Lisa is packing a set of cubic inch blocks into the box shown below How many blocks will fit in the box8 in.5 in.3 in.A.16B. 32C. 120D. 180
Answers
Answer:
120 Blocks or letter C
Step-by-step explanation:
I did 8x5x3, because lxwxh so i got 120
Related Questions
Expand the expressions and simplify.
5(x + 4) + 3(x + 2) =
O
O
8x + 4
6x + 18
8x+ 26
7x - 18
Answers
Answer:
8x + 26
Step-by-step explanation:
Your aim is to get rid of the brackets...so do this
5(x + 4) + 3(x + 2)
5x + 20 + 3x + 6
5x + 3x + 20 + 6
8x + 26
hope this helps!
State whether the following statement is true or false, and explain why. If the statement is false, state the true change.
If the price of avocados increases by 30% for four consecutive months, then the price of avocados increased by 120% over the four-month period.
Choose the correct answer below and fill in the answer box to complete your choice.
The statement is true because 4×30%=120%4×30%=120%.
The statement is false because each year there is a different reference value.
What percentage did the avocados increase by?
functions
equation editor
% (round to a tenth of a percent)
Answers
The statement is true because 4 × 30%=120
How to solve if the statement is trueIn the first month, the price of the avocado is said to have been raised by 30 percent.
While already raised by 30 percent, another 30 percent raise would make the increase to be 60 percent.
While is at 60 percent, the third month the raise would be = 90 percent because 30 * 3 = 90
Then at 90 percent if there is another raise of 30 percent, the increase would grow to be 120 percent.
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Answers
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
what is the slope line that passes through (-2,3) and 5,8)
Answers
Answer:
The correct answer is \(\frac{5}{7}\)
Step-by-step explanation:
Hope this helps:) Goodluck!
Does the limit exists? What’s the value if it does exist?Calculus early transcendental functions
Answers
Answer
\(\text{The value is -}\frac{1}{3}\)Given
\(\lim _{x\to\infty}\frac{2x^2(x-3)}{3x^2(1-2x)}\)Solution
Let take the common factor first
\(\frac{2}{3}\lim _{x\to\infty}\frac{x^2(x-3)}{x^2(1-2x)}\)Let's apply algebraic property:
\(a+b=a(1+\frac{b}{a})\)\(\begin{gathered} \frac{2}{3}.\lim _{x\to\infty}\frac{x^2(x-3)}{x^2(1-2x)} \\ \\ \frac{2}{3}.\lim _{x\to\infty}\frac{x^2x(1-\frac{3}{x})}{x^2x(\frac{1}{x}-2)} \\ \\ x^2x\text{ can divide each other } \\ \\ \frac{2}{3}.\lim _{x\to\infty}\frac{(1-\frac{3}{x})}{(\frac{1}{x}-2)} \end{gathered}\)Let take the limit of the numerator
\(\begin{gathered} \lim _{x\to\infty}(1-\frac{3}{x})=1 \\ \end{gathered}\)Also take the limit of the denominator
\(\lim _{x\to\infty}(\frac{1}{x}-2)=-2\)\(we\text{ now have }\frac{1}{-2}\)Now, let not forget the common factor outside
\(\frac{2}{3}.\frac{1}{-2}=\frac{2}{-6}=-\frac{1}{3}\)So therefore, the Limit exist and the value is
\(-\frac{1}{3}\)Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)
Answers
Answer:
\(f_x(x,y,z)=4\sin (y-z)\)
\(f_x(x,y,z)=4x\cos (y-z)\)
\(f_z(x,y,z)=-4x\cos (y-z)\)
Step-by-step explanation:
The given function is
\(f(x,y,z)=4x\sin (y-z)\)
We need to find first partial derivatives of the function.
Differentiate partially w.r.t. x and y, z are constants.
\(f_x(x,y,z)=4(1)\sin (y-z)\)
\(f_x(x,y,z)=4\sin (y-z)\)
Differentiate partially w.r.t. y and x, z are constants.
\(f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)\)
\(f_y(x,y,z)=4x\cos (y-z)\)
Differentiate partially w.r.t. z and x, y are constants.
\(f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)\)
\(f_z(x,y,z)=4x\cos (y-z)(-1)\)
\(f_z(x,y,z)=-4x\cos (y-z)\)
Therefore, the first partial derivatives of the function are \(f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)\).
find the product of the monomial -2x³ with the binomial 4x²-2
Answers
Answer:
when multiplied, -2x³ and 4x² - 2 come out as -8x⁵ + 4x³
Step-by-step explanation:
\(-2x^3(4x^2 - 2)\\= -2x^3 \times 4x^2 +2 \times 2x^3\\= -8x^5 + 4x^3\)
A study of a local high school tried to determine the mean amount of money that each
student had saved. The study surveyed a random sample of 69 students in the high
school and found a mean savings of 5000 dollars with a standard deviation of 1400
dollars. At the 95% confidence level, find the margin of error for the mean, rounding
to the nearest whole number. (Do not write ).
Answers
Using the t-distribution, it is found that the margin of error for the 95% confidence interval is of $336.
What is a t-distribution confidence interval?The confidence interval is:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The margin of error is given by:
\(M = t\frac{s}{\sqrt{n}}\)
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 69 - 1 = 68 df, is t = 1.9955.
The standard deviation and sample size are given, respectively, by:
s = 1400, n = 69.
Hence, the margin of error in dollars is given by:
\(M = t\frac{s}{\sqrt{n}}\)
\(M = 1.9955\frac{1400}{\sqrt{69}}\)
M = 336.
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I need help on this geometry thing someone plz hell
Answers
Answer:
Step-by-step explanation:
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′: Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D 2, 5, at E 5, 5, at F 6, 3, at G 5, 1, at H 2, 1, at I 1, 3, at D prime negative 6, negative 2, at E prime negative 3, negative 2, at F prime negative 2, negative 4, at G prime negative 3, negative 6, at H prime negative 6, negative 6, at I prime negative 7, negative 4
Answers
Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.
In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.
For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.
To find the image of point E under this translation, you can apply the same translation to point E:
Point E is located at (5, 5).
The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).
You can follow the same process to find the images of the other points under the translation.
Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.
In this case, the translation vector is given by the displacement from point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).
To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:
Point E is located at (5, 5).
The translation vector is (-8, -7).
The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).
You can follow the same process to find the images of the other points under the translation.
Step-by-step explanation:
Not sure on this question
Answers
Answer:
It will take 250 seconds for 30 liters to pass through the pipe.
Step-by-step explanation:
Let's use just the units only to help us set up and equation.
liters/sec × sec = liters
This works. Fill in the numbers we know.
.12 l/sec × ?sec = 30liters
Use a real variable and let's leave off the units so we can write an neater equation to solve.
.12 l/sec × x sec = 30liters
.12x = 30
That's a good equation. Divide by .12 to solve.
x = 30/.12
x = 250
Remember x was seconds. We were asked to find the seconds.
It will take 250 seconds for 30 liters to pass through the pipe.
(In case they ask later, that's 4minutes and 10 seconds)
4) f(m)= 4(m + 2) – 3
Answers
Answer:
STEP
1
:
Equation at the end of step 1
fm - (4 • (m + 2) - 3) = 0
STEP
2
:
Equation at the end of step 2
fm - 4m - 5 = 0
Cliff takes out a $5,000 personal loan with 7
fixed annual interest compounded monthly to pay for his wedding. He repays the loan in 2 year.s
How much total interest does Cliff pay on his loan?
Answers
Cliff pays a total interest of approximately $679.90 on his $5,000 loan.
To calculate the total interest paid on the loan, we need to use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the final amount (loan amount + interest)
P is the principal (loan amount)
r is the annual interest rate (in decimal form)
n is the number of times interest is compounded per year
t is the number of years
Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:
P = $5,000
r = 7% = 0.07
n = 12 (monthly compounding)
t = 2 years
\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)
Calculating this expression:
A ≈ 5000\((1.00583)^{(24)\)
A ≈ 5000(1.13598)
A ≈ 5679.90
The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):
Total Interest = A - P
Total Interest = 5679.90 - 5000
Total Interest ≈ $679.90
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A guitarist sets a goal to practice 200 minutes each week. If he only is going to practice 5 days during the week, which of the following amounts of average daily practice will allow him to reach his goal?
Answers
Answer:
40
Step-by-step explanation:
40x5=200
200 divided by 5 =40
Someone please explain to me how I go about to find this answer. My daughter is having trouble and her algebra 1 teacher ia no help!!!!
Answers
Answer:
3/4
Step-by-step explanation:
do you need a deep explanation? or just a quick one?
Answer: the slope is 4/3
Explanation :
1) pick 2 points on the graph. I picked ( 30, 20) and (60,60)
2) to find m, we do rise over run. Y is the rise and x is the run.
3) subtract the y exponents from eachother over the x exponents.
4) Do this : 60-20/ 60-30 . After solving, you should get 4/3.
5) good luck
PLEASE HELP! (PRE CALC)
Jacy keeps track of the amount of average monthly rainfall in her hometown. She determines that the average monthly rainfall can be modeled by the function ...where ...represents the average monthly rainfall in centimeters and ... represents how many months have passed. If ... represents the average rainfall in July, in which months does Jacy’s hometown get at least 10.5 centimeters of rainfall? Show all of your algebraic reasoning to support your final answer.
Answers
Answer:
he months where Jacy's hometown gets at least 10.5 centimeters of rainfall are July (x = 7) and all the months after July, which are August (x = 8), September (x = 9), October (x = 10), November (x = 11), and December (x = 12).
Step-by-step explanation:
The given function is:
f(x) = 0.2x^2 - 1.8x + 6.5
where x represents the number of months passed and f(x) represents the average monthly rainfall in centimeters.
To find the months where the average rainfall is at least 10.5 centimeters, we need to set the function f(x) greater than or equal to 10.5 and solve for x:
0.2x^2 - 1.8x + 6.5 ≥ 10.5
0.2x^2 - 1.8x - 4 ≥ 0
Multiplying both sides by 5, we get:
x^2 - 9x - 20 ≥ 0
We can factor the left-hand side of the inequality as:
(x - 5)(x - 4) ≥ 0
The solution to this inequality is the set of values of x that make the inequality true. This includes the intervals where:
(x - 5) ≥ 0 and (x - 4) ≥ 0, which gives x ≥ 5
OR
(x - 5) ≤ 0 and (x - 4) ≤ 0, which gives x ≤ 4
Thus, the months where Jacy's hometown gets at least 10.5 centimeters of rainfall are July (x = 7) and all the months after July, which are August (x = 8), September (x = 9), October (x = 10), November (x = 11), and December (x = 12).
Jacy's hometown gets at least 10.5 centimeters of rainfall in the months of September, September of the following year, September of the year after that, and so on.
What is inequality?
An inequality is a relation between two numbers or expressions that are not equal.
It can show which of them is greater or smaller by using symbols like < or >. It can also be a statement of fact about the order relationship of quantities.
According to the question given,
We need to solve the inequality:
A(t) ≥ 10.5
Substituting the given function, we get:
2.3sin(π/6)t ≥ 10.5
sin(π/6)t ≥ 4.57.
Since the sine function has a maximum value of 1, the inequality is only satisfied when:
sin(π/6)t = 1
Solving for t, we get:
π/6t = π/2 + 2πk or π/6t = 3π/2 + 2πk
where k is any integer.
Simplifying each equation, we get:
t = 3 + 12k or t = 9 + 12k, where k is any integer.
Therefore, the only solution is given by:
t = 9 + 12k
where k is any integer.
Hence, Jacy's hometown gets at least 10.5 centimeters of rainfall in the months of September, September of the following year, September of the year after that, and so on.
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Answer 5x + 8 − 3x = −10
Answers
Answer:
-9
Step-by-step explanation:
5x+8-3x = -10
Combine like terms
2x+8 = -10
Subtract 8 to both sides
2x = -18
Divide both sides by 2
x = -9
Answer:
-9
Step-by-step explanation:
5x + 8 - 3x = -10
Combine like terms
2x + 8 = -10
Subtract 8 to both sides
2x = -18
Divide both sides by 2
x = -9
Two book weight together 1/2 whole 12 kg . the weight of one book is 6 whole 3/4.what is the weight of second book
Answers
the weight of the second book will be 5.75 kg.
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
Two book weigh together 1/2 whole 12 kg .
the weight of one book is 6 whole 3/4.
total weight of 2 books= 12 1/2kg means = 1kg=1000gm. 6 3/4kg = 3000 + 250gm (250gm= 1/4 kg) .
first book weight= 12.5 kg
second book weight= total weight -first book weight.
second book weight = 12.5-6.75 = 5.75 kg.
Hence the weight of the second book will be 5.75 kg.
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How to calculate volume of a rectangular prism
Answers
Calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height.
Calculating the volume of a rectangular prism is a straightforward process. A rectangular prism is a three-dimensional shape that has a length, width, and height. To find its volume, you simply multiply the length by the width by the height. The formula for calculating the volume of a rectangular prism is:
Volume = length x width x height
For example, if a rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm, its volume would be:
Volume = 5 cm x 4 cm x 3 cm
Volume = 60 cubic centimeters (cm³)
It's important to ensure that all measurements are in the same unit before calculating the volume. For instance, if the length is in meters and the width and height are in centimeters, you would need to convert the length to centimeters to ensure that all measurements are in the same unit before calculating the volume.
In conclusion, calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height. This formula can be used for any rectangular prism regardless of its size or shape.
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A loan is being paid off by payments of 1,000, 2,000, ..., 10,000 at the end of years 1, 2, ..., 10.
The effective annual interest rate is 18%.
Determine the amount of interest in the 7th payment.
Answers
Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.
We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000
At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.
For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals
1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000
For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2
For the seventh payment (end of year 7), the present value is:
7,000 x [(1 - (1 + r)-7) / r]
which equals
7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7
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What value of b makes the equation true?
-6(b+3)=-8b+5
Answers
- 6 (b + 3)= - 8 + 5
- 6b - 18= - 3
- 6b= - 3 + 18
- 6b= 15
b= - 15/6
b= - 5/2
6/5 pls help as fast as possible
Answers
Answer: 6 divided by 5 is 1.2
Step-by-step explanation: I used Siri lol
Answer:
1.2 in decimal form. equivalent form-12/10. i really dont know what your asking. so i hope this is what you wanted.
Step-by-step explanation:
I need help
I need help
I need help
I need help
I need help
I need help
I need help
Answers
The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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Nora is going to earn $300 from her summer job. Combined with her savings, Nora will then have $1,500 toward her music school. How much money does Nora have in her savings?
Answers
Answer:
1200
Step-by-step explanation:
1,500-300=1200
please help me I will give a brainlist
Answers
Answer:
(-7, 31)
Step-by-step explanation:
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
Answers
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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Use the image to answer the question.
2
1
0
-1.2
What does the absolute value of the point labeled in the image mean if the number line represents temperature change?
O The temperature decreased 1.2 degrees.
O The temperature increased 1.2 degrees.
O There was no change in temperature.
Question 1(Answered)
L
Answers
The meaning of the absolute value in this problem is given as follows:
The temperature decreased 1.2 degrees.
What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.
The number for this problem is -1.2, hence:
As the number is negative, the temperature decreased.|-1.2| = 1.2.More can be learned about the absolute value of a number at https://brainly.com/question/24368848
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Can you help with this question.
Answers
Answer:
29.04+179×180°
29.04+32220
32249.04
The Language Arts department conducts a study to see if the number of books a student reads per month affects the score on the SAT Verbal Test. Here is the data that the Language Arts department collected for 8 students. Create the scatter plot for this data set. What is the equation of the line of best fit?
Answers
A scatter plot visually represents the relationship between two variables. It shows a positive correlation between the number of books read per month and SAT Verbal Test scores, with the equation y = 6.4828x + 520.6962.
A scatter plot is a graphical representation of a set of data that allows the observer to observe the relationship between two variables. It is used to graphically display how one variable is affected by the other. It is a chart of data points plotted on a two-dimensional graph with one variable represented on the X-axis and the other variable on the Y-axis.
Scatter Plot of the Data: From the data provided by the Language Arts department, we can create the scatter plot as shown below:
Equation of the line of best fit: The line of best fit is a straight line that is used to model the relationship between the two variables. It is determined by minimizing the sum of the squares of the differences between the observed values and the predicted values.
From the scatter plot, we can see that there is a positive correlation between the number of books read per month and the score on the SAT Verbal Test. This suggests that the more books a student reads per month, the higher their score on the SAT Verbal Test.
The equation of the line of best fit for the given data set is y = 6.4828x + 520.6962. Here, y represents the score on the SAT Verbal Test and x represents the number of books read per month.
To find the equation of the line of best fit, we can use a regression analysis tool such as Excel. The regression analysis will give us the values of the slope and intercept of the line of best fit, which we can use to write the equation of the line.
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Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
Answers
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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