22 has factors of 1, 2, 11, 21, so it is a composite number.
15 has factors of 1, 3, 5, 14, so it is a composite number.
13 has factors of 1, 13, so it is a prime number.
12 has factors of 1, 2, 3, 4, 6, 12, so it is a composite number.
13 is the only prime number in this set.
HELP ME ASAP!!
How many ways can four freshmen be chosen from eighteen to be members of the leadership board?
Answer:
trying your best I would say
hope this helps
How do I get the result for 1/8 out of 40?
Answer:
5
Step-by-step explanation:
You divide your number by the denominator and then times it by the numerator
Snow-House sells a $1,248 snow thrower on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $116 each. What is the total cost of the snow thrower on the installment plan?
The total cost of the snow thrower on the installment plan is $1,641.60.
To find the total cost of the snow thrower on the installment plan, we will first calculate the down payment and then add the total monthly payments. Here's the step-by-step explanation:
1. Calculate the down payment:
Down payment = 20% of the original price
Down payment = 0.20 * $1,248
Down payment = $249.60
2. Calculate the total of the 12 monthly payments:
Total monthly payments = 12 * $116
Total monthly payments = $1,392
3. Calculate the total cost on the installment plan:
Total cost = Down payment + Total monthly payments
Total cost = $249.60 + $1,392
Total cost = $1,641.60
So, the total cost of the snow thrower on the installment plan is $1,641.60.
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what is the equation of line
A and B
17 POINTS
Line A:
y=4
Line B:
x = 8
If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
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find f(2) PLEASE HELP SOLVE!! MATH!!!
The numeric value of the function f(x) = 14/[3 + ae^(kx)] at x = 2 is given as follows:
f(2) = 0.172.
How to obtain the numeric value of the function?The function for this problem is defined as follows:
f(x) = 14/[3 + ae^(kx)]
When x = 0, y = 2, hence we can obtain the coefficient a as follows:
2 = 14/(3 + a)
6 + a = 14
a = 8.
Hence:
f(x) = 14/[3 + 8e^(kx)]
When x = 1, y = 1/2, hence the coefficient k is given as follows:
0.5 = 14/(3 + 8e^k)
1.5 + 4e^k = 14
4e^k = 12.5
e^k = 12.5/4
k = ln(12.5/4)
k = 1.14.
Hence:
f(x) = 14/[3 + 8e^(1.14x)]
Then the numeric value of the function at x = 2 is given as follows:
f(2) = 14/[3 + 8e^(1.14(2))]
f(2) = 0.172.
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Taylor is building doghouses to sell. Each doghouse requires 4 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 12 sheets.
How many doghouses can Taylor make from 16 bundles of plywood?
Answer: 48 doghouses
Step-by-step explanation:
We will look at the details given, then we will perform the necessary operations to solve the problem.
16 bundles of plywood * 12 sheets in a bundle = 192 sheets
192 total sheets / 4 sheets to build a dog house = 48 doghouses
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4. Calculate the Social Security and Medicare tax that would be applied to an annual salary of $56,400.
Answer:759
Step-by-step explanation:
each friend received 5/4 of a pound of berries, how many friends are sharing berries?
Answer:
2
Step-by-step explanation:
If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.
Consider parallelogram QRST below. Use the information given in the figure to find m
The missing values are
<UTQ = 41 degree
x= 1
<UQT = 47 degree
We have a parallelogram QRST.
We know that the opposite sides of the parallelogram is equal and parallel then
QR || ST
QT || SR
Then, <SRT = <RTQ (<UTQ) (alternate Interior Angle)
<UTQ = 41
Similarly, <UQT = <SRQ = 47
Now, RU = UT
2x + 1= 3
2x = 2
x= 1
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Could someone please help here in so lost
Answer:
x=3
(26x+50degreese) = 134 degreese
Step-by-step explanation:
Mitch bought 4.6 feet of fabric. Each foot cost $3.50. How much did he spend in all on fabric?
Answer:
$16.10
Step-by-step explanation:
He spent $16.10 in total. Because 3.5 x 4.6 feet = 16.1
Answer:
$16.10
Step-by-step explanation:
3.50 x 4.6 = 14 + 2.10
what’s 6.6428571 rounded to the nearest hundredth
Answer:
6.64
Step-by-step explanation:
The nearest hundredth is the second digit after the decimal point.
6.6428571 rounded to the nearest hundredth is 6.64
Area and perimeter assignment. (9th Grade geometry)
Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
Explain about the perimeter:A path that encircles a region is referred to as a perimeter. Adding the lengths of every one of the sides together is the simplest formula for calculating the perimeter. The word circumference, that only encompasses a circle's perimeter, is used to describe the distance around a circle.
Given that:
coordinates of triangle: A(5,3) , B(1,5) and C(3,0)Perimeter = sum of all sides
Perimeter = AB + BC + CA
Estimate each distance using the distance formula:
d = √(x2 - x1)² + (y2 - y1)²
AB = √(1 - 5)² + (5 - 3)²
AB = √(-4)² + (-2)²
AB = √(16 + 4)
AB = √20
BC = √(3 - 1)² + (0 - 5)²
BC = √(2)² + (-5)²
BC = √(4 + 25)
BC = √29
CA = √(5 - 3)² + (3 - 0)²
CA = √(2)² + (3)²
CA = √(4 + 9)
CA = √13
Perimeter = AB + BC + CA
Perimeter = √20 + √29 + √13
Perimeter = 4.47 + 5.38 + 3.60
Perimeter = 13.45 units.
Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
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Justin has ridden 34 miles of a bike course. The course is 40 miles long. What percentage of the course has Justin ridden so far?
85%
Step-by-step explanation:Justin has ridden 34 miles out of 40 miles. This can be expressed as a fraction, 34/40.
If you carry out the division 34 ÷ 40, you get 0.85. This is the proportion of the course that Justin has ridden, and is always less than one. To convert this to a percentage, you multiply it by 100:
0.85 * 100 = 85%
A wire is 71cm long . you wish to cut it into two pieces. One piece is bent into shape of triangle with legs of equal length .The piece is to be bent into shape of circle .
To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)
The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)
The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)
Solving for\(\(x\),\) we divide both sides of the equation by 3:
\(\(x = \frac{71}{3}\).\)
Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.
The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:
\(\(x = 2\pi r\).\)
Substituting the value of x we found earlier, we have:
\(\(\frac{71}{3} = 2\pi r\).\)
Solving for r, we divide both sides of the equation by \(\(2\pi\):\)
\(\(r = \frac{71}{6\pi}\).\)
Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.
In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.
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A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?
Answer:
286.94 cm
Step-by-step explanation:
Data:
Area = 8,607
b1 = 105
b2 = 123
Area = 1/2 * (b1 + b2) * h
h = 2 * Area/b1 + b2
h = 2 * 8,607/105 + 123
h = 286.94 cm
I'm not sure if it's right but that's what my calculator gave me.
20 points need help asap
Answer:
y=85x
Step-by-step explanation:
I did 255 divided by 3 and I got my answer and I put it in and than you get the answer!
Please make me brainliest!!!!
y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the set of heights that satisfy this requirement? դոր:ռռռռռռիսցերա դյուրիսիդերին դիա 56 50 51 55 57 - + 50 55 57 50 51 52 53 54 55 56 57 58 50 51 52 53 54 55 56 57 58
54 is one of the heights, so there would be a solid dot on 54. Because you need to be taller, the arrow would point to the right from the solid dot at 54 inches.
The correct graph is C ( the third one down)
The graph that represents the set of heights that satisfy this requirement is the third graph.
Which graph satisfy this requirment?The requirment is that the heights of the people who ride the roller coaster should be at least 54 inches. This means that the height of the riders can be 54, 55, 100 0r 120.
Thus the graph that represents this is the graph that has a coloured circle on 54 and extends to number greater than 54.
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2x + 2 = 5x -8 simplify
Enter the number 46.1979 below exactly (no rounding)
The number that is below 46.1979 exactly and without any rounding up is 46.1978.
What number is below 46.1979?The number that is below another will depend on the last digit of the original number.
That last digit determines the relative position of a number in the number line so it will give a clue to the number below it.
In the case of 46.1979, the last number is 0.0009 which means that the digit below this one is 0.0008.
The number below it would therefore be 46.1978.
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Is 6 inches in 10 seconds proportional to 12 inches in 60 seconds?
Answer: No
Step-by-step explanation:
to be proportional, both numbers have to increase by the same number
because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in
Use the graph of f(x) to find the solutions to the equation f(x)=0.
Answer:
x = -4, 7
Step-by-step explanation:
Pre-SolvingWe are given the graph of the function f(x), and we want to find the values that make the statement f(x) = 0.
f(x) = 0 means that there are certain values that make the value of f(x) (which can be considered as y) equal to 0.
SolvingWe can look to the graph to help us - we should look at where y is equal to 0, which is the x-axis.
On the x-axis, we can see that the function passes through both -4 and 7 (the graph goes up by 1) on that line.
As coordinate points, they are written as (-4,0) and (7,0).This means that when either -4 or 7 are substituted into the function (i.e. when they are equal to x), they will make the function equal 0.
So, it means that x = -4, 7.
Find the missing length. Then find the area and perimeter of the composite figure.
10: Missing length, x = 16 cm
area of the composite figure = 240 cm²
perimeter = 72 cm
11: Missing length, x = 37 mm
area of the composite figure = 240 mm²
perimeter = 90 mm
How to find the missing length, area and perimeter of the composite figure?To find the area and perimeter of a composite figure, you can break it down into simpler shapes such as triangles, rectangles, circles, etc. and then find the area of each individual shape and add them together.
No. 10
You will notice that the triangle is sharing one side with the square. And the length of the side is 12 cm. Thus:
x = √(20² - 12²) (Pythagoras)
x = 16 cm
area of the figure = area of square + area of triangle
area of the figure = L² + (1/2 * base * height)
area of the figure = 12² + (1/2 * 16 * 12)
area of the figure = 240 cm²
perimeter = 12 + 12 + 12 + 20 + 16 = 72 cm
No. 11
You will notice that the small triangle is sharing one side with the big triangle. And the length of the side is unknown. Let's call it y. Thus:
y = √(13² - 5²) (Pythagoras)
y = 12 mm
x = √(35² + 12²) (Pythagoras)
x = 37 mm
area of the figure = area of small triangle + area of big triangle
area of the figure = (1/2 * base * height) + (1/2 * base * height)
area of the figure = (1/2 * 5 * 12) + (1/2 * 35 * 12)
area of the figure = 240 mm²
perimeter = 5 + 13 + 37 + 35 = 90 mm
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Please awnser asap I will brainlist
Answer:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Step-by-step explanation:
Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.
Write the equations:
V + S + L = 310 (total number of vehicles)
V = 2S (twice as many vans as small trucks)
35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)
Substitute equation 2) into equation 1):
2S + S + L = 310
3S + L = 310
Simplify equation 3) by substituting V = 2S:
70,000S + 70,000S + 60,000L = 15,000,000
140,000S + 60,000L = 15,000,000
Set up a system of equations:
3S + L = 310
140,000S + 60,000L = 15,000,000
Eliminate L by multiplying equation 1) by 60,000:
60,000(3S + L) = 60,000(310)
180,000S + 60,000L = 18,600,000
Subtract equation 2) from the new equation:
(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000
40,000S = 3,600,000
Solve for S:
S = 90
Substitute the value of S into equation 1) to solve for L:
3(90) + L = 310
270 + L = 310
L = 40
Substitute the values of S and L into equation 2) to solve for V:
V = 2S
V = 2(90)
V = 180
The final answer is:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Answer:
180 Vans 90 Small trucks and 40 Large trucks
Step-by-step explanation:
Watch help video
Find the y-coordinate of the y-intercept of the polynomial function defined below.
f(x) = 2x(x - 3)
Answer:
Submit Answer
Which choice shows the next step to solve the equation 3(x - 5) -
2(4x + 1)?
A. 3x - 5 = 8x + 1
B. 3x + 5 = 8x + 2
C. 3x - 15 = 8x + 2
D. 3x - 15 = 8x + 1
Find the sum. Express the answer in scientific notation.
(8.7 x 10°)+(4.58 x 10')
O 1.328x108
1.328 x 1010
13.28 x 10°
13.28 x 1018
Answer: A
Step-by-step explanation:
The sum of \(8.7 \times 10^9\) and \(4.58 \times 10^9\) in scientific notation is \(13.28 \times 10^9\).
To find the sum of \((8.7 \times 10^9)\) and \((4.58 \times 10^9)\) and express it in scientific notation.
we need to add the coefficients and keep the same exponent.
\(8.7 \times 10^9 + 4.58 \times 10^9\)
\(= (8.7+4.58)\times 10^9\)
\(= 13.28 \times 10^9\)
Therefore, the sum of \(8.7 \times 10^9\) and \(4.58 \times 10^9\) in scientific notation is \(13.28 \times 10^9\).
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Complete question:
Find the sum. Express the answer in scientific notation.
(8.7 x 10⁹)+(4.58 x 10⁹)
1.328x10⁸
1.328 x 10¹⁰
13.28 x 10⁹
13.28 x 10¹⁸
Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230. Find the probability that next year there will be no snowfall in that town on January 1.
1. 0.770
2. 4.348
3. 0.299
4. 1.230
The probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 0.770
The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.
Now, WE get;
the probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 1 - P (snowfall)
P (no snowfall) = 1 - 0.230
P (no snowfall) = 0.770
Thus, The probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 0.770
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