Multiply.
(x + 5)(2x - 6)
A) 2x2 - 30
B) 2x2 - 6x
C) 2x2 + 7x - 6
D) 2x2 + 4x - 30

Answer:

see below

Step-by-step explanation:

8.

We have to use the law of cosines to find AB

c^2 = a^2 + b^2 − 2ab cos(C)

AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)

AB^2 =196 +576 - 672 cos(91)

AB^2 =783.7280171

Taking the square root of each side

AB =27.99514

Rounding to the nearest tenth

AB = 28

(If the lengths are supposed to have the variable A)

AB = 28A

9.

Using the law of sines

sin 84              sin A

--------------  = -------------

22                     9

Using cross products

9 sin 84 = 22 sin A

Divide each side by 22

9 sin 84 /22 = sin A

.406849866 = sin A

Taking the inverse sin of each side

24.00710132 = A

To the nearest tenth

A = 24

Answer:

AB = 28 ft; m<A = 24 deg

Step-by-step explanation:

8.

Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.

[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]

[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]

[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]

[tex] c = \sqrt{783.73~ft^2} [/tex]

[tex] c = 27.995~ft [/tex]

AB = c = 28 ft

9.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = 0.40685 [/tex]

[tex] A = \sin^{-1} 0.40685 [/tex]

[tex] A = 24^\circ [/tex]

Answer:

Donna traveled for 8 hours at 90 mph

Maple traveled for 4 hours at 50 mph

Step-by-step explanation:

The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written

[tex]t_d = 2t_m\\V_d = V_m+40\\V_d = \frac{720}{t_d}\\V_m = \frac{200}{t_m}\\\\V_d = \frac{360}{t_m}\\ \frac{360}{t_m}=\frac{200}{t_m}+40\\t_m = 4\ hours\\t_d=2*4 = 8\ hours\\\\V_d = \frac{720}{8}=90\ mph\\V_m = \frac{200}{4}=50\ mph\\[/tex]

Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.

Answer:

The local minimum point of f(x) is at the point (-2,-2)

Step-by-step explanation:

the minimum point is located on the very bottom of the parabola!

so its cut off but its (-2,-2)

sorry I didnt see the 6,-2

so I am gussing the y-value is the minimum point so it should be -2....tell me if I am wrong but if your looking for a points it (-2,-2) if your looking for the value it would be -2

pls mark me brainliest

Answer:

1.)

A=3

B=-6

2.)

1

3.)

(1,10)

Answer:

1.  Identify the values of a and b.            

a =  

✔ 3

and b =

✔ –6

2.   Find the x-coordinate of the vertex.

negative StartFraction b Over 2 a EndFraction  =

✔ 1

3.  Find the y-coordinate by evaluating the function at the x-value found in the previous step.

The vertex is

✔ (1, 10)

Answer:

y=-2x+9

Step-by-step explanation:

1. Make m value opposite of og m value.

2. Then plug in variables x and y into the equation

3. Solve for b

-1 = -2(5) + b

9 = b

4. You have the answer

Answer:

A =452.16 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

A = 3.14 (12)^2

A =452.16 ft^2

Answer:

452.16ft^2

Step-by-step explanation:

So to answer this You need to use the formula A=πR^2

Answer:

Option "A" is the correct answer to the following question.

Step-by-step explanation:

Given:

Total number of experiment = 50

Find:

Probability to get less then 4:

Computation:

⇒ Total number can be get less then 4 = 4+2+3

⇒ Total number can be get less then 4 = 9

⇒ Probability of an outcome = Total number of outcomes /  Total number of experiment

⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment

⇒ Probability to get less then 4 = 9 / 50

Answer:

(x+2)(x+4)

Step-by-step explanation:

Answer:

( x + 2 ) ( x + 4 )

Step-by-step explanation:

Answer:

2, 18, 56.52, It will double as well.

Step-by-step explanation:

First, multiply the radius by 9 to get the diameter, 18 inches. Then, multiply the diameter by 3.14(an approximation for pi) to get a circumference of about 56.52 inches.

If the diameter is doubled what happens to the circumference? Explain.

It will double because its like a second layer is added on,  and 56.52 x 2 = 113.04, which would be the doubled circumference.

Hope this helps! :)

Answer:

i dont really know

Step-by-step explanation:

The price goes up by 1 for every 1 day. 2 times the amount as seeds per day.

8 x 2 = 16     8 x 3 = 24.

Answer:

85.375%

Step-by-step explanation:

We would be using the z-score formula which is

z = (x-μ)/σ, where

x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

In the question, we are given:

x is the raw score = 47

μ is the population mean = Mean score = 43

σ is the population standard deviation = 3.8

z = (x-μ)/σ

z = (47- 43)/ 3.8

z = 4/3.8

z = 1.0526315789

The z score = 1.0526315789

Checking my z score on my normal distribution table,

The percentage of test takers that scored lower than you =

[1 - P(x>Z)] × 100

= ( 1 - 0.14625) × 100

= 0.85375 × 100

= 85.375%

Therefore, the percentage of test takers that scored lower than you is 85.375%

Answer:

the volume of the pipe is 649.98 cubic inches.

Step-by-step explanation:

We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.

We will use volume of hollow cylinder formula to solve our given problem.

[tex]\text{Volume of hollow cylinder}=\pi R^2h-\pi r^2h[/tex]

where,

R = Radius of external cylinder,

r = Radius of internal cylinder.

h = Height of cylinder.

substituting our given values in above formula, we will get:

[tex]\text{Volume of hollow cylinder}=\pi (5\text{ in})^2(\text{23 in})-\pi (4\text{ in})^2(\text{23 in})\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 ((5\text{ in})^2-(4\text{ in})^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (25\text{ in}^2-16\text{ in}^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (9\text{ in}^2)\text{Volume of hollow cylinder}=649.98\text{ in}^3[/tex]

Therefore, the volume of the pipe is 649.98 cubic inches.

Answer:

1/76

Step-by-step explanation:

Five marbles are red,

four are green,

ten are blue, and

one is white.

Sample space S= 5+4+10+1= 20

Probability of selecting a red Mable

Pr(red) = 5/20= 1/4

Probability of selecting a white Mable without replacement after the first selection

Pr(white) = 1/19= 1/19

the probability of selecting a red marble and then a white marble without replacement?

= 1/4*1/19= 1/76

Answer:

The correct option is (D) [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].

Step-by-step explanation:

The two-point form for the equation of straight line is:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]

The two points provided are:

A = (5, 3)

B = (12, 7)

Compute the equation of the trend line as follows:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}[/tex]

Thus, the equation of the trend line is [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].

The correct option is (D).

Answer:

D

Step-by-step explanation:

Answer:

1st  and second, unless you have already learned area of trapezoids. If you have, add third

Step-by-step explanation:

Answer: this is ez its

first

second

third

Step-by-step explanation:

Answer:

Q4. 2144     Q5. -16     Q6.   Downwards     Q7.   0 seconds

Step-by-step explanation:

Q4.    h(t) = -16t² + 2400    Substitute 4 for t

h(4) = -16(4)² + 2400          Simplify the exponent

h(4) = -16(16) + 2400          Multiply

h(4) = -256 + 2400            Add

h(4) = 2144

Q5.   I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.

Q6.   At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.

Q7.   0 seconds because the rocket goes 0 feet in 0 seconds.

If these answers are correct, please make me Brainliest!

Answer:

i think the answer is 1 dont take my word for it though

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The absolute value of -4 is 4, therefore |-4|/|-4| = 4/4 = 1

Answer:

cosine I think

Step-by-step explanation:

The ratio of the perpendicular and the hypotenuse is given by the sine of the angle. Then the correct option is A.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is called the sine of the angle.

The sine is given as the side opposite to the angle is known as perpendicular.

The ratio of the perpendicular and the hypotenuse is given by the sine of the angle.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

Answer:

The correct option is (D).

Step-by-step explanation:

The boxplot is a consistent way to exhibit the data-distribution based on, minimum, first quartile, median, third quartile and maximum.  

Therefore we can say it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.

The methods commonly used for depicting a frequency distribution are:

Out of these, one of the most general and extensively used devices of illustrating a frequency distribution is the histogram.

In this case it is provided that Anne wants the display of prizes to show how many homes are available for home buyers with various  budgets.

So, Anne can set range of budget values and assign the number of buyers with various  budgets.

From the provided data the range of budget values can be set as:

Less than $50,000

$50,000 - $100,000

$100,000 - $150,000

$150,000 - $200,000

$200,000 - $250,000

$250,000 - $300,000

$300,000 - $350,000

Thus, the histogram data display is best for Anne's purpose.

The correct option is (D).

This question is based on the concept of statistics. Therefore, the histogram data display is best for Anne's purpose. Hence, the correct option is D, histogram.

Given:

Anne wants to create a data display to summarize prices of the 264 homes for sale in her  area. A sample of the data is shown below.

$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000.

According to the question,

As we know that, the boxplot is consistent way to exhibit the data distribution based on the minimum, first quartile, median, third quartile and maximum.  

Therefore, it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.

The following methods commonly used for depicting a frequency distribution are:

Out of these, one of the most extensively used devices of illustrating a frequency distribution is the histogram.

In this question it is provided that, Anne wants the display of prizes to show how many homes are available for home buyers with various  budgets.

Thus, Anne can set range of budget values and assign the number of buyers with various budgets.

From the given data the range of budget values can be written as:

Less than $50,000

$50,000 - $100,000  

$100,000 - $150,000

$150,000 - $200,000

$200,000 - $250,000

$250,000 - $300,000

$300,000 - $350,000

Therefore, the data display is best for Anne's purpose. Hence the correct option is D, histogram.

For more details, prefer this link:

https://brainly.com/question/23370669

Answer:

The shaded segment  = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

                     = pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

Answer:

Shota's speed = 5 m/s

In total, it take 6 seconds to reach the edge of the volcano.

Step-by-step explanation:

Given;

Total height below the edge of the volcano = 30 m

(Note that he climbed at constant rate)

After 4.5 seconds, he was 7.5 meters below the edge of the volcano.

Time = 4.5 s

Distance covered = 30 - 7.5 = 22.5 m

His speed = distance covered/time

Substituting the values;

Speed = 22.5/4.5

Speed = 5 m/s

Time needed to reach the edge;

Time = distance/speed

Speed = 5m/s

Distance = 30 m

Substituting;

Time = 30/5 = 6 seconds

Answer:

We have 6 cards.

9 of hearts

5 of spades

6 of hearts

2 of spades

4 of hearts

7 of hearts.

A is the event where Anwar selects an even numbered card.

B is the event where she choses a heart.

we have 3 even cards (and two of them are hearts)

we have 4 hearts (2 of them are even)

The probability of event A is Pa = 3/6 = 1/2

the probability of event B is = Pb = 4/6 = 2/3

The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:

Paandb = 2/6 =  1/3

the probabilty of A if we know that B is true:

P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)

the probability of B if we know that A is true:

P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)

Answer:

A,B,C,E

Step-by-step explanation:

Khan.

TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!

Answer:

Step-by-step explanation:

Please be sure to include the directions when you post a question.  I will assume you want to graph this inequality 2x - y ≤ 5.  

2x - y = 5 is a linear function whose graph is that of a straight line.  Because of the ≤ sign, the solution set includes all points on this straight line PLUS all  points below it.

x - intercept:  Set y = 0 in 2x - y = 5 and solve the resulting equation for x:

2x - 0 = 5.  Then x = 5/2, and the x-intercept is (5/2, 0).

y-intercept:  Set x = 0 and solve for y:  2(0) - y = 5:  y = -5.  Then the y-intercept is (0, -5).  

Plot both points (5/2, 0) and (0, -5).  Draw a solid line through them.  Shade the area BELOW this line.

Answer:

8ft. x 16ft.

Step-by-step explanation:

If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.

Answer: 1.72 kilograms

Step-by-step explanation:

From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.

To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:

= 3.5 kg - 1.78 kg

= 1. 72 kg

Answer:

area - 120 cm

Step-by-step explanation:

Answer:

A = 120 cm^2

P = 54 cm

Step-by-step explanation:

Area of parallelogram: = base * height

A = 15 cm * 8 cm = 120 cm^2

Perimeter of parallelogram = sum of lengths of sides

P = 15 cm + 15 cm + 12 cm + 12 cm = 54 cm

Answer:

x= 20

Step-by-step explanation:

a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.

Step 1

define

according to the graph

3x+80+2x=flat angle=180°

3x+80+2x=180°

Step 2

solve for x

3x+80+2x=180°

5x+80=180

subtract 80 in each side

5x+80-80=180-80

5x=100

divide by 5

(5x)/5=100/5

x=20

happy to help:)

The second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

Here,

To find the angle measure the second ramp needs to have, we can use the concept of angles of elevation and depression.

When the car drives off the first ramp, it will be going at an angle of 15° from the ground, and the angle of elevation from the ground to the car will also be 15°.

This is because the angle of elevation is the angle between the horizontal line and the line of sight from the ground to an object above the ground.

Now, when the car reaches the top of the first ramp, it will be at the same level as the second ramp.

At this point, the car needs to continue its ascent with an additional angle of 20° (35° - 15°) to reach the desired angle of 35° from the ground.

So, the second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

To learn more on angle click:

brainly.com/question/28451077

#SPJ4

Answer: y-intercept

Step-by-step explanation: