Answer:
17
Step-by-step explanation:
You have to plug -2 into every x in the function, so:
(-2)^2 - 3 (-2) + 7
4 + 6 + 7
17
Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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In this graph, the y-intercept of the line is lank
The equation of the line is y=blank x blank
Answer:
The y intercept is -2
The equation is y = x-2
Step-by-step explanation:
Write 3 and 1/3 as a mixed number
Answer:
10/3
Step-by-step explanation:
i hope this helps
help choose if you do i will give branlest to right answer
EGA and AGB aka the fourth option
Step-by-step explanation:
EGA and AGB create a 180 degree angle together
Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner.
How many meters of fencing will Steve need?
Answer: 12 is the awnser
Step-by-step explanation: simple math.
What is the length of FG?
(Picture of Question Below!)
A. 1.2
B. 3
C. 3.6
D. 4 ( IT IS NOT D!)
E. 6
9514 1404 393
Answer:
C. 3.6
Step-by-step explanation:
AC = FA + FC = 4+6 = 10
AC is the hypotenuse of right triangle ABC, which has leg BC = 8. Then the length of AB is given by the Pythagorean theorem as ...
AB² +BC² = AC²
AB = √(10² -8²) = 6
The side lengths of these similar triangles are proportional, so you have ...
FG/FC = AB/AC
FG = FC(AB/AC) = 6(6/10)
FG = 3.6
Does the expression x^3-1 divided by x^2 -1 simplify to x?
No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.
To simplify the expression, let's first factorize both the numerator and denominator.
The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).
The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).
Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:
[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]
The (x - 1) terms cancel out, leaving us with:
x^2 + x + 1 / (x + 1)
So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.
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Karoline needs to jog 30.5 miles over the next 7 days to train for a race.
She plans to jog 4.25 miles each day.
Use the drop-down menus to complete the statements about her race training
Answer:
If she plans to jog 4.25 miles each day then 4.25 * 7 would equal 29.75. This is the first answer.
In order to get the second answer, we need to subtract 30.5 (What she needs to jog) over 29.75 (how much she is planned to job over the next 7 days). So 30.5 - 29.75 = 0.75
Here is the math I did to get 0.75:
= 30.5 - 29.75
= 30.5 + -29.75
= 0.75 (Answer)
Hopefully this helped :D
Step-by-step explanation:
please help, thank you!
Answer:
To find all values of x for which f(x) = 26, we can set up the equation:
8x + 15/x = 26
Multiplying both sides by x, we get:
8x^2 + 15 = 26x
Bringing all the terms to one side, we get:
8x^2 - 26x + 15 = 0
We can factor this quadratic equation using the factoring method or by using the quadratic formula. Here, we will use the factoring method:
8x^2 - 26x + 15 = 0
(4x - 3)(2x - 5) = 0
Setting each factor equal to zero and solving for x, we get:
4x - 3 = 0 OR 2x - 5 = 0
4x = 3 OR 2x = 5
x = 3/4 OR x = 5/2
Therefore, the values of x for which f(x) = 26 are x = 3/4 or x = 5/2.
IS 3.5 Cups more or less than a liter
Answer:
3.5 cups are less than a liter
Step-by-step explanation:
1 litrer is approximately 4 cups
A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served.
A table showing Catering Cost for Wait Staff Gratuity with two columns and 6 rows. The first column has, Number of Guests, and has the entries, 10, 20, 30, 40, 50. The second column, Wait Staff Tip, has the entries, $18, $36, $54, $72, $90.
If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
t = 1.8g
t = t equals StartFraction g Over 18 EndFraction.
g = 1.8t
g = g equals StartFraction t Over 18 EndFraction.
Answer: t = 1.8g
Step-by-step explanation:
Since we are given the information that the tip varies directly with the number of guests, then the formula to use will be:
t = kg
where,
t = wait staff tip
g = number of guests
Therefore, when the number of guests is 10 and the tip is $18, the constant of proportionality will be:
t = kg
18 = 10k
k = 18/10
k = 1.8
Therefore, t = 1.8g
Answer:
A.
Step-by-step explanation:
Can someone help find the surface area, then round the answer to the nearest whole number please?
The Surface Area of cylinders are: 100 yd² , 264 m², 226 mm²
The Surface Area of Can is 219 cm².
We know the formula for Surface Area of Cylinder
= 2πrh
1. Radius = 2 yd
Height = 8 yd
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 2 x 8
= 100 yd²
2. Radius = 7 m
Height = 6 m
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 6 x 7
= 264 m²
3. Radius = 3 mm
Height = 12 mm
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 3 x 12
= 226 mm²
4. Radius = 3.5 cm
Height = 10 cm
So, Surface Area of Can
= 2πrh
= 2 x 3.14 x 3.5 x 10
= 219 cm²
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HELP PLS! whoever gets it right gets brainliest!!
Answer:
(7, -4)
Step-by-step explanation:
it's the only one remotely close to the line.
You are given the following information about a simple regression model fit to 10 observations: 10 10 Στη = 20, = , Συ = 100, Sy=8. S = 2, k=1 You are also given that the sample correlation coefficient r = -0.98. Determine the predicted value of y when I = 5. Answer to the nearest integer. A. -10 B. -2 C. 11 D. 30 E. 37
The predicted value of y when I = 5 is equal to D) 30.
To determine the predicted value of y when I = 5, we can use the equation of the simple linear regression model:
y = b0 + b1x
where b0 and b1 are the regression coefficients and x is the predictor variable.
We can find b1 using the formula:
b1 = r(Sy/Sx)
where r is the sample correlation coefficient, Sy is the standard deviation of the y variable, and Sx is the standard deviation of the x variable.
Plugging in the given values:
b1 = -0.98(8/2) = -4
We can find b0 using the formula:
b0 = ybar - b1*xbar
where ybar and xbar are the mean of the y variable and the x variable respectively.
Plugging in the given values:
b0 = 10 - (-4)*10 = 50
Therefore, the equation of the simple linear regression model is:
y = 50 - 4x
So when I = 5, the predicted value of y is:
y = 50 - 4(5) = 50 - 20 = 30
The closest answer choice is D. 30.
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1.Which statement about two negative numbers is true? .
Answer:
To negative numbers makes a positive number.
(only in dividing and multiplying)
Step-by-step explanation:
Please mark me brainliest
Find the square. Simplify your answer.
(2t - 4)
Answer:
t^2 -4t + 4
Step-by-step explanation:
(2t-4)(2t-4) Use the FOIL Method (first, outside, inside, last)
2t*2t =4t^2 First
2t*-4 = -8t Outside
-4*2t = -8t Inside
-4*-4 = 16 Last
4t^2 -8t -8t + 16 (simplify/add like terms)
(4t^2 -16t + 16)/4 (you can further simplify by dividing each value by 4)
t^2 -4t + 4
At what rate was an investment made that obtains $50.40 on $210 over four years?
Answer:
Rate=6
Step-by-step explanation:
First multiply the interest by 100
50.40×100=5040
then multiply the investment by the number of years
210×4=840
then divide the two answers together
5040÷840=6
carry out the following matrix multiplications. for each problem, say what the function represented by each matrix does to the standard basis vectors and what the product of the two matrices would do to these vectors.
The row in the original matrix and the column in the primary matrix must match. Hence, the matrix product has the first matrix's number of rows and the second matrix's number of columns.
A matrix is exactly what?Read an overview of this subject. a collection of numbers lined up in rows or columns to form a flat array is called a matrix. The atoms, or units, of the matrix are the integers.
The matrix theory is what?The study of squares is the main focus of the mathematical field known as matrix theory. It started out as a branch of linear algebra but quickly expanded to cover topics in graph theory, algebra, combinatorics, and statistics.
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find the exact value of x. 45 degree and 10 side
Answer:
The exact value of the other leg is 10.
Step-by-step explanation:
Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.
Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.
Substituting known values, we get:
(10√2)^2 = 10^2 + b^2
200 = 100 + b^2
b^2 = 100
b = 10
Therefore, the exact value of the other leg is 10.
A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300
Answer:
B
Step-by-step explanation:
using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then
a₁ = 10
a₂ = 3a₁ = 3 × 10 = 30
a₃ = 3a₂ = 3 × 30 = 90
the first 3 terms are 10 , 30 , 90
Juan buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Juan will buy.
Write your answer as an inequality solved for p.
In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).
How can these number be determined?Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.
From the question, p = number of pounds Juan will buy.
candy=costs $8 per pound
$20/$4 = 5 pounds
p>5
at least 5 pounds
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Elmo made a 65 potholders each pot holder cost him $1.65 to make if he sells each pot holder for $2.12 how many profit will he make?
Answer:
Step-by-step explanation:
$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.
This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.
Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.
The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.
Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.
In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.
In order for us to calculate Elmo's profit, we need to determine how much he spent to make the potholders and how much he will earn from selling them.
The total cost of making the handles is the product of the number of handles times the cost per unit:
Total cost = 65 potholders × $1.65/potholder = $107.25
The total revenue from selling the handles is the product of the number of handles times the selling price per unit:
Total revenue = 65 potholders x $2.12/potholder = $137.8
Elmo's profit is the difference between total revenue and total cost:
Profit = Total Revenue - Total Cost
Profit = $137.8 - $107.25 = $30.55
Profit = $30.55
Elmo will make a profit of $30.55 by selling 65 potholders.
100 points to answer!
Answer: 27.47
Step-by-step explanation:
(sin(70) * 10) / sin(20)) = 27.47
don't know much, but try that
Answer:
100
Step-by-step explanation:
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In the expansion of (1/ax +2ax^2)^5 the coefficient of x is five. Find the value of the constant a.
Answer:
80x⁴
Step-by-step explanation:
\((\frac{1}{ax} + 2ax^2)^5 = 5C_0(\frac{1}{ax})^5(2ax^2)^0 + 5C_1(\frac{1}{ax})^4(2ax^2)^1 + 5C_2(\frac{1}{ax})^3 (2ax^2)^2\)
\(+ 5C_3 (\frac{1}{ax})^2(2ax^2)^3 + 5C_4(\frac{1}{ax})^1(2ax^2)^4 + 5C_5(\frac{1}{ax})^0(2ax^2)^5\)
\(5C_0(\frac{1}{ax})^5(2ax^2)^0 =1 \times (\frac{1}{ax})^5 \times 1 = \frac{1}{a^5x^5}\\\\5C_1(\frac{1}{ax})^4(2ax^2)^1 = 5 \times (\frac{1}{ax})^4 \times (2ax^2)^1 = 10 ax^2 \times \frac{1}{a^4x^4} = \frac{10}{a^3x^2}\\\\5C_2 (\frac{1}{ax})^3 (2ax^2)^2= 10 \times (\frac{1}{ax})^3 \times (2ax^2)^2 = 10 \times \frac{1}{a^3x^3} \times 4a^2x^4 = \frac{40x}{a}\\\\5C_3 (\frac{1}{ax})^2 (2ax^2)^3 = 10 \times (\frac{1}{ax})^2 \times (2ax^2)^3 = 10 \times \frac{1}{a^2x^2} \times 8a^3 x^6 = 80ax^4\\\\\)
\(5C_4(\frac{1}{ax})^1(2ax^2)^4 = 5 \times \frac{1}{ax} \times 16a^4x^8 = 80a^3x^7\\\\5C_5(\frac{1}{ax})^0(2ax^2)^5 = 1 \times 1 \times 32a^5x^{10}\)
The fourth term of the expansion has the constant a,
the coefficient of a is 80x⁴
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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1. Find the perimeter of the rectangle.
4in w 7in L
O11 in.
O22 in.
O28 in.
O56 in.
Answer:
(b) 22 in
Step-by-step explanation:
You want the perimeter of a rectangle with side lengths 4 inches and 7 inches.
PerimeterThe perimeter of a rectangle is the sum of the lengths of its sides. Your rectangle has two sides that are 4 inches, and two sides that are 7 inches. The perimeter is the sum of these lengths:
P = 4 in + 4 in + 7 in + 7 in
P = 22 in
The perimeter of the rectangle is 22 inches.
__
Additional comment
We can save a math operation by recognizing the sum can be arranged to ...
P = (4 in +7 in) +(4 in +7 in) = 2(4 in +7 in)
This is evaluated using one sum and one product, rather than the three sums we need if we simply add the lengths of the four sides.
This is why the usual formula for the perimeter of a rectangle is ...
P = 2(L +W)
What is the meaning of "the universal class V is a proper class"?
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
We have,
In set theory, a proper class is a class that is not a set.
A class is a collection of objects, and a set is a class that can be a member of other classes.
On the other hand, a proper class cannot be a member of another class.
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
This means that V cannot be an element of any other class or set within the context of the set theory being considered.
The concept of proper classes is used to prevent paradoxes and contradictions that can arise when unrestricted comprehension is allowed in set theory.
Thus,
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
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2. Richie solved the equation 24x + 18(x - 2) = 216 for x.
Some of his steps are shown below.
Step 1: 24x + 18(x - 2) = 216
Step 2: 24x + 18x - 36 = 216
Step 3: 42x - 36 = 216
Step 4: 42x = 252
List the steps Richie took to solve the equation.
the answer is 6 he nned to divide 42 and
252
Step-by-step explanation:
42x=252
x=252/4
x=6
well hope that helps
Answer: Answer is the steps
Step-by-step explanation:
Step 1: Richie rewrite the equation as 24x + 18(x-2) =216
Step 2: Richie applied the distributive property to eliminate the parentheses and got the equation 24x + 18x - 32 = 216
Step 3: Richie combine like terms to get the equation 42x -36 =216
Step 4: Richie added 36 to both sides to get the new equation 42x = 252
Richie was not done solving for x so in
Step 5: Richie should have divided both sides by 42 to get the final answer
x = 6.
1) Maggie has 7 bills, all tens and twenties, that
total $100 in value. Find the number of tens, x, and
the number of twenties, y, that Maggie has.
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 11ftand a length of 18ft?
Answer:
i got 691ft
Step-by-step explanation:
Answer: 3366
Step-by-step explanation: (17)(11)(18)= 3366