Total surface area = 62 cm square units
Given:
length = 7cm
width = 1cm
height = ?
Volume = 21 cm^cubic
The total surface area = 2(length x width + width x height + length x height) square units...........eq 1
The volume of the cuboid = length x width x height............eq 2
using equation 2, we find the height of a cuboid ,
Volume = length x width x height
21 = 7 x 1 x height
21/7 = height
height = 3cm
Using equation 1
Total surface area = 2( 7x1 + 1x3 + 7x3)
Total surface area = 62 cm square units
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Expand and simplify 4(2x + 3) + 4(3x + 2)
Answer:
20(x+1) if you want factorisation or 20x+20
Step-by-step explanation:
Expanded it is 8x+12+12x+8=20x+20
Then factorise ir it by taking 20 out
Answer:
20x + 20
Step-by-step explanation:
Given
4(2x + 3) + 4(3x + 2) ← distribute both parenthesis
= 8x + 12 + 12x + 8 ← collect like terms
= 20x + 20
Sketch the following and then find the sum of the vertex
angles.
a. A hexagon
b. An octagon
c. A dodecagon.
To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.
a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.
b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.
c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.
Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.
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Find the sum of the vertex angles of the following polygons---
a. A hexagon
b. An octagon
c. A dodecagon.
if we compute a 95onfidence interval 12.65 ≤ μ ≤ 25.65 , then we can conclude that.
Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.
A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.
Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.
The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.
Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.
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A policy analyst would like to predict salary from a set of four predictor variables for a sample of 45 athletic trainers. A multiple linear regression analysis was conducted. Complete the following ANOVA summary table for the test of significance of the overall regression model. Except for the P-value, report all answers accurate to 3 decimal places; report the P-value accurate to 4 decimal places. Use a significance level of α=0.05.
Source SS df MS F P-value
Regression 20
Residual 400
TOTAL
What is your decision for the hypothesis test?
Reject the null hypothesis, H0:β1=β2=...=β4=0
Fail to reject H0
What is your final conclusion?
The evidence supports the claim that one or more of the regression coefficients is non-zero
The evidence supports the claim that all of the regression coefficients are zero
There is insufficient evidence to support the claim that at least one of the regression coefficients is non-zero
There is insufficient evidence to support the claim that all of the regression coefficients are equal to zero
To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.
From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.
Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.
Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:
df for regression = k - 1 = 4 - 1 = 3
df for residual = n - k = 45 - 4 = 41
Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.
MS for regression = SS for regression / df for regression = 20 / 3
MS for residual = SS for residual / df for residual = 400 / 41
Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.
F = (MS for regression) / (MS for residual)
Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.
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Which Of the following could be the ratio between Of the two legs Of a 30-60-90 triangle? (Apex Quiz)
The ratio of the two legs of the triangle 30-90-60 will be 1 : √3.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
The triangle is 30-90-60. The ratio of the two legs will be calculated as,
tan(30) = AB / BC
1 / √3 = AB / BC
Hence, the ratio of the two legs will be 1 : √3.
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Find the whole if the part is 69 and the percent is 12.
Answer:
575
Step-by-step explanation:
if 69 = 12% then find what is 1%
69 / 12 = 5.75 = 1%
To get 100% :
5.75 x 100
:. 575 is the whole number
The whole of the given parameters part and percentage is gotten as; 575
How to solve fractions?We are given;
Part = 69
Percentage = 12%
Let the whole be x. Thus;
69/x * 100 = 12
This can be simplified by using multiplication property of equality to get;
x = 6900/12
x = 575
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HURRY FAST I NEED DIS NOW PLS
Answer:
both are 24in ^2
Step-by-step explanation:
Answer:
Both are 24in^2
vana cha mathi ko vai la so hola lacha
Please answer both!
36) what is the area of a parallelogram having a base of 2Qft and height as 6/F
37) what is the area of a trapezoid having bases of 2ft and 6ft, and height of 12/jf
Answer:
36)12(37)0.67
Step-by-step explanation:
36)A=base×height
A=2×6
A=12
37)A=a+b/2h
A=2+6/12
A=8/12
A=0.67
What did I do wrong? (#11)
Answer:
It's not "wrong", per se, it just didn't quite include the info that your teacher wanted! I personally would have said "Rotate 180 degrees about F", so I think that may be it.
Let me know if this helped by hitting the thanks button/marking brainliest! If not, please comment and I'll get back to you ASAP.
A company manufactures and sells two model of lamps, L1 and L2.
Answer:
Step-by-step explanation:
A firm manufactures two types of products, A and B, and sells them at a profit of 3 per unit to type B product and 5 per unit of type A product. Both products are processed on two machines M1and M2 One unit of type A requires one minute of processing time on M1 and two minutes of processing time on M2i whereas one unit of type B requires one minute of processing time on M1 and one minute on M Machines sells them at a profit of 5 per unit of type A and M, and M, are respectively available for at most 5 hours and 6 hours in a day. Find out how many units of each type of product the firm should produce a day in order to maximize the profit. Solve the problem
As I can do it I have given u
Please mark me as brainlist
1.) Find the distance between F( 5, - 2 ) and A( -1, 4)
Answer:
8.49 units
Step-by-step explanation:
1. The distance formula is: \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
2. Let's plug in the numbers: \(\sqrt{(-1-5)^{2} +(4--2)^{2} }\)
3. \(\sqrt{(-6)^{2} +(6)^{2} }\)
4. \(\sqrt{36 + 36}\)
5. \(\sqrt{72}\) ≈ 8.485
When Lisa started at her current job, her employer gave her 2 days of paid
vacation time with a promise of 3 additional paid vacation days for each year
she remains with the company to a maximum of 4 workweeks of paid vacation
time. The equation y=3x+2 (where y represents numbers of vacation days and
x represents number of years) models this relationship.
a. It has been 5 years since Lisa began working for this employer. How many
paid vacation days has she earned?
b. When will she reach the maximum number of paid vacation days allowed?
a. The equation computed shows that the number of paid vacation days has she earned will be 17 days.
b. The time when she will reach the maximum number of paid vacation days allowed is 6 years.
How to compute the equation?a. The equation computed shows that the number of paid vacation days has she earned will be:
= 2 + 3x
x = 5
= 2 + 3(5)
= 2 + 15
= 17 days.
b. The maximum number of days for a pod vacation will be:
= 4 × 5
= 20 days.
The time when she will reach the maximum number of paid vacation days allowed will be:
20 = 3x + 2
3x = 20 - 2.
3x = 18
x = 18/3
x = 6 years
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I need help please help me
Answer:
A, B and D
Step-by-step explanation:
The zeros of f(x) are the points located on the x- axis, that is where y = 0
We can check which ones are the solutions by finding the zeros of f(x)
To find the zeros let f(x) = 0 , that is
(x² + 2x - 8)(x - 6) = 0 ← factorise the quadratic
(x + 4)(x - 2)(x - 6) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
x - 6 = 0 ⇒ x = 6
There are 3 zeros at x = - 4, x = 2, x = 6
These are located at A, B and D
Answer:
A, D, B
Step-by-step explanation:
The roots (zeroes) are the x values where the graph intersects the x-axis. To find the roots(zeroes), replace y with 0 and solve for x.
What is the sum of (4x2+5x – 12) + (7x2 – 6x + 7)?
orthogonal complement is orthogonality, and find the direct sum s ⊕ s orthogonality.
Therefore, to determine the direct sum S ⊕ S' with orthogonality, you need to ensure that every vector in S is orthogonal to every vector in S', and vice versa. If this condition holds true, you can conclude that S ⊕ S' is an orthogonal direct sum.
The orthogonal complement of a subspace is a concept in linear algebra that represents the set of all vectors in the vector space that are orthogonal (perpendicular) to every vector in the given subspace. To find the direct sum S ⊕ S' of two subspaces S and S', the subspaces S and S' must be orthogonal to each other. In other words, every vector in S must be orthogonal to every vector in S', and vice versa.
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How fast was a plane flying if it traveled 400 mile in 0.5 hours
I NEED HELP ASAP PLZZZZ
Step-by-step explanation:
We just subsitue 3 for x and -4 for y, so we get
\(3(3) - 5( - 4) = 9 + 20 = 29\)
So
\(a = 29\)
\(7(3) + ( - 4) = b\)
\(21 - 4 = 17\)
\(b = 17\)
Suzie went to a candy shop. The candy shop has a sign that shows the cost of the candies at the shop. The sign is below:
Suzie bought 2 Snickers, 3 Skittles, and 5 Reese's Pieces. If she paid $20 to the shop, how much change would she get back?
Candy Cost per candy (in dollars)
Snickers 0.75
Skittles 1.00
Reese's Pieces 1.40
Answer:
$8.50
Step-by-step explanation:
Multiply the cost by the amount of candy she bought, your equation will look like this:
2(0.75) + 3(1) + 5(1.40)
Multiplying everything makes the equation into:
1.5 + 3 + 7
Adding everything makes the total cost 11.50.
Subtract 11.50 from 20, and the answer is 8.50
Draw a sketch of y = x2 - x - 3for values of x in the domain -3 <=x<= 3. Write down the coordinates of the turning point in your solution. Hence, from your sketch, find approximate solutions to:x2 – X – 3 = 0.
The sketch of the function y = \(x^{2}\) - x - 3 for -3 <= x <= 3 reveals a parabolic curve that opens upwards. The turning point of the parabola, also known as the vertex, can be identified as (-0.5, -3.25).
To sketch the graph of y = \(x^{2}\) - x - 3, we consider the given domain of -3 <= x <= 3. The function represents a parabola that opens upwards. By calculating the coordinates of the turning point, we can locate the vertex of the parabola.
To find the x-coordinate of the turning point, we use the formula x = -b/2a, where a and b are the coefficients of the quadratic equation. In this case, a = 1 and b = -1. Substituting these values, we have x = -(-1)/2(1) = -0.5.
To find the y-coordinate of the turning point, we substitute the x-coordinate (-0.5) into the equation y = \(x^{2}\) - x - 3. Evaluating this expression, we get y = \(-0.5^{2}\) - (-0.5) - 3 = -3.25.
Therefore, the turning point of the parabola is approximately (-0.5, -3.25).
From the sketch, we can estimate the approximate solutions to the equation \(x^{2}\)- x - 3 = 0 by identifying the x-values where the graph intersects the x-axis. These solutions are approximately x ≈ -2.5 and x ≈ 1.5.
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Let f(x) = -2x squared + 3x - 6 and g(x) = 5 - 4x - 8x squared. Which equation shows h(x), where h(x) = f (x) + g(x)?
ANSWER
h(x) = -10x² - x - 1
EXPLANATION
First we have to write f(x) and g(x) in the sum:
\(h(x)=f(x)+g(x)\)\(h(x)=(-2x^2+3x-6)+(5-4x-8x^2)\)Then we have to add like terms. To do this we have to group the terms by the exponent of the variable:
\(\begin{gathered} h(x)=(-2x^2-8x^2)+(3x-4x)+(-6+5) \\ h(x)=-10x^2-x-1 \end{gathered}\)How many 3/8 cups are in 1/2 cup
Answer: 1.3333 cups of 3/8 cups
Step-by-step explanation:
1/2 divded by 3/8
Please help I’m stressing
How does Hamlet's view of death change throughout the play?.
Being afraid of the unknown prevents Hamlet from using death as a solution to end his difficulties.
Hamlet's perspective on death changes as he comes to terms with the fact that it is inevitable and he isn't sure he wants to experience it since death might not be preferable to life. Hamlet repeatedly longs for death to put an end to his suffering due to his sadness and agony, but he hesitates since death is forbidden in the Christian religion for fear of being sentenced to eternal torment in hell.We also learn that since another factor contributing to Hamlet's terrible demise was his inability to "do" rather than just "be." His speech, which is primarily about death, demonstrates his propensity to reflect rather than act.This is how Hamlet's view of death changes throughout the play.
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a) Change 6 out of 100 to a percentage.
Debbie rides her bike to school every day. On Monday, she rode 1.5 miles to school in 10
minutes. On her way home, she took a different route through a park, and rode 3 miles in 15
minutes. On which route did Debbie ride at a faster pace?
Answer:
the second route
Step-by-step explanation:
1.5/10=0.15 miles/minute
3/15=0.2 miles/minute
0.2 is faster than 0.15
Now, determine whether the relationship between the two triangles you found in the first task is true for any two triangles. For any line, if you draw two right triangles using the line as the hypotenuse, can the triangles be congruent? Why or why not? Do they have to be congruent? Why or why not?
Answer:
The two triangles are not congruent.
Step-by-step explanation:
If two right triangles are drawn with a line as hypotenuse, the two triangles are not congruent. Because as per RHS congruency ie Right Angle - Hypotenuse - Side : right angle, hypotenuse & also one other side equality is needed for congruence. Given case doesn't satisfy the last 'other side equality' condition.
Answer:
h
Step-by-step explanation:
help if you can please
its the red one
i learnt it in school
please help me I have to submit it tomorrow I will give brilliant to the one who solves it
a. Income tax is the amount of money that an individual is required to pay to the government based on their income.
b. Ramesh's total income in 13 months, including the festival expense, is found as Rs 593,857.
c. Ramesh's annual income tax, considering the investment in citizens' investment fund, is Rs 85,000.
How do we calculate?a. Income tax is described as the amount of money that an individual is required to pay to the government based on their income. found using a specific tax rate applied to different income brackets.
b.
Monthly income = Salary + Dearness allowance
= Rs 43,689 + Rs 2,000
= Rs 45,689
Total income for 13 months = Monthly income * 13
= Rs 45,689 * 13
= Rs 593,857
c.
Total income after deducting citizens' investment fund = Total income - Investment amount
= Rs 593,857 - Rs 2000
= Rs 591,857
Hence, the income tax based on the revised total income is:
Tax for income upto 5 lakh which is 1% of the income
= 0.01 * 500000
= Rs 5,000
Tax for income from 5-7 lakh which is the 10% of the income
= 0.1 * 200000
= Rs 20,000
The Tax for income from 7-10 lakh: 20% of the income
= 0.2 * 300000
= Rs 60,000
The Tax for income from 10-20 lakh is 30% of the income
= 0.3 * 0
= Rs 0
The total income tax = Rs 5,000 + Rs 20,000 + Rs 60,000 + Rs 0 + Rs 0
= Rs 85,000
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A 2-cup bottle of glass cleaner costs $7.84. What is the price per fluid ounce?
Answer:
49 cents
Step-by-step explanation:
How do i solve this paper?
I feel like my answers are gone and i need help.
Answer:
you have it correct sir
Step-by-step explanation: