Answer:
h = 61.25 m
Step-by-step explanation:
It is given that,
The initial velocity of the ball, v = 60 m/s
It is thrown from a height of 5 feet, [tex]h_o=5\ ft[/tex]
We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :
[tex]h=-16t^2+vt+h_0[/tex]
Putting all the values,
[tex]h=-16t^2+60t+5[/tex] .....(1)
For maximum height, put
[tex]\dfrac{dh}{dt}=0\\\\\dfrac{-16t^2+60t+5}{dt}=0\\\\-32t+60=0\\\\t=\dfrac{-60}{-32}\\\\t=1.875\ s[/tex]
Put t = 1.875 in equation (1)
[tex]h=-16(1.875)^2+60(1.875)+5\\\\h=61.25\ m[/tex]
So, the maximum height reached by the ball is 61.25 m.
6.5 divided by 2.25 I need help guys please help me
Answer:
This is the answer 2.888888888
Malia split up the large container of salsa that she bought into 5 bowls to place around her house for the party if each Bowl contain 8.5 ounces of the salsa which shows the correct equation and value of x the total amount of salsa in the original container
Answer:
You never gave the answer choices but it should look something like this.
5 ⋅ 8.5 = x
or
x / 5 = 8.5
as for x. X=42.5
Solve this Problem showing Work
Using cosine ratio from trigonometric ratio, the distance he needs to throw is 11.55ft
How far does he need to throw his bat star?To solve this problem, we need to use trigonometric ratio since from the triangle given, Batman and Joke makes a right-angle triangle with the house.
Since the house is 10ft high and the angle between Batman and Joke is 30°.
Using trigonometric ratio, we can apply cosine ratio to determine the distance in which he needs to throw the star.
cosθ = adjacent / hypothenuse
cos 30 = 10 / x
cross multiply both sides
x = 10 / cos 30
x = 11.55ft
He needs to throw the star a distance of 11.55ft
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may someone help with this midterm review????? i don’t get it
Answer:
D
Step-by-step explanation:
Madison had $1056 in her checking account. She made 4 deposits of $205 each. After the deposits, Madison decides to go shopping. She spends $108.64 at Target. She also spent $388.12 at Walmart. Write another integer to represent the total amount withdrawn from Madison’s account after going shopping. Show your work. *
Answer:
-496.76
Step-by-step explanation:
108.64 + 388.12 = 496.76Because these were withdrawals or payments, it would be negative: -496.76I hope this helps!
Currently Citibank will pay 2.2% interest compounded monthly on a 5-year certificate of deposit.
Suppose Daffy D. inherits $20,000 from Elmer F. and deposits the money for 5 years., what lump sum, to the nearest cent, will Daffy have at the end of this 5-year period?
To the nearest cent, Daffy will have approximately $22,752.02 at the end of the 5-year period.
To calculate the lump sum that Daffy will have at the end of the 5-year period, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount or lump sum
P is the principal amount (initial deposit)
r is the annual interest rate (2.2% in decimal form, so 0.022)
n is the number of times interest is compounded per year (monthly compounding, so n = 12)
t is the number of years (5 years)
Let's substitute the values into the formula:
A = $20,000(1 + 0.022/12)^(12*5)
Calculating this expression, we get:
A ≈ $20,000(1.001833)^60
A ≈ $20,000(1.1376)
A ≈ $22,752.02
if Daffy deposits an inheritance of $20,000 in a 5-year certificate of deposit with an annual interest rate of 2.2% compounded monthly, he will have approximately $22,752.02 as a lump sum at the end of the 5-year period.
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What is the value of 4³ ? 12 16 43 64
Answer:
64
Step-by-step explanation:
[tex]4^{3}[/tex] = 4 × 4 × 44 × 4 × 4 = 64I hope this helps!
use the line plot below to answer the following questions when x=9
Answer:
8 x + 3 = 75
9 x - 6 = 75
5 x + 5 = 50
Step-by-step explanation:
8 x + 3
8 (9) + 3
72 + 3
75
---------------------------
9 x - 6
9 (9) - 6
81 - 6
75
---------------------------
5 x + 5
5 (9) + 5
45 + 5
50
Explain how counting number of girls in five children family can be treated as a binomial experiment. What assumptions are necessary?
This is a binomial experiment and you'll use the binomial probability distribution because:
There are two choices for each birth. Either you get a girl or you get a boy. So there are two outcomes to each trial. This is where the "bi" comes from in "binomial" (bi means 2).Each birth is independent of any other birth. The probability of getting a girl is the same for each trial. In this case, the probability is p = 1/2 = 0.5 = 50%There are fixed number of trials. In this case, there are 5 births so n = 5 is the number of trials.Since all of those conditions above are met, this means we have a binomial experiment.
Some textbooks may split up item #2 into two parts, but I chose to place them together since they are similar ideas.
Gina has 5 pencils. Her sister has twice as many pencils. What is the answer
Answer:
10
Step-by-step explanation:
Writing Find the quotient -18/0
. Use pencil and paper. How would the answer be different for the quotient 0/-18
? What are the rules for divisions involving 0?
Answer:
anything divided by 0 is zero or the other way around
Step-by-step explanation:
A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is the surface area? Explain or show your reasoning?
Answer:ehhwvwhsv
Step-by-step explanation:
Jason enters six races: biking, canoeing, horseback riding, ice skating, running, and swimming. He places between first and fifth in each. Two places are consecutive only if the place numbers are consecutive. Jason's places in canoeing and running are consecutive. His places in ice skating and swimming are consecutive. He places higher in biking than in horseback riding. He places higher in canoeing than in running.
1. If Jason places higher in running than in biking and places higher in biking than in ice skating and swimming, which one of the following allows all six of his race rankings to be determined?
a. He places fourth in horseback riding.
b. He places fourth in ice skating.
c. He places the same in both horseback riding and ice skating.
d. He places the same in both horseback riding and swimming.
e. He places higher in horseback riding than in swimming.
If Jason places higher in running than in biking and places higher in horseback riding than in ice skating, exactly how many of his rankings can be determined?
a. 2
b. 3
c. 4
d. 5
e. 6
Answer:
1) e: He places higher in horseback riding than in swimming.
2) e: 6
Step-by-step explanation:
1)If Jason places higher in running than in biking and places higher in biking than in ice skating and swimming, which one of the following allows all six of his race rankings to be determined?
We are told in the question that:
Two places are consecutive only if the place numbers are consecutive.
Therefore, Option e. He places higher in horseback riding than in swimming. Is that one that allows all his race rankings to be determined is correct
2)If Jason places higher in running than in biking and places higher in horseback riding than in ice skating, exactly how many of his rankings can be determined?
From the above comprehension, we are told that Jason entered six races: which are as follows: biking, canoeing, horseback riding, ice skating, running, and swimming.
Therefore, since he entered 6 races, each races would have a ranking of their own. Hence, the number of his rankings that can be determined is 6.
Option e is correct.
1. e: He places higher in horseback riding than in swimming
2. e: 6
We're given:
canoeing and running are consecutive (which means they cannot be separated with other middle number and that they do not overlap). ice skating and swimming are consecutive rank in biking is higher than in horseback riding (which means they cannot be overlapped but can be separated by middle ranks).rank in canoeing > rank in runningFirst question gives:
running rank > biking rankbiking rank > ice skating rankThis situation if mixed with point e :
Horseback riding rank > rank in swimming
Then this is what we get:
Canoeing = 1st position
Running = 2nd position
biking = 3rd position
Ice Skating = Horseback riding = 4th rank (overlapped since overall he can only have all 6 ranks from first to fifth)
Swimming = 5th rank
Thus option e allows all six of his races rankings to be determined.
Second condition gives:
1. Rank in running > rank in biking
2. Rank in Horseback riding > rank in swimming
This implies that
canoeing rank > running rank > biking rank > horseback riding > swimming
And since ranks cannot go outside from first to fifth position and since ice skating is consequent to swimming thus we have:
canoeing rank = 1
running rank = 2
biking rank = 3
horseback riding rank = ice skating ranking= 4
swimming rank = 5
Thus option e is correct as all the six rankings are determined.
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Factor 64b - 16c to identify the equivalent expressions
5
4 points
Suppose your bank charges a $7 monthly fee and $0.11 per check. If you write 62 checks in a year, how much money in fees would you expect to pay for the year? Type out a
calculations and make sure your final answer is clear.
Given the function h(a)=9a2+46a, solve for h(a)=−5
Please answer this for me
Answer:
2?
Step-by-step explanation:
Answer:
2? honestly this was a year ago and I doubt you care so Im just sayin' what the other guy said XD
GOOD DAY!!
RSTU is a parallelogram. If m∠TUV = 78° and m∠TVU = 54°, explain how you can find the measure of ∠SRV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response.
The measure of angle ∠SRV in parallelogram RSTU is 78°.
Step 1: Since RSTU is a parallelogram, opposite angles are congruent. Therefore, ∠TUV is congruent to ∠SRV. So, we can say that m∠SRV = 78°.
Step 2: In triangle TVU, the sum of the angles is 180°. Using this fact, we can find the measure of ∠VUT.
∠VUT = 180° - (m∠TUV + m∠TVU)
∠VUT = 180° - (78° + 54°)
∠VUT = 180° - 132°
∠VUT = 48°
Step 3: In triangle VUT, the sum of the angles is 180°. Using this fact, we can find the measure of ∠UTV.
∠UTV = 180° - (m∠VUT + m∠TVU)
∠UTV = 180° - (48° + 54°)
∠UTV = 180° - 102°
∠UTV = 78°
Step 4: Since RSTU is a parallelogram, opposite angles are congruent. Therefore, ∠UTV is congruent to ∠SRV. So, we can say that m∠SRV = 78°.
Step 5: From Steps 1 and 4, we can conclude that ∠SRV measures 78°.
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To find the measure of ∠SRV we use the properties of triangles and parallelograms. After finding the measure of ∠UTV based on the other angles of the triangle, we use the property of parallelograms that opposite angles are equal to find that ∠SRV = 48°
Explanation:To find the measure of ∠SRV in the given parallelogram RSTU, we will use the properties of triangles and parallelograms. Firstly, with m∠TUV = 78° and m∠TVU = 54°, because they are angles in a triangle, they add up to 180°. So, we can find the measure of the third angle ∠UTV. ∠UTV = 180° - m∠TUV - m∠TVU = 180° - 78° - 54° = 48°.
Secondly, because RSTU is a parallelogram, opposite angles are equal. Therefore, ∠SRV = ∠UTV = 48°
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ten bags of sugar weigh 1 kilogram how many gram does each bag of sugar weigh
Answer:
because there are 1000 grams in a kilogram then 1000 ÷ 10 is 100. so every bag weighs 100 grams
Evaluate: -67.8 - 5.72
Answer:
-73.52
Step-by-step explanation:
Answer:
-73.52
Step-by-step explanation:
If triangle ABC is reflected across the line y = x, are the pre-image and image congruent? Why, or why not?
OYes, distance and angle measure are preserved
OYes, angle measure is preserved and distance is not
O No, distance is preserved but angle measure is not
O No, neither distance nor angle measure are preserved
The correct answer is: O Yes, distance and angle measure are preserved.
When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.
This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.
Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.
Here's why:
Distance preservation:
When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.
This holds true for all corresponding points of the triangle.
Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.
Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.
Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.
It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.
If the line of reflection were different, the triangles would not be congruent.
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Help me plss I need it
Answer:
Expanded Form = 30 + 8 + 0.4 + 0.06 + 0.004
Standard Form = 38.464
Step-by-step explanation:
These are the answers because:
1) Expanded form means to write a number to show the value of each digit
2) Standard form means to write down the number that is describing described
Hope this helps! :D
what is the approximate area of a circle with a radius of 4 feet
Answer:
Area = 50.24 feet^2
Step-by-step explanation:
radius = 4 feet
Area =?
[tex]Area =\pi r^2\\\\[/tex]
Substitute values into the given equation
[tex]Area =3.14\times 4^2\\\\Area =3.14\times 16\\\\Area =50.24\:ft^2[/tex]
3/4x+5−1/2x=3 what is the value of x?
Answer:
-1/8 is the answer
Step-by-step explanation:
1.) 1st we have to take 1/2x and make the bottom number 4. so we multiply by 2 and you should get 2/4.
2.) so now the equation should be 3/4x + 5 -2/4x = 3. now you take 3/4x and -2/4x and subtract them and you should get 1/4x.
3.) now the equation should look like 1/4x + 5 = 3. now we need to get all whole numbers to one side. so we will subtract 5 from 5 and that will cancel it out and we need to do that to both sides. so we will subtract 5 from 3 and you will get -2.
4.) now the equation should look like 1/4x = -2. now you put a 1 under the 2 to make it a fraction. it should look like 2/1 and then you are going to flip it because that is how you divide fractions. so now your equation should look like 1/4x = 1/2. now you multiply strait across both bottom and top. and you will get x = -1/8 and that is your answer.
hope this helped!
p.s it would be cool if you gave me brainliest.
find the coefficients and constants of a^2+2+7b
Answer:
coefficients: 7, from the term 7b
Constants: 2 (not the exponent)
Step-by-step explanation:
Coefficients are the number in front of a variable and constants are normal numbers without variables or exponents.
Solve 4(3x+3)=15x+7-3x+5
Answer:
Infinite amount of solutions
Step-by-step explanation:
Step 1: Write equation
4(3x + 3) = 15x + 7 - 3x + 5
Step 2: Solve for x
Distribute 4: 12x + 12 = 15x + 7 - 3x + 5Combine like terms: 12x + 12 = 12x + 12Subtract 12 on both sides: 12x = 12xDivide both sides by 12: x = xHere, we can see that x would be infinite amount of solutions. We can plug in any number x and it would render the equation true.
Select all TRUE statements that apply. Line y and line z intersect and create four right angles.
Lines y and z are Intersecting
Lines y and z are Parallel
Lines y and z are Perpendicular Lines
Lines y and z form an acute angle and an obtuse angle.
Answer:
Lines y and z are Intersecting
Lines y and z are Perpendicular Lines
What is the solution set to the inequality (4x-3)(2x-1)>0?
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
The table shows the times of the first three finishers in a race.
100-Meter Dash Results
Place Time (seconds)
First 12.89
Second 13.52
Third 14.05
Which statements are true? Choose all that are correct.
A.
The difference in time between the first-place finisher and the second-place finisher is 0.53 seconds.
B.
The difference in time between the second-place finisher and the third-place finisher is 0.53 seconds.
C.
The difference in time between the first-place finisher and the third-place finisher is 1.16 seconds.
D.
The difference in time between the first-place finisher and the second-place finisher is the same as difference in time between the second-place finisher and the third-place finisher.
Answer:
Option "B" and "C" are True
Step-by-step explanation:
Given time:
First 12.89
Second 13.52
Third 14.05
Find:
True statement
Computation:
Difference between first and second = 13.52 - 12.89 = 0.63
Difference between second and third = 14.05 - 13.52 = 0.53 (Second true)
Difference between first and third = 14.05 - 12.89 = 1.16 (Third true)
