation:

The interval from -1 to 2 has a width of (2 -(-1)) = 3. Dividing that into 4 equal intervals means each of those smaller intervals has width 3/4.

It can be useful to use a spreadsheet or graphing calculator to evaluate the function at all of the points that define these intervals:

 x = -1, -.25, 0.50, 1.25, 2

Of course, the spreadsheet can easily compute the sum of products for you.

__

The approximation using right end-points will be the sum of products of the interval width (3/4) and the function value at the right end-points:

 Rn = (3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25) +(3/4)f(2)

 Rn ≈ 0.6345

__

The approximation using left end-points will be the sum of products of the interval width (3/4) and the function value at the left end-points:

 Ln = (3/4)f(-1) +(3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25)

 Ln ≈ 0.7595

_____

It is usually convenient to factor out the interval width, so only one multiplication needs to be done: (interval width)(sum of function values).

Step-by-step explanation:

 Rn ≈ 0.6345

 Ln ≈ 0.7595

Step-by-step explanation:

The interval from -1 to 2 has a width of (2 -(-1)) = 3. Dividing that into 4 equal intervals means each of those smaller intervals has width 3/4.

It can be useful to use a spreadsheet or graphing calculator to evaluate the function at all of the points that define these intervals:

 x = -1, -.25, 0.50, 1.25, 2

Of course, the spreadsheet can easily compute the sum of products for you.

__

The approximation using right end-points will be the sum of products of the interval width (3/4) and the function value at the right end-points:

 Rn = (3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25) +(3/4)f(2)

 Rn ≈ 0.6345

__

The approximation using left end-points will be the sum of products of the interval width (3/4) and the function value at the left end-points:

 Ln = (3/4)f(-1) +(3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25)

 Ln ≈ 0.7595

_____

It is usually convenient to factor out the interval width, so only one multiplication needs to be done: (interval width)(sum of function values).

Based on the graph, we can see that the line passes through the point (0,3) as the line is horizontal, therefore the y-intercept is (0,3).

Answer:

(0,4)

Step-by-step explanation:

its where it intersects with the y axis

Answer:

x = 18

Step-by-step explanation:

hope it helps:)

Answer:

The slope is equal to 5.

Step-by-step explanation:

Point 1 (0, 5)

Point 2 (3, 20)

m=y2-y1/x2-x1

m=5-20/0-3

m=-15/-3=

m=5

Answer:

4/5

Step-by-step explanation:

m=y2-y1/x2-x1

=6-2/6-1

4/5

The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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Answer:

Area of parallelogram is: 56 square yards.

Step-by-step explanation:

We are given:

Height of parallelogram = 7 yd

Base of parallelogram = 8 yd

We need to find area of parallelogram

The formula used is: \(Area\:of\: parallelogram = Base*Height\)

Putting values and finding area of parallelogram

\(Area\:of\: parallelogram = Base*Height\\Area\:of\: parallelogram = 7*8\\Area\:of\: parallelogram = 56\)

So, Area of parallelogram is: 56 square yards.

Answer:

It’s 61.40 percent so rounding to the nearest percent would be 61% he needs to increase

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

Step-by-step explanation:

Answer:

I think he should plot the point at (4, 2)

The attachment is a repost showing what I see if Jeff attaches the 3rd point to the listed points.

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

D.280 miles

Step-by-step explanation:

Albert is travelling 70mph (70 miles per hour).

So this can be worked out by:

70 x 4 hours= 280 miles

Answer:

D. 280

Step-by-step explanation:

if he is traveling 70 mph that means every hour he goes 70 miles so in 4 hours he will travel 280 miles

70 mph x 4 hours = 280 miles

The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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