Write the decimal as a fraction or mixed number in simplest form.
5.22​

Answer:

2 seconds

Step-by-step explanation:

[tex]y=-5t^2+20[/tex] (Given)

When acorn will hit the the ground, at that moment y = 0

[tex]\implies 0= -5t^2+20[/tex]

[tex]\implies 5t^2=20[/tex]

[tex]\implies t^2=\frac{20}{5}[/tex]

[tex]\implies t^2=4[/tex]

[tex]\implies t=\pm\sqrt4[/tex]

[tex]\implies t=\pm 2[/tex]

Time can not be negative.

[tex]\implies t\neq-2[/tex]

[tex]\implies t=2\:seconds[/tex]

Answer:

All you need to do is find the reciprocal and switch the exponent to a negative. The answer is 8^-6

Step-by-step explanation:

Answer: 8^-6

Step-by-step explanation:

got it right from the answer above

Answer:

The value of a ratio is:

Option 2, The quotient of the two quantities in the ratio.

Step-by-step explanation:

Hope this helps you out! ^^

Answer: First option: Line FG

Step-by-step explanation:

Intersection points will be those points that belong to both lines.

We have the lines Line FG and Line GF.

Line FG: This is the line that connects the point F and the point G.

Line GF: this is the line that connects the point G and the point F.

Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.

Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"

Then the interception is the whole Line FG.

Answer:First option: Line FG First option: Line FG

Step-by-step explanation:

Intersection points will be those points that belong to both lines.

We have the lines Line FG and Line GF.

Line FG: This is the line that connects the point F and the point G.

Line GF: this is the line that connects the point G and the point F.

Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.

Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"

Then the interception is the whole Line FG.

Answer: f is the dependent variable

Step-by-step explanation:

A variable that depends on one or more other variables. For equations such as letter f = 0.73g +16.8, the dependent variable is letter f. The value of letter f depends on the value chosen for g. Usually the dependent variable is isolated on one side of an equation.

Answer:

-11/3, -2.25, -3/2, 0.5

Step-by-step explanation:

Hey there!

Formula:

SUM of all numbers / TOTAL numbers you have in your data plot

EQUATION:

(10 + 10 + 13 + 14 + 16 + 19 + 23) / 7

10 + 10 + 13 + 14 + 16 + 19 + 23
= 20 + 13 + 14 + 16 + 19 + 23

= 33 + 14 + 16 + 19 + 23

= 47 + 16 + 19 + 23

= 63 + 19 + 23

= 82 + 23

= 105

105 / 7

= 15

So, therefore the answer is: Naeem's Work. Start fraction 10, 10, 13, 14, 16, 19, 23 Over 7 end fraction = StartFraction 105 Over 7 end fraction = 15 (Option A.)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study music, the probability the person is in HS is about 44%.

Step-by-step explanation:

In the music column, we see that

total people who prefer to study with music =   153

high school students = 68

So, probability of high school students who study with music

= 68/153

= 0.44

= 44%.

College students = 85

Probability of college students who prefer to study with music

=  85/153

= 0.56

= 56%.

So, the correct statements are :

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study with music, the probability the person is in HS is about 44%.

Answer:

3 and 5

Step-by-step explanation:

2022

Answer:

okay so the is 140 degrees right and d and e are on a straight line so extend every line in that diagram so to get a it will be 180 degrees - 140 and e is equals to 40 degrees k will be 180 degrees because of angle y and d Angle c is equals to 100 degrees because it falls on a straight line with 80 degrees and angles in a straight line add up to 180° uncle g is equals to 100 degrees because it alternate angles c

The measure of angle g from the given figure is 80°.Therefore, option C is the correct answer.

A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.

Given that, angle d is 140°.

We know that, sum of interior angles of a quadrilateral is 360°.

From the given figure,

c°+80°=180°

c°=100°

Now, 40°+d°+g°+c°=360°

40°+140°+g°+100°=360°

g°+280°=360°

g°=80°

Therefore, option C is the correct answer.

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(-7)¹ x (-7)⁻⁴ = (-7)⁻⁵

Answer:

I think your answer is h = -1

Answer:

-8h+13=3

-8h=3-13

_8h=_10

h=5\4

Answer: Si 3-3 \ 4 lb de dulces cuestan $ 20.25, ¿cuánto sería 1 lb de dulces

Step-by-step explanation:

It will take 8 weeks to Tom to achieve his goal.

The amount earned by him is given by multipliy number or hours and eaning in a hour.

Given

Tom has a goal of saving enough money to buy a new set of rims for his car.

Tom makes $7. 50 an hour take home pay at his job working 15 hours per week.

The earning of Tom in an hour = $7.5

If tom worked 15 hours in a week, then the amount earned by him in one week is;

[tex]=15\times 7.5\\\\=112.5[/tex]

The required amount to achieve his goal = $900

The number of week he need to work to achieve his target is;

[tex]= \dfrac{900}{112.5}\\\\= 8[/tex]

Hence, It will take 8 weeks to Tom to achieve his goal.

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Answer:

x = -6

Step-by-step explanation:

we can see that x=-6 when y=2 on the graph

Answer:

-4 should be the answer

good luck

Answer:

Step-by-step explanation:

1. solution

160 gallons = 2 min

160 x 5 = 2 x 5

800 gallons = 10 min

2. solution

160 x 19 = 2 x 19

2880 = 36

So

approximately 38 min

I am pretty sure the answer is 37 more bags.

Kendall need 33 more bags of popcorn to be sold.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, she needs to raise $400, we need to find how many more must she sell in order to raise at least $400.

Let she needs to sell x more bags of popcorn,

Therefore,

140 + 8x = 400

8x = 260

x = 32.5 ≈ 33

Hence, Kendall need 33 more bags of popcorn to be sold.

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Answer:

See below.

Step-by-step explanation:

Solving :-

#1

#2

They both have the numerator in both solutions to be 5 and -3 respectively. I believe this is because both equations have the constant term, c, to be -15 and 5 and -3 are factors of -15.

Answer:

See below

Step-by-step explanation:

15% of 120 is 18

120 plus 18 is 138

=138

Answer:

A.1/10

you provided the answer... you said one tenth which is 1/10

Step-by-step explanation:

Answer:

A 1/10

Step-by-step explanation:

your welcome

Answer:

f =[tex]\frac{6}{5h}[/tex]+m

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

5h(−m+f)=6

Step 1: Add 5hm to both sides.

5fh−5hm+5hm=6+5hm

5fh=5hm+6

Step 2: Divide both sides by 5h.

5fh/5h=5hm+6/5h

f=5hm+6/5h

Answer:

[tex]\huge\boxed{\sf 22670.80 \ cm^3}[/tex]

Step-by-step explanation:

Height = h = 20 cm

Diameter = d = 38 cm

Radius = d / 2 = 38 / 2 = 19 cm

Volume of cylinder:

[tex]= \pi r^2 h\\\\= (3.14)(19)^2(20)\\\\= (3.14)(361)(20)\\\\= 22670.80 \ cm^3\\\\\rule[225]{225}{2}[/tex]

Solution:

Given:

First, let's find the radius of the cylinder as the radius of the cylinder is included in the formula.

[tex]\text{Diameter = 2(Radius)}[/tex]

[tex]\text{Radius} = \dfrac{\text{Diameter}}{2}[/tex]

[tex]\text{Radius} = \dfrac{38}{2}[/tex]

[tex]\text{Radius} = 19 \ \text{cm}[/tex]

Recall that the volume of a cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.

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

[tex](\pi)( r^{2})( h) = \text{Volume of cylinder}[/tex]

[tex](3.14)( 19^{2})( 20) = \text{Volume of cylinder}[/tex]

[tex]\boxed{22670.8 \ \text{cm}^{3} = \text{Volume of cylinder}}[/tex]

Answer:

x = 5

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = x^2

9 + 16 = x^2

25 = x^2

√25 = √x^2

x = 5

I think the answer is 59.6

The length of BC to the nearest tenth will be 20.7 units

The steps are as follow:

AC=B=15

AB=C=13

BC=A=?

Cos95° = (b^2+c^2-a^2)/2bc

Cos95° = (15^2+13^2-a^2)/(2*15*13)

2*13*15*cos 95 =15^2+13^2-a^2

-34=225+169-a^2

A^2=394+34

A^2=428

A = 20.68 = 20.7 units

So the length of BC to the nearest tenth will be 20.7 units

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To dilate of the small triangle to get the large triangle the center of dilation is required

The description of the dilation is as follows;

Location of the center of dilation;

The coordinate of the center of dilation is given as follows;

[tex]\left( x_0 = \dfrac{k \cdot x_1 - x_2}{k - 1}, \ y_0 = \dfrac{k \cdot y_1 - y_2}{k - 1} \right)[/tex]

Where;

k = The scale factor of dilation

(x₁, y₁) = A coordinate point on the preimage

(x₂, y₂) = A coordinate point on the image

From the given drawing, we have;

Two vertices on the preimage are; (2, 0), and (5, 1)

Two corresponding vertices on the image are; (0, 0), and (9, 3)

Using the formula for length, l, we have;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

[tex]l_{small} = \sqrt{\left (1 -0 \right )^{2}+\left (5-2 \right )^{2}} = \sqrt{10}[/tex]

[tex]l_{large} = \sqrt{\left (9 -0 \right )^{2}+\left (3-0 \right )^{2}} = \sqrt{90} = 3 \cdot \sqrt{10}[/tex]

[tex]\left( x_0 = \dfrac{3 \times 2 -0}{3 - 1}, \ y_0 = \dfrac{3 \times 0 - 0}{3 - 1} \right)[/tex]

[tex]\left( x_0 = 3, \ y_0 = 0\right)[/tex]

The steps to create the larger triangle from the center of dilation are as follows;

Alternatively larger triangle can also be created using the vertices as follows;

The coordinates of the third vertex of the small triangle are; (4, -2)

To obtain the coordinates of the large triangle, the coordinates of

the small triangle are multiplied by the scale factor, followed by adding the

coordinates of the center of dilation, we have that the coordinates of the

image are;  

[tex](k \times x_{ai} + x_0, \ k \times y_{ai} + y_0)[/tex]

Where;

[tex](x_{ai}, \ y_{ai})[/tex] = The difference between the coordinate values of the vertices of

the small triangle and the center of dilation, we have;

(2 - 3, 0 - 0) = (-1, 0)

(5 - 3, 1 - 0) = (2, 1)

(4 - 3, -2 - 0) = (1, -2)

We have [tex](k \times x_{ai} + x_0, \ k \times y_{ai} + y_0)[/tex] are;

(3 ×(-1) + 3, 3× 0 + 3) = (-3 + 3, 0) = (0, 0)

(3 × 2 + 3, 3 × 1 + 0) = (6 + 3, 3) = (9, 3)

(3 × 1, 3 × (-2) + 0) = (3 + 3, -6) = (6, -6)  

The vertices of the larger triangle are found as (0, 0), (9, 3), (6, -6)

By drawing lines joining derived vertices the larger triangle can be created

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Answer:

Step-by-step explanation:

START

=> Alternate Interior Angles (Slanted Downwards Right)

=> Vertical Angles (Up)

=> Linear Pair (Right)

=> Corresponding Angles (Down)

=> Alternate Exterior Angles (Down)

=> Interior Angles on the Same Side (Left)

=> Alternate Interior Angles (Left)

=> Corresponding Angles (Slanted Downwards Right)

=> Exterior Angles on the Same Side (Right)

FINISH

Answer:

Point of Intersection = (2/3, -16/3)

Step-by-step explanation:

Equation of line AB

=> y + 18 / -15 + 18 = x + 3 / -2 + 3

=> y + 18 = 3x + 9

=> y = 3x - 9

Equation of Line CD

=> y + 13 / -7 + 13 = x + 7 / -1 + 7

=> y + 13 = x + 7

=> y = x - 6

Intersection

=> 3x - 9 = x - 6

=> 2x = 3

=> x = 2/3

y = 2/3 - 6

y = -16/3

Point of Intersection = (2/3, -16/3)

The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

For the considered case, we're given that:

The final amount at the end of 4 years in the considered account of Laura is evaluated as:

[tex]A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)[/tex]

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

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Answer:

a=14

b=-5

c=3

Step-by-step explanation:

14 divided by 7 will give 2.

Using laws of indices {a^x/a^y}=a^x-y,using that law(-5-4 will give -9 bringing the -9 downward will make it positive )

same too for y