Answer:
y = 6x + 4
Step-by-step explanation:
Given parameters:
Slope = 6
y-intercept = 4
Unknown:
Equation of a given line =?
Solution:
The equation of line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the intercept;
So;
y = 6x + 4
In a survey of 3,300 people who owned a certain type of car, 1,980 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
60%
Step-by-step explanation:
gustavo is in a contest where he will win one of four possible
Answer:
Step-by-step explanation:
One of four in number form is 1/4 this is the only thing I can tell you without knowing what the answer choices are or what the question is
1 1/3 x 1 1/2 x 1 1/5
Answer:
7
Step-by-step explanation:
!..........................
Step-by-step explanation:
\((1\frac{1}{3} )(1\frac{1}{2} )(1\frac{1}{5} )\\(\frac{4}{3} )(\frac{3}{2} )(\frac{6}{5} )\\(\frac{2}{1} )(\frac{1}{1} )(\frac{6}{5} )\\\frac{12}{5}\)
In the second step I made them all into simple fractions, just because that's easier.
In the third step I did a bit of cancelling to simplify everything as much as possible.
Answer:
\(\frac{12}{5}\)
help please i dont know what to doooo
Ray has 9 identical shoe boxes like the one shown. What is the total volume of all the shoe boxes?
Answer:
Step-by-step explanation:
You need to find the volume if one shoe box by doing:
Length x Width x Height
Of the shoe box
Then multiply by 30 to get the volume for all the shoe boxes
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Each person in a simple random sample of 1,200 received a survey, and 325 people returned their survey. How could nonresponse cause the results of the survey to be biased?
Those who did not respond reduced the sample size, and small samples have more bias than large samples.
Those who did not respond may differ in some important way from those who did respond.
Those who did not respond caused a violation of the assumption of independence.
Those who did not respond are indistinguishable from those who did not receive the survey.
Those who did not respond represent a stratum, changing the random sample into a stratified random sample.
The nonresponse caused the results of the survey to be biased as C. Those who did not respond caused a violation of the assumption of independence.
How to illustrate the sampling?It should be noted that each person in a simple random sample of 1,200 received a survey, and 325 people returned their survey. How could nonresponse cause the results of the survey to be biased?
In this case, the nonresponse caused rhe results of the survey to be biased as those who did not respond caused a violation of the assumption of independence. Those who did not respond may differ in some important way from those who did respond
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A radio station is giving away tickets to a concert. They plan to give away tickets for seats that cost $7 and $10. They want to give away at least 8 tickets. The total cost of all the tickets they give away can be no more than $70. What is a possible number of $7 tickets and $10 tickets the radio station can give away?
a) Write “Let” statements.
b) Write a system of inequalities that represents the situation.
c) Graph the system. (Remember to label your axes.)
d) Write one possible solution to the problem.
Answer:
a) Let x represent the the number of tickets given out for the seats that cost $7 and let y represent the the number of tickets given out for the seats that cost $10
b) x + y ≥ 8...(1)
7×x + 10×y ≤ 70...(2)
c) Please see the attached graph
d) One possible solution is which is within the feasible region is x = 4 and y = 4.
Step-by-step explanation:
The given parameters are;
The prices of the tickets for the seats given by the radio station are $7 and $10
The minimum number of tickets to be given out = 8 tickets
The maximum number of tickets the radio station can give away = $70
a) Let x represent the the number of tickets given out for the seats that cost $7 and let y represent the the number of tickets given out for the seats that cost $10
b) x + y ≥ 8...(1)
7×x + 10×y ≤ 70...(2)
The above inequalities can be written with respect to y as follows;
For the first inequality, we have;
y ≥ 8 - x
For the second inequality, we have;
7×x + 10×y ≤ 70
y ≤ 70/10 - 7/10×x
Which gives;
y ≤ 7 - 7/10×x
c) The two inequalities are graphed as using Microsoft Excel as follows;
With the given inequalities expressed in terms of y,
1) A table of values is generated for each inequality expressed as equations
2) The table is plotted using the insert function of Microsoft Excel
3) The area where the valid region of both inequalities intersect is shaded
d) The possible solution is given by the point where both inequality equations are equal as follows;
8 - x = 7 - 7/10×x
8 - 7 = x - 7/10×x
3/10×x = 1
x = 10/3 = 3¹/₃
y = 7 - 7/10×x = 7 - 7/10×10/3 = 14/3 = 4²/₃
Therefore, one possible solution is which is within the feasible region is x = 4 and y = 4.
what is the answer to 8.34x0.5
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Well we can see that 40+30+x=180 degrees (Because it is a straight line)
So that means x=110 degrees.
please helppppppppppppppppppppppppppppppppppppppp
Answer:
460 grams
Step-by-step explanation:
Thr trick to this question is knowing the density of water, which happens to be 1 gram/cm^3. If we start with a 200 gram cup and add 260 cm^3 of water, we are adding 260 grams onto 200 grams and getting 460 grams.
Part 1 - Application
——
100 Points!!!!
——
Hikers walk 3 miles east and then 2 miles north and take a water break. They continue
hiking 4 miles east and a final 2 miles south to their destination. What single
transformation took place from their starting position to their final destination? Use
mathematical language and create a graphic to explain your answer. Be sure to use a
straight edge and grid paper for your graphic to represent this problem.
The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point either up, down, left or right in the coordinate plane.
Hikers walk 3 miles east and then 2 miles north and take a water break. Hence:
(x, y) ⇒ (x + 3, y + 2)
They continue hiking 4 miles east and a final 2 miles south to their destination:
(x, y) ⇒ (x + 3 + 4, y + 2 - 2) ⇒ (x + 7, y)
The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)
Evaluate the indefinite integral as a power series and find the radius of convergence. Integral of x^2 ln(1 + x) dx
The indefinite integral of x^2 ln(1 + x) dx is evaluated as a power series using the formula for the power series expansion of ln(1 + x). The resulting power series has a radius of convergence of 1.
To evaluate the indefinite integral of x^2 ln(1 + x) dx as a power series, we can use the formula for the power series expansion of ln(1 + x):
ln(1 + x) = ∑(-1)^(n+1) (x^n) / n
where ∑ represents the sum from n=1 to infinity.
Substituting this into the integral, we get:
∫ x^2 ln(1 + x) dx = ∫ x^2 ∑(-1)^(n+1) (x^n) / n dx
= ∑(-1)^(n+1) ∫ (x^(n+2)) / n dx
= ∑(-1)^(n+1) (x^(n+3)) / (n(n+3))
To find the radius of convergence, we can use the ratio test:
|((x^(n+4)) / ((n+1)(n+4))) / ((x^(n+3)) / (n(n+3)))| = |x| lim(n→∞) (n/(n+1)) = |x|
The series will converge if this limit is less than 1, so the radius of convergence is 1. Therefore, the power series expansion of the indefinite integral is:
∫ x^2 ln(1 + x) dx = ∑(-1)^(n+1) (x^(4+n)) / (n(n+3)) with radius of convergence 1.
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Suppose an elevator can hold no more than 3,000 pounds. Which inequality correctly describes the situation for the weight, w? A. w < 3,000 B. w ≤ 3,000 C. w > 3,000 D. w ≥ 3,000
Answer:
b
Step-by-step explanation:
please help im so confused= Find the position function if a velocity function is given by v(t) = 6+ e -2 s(t) = (Type an exact answer.)
Here's a step-by-step explanation:
1. You are given the velocity function: v(t) = 6 + e^(-2t)
2. To find the position function s(t), we need to integrate the velocity function with respect to t.
3. Integrate v(t) with respect to t: ∫(6 + e^(-2t)) dt
4. Apply the rules of integration: ∫6 dt + ∫e^(-2t) dt
5. Integrate each term separately: 6t - (1/2)e^(-2t) + C
6. The position function s(t) is: s(t) = 6t - (1/2)e^(-2t) + C
In the position function s(t) = 6t - (1/2)e^(-2t) + C, C is the integration constant, which depends on the initial position. If you are given an initial condition, you can determine the value of C. Otherwise, the position function will remain in this general form.
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HELP!! (7th grade math) find the surface area of the composite figure 8in 11in 6in 3in 3in 11in 3in 6in
The surface area, SA, of the composite figure, obtained from the sums of the areas of the rectangular surfaces is 488 square inches
SA = 488 in.²
What is a composite figure?A composite figure is a figure that comprises of two or more simpler figures.
The surface area of the composite figure can be calculated as follows;
The area of the rare of the figure = 11 in × 9 in = 99 in²
The area of the four surfaces of the top cuboid = 2 × 3 × 3 + 11 × 3 + 11 × 3 = 84 in²
The area of the exposed surface of the lower cuboid = 6 × 11 + 2 × 6 × 8 + 5 × 11 + 8 × 11 = 305 in²
The surface area, A, of the composite figure is therefore;
A = 99 + 84 + 305 = 488 in²
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what is the least common factor than thes two denominators 3/6, 2/12
The least common denominator for the fractions 3/6 and 2/12 is 12.
How to find the least common denominatorWe need to determine the smallest number that both 6 and 12 can evenly divide into.
The prime factorization of 6 is 2 * 3.
The prime factorization of 12 is 2 * 2 * 3.
To find the least common denominator, we take the highest power of each prime factor that appears in either denominator. In this case, the prime factors are 2 and 3.
From the prime factorizations, we can see that the least common denominator is 2 * 2 * 3 = 12.
Therefore, the least common denominator for the fractions 3/6 and 2/12 is 12.
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Johan has 15 bags of potato chips. All his 6 friends want 3/5 of a bad of chips, so he pours the chips into bowls. He takes a whole bag. How many full bags are left?
Please help!
Answer:
3/5 is equal to 0.6 multiply 0.6 by 6... subtract 3.6 from 15 and subtract one more bag because Johan took one whole bag of chips... there would be 10.4 bags of chips (about 10.5 bags of chips left).
Sorry nobody didn't answer your question yesterday... Hope I'm not too late...
A triangle has integer side lengths 2,5 and 2. What is the median of all possible values of x?
Given that a triangle has integer side lengths 2, 5 and 2. We are to find the median of all possible values of x.
In a triangle, the sum of two sides of a triangle is always greater than the third side. That is `a+b > c`, where c is the greatest side of the triangle. This is the triangle inequality theorem.Here, 5 is the greatest side of the triangle.
Hence, `2+2<5` is not satisfied. Therefore, such a triangle is not possible. Thus, there are no possible values for the median. Hence, the correct answer is "no possible value for the median".
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PLS HELP!!! FIRST GETS BRAINLIEST!
Which ordered pairs make both inequalities true? Check all that apply.
(−5, 5)
(0, 3)
(0, −2)
(1, 1)
(3, −4)
Answer:
(0,-2) and (1,1)
Step-by-step explanation:
The solution points at the intersection of what is above the orange line and belothe blue line.
(-5, 5) is only in the orange zone so X
(0,3) is on the blue line that is doted so X
(0,-2) is on the orange line that is solid so ✅
(1,1) is in the orange and blue so ✅
(3,-4) is in the blue zone only so X
Answer:
hoi
Step-by-step explanation:
The graph represents a mechanic’s labor costs for a given number of hours of car repair. A graph titled Car Repairs. The horizontal axis shows Labor Time (hours) numbered 0.25 to 2.5, and the vertical axis shows Labor Costs (dollars), numbered 25 to 250. The line remains constant at $50 dollars over 1 hour, then increases sharply. The line remains at 50 dollars from 0 to 1 hour, then move upward to end at 175 dollars at 2.5 hours.
Answer:
A: All repairs requiring 1 hour or less have the same labor cost.
Step-by-step explanation:
Answer:
A: All repairs requiring 1 hour or less have the same labor cost.
Step-by-step explanation: all right!
How many degrees of rotational symmetry does the flower have
Answer:
It has 5-fold rotational symmetry (72 degrees). The Clematis shown has 8-fold rotational symmetry (45 degrees). It has 8 flower petals arranged around the center of the flower.
Step-by-step explanation:
solve the systems of linear equations using substitution
1.x-4y=-10 2.a-3b=24
2x+y=-11 a+2b=-16
3.4j-5k=27 4.m+n=-3
k=j-7 m-4n=27
Step-by-step explanation:
1 . x - 4y = -10
2x + y = -11
multiply the first equation with 2
2x - 8y = -20
-
2x + y = -11
===============
= 0 - 9y = -9
y = 1
x = -6
-------------------------------------------
2.
a - 3b = 24
-
a + 2b = -16
=============
= 0- 5b = 40
b = - 8
a = 0
and so on
If the hcf of 65 and 117 is expressible in the form of 65 m-117,the the value of m is
If the HCF of 65 and 117 is expressible in the form of 65 m-117, then the value of m is 2.
To find the value of m, follow these steps:
Since the HCF (65, 117) = 13 and the HCF (65, 117) = 65m - 117, then we can say that 65m - 117= 13.Solving the equation, we get 65m= 130 ⇒m= 130/65= 2.Therefore, the value of m is 2.
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What is the product (1 – 6i) (-5 – 8i) ?
PLEASE HELP QUICK!!!!!f
Answer:
\(-53+22i\)
Step-by-step explanation:
You can simply use the FOIL method, but keep in mind that \(i^2=-1\):
\((1-6i)(-5-8i)\\(1)(-5)+(1)(-8i)+(-6i)(-5)+(-6i)(-8i)\\-5-8i+30i+48i^2\\-5+22i+48(-1)\\-5+22i-48\\-53+22i\)
Hi pls help I need helppp
Answer:
D
Step-by-step explanation:
Ben is buying 30 juice boxes. Since each pack has 3 juice boxes, we can make it (30 / 3) so far. 30 / 3 is how many packs Ben buys. Now, since each pack is $1.25, we have to multiply 30 / 3 by 1.25.
Therefore, the answer is c = (30 / 3) * 1.25
I hope this helped and please mark me as brainliest!
250 is equal to the ratio ____ to 100
Answer:
25
Step-by-step explanation:
if you look at it, 250 is 1/4 of 1000 and 100 is 1/10 of 1000 so divide 250 by 10 and you get your answer.
confused I don't know how to solve this
Answer:
61.5
Step-by-step explanation:
asiago: 12h+7(1.50)=x . h=6
plug it in!
79(1.5)=x
x=118.5
plain: 7h-4(1.5)=x . h=6
plug it in again! :D
38(1.5)=x
x=57
find the difference!
118.5-57=61.5
An empty container is a cylinder of radius 3.5 cm and height 40 cm
A tennis ball is a sphere of radius 3.5 cm
Will six of the tennis balls fit in the container?
Tick a box.
Yes
No
Show working to support your answer.
Pls help, thankyou
By addressing the posed question, we can get the following conclusion: Volume equation of six tennis balls = 6 179.59 1077.54 cm
Equation: What does it mean?In mathematics, an equations is a promise that two expressions are equivalent. Two sides that are divided by the algebraic symbol (=) make up an equation. As an illustration, the claim "2x + 3 = 9" makes the statement "2x plus 3 equals the quantity "9." Finding the value or values of the variable(s) necessary for the equation to be true is indeed the goal of equation solving. Equations can include one or more parts and be simple or complex, regular or nonlinear. The formula "x2 + 2x - 3 = 0" raises the variable x to the second power. A line is utilized in many different areas of mathematics, such as algebra, calculus, and geometry. We can calculate the volume of the container and the volume of one tennis ball, and then check if the volume of six tennis balls is less than or equal to the volume of the container.
Volume of container = πr2h
Volume of container = π\((3.5)^2\)(40) ≈ 1540.48 cm
Volume of one tennis ball = 4/3 π\(r^3\)
Volume of one tennis ball = 4/3 π\((3.5)^3\) ≈ 179.59 cm
Volume of six tennis balls = 6 × volume of one tennis ball
Volume of six tennis balls = 6 × 179.59 ≈ 1077.54 cm
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Which measure of central location is found by arranging the data from smallest to largest and selecting the middle value
The measure of central location is found by arranging the data from smallest to largest and selecting the middle value is "Median".
What is a median?The median is the midpoint value in an ascending-ordered dataset (from the smallest value to the largest value). If a dataset has an odd range of values, the median is the mean of a two middle values.
Some characteristics of median are-
The median is the number in the middle of a sorted list of numbers, and it is more descriptive of the data set than that of the average.In the case of outliers in the series that could affect overall average of the numbers, the median is often utilized instead of the mean.If there are an odd number of integers, then median value is the one in the middle, with the exact number below and above it.If there are an even number of numbers with in list, identify the middle pair, add them together, then divide by two to get the median value.The median of a normal distribution is identical to the mean and mode.To know more about median, here
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find the area of a regular polygon with 6 sides that has a side length of 6 inches and an apothem of 4 meters
the area of the regular polygon with 6 sides, side length of 6 inches, and apothem of 4 meters is 72 square inches.
First, we need to find the length of the radius of the circumscribed circle.
To do this, we can use the fact that the apothem is the distance from the center of the polygon to the midpoint of a side, and the fact that the apothem and radius form a right triangle with one of the sides. So, we have:
r^2 = a^2 + s^2/4
r^2 = 4^2 + 6^2/4
r^2 = 16 + 9
r^2 = 25
r = 5
Now that we have the radius, we can find the area of the polygon using the formula:
A = (1/2) * apothem * perimeter
Since we have the apothem and side length, we can find the perimeter as:
P = 6 * 6 = 36
Therefore, the area is:
A = (1/2) * 4 * 36
A = 72 square inches
So, the area of the regular polygon with 6 sides, side length of 6 inches, and apothem of 4 meters is 72 square inches.
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