Answers
1. A. 2/3 of the volume of the rectangular prism crate = 5.7 ft³
B. Amount of space the dog will occupy is: 2.55 ft³. Josiah should buy the medium crate.
2. 21.05 ft²
What is the Volume of a Rectangular Prism?The volume of a rectangular prism = (length)(width)(height).
1. Part A:
Length of the rectangular prism crate = 2.5 ft
Width = 1.7 ft
Height = 2 ft
Volume of the rectangular prism crate = (2.5)(1.7)(2)
Volume of the rectangular prism crate = 8.5 ft³
2/3 of the volume of the rectangular prism crate = 2/3(8.5) = 5.7 ft³
Part B:
Amount of space the dog will occupy = volume = (length)(width)(height).
Length = 2 ft
Height = 1 2/3 = 1.7 ft
Width = 3/4 = 0.75 ft
Amount of space the dog will occupy = volume = (2)(0.75)(1.7)
Amount of space the dog will occupy = volume = 2.55 ft³
The space the dog will occupy is less than 2/3 of the space of the crate, therefore, Josiah should buy the medium crate.
2. Amount of fabric needed to cover the crate = surface area of rectangular prism - (lw) = 2·(1.7·2.5+2·2.5+2·1.7) - (2.5)(1.7)
= 25.3 - 4.25
= 21.05 ft²
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Related Questions
I am a number when increased by 3 , I become 15. Who am I?
Answers
Answer: Is 86 your welcome have a nice labor day
Step-by-step explanation:
If you have the x and y components of a vector, which trigonometry function can you use to determine its angle relative to the x-axis?.
Answers
If we have the x and y components of a vector, the trigonometry function that can be used to determine its angle relative to the x-axis is cosine function.
For given question,
Let α be an angle between vector a and vector b.
The angles between two vectors is given by,
cos(α) = [tex]\frac{\vec a . \vec b}{|\vec a | | \vec b|}[/tex]
The x component of vector is usually denoted by [tex]\vec i[/tex]
Let vector be [tex]x\vec i + y\vec j[/tex]
Let [tex]\vec a=\vec i, ~ \vec b=x\vec i + y\vec j[/tex]
[tex]\vec a . \vec b=x[/tex]
[tex]|\vec a|=1[/tex]
[tex]|\vec b|=\sqrt{x^2+y^2}[/tex]
So, the angle between the vector and x-axis is [tex]cos^{-1}(\frac{x}{\sqrt{x^2+y^2} } )[/tex]
Therefore, if we have the x and y components of a vector, the trigonometry function that can be used to determine its angle relative to the x-axis is cosine function.
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Problem B: Mr. Zoetz placed red, blue, and yellow gumballs in his gumball machine. • He placed 253 yellow gumballs in the gumball machine. He placed 98 more yellow gumballs than red gumballs in the gumball machine • He placed 27 fewer blue gumballs than red gumballs in the gumball machine. How many gumballs did Mr. Zoetz place in the gumball machine?
Answers
He placed 479 gumballs in the gumball machine.
We are given that Zoetz placed red, blue, and yellow gumballs in his gumball machine.
Now in the gumball machine, we are given that he:
He has placed 253 yellow gumballs.
Now, we are given an expression that the number of red gumballs is 98 less than the yellow ones.
Number of red gumballs = 253 - 98 = 155 gumballs.
Also, another expression says that blue gumballs are 27 less than the red ones.
Number of blue gumballs = 155 - 27 = 128 gumballs.
Total gumballs = 253 + 98 + 128 = 479 gumballs.
Therefore, he placed 479 gumballs in the gumball machine.
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ASAP PLS I NEED IT AND TY
Answers
Answer:
2
Step-by-step explanation:
to solve this equation you must find what you multiply A to to equal A'
you can solve this by dividing 18 by 9
18 / 9 = 2
that is your answer
Simply completely:
5y(xy^3)^2
Answers
Answer:
5y^7x^2
Step-by-step explanation:
5y (xy^3)^2
apply product rule: xy^3
5y(x^2(y ^3)^2)
multiply exponents: (y^3)^2
5y(x^2y^6)
Add exponents: y and y^6
5y^7x^2
PLEASE HELP FAST!!
Select true or false:
The function -3(x + 2)(x - 5)³ > 0, when x < -2 or x > 5.
O True
O False
Answers
Answer:
false
Step-by-step explanation:
What is the graph of y = -3/4x – 2?
Answers
In the graph of y = -3/4x – 2 is represent linear equation.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.The graph is represent a linear equation .
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Damian is making dumplings. If he uses 1/2
cup of dough for each dumpling, how many cups of dough does Damian need to make 16 dumplings? Express your answer in simplest form.
Answers
Answer:
8 cups
Step-by-step explanation:
Amount of cups of dough for each dumpling × Number of dumplings = Number of cups of dough
1/2 × 16 = 8
8 is the simplest form; cannot be simplified.
Hope this helps! ^^
A random sample of 95 seniors are asked whether they plan to attend Homecoming. Of these, 88 seniors said they will attend. What is the margin of error at 90% confidence and it’s interpretation?
A. 0.053; 90% of the time we will capture the true proportion of seniors who will attend homecoming within 0.053 of the population proportion.
B. 0.044; 90% of the time we will capture the true proportion of seniors who will attend homecoming within 0.044 of the population proportion.
C. 0.044; we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion
D. 0.053; we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.053 of the sample proportion
Answers
Option C: At margin of error of 0.44, we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion.
What is the confidence Interval?
The formula for confidence interval of proportions is;
CI = p^ ± z√((p^(1 - p^)/n)
where;
CI is confidence interval
p^ is sample proportion
z is test statistic at confidence level
n is sample size
We are given;
n = 95
x = 88
Thus;
p^ = 88/95 = 0.9263
z at CL of 90% = 1.645
Now, margin of error is;
E = z√((p^(1 - p^)/n)
Thus;
E = 1.645√((0.9263(1 - 0.9263)/95)
E ≈ 0.044
Thus, at margin of error of 0.44, we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion.
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Your friend took an introductory statistics class last year and learned all about density curves. she tells you that two requirements of a density curve are:______.
Answers
The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.
Given that,
Two requirements of a density curve are to be determined.
A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.
Here,
The two requirements of a density curve should be,
a. The area under the density curve should be equal to 1.
b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.
Thus, the required requirement of the density curve is mentioned above.
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Can someone help me on this
Answers
Answer:
one solution
Step-by-step explanation:
-7 works
7 does not
Unir las operaciones con el mismo resultado
(Ignoren los resultados)
Answers
2) 5 7) 23
3) 16 8) 8
4) -14 9) 6 + 6i square root of 2
5) -9 10) 5
11) -9
2.(2) square root of 38.2
Answer:
Step-by-step explanation:
1.
1) =7+(-4)=3
2) =13-8=5
3) =11+5=16
4) =-5-9=-14
5) =-8-1=-9
6) =-1-(-7)=6
7) =-10+13=3
8) =15-7=8
9) =-2+6=4
10) =9-4=5
11) =-1-8=-9
2.
[tex]\sqrt{12.8+25.4}= \sqrt{38.2}\approx 6.18[/tex]
Which of the following is not a rational number?
A) The product of 14 and 0.833333...
B) The sum of 27 and 43
C) The product of 12 and 17−−√
D) The sum of 5+5√ and 14−5√
Answers
The product of 12 and √17 is not a rational number.
Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number.
In other words, p/q, where p and q are both integers and q ≠ 0, can be used to represent a rational number.Irrational numbers are real numbers that cannot be represented as simple fractions. An irrational number cannot be expressed as a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers.The product of ant two rational numbers is always a rational number , but product of a irrational number and a rational number is not a rational number.
Hence only the third option is correct.
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Justin purchased a 20 pound pumpkin for $9.80. How much did she pay per pound? show your work!
Answers
Answer: so Justin pays 0.49 per pound for each pumpkin
Give me brainliest if it is correct
Step-by-step explanation: so Justin a 20 purchased a pound Pumpkin for 9.80 so first
you put [tex]\frac{9.8}{20}[/tex] and when you divide you get 0.49
0.7+y=−1.34 Please solve it I tried 0.64 and it said it was incorrect.
Answers
Answer:
-2.04
Step-by-step explanation:
it'll be
-1.34 - 0.7 = y
- 2.04 = y
please help me, i have a test soon :/
Answers
Answer:
-2 <= y <= 4
Step-by-step explanation:
-3 <= 2y + 1 <= 9
-4 <= 2y <= 8
-2 <= y <= 4
Answer:
-2 <= y <= 4
Step-by-step explanation:
-3 <= 2y + 1 <= 9
-4 <= 2y <= 8
-2 <= y <= 4
The probability of a particular event occurring is 0.27.
What is the probability that the event will NOT occur?
Answers
The Probability of not occurring of that event is 0.73.
Simply put, probability is the likelihood that something will occur.
When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Flipping a coin is the best illustration for understanding probability:
Heads or tails are the two possible results.
What is the likelihood that the coin will land on heads? P(H) = can be used to determine this. P(H)=? P, H, the equals sign, the left and right parenthesis, and the question mark. It's possible that you already know 50%, or half and half, is the likelihood. How do we figure it out, though?
Probability of an event = (number of possible outcomes) / (total number of outcomes)
we know , total probability is always 1
Total probability = pro. of event occur + prob. of event not occur
1 = 0.27 + event not occur
probability of event not occur is 0.73
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the MAth question is on the image.
Answers
Answer:
a good estimation is 190
Step-by-step explanation:
(2x25)+(3x12)+(7x8)+(9x5)=187
187 rounds to 190
Answer: (a) 0-2 (b) 3.2
Step-by-step explanation:
modal = the number that appears the most
mean = average
(a) modal class interval: 0 - 2
(b) first, find the mean of each class interval (number of letters delivered):
1, 3.5, 6 and 9
1 x 25 = 25
3.5 x 12 = 42
6 x 8 = 48
9 x 5 =45
25 + 42 + 48 + 45 = 160
number of houses:
25 + 12 + 8 + 5 =50
mean:
160 / 50 = 3.2
triangle mno is shown. which triangle can be shown to be congruent to triangle mno with only the given information? explain your reasoning.
Answers
Answer: triangle 4 MNO≅JKL
Step-by-step explanation:
Attribute data is data that logically can be only whole numbers and can be expressed as:_____.
Answers
Attribute data is data that logically can be only whole numbers and can be expressed as control charts.
What is Attribute data?Attribute data is information that is used to create control charts. This information can be used to generate a variety of chart systems, such as percent charts, charts displaying the number of affected units, count-per-unit charts, demerit charts, and quality score charts. In a nutshell, variable data is data in which quality is described quantitatively in terms of dimensions, weights, or other characteristics, whereas attribute data is data in which quality is described qualitatively in terms of measurements. Attribute data examples include sorting and counting the number of blemishes (defects) in a specific product and the number of nonconforming pieces (defectives). Assume we want to look into the quality of a bag of M&Ms.Therefore, attribute data is data that logically can be only whole numbers and can be expressed as control charts.
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A car driving at 10.0 m/s southward accelerates at 4.11 m/s2 southward for 7.25 s. what is the car's speed after this amount of time?
Answers
The car's speed after the given amout of time is 19.8 m/s²
How would you define acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.
Average Acceleration =Change in Velocity/ Time Taken
So Change in Velocity is 10-x m/s
Time taken is 7.25 s
Given accelaration 4.11 m/s²
Putting the values we get,
4.11 = (10-x)/7.25
⇒29.8 = 10-x
⇒x=19.8 m/s²
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gerry withdraws all the principal and interest after the first year and deposits it into another one year account at the same rate. what will his interest be for the second year? d. what will his balance be after two years ?
Answers
a. Interest of the first year = $26.93
b. Balance after the first year = $1256.93
c. Interest for the second year = $27.52
d. Balance after the second year = $1284.45
Although a part of your question is missing, you might refer to this full question: Gerry deposited $1230 in an account that pays 2.19% simple interest for one year.
a. How much interest will he earn in one year?
b. What will be his balance after one year?
c. Gerry withdraws all of the principal and interest after the first year and deposits into another one-year account at the same rate. What will be his interest for the second year?
d. What will his balance be after two years?
Principal = $1230
Rate = 2.19%
Formula to be used:
Simple interest = (P*R*T)/100
where P = principal
R = rate
T = time in years
Calculating interest for the first year:
S.I = (1230*2.19*1)/100
S.I = 26.93
So, he will earn $26.93 as interest in the first year
And balance after the first year will be $1256.93
Solving for the second year:
P = 1256.93
S.I = (1256.93*2.19*1)/100
= 27.52
So, interest for the second year will be $27.52
And balance after the second year will be $1284.45
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Ry+z/m-t=x. Solve for y
Answers
In linear equation, y = \frac{x}{r} - \frac{z}{mr} + \frac{t}{r} is simple form .
What is a formula for linear equations?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.Ry+ z/m-t=x
Ry = x - z/m + t
[tex]y = \frac{x - \frac{z}{m}+ t }{r}[/tex]
[tex]y = \frac{x}{r} - \frac{z}{mr} + \frac{t}{r}[/tex]
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Write a function g whose graph represents a horizontal stretch by a factor of 4 followed by a reflection in the y-axis of the graph of f(x)=|x|.
Answers
The function is 4|x-4|.
It is required to find the function g.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The original function is:
f(x)=|x|
Translation 4 units to the right we get,
f(x-4)=|x-4|
Horizontal stretch by a factor of 4
Multiplying by 4, so:
g(x)=4f(x-4)=4|x-4|
Therefore, the function is 4|x-4|.
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Solve the equations. 1. 21-9 = 2.35 - 15 = 3.30 - 25 = 4.40 - 10 = 5.30 - 20 = 11.34 - 20 = 12. 22 - 12 = 13.30 - 10 = 14. 19-9- 15. 28 - 12 =
Answers
2. 35 - 15= 20
3. 30 - 25= 5
4. 40 - 10= 30
5. 30 - 20= 10
11. 34 - 20= 14
12. 22 - 12=10
13. 30-10=20
14. 19-9 = 10
15. 28 - 12 = 16
I hope this helps. Imk if this what your asking. Have a good day!! :)
Answer:
12, 20, 5, 30, 10, 14, 10, 20, 10, 16
Step-by-step explanation:
1.) 21-9=12
2.)35-15=20
3.) 30-25=5
4.) 40-10=30
5.) 30-20=10
11.) 34-20=14
12.) 22-12=10
13.) 30-10=20
14.) 19-9=10
15.) 28-12=16
need help with this! show work please!
Answers
Answer:
(a) 1/2
(b) $1,080,000
(c) 72°
Step-by-step explanation:
We have to find the ratio in which the money is being distributed
To do this first add up the individual values in the ratio 5:3:2 which represents the ratio C:D:E for apportioning savings
5 + 3 + 2 = 10
Chris's share = 5/10 = 1/2
Danny's share = 3/10
Evelyn's share = 2/10 = 1/5
Answers
(a) Fraction of Danny's share = 1/2
(b) If Danny is to receive $540,000 and his share is 1/2 of total savings then the total savings = 2 x 540,000 = $1,080,000
(c) The ratio of the angles in a pie chart will be the same as the ratio of the division. A pie chart shows the relative shares as part of a circle. Since a circle contains 360° , the angle of the sector that represents Evelyn's share will be 1/5 x 360 = 72°
Using the protractor tool on the right, choose the image that represents an angle that is 100°.
Answers
Answer:
If I'm right it should be B.
Step-by-step explanation:
I looked it up
A cylinder has a height of 5 feet and a diameter of 2 feet. Which measurement is closest to the volume of the
cylinder in cubic feet?
62.8 ft³
15.7 ft3
78.5 ft3³
157.1 ft3
Answers
The measurement that is closest to the volume of the cylinder in cubic feet is: 15.7 Feet. (Option B)
Recall that volume is
V = πr²h
Given:
h = 5 feet
r = 2/2 = 1
Hence
V = 5 x 1 x 22/7
= 15.7142857143
Hence, the cylinders volume in cubic feet is given as:
[tex]$\approx$[/tex] 15.7 ft
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Answer: 15.7 ft3
Step-by-step explanation:
a) x³y²if x = 2 and y = 4
Answers
Answer:
128
Step-by-step explanation:
x³y²if x = 2 and y = 4
x³*y²
[tex](2)^{3} * (4)^{2}[/tex]
(2*2*2)*(4*4)
(8)*(16)
128
45% of what number is 90?
Answers
I believe the answer is 200.