Answer:
Hence, the height of the trapezoidal base is 7.2 ft.
Step-by-step explanation:
The height of the trapezoidal base is 7.2 ft.
Step-by-step explanation:
Consider the provided information.
The volume of trapezoidal prism is the area of the cross-section × the length.
Where B is the area of base, H is the length and V is the volume.
The length of the prism is 25.2ft and volume is 1279.152
Hence, the base area is 50.76 ft².
The base is trapezoid.
The area of trapezoid is
Substitute B=50.76, in above formula.
Hence, the height of the trapezoidal base is 7.2 ft.
7. The graph shows the height, h, in feet, of water
sprayed from a fountain as a function of the
horizontal distance, d, in feet, the water has
traveled.
Water Fountain
h
3
69 12 15
Horizontal Distance (ft)
What is the domain of the function described in the
graph?
OA. All whole numbers less than or equal to 16
OB. All non-negative real numbers less than or
equal to 18
OC. All non-negative real numbers less than or
equal to 16
OD. All whole numbers less than or equal to 18
Height (ft)
20
16
12
18
The domain is talking about the "range" of the horizontal axis therefore you will be focusing on the x-intercepts.
The answer will be All non-negative real numbers less than or equal to 18
because the x-intercepts lies at 0 and 18. The answer makes sense because the furthest you can go is 18 ft and the closest you could go is 0 ft. The "all non-negative real numbers" puts a restriction on the least distance it could travel so that means that it stops at 0 ft because if you go any further, you will end up in the negatives and it clearly states "non-negative".
If a soccer team made 34 penalty shots out of 100, what fraction and what
percentage of penalty shots did the team miss?
O A.
34
100
I B. 66%
O
C.
66
100
D. 34%
E.
70
100
F. 0.34%
Answer:
66% Missed (Percentage Form)
66/100 Missed (Fraction Form)
Step-by-step explanation:
100-34 = 66
66/100 Shots missed
66/100 to percentage is 66%
66% shots have been missed.
select the correct answer.
What is the value of this expression when c= -4 and d = 10?
1(3+2)
ОА.
2
ОВ.
B. 9
C. 21
D 41
Hey there!
To answer this question you have to plug in your values and do PEMDAS.
PEMDAS simply means
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
WE CAN ANSWER THE EQUATION
1/4(c^3 + d^2)
= 1/4(-4^3 + 10^2)
= 1/4(-64 + 100)
= 1/4(-64) + 1/4(100)
= -16 + 25
= 9
OR
1/4(c^3 + d^2)
= 1/4(-4^3 + 10^2)
= 1/4(36)
= 9
Therefore, your answer is: 9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
48×92 what the answer
Help pls i need this today
:>
!!!
Answer:
c is the correct one
Step-by-step explanation:
6/8 = 0.75 > 4/8 = 0.5
Which expressions are equivalent to the given expression?
√40
O 1602
0 401
2√10
0 5√8
☐ 4√10
[tex]2\sqrt{10}[/tex] is equivalent to the expression [tex]\sqrt{40}[/tex]
entire to mixed radical:
[tex]\sqrt{40} \\\sqrt{4\ x\ 10} \\2\sqrt{10}[/tex]
decimal value:
[tex]2\sqrt{10}=6.32....\\\sqrt{40}=6.32...[/tex]
12. Linda walks through a road. If her walking speed increases from 1 m/s to 1.5 m/s, she will complete the walk 200 s earlier. Find the distance travelled by Linda.
Answer:
600 meters
Step-by-step explanation:
Case 1 : Speed of 1 m/s
d = v * td = 1 * td = t [Equation 1]Case 2 : Speed of 1.5 m/s
d = v * td = 1.5 * (t - 200)d = 1.5t - 300 [Equation 2]As distance in both cases is the same, equate the values of d from both equations.
t = 1.5t - 3000.5t = 300t = 300 * 2t = 600 sNow, put the value of t in Equation 1 to find d.
d = 600 meters23. Gheri is n years old. Carl is 6 years younger than Gheri and 2 years older than Jean. What is the sum of the ages of all three?
13, 15, 17, x, 20, 21; The median is 18.
To find the median
⇒ must define what is a median
⇒Definition of median: middle number of an ordered set
Lets look at the information given
Set when ordered: 13,15, 17,x,20,21 with median of 18
⇒ In this case, there is an even number of numbers
⇒ to find the median
⇒ must find average of two numbers closest to the middle
⇒ which are 'x' and '17' which is equal to the given median 18
Let's set up the equation:
[tex]\frac{x+17}{2} =18\\x+17=36\\x=19[/tex]
Answer: x = 19
Hope that helps!
Can anyone answer the first one please?
Answer:
about 11.99 inches
Step-by-step explanation:
Using the formula for the volume of a right circular cylinder:
[tex]\pi {(4.5}^{2} )h = 763[/tex]
[tex]h = 11.994[/tex]
2 ≤ -1t Find variable of t
Please show your work
Answer:
t≤. -2
Step-by-step explanation:
2≤ -t
Dividing both sides by -1,
The sign flips over,
2/-1 ≥ -t/-1
-2≥t
t≤-2
Julia's car used 1/100 of a gallon to travel 0.25 miles. How many miles can the car go on one gallon of gas? On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, whole numbers, or decimals. miles 0 gallons Enter your final answer as a whole number or decimal.
Answer:
25 miles
Step-by-step explanation:
well
1/100 = 0.25
10/100 = 2.5 (Because 0.25 x 10)
100/100 = 25 (Because 0.25x100)
Harold is a woodworker and is interested in finding the density of two different types of wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds. He also has an oak board that is 5.5 inches wide, 1.5 inches thick and 3 feet long. The board weighs approximately 8.05 pounds.
Part A
Which shapes can you use to model the log and the board?
Answer:
log = cylinder
board = rectangular prism
Step-by-step explanation:
The log has a radius of 5 in and a length of 30 in.
This implies that the cross-section is a circle, and so it can be modeled as a cylinder.
The board has a width of 5.5 in, a height of 1.5 in and a length of 3ft.
Therefore, it can be modeled as a rectangular prism.
A circular pizza has a diameter of 18 inches and is cut into 12 congruent slices. What is the area of each slice, to the nearest tenth?
Group of answer choices
9.8 straight pi inches squared
1.5 straight pi inches squared
6.8 straight pi inches squared
27.3 straight pi inches squared
Answer:
6.8
Step-by-step explanation:
4) The black square is a dilation of the blue square. What is the scale factor of the dilation?
A) 1/4
B) 1/3
C) 3
D) 4
Which linear inequality represents the solution set graphed?
Answer:
it's A
Step-by-step explanation:
I dId this in 6 grade I hope this help
A number is multiplied by 20, and that product is added to 5. The sum is equal to the product of 5 and 13.
Answer:
x = 3
Step-by-step explanation:
First, you will pick the first equation :
(x*20)
Then the next,
(x*20) + 5
Then the last equation,
(x*20) + 5 = 5*13
Then you solve
20x + 5 = 65
20x = 65 - 5
20x = 60
20x/20 = 60/20
x = 3
write the following ratio as a fraction in lowest terms
5/3to7/6
10/7
hope it helps...!!!
helpp!!!
A package of balloons contains 4 red, 6 blue, 3 yellow, and 5 orange balloons. Javier will randomly choose one balloon from the package to blow up. He then will randomly choose a second balloon to blow up. What is the probability that Javier chooses an orange balloon and then a yellow balloon?
A 5/108
В. 5/ 102
с. 1/15
D. 1/6
e. 4/9
Answer:
in my opinion the answer is 78
Step-by-step explanation:
you divide all of them then add akll tof them simple
Please Help !!!
Serena took two numbers which may or may not be integers, rounded
each of them up to the nearest integer, multiplied the results, and
got 100. When she took the original numbers, rounded each of them
down to the nearest integer and multiplied the results, she got X.
Find the largest possible value of X.
( The Answer is 202, please give a step by step solution)
Thank You
Recall (or "define", if you're not familiar) the so-called ceiling and floor functions, or least/greatest integer functions, respectively; for any integer n,
• ceiling function:
[tex]\lceil x \rceil = n \text{ if } n-1 < x \le n[/tex]
• floor function:
[tex]\lfloor x \rfloor = n \text{ if } n \le x < n+1[/tex]
Let x and y be the two numbers Serena picks. She finds that
[tex]\lceil x \rceil \lceil y \rceil = 100[/tex]
[tex]\lfloor x \rfloor \lfloor y \rfloor = X[/tex]
Assume x and y are not integers. Let m and n be two integers such that m - 1 < x < m and n - 1 < y < n. Then
[tex]\lceil x \rceil \lceil y \rceil = mn = 100[/tex]
so m and n are divisors of 100. There's a finite number of distinct divisor pairs (m, n) to consider,
(± 1, ± 100), (± 2, ± 50), (± 4, ± 25), (± 5, ± 5)
whose sums can be one of
± 101, ± 99, ± 52, ± 48, ± 29, ± 21, ± 10, 0
Similarly,
[tex]\lfloor x \rfloor \lfloor y \rfloor = (m-1)(n-1) = 101 - (m + n) = X[/tex]
which is maximized if the sum m + n is negative; the largest of these is m + n = -101, so the maximum value of X is 101 + 101 = 202.
The reasoning for the case of either x or y, or both, being integers is nearly identical.
graphs of what functions? HELP PLSS
Answer:
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Explanation
I hope help you and thanks for heart and rate my answer
can someone help with this?
Find the most important variable in the problem. How long does it take to drive 341 miles at 63 miles per hour? A. The rate of travel B. The time it takes to complete the trip C. The total distance of the trip
The time it takes to complete the trip
if m<1=2x+2 and m<2=9x, find m<1
Answer:
18/7
Step-by-step explanation:
Since m<2 includes 1, m<2 = m<1
9x = 2x + 2 ⇒ 7x = 2 ⇒ x = 2/7
m<1 = 2(2/7) + 2 = 4/7 + 14/7 = 18/7
A tree in Kira's backyard is 1/4 meters tall. It has been growing for 2 4/5 years.
What is the unit rate in meters per year?
Answer:
0.0893 meters per year
Step-by-step explanation:
1/4 is 0.252 4/5 is 2.8divide height by year to get height gain per year0.25/2.8 = 0. 0893 (to 3 SF)find three consecutive positive integers such that the product of the first and the third integer os 29 more than the second
Answer:
5, 6, 7
Step-by-step explanation:
let the 3 consecutive integers be n , n + 1 , n + 2 , then
n(n + 2) = n+ 1 + 29
n² + 2n = n + 30 ( subtract n + 30 from both sides )
n² + n - 30 = 0 ← in standard form
(n + 6)(n - 5) = 0 ← in factored form
equate each factor to zero and solve for n
n + 6 = 0 ⇒ n = - 6
n - 5 = 0 ⇒ n = 5
n > 0 , then n = 5
the 3 integers are 5, 5 + 1, 5 + 2 , that is
5, 6, 7
#5. Which equation represents the linear function shown in the table? *
х: 2, 4, 6
у: -1, -5, -9
O y = -2x + 3
O y = 2x + 3
O y = -3x + 2
O y = 3x - 2
#5. Which equation represents the linear function shown in the table? *
х: 2, 4, 6
у: -1, -5, -9
O y = -2x + 3 ✓ putting the value of x as 2 & y as -1⇢-1 = -2 x 2 +3
⇢-1 = -4+3
⇢-1 =-1 ✓
putting the value of x as 4 & y as -5⇢-5 = -2 x 4 +3
⇢-5 = -8 +3
⇢-5 = -5 ✓
putting the value of x as 6 and y as -9⇢ -9 = -2 x 6 +3
⇢ -9 = -12 +3
⇢ -9 = -9 ✓
O y = 2x + 3
O y = -3x + 2
O y = 3x - 2
The solution is, O y = -2x + 3, represents the linear function shown in the table.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
let the equation be y = -2x + 3.
putting the value of x as 2 & y as -1
⇢-1 = -2 x 2 +3
⇢-1 = -4+3
⇢-1 =-1 ✓
putting the value of x as 4 & y as -5
⇢-5 = -2 x 4 +3
⇢-5 = -8 +3
⇢-5 = -5 ✓
putting the value of x as 6 and y as -9
⇢ -9 = -2 x 6 +3
⇢ -9 = -12 +3
⇢ -9 = -9 ✓
we get, that this satisfies the conditions,
so, we have, O y = -2x + 3
Hence, The solution is, O y = -2x + 3, represents the linear function shown in the table.
To learn more on function click:
brainly.com/question/21145944
#SPJ7
The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter. Two cells are measured using this method: Cell E: 8.39 x 10-² centimeters Cell F: 6.01 x 10-3 centimeters What's the difference between the diameters of the two cells? Express your answer using either standard notation or scientific notation.
Answer:
7.789×10^-2 = 0.07789 cm
Step-by-step explanation:
Your calculator can find the difference of the two given diameters and express it in any format you like.
The attached image of a calculator display shows the difference of the cell diameters is 0.07789 = 7.789×10^-2 cm.
__
The difference of two numbers with different exponents is found by first adjusting the exponents so they are the same. Here, we choose to adjust both numbers so they have the highest exponent value.
8.83×10^-2 - 6.01×10^-3
= 8.39×10^-2 - 0.601×10^-2 = (8.39 -0.601)×10^-2 = 7.789×10^-2
Alternatively, you can convert both numbers to standard form and do the subtraction that way.
8.83×10^-2 - 6.01×10^-3
= 0.0883 -0.00601 = 0.07789
_____
Additional comment
The second attachment shows the relationship between place values and their multiplier in scientific notation.
__
The choice of exponent when computing the sum or difference of numbers in scientific notation is usefully informed by an estimate of the value of the sum or difference. A proper choice can avoid the need to adjust the exponent of the result of the operation. Here, we see the subtraction will change the larger value by less than 10%, so the exponent of the result in scientific notation will be that of the larger value (-2).
your parents bought a boat for $60,000. The boat depreciate by 9.3% each yea. When will the boat be worth less than $10,000?
Manuel Labore earns $19.50 / hr. and works an average of 38 hours a week. He is considering to renting a house for $1,700 / month. His real estate friend recommends he spends no more than 28% of his monthly income in housing.
A) What is 28% of Manuel’s monthly income?
B) Can he afford the home
Answer:
see below
Step-by-step explanation:
assuming 4 weeks in a month
$19.50 * 38 * 4 = $ 2964 per month
.28 * 2964 = 829.92
He really cannot afford this rent......
Answer:
A. $829.92 B. No
Step-by-step explanation:
A. 38 hours time $19.50 = $741 per week; Monthly: $741 x 4 = $2,964.00
28% of monthy income = .28 x $2,964.00 = $829.94
B. No, he can not afford the home. Cost of the home is $1, 700.00
( No more than 28%) well 28% of $2,964 = $829.94