Answer:160
Step-by-step explanation:
Find the volume of a rectangular prism that is 10 cm long, 3 cm wide, and 2 cm high. Please draw and label the prism
Answer:
Volume = Length × Width × Height
Volume = 10 × 3 × 2
Volume = 60 cm
What is the slope of the line represented by the equation y = y=4/5x-3?
Answer:
4/5
Step-by-step explanation:
Find the indicated derivative. Find f (4)(x) if f(x) = 7√xf(4)x=
The value of f (4)(x) if f(x) = 7√xf(4)x= 7/2√x.
The derivative of f(x) = 7√x with respect to x, at x = 4, is f'(4)(x) = 7/2√x.
To calculate the derivative of a function, you can use the following formula: f'(x) = lim(h → 0) [f(x+h) - f(x)] / h.
For f'(4)(x), we take the limit of the function as h approaches 0. We will plug in 4 for x in the equation above.
Therefore, f'(4)(x) = lim(h → 0) [7√x+h - 7√x] / h
We can simplify this expression to 7/2√x. This is because the limit of the denominator, h, is 0, which causes it to be equal to 1. Thus, 7/2√x is the final answer.
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The repairman charged $40 dollars for the visit and then $20 every hour it took him to repair the stove.
do you want an expression?
if so it would be T = 40 + 20h
t = total
h = hour(s)
The correct expression to represent total charge in h hours is,
⇒ y = 40 + 20h
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The repairman charged $40 dollars for the visit and then $20 every hour it took him to repair the stove.
Now, Let number of hours = h
Hence, We can formulate;
The total charge in h hours is,
⇒ y = 40 + 20h
Hence, The correct expression to represent total charge in h hours is,
⇒ y = 40 + 20h
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How many ways are there to select 25 books from a collection of 27 books?
f. 702 g. 5.4 × 1027 h. 351 i. 675
The number of ways to select 25 books from a collection of 27 books is (f) 702.
To calculate the number of ways to select 25 books from a collection of 27 books use the concept of combinations. The formula for combinations is given by:
C(n, r) = n! / (r! × (n - r)!)
Where n is the total number of items, r is the number of items to be selected, and ! denotes the factorial operation.
n = 27 (the total number of books) and r = 25 (the number of books to be selected). Let's calculate the value:
C(27, 25) = 27! / (25! × (27 - 25)!)
= 27! / (25! × 2!)
= (27 × 26 ×25!) / (25! × 2)
= (27 × 26) / 2
= 702
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What are the 3 types of solutions an equations can have?
Answer:
Unique Solution.
No Solution.
Infinitely Many Solutions.
a rectangle has width that is 2 feet less than the length the arrea of the rectangle is 80 square feet find the dimensions of the rectangle
The dimensions of the rectangle are 10 feet (length) and 8 feet (width).
To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,
follow these steps:
1. Let the length of the rectangle be L feet and the width be W feet.
2. According to the given information, W = L - 2.
3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.
4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).
5. Solve the quadratic equation: 80 = L² - 2L.
6. Rearrange the equation: L² - 2L - 80 = 0.
7. Factor the equation: (L - 10)(L + 8) = 0.
8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).
9. Substitute L back into the equation for W: W = 10 - 2 = 8.
So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).
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For number 8 find the variable using the properties of a parallelogram
Applying one of the properties of a parallelogram, the value of x is 10°, then 6x=60° and 12x=120°.
QuadrilateralsThere are different quadrilaterals, for example square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, a parallelogram presents some properties that are presented below.
the opposite sides are equal and parallelthe opposite angles and the diagonals are equal.the adjacent angles are supplementary.The figure of the exercise shows two adjacent angles. From the property: the adjacent angles are supplementary, you have:
6x+12x=180
18x=180
x=10°
Therefore, 6x= 6*10=60° and 12x=12*10=120°.
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which method of comparing the numbers would you use.
Answer:
be more specific
Step-by-step explanation:
Answer:
alright I see, so basically you can choose standard form or scientific notation and explain why or how it is a better way for you :)
Find the regression equation, letting the first variable be the predictor (x) variable. Find the best predicted Nobel Laureate rate for a country that has 78.2 Internet users per 100 people. How does it compare to the country's actual Nobel Laureate rate of 1.6 per 10 million people? LOADING... Click the icon to view the data. Find the equation of the regression line. y=nothing+(nothing)x (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) The best predicted number of Nobel Laureates when the number of internet users per 100 is 78.2 is nothing. (Round to one decimal place as needed.)How does it compare to the country's actual Nobel Laureate rate of 1.6 per 10 million people? A. The best predicted value is very close to the actual Nobel Rate. B. The best predicted value is not at all close to the actual Nobel Rate. C. The best predicted value is the opposite of the actual Nobel Rate. D. The best predicted value is equal to the actual Nobel Rate.
Answer: the answe is not at all close to the actual Nobel rate.
Step-by-step explanation:
What is the breakdown of this math problem? 8 2/5 - 6 7/10 =
let's first off, convert the mixed fractions to improper fractions.
\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)
a man earn $6 in two hours. how much does he earn in 5 hours
Answer:
$15
Step-by-step explanation:
6 divided by 2 is 3
3 multiplied by 5 is 15
i ready classroom grade 8 volume 1 mathematics
Can anyone help me with this asap !!!
Answer:
y=x+2
Step-by-step explanation:
Brainliest?!?!?!
The equation for the given graph is y=0.8x+2.
The coordinate points from the given graph are (0, 2) and (2.5, 0).
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The slope from the given graph is, slope = Rise/Run
= 2/2.5
= 0.8
Put, m=0.8 and (0, 2) in y=mx+c
⇒ 2 = 0.8(0) + c
⇒ c = 2
So, the equation is y=0.8x+2
Therefore, the equation for the given graph is y=0.8x+2.
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Pls help I need this by the end of today
The average rate change of over the interval [-1,1] is 2.
What is an interval?
In mathematics, an interval is expressed in numerical terms. All the numbers between two specific numbers are referred to as an interval. All actual numbers between those two are included in this range.
Given points on the graph is
x -2 -1 0 1
y -4 -3 -1 3
The average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,
Average rate of change = [f(b) - f(a)]/(b - a)
Here a = -1, b = 1, f(a) = -3, and f(b) = 3
The average rate is (3 - (-3))/ (1 - (-1)) = 2
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please HELP me!!!!! PLEASE!!!!!
Answer:
A. 80 square feet
B. four options are 8×10 ft, 10×8 ft, 5×16 ft, 7 1/2×10 2/3 ft
Step-by-step explanation:
The area of Jason's deck can be found using the formula for the area of a trapezoid. The dimensions of Sarah's deck can be found by considering the factors of the area of Jason's deck.
__
A. JasonThe area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the base lengths, and h is the perpendicular distance between them. Here, we have b1 = 16 ft, b2 = 4 ft, h = 8 ft, so the area is ...
A = 1/2(16 ft +4 ft)(8 ft) = 80 ft²
The area of Jason's deck is 80 square feet.
__
B. SarahThe integer factor pairs of 80 are ...
80 = 1×80 = 2×40 = 4×20 = 5×16 = 8×10
For non-integer factor pairs, one can be found from the other by dividing 80 by the one given:
for a 7 1/2 ft deck, the other dimension is 80/7.5 = 10.66666... = 10 2/3
__
For a nearly square deck, Sarah could make hers ...
8 feet wide and 10 feet long
10 feet wide and 8 feet long
One with integer dimensions that would be somewhat narrower would be ...
5 feet wide and 16 feet long
If Sarah uses non-integer dimensions, she could make her deck ...
7 1/2 ft wide and 10 2/3 ft long
Is 40/1000 and 40% an equivalent pair
Answer:
No
Step-by-step explanation:
40/1000 is 4%
Answer:
no, it would be equivalent if it was 4%
Step-by-step explanation:
Shelly and Terrence completed x tasks in a game. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game: 90x − 20
What does the first term of the expression represent?
A. The total points Shelly earned
B. The number of tasks Terrence completed
C.The sum of Shelly's and Terrence's total points
D. The number of tasks Shelly completed
Answer:
The correct option is;
A. The total points Shelly earned
Step-by-step explanation:
The given details are;
The number of tasks completed by Shelly and Terrence in the game = x
The total points scored by Terrence = 20 less than the total point scored by Shelly
The expression for Terrence's total point is 90·x - 20
Let the total points Shelly earned = Y
Therefore since the total points scored by Terrence = 20 less than the total point scored by Shelly, we have;
The total points scored by Terrence = Y - 20
Comparing the two expressions for the total points scored by Terrence which are;
90·x - 20 and Y - 20 we have;
90·x - 20 = Y - 20
Adding 20 to both sides of the equation gives;
90·x - 20 + 20= Y - 20 + 20
Which gives;
90·x = Y
Therefore, the first term of the expression 90·x - 20, which is 90·x is equal to Y, which is the total points Shelly earned
The correct option is therefore the total points Shelly earned.
Answer:
A. The total points Shelly earned
Step-by-step explanation:
Hope this helps!
Have a great day! :)
Tell whether the condition to form a unique triangle, more than one triangle, or no triangle.
A triangle with angle measures of 20 degrees, 45 degrees and 110 degrees.
A 6 1/4 inch candle burns down in 5 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.
The proportional equation for b in terms of t is b = 1.25t
How to write a proportional equation for b in terms of tWe can begin by finding the rate at which the candle burns, which is the amount burned per unit time.
The candle burns down from a length of 6 1/4 inches to 0 inches in 5 hours, which means it burns 6 1/4 inches in 5 hours.
So the rate of burning, in inches per hour, is:
r = (6 1/4 inches) / (5 hours) = 1.25 inches per hour
Now we can write the proportional equation:
b = rt
where r is the rate of burning, which we found to be 1.25 inches per hour, and t is the time in hours.
So the equation for b in terms of t is:
b = 1.25t
This equation represents how much of the candle has burned away, in inches, at any time given in hours, assuming the burning rate remains constant.
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The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answer:
above sea level
Step-by-step explanation:
In ΔMNO, the measure of ∠O=90°, OM = 1. 7 feet, and NO = 6. 7 feet. Find the measure of ∠N to the nearest degree
The measure of ∠N to the nearest degree is 82°.
Calculate the nearest degree?To find the measure of ∠N, we can use the Pythagorean theorem and trigonometric functions.
First, we can use the Pythagorean theorem to find the length of MN:
MN² = NO² - OM²
MN² = (6.7 feet)² - (1.7 feet)²
MN² = 44.56 feet²
MN = 6.67 feet
Now, we can use the sine function to find the measure of ∠N:
sin(N) = MN/NO
sin(N) = 6.67 feet / 6.7 feet
sin(N) ≈ 0.994
N ≈ sin⁻¹(0.994)
N ≈ 82.4°
The measure of ∠N to the nearest degree is 82°.
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6. Triangle ABC is congruent to triangle A'B'C'. Describe a sequence of rigid
motions that takes A to A, B to B', and C to C. (Lesson 1-17)
A
B
C
A'
C'
B'
Answer:
∠B ≅ ∠E. Triangles ABC and DEF are congruent when there is a sequence of rigid motions that maps. 1) ∠A onto ∠D, and ∠C onto ∠F.
Step-by-step explanation:
The organizer of a late night street fair in a popular tourist city wants to analyze the relationship between daily revenue and the following variables: the number of male visitors, the number of female visitors, the number of retail stands, the number of food (and beverage) stands, and the number of performances that take place on a given night. The regression output table is provided below. Based on these results and using a 10% significance level, the organizer thinks he can improve the model. He wants to try removing at least one variable from the analysis to create and compare new models. Which variable or variables would you recommend that he consider removing from the regression model? SELECT ALL THAT APPLY.
The variables that the organizer can consider removing from the regression model are the Number of male visitors and Number of performance.
Based on the regression table provided, we can answer this question. The following is the regression table:Regression output table for night street fair variableNameCoefficientStandard Errort-StatP-ValueConstantb0.340.1402.430.023Number of male visitorsb10.6130.51320.750.462Number of female visitorsb10.9070.57918.830.000Number of retail standsb0.1160.0452.570.016Number of food (and beverage) standsb0.3160.0575.500.000Number of performanceb0.1460.1071.360.184The null hypothesis is rejected if p-value < 0.1; that is, there is a significant difference between the independent and dependent variables. The p-value of the Number of male visitors, the Number of female visitors, the Number of retail stands, the Number of food (and beverage) stands, and the Number of performances variables are 0.462, 0.000, 0.016, 0.000, and 0.184, respectively. As a result, the variables that are significant at the 10% level are the Number of female visitors, the Number of retail stands, and the Number of food (and beverage) stands. Therefore, the organizer should consider removing the Number of male visitors and Number of performance variables from the regression model. The variables that the organizer can consider removing from the regression model are the Number of male visitors and Number of performance.
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Distribute to create an equivalent expression with the fewest symbols possible.
4(5+y)
Answer:
20 + 4y
Step-by-step explanation:
To have to fewest symbols possible, we must simplify the expression by multiplying 4 into the numbers within the parenthesis. Doing so we get:
\(4(5+y) = 4 * 5 + 4 * y = 20 + 4y\)
Answer: 20+4y
Step-by-step explanation:
Hi, let me help you.
What we should do to simplify this expression is to "distribute" 4.
The parentheses around 5+y tell us to multiply 4 times both 5 and y. This is shown below.
\(\multimap\quad \tt 4\cdot5+4\cdot y\)
\(\multimap\quad\tt 20+4y\) is what we obtain upon multiplying
________________
Hope I helped. Best wishes.
Reach far. Aim high. Dream big.
____________________
Write an equation of a line that passes through the points (-5, -5) and (1, -3) in point-slope form.
Answer:
point slope form: y- -5 = -1(x- -5)
Step-by-step explanation:
slope int form: y=-1/2x-2.5
Can anyone help?!
(it's a 3 mark question)
Answer:
2x+3x+x-30=180(sum of interior angle of triangle)
6x=180+30
x=210/6=35
Answer:
2x+3x+x-30=180
6x=180+30
x=210/6=35
Step-by-step explanation:
Is it right? And can you guys please solve it
To solve quadratic equation using factorisation
(a)
\(\begin{gathered} x^2\text{ -x = 56} \\ x^2-x-56\text{ = 0} \\ x^2-8x+7x-56=0 \\ x(x-8)+7(x-8)=0_{} \\ (x-8)(x+7)=0 \\ x-8=0\text{ or x+7=0} \\ x=8\text{ or x = -7} \end{gathered}\)(b)
\(\begin{gathered} x^2\text{ = }3x\text{ + 28} \\ x^2-3x-28\text{ = 0} \\ x^2-7x+4x-28=0 \\ x(x-7)+4(x-7)=0_{} \\ (x-7)(x+4)=0 \\ x-7=0\text{ or x+4=0} \\ x=7\text{ or x = -}4 \end{gathered}\)
(c)
\(\begin{gathered} \frac{1}{2b}\text{ = }\frac{3}{5b}+3 \\ \text{collect like terms} \\ \frac{1}{2b}\text{ - }\frac{3}{5b}\text{ = 3} \\ \frac{5\text{ - 6}}{10b}\text{ = 3} \\ \frac{-1}{10b}\text{ = 3} \\ -1\text{ = 10b x 3} \\ -1\text{ = 30b} \\ \text{divide oth side by 30b} \\ b=\frac{-1}{30}\text{ } \end{gathered}\)
help!! (pic above)
answer chooses for both-
a. Associative property officials
b. associative property of multiplication
c. commutative property of addition
d. commutative property of multiplication
e. distributive property
Line -1. n(mo)
Line-2..(nm)o
Line-3. (mn)o
Now
Line:-1 to Line :-2. Commutative property of multiplication.
Line :2-Line :-3 Associative property of multiplication
The graph represents the distance the Pennsylvania Train traveled over 8 hours.
The Baltimore Train traveled 1,020 miles in 12 hours. Both trains traveled at a constant rate. Which sentence is true?
A. The Baltimore Train was faster by 10 miles per hour.
B. The Baltimore Train was faster by 15 miles per hour.
C. The Pennsylvania Train was faster by 10 miles per hour.
D. The Pennsylvania Train was faster by 15 miles per hour.
Answer:
Baltimore Train: 1,020 mi/12 hr = 85 mph
Pennsylvania Train: 75 mph
So the correct answer is A.
when the consumption schedule lies below the 45-degree reference line, saving:
When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.
How to explain the informationThe consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.
In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.
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When the consumption schedule lies below the 45-degree reference line, saving what does it means?