Answer:
Option 3
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.
Step-by-step explanation:
y = -4x - 19 y = 2x − 1
-4x - 19 = 2x - 1
6x = -18
x = -3
y = 2(-3) - 1 = -7
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.
What is a system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given
y = -4x - 19 y = 2x − 1
-4x - 19 = 2x - 1
6x = -18
x = -3
y = 2(-3) - 1 = -7
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(Day 8) Find the value of each variable. The dot represents
the center.
a =
b=
C=
Answer:
Step-by-step explanation:
a=180-122=58°
Let ABC be the triangle in which BC is diameter.
Diameter always make angle 90° on the circumference.
so b=90°
∠B=1/2×58=29°
29+b+c=180
29+90+c=180
c=180-119=61°
Collins middle school has 186 soxth grade students. If the sixth grade is 30 percent of the total school, how many students are in the middle school?
Answer:
620
Step-by-step explanation:
MATH
Please answer ASAP
Square ABCD has a side length of 4 inches. The square is dilated by a scale factor of 4 to
form square A'B'C'D'. What is the side length of square A'B'C'D' ?
Answer:
The side of square A'B'C'D' is 16 inches
Step-by-step explanation:
Given
Length of Square ABCD = 4 inches
Dilated with a scale factor of 4
Required
Length of square A'B'C'D'
To dilate something means to enlarge or reduce the size of that thing, depending on the scale factor.
Consider the following conditions
When the scale factor is greater than 1, then the size of new shape will be bigger than the dilated shapeWhen the scale factor is equal to 1, the new shape will maintain the same size as the dilated shapeWhen the scale factor is less than 1 but greater than 0, the size of new shape will be smaller than that of the dilated shape.Having mentioned the conditions of dilation, Here, the "thing being dilated" is a square (ABCD) on a scale factor of 4.
The scale factor is greater than 1; so, the new shape (A'B'C'D) will be bigger than the previous shape (ABCD)
Now, how is the new size calculated?
The new size is calculated by multiplying the length of the previous shape by its scale factor;
In other words,
New Length = Old Length * Scale Factor
Where
Old Length = Length of ABCD = 4 inches
Scale Factor = 4
By Substitution,
New Length = 4 inches * 4
New Length = 16 inches
Hence, the side of square A'B'C'D' is 16 inches
4. Consider the following polynomials: 6(x2 – 3) and 5x2 + x + 11
a. Find the sum of the polynomials.
b. Find the difference of the polynomials.
Answer:
Step-by-step explanation:
6(x² – 3) and 5x² + x + 11
a. Find the sum of the polynomials.
6(x² – 3) and 5x² + x + 11
6x²-18 + (5x² + x + 11)
6x²-18 + 5x² + x + 11
choose like terms
6x²-5x² + x + 11 -18= x²+x-7
b. Find the difference of the polynomials.
6x²-18 -(5x² + x + 11)
6x²-18 -5x² -x - 11
6x²-5x² -x - 11-18
x²-x-29
Please I need help with this question
Answer:
20
Step-by-step explanation:
Angle ABC = 40 degrees, therefore CB = 40 degrees.
An inscribed triangle is half of the angle in the center so, angle ADC = 20 degrees.
If the mixing container only holds 40 ounces of paint, then what is the most green paint the artist can make, and what recipe should she use?
Answer:
she can make 40 ounces of green paint
Step-by-step explanation:
20 ounces of yellow paint and 20 ounces of blue paint
The most green paint she can make would be 28 ounce of yellow + 8 ounce of blue which would give us 36 ounce of green paint. Since the container can only hold 40 ounce.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
An artist mixes yellow and blue paint to make the perfect shade of green. She uses 2 ounces of blue paint for every 7 ounces of yellow paint
We need to find the most green paint the artist can make if the mixing container only holds 40 ounces.
Amount of blue paint = 2 ounce
Amount of yellow paint = 7 ounce.
Paint the mixing container can hold = 40 ounce.
Most green paints she can make. This is a ratio question
Yellow green
7 = 2
14 =4
21 =6
28 = 8
35 = 10
Hence, The most green paint she can make would be 28 ounce of yellow + 8 ounce of blue which would give us 36 ounce of green paint. Since the container can only hold 40 ounce.
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What is the area of a circle with a radius of 40 cm? cm² (Use 3.14 for Pi.)
Answer:5024 cm^2
Step-by-step explanation:
Formula for area of a circle =πr^2
Where π=3.14, r=40cm
Area=3.14*40^2
=3.14*1600
=5024cm^2
Check the functions whose inverses are also functions
The functions whose inverses are also functions are
b. On a coordinate plane, an exponential functions increases from quadrant 2 into quadrant 1.c. On a coordinate plane, a cubic function has an x-intercept of (0, 0).Checking the functions whose inverses are also functions.From the question, we have the following parameters that can be used in our computation:
The list of options
Analyzing each statement, we have
a. On a coordinate plane, an absolute value function opens down.
The absolute value function f(x)=∣x∣ does not have an inverse that is a function because it fails the horizontal line test.
Specifically, any horizontal line intersects the graph of the absolute value function at most twice.
So, its inverse is not a function.
b. On a coordinate plane, an exponential function increases from quadrant 2 into quadrant 1.
Exponential functions, such as
f(x) = eˣ or f(x) = abˣ, do have inverses that are functions.
They pass the horizontal line test, and their inverses are logarithmic functions.
c. On a coordinate plane, a cubic function has an x-intercept of (0, 0).
A cubic function, such as f(x) = x³, does have an inverse that is a function.
The cubic function has an x-intercept at (0, 0), and its inverse is a cubic root function.
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Question
Check the functions whose inverses are also functions.
a. On a coordinate plane, an absolute value function opens down.
b. On a coordinate plane, an exponential functions increases from quadrant 2 into quadrant 1.
c. On a coordinate plane, a cubic function has an x-intercept of (0, 0).
what is 1/2 of 3/4??
Answer:
3/8
Step-by-step explanation:
Of means multiply
1/2*3/4 = 3/8
what is the product of 5 and w
Answer:
5w
Step-by-step explanation:
5*w=5w
Answer:
5w
Step-by-step explanation:
Product means multiply
5*w
what is the square root of i?
i is an imaginary number.
I = square root -1
Find square root of i:
Let square root I = a + ib
I = (a+ ib)^2
I = a^2 + i^2b^2+ 2abi
I = a^2 -b^2 + 2abi
Square root I = +/- square root 2/2+ I square root 2/2
The cylinder below has a volume of 2,512 cubic cm and a height of 8 centimeters. What is the diameter of the cylinder? Use 3.14 for pi.
Answer:
Radius=10cm
Diameter=20cm
Step-by-step explanation:
The Diameter of the cylinder is 20 centimeters.
It is given that the cylinder has a volume of 2,512 cubic cm and a height of 8 centimeters.
It is required to find the diameter of the cylinder.
What is a volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2h[/tex]
Where r is the radius of the cylinder and h is the height of the cylinder.
We have V = 2512 cubic centimeters and
h = 8 centimeters
[tex]\rm 2512 =3.14\times r^2\times8[/tex]
[tex]\rm \frac{2512}{3.14\times8} = r^2[/tex]
[tex]\rm r^2 =100[/tex]
r = 10 centimeters
Diameter = 2r = 2×10 ⇒ 20 centimeters.
Thus, the Diameter of the cylinder is 20 centimeters.
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what 2 numbers multiply to -4 and add to -8
Answer: 8
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has about 5,000 members. She selected a sample of the first 25 parents dropping off actors during theater rehearsal. Which best explains Mikayla’s sample?
Answer:
Answer is nonrandom and biased.
Refer below.
Step-by-step explanation:
Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has about 5,000 members. She selected a sample of the first 25 parents dropping off actors during theater rehearsal. Following best explains Mikayla’s sample:
Nonrandom and biased
Answer: Answer C.
Step-by-step explanation: She only chose parents that were dropping off their kids. Therefore, the answer is nonrandom and biased.
Which unit is not a customary unit?
A. gallon
B. ounce
C. gram
D. cup
Answer:
D.Cup
Step-by-step explanation:
We humans do not use the term Cup anymore. We now use things like Grams,Ounces,Gallons,Or Quarts.
What percent of Troy's gross pay is his net pay?
A trapezoid has an area of 30m^2. if all of its side lengths are tripled, what will its new area be
Answer:
270
Step-by-step explanation:
Because we do not know what the side lengths are, as long as they multiply to 30m^2, it's fine
For this question, let's just say the base is 5, and the height is 6. If we triple 5, we get 15, and if we triple 6, we get 18. 15*18=270
Now what if, the sides are not 5 and 6. Will the area still be the same? Let's find out.
10*3=30 so we can say for this answer, the base is 3, and the height is 10.
10 tripled is 30, and 3 tripled is 9. 30*9=270
So as we look at these 2 answers. we can conclude that the new area, no matter the side lengths, will be 270
Hope this helpes!
Geometry is not something im good at, picture has the info :)
To find the volume of a rectangular prism, you just multiply each side.
3 x 3 x 8 = 72
Which equation describes the relationship expressed in the table?
y = x
y = 3x
y=1/6x
y=1/3x
Answer: 1/3
Step-by-step explanation:
I just did it
Carbon-14 is a radioactive isotope of carbon that is used to date fossils. There are about 1.5
atoms of cafbon-14 for every trillion atoms of carbon in the atmosphere, known as 1.5 ppt
(parts per trillion). Carbon in a living organism has the same concentration as carbon-14. When
an organism dies, the carbon-14 content decays at a rate of 11.4% per millennium (1000 years).
Write an equation for carbon-14 concentration (in ppt) as a function of time (in millennia) and
determine how old a fossil must be that has a measured concentration of 0.3 ppt.
Answer:
Function: A=1.5(1+0.114)^1000
Step-by-step explanation:
1.5 is the initial amount and 0.114 in the rate and the 1000 is the time
In carbon dating, the Carbon-14 concentration decays exponentially, and can be described by a formula involving its initial concentration and decay rate. To find a fossil's age with a concentration of 0.3 ppt, we use this decay formula, solve for t (time in millennia), and calculate the fossil's age.
Explanation:To determine the Carbon-14 concentration as a function of time and the age of a fossil with a concentration of 0.3 ppt, we will use the formula of exponential decay based on the half-life concept in carbon dating.
The formula for the carbon-14 concentration as a function of time (t, in millennia) is:
C(t) = C_0 × (1 - 0.114)^t
Where:
C(t) is the Carbon-14 concentration at time t,C_0 is the initial Carbon-14 concentration (1.5 ppt), and0.114 is the rate of decay per millennium (11.4%).To find the age of a fossil with a measured concentration of 0.3 ppt, we solve for t in the above equation with C(t) set to 0.3 ppt:
0.3 = 1.5 × (1 - 0.114)^t
Dividing both sides by 1.5 and taking the natural logarithm:
t = ln(0.3/1.5) / ln(1 - 0.114)
Solving this gives us the age of the fossil in millennia.
carl ran laps around the gym during P.E. class.He ran 8 laps in 10 minutes.If he continues running at this rate how many laps will he run in 2 hours
Answer:
96
Step-by-step explanation:
2 hours = 120 minutes
Laps : mins
8 : 10
X : 120
8/10 = X/120
X = 120 × 8/10
X = 96
Answer:
96 laps in 2 hrs
Step-by-step explanation:
2 hours divided by 10 minutes is 12
12*8=96
To check:
10/8=1.25
120/96=1.25
120=2 hours
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
vorth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
A)x + y = 29, 5x + 2y = 100
B)x + y = 100, 5x + 2y = 29
C)5x + y = 29, 2y + x = 100
D)2x + y = 100, 5y + x = 29
Answer:
A IS THE CORRECT ANSWER
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Let x be 14 and y be 15 and solve A like you normally would
Kim and Sonia have each drawn a line on the scatter plot shown below: The graph shows numbers from 0 to 10 on x and y axes at increments of 1. Dots are made at the ordered pairs 1, 5 and 2, 4 and 3, 3.5 and 4, 2.5 and 4.5, 2.8 and 5, 2 and 6, 1.5 and 7, 1 and 8, 0.9 and 9, 0.2 and 10, 0. A straight line labeled Line A joins the ordered pairs 0, 7.2 and 10.4, 0. A straight line labeled Line B joins the ordered pairs 0, 5 and 9.1, 0. Which line best represents the line of best fit? Line A, because it shows a negative association Line A, because it is closest to most data points Line B, because it is closest to most data points Line B, because it shows a positive association
Answer:
B because it is closest to most data points
Step-by-step explanation:
i asked my teacher
The requreid correct answer is: Line B, because it is closest to most data points.
What is a Line??A line can be defined by the shortest distance between two points is called as a line.
The line of best fit is the line that represents the trend or pattern in the data. Based on the given scatter plot, it appears that Line B is the better fit for the data since it is closest to most of the data points and shows a negative association.
Therefore, the correct answer is Line B, because it is closest to most data points.
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Dimensions of a house are 300 feet by
125 feet. If 1 inch represents 50 feet,
what are the dimensions of the house
on the drawing?
Answer:
divide 300 feet by 50 which is 6, divide 125 ft by 50 which is 2.5. Therefore your dimensions are 6 in by 2.5 in
if you're in putting in the computer it may want 2.5 in fraction form which is 2 1/2 in or in improper fraction form 5/2 in
Step-by-step explanation:
1050 households in the town how many own a dog
Answer:
357 dogs
Step-by-step explanation:
50 households are randomly selected f r om the town 17 own a dog
17/50 x 100 = 34%
1050 x 34% = 257
Evaluate f(x) = 2x at x = 5.
A) 32
B) 10
C) 64
D) 25
Answer:
the answer is B)
Step-by-step explanation:
if x = 5
f(x) = 2 x 5
f(x) = 10
so the answer is 10
Steve went to Macy's to buy clothing, Steve got to the checkout, and he had
$96.30 worth of clothing in his arms. If he has a 30% of coupon, how much
would be his final bill?
Answer:
$67.41
Step-by-step explanation:
We want to find out how much 30% off of $96.30 is. To do that, we need to first multiply $96.30 to find out how much 30% would be. Don't forget to change 30% into its decimal form (30% - > .3).
96.30 x .3 = 28.89
This means that Steve got $28.89 dollars removed from his final bill. To find the actual final bill, subtract 28.89 from 96.30.
96.30 - 28.89 = $67.41
The table below shows the total cost (TC) and marginal cost (MC) for Choco Lovers, a monopolistic firm producing different quantities
of chocolate gift boxes. Fill in the blanks in the table.
Answer:
Spreadsheet values
B3 = $15 (shown)C4 = $420 (shown)D6 = $272.5E4 = $6F2 = $16F6 = $5Other values
profit maximizing Q: 35profit maximizing P: $13maximum profit: $227.5Step-by-step explanation:
Labeling the columns of the spreadsheet A--F, and the rows 1--7, we want to find the values as follows.
a) The relationship between quantity, price, and revenue is ...
total revenue = quantity × price
price = (total revenue)/quantity
Then ...
B3 = 375/25 = 15 (as shown)C4 = 30×14 = 420 (as shown)__
b) The relationship between total cost and marginal cost is ...
mc2 = (tc2 -tc1)/(q2 -q1)
tc2 = (mc2)(q2 -q1) +tc1
Then ...
D6 = 9(40 -35) +227.5 = 272.5E4 = (192.5 -162.5)/(30 -25) = 6__
c) Marginal revenue is figured the same way as marginal cost.
mr2 = (r2 -r1)/(q2 -q1)
Then ...
F2 = (320 -0)/(20 -0) = 16F6 = (480 -455)/(40 -35) = 5__
d) The quantity maximizing profit will be the quantity such that marginal revenue is equal to marginal cost. That is, marginal profit is zero. That quantity is 35, where both marginal cost and marginal revenue are 7.
__
e) The price at a quantity of 35 is 13. This value is read from the given table.
__
f) The maximum profit is the difference between revenue and cost at the profit-maximizing quantity:
maximum profit = 455 -227.5 = 227.5
The question refers to Total Cost (TC) and Marginal Cost (MC) in economics; where TC is the sum of all production costs and MC is the cost of producing one more unit of a good. To fill the table, calculate the difference in total cost for each increase in produced units, as this difference reflects the MC.
Explanation:The question is referring to the concepts of Total Cost (TC) and Marginal Cost (MC) in economics. Total Cost is the complete expenditure made by a firm in the production process, including both fixed and variable costs. Marginal Cost, on the other hand, is the cost of producing one additional unit of a good. In the case of the Choco Lovers firm, it represents the cost of producing an extra box of chocolates.
To fill in the blanks in the table, the differences in total cost for each increase in the quantity of chocolate gift boxes produced should be calculated. This is because the MC at each level of output is the addition to total cost when one more box is produced. So, if total cost rises by $5 when output increases from 10 to 11 boxes, the MC of the 11th box is $5.
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One inch is approximately 252/5 millimeters. What is 25 2/5 as a decimal?
Answer:
Decimal result:
25.4
Calculation:
25+2/5
= 25.4
= 2540%
Step-by-step explanation:
The number of minutes Sadie spends on homework, playing outside, and practicing
piano are known. How much more time Sadie spends on homework, h, is unknown.
90 = (20 + 15) +h
Answer:
h = 55
Step-by-step explanation:
90 = (20 + 15) +h
90 = 35 + h
90 - 35 = h
h = 55