Using the image, find the slope of the line. Reduce all fractions and enter using a forward slash (i.e. "/"). If the slope is undefined, enter "undefined."
Answers
9514 1404 393
Answer:
0
Step-by-step explanation:
The slope of a horizontal line is zero (0). For any finite "run", the "rise" is zero.
slope = rise/run = 0/run = 0
Related Questions
The hypotenuse of a right triangle is 13 ft long. The longer leg is 7 ft longer than the shorter leg. Find the side lengths of the triangle.
Answers
Answer:
The shorter leg is five feet, the longer leg is 12 feet, and the hypotenuse is 13 feet.
Step-by-step explanation:
Let the shorter leg be x.
Since the longer leg is seven feet longer than the shorter leg, the length of the longer leg can be modeled by (x + 7).
Since the triangle is a right triangle, we can use the Pythagorean Theorem, given by:
[tex]a^2+b^2=c^2[/tex]
Where a and b are the side lengths and c is the hypotenuse.
The hypotenuse is 13 and the legs are x and (x + 7). Substitute:
[tex](x)^2+(x+7)^2=(13)^2[/tex]
Square:
[tex]x^2+x^2+14x+49=169[/tex]
Simplify:
[tex]2x^2+14x-120=0[/tex]
We can divide both sides by two:
[tex]x^2+7x-60=0[/tex]
Factor:
[tex](x-5)(x+12)=0[/tex]
Zero Product Property:
[tex]x-5=0\text{ or }x+12=0[/tex]
Solve for each case:
[tex]x=5\text{ or } x=-12[/tex]
Since lengths cannot be negative, we can ignore the negative answer. So, our only solution is:
[tex]x=5[/tex]
The shorter leg is five feet, the longer leg will be (5 + 7) or 12 feet. And the hypotenuse is 13 feet as given.
Help?!??? What is the distance!
Trig. Ch.7.1
Answers
9514 1404 393
Answer:
100 m
Step-by-step explanation:
One side between two angles is given, so we need to find the third angle. The sum of angles in a triangle is 180°, so the third angle is ...
A = 180° -110°20' -13°20' = 56°20'
The law of sines can be used to find the length of side AB:
AB/sin(C) = BC/sin(A)
AB = BC·sin(C)/sin(A) . . . . multiply by sin(C)
AB = (360 m)sin(13°20')/sin(56°20') ≈ 99.75253 m
The distance AB across the river is about 100 m.
Identify the relationship between sampling error and sample size.
Answers
Answer:
as the sample size increases, the margin of error decreases
In a blind ESP test, a person correctly identifies whether a tossed coin comes
up heads or tails in 63 trials out of 200. Using the normal approximation
(without the continuity correction), which of the following would you use to
calculate the probability of correctly identifying 63 or more?
Answers
Answer:
C
Step-by-step explanation:
the probability of the outcome being greater than 63 is x≥63
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding miles/hour. The records show that exactly of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Answers
Answer:
the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
Step-by-step explanation:
The computation of the standard deviation of the speeds of cars is shown below;
The z score for the top 1% is 2.326
So,
= (75 - 61) ÷ standard deviation = 2.326
Standard deviation is
= 14 ÷ 2.326
= 6.0 miles per hour
Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
A random sample of 30 patties that were inspected over the course of the last week revealed that the average weight was 95.0 grams. The standard deviation was 0.25 grams. What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])
Answers
Answer:
4.56% of the deliveries are likely to be outside the specification limits.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average weight was 95.0 grams. The standard deviation was 0.25 grams.
This means that [tex]\mu = 95, \sigma = 0.25[/tex]
What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])?
Less than 94.5, or more than 95.5. Since the normal distribution is symmetric, these probabilities are the same, so we can find one of them and multiply by two.
The probability that it is less than 94.5 is the p-value of Z when X = 94.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{94.5 - 95}{0.25}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228
2*0.0228 = 0.0456
0.0456*100% = 4.56%
4.56% of the deliveries are likely to be outside the specification limits.
A populations instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a bacterial culture x hours after the start of an experiment How many hours after the experiment began was the instantaneous growth rate equal to 0? r(x)=0.01(x+2)(x^2 -9) A. 9 B. 2 C. 0 D. 3
Answers
Answer:
3
Step-by-step explanation:
r(x) = 0.01(x + 2)(x^2 - 9)
We are looking fo the value of x at which r(x) = 0.
We set the function equal to 0 and solve for x.
0.01(x + 2)(x^2 - 9) = 0
Divide both sides by 0.01. Factor x^2 - 9 as the difference of two squares.
(x + 2)(x + 3)(x - 3) = 0
x + 2 = 0 or x + 3 = 0 or x - 3 = 0
x = -2 or x = -3 or x = 3
Since we are looking for a time after the experiment started, and it started at x = 0, we discard the negative answers, and we keep x = 3.
Answer: 3
Answer:
3
Step-by-step explanation:
EDMENTUM
Political party affiliation is believed to be a very strong indicator of how voters will vote in Presidential Elections. You are interested in determining if voter party loyalty has changed since 1992. During the 1992 election, the proportion of self-proclaimed Republicans who voted for George H. W. Bush was 0.924. During the 2012 election, in a survey of 277 Republican voters, 213 indicated that they had voted for Mitt Romney. The 90% confidence interval for this proportion is ( 0.7273 , 0.8106 ). What is the best conclusion you can make from this information that is listed below
Answers
Answer:
The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
The 90% confidence interval for the proportion of Republican voters that had voted for Mitt Romney is (0.7273, 0.8106). The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.
simplify x^0 y^-3/x^2y^-1
Answers
The answer is 1/x^2y^2
The given expression is [tex] \frac{ {x}^{0} y { - }^{3} }{ {x}^{2}y { - }^{1} } [/tex]
We know that any number raised with zero power equals 1. Thus, [tex] {x}^{0} = 1[/tex]
Hence, the expression becomes
[tex] \frac{y { - }^{3} }{ {x}^{2} y { - }^{1} } [/tex]
Now, apply the quotient rule,[tex] \frac{ {x}^{ \alpha } }{ {x}^{b} } = {x}^{ \alpha - b} [/tex]
Using this rule, we have
[tex] \frac{1}{ {x}^{2} y { - }^{1 - ( - 3)} } [/tex]
[tex] = \frac{1}{ {x}^{2} y { - }^{1 + 3} } [/tex]
[tex]= \frac{1}{ {x}^{2} {y}^{2} } [/tex]Hence, the simplified expression is [tex] \frac{1}{ {x}^{2} {y}^{2} } [/tex]
Names the figures in two different ways.
Answers
Answer:
hsjsjsjsjaiisisudujsjsjsjsj
Write the equation of the line in fully simplified slope-intercept form.
2
-12-11-10-9-8-7-5-4-3-2-1
1 2 3 4 5 6 7 8 9 10 11 12
Answers
Answer:
[tex]Equation : \ y = \frac{4}{5}x + 4[/tex]
Step-by-step explanation:
To find equation of a line we will consider two points through which the lines passes .
Let it be ( -5 , 0 ) and ( 0 , 4 )
Step 1 : Find the slope
[tex]slope , m = \frac{y_2 - y_1}{x_2-x_1} = \frac{0-4}{-5-0} = \frac{-4}{-5} = \frac{4}{5}[/tex]
Step 2 : Equation of the line
[tex](y - y_1) = m(x - x_1) \\\\or \\\\(y - y_2) = m (x -x _2)[/tex]
We will use the second point ( 0. 4)
[tex](y - 4) = \frac{4}{5}(x - 0)\\\\y = \frac{4}{5}x + 4[/tex]
What is the slope of a line parallel to
a)-1/2
b)-2
c)1/2
d)2
Answers
Answer:
parallel lines has equal gradient
answer
c ,1/2
can anybody help me please? I'll give brainlest for correct answer
Answers
Answer:
1) 40 degrees
2) 140 degrees
3) 110 degrees
4) 70 degrees
5) 70 degrees
Explanation:
Use the curved protractor they have created you, and count every dash as 10 degrees. Keep in mind that the whole thing equals 180 degrees, and half would equal 90 degrees. Some call it a right angle.
Let me know if my answer is correct for the other users that will see this message. Thank you!
-kiniwih426
Kern Shipping Inc. has a requirement that all packages must be such that the combined length plus the girth (the perimeter of the cross section) cannot exceed 99 inches. Your goal is to find the package of maximum volume that can be sent by Kern Shipping. Assume that the base is a square.
a. Write the restriction and objective formulas in terms of x and y. Clearly label each.
b. Use the two formulas from part (a) to write volume as a function of x, V(x). Show all steps.
Answers
Answer:
Step-by-step explanation:
From the given information:
a)
Assuming the shape of the base is square,
suppose the base of each side = x
Then the perimeter of the base of the square = 4x
Suppose the length of the package from the base = y; &
the height is also = x
Now, the restriction formula can be computed as:
y + 4x ≤ 99
The objective function:
i.e maximize volume V = l × b × h
V = (y)*(x)*(x)
V = x²y
b) To write the volume as a function of x, V(x) by equating the derived formulas in (a):
y + 4x ≤ 99 --- (1)
V = x²y --- (2)
From equation (1),
y ≤ 99 - 4x
replace the value of y into (2)
V ≤ x² (99-4x)
V ≤ 99x² - 4x³
Maximum value V = 99x² - 4x³
At maxima or minima, the differential of [tex]\dfrac{d }{dx}(V)=0[/tex]
[tex]\dfrac{d}{dx}(99x^2-4x^3) =0[/tex]
⇒ 198x - 12x² = 0
[tex]12x \Big({\dfrac{33}{2}-x}}\Big)=0[/tex]
By solving for x:
x = 0 or x = [tex]\dfrac{33}{2}[/tex]
Again:
V = 99x² - 4x³
[tex]\dfrac{dV}{dx}= 198x -12x^2 \\ \\ \dfrac{d^2V}{dx^2}=198 -24x[/tex]
At x = [tex]\dfrac{33}{2}[/tex]
[tex]\dfrac{d^2V}{dx^2}\Big|_{x= \frac{33}{2}}=198 -24(\dfrac{33}{2})[/tex]
[tex]\implies 198 - 12 \times 33[/tex]
= -198
Thus, at maximum value;
[tex]\dfrac{d^2V}{dx^2}\le 0[/tex]
Recall y = 99 - 4x
when at maximum x = [tex]\dfrac{33}{2}[/tex]
[tex]y = 99 - 4(\dfrac{33}{2})[/tex]
y = 33
Finally; the volume V = x² y is;
[tex]V = (\dfrac{33}{2})^2 \times 33[/tex]
[tex]V =272.25 \times 33[/tex]
V = 8984.25 inches³
A company makes storage containers with sheet steel walls. The containers are shaped like rectangular prisms, as shown below. If the company is going to make 10 containers, how many square meters of sheet steel will be needed
Answers
Answer:
[tex]2360m^2[/tex] of sheet steel are needed
Step-by-step explanation:
Given
The missing dimensions are:
[tex]Length = 5m[/tex]
[tex]Width = 6m[/tex]
[tex]Height = 8m[/tex]
[tex]n=10[/tex] --- number of containers
Required
The surface area of all containers
First, we calculate the surface area (A) of 1 container
[tex]A=2*(Length * Width + Length * Height + Width * Height)[/tex]
[tex]A=2*(5m* 6m+ 5m* 8m+ 6m * 8m)[/tex]
[tex]A=2*(30m^2 + 40m^2 + 48m^2)[/tex]
[tex]A=2*(118m^2)[/tex]
[tex]A=236m^2[/tex]
The surface area of 10 is:
[tex]Area = 10 * A[/tex]
[tex]Area = 10 * 236m^2[/tex]
[tex]Area = 2360m^2[/tex]
I’ll give brainliest
Answers
Answer:
y = 1.19x
Step-by-step explanation:
y is the dependent variable (total cost)
x is the independent variable (number of pounds)
What's the Error? Explain the error. Find the correct solution.
12-(-8)= 4
Answers
Step-by-step explanation:
12-(-8)=4
12+8=20
because - - sign +
ACTIVITY 1 Directions: Interpret these circle graphs
A. The pie graph below shows what a normal human body is made of.
Questions:
1. As shown in the graph,what composes the human body?
2. Which makes up the greatest part of the human body? the least?
Answers
Step-by-step explanation:
1) it is composed of 20% of fat, 17% of bone, 50% of muscle and 13% others(minerals)
2) muscle makes up the greatest part and the minerals makes up the least.
hope it heals u.
make me brain list Pls.
What is the value of the angle X in the following diagram ?
A)60 degree
B)100 degree
C)120 degree
D)140 degree
Any help ?! plz
Answers
Answer:
D
[tex]x + 40 \degree = 180\degree \\ x = 180\degree - 40\degree \\ x = 140\degree[/tex]
Answer:
x = 140°
Step-by-step explanation:
x and 40° are adjacent angles and sum to 180° , then
x + 40° = 180° ( subtract 40° from both sides )
x = 140°
A rectangular pyramid with a base of 9 units by 4 units and a height of 7 units.
Which is the correct calculation for the volume of the pyramid?
One-third(36)(7)= 84 units3
One-half(36)(7) = 126 units3
36(7) = 252 units3
36(7)(3) = 756 units3
Answers
The answer is A.
Hope this helps! can i have brainliest lol
Answer:
a
Step-by-step explanation:
Find the area of a circle with diameter 10 inches. Round to the nearest hundredth points)
Answers
Answer:
78.54inches²
Step-by-step explanation:
Area of a circle=πr²
radius=½ diameter
=5inches
=π×(5inches)²
=π25inches²
=78.539816339744830inches²
rounded to the two decimal places=78.54inches²
which point best represents 55? Explain your answer.
Answers
Best represents 55? None of these points are 55. The closest answer I can get you is point D on 11 because 55 is divisible by 11...(5)
Answer:
d is the corrext answer :)
de acuerdo a la sucesion 11,18,25,32... encuentra el término que se ubica en la posición 50
Answers
Answer:
354.
Step-by-step explanation:
De acuerdo a la sucesión 11,18,25,32..., para encontrar el término que se ubica en la posición 50 se debe realizar el siguiente razonamiento lógico-matemático:
32 - 25 = 7
25 - 18 = 7
18 - 11 = 7
Así, los números van subiendo de 7 en 7. Por lo tanto, para determinar el número que se ubica en la posición 50 debe realizarse el siguiente cálculo:
(7 x 49) + 11 = X
343 + 11 = X
354 = X
Por lo tanto, el término que se ubica en la posición 50 es 354.
Help please I don’t know how to do this
Answers
[tex]\sqrt[3]{a^2+b^2} = (a^2+b^2)^{\frac{1}{3}}[/tex]
The secret number has 5 digits: 3, 9, 1, 6, 2
The digit in the tens place is a prime number
The digit in the ten thousands place is 3 times the digit in the tens place
The secret number rounds to 90,000.
The difference of the digits in the hundreds place and ones place is 5.
The digit in the hundreds
Answers
92631
thats the answerrrrrrrrrrrrrrrrrrrr
Step-by-step explanation:
the answers is 92631
plz mark me as a brilliant
PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
Answers
Answer:
-2 and 0
Step-by-step explanation:
EZ
Write the standard equation of the circle in the graph.
Answers
Answer:
[tex](x-4)^2 + (y+3)^2 = 16[/tex]
Step-by-step explanation:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where [tex](h, k)[/tex] is the center of the circle and [tex]r[/tex] is the radius
The mean waiting time at the drive-through of a fast food from the time the order is placed to the time the order is recieved is 84.3 seconds. A manager devises a new drive-through system that he believes will decrease the wait time. To test his claim, he initiates the new system at his restaurant and measures the wait time for 45 randomly selected orders and finds the sample mean to be 81.9 and a sample standard deviation of 17.3.
1. Has the wait time significantly decreased?
2. Write the appropriate hypothesis statements for this test.
3. Also what is the t-test and p-value?
Answers
Answer:
1.) No ;
2.) - 0.931
3.) 0.1785
Step-by-step explanation:
Given :
μ = 84.3 ; xbar = 81.9 ; s = 17.3
H0 : μ = 84.3
H1 : μ < 84.3
The test statistic :
(xbar - μ) ÷ (s/√(n))
(81.9 - 84.3) / (17.3/√45)
-2.4 / 2.5789317
= - 0.9306
= - 0.931
Using the test statistic, we could obtain the Pvalue : df = n - 1 ; df = 45 - 1 = 44
Using the Pvalue calculator :
Pvalue(-0.9306, 44) = 0.1785
Using α = 0.05
The Pvalue > α
Then we fail to reject H0; and conclude that there is no significant evidence to support the claim that the mean waiting time is less than 84.3
What is the answer to this
Answers
Answer:
김수아 임니다 올드 그란 파
Step-by-step explanation:
미안하지 미안하지 미안하지 미안하지
h(-7)=
See graph below to help solve.
Answers
-h*7
-7h
and the right answer -7h