You make both rocking chairs and bar stools. You charge $100 for every rocking chair and $40 for every bar stool. Which expression represents your income if you sell r rocking chairs and b bar stools?
Answer:
The answer is [tex]Income=100*r+40*b[/tex]
Step-by-step explanation:
In this case we have to construct an expression that describe the income of selling the rocking chairs ($100 each - r) and the bar stool ($40 each - b), so the total income will depend on the addition of this two variables multiplied by its individual price, this is:
[tex]Income=100*r+40*b[/tex]
The answer is [tex]Income=100*r+40*b[/tex]
What is the quotient and remainder when x2 + x − 12 is divided by x − 2?
for f(x)= 1/x^2-3 substitute 3 for x in the function to solve for f(3)
The value of the function f(x)= 1/x²-3 when x is 3, denoted as f(3), is -8/9.
Explanation:To solve for f(3) in the function "f(x)= 1/x²-3", you should substitute x = 3 into the function. By doing so, we have:
f(3) = 1/(3²) - 3 = 1/9 - 3 = -8/9
Therefore, f(3) for this function is -8/9.
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the ratio of boys to girls are 8 to 7. if there was a total of 195 students, how many boys and girls are there?
Describe how to determine if two polygons have the same size and shape.
Answer:
Prove that their corresponsing sides are all congruentsStep-by-step explanation:
Remember that if two figures have corresponding angles congruent, but proportional sides, then those figures are similar.
However, if those figures have corresponding angles and sides congruent, then they are congruent.
Therefore, to determine if two polygons are congruent, that is, in size and shape, we need to prove that their corresponsing sides are all congruents, that way, we'll be able to demonstrate their absolute congruence.
what is .00463 in fraction form
The sine function is an odd function
Answer:
The given statement is true.
Step-by-step explanation:
We have been given a statement and we are supposed to determine whether our given statement is even or odd.
Statement: The sine function is an odd function.
We know that sine is symmetric about origin and [tex]\text{sin}(-x)=-\text{sin}(x)[/tex]. Therefore, sine is an odd function and our given statement is true.
What is 180 as product of prime factors and 180 as a Square root?
1. What is the length of the 2nd base of a trapezoid if the length of one base is 24 and the length of the midsegment is 19? Show your work.
2. What is the sum of the measures of the exterior angles in a heptagon? Explain.
3. Find the measure of each interior angle and each exterior angles of the following regular polygons. Show your work.
a. Decagon
b. Pentagon
c. Dodecagon
d. 16-gon
e. 25-gon
Which best explains if quadrilateral WXYZ can be a parallelogram?
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
If quadrilateral WXYZ is a parallelogram, the opposite sides will be equal, in length from which the value of x will satisfy the two equations.
Response:
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.How can the option that best indicates if WXYZ can be a parallelogram be obtained?Properties of a parallelogram
The length of the opposite sides of a parallelogram are equal, which gives;
2·x - 5 = x + 2
2·x - x = 2 + 5
x = 7Similarly, we have;
x + 8 = 15
x = 15 - 8 = 7
The lengths of the opposite sides are therefore;
2·x - 5 = 2 × 7 - 5 = 9 and x + 8 = 15
The option that indicates if WXYZ is a parallelogram is therefore;
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.Learn more about parallelograms here;
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Marion is observing the velocity of a cyclist at different times. After two hours, the velocity of the cyclist is 18 km/h. After four hours, the velocity of the cyclist is 4 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. (5 points) Part B: How can you graph the equations obtained in Part A for the first 8 hours? (5 points)
Given the following geometric sequence, find the common ratio. {0.1,-0.9,8.1,...}
Answer:
Common ratio, r = -9
Step-by-step explanation:
If we have geometric progression, the common ratio is the ratio of (n+1)th term and nth term.
Here geometric progression is
0.1,-0.9,8.1,.................
Common ratio
[tex]r=\frac{-0.9}{0.1}=-9\\\\r=\frac{8.1}{-0.9}=-9[/tex]
Common ratio, r = -9
Given the arithmetic sequence an = −1 + 7(n − 1), what is the domain for n?
All integers
All integers where n ≥ 0
All integers where n ≥ 1
All integers where n > 1
The domain for n in the arithmetic sequence is all integers where n ≥ 1.
Explanation:The domain for n in the arithmetic sequence is all integers where n ≥ 1. In this sequence, the value of n represents the position of the term in the sequence. Since the first term of the sequence is represented by n=1, n can't be less than 1 because there is no zeroth term in the sequence. Therefore, the domain for n is all integers where n ≥ 1.
A 7.5 kg block is placed on a table. If it's bottom surface area is 0.6m2, how much pressure does the block exert on the tabletop?
Final answer:
The pressure exerted by a 7.5 kg block on a tabletop is calculated as the force due to its weight divided by the surface area. This results in a pressure of 122.5 Pascals (Pa).
Explanation:
The pressure exerted by an object on a surface is calculated by dividing the force it applies, which is its weight (a result of gravity), by the area over which the force is distributed. In this case, to find the pressure exerted by a 7.5 kg block on a tabletop with a bottom surface area of 0.6m2, we use the formula for pressure (P), which is P = Force (F) / Area (A).
To calculate the force, we need to know that the weight of the block is the product of its mass (m) and the acceleration due to gravity (g), where g is approximately 9.8 m/s2. So, the weight (F) is:
F = m × g = 7.5 kg × 9.8 m/s2 = 73.5 N
To calculate pressure (P), we then divide the force by the area:
P = F / A = 73.5 N / 0.6 m2 = 122.5 Pa
Therefore, the pressure exerted by the block on the tabletop is 122.5 Pascals (Pa).
Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning
Please help!!! Geometry.
the question is.......... ASAP
(05.01)
Which statement best explains if the graph correctly represents the proportional relationship y = −2x?
No, the points shown would not be part of y = −2x
No, proportions cannot be represented on a graph
Yes, all proportions can be shown on a graph of this line
Yes, the points shown on the line would be part of y = −2x
The best statement which is true for the graph y=-2x is that Yes, the points shown on the line would be a part of y=-2x.
What is line?A line is collection of various points on a surface which together joins two points on a surface. Equation of a line looks like y=a +b x where b is the slope of line.
How to make graph?We have been given an equation y=-2x and we have to find the graph of equation and for that we need to find points and for this we have to put the values of x which gives the values of y.
At x=0 ,y=0
At x=1 ,y=-2*1=-2
At x=2 ,y=-2*2=-4
At x=-1 ,y=-2*-1=2
Coordinates will be (0,0),(1,-2),(2,-4),(-1,2)
If we find these points on this line then will surely be able to find these points.
Hence the statement which is true is that Yes, the points shown on the line would be part of y = −2x.
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people who are physically active should increase the daily amount of water they drink to 2/3 ounces per pound of body weight. how much should a 245 pound football player drink per day?
A 1,470 ounces of water
B 163 ounces of water
C 163 1/3 ounces of water
D no water, football players only drink gatorade
245*2/3=
245*2 =490/3 =163.33 = 163 1/3 ounces
Which number is irrational, an integer, and a real number?
A)there are no such numbers
B) 0
C) sq root of 4
D) -4/2
Answer:
Option A is the correct answer.
Step-by-step explanation:
An Irrational Number is a real number that cannot be written as a simple fraction. All the integers can be written as a simple fraction. So an integer is not an Irrational Number. So there is no number is irrational, an integer, and a real number.
Option A is the correct answer.
A piece of rope 94.2 inches long will enclose a circular child’s wading pool. What is the diameter of the pool?
Find the volume of the cylinder shown. Use 3.14 for pi. Round your answer to the nearest hundredth.
Answer: Volume of cylinder is 1846.32 cubic yd.
Step-by-step explanation:
Since we have given that
Height of a cylinder = 12 yard
Radius of a cylinder = 7 yard
As we know the formula of "Volume of cylinder":
[tex]Volume=\pi r^2h\\\\Volume=3.14\times 7\times 7\times 12\\\\Volume=1846.32\ yd^3[/tex]
Hence, Volume of cylinder is 1846.32 cubic yd.
Answer:
1846.32 cubic yards
Step-by-step explanation:
What is the slope of the line whose equation is 3x-5y=10?
Ten children are to be divided into an a team and a b team of 5 each. the a team will play in one league and the b team in another. how many different divisions are possible?
ILL GIVE BRAINLIEST !!!1 A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)
Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)
Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)
Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)
Kyla makes a triangular school pennant. The area of the triangle is 180 square inches. The base of the pennant is z inches long. The height is 6 inches longer than twice the base length. What is the height of the pennant? Recall the formula A = 1/2bh.
A.) 12 inches
B.) 15 inches
C.) 30 inches
D.) 36 inches
Identify the factors of x2 − 4x − 12. (1 point)
(x + 4)(x − 3)
(x − 4)(x + 3)
(x − 2)(x + 6)
(x + 2)(x − 6)
Answer:
D. [tex](x-6)(x+2)[/tex]
Step-by-step explanation:
We have been given a polynomial [tex]x^2-4x-12[/tex]. We are asked to find the factors of our given polynomial.
We will use splitting the middle term format of factoring quadratic polynomial.
We need two numbers, whose product is [tex]-12[/tex] and whose sum is [tex]-4[/tex]. Such two numbers are [tex]-6\text{ and }2[/tex].
[tex]x^2-6x+2x-12[/tex]
[tex](x^2-6x)+(2x-12)[/tex]
Factor out GCF of each group:
[tex]x(x-6)+2(x-6)[/tex]
[tex](x-6)(x+2)[/tex]
Therefore, factors of our given expression are [tex](x-6)(x+2)[/tex] and option D is the correct choice.
Can anyone help!? Points are high!
total was 49.10
mileage would be 49.10 = 2.10x +5.00
total miles =
49.10 = 2.10 +5.00
44.10 = 2.10x
x = 44.10/2.10 = 21 miles
In triangle ABC, m∠A=55 triangle ABC, m∠A=55°, c=11c=11, and m∠B=19m∠B=19°. Find the perimeter of the triangle
A cube has side lengths of 8 inches. What is the volume of the cube