Answer:
Step-by-step explanation:
the volume of a rectangle is length x width x height, so the volume of the first rectangle is 2700.
the square has a length and width of 15 with a missing height. because they have the same volume, you can plug in the length and width of the square with the volume of the prism to find the height
v = length x width x height
2700 = (15)(15)h
2700/225 = h
the height is 12
Answer the multiple choice first then the inequality
Answer:
8x+48>280
Step-by-step explanation:
first do your mom then do your dad
Please help!!! Timed test!! I want to double check that I'm right before I chose an option.
answer is c
sorry if incorrect
(12+34)×2.3= (talk to me please please please)
Answer:
90.2
Step-by-step explanation:
thx for the follow!!!
Answer:
105.8 is the answer
Step-by-step explanation:
105.8
GUYS PLS HELP MEEEE!!!
Answer:
Has an x-intercept of (0,0) and an increasing interval from (-2, infinite)
Create an expression with at least four numbers in two different operations that has a value of 12 (order of operations 8th grade)
Answer: (4x5) / 10 - 5 = 5
Step-by-step explanation: 20/10 = 10
10-5 = 5
Which relationships have a constant of proportionality equal to 25? Pick 2 answers
Answer:
B and C.
Step-by-step explanation:
If you divide the y value by the x value then it would be 25 for B and C. A and D do not work. A does not work because as you move along the graph 25 divided by 2 and anything higher is not 25. I hope this helps!!
Answer:
b and c
Step-by-step explanation:
because 75/3=25
125/5=25 and and you already have the graph!
Halle deposited $4000 into an account that earns 5% interest each year. the growth of her investment can be expressed by the exponential equation a = 4000(1 + 0.05)t , where a is the amount in the account after t years. in how many years will her account exceed $10,000?
After 18.8 years, Halle account exceed $10,000 if Halle deposited $4000 into an account that earns 5% interest, each year.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)
where a is a constant and a>1
We have an exponential equation:
\(\rm a = 4000(1+ 0.05)^t\)
Plug a = $10,000
\(\rm 10000 = 4000(1+ 0.05)^t\)
After calculating:
\(\rm 1.05^t= 2.5\)
t = 18.78 ≈ 18.8 years
Thus, after 18.8 years, Halle account exceed $10,000 if Halle deposited $4000 into an account that earns 5% interest each year.
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Find the measure of the indicated angle to the nearest degree.
A. 40
B. 57
C. 33
D. 50
Answer:
50(Option D)
Step-by-step explanation:
Trigonometry
Inverse trig for this
So we are given adjacent and opposite legs for this part. So tangent is used except because we are finding angle(tan^-1 is used) tan^-1 is not 1/tan
tan^-1(56/47)
We get 49.993744 and so on
So rounded to the nearest degree, that is 50.
Suppose that we want to estimate what proportions of all drivers exceed the legal speed limit on a certain stretch of road between Los Angeles and Bakersfield. Use the formula of the earlier exercise to determine how large a sample we will need to be at least 99 % confident that the resulting estimate, the sample proportion, is off by less than 0.04.
We need a sample size of at least 665 drivers to estimate the proportion of all drivers exceeding the legal speed limit on the certain stretch of road between Los Angeles and Bakersfield with a margin of error of 0.04 and a 99% confidence level.
To estimate the proportion of all drivers exceeding the legal speed limit on a certain stretch of road between Los Angeles and Bakersfield with a margin of error of 0.04 and a 99% confidence level, we need to use the following formula:
\(n = (Z^2 * p * (1 - p)) / E^2\)
where n is the sample size, Z is the Z-score for the desired confidence level (2.576 for 99% confidence level), p is the estimated proportion of drivers exceeding the speed limit (we don't have an estimate, so we'll use 0.5 for maximum variability), and E is the margin of error we want (0.04).
Plugging in the values, we get:
\(n = (2.576^2 * 0.5 * (1 - 0.5)) / 0.04^2\)
n = 664.92
Therefore, we need a sample size of at least 665 drivers to estimate the proportion of all drivers exceeding the legal speed limit on the certain stretch of road between Los Angeles and Bakersfield with a margin of error of 0.04 and a 99% confidence level.
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what is the mean to this
Sample #2
21 14 0 3 6
7 10 11 7 9
14 0 15 5 12
20 0 12 11 6
0 21 14 0 6
Answer:
44.8
Step-by-step explanation:
What is the probability of a number less than 4 showing when a number cube is rolled?
Answer:
50 percent
Step-by-step explanation:
Answer: there is a 50% chance
Step-by-step explanation:
there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2
GEOMETRY!I will mark the BRAINIEST!!!
Answer:
C. 4
Step-by-step explanation:
Writing an equation of a hyperbola given the Foci and asymptotes
Hello there. To solve this question, we'll have to remember some properties about foci and asymptotes of hyperbolas.
First, the equation for a hyperbola with real axis a and imaginary axis b is:
\(\dfrac{(x-x_0)^2}{a^2}-\dfrac{(y-y_0)^2}{b^2}=1\)centered at (x0, y0) and axis of symmetry being the x-axis.
The asymptotes are given by the equations:
\(y=\pm\dfrac{b}{a}x\)The relationship between a, b (the real and imaginary axis) and the value c (that stands for the coordinates of the foci)
\((-c,0)\text{ and }(c,0)\)for hyperbolas is:
\(c^2=a^2+b^2\)From the equation of the asymptotes, we find that:
\(\begin{gathered} \dfrac{b}{a}x=7x \\ \\ \dfrac{b}{a}=7\Rightarrow b=7a \end{gathered}\)Hence we get:
\(c^2=a^2+(7a)^2=a^2+49a^2=50a^2\)And from the coordinates of the foci, we get
\(c=10\)Hence
\(\begin{gathered} 10^2=50a^2 \\ 100=50a^2 \\ a^2=\frac{100}{50}=2\Rightarrow a=\sqrt{2} \end{gathered}\)Then from the relation with b, we get
\(b=7a=7\sqrt{2}\)Finally, the center is the midpoint between the foci. In this case, we get:
\(\begin{gathered} x_{center}=\dfrac{-10+10}{2}=0 \\ \\ y_{center}=\dfrac{0+0}{2}=0 \end{gathered}\)So we say the center is at the origin, or (x0, y0) = (0, 0).
Then we find the equation of the hyperbola:
\(\dfrac{x^2}{2}-\dfrac{y^2}{98}=1\)And with a software, you can see this is the right answer (see the following image:)
This is the answer to this question.
Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.
Step-by-step explanation:
v = u + at
v-u = at
a = (v -u)/t
When t = 4, u=10, v=50
a = (50-10)/4
a= 40/4
a = 10
HELP ME IM TERRIBLE AT THIS
Answer:
a. $14.50
b. $43.5
Step-by-step explanation:
a. $7.00 + $7.50 = $14.50
b. y = 14.5x x=3
y = $14.5 x 3 = $43.5
7w + 6 + 2w = _ (w + 2)
Answer:
7(-1/2 +2) = -6(2(-1/2) -1) +3(-1/2)
7(3/2) = -6(-2) -3/2
21/2 = 12 -3/2 . . . . . true, answer checks OK
Step-by-step explanation:
Use the distributive property to rewrite the algebraic expression below
9 (r+12)
Answer:
9r+108
Step-by-step explanation:
9 times r, 9 times 12.
9r+ 12 times 9 equals 9r+108
I've been waiting to order your cupcakes all day!
I'll have 4 Nom-Nom-Nom cupcakes -- that's
80% of my order. The rest of the order are Wow.
Using fraction, the total number of cupcakes is obtained to be 5.
What is fraction?
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
If 4 cupcakes represent 80% of the order, then we can use proportional reasoning to find the total number of cupcakes.
Specifically, if x is the total number of cupcakes, then we can write -
4/x = 80/100
where the left-hand side represents the fraction of the order that is Nom-Nom-Nom cupcakes, and the right-hand side represents the percentage of the order that is Nom-Nom-Nom cupcakes.
Solving for x, we get -
x = 4 / (80/100) = 5
So the total number of cupcakes is 5. Since 4 of them are Nom-Nom-Nom cupcakes, the remaining 1 cupcake must be a Wow cupcake.
Therefore, in total there are 5 cupcakes.
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I've been waiting to order your cupcakes all day! I'll have 4 Nom-Nom-Nom cupcakes -- that's 80% of my order. The rest of the order are Wow.
Find the total number of cupcakes.
22+8p<=60 pls help me I am been timed.
Answer:
p<=4.5
Step-by-step explanation:
Answer:
p<19/4
Step-by-step explanation:
my aunt did this she got all of it right she is top of math class
Hope this helps
Using the partial fractions technique, the function f(x) = 68x+168/ x^2+2x-24 can be written as a sum of partial fractions
We can express f(x) as a sum of partial fractions as: f(x) = (-10 / (x + 6)) + (78 / (x - 4))
To write the function f(x) = \((68x + 168) / (x^2 + 2x - 24)\) as a sum of partial fractions, we first need to factor the denominator:
\(x^2 + 2x - 24 = (x + 6)(x - 4)\)
So we can write:
f(x) = (68x + 168) / ((x + 6)(x - 4))
Now we can use the method of partial fractions to express f(x) as a sum of simpler fractions:
f(x) = A / (x + 6) + B / (x - 4)
where A and B are constants that we need to find. To do this, we can multiply both sides of the equation by the common denominator (x + 6)(x - 4):
(68x + 168) = A(x - 4) + B(x + 6)
Expanding and collecting like terms, we get:
68x + 168 = (A + B) x + (6B - 4A)
Since this equation holds for all values of x, we can equate the coefficients of x and the constant terms separately:
68 = A + B
168 = 6B - 4A
Solving these two equations simultaneously, we get:
A = -10
B = 78
Therefore, we can express f(x) as a sum of partial fractions as:
f(x) = (-10 / (x + 6)) + (78 / (x - 4))
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rectangular prism 4 units and 2 1/8 units2
Answer:
17/2 units^3
Explanation:
The volume of the rectangular prism is given by
Volume = width * height* length
Now we are already given that
width * height = 2 1/8 units
Therefore, our equation for volume becomes
Volume = 2 1/ 8* length
since length = 4 units, we have
Volume = 2 1/8 * 4
Volume = 17 /2 units
which is our answer!
If * = 8 units, y= 13 units, and h= 11 units, then what is the area of the parallelogram shown above?
The area of the figure shown below is equivalent to 88 square units.
Properties of a parallelogramA parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry.
The opposite sides of a parallelogram are congruent and the sum of their adjacent side is equivalent to 180 degrees.
The formula for calculating the area of a parallelogram is expressed as;
Area = length * breadth
Area = x * h
Area = 8 * 11
Area = 88 square units
Hence the area of the parallelogram above is 88 square units.
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71, X
The symbol U represents the union of two sets. What do you think the
notation represents?
6x + 8y = -2 -5x - 7y = 1
Answer: Solution = (- 3, 2)
Explanation:
The system of equations is
6x + 8y = -2
-5x - 7y = 1
We would eliminate x. The first step is to multiply equation 1 by 5 and equation 2 by 6. We have
30x + 40y = - 10
- 30x - 42y = 6
By adding both equations, we have
30x + - 30x + 40y + - 42y = - 10 + 6
30x - 30x + 40y - 42y = - 4
- 2y = - 4
Dividing both sides by - 2,
- 2y/- 2 = - 4/- 2
y = 2
Substitu4ing y = 2 into equation 1, we hav
6x + 8 * 2 = -2
6x + 16 = - 2
Subtracting 16 from bth sides,
6x + 16 - 16 = - 2 - 16
6x = - 18
Dividing both sides by 6,
6x/6 = - 18/6
x = - 3
Solution = (- 3, 2)
Please helppppppp!!!!!!!!!!!!
Answer:
give me more points then i will tell you the answer
Select the correct answer.
The members of the Malone family have been reading fiction and nonfiction books over the summer. So far in June and July, they have read books both in paper copies and electronically, as shown in the given tables.
June
Paper Digital
Fiction 7 1
Nonfiction 2 6
July
Paper Digital
Fiction 4 3
Nonfiction 6 1
Which matrix equation could the Malones use to show the total books they’ve read of each different type so far this summer?
The matrix equation that could show the total books is \(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)
How to determine the matrix equation?The given parameters are the two-way tables attached to the question.
From the tables, we have the following matrices
\(June = \left[\begin{array}{cc}7&1\\2&6\end{array}\right]\)
\(July = \left[\begin{array}{cc}4&3\\6&1\end{array}\right]\)
The sum of these matrices is represented as:
June + July = Total
So, we have:
\(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right]\)
Add the elements at corresponding positions
\(\left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)
Hence, the matrix equation is \(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)
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I need help with this please ASAP people keep on skipping I need help
Answer:
To create a line plot for this data, we can first convert all the fractions to a common denominator, such as eighths:
Monday: 6/8 of an hour
Wednesday: 4/8 of an hour
Friday: 2/8 of an hour
Sunday: 4/8 of an hour
Then, we can draw a number line with tick marks representing each day of the week and plot a dot for each amount of time spent working out:
0 1 2 3 4
|---------|---------|---------|---------| <- Number line
. .
. .
. .
. .
To find out how much time June should work out each day to spend an even amount of time working out, we can first find the total amount of time she spent working out:
6/8 + 4/8 + 2/8 + 4/8 = 16/8 = 2 hours
Since there are four days she worked out, to find out how much time she should work out each day, we can divide the total time by four:
2 hours ÷ 4 = 0.5 hours
Therefore, June should work out for 0.5 hours, or 30 minutes, each day to spend an even amount of time working out.
Find the probability that the child spends less than 1 hour per day unsupervised. Write the probability statement. p( x >x=0.60 Your answer cannot be understood or graded. More Information What is the probability? (Round your answer to four decimal places.) 2.55 Part (d) What percent of the children spend over 10 hours per day unsupervised? (Round your answer to four decimal places) 51 X % Part (e) 60% of the children spend at least how long per day unsupervised? (Round your answer to two decimal places.) 2.88 1x hours The length of time it takes to find a parking space at 9 A.M. follows normal distribution with a meandmines and standard de Eighty percent of the time, it takes more than how many minutes to find a parking space? (Round your answer to two decimal places 6.82 x min Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.8 hours and the amount of time spent alone is normally distributed. We randomly survey one 4-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.
The probability that the child spends less than 1 hour per day unsupervised is approximately 0.1335.
To find the probability that the child spends less than 1 hour per day unsupervised, we can use the normal distribution and the given mean and standard deviation.
Given:
Mean (μ) = 3 hours
Standard Deviation (σ) = 1.8 hours
We want to find the probability that the child spends less than 1 hour per day unsupervised, which is equivalent to finding the area under the normal distribution curve to the left of 1 hour.
Using the Z-score formula:
Z = (x - μ) / σ
Substituting the values:
Z = (1 - 3) / 1.8
Z = -1.11
Now, we can use a Z-table or a calculator to find the probability associated with the Z-score of -1.11. The probability can be found as the area to the left of the Z-score.
Looking up the Z-score of -1.11 in the Z-table, we find the corresponding probability to be 0.1335.
So, the probability that the child spends less than 1 hour per day unsupervised is approximately 0.1335.
The probability statement is: p(x < 1) = 0.1335.
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Which density is expressed correctly to three significant figures?.
Therefore, the correct expression of the density, rounded to three significant figures, would be 2.46 g/cm³.
To express a density value to three significant figures, you need to consider the number of significant figures in the given data or measurement.
For example, if the given data or measurement has four significant figures, you would round the density value to three significant figures.
Let's consider an example:
Suppose the density of a substance is measured as 2.456 grams per cubic centimeter (g/cm³). To express this density value to three significant figures, you would round it to the nearest thousandth:
2.456 g/cm³ rounded to three significant figures is 2.46 g/cm³.
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hii pls help i’ll give brainliest if you give a correct answer tysm
Answer:
Equations ; 1, 3 , 5 and 6 are correct
Step-by-step explanation:
From the question, we are told that 2 1/2 feet is 5/8 of the height of the tower to be built
Now, we want to get the equation for the height of the tower
we have this as follows;
since we do not know the height of the tower, we can represent it by ?
a. 5/8 of ? = 2 1/2
b. 2 1/2 divided by ? = 5/8
c. 2 1/2 • 8/5 = ?
d. 2 1/2 divided by 5/8 = ?