Answer:
[tex]42 \times 48[/tex]
Step-by-step explanation:
[tex]25 \times 36=900\\52 \times 63=3276[/tex]
[tex]34 \times 42 = 1428\\ 43 \times 24=1032[/tex]
[tex]54 \times 56 = 3024\\45 \times 65= 2925[/tex]
[tex]42 \times 48 = 2016\\ 24 \times 84= 2016[/tex]
[tex]32 \times 43 = 1376\\ 23 \times 34=782[/tex]
The calculation for [tex]42 \times 48[/tex] has the same results from switching the digits.
Answer:
25 × 36 = 900
52 × 63 = 3 276
34 × 42 = 1 428
43 × 24 = 1 032
54 × 56 = 3 024
45 × 65 = 2 925
42 × 48 = 2 016
24 × 84 = 2 016
32 × 43 = 1 376
23 × 34 = 782
A bridge constructed over a bayou has a supporting arch in the shape of an inverted parabola. Find the equation of the parabolic arch if the length of the road over the arch is 100 meters and the maximum height of the arch is 40 meters.
Answer:
y = (-2/125)(x - 50)² + 40
Step-by-step explanation:
The total length of the bridge is 100 meters.
Maximum height always occurs at midpoint of x.
So for x=50 meters , y = 40 meters.
As the vertex is given at the maximum height, Vertex can be defined at the point (50,40)
We know that the general equation for vertical parabola is:
y = a(x - h)² + k
Where (h,k) = Vertex = (50,40)
Substitute in the equation:
y = a(x - 50)² + 40 ⇒ Equation (i)
We know 2 more points on the parabola. We know that when x=0 , y=0 and we also know that when x=100m, y=0 meters.
Substitute any point in the above equation
Substituting (100,0) in the equation
0 = a(100 - 50)² +40
Solve the equation for a:
a = - 2/125
Substitute a in Equation (i)
y = (-2/125)(x - 50)² + 40
Compute the permutations and combinations. A company has 10 men qualified to run a machine that requires 3 operators at a time. Find how many groups of 3 operators are possible. 240 720 120
Answer:
120
Step-by-step explanation:
To solve this question we would be using combination formula.
The formula for combination is given as:
C(n, r) = nCr
nCr = n!/r! ×(n - r)!
In the above question,
n = 10 men
r = 3 operators
Hence,
nCr = n!/r! × (n - r)!
10C3 = 10! /3! × (10 - 3)!
10C3 = 10!/3! × 7!
10C3 = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 /(3 × 2× 1 ) ×(7 × 6 × 5 × 4 × 3 × 2 × 1)
10C3 = 10 × 9 × 8 / 3 × 2× 1
10C3 = 720/6
10C3 = 120
Therefore, the number of groups of 3 operators that are possible is 120.
(a) The perimeter of a rectangular parking lot is 332 m.
If the width of the parking lot is 75 m, what is its length?
Length of the parking lot:
m
Answer:
Step-by-step explanation:
Perimeter of the rectangle = 332m
Perimeter of a rectangle = 2(L+b)
Breadth = 75m
= 2 ( L + 75) = 332
2L + 150 = 332
2L = 332-150
L = 182/2
L= 91m
The temperature changed from 78°F to 70°F in the past hour. Write an absolute value statement to describe how much the temperature decreased.
Answer:
|78|-|70| = 8
Step-by-step explanation:
What is the surface area of a right cylinder which has a base with radius 9 units and has a height of 12 units?
Answer: C
Step-by-step explanation:
The formula for surface area of a cylinder is A=2πrh+2πr². Since we know the radius and height, we can directly plug it into this formula to find surface area.
A=2π(9)(12)+2π(9²)
A=2π(108)+2π(81)
A=216π+162π
A=378π
A=1186.92 units²
2+2=4 then what is 4+4 ps. just get some brainly points
Answer:
8
Step-by-step explanation:
because yes.
How is the expression (5 + y) ⋅ 8 described by its factors and terms? It has two factors and the factor (5 + y) has one term. It has three factors and the factor (5 + y) has one term. It has three factors and the factor (5 + y) has two terms. It has two factors and the factor (5 + y) has two terms.
Answer:
A
It has two factors and the factor (5 + y) has one term.
Step-by-step explanation:
5 + y is one term because y is just 1 term
pls brainliest
Which is the expected value of the random variable with the given probability distribution?
a 5.65
C. 12.52
b. 100.44
d. 5
Please select the best answer from the choices provided
A
B
С
D
The probability distribution is given below:
[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]
Answer:
C. 12.52
Step-by-step explanation:
Given the probability distribution below:
[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]
Expected Value of the random variable
=(0 X 0.33)+(1 X 0.32) +(5 X 0.24) +(10 X 0.10) + (1000 X 0.01)
=0+ 0.32+1.2+1+10
=12.52
The correct option is C.
Answer:
D
Step-by-step explanation:
The probability of an outcome that lies within 95% of the mean is a good indicator that it lies in which standard deviation?
a. There is a probability that the outcome is within 1 standard deviation of the mean.
b. There is a probability that the outcome is within 2 standard deviations of the mean.
c. Standard deviations are not reliable, so the probability cannot be determined.
d. There is a probability that the outcome is within 3 standard deviations of the mean.
Answer:
answer b
Step-by-step explanation:
Answer b is definitely the correct one.
The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.
The probability of an outcome that lies within 95% of the mean is a good indicator b is definitely the correct one.
We have given that,
a. There is a probability that the outcome is within 1 standard deviation of the mean.
b. There is a probability that the outcome is within 2 standard deviations of the mean.
c. Standard deviations are not reliable, so the probability cannot be determined.
d. There is a probability that the outcome is within 3 standard deviations of the mean.
What is the Empirical Rule state?The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.
The probability of an outcome that lies within 95% of the mean is a good indicator b is definitely the correct one.
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For which of these ARMs will the interest rate stay fixed for 4 years and then be adjusted every year after that?
Answer: 4 years is 4/1
6 years is 6/1
How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution? 11 L 15 L 25 L
10 L of a 25% acid solution contains 0.25 * (10 L) = 2.5 L of acid.
Adding x L of pure water dilutes the solution to a concentration of 10%, such that
(2.5 L)/(10 L + x L) = 0.10
Solve for x :
2.5 = 0.10 * (10 + x)
2.5 = 1 + 0.10x
1.5 = 0.10x
15 = x
so 15 L of pure water are needed.
A company makes glass lawn ornaments with a radius of 9 inches. The glass to make the balls costs the company $0.03 per
square inch. To the nearest cent, how much does the company pay for the glass to create one omament? Use 3.14 for
Recall the formula SA=472
$3.39
$6.78
$30.52
$122.08
Answer: $30.52
Step-by-step explanation:
Hi, to answer this question we have to calculate the surface area of the ornament:
Surface Area of a sphere = 4π r²
Replacing with the values given:
A = 4(3.14) (9)² = 1,017.36in2
Finally, we have to multiply the surface area by the price per square inch of glass.
1,017.36 (0.03)= $30.52
Feel free to ask for more if needed or if you did not understand something.
Answer:
$30.52
Step-by-step explanation:
4 x 9^2 x 3.14 x 0.03 = around 30.52
A trust fund yields a 6% simple interest dividend to its members' accounts every month. If a member has $5,000 in the fund's account, how much money would be in that account after 3 months? **100 points and will give brainliest
Answer:
I believe that the answer would be $4,100
Step-by-step explanation:
5,000x0.06x3=900
5,000-900=4,100
without seeing a figure is it possible to give another name for
Answer:
no
Step-by-step explanation:
At a sale this week, a sofa is being sold for $429. This is a 34% discount from the original price. What is the original price
Answer:
$574.86
Step-by-step explanation:
429 + 34% = $574.86
ΔABC has been translated right to create triangle ΔXYZ. Based on this information, which of the following is a true statement? answers: A) ≅ B) ≅ C) ∠A ≅ ∠C D) ∠B ≅ ∠X
Answer:
None. (or B)
Step-by-step explanation:
A) AC≅ZY
B) AZ≅
C) ∠A ≅ ∠C
D) ∠B ≅ ∠X
Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.
The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
What is translation transformation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Given that, Δ ABC has been translated right to create triangle Δ XYZ
We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.
That means Δ ABC ≅ Δ XYZ Therefore, we get,
Congruent parts are;
Angles:-
∠ A ≅ ∠ X,
∠ B ≅ ∠ Y and
∠ C ≅ ∠ Z
Side:-
AB ≅ XY,
BC ≅ YZ and
AC ≅ XZ
Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
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Susan wants to make 2 square flags to
sell at a crafts fair. The fabric she wants
to buy is 5 meters wide. She doesn't
want any fabric left over. What's the
least amount of fabric she should buy?
Answer:
10 meters
Step-by-step explanation:because they are square and they would have to be 5 meters long and she dose not want any left over so...
Purple square equals to ________?
Answer: its 3
Step-by-step explanation:
Answer: 2
Step-by-step explanation: Because their are 2 squares
Given that tan θ = –8∕15 and θ is in quadrant IV, find sin θ. Question 19 options: A) 15∕17 B) –15∕17 C) –8∕17 D) 8∕17
Answer: C
Step-by-step explanation:
In the quadrant IV, it is only a cos θ that is positive.
Given that tan θ = –8∕15
Where tan θ = opposite ÷ adjacent
Where opposite = 8 and adjacent = 15
We can find the hypothenus by using pythagorean theorem
Hypothenus = sqrt(15^2 + 8^2)
Hypothenus = sqrt(289)
Hypothenus = 17.
Sin θ = opposite ÷ hypothenus
Sin θ = 8/17
Since Sin θ is also negative in the fourth quadrant, therefore
Sin θ = - 8/17
Option C is correct.
Line j is a straight line. Line j is a straight line. 2 lines come out of the line to form 4 angles. From top left, clockwise, the angles are: x, y, z, w. Which equation represents the relationship between the measures of Angle w and Angle z? Measure of angle w = measure of angle z Measure of angle w + measure of angle z = 90 degrees Measure of angle w + measure of angle z = 100 degrees Measure of angle w + measure of angle z = 180 degrees
Answer:
c
Step-by-step explanation:
In the given line the relationship between angle w and z is Measure of angle w + measure of angle z = 180 degrees.
What is a supplementary angle?This is the type of angle that when measured, two of the angles would sum up to 180 degrees.
The supplementary angle is the sum of angle w + angle z = 180 degrees. Hence c is correct.
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What is the surface area of the triangular prism? A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet. 2,001 square feet 2,376 square feet 2,592 square feet 4,320 square feet
Answer:
Surface area of triangular prism is:
Surface area = 2376ft
Step-by-step explanation:
A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up
Surface Area (rectangle) = Length · Width
Surface Area (triangle) = (1/2)(Base)(Height)
Rectangular side 1:
Length = 40 ft
Width = 24 ft
Surface Area = 40 · 24
Surface Area = 960ft
Rectangular side 2:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Rectangular side 3:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Triangular side 1:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
Triangular side 2:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
SURFACE AREA OF TRIANGULAR PRISM:
Add all surface areas found above
Surface area = 960 + 600 + 600 + 108 + 108
Surface area = 2376ft
Answer:
Answer:
(B) Surface area of triangular prism is:
Surface area = 2376ft
Step-by-step explanation:
A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up
Surface Area (rectangle) = Length · Width
Surface Area (triangle) = (1/2)(Base)(Height)
Classify the following triangle as acute, obtuse, or right.
80°
A. Obtuse
B. Acute
C. Right
D. None of these
Answer: I'm guessing it's acute
Step-by-step explanation:
Since all the angles are less that 90 degrees, it can't be right or obtuse. I'm gonna say acute
what is the factored form of[tex]-2mn + 5m^3n^2[/tex]
Step-by-step explanation:
factor out mn ..polynomial
[tex] - 2 + 5n {}^{4} \: is \: not \: factored \: as \: it \: dosent \: hav e \: any \: rational \: roots \: \\ mn( - 2 + 5n {}^{2} n {}^{2} )[/tex]
Solve the inequality. 3(7z + 1) less than 3 The solution set is z | ?
Answer:
z=1
Step-by-step explanation:
3x7z+1
21z+3
divided by 3
7z
divide by 7
z=1
Answer:
Z<0
Step-by-step explanation:
21z+3<3
21z<3-3
21z<0
Z<0
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:B.
Step-by-step explanation:
Please help me is about polynomials
Answer:
(x + 3)(x² – 3x + 7)
Step-by-step explanation:
To express x³ + 2x + 21 in the form of (x + 3)(px² + qx + r),
we need to divide (x³ + 2x + 21) by
(x + 3), since (x + 3) is a factor of
(x³ + 2x + 21)
See attached photo on how to divide (x³ + 2x + 21) by (x + 3).
From the attached photo,
(x³ + 2x + 21)/ (x + 3) = x² – 3x + 7
Therefore,
x³ + 2x + 21 => (x + 3)(px² + qx + r)
x³ + 2x + 21 => (x + 3)(x² – 3x + 7)
Which out of the options is correct? Merci!
Answer:
C
Step-by-step explanation:
The answer is C because 1 * 2 = 2, 2 * 2 = 4, and 4 * 2 = 8.
2. Which of the following methods can't be used to find the zeros of a function?
options:
A. Substitute x = 0 in the function and solve for f(x).
B. Graph the function using a table of values.
C. Factor the function and apply the zero-product property to its factors.
D. Apply the quadratic formula.
Answer:
The correct option is;
Substitute x = 0 in the function and solve for f(x)
Step-by-step explanation:
The zeros of a function are the values of x which produces the value of 0 when substituted in the function
It is the point where the curve or line of the function crosses the x-axis
A. Substituting x = 0 will only give the point where the curve or line of the function crosses the y-axis,
Therefore, substituting x = 0 in the function can't be used to find the zero's of a function
B. Plotting a graph of the table of values of the function will indicate the zeros of the function or the point where the function crosses the x-axis
C. The zero product property when applied to the factors of the function equated to zero can be used to find the zeros of a function
d, The quadratic formula can be used to find the zeros of a function when the function is written in the form a·x² + b·x + c = 0
Answer: Substitute x = 0 in the function and solve for f(x).
Step-by-step explanation:
On Wednesday, a local hamburger shop sold a combined total of 372 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
93 hamburgers
Step-by-step explanation:
let cheeseburgers=c
let hamburgers=h
c=3h
c+h=372
Substitute c for 3h
3h+h=372
4h=372
h=93
c=h*3=93*3=279
279 cheeseburgers 93 hamburgers
Can someone help I’m struggling