Answer:
grams of clay it can hold = 6 × 40 = 240 grams
Step-by-step explanation:
The first box has a height 2 cm , width of 3 cm and a length of 5 cm. The box can only hold 40 grams of clay . The volume of the box can be calculated as follows
volume = length × width × height
height = 2 cm
width = 3 cm
length = 5 cm
volume = 5 × 3 × 2 = 30 cm³
The second box has twice the height of the first box , 3 times the width of the first box and retains the same length of the first box. The dimension are as follows
height = 2 × 2 = 4 cm
width = 3 × 3 = 9 cm
length = 5 cm
volume = length × width × height
volume = 5 × 9 × 4 = 180 cm³.
The volume of the second box is 6 times bigger than the first box therefore , it can hold 6 times the weight of the first box.
grams of clay it can hold = 6 × 40 = 240 grams
The graph of y = cosine (x + StartFraction pi Over 2 EndFraction) is the graph of the y = cos(x) shifted in which direction?
StartFraction pi Over 2 EndFraction units to the left
StartFraction pi Over 2 EndFraction units to the right
StartFraction pi Over 2 EndFraction units up
StartFraction pi Over 2 EndFraction units down
Answer:
pi/2 units to the left
Step-by-step explanation:
The Phase Shift of a periodic function is the horizontal shift of the function from its normal position. The graph will be shifted by (π/2) units to the left.
What is phase shift?The Phase Shift of a periodic function is the horizontal shift of the function from its normal position. The shift is either left or right.
For example, if the value of c in the function of sine is negative then the function will move towards the right side by the value of c, while if the value of c is positive then the function will towards the left.
The function y=cos(x) is a periodic function, while when the function is transformed to y=cos(x+ π/2), the phase shift of the function will be +(π/2) and that will be in the left direction from the normal position. Therefore, the graph will be shifted by (π/2) units to the left.
Learn more about Phase shift:
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If a data value in a normal distribution has a negative z-score, which of the following must be true?
WHERE ARE THE FOLLOWING?
Answer:
C. The data value must be less than the mean
Step-by-step explanation:
Took the quiz on edge:)
YOU WILL GET BRAINLIEST
Evaluate the expression. 9^4*9^−4
Answer:
1
Step-by-step explanation:
9^4 = 6561
9^-4 = 1/6561
6561/6561 = 1
I NEED HELPPPPP!!!! PLZZZ
Answer:
13.5
Step-by-step explanation:
What is true about the dilation?
It is a reduction with a scale factor between 0 and 1.
It is a reduction with a scale factor greater than 1.
It is an enlargement with a scale factor between 0 and 1.
It is an enlargement with a scale factor greater than 1.
Answer:
A
Step-by-step explanation: :) am sure
Answer: A. A reduction is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image. If the scale factor is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement.
Step-by-step explanation:
I hope this helps:)
What is the value of x, if the volume of the cone is 12 pi m^3?
4 m
5 m
6 m
10 m
Answer:
4 m
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
12 pi = 1/3 pi (3)^2 x
12 pi = 1/3 pi 9 x
12 pi = 3pi x
Divide each side by 3 pi
12 pi / 3pi = 3pix/ 3pi
4 =x
PLEASE HELP ME I REALLY NEED IT
Answer:
D. The hypotenuse is 10 cm.
Step-by-step explanation:
6²+8²=c²
36+64=c²
100=c²
√100=c
10=c
A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents the amount of the isotope left then the equation for the situation is
Answer:
y=y0e^-0.0002t
Step-by-step explanation:
Two cars are 270 miles apart and traveling toward each other on the same road. They meet in 3 hours. One car is traveling 6 mph faster than the other. What is the speed of each car?
Answer:
42
Step-by-step explanation:
3(x+x+6)=270
3(2x+6)=270
6x+18=270
6x=252
x=42
PLEASEEE HELP
Which table represents a linear function
I need help marking brainliest
1)
Increases as the habitat is increasingly polluted
2)
Decreases as the habitat is increasingly polluted
3)
Remains the same as prey population remains the same
4)
Remains the same as predator population remains the same
Answer:
2) Decreases as the habitat is increasingly polluted
Step-by-step explanation:
number 1 make no sense. 3; at the start, say the population is x. but taking into account the pesticide, it cant no longer ramain the same (pesticide kills some of the x) . 4; similar to the case for answer 3
A sphere with a diameter of 8 inches. What is the surface area of the sphere shown? 16Pi in2 32Pi in2 64Pi in2 256Pi in2
Answer:
201.06 in^2/32Pi in2
Step-by-step explanation:
4Pi in2*8=32Pi in2
Answer:
its C
Step-by-step explanation:
Olga decided to purchase a $22,000 MSRP vehicle at a 4.5% interest rate for 4
years. The dealership offered her a $2500 cash-back incentive, which she
accepted. Taking all these factors into consideration, what monthly payment
amount can she expect?
Answer:
479.375
Step-by-step explanation:
Answer:
$444.67
Step-by-step explanation:
A P E X
help me answer this question thx
336 students enrolled in a freshman-level chemistry class. By the end of the semester, 6 times the number students passed as Find the number of students who passed and the number who failed
From the sample population of students with blond hair, what is the approximate value of the relative frequency of students with green eyes? A. 0.25 B. 0.33 C. 0.27 D. 0.07
Answer:
A.0.25
Step-by-step explanation:
Answer: C 0.27
Step-by-step explanation:
Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678
Answer:2
Step-by-step explanation:22*
Answer:
5 = 25 = 5
6 = 36 = 6
7 = NA
8 = 81 = 9
A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?
A. m/8
b. m-8
c. 8m
d. 8÷m
Answer:A Idk if this is right!
Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions
Answer:
8n + 1, where n is a whole number greater than or equal to 0.
Step-by-step explanation:
Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.
The sequence is an arithmetic sequence.
The pattern is 1 + (n - 1)8.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
1, 9, 17, 25, 33,....
This is an arithmetic sequence.
The first term is 1.
a = 1
The common difference is 8.
d = 8
i.e
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
The nth term of an arithmetic sequence.
= a + (n -1)d
= 1 + (n - 1)8
Thus,
The pattern of the sequence is 1 + (n - 1)8.
Where n is the term of the number.
Learn more about arithmetic sequence here:
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4 Please help. If the central angle measures 123∘, and the radius of the roundabout is 50 meters, how many meters must Jamie sprint to reach Shelly?
Use π≈3.14 and round your answer to the nearest meter.
Enter your answer as a number, like this: 42
Answer:
25
Step-by-step explanation:
jusr distance
Answer: 107 meters
Step-by-step explanation:
Larry, Barry, Terry are saving their money for a trampoline that costs $340.
• The amount of money Larry has saved can be represented by x.
• The amount of money Barry has saved is 1
1
2
times the amount Larry has saved.
• The amount of money Terry has saved is 1
1
3
times the amount Larry has saved.
• The total amount of money saved by Larry, Barry, and Terry is $322.
What is x, the amount of money saved by Larry?
Answer:
Larry=X
Barry=112x
Terry=113x
L+B+T=322
x+112x++113x=322
226×=322
Larry saved $1.42
Answer:
$84
Step-by-step explanation:
I did it before.
Please help me I have to go to a class and I need this fast
Answer:
5) Mode = 63 6) Mode = 74
Range = 70 Median = 74
Median = 63 Range = 57
Mean = 58.75 Mean = 68.7
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST What is the sign of 4ab when a>0 and b<0
a. Positive
b. Negative
c. Zero
Answer: b
Step-by-step explanation:
4ab
[tex]a>0[/tex] a will always be positive.
[tex]b<0[/tex] b will always be negative.
4(a)(-b)
-4ab
Answer:
the answer is A
Step-by-step explanation:
khan said so
Write this algebraic expression in words 5(n-4)+7
Answer:
Five times the difference of n and four plus seven
Step-by-step explanation:
Five times the difference of n and four plus seven
Answer:
five multiplied by the difference of N and four plus seven
Five more than a certain number is 11 less than double the number
Answer:
The number is 16
Step-by-step explanation:
Five more than a certain number is 11 less than double the number
x+5 = 2x-11
11+5 = 2x-x
16 = x
Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8
Which choice is equivalent to the expression 4(x+2y)? I need it right now please!
Answer:
4x+8y
Step-by-step explanation:
you use distributive property
you multiply 4 times x
and 2y times 4
hope this helps
Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36
Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556. That's probably good enough to choose A.
Let's do it the way they want.
[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]
[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]
Answer: A
Estimate worked. Sine is approximately linear when the range is small enough.
A storage container that is in the shape of a rectangular prism has a volume of 60 cubic feet. What could
be the dimensions of the container if one dimension is 3 feet and all dimensions are whole units?
Select all that apply.
A. 3 feet by 4 feet by 5 feet
B. 3 feet by 3 feet by 5 feet
C. 3 feet by 5 feet by 6 feet
D. 3 feet by 2 feet by 10 feet
E. 3 feet by 2 feet by 15 feet
Answer:
A and B i think
Step-by-step explanation:
The table shows the relationship between the number of minutes that a hose
has been on and the number of gallons of water that have been added to a
plastic pool. Which statement is true?
0
5
10
15
20
Minutes Hose
On
Gallons of
Water in Pool
0
80
120
160
»
» The relationship is additive because
the number of minutes can be found
by adding 5 to the number of gallons.
The relationship is additive because
the number of gallons can be found by
adding 5 to the number of minutes.
»
The relationship is multiplicative
because the number of gallons can be
found by multiplying the number of
minutes by 8.
The relationship is multiplicative
because the number of minutes can
be found by multiplying the number of
gallons by 8.
Answer:
(C)The relationship is multiplicative because the number of gallons can be
found by multiplying the number of minutes by 8.
Step-by-step explanation:
Given the table below which shows the relationship between the number of minutes that a hose has been on and the number of gallons of water that have been added to a plastic pool.
[tex]\left|\begin{array}{c|c}$Minutes Hose On&$Gallons of Water in Pool\\-------&-------\\0&0\\5&40\\10&80\\15&120\\20&160\end{array}\right|[/tex]
We can see that if we multiply the first column by 8, we will obtain the second column. Therefore the relationship is multiplicative because the number of gallons can be found by multiplying the number of minutes by 8.
The correct option is C.
