Answer:
(4, 0)
Step-by-step explanation:
The circumference of a circle is \(2 \pi r\) where r is the radius.
In this case, \(2 \pi r = 10 \pi\). Divide both sides of the equation by \(2\pi\) to get
\(r=5\)
The center of the circle is on the x-axis, so the intercepts are 5 units to the left of the center and 5 units to the right of the center. The two intercepts are (-1-5, 0) and (-1+5, 0). The point that is on the positive x-axis is (4, 0).
See attached image.
Charlie's Chocolate Factory has two machines that can together produce 14,000 chocolate bars in 1 day. If machine B has a capacity of 3 times as many as machin how many chocolate bars can each machine produce in 1 day?answer
Answer:
Chocolate produced in 1 day by Machine A= 14,000
Chocolate produced in 1 day by Machine B= 2.5 times of Machine A
Chocolate produced by Machine B=
4</strong><strong>.</strong><00X2.5=35</ strong><strong>,</strong>00
Hope this helps
The cost of a jacket increased from $75.00 to $84.75. What is the percentage increase of the cost of the jacket?
A.
1.3%
B.
87%
C.
13%
D.
9.75%
Answer:
c) 13%
Step-by-step explanation:
Given information,
→ The cost of a jacket increased from the price $75.00 to $84.75.
Now we have to,
→ find the % increase of cost of jacket.
Let's solve the problem,
→ ((84.75 - 75)/75) × 100
→ (9.75/75) × 100
→ 0.13 × 100
→ 13%
Hence, the answer is 13%.
Neve has 12 full boxes of jars of slime and 7 loose jars of slime. If Neve has a total of 187 jars of slime, which equation can be used to find the number of jars in each box?
Answer:
15 jars in each box
Step-by-step explanation:
linear equation:
12*N + 7
Now we know that Neve has 187 jars in total, then we can write:
12*N + 7 = 187
We want to find the value of N, which is the number of jars in each box, so we need to solve the linear equation:
12*N + 7 = 187
12*N = 187 - 7
12*N = 180
N = 180/12 = 15
From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches. From Thursday to Friday, the depth changed by half as much. What is the change in the depth of the snowdrift from Thursday to Friday?
Answer:
From Thursday to Friday, the change in the depth was 19/16 inches
or as a mixed number, 1 3/16 inches
Step-by-step explanation:
From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches
now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8
so, 2 3/8 = 19/8 inches = depth change from monday to thursday
From Thursday to Friday, the depth changed by half as much,
so,
depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)
depth change from thursday to friday = 1/2(19/8) = 19/16 inches
Q.1
According to the Department of Food and Nutrition, the recommended daily allowance (RDA) of calcium for adults is 800 mg. A nutritionist thinks that people with income below poverty level average less than RDA of 800 mg. intakes of calcium were determined for a sample of 40 people with income below poverty level. The results are obtained in the following frequency distribution. Compute the quartiles.
Intake (mg) Frequency
101-200 1
201-300 1
301-400 9
401-500 13
501-600 10
601-700 6
The quartiles of the distribution are given as follows:
First quartile: 350.5 mg.Second quartile: 450.5 mg.Third quartile: 550.5 mg.How to obtain the quartiles of the distribution?The sample size of the distribution is of:
n = 40.
The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:
Position: 0.25 x 40 = 10.Value: 350.5 mg -> mid-point of the bounds of 301 and 400.The second quartile is the value that is greater than 50% of the distribution, hence it is the value at the position which is 50% of the sample size, hence:
Position: 0.50 x 40 = 20.Value: 450.5 mg.The third quartile is the value that is greater than 75% of the distribution, hence it is the value at the position which is 75% of the sample size, hence:
Position: 0.75 x 40 = 30.Value: 550.5 mg.More can be learned about the quartiles of a distribution at https://brainly.com/question/9265525
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Estimated the answer below to within 10 % above or below14.4/15x5
Given:
\(\frac{14.4}{15}\times5\)Required:
To estimate the answer for the given expression.
Explanation:
Consider
\(\begin{gathered} \frac{14.4}{15}\times5 \\ \\ =0.96\times5 \\ \\ =4.8 \\ \\ \approx5 \end{gathered}\)Final Answer:
\(\frac{14.4}{15}\times5\approx5\)9. The reflection of J(-1,11) is J'(-1,-11). What is the reflection of D(5,-5) if the point is
reflected across the same line?
What is the line of reflection?
Two wires are attached to a pole and create similar triangles with the ground. The longer wire is attached to the ground 32 feet from
the base of the pole and the shorter wire is attached to the ground 16 feet from the base of the pole.
If the cosine of the angle formed by the shorter wire and the ground is 8/41, what is the length of the longer wire?
Please help im so confused!
The length of the longer wire is 82 feet.
Let's denote the length of the longer wire as L. According to the given information, the shorter wire is attached to the ground 16 feet from the base of the pole, and the longer wire is attached to the ground 32 feet from the base of the pole.
We can form two similar right triangles using the wires. The height of each triangle is the height of the pole, and the base of each triangle is the distance from the base of the pole to where the wire is attached to the ground.
In the first triangle, the shorter wire creates an angle with the ground. Let's denote this angle as θ. Since we are given the cosine of this angle, we can use the cosine function to find the height of the pole in terms of θ and the base of the triangle:
cos(θ) = adjacent/hypotenuse = 16/L
Given that cos(θ) = 8/41, we can substitute this value into the equation:
8/41 = 16/L
To solve for L, we can cross-multiply and solve for L:
8L = 41 * 16
L = (41 * 16)/8
L = 82
Therefore, the length of the longer wire is 82 feet.
In summary, the length of the longer wire is 82 feet, as determined by using the cosine of the angle formed by the shorter wire and the ground, and considering the similarity of the triangles formed by the wires and the pole.
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A rational expression has been simplified below.
(x - 5)(x+1)x-5
3(x+1)
-x-5
3
For what values of x are the two expressions equal?
OA. All real numbers except 5
B. All real numbers except -1 and 5
C. All real numbers
D. All real numbers except -1
To find A rational expression we must equalize the two equations and solve for x in order to determine the x values at which the two expressions are equivalent. The expressions listed are:
(x - 5)(x + 1)(x - 5) / 3(x + 1) = -x - 5 / 3
Therefore the correct answer is B: All real numbers besides -1 and 5.
We can first eliminate the common components to make the equation simpler:
(x - 5)(x - 5) / 3 = -x - 5 / 3
To eliminate the denominators, let's now multiply both sides of the equation by 3:
(x - 5)(x - 5) = -x - 5
Expanding the left side of the equation:
x^2 - 10x + 25 = -x - 5
Next, let's move all the terms to one side of the equation:
x^2 - 10x + x + 5 + 25 = 0
Simplifying:
x^2 - 9x + 30 = 0
The quadratic equation can now be factored:
(x - 5)(x - 6) = 0
Solving for x after putting each factor's value at zero
x - 5 = 0 --> x = 5
x - 6 = 0 --> x = 6
So, the values of x that make the two expressions equal are x = 5 and x = 6. However, neither of these options is given in the answer choices. Let's reexamine the simplification process.
(x - 5)(x + 1)(x - 5) / 3(x + 1) = -x - 5 / 3
Looking at the equation, we can see that there is a cancellation that simplifies the equation further:
(x - 5)(x - 5) = -x - 5
\(x^2\) - 10x + 25 = -x - 5
Adding x and 5 to both sides of the equation:
\(x^2\) - 10x + x + 25 + 5 = 0
\(x^2\) - 9x + 30 = 0
Now, let's factor the quadratic equation:
(x - 5)(x - 6) = 0
Setting each factor equal to zero and solving for x:
x - 5 = 0 --> x = 5
x - 6 = 0 --> x = 6
We now have the right answers, x = 5 and x = 6. The correct response, according to the answer choices, is B: All real numbers besides -1 and 5.
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prove that there exist only five regular polyhedron
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.
Proving there exist Five Regular PolyhedronThe five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.
The five regular polyhedra are:
1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.
2. Cube: It has six square faces, and three squares meet at each vertex.
3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.
4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.
5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:
"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".
For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:
V - E + F = 2
=> kV/2 - kE/2 + F = 2
=> k(V/2 - E/2) + F = 2
Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:
k(V/2 - (nF)/2) + F = 2
=> (kV - knF + 2F)/2 = 2
=> kV - knF + 2F = 4
Now, we need to consider the conditions for a valid polyhedron:
1. The number of faces (F), edges (E), and vertices (V) must be positive integers.
2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.
Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:
(n, k) pairs:
(3, 3) - Tetrahedron
(4, 3) - Cube
(3, 4) - Octahedron
(5, 3) - Dodecahedron
(3, 5) - Icosahedron
Therefore, there exist only five regular polyhedra.
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A circle has a radius of 3. An arc in this circle has a central angle of 60°.
What is the length of the arc?
Either enter an exact answer in terms of 7 or use 3.14 for 7 and enter your answer as a decimal.
Answer:
π
Step-by-step explanation:
s = (∅/360) * (2πr)
s = (60/360) * (2π*3)
s = (1/6) * (6π)
s = π
A pizzeria will bake and deliver a round pizza with a 12-inch diameter. Find the exact area of the top of the pizza and an approximation. Use 3.14 as an approximation
A = 78.54
A = 3.14r^2
Complete This Table Please Help Me !
Answer:
1. 3/4; 75%
2. 0.6; 6%
3. 18/25;0.72
Step-by-step explanation:
6y+x=8 you have to find y
Answer:
y=4/3 - x/6
Step-by-step explanation:
Randy saving for console cost $290 he got a $50 gift card from grandma $15 each week, how many weeks until he get money?
Answer:
it will take him 16 weeks
Step-by-step explanation:
290 subtract 50 equals 240
240 divided by 15 equals 16
Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
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PLEASE HELP ASAP ASAP URGENT WILL GIVE BRAINLIEST
Answer:
for the solve and check:
\(2\frac{3}{8}+x=3\frac{1}{4} \\2\frac{3}{8}-2\frac{3}{8}+x=3\frac{1}{4}-2\frac{3}{8}\\\\x=3\frac{1}{4}-2\frac{3}{8}\\\\\\x=\frac{7}{8}\)
----------------------------------------------------
\(3\frac{3}{8}+x=4\frac{1}{4} \\3\frac{3}{8}-3\frac{3}{8}+x=4\frac{1}{4}-3\frac{3}{8}\\\\x=4\frac{1}{4}-3\frac{3}{8}\\\\\\x=\frac{7}{8}\)
for the second solve and check:
\(4\frac{3}{8}+x=5\frac{1}{4} \\4\frac{3}{8}-4\frac{3}{8}+x=5\frac{1}{4}-4\frac{3}{8}\\\\x=5\frac{1}{4}-4\frac{3}{8}\\\\\\x=\frac{7}{8}\)
----------------------------------------------------
\(5\frac{3}{8}+x=6\frac{1}{4} \\5\frac{3}{8}-5\frac{3}{8}+x=6\frac{1}{4}-5\frac{3}{8}\\\\x=6\frac{1}{4}-5\frac{3}{8}\\\\\\x=\frac{7}{8}\)
Answer:
Step-by-step explanation:
Green picture
x = 2.25 ft = 2 1/4 ft
we substitute 2 1/4 for x
x = 2 1/4 ft
3 3/4 ft + 2 1/4 ft = 6 ft
6 ft = 6 ft
Since 6ft is equal to 6ft...
Blue picture
It is 2 1/4 ft long
we substitute 7/8 ft for x
since 2 1/4 ft is equal ...
Yellow picture
2 3/8 ft - 2 3/8 ft + x = 3 1/4 ft - 2 3/8 ft
x = 3 1/4 ft - 2 3/8 ft
x = 7/8 ft
Check
x = 7/8 ft
2 3/8 ft + 7/8 ft = 3 1/4 ft
3 3/8 ft - 3 3/8 ft + x = 4 1/4 ft - 3 3/8 ft
x= 4 1/4 ft - 3 3/8 ft
x = 7/8 ft
check
x = 7/8 ft
3 3/8 ft + 7/8 ft = 4 1/4 ft
red picture
4 3/8 ft - 4 3/8 ft + x = 5 1/4 ft - 4 3/8 ft
x = 5 1/4 ft - 4 3/8 ft
x = 7/8 ft
check
x = 7/8 ft
4 3/8 ft + 7/8 ft = 5 1/4 ft
Why is it useful to write an equation in slope-intercept form before graphing the function?
As a result οf answering the given questiοn, we may state that Overall, equatiοn expressing an equatiοn in slοpe-intercept fοrm can help yοu grasp and graph a functiοn mοre easily.
What is equatiοn?An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides separated by an equals sign (=). Fοr example, the equatiοn "2x + 3 = 9" argues that the expressiοn "2x + 3" is equal tο the value "9". The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that make the equatiοn true.
Simple οr cοmplex equatiοns, linear οr nοnlinear, and invοlving οne οr mοre variables are all pοssible. Fοr example, the quadratic equatiοn "x²+ 2x - 3 = 0" invοlves the variable x raised tο the secοnd pοwer. Equatiοns are utilised in many areas οf mathematics, such as algebra, calculus, and geοmetry.
Befοre graphing the functiοn, write an equatiοn in slοpe-intercept fοrm (y = mx + b). This prοvides infοrmatiοn οn the slοpe and y-intercept οf the line, which are twο crucial pieces οf infοrmatiοn.
The y-intercept, denοted by "b" in the equatiοn, indicates where the line intersects the y-axis. This is the pοint at which x equals 0.
The slοpe determines the distance between the y-intercept and anοther pοint in the x-directiοn. The graph οf the equatiοn can then be cοmpleted by drawing a straight line thrοugh these twο spοts.
Overall, expressing an equatiοn in slοpe-intercept fοrm can help yοu grasp and graph a functiοn mοre easily.
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Complete the square to re-write the quadratic function in vertex form:
y= x2 - 5x +9
Answer: y =
Submit Answer
Tara created a 1 inch cube out of paper.
1 in
If she doubles the volume of her cube, which statement could be true?
A Tara added two inches to the height, length and width of the cube.
B Tara added two inches to the height of the cube.
C Tara doubled the measurements of the cube's height, length and width.
D Tara doubled the measurement of the cube's height.
Answer:
answer D
Step-by-step explanation:
V=L*W*H=1 ==> L=1,W=1,H=1
A:
L-> L+2=1+2=3
W -> W+2 = 1+2=3
H -> H+2=1+2=3
V=3*3*3=27 not the doubled of the volume's cube
A is false
B:
H -> H+2=1+2=3
V=1*1*3=3 not the doubled of the volume's cube
B is false
C:
H -> 2*H=2*1=2
L -> 2*L=2*1=2
W -> 2*W = 2*1=2
V=2*2*2=8 not the doubled of the volume's cube
C is false
D:
H-> H*2=1*2=2
L=1
W=1
V=1*1*2=2 is the doubled of the volume's cube
D is true
Five people, each working 8 hours a day, can assemble 400 toys in a 5-day work week. What is the
average number of toys assembled per hour, per person?
5 days x 8 hours per day = 40 hours per week.
400 toys / 40 hours per week = 10 toys per hour
10 toys per hour / 5 people = 2 toys per person per hour
Answer: 2
sasha buys 5 boxes crackers for 12.25 if each box cost the same amount how much does 1 box cost
Sasha buys 5 boxes crackers for 12.25 if each box cost the same amount one box of crackers costs $2.45.
To find the cost of one box of crackers, we can use the concept of unit rate, which is the cost per one unit. In this case, we want to find the cost per one box of crackers.
If Sasha bought 5 boxes of crackers for a total of $12.25, we can set up a proportion to find the cost of one box of crackers:
5 boxes / $12.25 = 1 box / x
Here, "x" represents the cost of one box of crackers. We can solve for "x" by cross-multiplying the proportion:
5 boxes * x = $12.25 * 1 box
5x = $12.25
x = $12.25 / 5
x = $2.45
To check our answer, we can multiply the cost of one box by the number of boxes Sasha bought:
$2.45 * 5 boxes = $12.25
This confirms that our answer is correct.
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Complete question is:
Sasha buys 5 boxes crackers for 12.25, if each box cost the same amount, then how much does 1 box of the crackers cost?
You accelerate from 5m/s to 60m/s in 11 seconds what is the average acceleration.
Change in acceleration: 60 - 5 = 55 m/s
Average acceleration = 55 m/s / 11 second = 5 meters per second squared ( m/s^2)
Answer: 5 m/s^2
Lindsay has saved $134.75 to buy a tablet. How much more money does she need to save before she can buy the tablet? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
$1.48
$64.25
$164.25
$333.75
Lindsay still require to save option B: $64.25 before she can be able to buy the tablet.
What is the equation?For us to be able to calculate how much more money Lindsay is required to save, we so have to subtract the price of the tablet from the amount she has saved.
Note that:
The price of the tablet is given = $199.
So one can write the equation as:
$199 - $134.75 = x
where: x is seen as the amount of money Lindsay still require to save.
Therefore, when we Simplify the equation, we can be able to get:
$64.25 = x
Therefore, Lindsay still require to save $64.25 before she can be able to buy the tablet.
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See correct question below
Lindsay has saved $134.75 to buy a tablet. How much more money does she need to save before she can buy the tablet? Write an equation and solve it by using the information in the table.
Electronics sale price
MP3 Player $39
Computer $299
Tablet $199
Smart Phone $78
Answer:B
Step-by-step explanation:
find the height of right triangular prism
The side x of the triangular base prism is 0.4 centimetres.
How to find the side of a triangle prism?The diagram above is a triangular prism. The triangular base of the prism is a right triangle. Therefore, the unknown side x can be found using Pythagoras's theorem,
c²= a² + b²
where
a and b are the other legsc is the hypotenuse sideTherefore,
x² = 0.5² - 0.3²
x² = 0.25 - 0.09
x = √0.16
x = 0.4 cm
Therefore,
x = 0.4 centimetres.
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6. A concert promoter's profit is p(n) = 61n - 5500, where n is the number of tickets sold. Find theprofit for the promoter if he sells 850 tickets. Show your work and explain what your answer means interms of the problem. (5 points)6
Given:prfit p(n)=61n-5500
Find: profit when he sells 850 tickets.
Explanation: n=850
put in the given equation of profit , we get
\(\begin{gathered} p(n)=61\times850-5500 \\ =51850-5500 \\ =46350 \end{gathered}\)Final answer: the profit is 46350.
Which conic section is represented by the following equation?
5x^2 - x + 5y^2 - 3y - 12 =0
Ax²+Bx+Cy²+Dy+E=0
so in the template above for a conic, the defining components are the coefficients A and C
• If either A=0 or C=0, then the equation is a Parabola
• if A=C, then we have a Circle
• if either A or C is negative, and A≠C, then we have a Hyperbola
• if A and C are both positive or both negative, and A≠C, then we have an Ellipse.
notice, 5x² and 5y² have the same coefficient, thus a circle baby!
Solve for w: 2w/5 - 9 = 11
Answer:
w= 50
Step-by-step explanation:
Answer: x = 50
Step-by-step explanation: 2w/5 - 9 = 11
+9 +9
20
2w/5 = 20
*5 *5
100
2w = 100
2 2 = 50 so x = 50
Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
The coordinates of the vertices of a triangle are A(3, 3), B(6, 3), and C(6, 6). The coordinates of the vertices of its image are A'(-3, -3), B'(-6, -3), and C'(-6, -6). What transformations would result in this image?
ΔABC was translated left 6 units and reflected over the x-axis.
ΔABC was translated right 6 units and reflected over the x-axis.
ΔABC was translated down 6 units and reflected over the y-axis.
ΔABC was reflected over both axes.
Answer:
ΔABC was reflected over both axes.
Step-by-step explanation:
ΔABC was reflected over both axes.