the height of a ball can be estimated by the following equation h(t) = 8t^2 4t 125 where t is time, in seconds, after the ball was thrown and h(t) is the corresponding height, in meters. what is the height at t=2.3 seconds

Answer:

1.  x=±4

2. t=±9

3. r=±10

4. x=±12

5. s=±5

Step-by-step explanation:

1. x^2 = 16

Taking square root on both sides

[tex]\sqrt{x^2}=\sqrt{16}\\\sqrt{x^2}=\sqrt{(4)^2}\\[/tex]

x=±4

2. t^2=81

Taking square root on both sides

[tex]\sqrt{t^2}=\sqrt{81}\\\sqrt{t^2}=\sqrt{(9)^2}[/tex]

t=±9

3. r^2-100=0

[tex]r^{2}-100=0\\r^2 =100\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{r^2}=\sqrt{100}\\\sqrt{r^2}=\sqrt{(10)^2}[/tex]

r=±10

4. x²-144=0

x²=144

Taking square root on both sides

[tex]\sqrt{x^2}=\sqrt{144}\\\sqrt{x^2}=\sqrt{(12)^2}[/tex]

x=±12

5. 2s²=50

[tex]\frac{2s^2}{2} =\frac{50}{2}\\s^2=25\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{s^2}=\sqrt{25}\\\sqrt{s^2}=\sqrt{(5)^2}[/tex]

s=±5 ..

Answer:

[tex]1.+4,-4\\2. +9,-9\\3. +10,-10\\4. +12, -12\\5. +5, -5[/tex]

Step-by-step explanation:

IN order to solve the quadratic equations you just have to solve the square root of the numeric part of the equation:

[tex]x^{2} =16\\x=\sqrt{16}\\ x= +4, -4[/tex]

[tex]t^{2} =16\\t=\sqrt{81}\\ x= +9, -9[/tex]

[tex]r^{2} =100\\r=\sqrt{100}\\ x= +10, -10[/tex]

[tex]x^{2} -144=0\\x=\sqrt{144}\\ x= +12, -12[/tex]

[tex]2s^{2}=50\\s^{2}=\frac{50}{2} \\s=\sqrt{25}\\ s= +5, -5[/tex]

Just remember that the solution for any square root will always be a negative and a positive number.

Answer:

Step-by-step explanation:

5*5*5*2

The number must end in 2 or 4.

1 3 and 5 will give you an odd number if either is at the end.

The permutation formula does not lend itself to this problem. That is because repetition is allowed. So 5554 is a possible answer.

You can choose any one of 1 to 5 for the first place.

1 to 5 in the second place independent of what you choose for the first place.

The only thing restricting you is the last place. It must be 1 of 2.

I suppose you could use 2P1 for that.

5 * 5 * 5 * 2P1

Answer:

C=K-273.15

Step-by-step explanation:

Here we are given the relation between the measurements of temperatures in Celsius C and Kelvin K . The relationship is as under

K=C+273.15

now we have to rewrite this equation so that we can evaluate C in terms of K

In  order to do so , we Subtract 273.15 from both sides.

K-273.15 = C + 273.15-273.15

K - 273.15=C

C=K-273.15

Answer:

[tex]\large\boxed{\vec{a}\circ\vec{b}=30}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ \vec{u}=\left<a,\ b\right>\ \text{and}\ \vec{v}=\left<c,\ d\right>,\ \text{then}\\\\\vec{u}\circ\vec{v}=ac+bd\\\\==========================\\\\\vec{a}=\left<5,\ 2\right>,\ \vec{b}=\left<4,\ 5\right>\\\\\vec{a}\circ\vec{b}=(5)(4)+(2)(5)=20+10=30[/tex]

Answer:

y = 0

Step-by-step explanation:

Plug in 28 for x. Solve for the equation:

x + 3y = 28

(28) + 3y = 28

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:

28 (-28) + 3y = 28 (-28)

3y = 0

Isolate the variable, y. Divide 3 from both sides:

(3y)/3 = (0)/3

y = 0

y = 0 is your answer.

~

Answer:

4 : 25

Step-by-step explanation:

Given the ratio of 2 similar figures = a : b, then

ratio of areas = a² : b²

Given the similarity ratio = 2 : 5, then

ratio of areas = 2² : 5² = 4 : 25

To determine the ratio of areas of two similar polygons, square the similarity ratio. For a ratio of 2:5, the area ratio is 4:25.

The ratio of the areas of two similar polygons is found by comparing the squares of their linear dimensions.

For example, if the similarity ratio of two polygons is 2:5, the ratio of their areas will be (2^2):(5^2), which simplifies to 4:25.

Therefore, the ratio of areas of polygons with a similarity ratio of 2:5 is 4:25.

Answer:

o = (41790/210)+5;0 = 204

Step-by-step explanation:

o = (41790/210)+5

o = 199+5

0 = 204

(pls give brainliest)

Answer: mcdonald Harvested oranges when there were 5 trees-210

So 1 tree is 210/5=42

41790 oranges come from _ trees

=41790/42

=995 trees

Step-by-step explanation:

Answer:

y = -5x - 27

Step-by-step explanation:

First and foremost, parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so we keep the -5. Moving forward, we simply plug the coordinate into the Slope-Intercept Formula, y = mx + b --> 3 = -5[-6] + b. Our y-intercept is [0, -27], therefore our parallel equation is y = -5x - 27.

♡ The Question ♡

Jerry has a spinner with 4 sections numbered 1 through 4. He suspects that the spinner is not fair because it seems to land on 2 more often than any other number. To test this, he spins the spinner 250 times and records the relative frequency of each outcome. Outcome 1 2 3 4 , Relative frequency 0.26 0.24 0.24 0.26  Select from the drop-down menus to correctly complete each statement.

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

For the spinner to be fair, each outcome will be equally likely.

The relative frequencies in the table are relatively close to equal.

This means it is likely that the spinner is fair.

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

No Explanation/Step-By-Step provided!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

No Tips provided!

The true statements are for the spinner to be fair, each outcome will be equal, the relative frequencies in the table are relatively close and this means it is likely that the spinner is fair.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that,

Outcome                      1            2          3           4

Relative frequency    0.26     0.24     0.24     0.26

The spinner has 4 sections

This means that the probability of landing in a section is:

p = 1/4

p = 0.25

So, for the spinner to be fair, each outcome will be equal

The relative frequencies in the table are relatively close is the true statement.

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Answer:

y - 13 = 5(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Given y = 5x - 3 in  slope- intercept form

with slope m = 5, then

m = 5 and (a, b) = (- 2, 13)

y - 13 = 5(x - (- 2)), that is

y - 13 = 5(x + 2) ← in point- slope form

Answer:

False

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]

Given a line with m = [tex]\frac{3}{4}[/tex]

Then the slope of the line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex]

Answer:

slope = 6, y- intercept = - 7

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 )

Rearrange - 6x + y = - 7 into this form

Add 6x to both sides

y = 6x - 7 ← in slope- intercept form

with slope m = 6 and y- intercept c = - 7

Answer:

Step-by-step explanation:

The absolute value of number a:

|a| = a for a ≥ 0

|a| = -a for a < 0

|a| = 8 ⇔ a = 8 or a = -8

The numbers that have an absolute value of 8 are 8 and -8. This is because the absolute value refers to a number's distance from 0 on a number line, which includes both positive and negative numbers.

The absolute value of a number refers to its distance from zero on the number line, ignoring whether it is to the left or right (negative or positive). When we speak of the absolute value of 8, we're looking for numbers whose distance from zero is 8 units. This means we are looking for two numbers: +8 and -8 since they are both 8 units away from 0, but in opposite directions.

So, the numbers whose absolute value is 8 are 8 and -8.

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Expression to simplify: [tex]\frac{8b}{a^{-5} }[/tex]

Remember, when a number has a negative power, it reciprocates (flips over)

First lets write the expression so that the a is in a fraction by itself:

[tex]\frac{8b}{a^{-5} }[/tex] = [tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex]

So to simplify, all we do is reciprocate [tex]\frac{1}{a^{-5} }[/tex] and make the power positive:

[tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex] =  [tex]8b[/tex] × [tex]a^{5}[/tex]

=[tex]8a^{5}b[/tex]

----------------------------------------------

Answer:

[tex]8a^{5}b[/tex]

The correct simplification Expression is  [tex]8b/a^-5[/tex]

The correct simplification of the expression "8 times b over a to the power of -5" is [tex]8b/a^-5[/tex]. This can be simplified by using the following rule:

[tex]x^m \times x^n = x^ \ (m + n)[/tex]

Therefore, we can rewrite the expression as:

[tex]8b/a^-5 = 8b \times a^5[/tex]

We can then multiply the numerator and denominator by 8 to get:

[tex]8b \times a^5 = 64b \times a^5[/tex]

Finally, we can rearrange the factors to get:

[tex]64b \times a^5 = 8a^5 \times b[/tex]

Therefore, the simplified expression is [tex]8a^5 \times b.[/tex]

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Answer:

[tex]\large\boxed{\O}[/tex]

Step-by-step explanation:

[tex]|x|+7<4\qquad\text{subtract 7 from both sides}\\\\|x|+7-7<4-7\\\\|x|<-3\Rightarrow\ x\in\O\\\\\text{Because}\\\\|x|\geq0\ \text{for all real value of}\ x[/tex]

Answer: its the o with the line going diagonal through it

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The sign used is the greater then sign, assuming p is the variable standing for the basketball teams' points then the answer is C.

Answer:

A) The rate of change of the cost of parking in the lot is $3.00 per  hour

Step-by-step explanation:

for y=mx+b:

b is the base "cost" ($4)

x is the number of hours parked in the parking lot

m is the slope or how much it costs to be parked PER hour

therefore, for x hours, the cost would be 3*#of hours + $4, so the rate of change of the cost of parking in the lot is $3 per hour (which is shown by m or the slope)

Answer:

Option A

Step-by-step explanation:

we have

x -----> is the number of hours

c(x) ----> is the cost for parking in a city lot

we know that

c(x)=3x+4.00

This is a linear equation in slope intercept form

where

the rate of change or slope m is equal to m=$3 per hour

the y-intercept is equal to b=$4.00 (this is the cost when the number of hours is equal to zero)

therefore

The rate of change of the cost of parking in the lot is $3.00 per

hour

Answer:

6

Step-by-step explanation:

If it’s the green block from 2-6 with 6 being the tallest then it’s 6 a p e x

The median of the histogram of the data distribution where all class widths are 1 is is 6

From the complete question, we have the following highlights:

When a histogram is bell shaped, the median of the histogram is at the highest bar in the histogram

The highest bar in the histogram has a class of 6

Hence, the median of the histogram is 6

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Answer:

x = -7

Step-by-step explanation:

-2x - 10 = 4

-2x = 14

x = -7

Verification:

-2(-7 + 5) = 4

-2(-2) = 4

4 = 4

Answer:

B) 4, 8, 10

Step-by-step explanation:

4+8 is greater than 10

4+10 is greater than 8

10+8 is greater than 4

For this case we have by definition that one yard equals 91.44 centimeters.

We propose a rule of three that allows you to find the number of centimeters in any number of yards:

1yd ------------> 91.44cm

x ------------> y

[tex]y = \frac {x * 91.44} {1}\\y = x * 91.44[/tex]

Where:

y: It is the number of centimeters

x: It is the number of yards.

Answer:

one yard equals 91.44 centimeters.

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{17}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{17-11}{4-2}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-11=3(x-2)\implies y-11=3x-6[/tex]

[tex]\bf y=3x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

[tex]y = 3x + 5[/tex]

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex]\frac{-11 + 17}{-2 + 4} = \frac{6}{2} = 3[/tex]

Now, plug the coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. It does not matter which ordered pair you choose:

17 = 3[4] + b

12

5 = b

[tex]y = 3x + 5[/tex]

__________________________________________________________

11 = 3[2] + b

6

5 = b

[tex]y = 3x + 5[/tex]

You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

Answer:

A

Step-by-step explanation:

The common difference d is the difference between consecutive terms.

d = - 2 - (- 6) = - 2 + 6 = 4

d = 2 - (- 2) = 2 + 2 = 4

Answer:

4

Step-by-step explanation:

BIG BRAIN

Answer:

for number 4 the answer is 32 in (please read below)

Step-by-step explanation:

I will do one of them for now... how about number 4.

Similar triangles means we are going to setup a proportion:

                          Small triangle                                 Big Triangle

Corresponding       12                                                     15

Corresponding        x                                                      40

So the proportion is 12/x=15/40

cross multiply

12(40)=15(x)

Divide both sides by 15

giving x=12(40)/15=32

Try number 1... And I will check it for you (just post as a new question-I will be looking for it)

Answer:

1. 8 cm

2. 15 cm

3. 28 cm

4. 32 cm

Step-by-step explanation:

1. 12/6= 2

  20/10= 2

  Scale Factor= 2

  16/2= 8cm

2. 30/18= 1.6666667

   15/9= 1.6666667

   Scale Factor= 1.6666667

   25/1.6666667= 15cm

3. 16/12= 1.333333

   32/24= 1.333333

   Scale Factor= 1.333333

   (21)(1.333333)= 28cm

4. 15/12= 1.25

   25/20= 1.25

   Scale Factor= 1.25

   40/1.25= 32cm

Answer:

7(10+5)

105

Step-by-step explanation:

Distributive property:

       ↓

A(B+C)=AB+AC

7*15=7(10+5)

7(10+5) is the correct answer.

105 is the correct answer.

I hope this helps you, and have a wonderful day!

By distributive property, 7·15 can be written as 7*(10 + 5) = 105 .

According to the distributive property, multiplying the sum of two or more variables by a number will give the same result as multiplying each variables individually by the number and then adding the products together.

Mathematically,

A*(B + C) = AB + AC

Given expression is 7·15 .

By distributive property, the expression can be written as -

⇒ 7·15 = 7*(10 + 5)

⇒ 7*(10 + 5) = 7*10 + 7*5

⇒ 70 + 35 = 105 .

Thus, by distributive property, 7·15 can be written as 7*(10 + 5) = 105

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Part A

w = width

L = length

L = w+8 since the length is 8 mm longer than the width

====================================================

Part B

P = perimeter of rectangle

P = 2*(L+W) = 2L + 2W

We want the perimeter to be more than 32 mm, so we want P to be greater than 32

This means we write P > 32

Replace P with either 2(L+W) or 2L+2W. I'll pick 2L+2W

So we go from

P > 32

to

2L+2W > 32

After this, replace L with W+8 (refer to part A above)

We now have

2(W+8) + 2W > 32

====================================================

Part C

Let's solve the inequality found in part B to get...

2(w+8) + 2w > 32

2w + 16 + 2w > 32

4w + 16 > 32

4w + 16-16 > 32-16 ....... subtracting 16 from both sides

4w > 16

4w/4 > 16/4 ......... dividing both sides by 4

w > 4

Answer:

k=-5 or k= -13

Step-by-step explanation:

lk+9l=4

k+9=4 or k+9=-4

k=-5 or k= -13

The solutions for the equation |k+9| = 4 are k = -5 and k = -13. We got these results by considering separately the positive and negative cases for the absolute value.

To find the solution to the equation |k+9| = 4, we need to think about what the absolute value operation represents. Absolute value takes the positive version of whatever is inside, no matter if it's positive or negative. So we actually need to consider two separate cases.

So the solutions to the equation are k = -5 and k = -13.

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Answer:

12

Step-by-step explanation:

find the median:

19

find median of 10, 11, 12, 15, 17

median: 12

Answer: 12

Step-by-step explanation: Apex said so

[tex]x^2 + 20x + 99=x^2+9x+11x+99=x(x+9)+11(x+9)=(x+11)(x+9)[/tex]

Answer:

A=384

Step-by-step explanation:

For this case we have by definition, that the surface area of a cube is given by:

[tex]SA = 6l ^ 2[/tex]

Where:

l: It's the side of the cube

We have as data, according to the figure, that:

[tex]l = 8ft[/tex]

Substituting in the figure:

[tex]SA = 6 (8) ^ 2\\SA = 6 * 64\\SA = 384 \ ft ^ 2[/tex]

Thus, the surface area of the cube is [tex]384 \ ft ^ 2[/tex]

Answer:

[tex]384 \ ft ^ 2[/tex]