In two weeks he will lose 3 pounds
In 8.5 weeks he will lose 12.75 pounds
p= w(-1.5)
What is the surface area of the cylinder
Answer: 468[tex]\pi[/tex] in^2
Step-by-step explanation:
This Question: 1 pt
A baseball is hit so that its height in feet after t seconds is s(t) = - 4t"" + 20t+2.
(a) How high is the baseball after 1 second?
(b) Find the maximum height of the baseball.
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
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand contains 15% vinegar. The chef wants to make 240 milliliters of a dressing that is 8% vinegar. How much of each brand should she use?
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
What is Linear equation?
An equation between two variables that gives a straight line when plotted on a graph.
What is Percentage?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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You measure my life in hours and I serve you by expiring. I'm quick when I'm thin and slow when I'm fat. The wind is my enemy.
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
Ms. van Vugt is making brownies. Her recipe calls for 1/2 cup of milk for 12 brownies. She is making 48 brownies. How much milk does she need? (HINT: How many cups are in a pint?) *
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.
Mark filed a claim after his car was rear-ended by another driver. Which
deductible would he have to pay first before he receives a payment from the
insurance company?
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
What is the equation of the line that passes through (-2, 2) and (1, -4)?
y=2x-2
y=-2x-4
y=-2x-2
y= 2x+4
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
20pts. The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times. What is the experimental probability of rolling a 3 or a 6?
Enter your answer as a fraction in the simplest form, in the box.
Outcome 1 2 3 4 5 6
Number of times outcome occurred 10 6 4 8 6 6
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!
Cual es la mitad de 22
Answer:
11
Step-by-step explanation:
22/2=11
If 300 people are surveyed, how many would be expected to prefer vanilla yogurt?
A circle graph titled Favorite Kind of Yogurt. 25 percent is vanilla, 35 percent is swirl, 40 percent is chocolate.
12
25
50
75
Answer:
The answer is 75%
Step-by-step explanation:
Answer:
75 people
Step-by-step explanation:
Is 27/-62 and -62/-27 parallel , perpendicular or neither ? please help !
Answer:
those fractions are perpendicular
Step-by-step explanation:
-27/62
62/27
In one month, Mr. Rich earns $9,278 in regular pay and $2,132 in overtime pay. A total of $673 is
deducted from his paycheck for taxes and a company loan. How much is his take-home pay?
$10,737
$10,747
$11,273
$10,727
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
Solve for y.
6(y+4)=-3(2y-2) +8y
Simplify your answer as much as possible.
y =
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:
Distribution; 6y+24 = -6y+6+8yCombine like terms; 6y+24 = 2y+6Put y on one side; 6y-2y = -24+6Simplify; 4y = -184y/4 = -18/4y= -9/2 or -4.5I need help with this question please!
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
NEED HELP ASAP! Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds
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
Write an inequality for: There are at most 50 people on the bus.
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.
What is Inequality?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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30 people visited Paris 13 visited the Eiffel Tower, 16 visited Notre dam and 7 visited neither.
What's the probability that a person chosen at random only visited one of these places
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:
Can someone help me???
Answer:
ITS A
Step-by-step explanation:
SLOVE FOR X AND Y GIVEN THAT ABC =DEF
“the jones family spent 12% of their family budget on clothes and 25% on food. what fractional part of the budget did they spend in each category”
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
One December day, two spies decide that they must meet to exchange documents. One is in New York City and the other is in Indianapolis, 700 miles away by train. The spies want to be together for only a brief moment. They consult train schedules and find that there is a stop that will meet their needs.
The Midwest Flyer leaves Indianapolis at midnight and arrives in New York City at 2:00 PM, 14 hours later. The Silver Streak leaves New York City at 2:00 AM and arrives in Indianapolis at noon, 10 hours later. How far from each city do the spies plan to rendezvous, and at what time?
Answer:
6:00
Step-by-step explanation:
Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weight.
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.
What is the area of the SHADED sector of the circle?
a. 36 pi units2
b. 8 pi units2
c. 48 pi units2
d. 81 pi units2
PLEASE HURRY!! I HAVE LIMITED TIME!! :)
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.
Right triangle FHG is shown. The sine of angle F is 0.53. What is the cosine of Angle h ?
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
Jim rode at average speed of 12 mph for 2 hours. Then, he
walked at average speed of 3 mph for 0.5 hour. What was the
total distance covered by Jim?
miles
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.
Calculating distancesTo find the total distance covered by Jim, we need to add the distances covered while riding and walking.
Distance covered while riding = Speed * Time = 12 mph * 2 hours = 24 milesDistance covered while walking = Speed * Time = 3 mph * 0.5 hours = 1.5 milesTotal 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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PLEASE HELP!! TON OF POINTS
Answer:
it is (7,-6)
Step-by-step explanation:
GIVING OUT 28 POINTS WHOEVER ANSWERS!!! A dot plot titled class size going from 10 to 50 in increments of 10. 10 has 1 dot, 20 has 5 dots, 30 has 7 dots, 40 has 0 dots, and 50 has 1 dot. How can Lakota describe the data on the dot plot? Choose all that apply.
A.)spread
B.)gap
C.)peak
D.)color
E.)size of dots
F.)cluster
Answer:
Spread, Gap, Peak, Cluster
Step-by-step explanation:
Which equation represents a line with a slope of 3 and y-intercept of -4?
a y = 3x -4
b y =4x −3
c y=−3x +4
d y=−4x + 3
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.
Explain what is important about the sign of the exponent and why it changes the solution.
Which equation is a correctly written thermochemical equation?
C3H8 (g) + 5O2 (g)→3CO2 (g) + 4H2O (l) , ΔH= −2,220 kJ/mol
Fe (s) + O2 (g)→Fe2O3 (s) , ΔH= −3,926 kJ
NH4Cl→NH4 + + Cl−
2C8H18 + 25O2→16CO2 + 18H2O , ΔH= −5,471 kJ/mol
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.
Explanation: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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Write the numbers in order from greatest to least.
-4, 2 1⁄5, -2 3⁄4, 1⁄10
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).