what percent of 70 equals 21

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

Read more about functions at

brainly.com/question/2456547

#SPJ1

Answer:

False

Step-by-step explanation:

1 + 2 (-4) = -7

1 - 8 = -7

-7 = -7

-4 (-4) = -1

16 = -1

Answer

Hi. I just sent you the answer.

Answer:

hn−h−10

Step-by-step explanation:

h(n)=h(n−1)−10

Use the distributive property to multiply h by n−1.

hn−h−10

Answer:

C

Step-by-step explanation:

i just guessed but it was correct

Answer:

1) B = 88°, a = 13.1, b = 26.9

2) C = 73°, a = 20.9, b = 12.6

Step-by-step explanation:

To solve for the remaining sides and angles of the triangle, given two sides and an adjacent angle, use the Law of Sines formula:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies B=180^{\circ}-A-C\)

\(\implies B=180^{\circ}-29^{\circ}-63^{\circ}\)

\(\implies B=88^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies a=\dfrac{24\sin 29^{\circ}}{\sin 63^{\circ}}\)

\(\implies a=13.0876493...\)

\(\implies a=13.1\)

Solve for b:

\(\implies \dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies b=\dfrac{24\sin 88^{\circ}}{\sin 63^{\circ}}\)

\(\implies b=26.9194211...\)

\(\implies b=26.9\)

\(\hrulefill\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies C=180^{\circ}-A-B\)

\(\implies C=180^{\circ}-72^{\circ}-35^{\circ}\)

\(\implies C=73^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies a=\dfrac{21\sin 72^{\circ}}{\sin 73^{\circ}}\)

\(\implies a=20.8847511...\)

\(\implies a=20.9\)

Solve for b:

\(\implies \dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies b=\dfrac{21\sin 35^{\circ}}{\sin 73^{\circ}}\)

\(\implies b=12.5954671...\)

\(\implies b=12.6\)

Answer:

F, D, E

Step-by-step explanation:

the smallest angle is opposite the smallest side, the largest angle is opposite the largest side, etc.

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

Read more on average here: brainly.com/question/878454

#SPJ1

Answer: The angulier expression

Step-by-step explanation:

Answer: Choice D

Step-by-step explanation:

When we think of proportional relationships, we can think of ratios. The x and y value will be multiplied by the same ratio throughout the table to create equivalent points. The easiest way to do this is to turn the points into fractions and see if they all simplify to the first point, which in this case is 2/3.

4/6 / 2/2 = 2/3

6/9 / 3/3 = 2/3

8/12 / 4/4 = 2/3

2 is being added to the x value each time and 3 is being added to the y value each time. hope this helps!

The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

for such more question on linear equations

https://brainly.com/question/19803308

#SPJ8

The value of 1 unit = 11/8

The value of 5 units = 11/8 × 5 = 55/8

The value of 5 units as a mixed fraction= 6 7/8

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.

If 8 units = 11

therefore 1 unit will be ;

8 units/8 = 11/8

1 units = 11/8

Therefore 5 units = 11/8 × 5 = 55/8

5 units in improper fraction is 55/8

= 6 7/8

learn more about rate from

https://brainly.com/question/25793394

#SPJ1

Answer:

A is correct.

0 < x < 75 represents the correct domain.

Answer:

B

Step-by-step explanation:

Answer:

k' = (-3,0)

j' = (0,5)

l' = (-3,3)

Step-by-step explanation:

if you reflected over the x- axis

then the y points would would change to the opposite

k = (-3,0)

j = (0,-5)

l = (-3,-3)

Answer:side B middle length!

Step-by-step explanation:

The real-world problem involving perimeter is that the perimeter of a rectangle of length 18 units and width 15 units is 66 units

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

2 x 18 + 2 x 15 = 66

The perimeter of a rectangle can be calculated using

Perimeter = 2 x Length + 2 x Width

Using the above as a guide, we have the following:

Read more about perimeter at

https://brainly.com/question/18019422

#SPJ1

\( \frac{5}{7} = \frac{5 \times 4}{7 \times 4} = \frac{20}{28} \)

Answer: 20/28.

Hiker travels \(\frac{5}{2} km\) in \(\frac{2}{3}hours\) with speed of \(3\frac{3}{4} km/hr\).

Defining speed as the speed at which an object's location changes in any direction.

The distance traveled in the context of the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The speed formula is provided as:

\(v=\frac{d}{t}\);

where d is distance travelled, t is time taken and v is speed or velocity.

Average speed determined by the ratio of the total distance traveled by an object to the entire amount of time it took to travel that distance.

Given;

Average speed=\(3\frac{3}{4}=3+\frac{3}{4}=\frac{15}{4}\);

Average speed=\(\frac{d}{t}=\frac{15}{4}\);

Given total time \(\frac{2}{3}hours\);

⇒\(d=\frac{2}{3}*\frac{15}{4}=\frac{5}{2} km\);

Hiker travels \(\frac{5}{2} km\) in \(\frac{2}{3}hours\) with speed of \(3\frac{3}{4} km/hr\).

To refer more about speed, visit:

brainly.com/question/25749514

#SPJ1

SOLUTION

In this question, we are meant to find the missing number in the equivalent fractions:

30/100 = X / 10​

Cross- multiply, we have:

30 x 10 = 100 x X

300 = 100 X

Divide both sides by 100, we have :

X = 3

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

To know more about Integral.

https://brainly.com/question/27419605

#SPJ8

Answer:

A, C, D

Step-by-step explanation:

P(x) = 1600+1200*x, clearly x represents the number of cars solved as it's a variable. 1600 is the base pay and 1200 is the commission he get on each variable/car

Answer:

B,C,D

Step-by-step explanation:

I got this on usatestprep.

Answer:

  11

Step-by-step explanation:

The first 12 terms of the sequence are ...

  1 1 2 3  5 8 13 21  34 55 89 144

The first term that is greater than 60 is the 11th term, 89.

  n = 11

Answer:

Step-by-step explanation:

\(\frac{165}{570}\) = 0.2894

multiply by 100 to turn into percentage

a)The value of acceleration will be 4.8 m/s²

b)The total distance travelled is 505 m.

a) As all the movement happens along a straight line, we need to define an axis only, which we call x-axis, being the positive direction the one followed by the car.

We can choose to place our origin at the location where the motorcycle was stopped at the side of the road (assuming that it is the same point  for the car when it passes him), so our initial position is 0.

We can also choose our time origin to be the same as the instant that the motorcycle starts from rest, so t₀ = 0.

With these assumptions, and assuming also that the acceleration is constant, we can write two equations, one for the car (at constant speed) and the another one for the motorcycle, as follows:

xc = vx*t

xm= 1/2*a*t²

When the motorcycle passes the car, both distances traveled from the origin will be equal each other, i.e., xc = xm :

⇒ vx*t = 1/2*a*t²

We have as givens vx=35 m/s and t = 14.5 sec when both equations are equal each other.

⇒ 35 m/s* 14.5 s = 1/2*a*(14.5)²(s)²

Solving for a:

a = (2* 35 m/s) / 14.5 s = 4.8 m/s²

b) Replacing the value of a in the equation for xm, we have:

xm = 1/2*4.8 m/s²* (14.5)²s² = 505 m.

Learn more about Distance travelled at:
https://brainly.com/question/24283318

#SPJ1

In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

Step-by-step explanation:

Or,

Or,

Answer:

5 Lights

Step-by-step explanation:

L = .25 * 20 = 5 Lights.

Answer:

20 X 1/4 (25%)=5

5 lights didn't work

Step-by-step explanation:

The two equations which can be used to represent the situation are;

r + s = 1787

4r + 3s = 5,792

The correct answer choice is option B and E

Reserved seat for basketball game = r

Students seat for basketball game = s

Cost of reserved seat tickets = $4

Cost of students tickets = $3

Total number of people who attended the basketball game= 1,787 people

Total amount earned for tickets sales= $5,792

r + s = 1787

4r + 3s = 5,792

Therefore, the basketball game situation can be represented by the equation r + s = 1787; 4r + 3s = 5,792

Read more on equation:

https://brainly.com/question/13729904

#SPJ1

ANSWER

EXPLANATION

H(x) represents the percent of US households with internet use x years after 1980.

What this function already tells us is that in this function, the percentage of US households with internet use is dependent on the number years after 1980.

Therefore, H(23) = 55 would mean that:

x = 23

Therefore, 23 years after 1980 (2003), 55% of US households use the internet.

In otherwords, 55% of US households have internet us