Find angle. Picture below!

Step-by-step explanation:

so basically they are asking you to subtract, hope this helps, use a calculator if needed

Answer:

5

Step-by-step explanation:

The interquartile range is the 3rd quartile minus the 1st quartile. The 3rd quartile is 8 and the 1st quartile is 3.

8 - 3 = 5

The interquartile range (IQR) of the data is 5.

From the box plot we can write,

Minimum = 2

First Quartile, Q1 = 3

Median = 6

Third Quartile, Q3 = 8

Maximum = 10

So, Interquartile range (IQR)

= Q3 - Q1

= 8 - 3

= 5

Thus, the interquartile range (IQR) of the data is 5.

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Answer:

let marked price = x

on 10% discount, price= x-10%of x

=x-(10x/100)

=x-(x/10)

=9x/10

on further 10% discount, total discount = 10% of 9x/10

=10/100 * 9x/10

= 9x/100

= 9%of x

hence, the single discount given on marked price is 9%

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Multiply across

Hope this helps

Answer:

z = 71

Step-by-step explanation:

this is the answer for this equation

Answer:

z=71

Step-by-step explanation:

Answer:

6x=18

x=18/6

x=3.

-3x=15

x=15/-3

x=-5

7x=-63

x=-63/7

x=-9

5x-3=12

5x=12+3

5x=15

x=15/5

x=3

-4x+1=13

-4x=13-1

-4x=12

x=12/-4

x=-3

-x+9=16

-x=16-9

-x=7

x=7/-1

x=-7

Answer: He travelled 392 km that day.

Step-by-step explanation:

We are given that,

Speed of electric car = 56 km per hour.

Time = 7 hours

We know that,

Distance = Speed x Time

If he travelled 7 hours on that day, then Distance traveled in 7 hours on that day= (56 km per hour)  x (7 hours)

i.e. Distance traveled in 7 hours on that day== 392 km

Hence, he travelled 392 km that day.

Answer:

a. area of triangle: A=1/2(b)(h)

                               A= 1/2 (3)(2.4)

                               A= 3.6cm^2

All the triangles have the same area, so Total area of the triangles is

A= 4(3.60)

A= 14.4 cm^2

Area of the square: A= s^2 (3)^2= 9cm^2

Total surface area o the Pyramid:  14.4+ 9=23.4cm^2

b. Lateral surface area of the Pyramid: A= 1/2 P(l)              

                                                                 A= 1/2 (12)(4)

                                                                  A= 24cm^2

 P is perimeter of the base= (3)(4)=12cm

 l s the slant height= 4cm

Step-by-step explanation:

Answer:

25.6

Step-by-step explanation:

16*2=32

32*0.8=25.6

Answer:

25.6

Step-by-step explanation:

16x.8=12.8

because he makes it every half mile we have to multiply by 2\

12.8*2=25.6

if he walks 16 miles he makes 25.6

Answer:

A

Step-by-step explanation:

Answer:

sax

SI = $432

P = $1200

rate = x

time = x

= 432 = t×p×r / 100

= 432 = x × 1200 × x / 100

= 432 = x × 12 × x

= 432 = 2x × 12

= 432/12 = 2x

= 6 = 2x

= 6 ÷ 2 = x

= 3 = x

The rate of interst is 3%

Step-by-step explanation:

Answer:

3.6c + 7.5t <= 21,600

Step-by-step explanation:

Let c = number of cars, and let t = number of trucks.

c cars weigh 3.6c tons, and t trucks weigh 7.5t tons.

3.6c + 7.5t <= 21,600

Answer:

A

Step-by-step explanation:

A is the answer for the first question I did the math on edge

The second one after is B

We are Simplifying Rational Expressions with Negative Exponents

Answer:

A.) Afriv

Step-by-step explanation:

Heat oven to 350°F. Generously grease 12-cup fluted tube pan with shortening or cooking spray. In large 1-gallon plastic food storage bag, mix granulated sugar and cinnamon.

2

Separate dough into 16 biscuits; cut each into quarters. Shake in bag to coat. Arrange in pan, adding walnuts and raisins among the biscuit pieces. Sprinkle any remaining sugar over biscuits.

3

In small bowl, mix brown sugar and butter; pour over biscuit pieces.

4

Bake 30 to 40 minutes or until golden brown and no longer doughy in center. Loosen edges of pan with metal spatula. Cool in pan 5 minutes. Turn upside down onto serving plate; replacing any biscuit pieces and caramel from pan. Pull apart to serve. Serve warm.

Answer:

-3 ≥ b is your inequality

Step-by-step explanation:

Answer:

1) D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Step-by-step explanation:

Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president

Given that;

P(D) = 0.23

P(R) = 0.64

Conditional P(D | R) =  0.35

1) Are R and D independent events?

we know that two events A & B are independent events if; P(B | A) = P(B)

here, P(D | R) =  0.35 and P(D) = 0.23

so; P(D | R) ≠ P(D)

Therefore D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020;

we know that;

P(D | R) = P(D ∩ R) / P(R)

we substitute

0.35 = P(D ∩ R) / 0.64

P(D ∩ R) = 0.35 × 0.64

P(D ∩ R)  = 0.224

Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?

P(R | D) = P(D ∩ R) / P(D)

we substitute

P(R | D) = 0.224 / 0.23

P(R | D) = 0.9739

Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both

P(D ∪ R) = P(D) + P(R) - P(D ∩ R)

we subtitute

P(D ∪ R) = 0.23 + 0.64 - 0.224

P(D ∪ R)  = 0.646

Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Answer:

The answer is below

Step-by-step explanation:

The car is moving in a circular track with a radius of 1.9 miles. The distance covered by the car if the track is revolved once = 2π * radius of the track.

a) Since the car has swept out an angle of 212 degrees, the distance covered by the race car = [tex]\frac{212}{360}*2\pi(1.9)=7.03 \ miles[/tex]

b) If the car traveled 4.9 miles, the angle swept out (θ) is:

[tex]4.9= \frac{\theta}{360} * 2\pi r\\\\\theta=\frac{4.9}{2\pi (1.9)}*360 \\\\\theta=147.76^o=147.76^o*\frac{\pi}{180} \\\\\theta=2.58\ rad[/tex]

c) h = distance covered, t = time in hourss.

Hence:

h = 85.5t

The race-car's motion round the track is a repeating motion that can be

described by a sinusoidal function.

The correct responses are;

Reasons:

Known parameters are;

Radius of the track, r = 1.9 miles

Point the car starts = 3 O'clock

Speed of the car = 85.5 mph

Required:

Distance swept out when the car traveled an angle of 212°.

Solution;

Distance of one complete turn = 2·π·r

Angle of one complete turn = 360°

Therefore, at 212°, we have;

[tex]\dfrac{212^{\circ}}{360^{\circ}} \times 2 \times 1.9 \times \pi \approx 7.03[/tex]

Required:

The measure of the angle swept out by the car if the car has travelled 4.9 miles.

Solution;

Let, θ represent the angle, we have;

[tex]\dfrac{\theta}{2 \cdot \pi} \times 2 \times 1.9 \times \pi \approx 4.9 \ miles[/tex]

We get;

[tex]{\theta} = \dfrac{4.9 \ miles}{2 \times 1.9 \ miles \times \pi } \times 2\cdot \pi \approx 2.58 \ radians[/tex]

Required:

The function, h, that gives the distance of the above the horizontal

diameter of the track (in miles) in terms of the number of hours since the

race-car started driving, t.

Solution;

The function that gives the car height can be presented as follows;

The angular velocity, ω = [tex]\dfrac{v}{r}[/tex]

Therefore;

[tex]\omega = \dfrac{85.5 \ mph}{1.9 \ miles} = 45 \ rad/hour[/tex]

The general form of the sinusoidal function is h = A·sin[k·(θ - b)] + c

Therefore, we get;

h = 1.9·sin[k·(θ - b)] + c

The period, T = 2·π/ω = 2·π/k

Therefore, given that ω·t = θ, we get;

h = 1.9·sin[ω·t - b] + c = 1.9·sin[45·t - b] + c

The vertical sift, c, and the horizontal shift, b, can both be taken as zero,

given that the sin(0) = 0, therefore;

h = 1.9·sin[0] + c = c = 0, such that the at the start, t = 0, the car is at a

distance of h = 0 above the horizontal line.

The function, h, that gives the distance of the car above the

horizontal track, in terms of the number of hours since the car started

driving, t, is therefore;

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Answer:

b.

Step-by-step explanation:

Answer:

She will pay $13.9 for 7.56 liters

Step-by-step explanation:7.56 minus 3.78 equals to 3.78. This means we can just simply add another $6.95, so $6.95 plus $6.95 equals to $13.9

Answer:

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta= b^{2} - 4ac[/tex]

Quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The rock reaches a maximum height of 676 feet above the ground after 1.5 seconds.

This means that:

[tex]-\frac{b}{2a} = 1.5[/tex]

[tex]y_{v} = -\frac{b^2-4ac}{4a} = 676[/tex]

If the rock hits the ground below the ledge 8 seconds after it is thrown

This means that:

[tex]64a + 8b + c = 0[/tex]

Relation of b and a:

[tex]-\frac{b}{2a} = 1.5[/tex]

This means that:

[tex]b = -3a[/tex]

Relationship of c and a:

[tex]64a + 8b + c = 0[/tex]

[tex]64a - 24a + c = 0[/tex]

[tex]c = -40a[/tex]

Finding a:

[tex]y_{v} = -\frac{(-3a)^2-4a(-40a)}{4a} = 676[/tex]

[tex]9a^2+160a = -2704a[/tex]

[tex]9a^2 + 2864a = 0[/tex]

[tex]a(9a + 2864) = 0[/tex]

Since it is a quadratic equation, a cannot be 0.

[tex]9a + 2864 = 0[/tex]

[tex]9a = -2864[/tex]

[tex]a = -\frac{2864}{9}[/tex]

[tex]a = -318.22[/tex]

Finding b and c:

[tex]b = -3a = -3(-318.22) = 954.67[/tex]

[tex]c = -40a = -40(-318.22) = 12728.89[/tex]

The quadratic equation is given by:

[tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Answer:

A. 2

Step-by-step explanation:

∛8 = 2

There is only one correct value to it so it can't be negative and positive 2, the answer is positive 2 so,

= 2

Answer:

no

Step-by-step explanation:

5/8=0.6250 so its rational

Answer: no

Step-by-step explanation: 5/8 is rational because it is another way of writing the ratio 5:8. So no, 5/8 is not an irrational number.

Answer:it’s c y=|x-5|-4

Step-by-step explanation:

The correct function which is graphed is,

D. [tex]y = |x- 5| - 4[/tex]

We have to give that,

A graph of a function is shown in the image.

Now, From the graph;

Two points on the function are (0, 1) and (5, 4).

Since both points are lies on the graph of a function, hence it satisfies the equation of the function.

From the given function,

A. [tex]y = |x + 5|+ 4[/tex]

Substitute x = 0, y = 1;

1 = |0 + 5| + 4

1 = 5 + 4

1 = 9

Which is not true.

B. [tex]y = |x -5| + 4[/tex]

Substitute x = 0, y = 1;

1 = |0 - 5| + 4

1 = 5 + 4

1 = 9

Which is not true.

C. [tex]y = |x + 5| - 4[/tex]

Substitute x = 0, y = 1;

1 = |0 + 5| - 4

1 = 5 - 4

1 = 1

Which is true.

And, Substitute x = 5, y = 4;

4 = |5 + 5| + 4

4 = 10 + 4

4 = 14

Which is not true.

D. [tex]y = |x- 5| - 4[/tex]

Substitute x = 0, y = 1;

1 = |0 - 5| - 4

1 = 5 - 4

1 = 1

Which is true.

And, Substitute x = 5, y = 4;

4 = |5 - 5| + 4

4 = 0 + 4

4 = 4

Which is true.

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Answer: 400 because when they test 200 they get that 4 are dead wich is 1/50 of 200 so 1/50 times 20,000 is 400

Step-by-step explanation:

Complete Question:

If a 100kg bag of rice cost #120, how many kilogram of rice can one buy for #40

Answer:

33 kilograms.

Step-by-step explanation:

Given the following data;

100 kg of rice = #120

1 kg of rice = #x

Cross-multiplying, we have;

100x = 120

x = 120/100

x = 1.2

Now, to find how much #40 can buy;

[tex] Quantity = \frac {Cost}{Cost \; of \; a \; bag} [/tex]

Substituting into the equation, we have;

[tex] Quantity = \frac {40}{1.2} [/tex]

Quantity of rice = 33.33 ≈ 33 kilograms.

Method II

100 kg of rice = #120

x kg of rice = #40

Cross-multiplying, we have;

120x = 40 * 100

x = 4000/120

x = 33.33 ≈ 33 kilograms.