the quadratic function h(t}= -16.1t2+150

Answer:

B and D

Step-by-step explanation:

i took this test

The roots of the equation will be - 1 - √6 and - 1 + √6. Then the correct options are B and D.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The quadratic equation is given below.

x² + 2x - 5 = 0

The solution of the quadratic equation will be

x² + 2x - 5 = 0

Add 1 on both sides, then the equation will be

x² + 2x + 1 - 5 = 1

x² + 2x + 1 = 1 + 5

(x + 1)² = 6

Taking square root on both sides, then the equation will be

x + 1 = ±√6

    x = - 1 ±√6

Then the roots of the equation will be - 1 - √6 and - 1 + √6.

Then the correct options are B and D.

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Answer:

Intersection means a line common to other lines and an action of intersection/intersecting.

hope it helps!

Answer:

sometimes

Step-by-step explanation:

You can never divide a non-zero number, such as 3 or 7, by zero. However, you can divide zero by zero, so the answer is sometimes.

Hope this helped! :)

Answer:

sometimes

Step-by-step explanation:

Answer:

Although it's blurry, I believe y is equal to 3.

Step-by-step explanation:

You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.

Answer:

Step-by-step explanation:

The water run at a constant speed with the slope of 5/12.

Slope-intercept form would be y = 5/12x.

So if we were to plug it in the equation,

y = 5/12 (7) = 35/12 or 2 11/12.

Hope this helps ;D

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

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.

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Answer: y-intercept

Step-by-step explanation:

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:

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:

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:

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: It is not a perfect rectangle

Step-by-step explanation: Put 2 x2 tiles side by side horizontally then place an -x tile be side it then an - tile next to the x tile

Answer:

Step 4: What is the factored form of this trinomial?

✘ O A. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] + 1 )

✔ ∅ B. (2[tex]x[/tex] + 1 ) ( [tex]x[/tex] - 1 )

✘ O C. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] - 1 )

Answer:

-1 and 3 should be right

Answer:

3

Step-by-step explanation:

Whole numbers are non-negative integers

A whole number can be 0 or positive with decimal/fraction part

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:

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:FOOD, HYGIENE, ENTERTAINMENT

Step-by-step explanation:

The answer is:

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.

According to the given information

a)Keaton spend the most money on Food.

b) Keaton spend the least money on Hygiene Products.

c) Keaton spends about as much money on rent as he does on Entertainment.

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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:)

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:

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.

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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:

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:

Inscribed angles, substitution property of equality

Step-by-step explanation:

We know it cant be Central angles because its a quadrilateral so that's 2 answers out. Then you have to substitute each value to end up with 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°, it doesnt make sense to add to both sides so the answer is Inscribed angles and substitution property of equality.

Plus i took the test and its right.

Angles to be proven as supplementary angles are known as inscribed

angles, and they are used as the substitute to known angles.

Response:

The given information are;

Quadrilateral CDEF is inscribed in circle A

The completed statement is presented as follows;

The correct option is therefore;

Inscribed angles are angles formed by the intersection of two chords of

a circle.

The substitution property of equality states that variables that are

equal can be substituted by each other in any equation with both sides

of the the equation remaining equal.

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Answer:

-3x + 17 < -29

Step-by-step explanation:

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:

38% order a chicken dinner

Step-by-step explanation:

40% order tacos.  50% of 40% order chicken tacos.  50% of 40% = 0.5 * 0.4 = 0.2 = 20% order chicken tacos.

60% order fajitas.  30% of 60% order chicken fajitas.  30% of 60% = 0.3 * 0.6 = 0.18 = 18% order chicken fajitas.

20% + 18% = 38% order a chicken dinner.

Answer:

the answer is -6 and -3

Step-by-step explanation:

Answer:

-3 and -6.

Step-by-step explanation:

ac = 1 *18 = 18

b = -9

The 2 numbers required are  -3 and -6.

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.

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Answer:

The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).

Option B = -3 is correct.

Hope this helps!

:)

The y intercept value is option (B) -3

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis

Given

x intercept value = -4

From the graph we can say that y intercept value = -3

The y-intercept is the point where the line crosses the y-axis that is -3

Hence, the y intercept value is option (B) -3

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