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What is the volume of this figure?
Enter your answer in the box.
ft³
4
3 ft
5 ft
6 ft
7 ft
2 ft
The volume of the solid figure is 75 ft³
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The volume of a figure is the amount of space it occupies in its three dimensional state.
To get the surface area:
Area of base = (6 ft * 2 ft) + (7 - 6)ft * 3 ft = 15 ft²
Volume of figure = area of base * height = 15 ft² * 5 ft = 75 ft³
The volume of the figure is 75 ft³
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Jessica wants to make a ramp using a board so that she can ride her bike onto the front porch. The ramp must reach from the ground to the floor of the porch, which is 212
ft above the ground. Jessica has decided that the ramp cannot have an incline of more than 35°.
What length board should Jessica buy if she uses the maximum angle of incline?
Enter your answer in the box. Round only your final answer to the nearest tenth
Length of board should Jessica buy is 4.4 feets.
Step-by-step explanation:
Height of the ramp =
Distance of the porch from the ground = x
Inclination of the ramp,θ = 35°
In triangle ABC,
AB =
AC = x
θ = 35°
According trigonometric ratios:
Length of board should Jessica buy is 4.4 feets.
There are 40 boxes of lamps in the storage room. Twenty-four of the boxes contain green lamps. What percent of the boxes contain green lamps? A. 25% B. 50% C. 60% D. 75%
The percentage of boxes with green lamps is 60%, the correct option is C.
We are given that;
Number of boxes= 40
Green lamp boxes= 24
Now,
To calculate the percentage of boxes that contain green lamps, you need to divide the number of boxes with green lamps by the total number of boxes and then multiply by 100. This is according to the formula for finding a percentage of a number12.
=(24 / 40) x 100 = 60%
Therefore, by percentage the answer will be 60%.
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Cindy has a new job offer but will need a new car for the job. After planning a budget, they determine that they can afford to pay at most $215 per month for a 6-year car loan. If an annual percentage rate of 2.1% is available to finance the car loan, calculate the value of the most expensive car loan that Cindy can afford. Round to the nearest whole
number
The value of the most expensive car loan that Cindy can afford is $13,712
We are given that;
Amount= $215
Percentage= 2.1%
PMT = 215 i = 0.021 / 12 = 0.00175 (the annual interest rate divided by 12 months) n = 6 × 12 = 72 (the number of months in 6 years)
Now,
The formula for the present value of an annuity is:
PV = PMT × (1 - 1/(1 + i)^n) / i
where:
PV = present value PMT = payment amount i = interest rate per period n = number of periods
Plugging these values into the formula, we get:
PV = 215 × (1 - 1/(1 + 0.00175)^72) / 0.00175 PV = 215 × (1 - 0.888) / 0.00175 PV = 215 × 0.112 / 0.00175 PV = 13,712
Therefore, by the percentage the answer will be $13,712.
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Solve for circle theorem
The requried measure of the angles is given as:
(1) ∠OLQ = 32, (2) ∠NQP = 38°, (3) ∠NLP = 38°, and (4) ∠NPL = 52°.
As shown in the figure,
(1) Following the property of angle subtended by an arc on the center of the circle and at a point on the circumference of a circle,
∠OLQ = ∠OQL = 64/2 = 32°.
(2)
Following the figure,
∠NQP = ∠LQP - ∠LQN
= ∠LQP-[∠OQL+∠MQN]
= 90 - [32+20]
= 38°
Similarly,
∠NLP = 38°
∠NPL = 52°
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what does it mean by "the quantity" in a scatter plot
Answer:
how many or how much or what is the amount
Step-by-step explanation:
quantity means
the amount or number of a material or immaterial thing not usually estimated by spatial measurement.
if I were to ask you " How many apples are in that bag" Im basically asking what is the quantity of apples in that bag. So, in scatter plots it's asking you, how many points are on this graph of scatter points
Solve the equation.
22
= 6
2 =
Please help me i need the answer and im so confused just tell me if its a b c or d please
Answer:
The answer would be option A
Step-by-step explanation:
-14 times 8=-122
Jerry had 35 big stickers and 20 small stickers at first. He exchanged 10 small stickers for 5 big stickers. What percentage of his sticker are big stickers in the end?
(1) 10% (2) 20% (3) 40% (4) 80%
Answer:
80%
Step-by-step explanation:
After all the trade he got 50 stickers
40 Big
10 small
50 stickers is 100%
40B stickers is ??
WE multiply 40 by 100 then divide by 50
so 80%
A jelly bean is selected at random from ajar and is not returned. The jar contains 8 red, 2 green, 4 blue, and 7 pink, jelly beans. Which is the probability of selecting a ed jelly bean on the first draw and a blue jelly bean on the second draw?
Answer:
There would be a 38% or 8/21 probability of picking a red jelly bean on the first draw and a 20% or 4/20 probability of picking a blue jelly bean on the second.
Step-by-step explanation:
There are 21 jelly beans in total. So on the first draw, there is an 8/21 chance you will get a red jelly bean. If you turn this fraction into a percentage, it is 38%.
Now that a jelly bean is missing, there are 20 jelly beans. There are four blue ones still, so there is a 4/20 chance of getting a blue jelly bean. Turning this ratio into a percent gets you 20%.
I would love a brainliest. I haven't had one yet and it would make my day. Hope this helped you!
The probability of selecting a red jelly bean on the first draw and a blue jelly bean on the second draw is 32/441.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
The jar contains 8 red, 2 green, 4 blue, and 7 pink, jelly beans.
total beans = 8 + 2 + 4 + 7 = 21
So, the probability of selecting a red jelly bean on the first draw and a blue jelly bean on the second draw
= 8/21 x 4 / 21
= 32 /441
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Sum of vectors a+b pick one of answer choices
Answer:
< - 1, 5 >
Step-by-step explanation:
a = < - 5, 2 >
b = < 4, 3 >
a + b
= < - 5, 2 > + < 4, 3 >
add corresponding elements
= < - 5 + 4, 2 + 3 >
= < - 1, 5 >
Victoria wants to figure out if she can run faster than
an elephant. She reads that an elephant can run 100
yards in 20 seconds. She knows she can run 60 feet in
10 seconds. Victoria says, "Since 60/10 = 6 and 100/20 = 5,
my speed is faster than an elephant's!" Does her
statement make sense? Explain why or why not.
20
Answer and explanation:
Victoria's statement that her running speed is faster an elephant's does not make sense because it is based on the comparison of unlike units of measurement.
How the above conclusion is reached:Elephant's running speed = 100 yards in 20 seconds
= 5 yards per second (100 ÷ 20)
Units of Measurement:1 yard = 3 feet
5 yards = 15 feet (5 x 3)
The elephant's running speed = 15 feet per second.
Victoria's running speed = 60 feet in 10 seconds
= 6 feet per second (60 ÷ 10)
Thus, we conclude that the elephant's running speed is 15 feet per second, while Victoria does 6 feet per second, making her claim untrue.
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Sarah's bird feeder holds 1/2 of a cup of birdseed. Sarah is filling the bird feeder with a scoop that holds 1/4 of a cup. How many scoops of birdseed will Sarah put into the feeder?
The number of scoops of birdseed Sarah puts in the feeder n = 2
Given data ,
Let the number of scoops of birdseed Sarah puts in the feeder be n
While utilizing a scoop that can contain 1/4 cup of birdseed, Sarah's bird feeder holds 1/2 cup of birdseed. We must divide the capacity of the bird feeder by the capacity of the scoop to determine how many scoops Sarah will add to the feeder.
On simplifying the equation , we get
1/2 ÷ 1/4 = n
n = 1/2 x 4/1
n = 4/2
n = 2 scoops
Hence , the equation is solved and n = 2
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Lisa is putting colored 11 light bulbs into a string of lights. There are 3 red light bulbs, 2 yellow light bulbs, and 6 pink light bulbs. How many distinct orders of light bulbs are there if two light bulbs of the same color are considered identical (not distinct)?
The distinct orders of light bulbs are there if two light bulbs of the same color are considered identical = 4,620
Here, the total number of bulbs = 11
The number of red light bulbs = 3
The number of yellow light bulbs = 2
and the number of pink light bulbs = 6
We know that the formula for the permutation with repetition is:
n! / (n1! × n2! x ... × nk!)
We use this formula to find the required number of light bulbs.
Here, two light bulbs of the same color are considered identical
We divide by 3! in order to adjust for overcounting, because we have 3 red light bulbs.
simmilarly for the 2 yellow light bulbs, we divide with 2!.
and for the 6 pink light bulbs, we divide by 6!
Thus, the total number of distinct orders of bulbs will be:
11! / (3! × 2! × 6!) = 4,620
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what two numbers multiply to 48 and add to -7?
Thus the numbers that we are looking for are 8 and -6.
What are the numbers?We would have to use a method in which we would call the numbers that we want to find x and y.
We know that we have to solve the problem as a simultaneous equation so that we can be able to obtain the numbers that we seek.
If
xy = -48 ---(1)
x + y =2 --- (2)
y = -48/x ---(3)
Substitute (3) into (2)
x - 48/x = 2
x^2 - 48 = 2x
x^2 -2x - 48 = 0
x = 8 and x = -6
Thus;
8 + y = 2
y = -6
Or
-6 + y = 2
y = 8
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Missing parts:
What numbers multiply to -48 and add to 2 at the same time
What is the range of the function f(x) = |x| + 5?
R: {f(x) ∈ ℝ | f(x) < 5}
R: {f(x) ∈ ℝ | f(x) ≥ 5}
R: {f(x) ∈ ℝ | f(x) > 5}
R: {f(x) ∈ ℝ | f(x) ≤ 5}
The range of the function f(x) = |x| + 5 include the following; B. R: {f(x) ∈ ℝ | f(x) ≥ 5}.
What is a domain?In Mathematics and Geometry, a domain is the set of all real numbers for which a particular function is defined.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = {-∞, ∞} or -∞ ≤ x ≤ ∞.
Range = {5, ∞} or 5 ≤ f(x) ≤ ∞.
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In the figure to the right, you are given a square ABCD. Each of its sides is divided into two segments, such that AE = BF = CG = DH. Prove that quadrilateral EFGH is a square.
First to answer gets brainliest
Answer:proving that EFGH is a square: points E,F,G,H
separate the sides of the square ABCD into two lines. if AE=BF=CG=DH then
AH=DG=EB=FC and it shows that if we connect the points E,F,G,H to each other with line we will have a square
HAE~EBF~FCG
Some easy math i totally cant solve it
Answer:
correct answer is D
Step-by-step explanation:
The equation of a line is y= -2/7x + 3/7. What is the slope of a line perpendicular to this line?
The slope of the line perpendicular to the line is m = ( 7/2 )
Given data ,
The equation of the given line is y = -2/7x + 3/7.
Now , it is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
The slope of the given line is -2/7, which means that for any line perpendicular to this line, the slope would be the negative reciprocal of -2/7.
So , m = ( 7/2 )
Hence , the slope of the perpendicular line is = 7/2
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Carl went grocery shopping. He weighed his apples and they have a mass of 2450g. He measured the mass of the pineapple and found it was 3547g. How much more mass does the pineapple have?
The pineapple has 1097g more mass than the apples.
We have,
The difference between two values is the result of subtracting one value from the other.
In this case, we want to find the difference between the mass of the pineapple and the mass of the apples.
To do this, we subtract the mass of the apples from the mass of the pineapple.
The equation for this is:
Pineapple mass - Apple mass = Difference
Substituting the given values:
3547g - 2450g = 1097g
Therefore,
The pineapple has 1097g more mass than the apples.
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LINES AND ANGLES
Circle the correct answer to each of the following questions. Show your work, if necessary.
1 Which of the following objects is two-dimensional?
a. a pair of dice
b. a basketball
C
tree
d. a circle
PLEASE HELP ME SOLVE THIS!!!!
The meaning of the absolute value of -5.5 is given as follows:
The temperature decreases 5.5 degrees.
What is the absolute value of a number?The absolute value of a number is the number without the signal, for example:
|-2| = |2| = 2.
The number in this problem is given as follows:
-5.5.
Hence:
The negative sign means that the temperature decreased.The absolute value of 5.5 means that the temperature decreased by 5.5 degrees.Hence the second option is the correct option in the context of this problem.
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It's a beautiful fall day! Mari and her friends decide to have a picnic in the park. Each friend is bringing something to eat or drink. Mari is bringing watermelon. Before she leaves her house, Mari cuts a watermelon into 16 equal pieces. At the picnic, she eats 3 pieces of watermelon.What fraction of the watermelon does Mari eat?
Find the surface area of the cylinder in terms of Pi. The diameter is 14 cm and the height is 18 cm
The surface area of the cylinder in terms of pi is:
S = pi*301 cm²
how to find the surface?We know that for a cylinder of radius R and height H the surface area is:
S = pi*( 2RH + R²)
Here the height is 18 cm and the diameter is 14cm, then the radius is.
R = 14cm/2 = 7cm
Then the surface area will be:
S = pi*(2*7cm*18cm + (7cm)*7cm)
S = pi*301 cm²
That is the surface area in terms of pi.
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solve. y=2x^2+8 for the axis of symmetry and the vertex
What is 2x-5y=9 in slope intercept form?
For questions 11-12, divide. Use synthetic division, if possible.
11. (x² +6x²-x² - 5x+1)+(x-2)
12. (x³ +9x² -5x +11)+(x² + 2)
Question 11 seems to have strange typos in it. Please double-check to make sure it has been typed correctly.
I'm not sure how to answer that one.
----------
I'll focus on Question 12.
The long division scratch work is shown in the image attachment below.
The answer to problem 12 is x+9 remainder -7x-7
Please let me know if you have questions about any step of the polynomial long division process.
Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
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Select the correct answer. Which statement correctly describes this expression? |X^3| +5 A. the absolute value of three times a number added to 5 B. the cube of the sum of a number and 5 C. 5 more than the absolute value of the cube of a number D. the sum of the absolute value of three times a number and 5
The statement that correctly describes the expression |x^3|+5 is 5 more than the absolute value of the cube of a number.
Given this expression: |x^3|+5
| | = This sign means Absolute value,
x^3 = x³ = x × x × x
Hence, the statement that correctly describes the expression |x^3|+5 is : 5 more than the absolute value of the cube of a number.
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If two angles are complementary then the sum of their measures is _______.
(Answer with a number ONLY)
If the two angles are complementary, then their sum is 90 degrees.
The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
If the two angles are complementary, then their sum is 90 degrees.
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