ANSWER:
\(A_T=8+8+20+20+40+40\)STEP-BY-STEP EXPLANATION:
In this case, what we must do is calculate the face area and then add each face, like this:
The area of each area is the product between its length and its width, therefore
\(\begin{gathered} A_1=2\cdot4=8 \\ A_2=10\cdot4=40 \\ A_3=10\cdot2=20_{} \\ A_4=10\cdot4=40 \\ A_5=10\cdot2=20_{} \\ A_6=2\cdot4=8 \end{gathered}\)The total area would be the sum of all the areas, if we organize it would be like this:
\(A_T=8+8+20+20+40+40\)What is the value of x for the triangle shown to the right?
Answer:
x = 6.24
Step-by-step explanation:
x =
Tan32° = OPP/ADJ
Tan32° = x/10
0.624 = x/10
cross-multiply
x = 6.24
Fill in the table.
Give four consecutive odd integers:
First Integer
X
The simplified sum of the second and forth integers are
Next Integers
The simplified sum of the second and forth integers are; -1 + 5 = 4
How to find the integer?An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803
Now, we are given the consecutive integer sequence as;
x, 1, 3, 5
Now, since the integers are consecutive, then the common difference is the same. Thus;
1 - x = 3 - 1
1 - x = 2
x = 1 - 2
x = -1
Sum of first and fourth term = -1 + 5 = 4
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6) Lily was going to have a party so she
bought some sweets.She bought some
cookies and brownies. Cookies were $2 and
brownies were $3. She spent $144 for a total
of 60 sweets. How many cookies and
brownies did she buy?
Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."
According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.
We can set up two equations based on the given information:
C + B = 60 (equation 1, representing the total number of sweets)
2C + 3B = 144 (equation 2, representing the total cost in dollars)
To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.
From equation 1, we can rewrite it as C = 60 - B.
Now substitute this value of C in equation 2:
2(60 - B) + 3B = 144
Simplify the equation:
120 - 2B + 3B = 144
Combine like terms:
120 + B = 144
Subtract 120 from both sides:
B = 144 - 120
B = 24
Now substitute the value of B back into equation 1 to find C:
C + 24 = 60
C = 60 - 24
C = 36
Therefore, Lily bought 36 cookies and 24 brownies.
Which statement about a sphere is true?
Answer:
it is 3D
Step-by-step explanation:
Answer:
Its 3 dimensional
Step-by-step explanation:
I took the test
The sum of two numbers is 52. The difference of the two numbers is 6. Find the two numbers.
b) Write the equations.
Answer:46
Step-by-step explanation:
Which of the functions below could have created this graph?
O A. F(x) = -x' +5x° +7
O B. F(x) = 2x2 - 4x2 +4
O C. F(x)=x2+x+3
O D. F(x) = -5x – 2x+5
Answer:
\( \boxed{f(x) = 2 {x}^{9} - 4 {x}^{2} + 4}\)
Option B is the correct option
Step-by-step explanation:
By looking at the end behavior , we can say that the degree of the polynomial must be odd and leading coefficient will be positive.
Thus , the correct choice is B.
Hope I helped!
Best regards!
The polynomial function that could have created the given curve on the xy-plane is \(f(x)= 2x^9-4x^2+4\)
What are polynomial function?Polynomial functions aree function having a leading degrees of 3 and greater.
The nature of the curve on the xy-plane depends on its end behaviour. From the given graph, the end behaviour shows that the equivalnt function has a positive leading coefficient and an odd degree.
From the listed option, the function that satisfies both criteria is \(f(x)=2x^9-4x^2+4\).
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The Venn diagram shows the number of students that exercise in different ways. What number should go in the highlighted box below?
Answer:
50
Step-by-step explanation:
Add up all the numbers
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a tuxedo rental service charges $150 flat fee for a suit plus $50 per additinal day. The total cost of the tuxedo is $300. How many days was the tuxedo rental for?
The tuxedo was rented for 4 days.
Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).
From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:
$150 + $50x = $300
Subtracting $150 from both sides, we get:
$50x = $150
Dividing both sides by $50, we get:
x = 3
So the tuxedo was rented for 3 additional days, making the total number of days rented:
d = 1 + 3 = 4
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PLEASE HELP !!!!
Question 3(Multiple Choice Worth 4 points)
(04.01)
The graph of a function is shown:
Which of the following correctly identifies the set of outputs?
{(5,-2), (1, -1), (2, 2), (2,5)}
{(-2,5), (-1, 1), (2,-2), (5,2)}
{-2, -1, 2,5}
{-2, 1, 2, 5)
Answer:
{(-2, 5), (1, -1), (2, -2), (5, 2)}
Harford County Public schools are selling masks as a fund raiser. You can buy children's masks for $3 each or adult masks for $5 each. The school system sold 100
total masks for $426.
How many adult masks were sold?
The number of adult's masks sold is 63
Let the number of children's masks be represented by x
Let the number of adult's masks be represented by y.
Based on the information given, the equation to solve the question will be:
x + y = 100 ....... i
3x + 5y = 426 ....... ii
From equation i, x = 100 - y ..... iii
Put equation iii into ii
3x + 5y = 426
3(100 - y) + 5y = 426
300 - 3y + 5y = 426
Collect like terms
-3 + 5y = 426 - 300
2y = 126
y = 126/2
y = 63
The number of adult's mask sold is 63
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Find the center and radius of the circle with a diameter that has endpoints (-6,10)
and (2,3)Enter the center as an ordered pair, : Enter the radius as a decimal correct to three decimal places :
Step-by-step explanation:
the center of the circle is the midpoint of the diameter.
and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).
the midpoint between points A and B
(xm, ym) = ((xa + xb)/2, (ya + yb)/2)
in our case the midpoint (center of the circle) is
((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)
about the radius
diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =
= 113
diameter = sqrt(113) = 10.63014581...
radius = diameter / 2 = 5.315072906... ≈ 5.315
Use SSS to explain why the triangles in each pair are congruent.
The order in which the sides are listed does not matter for the SSS criterion. As long as the three sides of one triangle have the same lengths as the three sides of another triangle, the triangles are congruent.
SSS stands for Side-Side-Side, which is a congruence criterion in geometry. It states that if the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
To explain why the triangles in each pair are congruent using SSS:
Pair 1:
Triangle ABC and Triangle DEF are congruent because they have the same lengths for all three sides.
AB = DE
BC = EF
AC = DF
Pair 2:
Triangle PQR and Triangle STU are congruent because they have the same lengths for all three sides.
PQ = ST
QR = TU
PR = SU
The order in which the sides are listed does not matter for the SSS criterion. As long as the three sides of one triangle have the same lengths as the three sides of another triangle, the triangles are congruent.
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The area of a rectangular painting is 1/6 square yard. The width is 2/3 yard. What is the length of the painting use the formula a= lxw
The length of the painting is 1/4.
According to the statement
we have to find the length of the rectangular painting with the help of the given information.
So, For this purpose, we know that the
The given information is:
The area of a rectangular painting is 1/6 square yard. The width is 2/3 yard.
And we have to use the formula
Area = Length * Breadth
So, Substitute the values in it then solve
So,
Area = Length * Breadth
1/6= Length * 2/3
1/6 = 2L/3
1 = 12L/3
1 = 4L
L = 1/4.
The value of the length is 1/4.
So, The length of the painting is 1/4.
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14. Log(x)=2meansa. x=10b. x=2^10c. x=10^2d. x=0e. none of the above
Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
Discover the smallest square number
that can be written using five different
Roman numerals.
Divide this number by 24
Answer:
The smallest square number that can be written using five different Roman numerals is 10,000.
The result of the number divided by 24 is \(416 \dfrac{2}{3}\)
Step-by-step explanation:
The lowest digit which can be written using five different Roman numerals is 10,000.
Therefore, the smallest square number must be greater than or equal to 10,000.
\(\sqrt{10,000} =100\)
Therefore, the smallest square number that can be written using five different Roman numerals is 10,000.
Next, we divide the number by 24.
\(10,000 \div 24 =416 \dfrac{2}{3}\)
The result of the number divided by 24 is \(416 \dfrac{2}{3}\)
what is a regression through the origin
A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.
This version is also referred to as zero-intercept regression or homogeneous regression.
It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.
The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.
However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.
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It cost $2,845.80 for 3 people to go on a sightseeing vacation to Washington DC. How much did it cost in dollars per person?
Answer:
It costs $948.60 per person
Step-by-step explanation:
When you divide 2,845.80 by 3 we get 948.6.
I hope this helps you in any way:)
What is 3/10+3/20+1/12 as a whole number
Answer:
3/10+3/20+1/12
=3*6+3*3+1*5/60
=18+9+5/60
=32/60
=8/15=0.533
It is not a whole number.
Can you help me please
Answer: the answer is a. 11,627
Step-by-step explanation: a. doesn't round up to 13,000 but instead to 12,000
The width of a picture frame is 1\2 the length. Write an algebraic expression of four terms for the perimeter of the picture frame. Use l as your variable.
An algebraic expression for the perimeter of the picture frame is P = 3L.
Let the length of the picture frame be L.Let the width of the picture frame be W.Let the perimeter of the picture frame be P.Translating the word problem into an algebraic equation, we have;
The width of a picture frame is half (\(\frac{1}{2}\)) the length:
\(W=\frac{L}{2}\)
Formula for the perimeter of a rectangle.Mathematically, the perimeter of a rectangle is given by the formula;
\(P=2(L+W)\)
Where:
P is the perimeter of a rectangle.L is the length of a rectangle.W is the width of a rectangle.Substituting the parameters into the formula, we have;
\(P=2(L+\frac{L}{2})\)
Simplifying further, we have:
\(P=2L+L\\\\\)
P = 3L
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You might need: CalculatorZA=Round your answer to the nearest hundredth.СоMY?ProPro6TeaB4
∠A = 41.81°
Explanation:To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:
opposite = side opposite the angle = 4
hypotenuse = 6
adjacent = base = AC = ?
Since we have been given the opposite and the hypotenuse, we would use the sine ratio:
Sin A = opposite/hypotenuse
Sin A = 4/6
sin A = 0.6667
\(A=sin^{-1}(0.6667)\)A = 41.8129 degrees
To the nearest hundredth, ∠A = 41.81°
g(n) = -50 - 15n
Complete the recursive formula of g(n).
g(1) =
g(n) = g(n-1)+
NEED HELP NOW WILL MARK BRANLIEST
Show all work to multiply quantity 3 plus the square root of negative 16 end quantity times quantity 6 minus the square root of negative 64 end quantity (10 points)
Answer:
50Step-by-step explanation:
Quantity 3 plus the square root of negative 16 end quantity:
3 + √-16Quantity 6 minus the square root of negative 64 end quantity:
6 - √-64Multiply the two above:
(3 + √-16)(6 - √-64) = (3 + 4√-1)(6 - 8√-1) = (3 + 4i)(6 - 8i) = 3*6 - 3*8i + 6*4i - 4i*8i = 18 - 24i + 24i - 32i² = 18 - 32(-1) = 18 + 32 = 50Which of the following are remote interior angles of angle 1? Check all that apply
A. <5
B. <2
C. <3
D. <1
E. <4
F. <6
Answer:
The answer would be 6 and 4.
Step-by-step explanation:
Because when they mean remote interior, they are hinting that the interior angles that are not close to 1. We cannot choose 3 in this situation because it is adjacent to angle 1.
what is
1/3 x (15+6)
Answer:
First, you do 15+6 (because of the parentheses)
You get 21
then you have to do 1/3 times 21 and you get 7
Answer:
7
Step-by-step explanation:
Using BODMAS which stands for:
(Bracket, of, Division, Multiplication, Addition and Subtraction)
We first treat the bracket
(15+6)=21
We then treat the division
(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)
\(\frac{1}{3}\)
Then we move onto the multiplication which is the last part
\(\frac{1}{3}\) ×21= \(\frac{21}{3}\) =7
A standard deck of 52 cards has 4 suits: clubs, spades, hearts, and diamonds. Each suit has number cards 2 through 10, a jack, a queen, a king, and an ace. The jack, queen, and king are considered "face cards".
What is the probability of drawing one card from a standard deck of cards and choosing a "face card"????
A. 1/3
B. 3/52
C. 1/4
D. 3/13
4. Suppose 600 students were surveyed regarding their GPAs. The average GPA was found to be 2.75. Using a confidence level of 90%, what is the margin of error if the standard deviation is 0.45
?
4.73%
2.97%
9.5%
All changes saved
14.04%
Answer:4. Suppose 600 students were surveyed regarding their GPAs. The average GPA was found to be 2.75. Using a confidence level of 90%, what is the margin of error if the standard deviation is 0.45
?
4.73%
2.97%
9.5%
All changes saved
14.04%
Step-by-step explanation:
Please help me with this question.
The differentiation of the given function is \(\frac{d}{dx}\left(\frac{e^{4x}}{x^7}\right)=\frac{e^{4x}\left(4x-7\right)}{x^8}\)
What is differentiation?The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.
Given is function, \(y = \left(\frac{e^{4x}}{x^7}\right)\), we need to differentiate the given function,
\(\frac{d}{dx}\left(\frac{e^{4x}}{x^7}\right)\)
Applying quotient rule,
\(\quad \left(\frac{f}{g}\right)^'=\frac{f\:'\cdot g-g'\cdot f}{g^2}\)
\(=\frac{\frac{d}{dx}\left(e^{4x}\right)x^7-\frac{d}{dx}\left(x^7\right)e^{4x}}{\left(x^7\right)^2}\)
\(=\frac{e^{4x}\cdot \:4x^7-7x^6e^{4x}}{\left(x^7\right)^2}\)
\(=\frac{e^{4x}\left(4x-7\right)}{x^8}\)
Hence, the differentiation of the given function is \(\frac{d}{dx}\left(\frac{e^{4x}}{x^7}\right)=\frac{e^{4x}\left(4x-7\right)}{x^8}\)
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Help plsss!!!
Quadrilateral A' B' C' D' is the image of quadrilateral A B C D under a translation.
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a translation of 2 units to the right and 5 units to left.
Given information:
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD.
In Euclidean geometry, a translation is a geometric transformation that entails shifting each point in a figure, shape, or space by the same amount in one direction.
A translation may also be conceived of as changing the coordinate system's origin or as adding a constant vector to each point.
As per the diagram:
A(-5, 3) translates to A'(-3, -2).
As per the translation rule:
A translates to A' as per the rule of 2 units to the right and 5 units to left.
Similarly, all the remaining coordinates follow the same translation rule.
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