y = 3/2x + 5/4 −2x + 8y = −25

Answer with Step-by-step explanation:

We are given that

Height of ball after t seconds is given by

[tex]s(t)=-4t^2+20t+2[/tex]

a.Substitute the value of t=1

[tex]s(1)=-4(1)+20(1)+2=-4+20+2=18 ft[/tex]

b.Differentiate w.r.t x

[tex]s'(t)=-8t+20[/tex]

[tex]s'(t)=0[/tex]

[tex]-8t+20=0[/tex]

[tex]8t=20[/tex]

[tex]t=\frac{20}{8}=2.5[/tex]

Again differentiate w.r.t t

[tex]s''(t)=-8<0[/tex]

Hence, the height is maximum at t=2.5 s

[tex]s(2.5)=-4(2.5)^2+20(2.5)+2=27[/tex]

Maximum height of the baseball=27 ft

You want to setup an equation that will match the word problem. Let's call the amount of the first brand, F and the amount of the second brand, S.

We want the total mixture to be 310mL so: F + S = 310

Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)

Now, we can solve the system of equations using substitution.

F + S = 310

.06F + .11S = .08(310)

F = 310 - S      [solve 1st equation for F]

.06(310 - S) + .11S = .08(310)     [substitute into 2nd equation]

18.6 -.06S +.11S = 24.8

.05S = 6.2

S = 124

F + 124 = 310     [substitute answer for S back into original equation]

F = 186

Answer: to make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.

To make 240 milliliter of mixture that contain 8% vinegar, use 168 milliliter of first brand and 72 milliliter of second brand  

An equation between two variables that gives a straight line when plotted on a graph.

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

Given,

Quantity of vinegar in first brand = 5%

Quantity of vinegar in second brand = 15%

The chef wants to make 240 milliliter of a dressing that 8% vinegar

Consider,

Quantity of first brand =  x

Quantity of second brand = y

Then,

x + y = 240

x=240-y

We want total of 8% of mixture by adding first brand and second brand

0.05x + 0.15y = 0.08×240

Substitute the value of x in this equation

0.05(240-y) + 0.15y =19.2

12 - 0.05y + 0.15y = 19.2

0.1y = 7.2

y = 72

Substitute the value of y in first equation

x + y = 240

x + 72 =240

x = 168

Hence, to make 240 milliliter of mixture that contain 8% vinegar, use 168 milliliter of first brand and 72 milliliter of second brand  

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Answer:

3min 12sec

Step-by-step explanation:

Turn 2min 6sec into seconds

2m 6sec = 126 secs

divide 525 by 126

525/126 = 4.16666667

divide 800 by 4.16666667

800/4.16666667 = 192

192 to min secs = 3min 12sec

Given:

Given that the radius of the circle is 9 units.

The measure of the angle JHG is 160°

We need to determine the area of the shaded sector of the circle.

Area of the circle:

The area of the circle can be determined using the formula,

[tex]A=(\frac{\theta}{360}) \pi r^2[/tex]

where r is the radius

Substituting r = 9 and [tex]\theta=160[/tex], we get;

[tex]A=(\frac{160}{360}) \pi (9)^2[/tex]

Simplifying, we get;

[tex]A=(\frac{160}{360}) \pi (81)[/tex]

[tex]A=36 \pi[/tex]

Thus, the area of the shaded sector of the circle is 36π units²

Hence, Option a is the correct answer.

Answer:

The answer is 75%

Step-by-step explanation:

Answer:

75 people

Step-by-step explanation:

Answer:

3d-12=b

Step-by-step explanation:

Answer:3d − 12.

Step-by-step explanation:

Dylan’s weight is d.

Three times Dylan’s weight is 3d.

Twelve less than three times Dylan’s weight is 3d − 12.

So, the expression for Bruce’s weight in terms of Dylan’s weight is 3d − 12.

Answer:

6(y + 4) = -3(2y - 2) + 8y

6y + 24 = -6y + 6 + 8y

6y + 24 = 2y + 6

Subtract -2y on both sides

4y + 24 = 6

Subtract -24 on both sides

4y = -18

y = - 4.5

Answer:

-9/2 or -4.5

Step-by-step explanation:

Final answer:

To calculate Mr. Rich's take-home pay, add together the regular and overtime pay, then subtract the deductions. The result is a take-home pay of $10,737 that is option A is correct.

Explanation:

The student is asking how to calculate the take-home pay for Mr. Rich after deductions from his income. To find the take-home pay, we first add together Mr. Rich's regular pay and overtime pay to get his total earnings. Then, we subtract the deductions to find the amount he takes home.

Regular pay: $9,278

Overtime pay: $2,132

Total earnings before deductions: $9,278 + $2,132 = $11,410

Deductions (taxes and loan): $673

Take-home pay: $11,410 - $673 = $10,737

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

You know:

m = 3

b = -4         So substitute/plug it into the equation

y = mx + b

y = 3x + (-4)

y = 3x - 4    Your answer is a

The equation representing a line with a slope of 3 and a y-intercept of -4 is y = 3x - 4. Hence, the correct option is (a).

The student's question pertains to finding the equation of a line with a given slope and y-intercept. In the slope-intercept form of a linear equation, which is y = mx + b, the m represents the slope, and the b represents the y-intercept. Therefore, for a line with a slope of 3 and a y-intercept of -4, the corresponding equation would be y = 3x - 4.

So, the correct answer is:

y = 3x - 4

This is because it directly shows a slope (m) of 3 and a y-intercept (b) of -4, which matches the line properties the question is asking for.

Answer:

A candle! They burn slower when they're bigger and fatter, but when they're thin they burn quicker! A slight breeze of wind can burn it out quickly.

P.S

Have a Amazing Day!

Faker/Tosrel

Answer: A. He would not have to pay

Step-by-step explanation:

Answer:

He would not have to pay any deductible because he was not at fault.

Step-by-step explanation:

AP3X

Answer:

it is (7,-6)

Step-by-step explanation:

Answer:

ITS A

Step-by-step explanation:

SLOVE FOR X AND Y GIVEN THAT ABC =DEF

Answer:

11

Step-by-step explanation:

22/2=11

Answer:

2 1/5, 1/10, - 2 3/4, -4

Step-by-step explanation:

If you're ever confused about whether a number is greater than another number, think about them on a number line. If the number is further to the left than another number, it is less (for example, 0 is further to the left than 2).

Answer:

>50

Step-by-step explanation:

It says there is at most 50 people so it'd be less than 50

The inequality for "There are at most 50 people on the bus." is b≤ 50.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

As, we know that the sign for atmost ≤.

Now, There are at most 50 people on the bus.

let the number of bus represented by 'b'.

Then, the inequality is

b≤ 50.

Hence, the inequality is b≤ 50.

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Answer:

those fractions are perpendicular

Step-by-step explanation:

-27/62

62/27

Given:

Given that FGH is a right triangle. The sine of angle F is 0.53.

We need to determine the cosine of angle H.

Cosine of angle H:

Given that the sine of angle F is 0.53

This can be written as,

[tex]sin F=0.53[/tex]

Applying the trigonometric ratio, we have;

[tex]\frac{HG}{FH}=0.53[/tex] ----- (1)

Now, we shall determine the value of cosine of angle H.

Let us apply the trigonometric ratio [tex]cos \ \theta=\frac{adj}{hyp}[/tex], we get;

[tex]cos \ H=\frac{HG}{FH}[/tex] ----- (2)

Substituting the value from equation (1) in equation (2), we get;

[tex]cos \ H=0.53[/tex]

Thus, the cosine of angle H is 0.53

Answer:

[tex] \frac{3}{6} = \frac{1}{2} [/tex]

Step-by-step explanation:

Because the number 6 outcomes 3 times but 3 doesn't occur.

hope this helps you!

Answer:

y = - 2x - 2

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁  = (- 2, 2) and (x₂, y₂ ) = (1, - 4)

m = [tex]\frac{-4-2}{1+2}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2, thus

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

To find c substitute either of the 2 points into the partial equation

Using (- 2, 2), then

2 = 4 + c ⇒ c = 2 - 4 = - 2

y = - 2x - 2 ← equation of line

Answer:

Spread, Gap, Peak, Cluster

Step-by-step explanation:

Answer:

Tyey spent 3/25 on clothes and 1/4 on food

Step-by-step explanation:

12% is 12/100 which simplifies to 3/25

25% with 25/100 which simplifies to 1/4

Answer:

Clothes: 3/25

Food: 1/4

Step-by-step explanation:

Clothes: 12/100 = 3/25

Food: 25/100 = 1/4

Answer:

Can you put a better pic of it I can’t really see what it’s asking

Step-by-step explanation:

I’ll be glady to help

Answer:

total no of people = 30

number of people that visited notre dam = 16

number of people visited eiffel tower = 13

number of people that visited neither = 7

as per the question there the number of people that visited neither = 7/30

number of people that visited only one = ( 13 + 16)/30

= 29/30

this is the answer

plss mark me brainliest

Step-by-step explanation:

Answer:

25.5 miles

Step-by-step explanation:

The distance is equal to speed multiplied by time. When Jim rode at 12 mph for 2 hours, that means her rode for 24 miles(12*2), then he walked at 3 mph for half an hour, that means he walked for 1.5 miles(3*1/2). Add them both together, you get 25.5 miles.

The total distance covered by Jim is 25.5 miles.

To find the total distance covered by Jim, we need to add the distances covered while riding and walking.

Total distance covered = 24 miles + 1.5 miles = 25.5 miles

Therefore, the total distance covered by Jim is 25.5 miles.

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Answer:

6:00

Step-by-step explanation:

Answer: 468[tex]\pi[/tex] in^2

Step-by-step explanation:

Answer: Ms. Van Vugt will need 2 cups of milk or 1 pint of milk to make 48 brownies.

Step-by-step explanation: For this situation, we know for every 12 brownies she will use 1/2 cup of milk. So we can count up for every 12 brownies.

12 brownies = 1/2 cup of milk

24 brownies = 1 cup of milk

36 brownies = 1 1/2 cup of milk

48 brownies = 2 cups of milk

So, Ms. Van Vugt will need 2 cups of milk or 1 pint of milk to make 48 brownies.

Correctly written thermochemical equations include gaseous, liquid, or solid state indications as well as the enthalpy change, ΔH. Out of the presented options, the equations for C3H8(g), Fe(s), and 2C8H18 correctly represent thermochemical equations, but NH4Cl does not due to lacking these features.

The question is asking which equation is a correctly written thermochemical equation. A thermochemical equation is a balanced stoichiometric chemical equation that includes the enthalpy change, ΔH.

Looking at the given equations, the first is:

C3H8(g) + 5O2(g)→3CO2(g) + 4H2O(l) , ΔH= −2,220 kJ/mol. This is a correct thermochemical equation.

The second equation is:

Fe(s) + O2(g)→Fe2O3(s) , ΔH= −3,926 kJ. This is also a correct thermochemical equation.

The third equation lacks the gaseous, liquid, or solid state indications as well as the ΔH value, therefore it is not a thermochemical equation.

The fourth equation, 2C8H18 + 25O2→16CO2 + 18H2O , ΔH= −5,471 kJ/mol, is definitely an example of a correct thermochemical equation.

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