Answer:
y= -x+1
Step-by-step explanation:
The slope of a line that is perpendicular to a graph is equal to the negative reciprocal of the graph's slope.
slope = 1 negative reciprocal = - (1/1) = -1
Now, you have to find the y-intercept by using the given points (3,-2) and the slope that was found (-x)
y= -x+b
-2=-3+b
1=b
y= -x+1
PLEASE HELP ME WITH THIS
Answer:
answer for first one is 8
for 2nd one is [tex]2(x+5)/3x^2-7[/tex]
for 3 rd one is [tex](x-5)/x[/tex]
for 4th one is [tex]3x^{2} n^{2} (7n-9)/7x-9[/tex]
Step-by-step explanation:
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(-8,-7) and (-6,2)
*Click twice to draw a line. Click a segment to erase it.
The triangle has a hypothenuse 9.21 units and the graph it's attached below
Distance Between Two PointsThe distance between any two points is the length of the line segment joining the points. There is only one line passing through two points. So, the distance between two points can be calculated by finding the length of this line segment connecting the two points.
The formula of distance between two points is given as
d = √(y₂ - y₁)² + (x₂ - x₁)²
The two points are
(-8, -7)(-6, 2)Substituting the values into the formula above;
d = √(2 -(-7))² + (-6-(-8))²
d = √85
d = 9.21 units
The hypothenuse of the triangle is 9.21 units
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what is the correct procedure when you want to do a test of the population mean but the population standard deviation is unknown? select all that apply.
When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).
Barb has a jewelry box in the shape of a rectangular pyramid. The top opens at a cross section parallel to the base
If top opens at a cross section parallel to the base of the rectangular pyramid, then the shape of the opening of the base will be rectangle
The shape of the jewelry box = Rectangular pyramid
The top opens at a cross section parallel to the base
The parallel lines are defined as the the coplanar straight line that are equal distance from each other and never meet.
The shape of the base of the rectangular pyramid is rectangle and open at a cross section parallel to the base, then the shape of the opening of the base will be same as the base
The shape of the opening of the base will be rectangle
Hence, if top opens at a cross section parallel to the base of the rectangular pyramid, then the shape of the opening of the base will be rectangle
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0.25 as a percentages
Answer:
25%
Step-by-step explanation:
got it right on my quiz .
The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and the standard deviation is 7 months. Find the probability that a random sample of 28 smoke detectors will have a mean lifetime between 57 and 62 months. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answer to at least four decimal places and intermediate z-value calculations to two decimal places.
The probability that a random sample of 30 smoke detectors will have a mean lifetime between 57 and 62 months is 0.8945.
Let x represent the lifespan of smoke detectors manufactured by a business.
We assume that the lifetime of smoke detectors manufactured by a business is normally distributed.
Given: The average lifetime of a company's smoke detectors is 5 years, or 60 months, with an 8-month standard deviation.
μ = 60, σ = 8 and samle size n = 30
The probability that a random sample of 30 smoke detectors will have a mean lifetime of 57 to 62 months is :
P(57 < P < 62) = P{(57-60)/(8/√30) < ((x-μ)/σ)/(σ/√n) < (62-60)/(8/√30)}
P(57 < P < 62) = P(-1.37 < z < 2.05)
= P(z<2.05) - P(z< -1.37)
= P(<2.05)-(1-P(<1.37)) P(Z) = 1 − P(Z < 2)]
= 0.9798178-(1-0.9146565) [By using p-value table for z]
= 0.8944743≈ 0.8945
Hence, the probability that a random sample of 30 smoke detectors will have a mean lifetime between 57 and 62 months is 0.8945.
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The ratio of students to adults on a field trip is 5 to 3. Which table correctly represents this ratio?
Answer: Though there is not enough information to be sure, a table to complete this ratio could be one include the sets of numbers (5,3) (10,6) and (15, 9)
Step-by-step explanation:
write the equation of the circle whose center and radius are given 1 . center (2,-2) radius =6
The picture is the question im asking sorry peeps i have to write at least 20 words here or i wont be able to ask the question
43 distance diver descend from the rock to the coral
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
A deep sea driver descended from a rock with an elevation of -45.5 feet to a coral reef with an elevation of -88.5 feet
We need to find the distance between -45.5 ft and -88.5 ft.
So the distance between those numbers is given by:
|-45.5-(-88.5)|
|-45.5+88.5|
|88.5-45.5|
|43.0|
|43|
43
Hence, 43 distance diver descend from the rock to the coral
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Y = √x, (1, 1)
Find an equation of the tangent line to the curve at the given point
Step-by-step explanation:
[tex] \frac{dy}{dx} ( \sqrt{x} ) = \frac{1}{2 \sqrt{x} } [/tex]
The slope of the line at x=1 is
[tex] \frac{1}{2(1)} = \frac{1}{2} [/tex]
so our equation is
[tex]y - 1 = \frac{1}{2} (x - 1)[/tex]
[tex]y - 1 = \frac{1}{2} x - \frac{1}{2} [/tex]
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
select the sequence of transformations that shows that polygon A is congruent to Polygon B. Please helpppp!!
Answer:
C.
Step-by-step explanation:
It can not be a or b because the figure is upside-down.
It cannot be d because the figure would literally fly off the grid shown.
It must be C because the figure rotates 90° counterclockwise and moves 4 units to the right.
Can someone please help me.
Answer:
We have to prove the triangles ΔXYW and ΔZYW are similar. We can do this by showing that they have two equal/in-ratio corresponding sides with the same angle between them (SAS/side-angle-side), or by showing they have two equal corresponding angles (AA/angel-angle), or by showing their sides are in ratio (SSS).
We are told XY=ZY, so we already know the triangles share an equal side.
Both triangles also share YW as a side.
Because YW bisects <XYZ, we know <XYW = <ZYW, so we know the angle between the triangle's corresponding sides are the same.
Therefore, since the triangles have two equal corresponding sides with the same angle between them (SAS), we can say they are similar.
Hope this helps :)
I need help on question 22 . Please help
Answer:
x=6
Step-by-step explanation:
11x-3=4x+39
-4x -4x
7x-3=39
+3 +3
7x=42
______
7 7
x=6
11(6)-3=66-3=63
4(6)+39=63
yw hope it helps
i need help please. i can’t be wrong or i fail :(
There are 40 kg of sugar in the bag. Strawberry jam was used
4 kg, but 1/4 of the remaining sugar was used for the cherry jam. How many kilograms of sugar were used for cherry jam?
The kilograms of sugar that were used for cherry jam is 9kg.
What is fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Since there are 40 kg of sugar in the bag. Strawberry jam was used which was 4 kg. The remaining kilograms will be:
= 40kg - 4kg
= 36 kg
Since 1/4 of the remaining sugar was used, the amount used will be:
= Fraction × Total amount
= 1/4 × 36
= 9kg.
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Suppose f(x)=√x+1 and g(x)=x² + n. If f(g(7)) = 9, what is the value of g(n)?
..
Step-by-step explanation:
g(7)=
[tex] {7}^{2} + n[/tex]
[tex]49 + n[/tex]
f(g(7))=n
[tex]f(g(7)) = \sqrt{49 + n + 1} [/tex]
[tex]f(g(7)) = \sqrt{n + 50} [/tex]
[tex]9 = \sqrt{n + 50} [/tex]
[tex]81 = n + 50[/tex]
[tex]n = 31[/tex]
So
[tex]g(31) = 31 {}^{2} + 31[/tex]
[tex] = 992[/tex]
Quadratic function that includes
points 0,8 2,10 3,2
Answer:
The quadratic function has the following sets of values below: (0,8) (2,10) (3,1). The quadratic functions represented as follows: f(x) = ax² + bx + c. using (0,8) 8 = a(0)² + b(0) + c. 8 = c. Therefore, using (2, 10)(3 , 1). f(x) = ax² + bx + c.
Subtract the linear expressions. (2/5x−1)−(1/4x+2)
Step-by-step explanation:
(2/5x − 1) − (1/4x + 2)
2/5x − 1 − 1/4x - 2
8/20x - 1 - 5/20x - 2
3/20x - 1 - 2
3/20x - 3
5. Calculate the distance around a triangle whose sides are x / 2 , x /3 , and x/4
The distance around the given triangle is [tex]\cfrac{13x}{12}[/tex].
How do I calculate the perimeter of a triangle?We are asked to calculate the distance around the triangle, commonly known as the perimeter.
The perimeter is the sum of all side lengths in any shape. For a triangle, you add up all the side lengths and that is your perimeter.
What we know:Side 1 = [tex]\cfrac{x}{2}[/tex]Side 2 = [tex]\cfrac{x}{3}[/tex]Side 3 = [tex]\cfrac{x}{4}[/tex]CalculateNow we need to add up all these side lengths.
[tex]\cfrac{x}{2} +\cfrac{x}{3} +\cfrac{x}{4}[/tex]
We have fractions with unlike denominators. We need to get common denominators in order to solve. To do this, we need to obtain the GCF (Greatest Common Factor) of the numbers 2, 3, and 4.
This number is 12.
By changing the fractions so they all have denominators of 12, we retrieve our new equation:
[tex]\cfrac{6x}{12} +\cfrac{4x}{12} +\cfrac{3x}{12}[/tex]
Now we add them:
[tex]\cfrac{6x+4x+3x}{12}=\cfrac{13x}{12}[/tex]
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1. There are 350 employees in a company of
these 2/3rds are men. What is the ratio of women
to men in the company?
Answer:
350:3=116.66666....
Step-by-step explanation:
so 1/3 is 116.6 (117)
Ratio of women in company is 117.
Good luck!
Thank me later.
Tadano
Substitute the given values into the formula, and solve for the unknown variable.
A=bh; A=14, b=7
h=
Answer:
[tex]h=2[/tex]
Step-by-step explanation:
[tex]A=bh \\ \\ 14=7h \\ \\ h=2[/tex]
Answer:
h = 2
Step-by-step explanation:
A = 14; b = 7
A = bh
14 = 7h
7h = 14
Divide both sides by 7.
h = 14/7
h = 2
A jar has marble ms in these three colors only: 7 green, 10 blue, 3 red.
What is the probability of randomly choosing a green marble, after choosing (and keeping) a red marble?
Answer with a percentage rounded to the nearest tenth.
The probability of randomly choosing a green marble after you have chosen red is 4.4%
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Given
A jar has 20 marbles: 3 green, 12 blue, 5 red.
Probability;
In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
The probability of choosing a red marble = Number of red marbles / Total number of marbles
= 5/20
The probability of choosing a green marble is = Number of green marbles / New total number of marbles
= 3/19
Therefore,
The probability of randomly choosing a green marble after you have chosen red is;
= 5/20 * 3/19
= 3/68
percentage = 3/68 * 100 = 4.4%
Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%
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Suppose that $6000 is placed in a savings account at an annual rate of 4%, compounded quarterly. Assuming that no withdrawals are made, how long will it take for the account to grow to $8670?
The time taken for the money to grow to $8670 at compound interest is approximately 9.24 years.
Given the amount of money that is the principal = $6000
Rate = 4% compounded quarterly.
Time = t
Amount = $8670
Now we know that the amount is calculated by the formula:
A = P(1+r/4)ⁿ
8670 = 6000(1+0.01)ⁿ
Hence
log 1.445 = n log 1.01
or, n = 36.99
Number of years = 36.99 / 4 = 9.24 years.
The interest that is added to a loan or deposit is referred to as compound interest. Compound interest is computed for a sum utilizing both the principal and interest already paid. The main distinction between compound interest and simple interest is this.
If we look at our bank statements, interest is usually credited to our account once a year. While the principle remains constant, the interest changes annually.
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Evaluate the function f(x) = 2x² – 3x
According to the solving the value of the Quadratic equation are as follows:
x = 0
x = 2
Describe the quadratic formula:We can answer any quadratic equation using the quadratic formula. The first step is to change the equation's form to ax2+bx+c=0, where a, b, but instead c are the coefficients. The formula (-b(b2-4ac))/(2a) is then used to enter these coefficients. View instances of the formula being used to solve various equations.
How should a quadratic equation be presented to students?Make a video of the pupils utilizing one technique to solve a quadratic equation. Allowing pupils to pick is an option, but you can also direct them to utilize the quadratic equation, factoring, or square-rooting.
According to the given information:f(x) = 2x² – 3x
x- (2x² – 3x) = 0
x - 2x² + 3x = 0
4x - 2x²= 0
x = 0
x = 2
According to the solving the value of the Quadratic equation are as follows:
x = 0
x = 2
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Find the real and complex solutions of x^4+12x^2=-27
Answer:
[tex]x=\pm\sqrt{3i} ,\pm3i[/tex]
Step-by-step explanation:
1) Move all terms to one side.
[tex]{x}^{4}+12{x}^{2}+27=0[/tex]
2) Factor [tex]{x}^{4}+12{x}^{2}+27x[/tex].
1) Ask: Which two numbers add up to 12nd multiply to 27?
3 and 9
2) Rewrite the expression using the above.
[tex]({x}^{2}+3)({x}^{2}+9)[/tex]
Outcome: [tex]({x}^{2}+3)({x}^{2}+9)=0[/tex]
2) Solve for x.
1)Ask: When will[tex]({x}^{2}+3)({x}^{2}+9)[/tex] equal zero?
When [tex]{x}^{2}+3=0[/tex]or[tex]{x}^{2}+9=0[/tex]
2) Solve each of the 2 equations above.
[tex]x=\pm\sqrt{3i} ,\pm3i[/tex]
Thanks.
The sum of three smallest factors (including 1) of the number N equals 6, and the sum of the three greatest factors of N (including N itself) equals 462. What is the value of N?
You will get brainiest if you include a detailed explanation. Thank You!
Answer:
252
Step-by-step explanation:
The second and third smallest factors must add to 5. The only possibility is that these factors are 2 and 3.
The second and third largest factors must add to [tex]462-N[/tex]. These factors are [tex]N/2[/tex] and [tex]N/3[/tex].
[tex]462-N=\frac{N}{2}+\frac{N}{3} \\ \\ 462-N=\frac{5N}{6} \\ \\ 462=\frac{11N}{6} \\ \\ N=252[/tex]
Val's whole-house central air conditioner uses 3,500 watts when running. Val runs the AC 7 hours per summer day. Electricity costs (10 cents)/(1 kilowatt-hour). How much does Val's AC cost to run for a summer month of 30 days?
During 30 days of summer, Val will spend $ 73.5 on electricity from the use of his air conditioner.
How to find the value of x?Any of the following algebraic expressions should be used: addition, subtraction, multiplication, and division. Bring the variable to the left side, then move all of the other values to the right side to determine the value of x. For the outcome, simplify the values.
Since Val's air conditioner uses 3,500 watts when running, and that Val Utilizes it for 7 hours during summer days, spending 10 cents per kilowatt hour, estimating how much money Val will spend during a 30-day summer must be done the following calculation:
3,500 watts = 3.5 kilowatts
3.5 kilowatts per hour = 35 cents
35 cents × 7 hours = 245 cents per day
245 cents per day × 30 days = 7,350 cents per month
7,350/100 = X
73.5 = X
Therefore, during 30 days of summer, Val will spend $ 73.5 on electricity from the use of his air conditioner.
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How do I find the line above the 2 in calculator and what is it called?
Answer:
A bar notation
Step-by-step explanation:
the line is called a bar notation
Answer:
If you have a line over a number (let's say there is a line over 0.2):
0.2, then it means that it is a repeating number.
So, a line over 0.2 would mean it is actually 0.2222222222 etc. They just don't want to right it out because it is way to long, and it is infinite.
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 14 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Simplify the following expression by combining like terms: 4(6m + 4) - 2m
Answer:
22m+16
Step-by-step explanation:
4(6m+4)-2m
4(6m)+4(4)-2m
24m+16-2m
24m-2m+16
22m+16
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If the data in the stem-and-leaf graph below were shown in a line plot, which statement(s) would be true of the line plot? ( Can pick more than one answer)
The statement that would be true if the data in the data in the stem-and-leaf plot is shown in a line plot is: D. We could calculate the range and median.
What is a Line Plot?A line plot is a graph that shows individual data in a data set with the use of dots. Each dot represents a data plot.
In a line plot, we can easily find the middle of the data distribution which is the median of the data and also we can determine the highest and lowest value which enables us to find the range of the data.
Thus, using the stem-and-leaf plot in the diagram, below, write out each data points given, which are:
68, 70, 80, 86, 88, 88, 96, 96, 97, 97, 98, 98, 99, 100, 100, 100, 100, 100
The line plot for these data would have the following frequency for each data point:
68 - 1 dot
70 - 1 dot
80 - 1 dot
86 1 dot
88 - 2 dots
96 - 2 dots
97 - 2 dots
98 - 2 dots
99 - 1 dot
100 - 5 dots
The line plot is shown in the diagram below.
Range = 100 - 68 = 32
Median = 97
Therefore, the answer is: D. We could calculate the range and median.
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