Answer:
$8.5
Step-by-step explanation:
divide 68.00 by 8
PLEASE HELP!!! LOTS OF POINTS!
A juggler throws a ball from an initial height of 4 feet with an initial vertical velocity of 30 feet per second. The height h (in feet) of the ball can be modeled by h 5 216t2 1 vt 1 s where t is the time (in seconds) the ball has been in the air, v is the initial vertical velocity (in feet per second), and s is the initial height.
23. Write an equation that gives the height (in feet) of the ball as a function of the time (in seconds) since it left the juggler’s hand.
24. If the juggler misses the ball, after how many seconds does it hit the ground?
Answer:
(x + 4y) (3x + 2z)
Step-by-step explanation:
First, write your problem as a mathematical expression:
3x^2 + 12xy + 2xz + 8yz
Factor out the greatest common factor from each group:
(3x^2 + 12xy) + 2xz + 8yz
3x (x + 4y) + 2z (x + 4y)
Factor the polynomial by factoring out the greatest common factor (GCF), x + 47
(x + 4y) (3x + 2z)
Step-by-step explanation:
Which statements are true about a triangular pyramid? Check all that apply.
It has exactly two faces that are triangles.
It has exactly three faces that are triangles.
It has exactly four faces that are triangles.
It has 4 vertices.
It has 5 faces.
It has 6 edges.
Answer:
It has exactly four faces that are triangles.
It has 4 vertices.
It has 6 edges.
Step-by-step explanation:
A triangular pyramid is also termed as a tetrahedron.
The properties of a triangular pyramid include:
four triangular faces,six edgesfour vertex corners.Among the four faces, any one of them can be considered to be the base of the pyramid.
The faces are of equal shape and size.
The edges have the same length.
The triangles are equilateral.
Answer: in short, C, D, And F
Step-by-step explanation:
The parallelogram shown below has an area of 35 units. find the missing height
Answer:
The missing height is 5 units
Step-by-step explanation:
Mathematically, the area of a parallelogram can be found using the formula below;
A = Base× Height
From the parallelogram diagram, we can identify that the base has a length of 7 units, a height of h units and an area of 35 square units
Substituting these values in the equation above, we have
35 = 7 × h
h = 35/7
h = 5 units
Answer:
5 real
Step-by-step explanation:
how to solve the question below
Answer:
Step-by-step explanation:
hello : here is an solution :
Find the volume of a right circular cone that has a height of 2.4 in and a base with a radius of 10.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
282.4 in 3
Step-by-step explanation:
Answer:
282.4
Step-by-step explanation:
An amusement park employee records the ages of the people who ride the new roller coaster during a fifteen-minute period.
Ages of riders: 42, 14, 19, 30, 49, 48, 16, 24, 38, 53, 24, 15, 18, 20, 25, 11, 18, 49, 54, 20, 17, 26, 37, 15, 28.
Complete the frequency table. Then select the correct histogram of the data.
Interval Frequency
10−19
20−29
30−39
40−49
50−59
A g617049a B g617049b
C g617049c D g617049d
The Frequency table is shown below and the first Histogram is correct Histogram.
What is Frequency table?A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.
We have the data:
Ages of riders: 42, 14, 19, 30, 49, 48, 16, 24, 38, 53, 24, 15, 18, 20, 25, 11, 18, 49, 54, 20, 17, 26, 37, 15, 28.
So, the Frequency table is
Interval Frequency
10−19 9
20−29 7
30−39 3
40−49 4
50−59 2
and, the first Histogram is correct.
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The completed frequency table is shown below.
The correct histogram of the data is: A. histogram A.
In Mathematics and Statistics, a frequency table can be used for the graphical representation of the frequencies or relative frequencies that are associated with a categorical variable or data set.
In a frequency distribution table, all classes must have the same class width. In this context, we would develop a grouped frequency table by using a class width of 10 as follows;
Interval Frequency
10 − 19 9
20 − 29 7
30 − 39 3
40 − 49 4
50 − 59 2
In conclusion, we can logically deduce that only histogram A correctly represents the ages of the people who ride the new roller coaster during a fifteen-minute period.
1/4b plus 6=16 how many beads are being used
Answer:
Step-by-step explanation:
[tex]\frac{1}{4}b+6=16[/tex]
Subtract 6 from both sides,
[tex]\frac{1}{4}b+6-6=16-6\\\\\frac{1}{4}b=10\\\\b=10*4\\b=40[/tex]
Answer:
40 beads
Step-by-step explanation:
We want to find how many beads, b are being used
1/4b+6=16
To do this, we have to solve for b, by getting b by itself.
First, move all the constants to the same side. Subtract 6 from both sides, since it is being added to 1/4b.
1/4b+6-6=16-6
1/4b=10
Next, divide both sides by 1/4, or multiply both sides by the reciprocal of 1/4.
To find the reciprocal, flip the numerator (top number) and denominator(bottom number)
1/4–> 4/1
4/1*1/4b=10*4/1
The 1/4 will cancel, leaving us with:
b=10*4/1
b=40
Graphing system of equations: y=5x+2 and y=-x+8
MAY SOMEBODY HELP PLEASE THANK YOU SO MUCH! The volume of a box is 400 in.^3in. The height is 5 in. What is the area of the base of the box?
I mark branliest!!!
Answer:
Step-by-step explanation:
Volume = 400 cubic inches
Area of base = length*breadth
length * breadth * height = 400
Area of the base * height = 400
Area of the base * 5 = 400
Area of the base = 400/5
Area of the base = 80 square inches
Solve for x. Assume that lines which appear tangent are tangent. See photo.
Relatives gave Timothy $15, $50, $25, and $18 for his birthday. What is the mean amount of money relatives gave Timothy for his birthday? The mean amount of money relatives gave Timothy was .
Answer:
The mean amount of money relatives gave Timothy was $27.
Step-by-step explanation:
The mean means the average of a set of numbers.
1) Add 15, 50, 25, and 18 together, which equals $108
3) Divide 108 by 4 (because there are 4 numbers) and you get 27
(hope this helps :)
There are 10 people waiting on standby at an airport to get on the next flight when 2 seats open up. One
of the seats is in first class, and the other is in coach. What error is made in the work shown below to
calculate the number of ways to choose the passengers to fill the seats?
101
10.9.8
(10-2)!21 81.2.1
10.9 90
2.
17 = 45
The correct formula for 10C2 was not used.
There is a multiplication error in the numerator.
The solution is for combinations, but the situation calls for permutations,
8! was incorrectly divided out of the numerator and the denominator.
Answer:
Step-by-step explanation: the awnser on edge is C the solution is for combinations, but the situation calls for permutations. Hope this helped :)
The error that is made in the work shown below is C. The solution is for combinations, but the situation calls for permutations.
What is permutation?It should be noted that permutations simply mean the ways that the objects from a set can be selected.
In this case, the error that is made in the work shown below is that the solution is for combinations, but the situation calls for permutations.
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what is the interquartile ra nge of this data set ? 2,5,9,11,18,30,42,55,58,73,81
Answer:
49
Step-by-step explanation:
You need to find the median,which is 30, then you figure out the innerquartile.....which is 9....then find out the outerquartile...58......then you find out the range of both of them....58 - 9 = 49
Plz correct me if I'm wrong
Task 1:
Your nephew is standing on his deck, which is 4 feet off the
ground. He tosses his toy up into the air at an initial velocity
of 7 feet per second. The equation h = -2t2 + 7+ + 4 models
the toy's height hin feet from the ground at t seconds after
he threw it.
What is the toy's maximum height?
Answer:
The toy's maximum height is [tex]10.12\ \text{feet}[/tex].
Step-by-step explanation:
The equation that models the toy's height in feet from the ground at t seconds after he threw it is given by :
[tex]h = -2t^2 + 7t + 4[/tex] .....(1)
It is required to find the toy's maximum height. For maxima or minima, put
[tex]\dfrac{dh}{dt}=0[/tex]
Plugging the value of t in above equation,
[tex]\dfrac{d(-2t^2 + 7t + 4)}{dt}=0\\\\-4t+7=0\\\\t=\dfrac{7}{4}\\\\t=1.75\ s[/tex]
Now put t = 1.75 s in equation (1) such that,
[tex]h = -2(1.75)^2 + 7(1.75) + 4\\\\h=10.12\ \text{feet}[/tex]
So, the toy's maximum height is [tex]10.12\ \text{feet}[/tex].
The toy's maximum height is 10.12 feet.
Calculation of the toy's maximum height:Since the nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air at an initial velocity of 7 feet per second. The equation is [tex]h = -2t^2 + 7+ 4[/tex]
So first we have to determine the t i.e.
[tex]d(-2t^2 + 7 +4) \div dt = 0\\\\-4t + 7 = 0\\\\ t = 7\div 4[/tex]
t = 1.75 s
Now
the height should be
[tex]= -2(1.75)^2 + 7(1.25)+ 4[/tex]
= 10.12 feet.
hence, The toy's maximum height is 10.12 feet.
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Which expressions show how to calculate the volume
of this prism? Check all that apply.
2(12 + 21 + 28)
3(4) +7
3(7)(4)
4(7)(3)
12(7)
21(28)
7 cm
4 cm
3 cm
Answer:
3(7)(4) c
Step-by-step explanaiton:
4(7)(3) d
12(7) e
Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation? y = 6 x + 18. y = 2 x minus 6. y = 6 (x + 18). Y = 2 (x minus 6). y = one-sixth x + 3. y = one-half x + 6. y = one-sixth x + 3. y = one-half x + 3.
Answer:
y = 2x - 6
Step-by-step explanation:
6x = y +18
2x - y = 6
-2x. -2x
-1(-y)= -1 (-2x +6)
y = 2x -6
Answer:
y=2x-6
Step-by-step explanation:
This is part of my knowledge check that's due today at 11:59 am. Please help me on this question
La un concurs de matematica se dau 40 de probleme. Pentr fiecare raspuns corect se acorda 7 puncte, iar pentru fiecare raspuns gresit se scad 5 puncte.La sfarsit,un elev a obtinut 232 de puncte.Cate raspunsuri corecte si cate raspunsuri gresite a dat elevul?
Answer:
a primit 36 corect ane 4 în mod greșit
Step-by-step explanation:
În această întrebare, ne preocupăm să calculăm numărul de răspunsuri corecte și de răspunsuri greșite pe care elevul le-a dat.
În primul rând, începem prin atribuirea de variabile.
Numărul de răspunsuri corecte să fie x în timp ce numărul de răspunsuri greșite să fie y
Deoarece există 40 de probleme în total, aceasta înseamnă că adăugarea ambelor este egală cu 40 matematic,
x + y = 40. ••• (i)
Acum să trecem la partea complicată. Fiecare răspuns corect = +7. Răspunsul corect total este astfel + 7x Fiecare răspuns greșit este = -5. Răspunsul total greșit este astfel -5y Punct total marcat = 232 Aceasta
înseamnă că; 7x -5y = 232 ••••••••• (ii)
De la i, putem spune y = 40 -x să punem acest lucru în ecuație
ii 7x -5 (40-x) = 232
7x - 200 + 5x = 232
12x = 232 + 200 12x = 432 x = 432/12 x = 36 Deoarece y = 40 - x y = 40 - 36 y = 4
helpp me answer this i will give 15 points if u answer
Answer:
G, the second option
Step-by-step explanation:
A triangle's degrees all adds up to 180.
45 + 60= 105 degrees
180-105= 75 degrees
that in which makes z=75 degrees.
Since z is sharing a straight angle, which is 180 degrees
180-75= 105 degrees.
Therefore, w=105 degrees
next time when you are asking a question, be sure to crop the screen shot because the screen contains some private information that may be used against you! :)
After a certain medicine is ingested, the number of harmful bacteria remaining in the body declines rapidly.
The relationship between the elapsed time t, in minutes, since the medicine is ingested, and the number of
harmful bacteria remaining in the body, Hminute(t), is modeled by the following function:
Со
асс
Hminute(t) = 500,000,000 - (0.2)
Complete the following sentence about the rate of change in the number of harmful bacteria remaining in
the body in seconds.
Round your answer to two decimal places.
Ad
ma
Every second, the number of harmful bacteria remaining in the body decays by a factor of
Every second, the number of harmful bacteria remaining in the body decays by a factor of approximately .
To determine the rate of change in the number of harmful bacteria remaining in the body every second, we need to convert the time in the given function from minutes to seconds. The function provided is
⇒ [tex]H_{minute}[/tex](t) = 500,000,000 · [tex](0.2)^t[/tex].
A minute has 60 seconds, so we need to express the decay factor for a second. By letting t = [tex]t_{seconds}[/tex] ÷ 60, we can rewrite the function in terms of seconds:
⇒ [tex]H_{second}[/tex](t) = 500,000,000 · [tex](0.2)^\frac{t}{60}[/tex].
For every passing second, the decay factor is [tex](0.2)^\frac{1}{60}[/tex]. Using a calculator, we find:
⇒ [tex](0.2)^\frac{1}{60}[/tex] ≈ 0.98855,
rounded to two decimal places.
Therefore, every second, the number of harmful bacteria remaining in the body decays by a factor of approximately 0.99.
Complete question:
After a certain medicine is ingested, the number of harmful bacteria remaining in the body declines rapidly.
The relationship between the elapsed time t, in minutes, since the medicine is ingested, and the number of harmful bacteria remaining in the body, [tex]H_{minute}[/tex](t), is modeled by the following function:
[tex]H_{minute}[/tex](t) = 500,000,000 · [tex](0.2)^t[/tex]
Complete the following sentence about the rate of change in the number of harmful bacteria remaining in the body in seconds.
Round your answer to two decimal places.
Every second, the number of harmful bacteria remaining in the body decays by a factor of .
Add 91, 129,and 16 ,and then divide by 44
Answer:
5.36
Step-by-step explanation:
no no don't touch me there this is my no no square
Final answer:
To find the solution, add 91, 129, and 16 to get a sum of 236. Then divide this sum by 44 to get approximately 5.364.
Explanation:
To solve the given problem, we need to perform two steps: first, add the numbers together; second, divide the sum by 44.
Add 91, 129, and 16 together.
Divide the sum by 44.
We start by adding the numbers:
91 + 129 + 16 = 236
Next, we divide the sum by 44:
236 ÷ 44 = 5.363636...
The division yields a repeated decimal which we can round to a desired decimal place if necessary. In this context, we'll keep it as is or round it to the nearest thousandth, which would be approximately 5.364.
-3/4 divided by 2/-8
the four is not negative
Answer:
The answer is 3.
Step-by-step explanation:
-3/4 divided by 2/-8
take the reciprocal of 2/-8
which is -8/2 then divide
[tex]\frac{-3}{4}[/tex] ÷ [tex]\frac{-8}{2}[/tex]
= 3
-3/4 ÷ 2/-8
solve for x : x + 10=50
Answer: 40
Step-by-step explanation: When you're asked to solve for x in an equation, what you're really being asked to do is get x by itself on one side of the equation.
In this problem since 10 is being added to x, in order to get x by itself, we must subtract 10 from the left side of the equation and when we subtract 10 from the left side of the equation, remember that we must also subtract 10 from the right side of the equation.
So on the left, 10 - 10 cancels out and
on the right, 50 - 10 simplifies to 40.
So x = 40.
Answer:
x = 40
Step-by-step explanation:
To solve for x, we must get it by itself. To do this, we have to subtract 10 from the left and right side of the equation.
Equation: x + 10 - (10) = 50 - (10)
This will cancel out the 10 on the left side (as 10 - 10 = 0) of the equation and leave you with the answer, x = 40.
20 points
One pump can fill a tank of water in 4 hours. A second tank can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?
7/12 hours
3/4 hours
12/7 hours
4/3 hours
Final answer:
Two pumps working together will fill a tank in 12/7 hours, calculated by adding their rates of filling the tank and taking the inverse of the sum.
Explanation:
When two pumps are used together to fill a tank, the time it takes can be found by adding their rates of work and then finding the inverse of the sum. The first pump can fill the tank in 4 hours, which means its rate is 1/4 of the tank per hour. The second pump can fill the same tank in 3 hours, implying a rate of 1/3 of the tank per hour. When both pumps work together, their combined rate is (1/4 + 1/3) = (3/12 + 4/12) = 7/12 of the tank per hour.
To find the time taken to fill the tank jointly, we take the inverse of the combined rate: 1 / (7/12), which equals 12/7 hours. Therefore, using both pumps together, it will take 12/7 hours to fill the tank.
What is the slope of the line through (-1,4) and (1,-2)
Answer:
-3
Step-by-step explanation:
Slope = change of x over change of y
6 over 2
3
line goes down so slope is negative
-3
The slope of the line passing through the given points (-1, 4) and (1, -2) is -3.
Given the following points:
Points on the x-axis = (-1, 1)Points on the y-axis = (4, -2)To find the slope of the line passing through the given points (-1, 4) and (1, -2):
The slope of a line is simply the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.
Mathematically, the slope of a line is given by the following formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the given points into the formula, we have;
[tex]Slope. \;m = \frac{-2 \;- \;4}{1\; - \;[-1]}\\\\Slope. \;m = \frac{-6}{2}[/tex]
Slope, m = -3
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What is 132x561+61-126=?
Answer:
The answer is 73,987 :)
Here is a typed out explanation.
The probability of 6 beads which 3 are white and a randomly selected bead will be white
I believe the answer is 2..
A university surveyed its students on their opinions of campus housing. The following two-way table displays data for the sample of
200 students who responded to the survey.
Of students in the sample, 90/200 fraction of the students were male.
Number of male students =90
Number of female students =110
So, total students = 90+110 =200
What is a fraction?A fraction is a rational number that is not a whole number.
Fraction of students who were male = male students/ total students
Fraction of students who were male =90/200
So, 90/200 fraction of the students were male.
Hence, 90/200 fraction of the students were male.
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The marked price of a sweater at the clothing store was $24. During a sale, a discount of 25 percent was given. A further 15 percent discount was given to the customers who have the stores credit card. How much would a member customer need to pay for the sweater during the sale if the customer paid the stores credit card? Round your answer to the nearest cent.
A member customer need to pay for the sweater during the sale if the customer paid the stores credit card is $ 15.30.
What is credit card?Credit card is defined as a kind of credit product offered by banks that enables users to take out loans up to a pre-approved credit limit. Earn benefits like cashback or mileage points. security from credit card theft. Free credit score information. Absence of foreign transaction costs increased capacity to spend.
Costumer is defined as a person or organization that acquires goods or services from another corporation. Positive customer experiences are extremely important for brand awareness because they frequently result in word-of-mouth promotion.
Given the market price = $24
The percent initial discount = 25%
The percent final discount = 15%
The customer paid the stores credit card
= 24 x 0.75 = 18
= 18 x 0.85 = 15.3
Thus, a member customer need to pay for the sweater during the sale if the customer paid the stores credit card is $ 15.30.
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You are ordering pencils from Amazon for $3.50 each. Shipping costs an additional $2.99. This situation can be represented with the equation y = 3.5x + 2.99 What does each part of the equation represent in the situation (y = ?, 3.5 = ?, x = ?, 2.99 = ?)
Answer:
Y=total cost of purchasing the pencils
Step-by-step explanation:
Y=3.5x+2.99
Where,
Y=total cost of purchasing the pencils
3.5=price of each pencil
X= number of pencils bought
2.99= shipping cost
For instance, if you order for 5 pencils on Amazon, the total cost of purchasing it is
Y=$3.50(5)+$2.99
Y=$17.50+$2.99
Y=$20.49