Answer:
The slope of the parallel line is 2
Step-by-step explanation:
Parallel lines have equal slopes, so for this question you need to re-format the equation to match a y=mx+b format (slope-intercept form).
2x -y = 7 | Subtract 2x from both sides
-y = 7 + 2x | Multiply by negative one to make y even
y = 7 + 2x | Rearrange the equation to match the formula
y = 2x +7 | 2 is your slope for both parallel lines!
emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?
(c) 15i + 4b ≥ 100 inequality represents this scenario.
To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:
Total cost = 8x + 18y
We want to know when this total cost is less than or equal to $100, so we can write:
8x + 18y ≤ 100
This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.
Correct Question :
Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?
a) 4i+100 ≤ 15b
b) 15i + 4b ≤ 100
c) 15i + 4b ≥ 100
d) 4i + 15b ≤ 100
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What is 1/3 divided by 1/2
Answer:
2/3
Step-by-step explanation:
\(\frac{1}{3} /\frac{1}{2} = \frac{1}{3} * \frac{2}{1} = 2/3\)
Question 5(Multiple Choice Worth 1 points)
(02.04 LC)
What is the equation of a line that contains the points (2,-2) and (0, -2)?
O y = 0
Ox= -2
O y = -2
Ox=0
ANSWER ALL QUESTIONS FOR BRAINLIEST | ALL OF MY POINTS OFFERED
What was Swag Man's slope?
Describe what Swag Man's slope means in context of the problem. Make sure to use the slope in your answer.
What was Groovy Gus's Slope?
What is the y-intercept for Swag man?
What is the y-intercept for Groovy Gus?
Explain what the y-intercepts mean in context of the problem.
Step-by-step explanation:
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OLZ HELP ILL MARK AS BRAINLEST
Answer:
-2
Step-by-step explanation:
The slope is rise over run. If we look at the points we can see the rise is -2 and the run is 1. -2/1 = -2, so my answer is correct.
Answer:
Hi I’m the friend
Step-by-step explanation:
by the way I also need brainliest, so you get to choose who to mark as brainliest
one side of a rectangle is 12 feet shorter than seven times another side. find the length of the shorter side if we also know that the perimeter of the rectangle is 168 feet.
As per the perimeter the length of the shorter side is 10.5 feet and the length of the longer side is 73.5 feet.
The perimeter of a rectangle is the sum of the lengths of all its sides. If we know the perimeter of a rectangle and some information about the relationship between its sides, we can use that information to find the lengths of the sides.
Let's call the length of the shorter side "x".
The other side is seven times as long, so it is 7x.
The perimeter of the rectangle is 168 feet, so we have
=> 2x + 14x = 168.
Simplifying the equation, we have
=> 16x = 168.
Dividing both sides of the equation by 16, we find
=> x = 10.5.
So, the length of the shorter side is 10.5 feet and the length of the longer side is
=> 7x = 7 * 10.5 = 73.5 feet.
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Simplify the following monomials
Answer:
4) b^10
5) 15x^11y^6
6) 8y^5x + 3x
Step-by-step explanation:
b^6 + b^4 = b^10 because this is multiplication. So you have to add the degrees
(3x^3y^5)(5x^8y^1) = 15x^11y^6. This is because
3 *5 = 15.
x^3 +x^8 = x^11
y^5 + y^1 = y^6.
You have to add the degrees since this is also multiplication.
(2y^2)(4xy^3) + 3x = 24y^5x^2. This is because
2 * 4 = 8
y^2 + y^3 = y^5
x + 0 = x
Therfore, it is (8y^5x) + 3x as the final answer.
screenshot included below
Answer:
product A
75%
67%
Product B
Step-by-step explanation:
I just found the percentage by dividing the amount of people who found relief into the whole
Hopes this helps please mark brainliest
Find the volume of the figure. For calculations involving , give both the exact value and an approximation to the nearest hundredth of a unit. Let d = 10 and h = 18.
________ ft3 ≈ _________ft3
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
Explain about the shape of cylinder:A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.
Given that-
diameter d = 10 ftRadius r = 10/2 = 5 ftHeight h = 18 ftVolume of cylinder = πr²h
Volume of cylinder = 3.14 *5²*18
Volume of cylinder = 3.14*25*18
Volume of cylinder = 1413 ft³
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
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Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte
Juan ahorro 12 pesos el dia lunes;el martes ahorro la mitad de lo ahorrado el lunes y el miércoles ahorro la tercera parte de lo que ahorro el martes ¿A cuanto asciende los ahorros de juan?
Sumando los ahorros de Juan los días lunes, martes y miércoles, los ahorros de Juan ascienden a 20 pesos.
Ahorros del día lunesEn primer lugar, sabes que Juan ahorró 12 pesos el día lunes.
Ahorros del día martesEl martes Juan ahorró la mitad de lo ahorrado el lunes. La mitad de un número es un número que divida a este en dos partes iguales. Entonces la mitad de un número equivale a dividirlo entre 2 o lo que es igual multiplicarlo por \(\frac{1}{2}\).
Entonces, lo ahorrado el martes por Juan se calcula como: 12 pesos÷ 2= 6 pesos
Ahorros del día miércolesFinalmente el miércoles Juan ahorró la tercera parte de lo que ahorró el martes. La tercera parte de un número se obtiene al dividir un número entre tres. O lo que es lo mismo, multiplicando por un tercio (\(\frac{1}{3}\)), dividiendo así al número en un total de tres partes iguales.
Entonces, lo ahorrado el miércoles por Juan se calcula como: 6 pesos÷ 3= 2 pesos
Ahorros totales
Entonces, sabes que los ahorros de cada día son:
Día lunes: 12 pesos.Día martes: 6 pesos.Día miércoles: 2 pesos.Los ahorros totales de Juan es la suma de lo ahorrado el lunes, martes y miércoles:
12 pesos + 6 pesos + 2 pesos= 20 pesos
Finalmente, los ahorros de Juan ascienden a 20 pesos.
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Can someone help me
Answer:
B: (-6, -1)
Step-by-step explanation:
6+x/2 = 0
6+x = 0
x = -6
-5+y/2 = -3
-5 + y = -6
y = -1
Answer:
(-6,-1)
Step-by-step explanation:
We can use the midpoint formula here to find the coordinates of B . Given data :-
A(6,-5) M(0,-3)Let B be B(p , q) . Then ,
=> M = ( x₁ + x₂/2 , y₁ + y ₂ /2 )
=> (0 ,-3) = ( 6 + p/2 , -5+q/2)
On comparing=> 0 = 6 + p/2
=> 6 + p = 0
=> p = (-6)
Similarly=> -3 = -5+q/2
=> -5+q = -6
=> q = 5-6
=> q = (-1)
Hence the coordinates of B is (-6,-1) .What is the vertex of the graph of y = −1(x − 2)2 + 3? (1 point) (3, −2) (−2, 3) (3, 2) (2, 3)
Answer:
3,2
Step-by-step explanation:
Find the sum of the polynomials (ax²+2x-5) and (-2ax² + a) and evaluate that sum when a = 7 and x = -5. The sum of polynomials is the value is
Answer:
29+3374=32483 that is the solution for the question
James T-shirt business uses the demand function P = -Q+31 and the supply function P = Q-17. According to these functions, what will the
equilibrium point (P.Q) be for James T-shirt business?
The equilibrium point for James T-shirt business is (P, Q) = (7, 24).
To find the equilibrium point (P, Q) for James T-shirt business
we need to set the demand function equal to the supply function and solve for the values of P and Q.
Demand function: P = -Q + 31
Supply function: P = Q - 17
Setting them equal:
-Q + 31 = Q - 17
Adding Q to both sides and subtracting 31 from both sides:
2Q = 48
Dividing both sides by 2:
Q = 24
Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.
P = Q - 17
P = 24 - 17
P = 7
Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).
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Find the inverse of function f.
ƒ(x) = 1/3 - 1/21 x
The Inverse of ƒ(x) is given by y = 21x + 7 For the given function, the inverse is y = 21x + 7.
Given,ƒ(x) = 1/3 - 1/21x
To find the inverse of ƒ(x)
We can use the following steps,
Replace ƒ(x) with y, y = 1/3 - 1/21x
Swap x and y, then we get x = 1/3 - 1/21y
Solve for y
We have to isolate y on one side and other terms on the other side,
Add 1/21 y to both sides + 1/21 y = 1/3
Now, Multiply both sides by 21 to get rid of the denominator.21x + y = 7
Then the inverse of ƒ(x) is given by y = 21x + 7 For the given function, the inverse is y = 21x + 7.
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Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location.
How far is Harper from home, if the map shows the distance as 3 inches?
The average student loan debt for college graduates is $25,200. Suppose that that distribution is normal and that the standard deviation is $11,200. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.
a. What is the distribution of X? X - N
b Find the probability that the college graduate has between $27,250 and $43,650 in student loan debt
c. The middle 20% of college graduates loan debt lies between what two numbers? Low: $ High: $
a) The distribution of X, the student loan debt of a randomly selected college graduate, is normal with a mean of $25,200 and a standard deviation of $11,200. b) The probability is approximately 7.28%.
c) The middle lies between approximately $22,164 and $28,536.
How to Find Probability?a. The distribution of X, the student loan debt of a randomly selected college graduate, is a normal distribution (bell-shaped curve) with a mean (μ) of $25,200 and a standard deviation (σ) of $11,200. We can represent this as X ~ N(25200, 11200).
b. To find the probability that the college graduate has between $27,250 and $43,650 in student loan debt, we need to calculate the z-scores for these two values and then find the area under the normal curve between those z-scores.
First, we calculate the z-score for $27,250:
z1 = (X1 - μ) / σ = (27250 - 25200) / 11200 ≈ 1.8304
Next, we calculate the z-score for $43,650:
z2 = (X2 - μ) / σ = (43650 - 25200) / 11200 ≈ 1.6518
Now, we need to find the area under the normal curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this area.
Using a standard normal distribution table or a calculator, the probability is approximately P(1.6518 ≤ Z ≤ 1.8304) ≈ 0.0728.
c. To find the middle 20% of college graduates' loan debt, we need to find the range of values that contain the central 20% of the distribution. This range corresponds to the values between the lower and upper percentiles.
The lower percentile is the 40th percentile (50% - 20%/2 = 40%) and the upper percentile is the 60th percentile (50% + 20%/2 = 60%).
Using a standard normal distribution table or a calculator, we can find the z-scores corresponding to these percentiles:
For the lower percentile (40th percentile):
z_lower = invNorm(0.40) ≈ -0.2533
For the upper percentile (60th percentile):
z_upper = invNorm(0.60) ≈ 0.2533
Now, we can convert these z-scores back to the corresponding loan debt values:
Lower debt value:
X_lower = μ + z_lower * σ = 25200 + (-0.2533) * 11200 ≈ $22,164
Upper debt value:
X_upper = μ + z_upper * σ = 25200 + 0.2533 * 11200 ≈ $28,536
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Write a sentence of the form “–––––––––––––– is a function of –––––––.”
Type your response in the space below.
"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.
Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.
It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.
In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.
The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.
Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.
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I need help I haven’t been here a week and I don’t understand my homework
Solve either
Answer: you need to add
Step-by-step explanation: I would ask your teacher to help you understand the lesson.
_____: a statistics student interviews each member from each of the five randomly chosen math classes at a university.
A sample : a statistics student interviews each member from each of the five randomly chosen math classes at a university.
A sample is a subset of a larger population that is selected for analysis or study. In statistics, sampling is a technique used to gather data from a portion of a population in order to make inferences about the population as a whole.
Sampling helps to reduce the amount of data that needs to be collected and analyzed, making the research process more manageable and cost-effective.
In the scenario you described, a statistics student is conducting a study where they aim to gather data from a group of individuals at a university. To do this, they have selected five math classes at random and are interviewing each member of each class.
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How do you identify a table as linear, exponential, or quadratic?
The way to identify these tables is through the way that the value of y increases.
How to identify a linear tableA linear table is a table that increases or decreases by a common difference. Check the attachment to see how it increases.
How to identify an exponential tableThis is the table that the value increases with a common ratio. The y value doubles in this case.
How to identify a quadratic tableThis is a table that has a constant second difference.
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Rewrite the function by completing the square. f(x)= 2 x^{2} +13 x +20f(x)=2x 2 +13x+20f, left parenthesis, x, right parenthesis, equals, 2, x, squared, plus, 13, x, plus, 20 f(x)=f(x)=f, left parenthesis, x, right parenthesis, equals (x+(x+left parenthesis, x, plus )^2+) 2 +right parenthesis, squared, plus
Answer:
f(x) = 2(x + 13/4)² - 9/8
--------------------
GivenFunction f(x) = 2x² + 13x + 20Rewrite it by completing the squaref(x) = 2x² + 13x + 20 = 2(x² + 13/2 x) + 20 =2[x² + 2x*13/4 + (13/4)² - (13/4)²] + 20 = 2(x + 13/4)² - 169/8 + 20 = 2(x + 13/4)² - (169 - 8*20)/8 =2(x + 13/4)² - 9/8Answer:
\(f(x)=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}\)
Step-by-step explanation:
Given function:
\(f(x)=2x^2+13x+20\)
Factor out 2 from the terms in x:
\(f(x)=2\left(x^2+\dfrac{13}{2}x\right)+20\)
Add the square of half the coefficient of x inside the parentheses, and subtract the distributed equivalent outside the parentheses:
\(f(x)=2\left(x^2+\dfrac{13}{2}x+\left(\dfrac{\frac{13}{2}}{2}\right)^2\right)+20-2\left(\dfrac{\frac{13}{2}}{2}\right)^2\)
Simplify:
\(f(x)=2\left(x^2+\dfrac{13}{2}x+\left(\dfrac{13}{4}\right)^2\right)+20-2\left(\dfrac{13}{4}\right)^2\)
\(f(x)=2\left(x^2+\dfrac{13}{2}x+\dfrac{169}{16}\right)+20-\dfrac{169}{8}\)
\(f(x)=2\left(x^2+\dfrac{13}{2}x+\dfrac{169}{16}\right)-\dfrac{9}{8}\)
Factor the perfect trinomial inside the parentheses:
\(f(x)=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}\)
A number has 7 in its thousands place and is less than 54,00. How many such numbers are there?
There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.
Consider the possible digits in the hundreds, tens, and one's places.
Thousands of places: There is only one possibility, which is 7.
Hundreds place: Any digit from 0 to 9 is possible.
Tens place: Any digit from 0 to 9 is possible.
One place: Any digit from 0 to 9 is possible.
Since the number is less than 54,000, the digit in the hundreds place cannot be 5.
So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.
So, the total number of such numbers is:
9 x 10 x 10 x 10 = 9,000
Therefore, there are 9,000 numbers that satisfy the given condition.
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PLEASE HELP ME QUICK!!!
Answer:
Option D. \(g(x)=5(0.8)^{x}+2\)
Step-by-step explanation:
Main concepts
Concept 1: identifying horizontal asymptote
Concept 2: assuring decreasing exponential function
Concept 1. identifying horizontal asymptote
Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis. A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number. Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units. Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.
Concept 2. assuring decreasing exponential function
Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".
If "b" is between 0 and 1 (a "small" number), the function will decrease.If "b" is larger than 1 (a "big" number), the function will increase.Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.
To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.
Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.
How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
7(5/14a-5/21)-1/12(3a+6)
Answer:
I can help!! answer in image
Step-by-step explanation:
Have a great day sir
The lifetime of a certain brand of battery is normally distributed with a mean value of 8 hr and a standard deviation of 0.8 hr when it is used in a particular cassette player.Suppose that two new batteries are independently selected and put into the player. The player ceases to function as soon as one of the batteries fails.
(a) What is the probability that the player functions for at least 6 hr?
(b) What is the probability that the cassette player works for at most 9 hr?
Answer:
Step-by-step explanation: o847434y3u3u44y4u5u5u5uu6
Aiden is eating from the box of cereal shown. Find the total surface area of the box. cereal 13.5 in. 2.5 in. 8 in. Total surface area?
Answer:
Step-by-step explanation:
Two of the sides are 13.5 inches by 2.5 inches, two sides are 13.5 inches by 8 inches, and two sides are 2.5 inches by 8 inches.
Surface area = 2*13.5*2.5 + 2*13.5*8 + 2*2.5*8