A rock is thrown from the top of a ladder. The function
h(t) = –16t2 + 120t + 10 gives the height of the rock t seconds after it is
thrown a certain number of feet.
What is the height of the rock at 5 seconds?

The location of the values square root of 10, square root of 13, and twenty two ninths on the number line will be A. Point A is twenty two ninths, point B is square root of 10, and point C is square root of 13.

The square root of 10 will be 3.16

The square root of 13 will be 3.6

Twenty two ninths will be 22/9 = 2.44

Therefore, the location of the values square root of 10, square root of 13, and twenty two ninths on the number line will be Point A is twenty two ninths, point B is square root of 10, and point C is square root of 13.

In conclusion, the correct option is A.

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The perimeter of the playground is 16x + 20

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2(l+w)

Given the following

l = 3x-2

w = 5x+12

Substitute to have:

P = 2(3x-2+5x+12)

P = 2(8x + 10)

p = 16x + 20

Hence the perimeter of the playground is 16x + 20

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[tex]-\displaystyle\frac{4}{3}[/tex]

Slope describes the change in y divided by the change in x.

Solving Using Slope Formula

One way to find slope when you are given 2 points is the slope formula.

To solve, plug in the x and y-values and simplify. For this question, let (-2, 3) represent the (x₂, y₂) and (1, -1) represent (x₁, y₁).

This shows that the slope of this line is -4/3.

Solving Through Counting

When given the graph of a function, you can also count out the slope. Starting from the left point, count the change in y-values and the change in x-values. Remember, when the y-values decrease, the change should be negative. The y-value changes by -4 and the x-value changes by +3.

Since the slope is change in y over change in x, the slope is -4/3.

The multiplication of given fraction is 1 4/5 x 5/6 = 1 1/2

In this question, we have been given an expression 1 4/5 x 5/6

We need solve given mathematical expression.

First we write improper fraction 1 4/5 as proper fraction.

1 4/5 = 9/5

So, given expression becomes,

1 4/5 x 5/6

= 9/5 x 5/6

= 9/6

= 3/2

Now we write 3/2 as improper fraction.

If we divide the 3 by 2,then we will get 1 as quotient and 1 as remainder.

3/2 = 1 1/2

Therefore, the multiplication of given fraction is 1 4/5 x 5/6 = 1 1/2

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Answer: 157.5

"Of" means to multiply. When multiplying percentages by whole numbers, the percentage becomes smaller. The commonly asked question in scenarios just like this is, "what is x% of y?" where x is the percentage and y is your number you want a percentage out of. This question requires you to use multiplication, because it uses the word, "of".

[tex]\bold{Step-by-step}[/tex]

[tex]\mathrm{"What}[/tex] [tex]\mathrm{is}[/tex] [tex]\mathrm{x\%}[/tex] [tex]\mathrm{of}[/tex] [tex]\mathrm{y?"}[/tex]

[tex]P = (x\% \times y)\\P = (75\% \times 210)\\p = 75\% = 0.75\\P = (0.75 \times 210)\\P = 157.5[/tex]

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Answer:

55 A

Step-by-step explanation:

Answer: x = 23

Step-by-step explanation:

Angle in a X shape, the two 'opposite' eachother must be the same so angle HGC is 14

Angle in a Z shape where the lines of the Z are parralell, the two innercorner angles of the Z must be the same os angle GCE must be 14

In triangle GEC we now know two out of the three angles 78 and 14 and we know that angles in a trianlge add up to 180 so the missing angle GEC must be 180-78-14=88

Angles on a straight line must add up to 180 so 4x+88=180

Then this can be used to figure out x

4x+88=180

4x = 92

x = 23

Answer:

6/5

Step-by-step explanation:

m = (y_2 - y_1)/(x_2 - x_1) = (20 - 8)/(12 - 2) = 12/10 = 6/5

Answer:

80 degrees

Step-by-step explanation:

80 degrees because part of it is on zero and the other part is on 80 so 80-0=80 degrees,

The expression is simplified -x^4 -3x³ -x² + 4x + 6

Algebraic expressions are expressions consisting of variables, constants, factors and coefficients.

They are also made up of arithmetic operations such as addition, subtraction, multiplication, division, etc

Given the expression:

(-x² - 2x - 2) (x² + x - 3)

expand the bracket

-x^4 - x³ + 3x² -2x³ - 2x² +6x - 2x² - 2x + 6

collect like terms

-x^4 - x³ - 2x³ + 3x² - 2x² - 2x² + 6x - 2x + 6

Add or subtract like terms

-x^4 -3x³ -x² + 4x + 6

The expansion of the expression is -x^4 -3x³ -x² + 4x + 6

Hence, the expression is simplified -x^4 -3x³ -x² + 4x + 6

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Answer: k(8z - 2)=448z^2-224z+35

z(q^2)​=-10q^4 - 5

Step-by-step explanation:

k(z) = 7z^2 + 7

k(8z - 2)=7(8z - 2)^2 + 7

k(8z - 2)=7(8z - 2)(8z - 2) + 7

k(8z - 2)=7(64z^2-16z-16z+4) + 7

k(8z - 2)=7(64z^2-32z+4) + 7

k(8z - 2)=7(64z^2-32z+4+1)     ==> 7*1=7, so +1 is added in parentheses while +7 is removed outside of parentheses.

k(8z - 2)=7(64z^2-32z+5)

k(8z - 2)=448z^2-224z+35

z(q) = -10q^2 - 5

z(q^2)​=-10(q^2)^2 - 5

z(q^2)​=-10(q^(2*2)) - 5

z(q^2)​=-10q^4 - 5

The slope of the line in the given graph = rise/run = 3.

To determine the value of the slope of a line on a coordinate plane, we can find the ratio of the rise of the line to that of its run. This means that, the formula for calculating the slope of a line would be:

Slope = rise/run.

Vertical distance across the line is the rise of the line

Horizontal distance across the line is the run of the line

In the graph given, we have:

The rise is labelled as the blue line = 9 units

The run is labelled as the red line = 3 units

Slope of the line (m) = 9 units/3 units

Slope (m) of the given line = 9/3 = 3

Therefore, the slope of the line in the given graph = rise/run = 3.

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The slope of the line shown is -2/5

The formula for calculating the slope of a line is expressed according to the formula

Slope = Rise/Run

Slope = y₂-y₁/x₂-x₁

Using the coordinate point (0,7) and (5, 5)

Slope = 5-7/5-0
Slope = -2/5

Hence the slope of the line shown is -2/5

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The measure of angle A and angle B are 31° and 59° respectively.

Complementary angles that sum up to 90 degrees.

Given the angles as;

We have that;

Angle A + Angle B= 90

Substitute the values

3x + 7 + 6x + 11 = 90

collect like terms

9x = 90 - 18

9x = 72

Make 'x the subject

x = 72/ 9

x = 8

Angle A = 3x + 7 = 3(8) + 7 = 31°

Angle B = 6x +11 = 6(8) + 11 = 59°

Thus, the measure of angle A and angle B are 31° and 59° respectively.

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Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.

complementary angles are angles that sum up to 90 degrees.

Given the data in the question;

Since complementary angles sum up to 90 degrees.

Measure of angle A + Measure of angle B = 90°

Plug in the given values and solve for x.

(3x + 7) + (6x + 11) = 90

Collect like terms

3x + 6x + 11 + 7 = 90

9x + 18 = 90

Subtract 18 from both sides

9x + 18 - 18 = 90 - 18

9x = 72

x = 72/9

x = 8

Hence;

Measure of angle A = 3x + 7 = 3(8) + 7 = 24 + 7 = 31°

Measure of angle B = 6x + 11 = 6(8) + 11 = 48 + 11 = 59°

Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.

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Answer: 14 ==> 3rd option

Step-by-step explanation:

The median is the middle value of a set of ordered numbers. Since this set of numbers from 8 to 20 are already ordered, the median would be the average number between 8 and 20.

(8+20)/2=

28/2=14 ==> 3rd option

Answer:

y=-4/3x

Step-by-step explanation:

ans would be c y=-4/3x

Answer:

45

Step-by-step explanation:

5/9 = 24/45

6/5 = 54/45

5/9= 5/9× 5/5 = 25/45

6/5 = 6/5 × 9/9 = 54/45

Answer:

If you are an athlete, then you play soccer

Step-by-step explanation:

This statement is not true as you can be an athlete and play football, run, etc. You could play soccer but this sentence is implying that you do play soccer. It is also not a conditional statement. A conditional statement is "If A then B".

All the questions have been solved in the above pictures 7,8,9,10,11,12 & 13

Answer:

40 multiply by area of the table

Step-by-step explanation:

force = pressure *  area of the table

Answer:

y = - 2x + 11

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - 1 ← is in slope- intercept form

with slope m = - 2

• Parallel lines have equal slopes , then

y = - 2x + c ← is the partial equation of the parallel line

to find c substitute (4, 3 ) into the partial equation

3 = - 8 + c ⇒ c = 3 + 8 = 11

y = - 2x + 11 ← equation of parallel line

Answer:

1/2

Step-by-step explanation:

2/3 x 3/4 = 6/12 =1/2

The interval will their systolic pressure be lowest is 4p.m. to 6p.m.

Given that

the effects on the systolic

145-6t if 0≤t≤5

function: S(t)

115 if 5 52+7t if 9≤t≤12

where t= time

the blood pressure medication takes at 7 a.m.

first of all we have to nknow about the Interval.

What is interval?

An interval is a distinct measure of time or the physical or temporal distance between two things.

From the function given above, the lowest systolic pression can be seen from 5 and 8 hours after taken the medication.

Therefore, this will fall into or between the interval of  2pm to 5pm.

And as such,  looking at the question, the option that best fit into this time range is 4pm to 6pm.

Therefore,  Based on the above, the interval will their systolic pressure be lowest is 4pm to 6pm.

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The relationship between the number of bushels and the number of quarts is b = 32q.

The mathematical operation that would be used to determine the required value is multiplication. Multiplication is the process of determining the product of a number. The sign used to represent multiplication is x.

The equation that represents the relationship between bushel and pecks is: b = 4p

The equation that represents the relationship between a peck and quarts is: p = 8q

In order to determine the relationship between bushels and quarts, substitute for p in the first equation

b = 4(8q)

Expand the bracket : b = 4 x 8q

b = 32q

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The time it takes the driver to travel from Point A to Point B is 8 minutes, the same as the helicopter but through a more longer path, such that, we have;

Based on a similar question, the first part required to determine if a driver that drives from Point A to Point B in 8 minutes obeyed the speed limit of 55 miles per hour.

The path of the driver consists of a short path, a bend changing the direction, then a long straight path.

The path of the helicopter is directly from Point A to Point B.

Therefore;

The length of the path of the driver, d1, is longer than that the helicopter, d2, which gives;

d1 > d2

From kinematics, we have;

[tex]Speed = \frac{Distance}{Time} [/tex]

The time taken by the helicopter and the and the driver are equal to 8 minutes, therefore;

[tex] Speed \: of \: the\: driver = \frac{d_1}{8} [/tex]

[tex] Speed \: of \: the \: helicopter = \frac{d_2}{8} [/tex]

[tex] d_1 > d_2 [/tex]

According to the division property of equality, we have;

[tex] \frac{d_1}{8} > \frac{d_2}{8} [/tex]

[tex] \frac{d_2}{8} < \frac{d_1}{8} [/tex]

Therefore;

The speed of the helicopter is lesser than the speed of the driver, which gives;

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The odds against selecting an ace when a card is drawn from a standard deck of cards is 12:1.

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