The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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There are abotu 16 kilometers in 10 miles. about how many kilometers are in 5 miles
Answer:
8
Step-by-step explanation:
Answer:
Step-by-step explanation:
18 miles
my son is 12 years old and his brother is 6 years time Johnson will be twice as old as his brother how old are they now
Answer:
12
Step-by-step explanation:
Brainly pls
Answer:
12 or 24
Step-by-step explanation:
Son 1 is 12, Son 2 is 6. In 6 years, Son 2 will be 12. However in 12 years, Son 1 will be 24. Your question isn't worded the best for me to figure
out which is supposed to be.
List the sample space for rolling a fair 12-sided die.
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
S = {1}
S = {12}
The sample space for rolling a fair 12-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
What is sample space?Sample space is a set of all possible outcomes of an experiment or random event. It is the collection of all possible results or outcomes that can occur when a particular event is performed.
In the given question,
The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is rolling a fair 12-sided die. The sample space would include all possible values that the die can land on when rolled.
Since a 12-sided die has 12 equally likely outcomes, the sample space would consist of the numbers 1 through 12. However, only one of the options presented in the question includes all 12 numbers in the sample space, which is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Option S = {1, 2, 3, 4, 5, 6} represents the sample space of a regular 6-sided die, while options S = {1} and S = {12} only include one possible outcome, which is not applicable for a 12-sided die.
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Erik works 55 hours a week making $12.50 hour? His employer pays time and a half for hours over 40. Find his gross pay.
Answer:
781.25
Step-by-step explanation:
Regular pay = 40*12.50 = 500.00
Overtime = 15*12.5*1.5 = 281.25
Gross pay = 500.00 + 281.25 = 781.25
The perimeter of a triangle is 84 feet. Find the length of the three sides if the middle length side is 5 feet greater than twice the length of the smallest side, and the longest side is 5 feet les than 3 times the length of the smallest side?
Answer: Smaller side = 14ft
middle side = 33ft
Larger side = 37ft
Step-by-step explanation:
This triangle has 3 sides, defined by the variables:
S = length of the smallest side.
M = length of the middle side.
L = length of the larger side.
And the perimeter of a triangle is equal to the addition of the length of each side of the triangle.
We also know that:
M = 5ft + 2*S
L = 3*S - 5ft
84ft = S + M + L.
The first step is to replace the first and the second equation into the third, so we can solve it for S.
84ft = S + (5ft + 2*S) + (3*S - 5ft)
84ft = 6*S
84ft = 6*S
84ft/6 = 14ft = S.
Now that we found the length of the shorter side, we can replace it in the above equations to find the length of the other two sides:
M = 5ft + 2*S = 5ft + 2*14ft = 33ft
L = 3*S - 5ft = 37ft
-2(7-15)
What is the value of
O 2
Please I need help
The answer to this is 16
if f(x)=sqrt x which equation describes the graphed function?
A. g(x) = f(-x) + 2
B. g(x) = -f(x + 2)
C. g(x) = -f(x) + 2
D. g(x) = f(-x + 2)
The equation that describes the graphed function is Option C: g(x) = -f(x) + 2.
The given function is f(x) = √x, which represents the square root function. To determine which equation describes the graphed function, we need to analyze the transformations applied to the original function.
Option A, g(x) = f(-x) + 2:
This equation represents reflecting the graph of f(x) across the y-axis (due to the negative sign in front of x) and then shifting it vertically upward by 2 units. However, this transformation does not match the graph of f(x) = √x.
Option B, g(x) = -f(x + 2):
This equation represents taking the negative of the original function f(x) and shifting it horizontally left by 2 units. This transformation does not match the graph of f(x) = √x.
Option C, g(x) = -f(x) + 2:
This equation represents taking the negative of the original function f(x) and shifting it vertically upward by 2 units. This transformation matches the graph of f(x) = √x.
Option D, g(x) = f(-x + 2)
This equation represents reflecting the graph of f(x) across the y-axis (due to the negative sign in front of x) and shifting it horizontally right by 2 units. This transformation does not match the graph of f(x) = √x.
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What is the sum of the interior angles of the polygon shown below
Answer:
900
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides is given by the formula:
\(S=(n-2)180\)
The polygon given has 7 sides. Substitute 7 for n. Thus:
\(S=(7-2)180\\S=5(180)\\S=900\)
The sum of the interior angles is 900 degrees.
In a large population, 58 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693
If 58% = 58÷100 of the people have been vaccinated, then;
1 - (58/100) = 42% = 42÷100 of the people who have not been vaccinated.
Now:
Probability, P( > 1 ), that at least one of the selected four has been vaccinated is given by;
P( > 1 ) = 1 - P(0) -----------(1)
Where;
P(0) = probability that all of the four have not been vaccinated.
P(0) = P(1) x P(2) x P(3) x P(4)×p(5)
Where;
P(1) = Probability that the first out of the four has not been vaccinated
P(2) = Probability that the second out of the four has not been vaccinated
P(3) = Probability that the third out of the four has not been vaccinated
P(4) = Probability that the fourth out of the four has not been vaccinated
P(5)=Probability that the fifth out of the five has not been vaccinated
Remember that 42÷100 of the population has not been vaccinated. Therefore,
P(1) = 42÷100
P(2) = 42÷100
P(3) = 42÷100
P(4) = 42÷100
P(5)=42÷100
P(0) = (42÷100) x (42÷100) x (42÷100) x (42÷100)×(42÷100)
P(0) = (42÷100)⁵
P(0) = (0.42)⁵
P(0) = 0.013067
Therefore, from equation (1);
P( > 1 ) = 1 -0.013067
P( > 1 ) = 0.98693
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693
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A total of 5000 tickets were sold for a raffle. the prizes are $1000, $500, $200, and $100. what price should be charged so there is a 60% profit per ticket?
Answer: $0.576
Step-by-step explanation:
The total amount in prizes is $1800.
For there to be 60% profit, the total cost of the tickets need to be \(1800(1.6)=\$ 2880\).
Thus, each ticket must sell for \(\frac{2880}{5000}=\$ 0.576\)
Choose a number line to model the following situation. After walking 5 steps forward, Julie walked 5 steps backward.
Answer:
B
Step-by-step explanation:
She walked 5 steps foward and stoped. Then turned around and walk back the same distance. So she walked the same place twice once to get their and once to get back to the starting pouint.
Find the perimeter P of
v
OJKLM
with vertices J(-3,-2), K(-5, -5), L(1, -5), and M(3,-2). Round your answer to the nearest tenth, if
necessary
Ť
P=
units
OCT
7
étv
A
W
Р
MacBook Air
12
0
!
A
11
3
$
4
%
5
&
7
4
8
2
9
o
Q
W
E
R
T
O
Р
lab
Answer:
P = 3.6 + 6 + 3.6 + 6 = 19.2 units
Step-by-step explanation:
distance between (-3,-2) and (-5,-5) =
Sqrt[(-5-3)^2+(-5 - -2)^2]
Sqrt (4+9) = 3.6
d = (-5,-5) and (1,-5) =
Sqrt[(1 - - 5)^2 + (-5 - - 5)^2]
= sqrt (36 + 0) = 6
d = (1,5) and (3,-2)
Sqrt[(1 - - 3)^2 + (-5 - - 2)^2]
Sqrt(4+9) = 3.6
d = (3,-2) and (-3,-2)
Sqrt[(-3-3)^2 + (-2 - - 2)^2]
Sqrt (36+0) = 6
If u (x) = negative 2 x squared and v (x) = 1/x, what is the range of (u circle v) (x)? (1/3, 0) (3, infinity) (negative infinity, 3) (negative infinity, positive infinity)
The range of (u ∘ v) (x) is (negative infinity, positive infinity).
To find the range of (u ∘ v) (x), we need to determine the possible output values of the composite function (u ∘ v) (x), which is formed by applying function u to the output of function v.
1. Let's start by evaluating the composite function (u ∘ v) (x):
(u ∘ v) (x) = u(v(x))
2. Substitute v(x) into function u:
u(v(x)) = u(1/x)
3. Replace u(x) with its given expression:
u(1/x) = -2(1/x)^2
4. Simplify the expression:
u(1/x) = -2/x²
5. Now, we need to determine the possible values of -2/x². Since x can take any real value except 0 (as 1/0 is undefined), the expression -2/x² will vary based on x.
6. As x approaches negative infinity, -2/x² approaches 0 from the negative side.
As x approaches positive infinity, -2/x² approaches 0 from the negative side as well.
7. Therefore, the range of (u ∘ v) (x) is (negative infinity, positive infinity), which means that the composite function can take any real value.
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I need help please :)
Answer:
see below
Step-by-step explanation:
f(x) = 4x-3
Let x=-4
f(-4) = 4*-4 -3 = -16-3 = -19
Let x=-3
f(-3) = 4*-3 -3 = -12-3 = -15
Let x=1
f(1) = 4*1 -3 = 4-3 = 1
Let x=4
f(4) = 4*4 -3 = 16-3 = 13
Let x=5
f(5) = 4*5 -3 = 20-3 = 17
Answer:
First one:-19
Second one:-15
Third one:1
Fourth one:13
Fifth one:17
HOPE THIS HELPS :)
Step-by-step explanation:
-3 1/3 divided by 1.2
\( - \frac{25}{9} \)
Hope that helped:)
I'll mark you brainliest
Answer:
1. 35/72
2. 7/16
3. 9/40
4. 10/3
5. 30/49
6. 1/5
Step-by-step explanation:
Answer:
1. 35/72
2. 28/64
3. 18/80
4. 20/6
5. 30/49
6. 8/40
Step-by-step explanation:
You simply multiply the numerators then the denominators. If you're multiplying a fraction by a whole number pretend the whole number is over 1 (4/1 or 5/1 or 11/1) then multiply it by the fraction
Describe a function that takes an input, adds 2, and then multiplies by 4
Answer:
Step-by-step explanation:
Describe a functiDescribe a function that takes an input, adds 2, and then multiplies by 4on that takes aDescribe a function that takes an input, adds 2, and then multiplies by 4n inpDescribe a function that takes an input, adds 2, and then multiplies by 4ut, adds 2, and then multiplies by 4
Simplify. y=(x+1) squared
Answer:
x^2+2x+1
Step-by-step explanation:
Solve the compound inequality .
2w-2<-8 and 4w+3<11
Write the solution in interval notation. If there is no solution, enter 0
Answer: \((-\infty, -3)\)
Step-by-step explanation:
\(2w-2 < -8\\\\2w < -6\\\\w < -3\)
\(4w+3 < 11\\\\4w < 8\\\\w < 2\)
So, the solution is \((-\infty, -3)\)
Help me out with this question (geometry)
Answer:
Number C is the answer
Step-by-step explanation:
The real relation between them is <EBF = 1/2 <ABC
5. Match the steps for constructing a congruent line segment to their pictures.
▼
▼
1. Step 2: Draw a second line
segment that is longer than the
first.
2. Step 4: That intersection is the
final endpoint of the copied
segment.
3. Step 1: Put the point of the
compass on one endpoint of the
segment to be copied. Change the
compass setting so that the
pencil end is just touching the
other endpoint, make a small arc
to see this.
4. Step 3: Without changing the
compass setting, put the
compass point on the new
endpoint on a new line. Make a
small arc that intersects the line.
We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:
Step 1 - Picture a
Step 2 - Picture b
Step 3 - Picture c
Step 4 - Picture c.
What is a line segment?Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.
The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.
A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.
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Answer:
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 8.9 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
The volume of the hemisphere is 1,475.73 cm³.
Step-by-step explanation:
Given that a hemisphere is half a sphere, to determine the volume of a hemisphere with a diameter of 8.9 cm, the following calculation must be performed, knowing that the volume of a sphere is equal to 4/3 πr³, and the radius is half the diameter:
8.9 x 2 = 17.8 / 2 = 8.9
(4/3 x 3.14 x 8.9³) / 2 = X
(1.333 x 3.14 x 704.969) / 2 = X
(4.18666 x 704.969) / 2 = X
2,951.47 / 2 = X
1,475.73 = X
Therefore, the volume of the hemisphere is 1,475.73 cm³.
Hailey made the following statement
"It is impossible to build a rectangular prism with a volume of 40 units it one side measures 5 units."
Key
represents
1 cubic unit
Select the two figures below that prove Hailey's statement is false
Answer:
D
Step-by-step explanation:
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
The 2000 CDC growth charts were developed using a reference population of infants. A pediatrician looks up one of the charts and finds that the 5th percentile for weights of baby boys at 10-1/2 months is 16.7 pounds. This means that ______of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and ______of these baby boys weigh 16.7 pounds or more.
This means that 5% of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and 95% of these baby boys weigh 16.7 pounds or more.
Percentile WeightThe determination is based on the definition of a percentile. A percentile is a value below which a certain percentage of the data falls. So, in this case, if a weight of 16.7 pounds is at the 5th percentile for 10-1/2-month-old baby boys, then 5% of the baby boys in the reference population have a weight of 16.7 pounds or less. This also means that the remaining 95% of the baby boys in the reference population have a weight of more than 16.7 pounds.
The calculation of percentiles is based on the ranking of the data set. The data is first sorted in ascending order and then divided into 100 equal parts, with each part representing a percentile. The value at each percentile is the value below which a certain percentage of the data falls.
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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 2 ft by 2 ft by 12.5 ft. If the container is entirely full and, on average, its contents weigh 0.22 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary.
Answer:
38.81 pounds
Step-by-step explanation:
Considering the definition of right rectangular prism and its volume, the total weight of the contents is 38.81 pounds.
Right rectangular prism
A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.
Volume of right rectangular prism
To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.
That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.
Volume of the container
In this case, you know that:
the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.
So, the volume of the container is calculated as:
7.5 ft× 11.5 ft× 3 ft= 258.75 ft³
Then, the total weight of the contents is calculated as:
258.75 ft³× 0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds
Finally, the total weight of the contents is 38.81 pounds.
Use the expression 9(7 + 2x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points)
Step-by-step explanation:
Part A:
The two factors in 9(7+2x) are 9 and 7+2x
Part B:
First term: 9
Second term: 7+2x
Part C:
9(7+2x)
Open bracket
63+18x
The coefficient is 18x
A. The two factors are 9 and (7+2x).
B. In first factor, only one term and in second factor , two terms i.e. 7 and 2x are present.
C. The coefficient of the variable term is 18.
Algebraic expression:Given expression is;
\(9(7+2x)\)
In given expression, there are two factors fist is 9 and second one is \((7+2x)\)
In first factor, only one term and in second factor , two terms i.e. 7 and 2x are present.
To find the coefficient of variable term, we have to to expand given expression.
\(9(7+2x)=63+18x\)
The coefficient of the variable term is 18.
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Need help picture below
What is a property of all rectangles? A. A rectangle only has two right angles. B. The opposite sides of a rectangle are parallel. C. The diagonals of a rectangle do not have equal length. D. The four sides of a rectangle have equal length.
Answer:
The answer would be B
Step-by-step explanation:
Please HELP ASAP
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on a certain object, the acceleration of the object is 5 /ms2. If the force is changed to 16 N, what will be the acceleration of the object? /ms2
Step-by-step explanation:
Since force doesn't depend on mass and varies directly, you can set up a proportion. group the F's together and the acceleration together, as so
\( \frac{20}{16} = \frac{5}{x} \)
Next, cross m multiply
\(20x = (16)(5)\)
\(20x = 80\)
Lastly, divide by 20
\(x = 4m {s}^{2} \)
The acceleration of the object when force is 16N is 4m/s².
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The force acting on the object varies directly with the object's acceleration.
Therefore, F ∝ a.
F = ka.
20 = 5k.
k = 4.
Now,
16 = 4a.
a = 4.
So, The acceleration is 4m/s²
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