The height of the block that has dimensions of 10 cm and 12 cm and a volume of 1,800 cubic centimeters is 15 cm
What is the volume of a rectangular prism?A rectangular prism is a figure that has six faces that are rectangles.
The dimensions of the rock are;
Width of the rock = 10 cm
Length of the rock = 12 cm
Volume displaced by the rock = 1,800 cubic centimeter
Height of the rock = Required
Let h represent the height of the rock, we get;
Volume of a rectangular prism, V = Length × Width × Height
Volume of the rock = 10 × 12 × h = 1,800
h = 1,800 ÷ (10 × 12) = 15
Where the volume of the rock is 1,800 cubic centimeter, the height of the rock is 15 centimeters
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Beatrice makes a jar of dry soup mix. The ingredients are:
1 3/4 = 7/4cups uncooked rice
1/2 cup dry lentils
1 2/3 = 5/3 cups uncooked pasta
1/3 cup beef bouillon
1/4 cup dried onion flakes
1/2cup dried peas
How much soup mix does this recipe make?
Answer the questions to find out.
The sum 7/4+ 1/2+5/3 +1/3 +1/4 +1/2 gives the amount of mix.
1. Which property could you use to change the grouping of the addends?
The soup mix that this recipe makes is 5.
The property could you use to change the grouping of the addends is the associative property of addition.
How to calculate the value of the mix?From the information, the following can be deduced:
7/4cups uncooked rice
1/2 cup dry lentils
1 2/3 = 5/3 cups uncooked pasta
1/3 cup beef bouillon
1/4 cup dried onion flakes
1/2cup dried peas
The soup mix that this recipe make will be the addition of all the values. This will be:
= 7/4+ 1/2+5/3 +1/3 +1/4 +1/2
= 5
The associative property of addition can change the grouping.
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which of the following fractions is smaller 4/9 or 1/5
Answer:
1/5
Step-by-step explanation:
these fractions are proper fractions
Answer: 1/
Step-by-step explanation:
if -3 + i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
Answer:
-3 - i
Step-by-step explanation:
This is true, because when solving for an imaginary solution through a polynomial, the form A ± Bi will always be adhered. A and B are both constants.
(Constants are just any real number, like 1, 2.35, or [tex]\frac{1}{2}[/tex].)
the united nations stores data about the kilowatt-hours of wind power produced around the world. the following data set gives information of the united states for 25 years, from 1990 to 2014, in units of million kilowatt-hours. using a calculator or statistical software, find the linear equation of the first 11 years of data, from 1990 to 2000. round the slope to two decimal places and the y-intercept to the nearest whole number. provide your answer below:
The value that the linear equation predicts for the year 2001 is 4652.15
The discrepancy between the actual and anticipated value is 2173.85
Given data;
Here, we present the dataset from the United Nations, which contains information on the number of kilowatt-hours of wind energy generated globally. The data set provides statistics on the US for 25 years, from 1990 to 2014, in millions of kilowatt-hours.
The linear equation for the first 11 years of data, from 1990 to 2000, must be determined.
To determine how much the actual value and anticipated value for the year 2001 differ in Quantity, we must first forecast the value for the year 2001 using our fitted equation with y-intercept.
It will be written as y = m(x) + c.
where,
The dependent variable is y. (in our example is quantity)
The independent variable is x. (in our example is the year)
'm' is equal to the slope of the variable X.
'C' is a constant.
The fitted equation is provided as follows:
Quantity = 186.87 (year) - 369274.72
Now that the value for the year 2001 has been provided,
Quantity = -1868.87 -369274.72
Quantity = 4652.15
The value that the linear equation predicts for the year 2001 is 4652.15.
The precise figure for 2001 is 6806.
For the year 2001, the discrepancy between the actual and anticipated values is
6806 - 4652.15 = 2173.85
The distinction is 2173.85.
(2173.85/6806)*100 is the percentage difference.
As a result, the difference between the actual value and the forecasted value for the year 2001 is 31.94%.
Hence,
The value that the linear equation predicts for the year 2001 is 4652.15
The discrepancy between the actual and anticipated value is 2173.85
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A retailer needs to purchase 12 printers. The first printer costs $54, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers. What is the total cost of 12 printers?.
The total cost of 12 printers is; $493.41
Cost of first printer; C1 = $54
Cost of second printer is; 95% × 54 = $51.3
Cost of third printer is; 0.95 × 51.3 = $48.735
Cost of fourth printer = 0.95 × 48.735 = $46.298
Now, let us apply same pattern using a calculator for the remaining costs and we will have them as follows;
Cost of 5th printer = $43.983
Cost of 6th printer = $41.784
Cost of 7th printer = $39.695
Cost of 8th printer = $37.710
Cost of 9th printer = $35.825
Cost of 10th printer = $34.033
Cost of 11th printer = $32.332
Cost of 12th printer = $30.715
Total cos is; 54 + 51.3 + 48.735 + 46.298 + 43.983 + 41.784 + 36.695 + 37.710 + 35.825 + 34.033 + 32.332 + 30.715 = $493.41
Therefore, the total cost of 12 printers is $493.41
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4. Find x.
xº
78°
65°
This is problem number 4
I will mark brainless if I get this question right when I turn it in
The answer would be 78 degrees, or 70 degrees
Help please
I need this by tomorrow
Answer:
I hope this will help. Tip: reuse the formula!
How do this?Help pls give answer
Answer:
Step-by-step explanation:
Ok! So apparently I think you are learning about pre algebra. So the questions are saying what times 1/4=8 in that case it would be x = 32. x is just a fancy way to say you don’t know what it is.
Which of the following is not an isometry
A). Translation
B). Line reflection
3). Point reflection
4). Rotation
The option that is not an isometry from the given transformations is 3). Point reflection.
What is an isometry?An Isometry refers to a transformation that leads to the distance and length of a shape being preserved when it is transformed.
Translations and rotations preserve the shape of a figure during transformation which means they preserve length which makes them an isometry. The same is true of line reflections.
Point reflections on the other hand, will lead to a change in dimensions for the figure being transformed.
In conclusion, `a point reflection is not an isometry.
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Image is the equation
Answer:
y = [tex]\frac{3}{4}[/tex] x + 8
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = [tex]\frac{3}{4}[/tex] , then
y = [tex]\frac{3}{4}[/tex] x + c ← is the partial equation
to find c substitute (- 4, 5 ) into the partial equation
5 = - 3 + c ⇒ c = 5 + 3 = 8
y = [tex]\frac{3}{4}[/tex] x + 8 ← equation of line
Really need help!
Graph the equation y =x²
+ 4x - 5 on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the roots
of the equation x² + 4x − 5 = 0.
Answer:
See picture below
Step-by-step explanation:
Use Desmos the free calcualtor.
What does 25 DIVIDE by 3 equal?
Step-by-step explanation:
25/3 = 8.33
hope it's helpful
Which of the following represents the series?
–12 + (–5) + 2 + 9 + 16
sum from k equals 0 to 4 of negative 19 plus 7 times k
sum from k equals 1 to 5 of negative 19 minus 7 times k
sum from k equals 0 to 4 of negative 12 plus 7 times k
sum from k equals 1 to 5 of negative 12 minus 7 times k
(image includes proper visuals for each option)
The expression that represents the sum of the arithmetic series that has a first term of -12, a common difference of +7 and a number of terms of 5 is the option with the following;
[tex]\sum\limits_{k = 0}^4-12+7\cdot k[/tex]What is an arithmetic series?An arithmetic series one that consists of the sum of an arithmetic sequence, such that each term of the series is obtained from the previous term by the addition or subtraction of a constant.
The series in the question is; -12 + (-5) + 2 + 9 + 16
Each term in the series is obtained from the previous term by the addition of a 7The series in therefore a series of an arithmetic sequence
The equation of the series when the first term is -12 can therefore be presented as follows;
-12 + 7·k
Where;
-12 is the first term, 7 is the common difference, n is the number of terms, and k = n - 1
When n = 1, k = 0, which gives;When k = 0, the expression, -12 + 7·k = -12 + 7 × 0 = -12When k = 1, -12 + 7·k = -12 + 7 × 1 = -5When k = 2, -12 + 7·k = -12 + 7 × 2 = 2When k = 3, -12 + 7·k = -12 + 7 × 3 = 9When k = 4, -12 + 7·k = -12 + 7 × 4 = 16The above values for the terms of the series is obtained by using values of k that range from k = 0 to k = 4
The expression that represents the series is therefore the option;
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Valentina measured a kitchen and made a scale drawing. She used the scale 1 inch : 2 feet. A countertop in the kitchen is 2 inches wide in the drawing. How wide is the actual counter?
The actual width of the countertop is 4 feet
Given,
Valentina measured a kitchen and made a scale drawing;
The scale she used for the drawing = 1 inch ; 2 feet
The width of countertop of kitchen in drawing = 2 inches.
We have to find the actual width of the countertop;
Here,
The scale factor used in the drawing = 1 inch = 2 feet
1 inch = 2 feet
2 inch = 2 x 2 = 4 feet
Now,
The actual width of the countertop = Width in drawing x 2
= 2 x 2 = 4 feet
That is,
The actual width of the countertop is 4 feet
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What is the next fraction
in this sequence?
Simplify your answer
5/14, 3/7, 1/2, 4/7 …
what is the vertex of -2x^2 +12x -10
The vertex of the function f(x) = x^2 + 12x is (-6, -36).
How can the vertex be expressed?The concept that will be used here is the concept of Standard equation of a curve in vertex form.
The standard equation can be written as
f (x) = ax^2 + bx + c
Then the Vertex is the (h,k)
Then the X-coordinate of the vertex can be written as (h = -b/2a) where k = f(h)
If we compare the given equation with the standard form, then we have
a = 1, b = 12 and c = -10
Then we can input the values into the (h = -b/2a)
h =[ -12/2(1)] = - 6
Then we can substitute the value of h in f (x) which is f(x) = x2 + 12x
k = f(h)= f (-6) =[ (-6)2 + 12 (-6)]
= [36 - 72] = -36
In conclusion the vertex is (-6, -36).
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polynomial function
Answer: (2x+1)(x−3) ( 2 x + 1 ) ( x - 3 )
Step-by-step explanation:
To write a polynomial in standard form, simplify and then arrange the terms in descending order. Expand (2x+1)(x−3) ( 2 x + 1 ) ( x - 3 ) using the FOIL Method.
Please help
What equation is represented by the values in this table
Answer:
y=2x-2
Step-by-step explanation:
use y2-y1/x2-x1 to find slope
4-2/3-2
2/1
2 is the slope
A and B are the only possible answers so far
Now to find y intercept
We know it can’t be +2 because at 2 x is equal to 2 so -2 is the only option
Hopes this helps please mark brainliest
8x1 4* 28 × +8 help me
Answer:
8x1 4* 28 × +8 = 28x + 12
8x^1 + 4 times 28 + 8
Add common Factors which are 8x and 28x added they equals 36x and 4 and 8 which equals 12 so now we got 28x + 12 and that is the answer
PLEASE GIVE BRAINLIEST THANK YOU!!!
for each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points on graph paper and drawing the line thoruhg them wiht a ruler
The slope of points (1,3) and (4,5) will be 2/3.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise and the run of the line.
Given that the line is passing through points (1,3) and (4,5). The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 5 - 3 ) / ( 4 - 1)
Slope = 2 / 3
Therefore, the slope of points (1,3) and (4,5) will be 2/3.
The complete question is given below.
Find the slope of the line that passes through both points (11,3) and (4,5).
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You have $18 and earn $0.25 for each cup of orange juice you sell. Write an equation that represents the total amount A (in dollars) you have after selling j cups of orange juice.
Answer:
A = 0.25*j + 1
Step-by-step explanation:
Answer:
[tex]A = 18 + \frac{j}{4}[/tex]
Step-by-step explanation:
A = 18 + j/4
A = Amount in $
Starting amount is 18 and a 1/4 dollar is earned for every cup of juice sold.
Mrs. Nicholas baked two batches of cookies. The first batch consisted of 120 gingerbread cookies and the second batch consisted of 150 shortbread cookies. Mrs. Nicholas saved the same fraction of cookies from each batch. If Mrs. Nicholas saved 20 more shortbread cookies than gingerbread cookies, what fraction of the cookies did she save?
Answer:
i think 2/15 of the cookies
Step-by-step explanation:
hope this helps
suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 45 pounds and standard deviation 3.2 pounds. most airlines charge a fee for baggage that weigh in excess of 50 pounds. determine what percent of airline passengers incur this fee.
In most of the cases airlines charges a fees for baggage weigh in excess of 50 pounds. Then about 94.06% passengers incur this fees.
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Given That,
Mean (μ) = 45 pounds and Standard Deviation (σ) = 3.2
This means that μ = 46 , σ = 3.2
Since, Most airlines charges a fee for baggage that weigh in excess of 50 pound.
Then, As a proportion this is 1 subtracted by the P - value of Z when
X =50. So,
Z = X - μ / σ
⇒ Z = 50 -45/ 3.2
⇒ Z = 5/3.2
⇒ Z = 1.56
when Z = 1.56 has a P- value of 0.9406
Now, 0.9406 × 100%
= 94.06%
Therefor, 94.06% of airline passengers incur this fees.
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: in a random sample of 20 people, what is the probability that 2 are 65 years or older, 5 are 55-64 years old, 6 are 25-54 years old, 4 are 15-24 years old and 3 are 0-14 years old?
the probability that 2 are 65 years or older, 5 are 55-64 years old, 6 are 25-54 years old, 4 are 15-24 years old and 3 are 0-14 years old IS 0.24243
the complete question is:
The demographic profile of Ecuador in 2018 is • 27.08% of the population are 0–14 years old • 18.35% are 15–24 years old • 39.59 are 25–54 years old • 7.53% are 55–64 years old • 7.45% are 65 years and older. In a random sample of 20 people, what is the probability that 2 are 65 years or older, 5 are 55–64 years old, 6 are 25–54 years old, 4 are 15–24 years old and 3 are 0–14 years old?
answer:
P(x) = P(x=2) + P(x=5) +p(x=6) +p(x=4) +p(x=3)
=20[tex]C_{2}[/tex][tex](7.45)^{2}[/tex][tex](2.55)^{18}[/tex]+20[tex]C_{5}[/tex][tex](7.53)^{5}[/tex][tex](2.47)^{15}[/tex]+20[tex]C_{6}[/tex][tex](39.59)^{6}[/tex][tex](0.41)^{14}[/tex]+20[tex]C_{4}[/tex][tex](18.35)^{4}[/tex][tex](1.65)^{16}[/tex]+20[tex]C_{3}[/tex][tex](27.08)^{3}[/tex][tex](2.92)^{17}[/tex]
P(x) = 0.2424
the probability that 2 are 65 years or older, 5 are 55-64 years old, 6 are 25-54 years old, 4 are 15-24 years old and 3 are 0-14 years old IS 0.24243
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Amadou and his children went into a grocery store and he bought $9 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. He bought 4 times as many apples as bananas. By following the steps below, determine the number of apples, x, and the number of bananas, y, that Amadou bought.
Determine THREE ways to have 4 times as many apples as bananas.
There are 3 other ways so please try to answer them!
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of apples is 8.
The number of bananas is 2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total cost = $9
Cost of one apple = $1
Cost of one banana = $0.50
The number of bananas = x
The number of apples:
y = 4x
Now,
1y + 0.50x = 9
4x + 0.50x = 9
4.50x = 9
x = 9/4.50
x = 2
Now,
y = 4 x 2 = 8
Thus,
The number of apples 8.
The number of bananas is 2.
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PLEASE HELP, QUESTION IN THE PICTURE
Step-by-step explanation:
AC is the combination of AB and BC.
so, AB + BC = AC
(2n - 1) + (4n + 5) = 10n - 12
2n - 1 + 4n + 5 = 10n - 12
6n + 4 = 10n - 12
4 = 4n - 12
16 = 4n
n = 4
Does the function y=x have an inverse? If so does it pass the horizontal line test?
Yes, y=x has an inverse.
Yes, y=x passes the horizontal line test.
If it didn't pass the horizontal line test, it would not have an inverse.
sarah gets pocket money every week from the age of 5 until her 21st birthday and is given a choice of 2 options options .
option 1:get the same number of pounds each week as her age.
option 2 : get 5 pounds a week aged 5 and increasing by 15% a year.
which option should Sara choose ?
please help
The option that Sarah should choose is option 2.
Which option should Sarah choose?
Sarah would choose the option that give her the higher amount of money at her 21st birthday.
The amount that Sarah would earn each year with option 1 would increase at a linear rate. This is because she gets the same amount of money each year.
The form of a linear equation is y = mx + b
Where:
m = slope b = interceptThe amount that Sarah would earn each year with option 2 would increase at an exponential rate.
The general form of exponential equation is f(x) = [tex]e^{x}[/tex]
Where:
x = the variable e = constantThe rate of growth with an exponential function is faster than that of a linear function. It is for this reason that option 2 is the better option.
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A car moves at a speed of 80km/h from P at 0800 hours and reaches Q at 0930 hours. A lorry takes the same route from Q at 0800 hours to P at a speed of 70km/h. At what time do both vehicles meet?
The vehicles will meet at 0845 at a distance of 64 km from P when they move at the respective speeds.
The car moves at a speed of 80km/h from P to Q and it takes time t
t = 9.30 - 8.00 = 1 hour 30 minutes or 1.5 hours
Distance covered = speed × time
Distance = 80 × 1.5 = 120 km
Now et the cars meets at a distance of x km from P.
times taken by the car to cover x km = x/80 hours
The lorry travels 120 - x in that same time.
time taken = 70/(120 - x)
Now the time taken must be equal.
Therefore we will form an equation to calculate x.
(120 - x) / 70 = x / 80
or, 960 - 8x = 7x
or, 15x = 960
or, x = 64
Therefore the cars will meet at 64 km from P.
Now time taken by the car to cover 64 km = 64/80 = 0.8 hours = 48 minutes
Hence the cars will meet at 0845 hours.
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Solve this system of equations using the SUBSTITUTION method, then answer the questions below.
x + 2y = 4
3x + 6y = 18
What did you get for the (x, y) solution to this system? If you were to graph these equations, would their lines cross? Explain why or why not.
The x and y do not have the values in the equation because both the equations don't intersect each other.
given that the equation,
x + 2y = 4 ..........i
3x + 6y = 18 ...........ii
now multiply i with 3 and subtract with from ii,
3x + 6y = 18
-(3x + 6y ) = 12
0x + 0y = 6
which is not possible so x and y do not have the values at the intersection of the both equations which states that both the equation do not intersect at each other.
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