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If the volume of a rectangular prism was 45 cubic feet, what would be the volume of a rectangular pyramid with the same area base and height as the prism?
Answer:
1/3 of 45 = 15 cubic feet
Step-by-step explanation:
volume of rectangular prism = (B)(h)
volume of rectangular pyramid = 1/3(B)(h)
If you roll a 6-sided die 54 times, what is the best prediction possible for the number of times you will roll a one?
Answer:
50% of the time (27 times) you will get an even number
Step-by-step explanation:
sorry if it wrong
Connie deposits $30 into an account. The value of the account, in dollars, can be modeled as V (t) = 30(1.05), where t is the time, in years, since opening the account.
To the nearest cent, what is the average rate of change in the value of the account for the first 3 years?
A
$0.63/year
1.
B
$1.58/year
le:
wi...
m
my
b...
С
$3.15/year
D
$4.73/year
Answer:
Step-by-step explanation:
The average rate of change in the value of the account for the first 3 years
is $1.58.
What is an exponential function?When the independent variable is in the power of some function we call them an exponential function, For example, [tex]e^x[/tex] is an exponential function.
Given, The value of the account, in dollars, can be modeled as
[tex]V(t) = 30(1.05)^t[/tex].
Now at t = 3 or after 3 years, it is [tex]V(t) = 30(1.05)^3[/tex].
V(3) = $34.73 and he initially deposited $30.
So, The average rate of change is $(34.73 - 30)/3 = $(4.73)/3 = $1.58.
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Can someone help please
Diego is buying candy by the pound. For every 10 pounds, he pays $23. What is the cost per pound?
Will give BRAINLIEST!!
list five causes of egg breakage in poultry production
1. Overweight pullets
2. Pullets coming into lay
3. Poor hygiene: Cage, trays
4. Heat stress
5. Bird age
Answer:
Aging hens, decreased lighting conditions, molting, omission of feed ingredients
Step-by-step explanation:
Find the slope and reduce.
P=(5, 7) Q=(-2, -3)
Answer:
10/7
Step-by-step explanation:
Use the slope formula y2-y1/x2-x1
You can’t reduce so the final answer is 10/7
what is the value of x?
Answer:
x=37
Step-by-step explanation:
As you can see in the image, both angles are congruent to each other. 74 degrees and 2x degrees. You have to divide 74 by 2 to find what x equals.
74/2=37
x=37
It's your birthday there are 27 kids in your class if each kid eats a maximum of nine cookies how many cookies do you need to bring?
Answer:
the maximum number would be 243 cookies
Step-by-step explanation:
What is the value of f(x) when x=3?
0 -3
0-2
0 1
04
The value of the function when x=3 is approximately 18.83.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
The function
Now,
we need to substitute x=3 into the function and simplify it. We get:
3(3)−1+(1+3)2
=8+16
≈2.83+16
=4
Therefore, by the given function answer will be 4.
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a college employs 15 stewards. what is the average monthly wage of the stewards if the college pays 226.20 naira in wages each months
here are the approximate population of three countries, expressed in scientific notation: panama: 4 x 10^6 ; peru: 3.2 x 10^7 ; thailand: 7 x 10^7. Lin says that more than 20 times as many people live in thailand than in panama. Is this correct
Answer:
No, Lin assumption is wrong
Step-by-step explanation:
Given
Population of panama = 4 x 10^6
population of thailand = 7 x 10^7.
Taking their ratios
thailand/panama = 7x 10^7/4 x 10^6
thailand/panama = 7/4 * 10^7-6}
thailand/panama = 1.75 * 10^1
thailand/panama = 17.5
thailand = 17.5 * panama
Hence the amount of people in thailand is not up to 20times those in panama. Hence Lin assumption is wrong
Using proportions, it is found that the ratio is of 17.5, hence Lin is not correct.
What is a proportion?A proportion is a fraction of a total amount.
In this problem:
Thailand's population is of 7 x 10^7.Panama's population is of 4 x 10^6.The ratio between the populations is given by:
r = 7 x 10^7/(4 x 10^6) = 1.75 x 10^1 = 17.5.
The ratio is of 17.5, hence Lin is not correct.
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Find the perimeter of the trapezoid.
16
7
5
4
20
Plz plz help
Answer:
48
Step-by-step explanation:
7+16+5+20=48
Ms. Perry spent $2000 to buy some new computer equipment. Of this money, $120 was used to
buy some new keyboards. What percent of the money was spent on keyboards?
Answer: 6%
Step-by-step explanation: Step 1: We make the assumption that 2000 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=2000$.
Step 4: In the same vein, x%=120.
Step 5: This gives us a pair of simple equations:
100%=2000(1).
x%=120(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
[tex]\frac{100\%}{x\%}=\frac{2000}{120}[/tex]
Step 7: Taking the inverse (or reciprocal) of both sides yields
[tex]\frac{x\%}{100\%}=\frac{120}{2000}[/tex]
[tex]\Rightarrow x=6\%[/tex]
Therefore, 120 is 6% of 2000$.
Three functions are shown below.
f(x) = 3x2 - 4x - 3
g(x) = 5x + 2
h(x) = 3x2 + 4x-1
What is f(x) + g(x) + h(x)?
A. "6x2 - 5x - 2
OB. "6x2 - 13x - 4
O C. -6x2 - 14x - 6
OD. 9x2 - x + 2
f(x) = 3x2 - 4x - 3
g(x) = 5x + 2
h(x) = 3x2 + 4x-
SOMEONE PLEASE HELP IM STUCK AND ITS MY LAST QUESTION
Answer:
Theta=60
Step-by-step explanation:
Lets start to get the value of x in [tex]sin(x)=\frac{1}{2}[/tex]
Just do the opposite which is [tex]sin^{-1}(\frac{1}{2}) = 30[/tex]
So [tex]sin(30)=\frac{1}{2}[/tex]
Still we got only the value of x not theta then
The value of x = theta/2
Theta/2=30 multiply each side by 2
Theta = 60
Write an equivalent expression that does not use parentheses.
9(3 - x)
Answer:
i'm going to be honest and say sorry if i its wrong but
i think its 27 - 9x
and ageing sorry if its wrong
Step-by-step explanation:
helpppp meet please
Answer:
I think it’s 18
Answer:
18
Step-by-step explanation:
the larger triangle is just a bigger version of the smaller one, and the equal sides show us that it is scaled up to be doubled in size, therefore 9x2=18
The confidence interval based on the two-sample design is wider because there is considerable variation in mileage between the cars. The confidence interval based on the paired design is wider because there is little variation in mileage between the cars. The confidence interval based on the two-sample design is wider because there is little variation in mileage between the cars. The confidence interval based on the paired design is wider because there is considerable variation in mileage between the cars.
Answer:
The confidence interval based on the paired design is wider because there is little variation in mileage between the cars.
Step-by-step explanation:
The sample size randomly collected is matched sample and since the confidence interval is based on the paired design is large and wide. There is small variation between the mileage of the two cars indicating the cars have mileage based on the fuel.
WILL GIVE BRAILIEST FOR ANYONE WHO ANSWERS!
No fake answers and no critisizing
Answer:
Step-by-step explanation:
c
Answer:
item c is the answer
18(3x+1)+3 ; x=2 evaluate the expression for the given value of the variable.
Answer:
Not sure but I think the answer is 129
Step-by-step explanation:
first, substitute the value of x in the expression like this
18(3*2+1)+3
after substituting, our work has made easier
18(6+1)+3
18(7)+3 or simply 18*7+3
126+3
129
What is the difference of (5 + 3i) and (2 + 9i)?
A. 7 + 12i
B. 3 + 6i
C. 3 − 6i
D. 7 + 6i
The difference of the two complex numbers (5 + 3i) and (2 + 9i) is; 3 - 6i.
What is the difference of the two complex numbers (5 + 3i) and (2 + 9i)?It follows from the task content that the two difference of the two complex numbers (5 + 3i) and (2 + 9i) be determined.
Since the numbers given are; (5 + 3i) and (2 + 9i).
The difference can be mathematically as follows;
( 5 + 3i ) - ( 2 + 9i )
By the Distributive property; we have;
5 + 3i - 2 - 9i
Collect like terms so that we have;
= 5 - 2 + 3i - 9i
= 3 - 6i
On this note, the difference between the two complex numbers is; 3 - 6i.
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Solve for x. Each figure is a trapezoid.
12) MK = 23
LJ = 4x - 9
Answer:
32
Step-by-step explanation:
23
help asap pls! A fish tank is shaped like a rectangular prism.
The area of the base of the fish tank is 6 1/8 square feet.
The height of the fish tank is 3 1/2 feet.
What is the volume, in cubic feet, of the fish tank?
A. 18 1/16
B. 21 7/16
C. 75 1/32
D. 131 39/128
Answer:
A. Makes the most sense. If you are using multiplication you'd get 18 1/16
20 PTS HELP PLEASE !!!!!!
Which of these choices is a solution to the equation (x + 4)(x - 3) = -10?
a) 4
b) 3
C) -2
d) -1
The solution of the given equation (x + 4)(x - 3) = -10 is -2.
Thus, option C is correct.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
Here, 4 and 12 are constants and x is variable
Given equation:
Multiply the brackets,
(x + 4)(x - 3) = -10
[tex]x^2-3x+4x-12 = -10[/tex]
x^2 +x -12+10 =0
x^2 +x -2=0
x(x+2)-1(x+2)=0
(x+2)(x-1)=0
x= -2, x=1
Thus, option C is correct.
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1. Find the ratio of the width to the length of the rectangular swimming pool sketched below.
15
A.
-yards
34
width = 7.5 yards
yards
4
В.
19
C
19
yards
15
length = 9.5 yards
D.
15
yards
19
Please helpppppppppp
Answer:
77 cubed in.
Step-by-step explanation:
I think it is 77 cubed inches because the formula is V-bh
How many diagonals does a
rectangle have?
A rectangle has two pairs of opposite sides that are equal in length and four right angles.
To determine the number of diagonals a rectangle has, we need to consider that a diagonal connects any two non-adjacent vertices of a shape.
In a rectangle, there are four vertices. For each vertex, we can draw a diagonal to any of the other three vertices that are not adjacent. Since there are four vertices in total, we can draw a diagonal from each of the four vertices to three other vertices, resulting in a total of 4 * 3 = 12 diagonals.
However, we must keep in mind that each diagonal is counted twice since it connects two different vertices. Therefore, we need to divide the total count of diagonals by 2, giving us the final answer.
Hence, a rectangle has 12/2 = 6 diagonals.
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plz help it’s almost due
Answer:
m>z=85
x = 15!
Step-by-step explanation:
85=z because they are opposite eachother and the two lines intersect.
85*2=170, so we have 170 degrees for the two angles we know the measure of. Now, we need to find the remaining angles.
360-17=190. There is 190 degrees that need to be solved still.
190/2 is 95. Each angle remaining is 95 degrees.
8x-25=95
+25
8x = 120
/8
x=15