Answers
Answer:
y-4=-2/5(x+5)
Step-by-step explanation:
Points slip form is y-y₁=m(x-x₁)
Since you have a graph we can see the line goes down 2 and over 5. Since the slope is going downwards it is a negative slope. This mean m=-2/5. Then pick any point on the line ( I chose (-5,4)) and plug it in for y₁ and x₁.
Related Questions
The cosine of one acute angle of a right triangle is 817.
What is the sine of the other acute angle?
Answers
The sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a cosine of one acute angle of a right triangle is 8/17.
Let's suppose the angle is α
[tex]\rm Cos\alpha = \frac{8}{17}[/tex]
As we know the cos is the ratio of adjacent to hypotenuse and Sin is the ratio of the opposite to hypotenuse.
Let's suppose the length of the hypotenuse is x units
From the Pythagoras theorem:
[tex]\rm 17^2=x^2+8^2[/tex]
x = 15 units
Now the Sin ratio:
[tex]\rm Sin\alpha = \frac{15}{17}[/tex]
Thus, the sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.
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You want to put money into a bank. The first bank will take a 1st deposit of 500 dollars and pays 4.8% compounded
quarterly. The Second bank with take a 1st deposit of 3000 dollars but pays 2.7% compounded annual
Answers
Answer:
4
Step-by-step explanation:
the step equation because of the font
C. Explain why triangle PQR is isosceles.
Answers
Check the picture below.
You roll a 6 sided die. what is P?
Answers
Answer:
Finding the probability of a single die roll requires little effort.
First, remember that by definition, a prime is an integer with precisely two factors: 1 and the number itself (which is why 1 does not qualify: it has only one factor). The numbers from 6 on down that fit the bill are {2,3,5}. Since there are six sides, your answer is:
P(prime) = 3/6 = 1/2 = 50%
Why can you say sin^2 x + cos^2 x =1 ?
Answers
Answer:
Just as the distance between the origin and any point (x,y) on a circle must be the circle's radius, the sum of the squared values for sinθ and cosθ must be 1 for any angle θ .
Step-by-step explanation:
hope this helps:)
Help please. I do not understand the assignment my teacher has given me.
Answers
Step-by-step explanation:
Match in the given pattern
1-->F
2-->A
3-->E
4-->C
5-->B
6-->D
I hope it helps you
Which equation correctly describes the relationship between the
measure of the inscribed angle and the measure of the
intercepted arc in the figure?
m JKL= mJL
1/2m JKL = mJL
2(m JKL) =mJL
m JKL = 360° – mJL
Answers
The relationship that describes the measure of the inscribed angle and the measure of the intercepted arc is: 2(m∠JKL) = m(JL)
What is the Inscribed Angle Theorem?The inscribed angle theorem states in a circle, the measure of the angle that is inscribed is always half of the arc that is intercepted. Which means that the intercepted arc is twice the measure of the inscribed angle.
In the image given:
m∠JKL is the inscribed angle.m(JL) is the intercepted arcTherefore, the relationship that describes the measure of the inscribed angle and the measure of the intercepted arc is: 2(m∠JKL) = m(JL)
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Answer:
2(m∠JKL)=mJL
Step-by-step explanation:
I took the test :)
Write an explicit formula for the arithmetic sequence:
-2,7,16,25,...
Answers
Answer:
a_n = 9n - 11
Step-by-step explanation:
Explicit rule for an arithmetic sequence is a_n = a_1 + (n-1) d
a_1 is the first term of the sequence
d is the common difference. To find d you pick a number in the sequence and subtract it by the previous number. For example, 7 - (-2) = 9
16 - 7 = 9 so, d = 9
a_1 = -2 since it is the first term. Now substitute these numbers into the formula.
a_n = -2 + (n-1)(9)
And then we simplify.
9 • n = 9n
9 • -1 = -9
Then we’ll have a_n = -2 + 9n -9 and well simplify even further.
-2 -9 = -11
So we get
a_n= 9n -11
hope that helped! God bless you!!
What type of graph would you use for a set of categorical data with 25 people surveyed?
bar graph
line graph
pictograph
stem-and-leaf plot
Answers
Answer:
line graph
oihhoihjkii
If f(x) = 3x2 1 and g(x) = 1 – x, what is the value of (f – g)(2)? 12 14 36 38
Answers
Answer:
that's the answer man ur welcome btw
Which statements are true about the graphed function?
1. The midline of the function is y = 1.
2. The period of the function is 2pi.
3. The amplitude of the function is 4.
4. The amplitude of the function is 2.5.
5. The midline of the function is y = 1.5.
6. The period of the function is pi.
Answers
The correct statements regarding the function are:
2. The period of the function is [tex]2\pi[/tex].
4. The amplitude of the function is 2.5.
5. The midline of the function is y = 1.5.
What is the amplitude of a function?The amplitude of a function is half the difference between the largest and the smallest value.
In this problem, these values are of 4 and -1, hence the amplitude is:
A = (4 - (-1))/2 = 2.5.
Thus the midline is:
y = -1 + 2.5 = 4 - 1.5 = 2.5.
What is the period of a function?The period of a function is the distance between it's repetitions. Hence, for this graph, the period is of [tex]2\pi[/tex].
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Answer:
Step-by-step explanation:
What is the answer?
Do I add?
Answers
Answer:
yess add your anwser is 32.235
the weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. a truck used to transport goats can only accommodate not more than 650 kg. if 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?
Answers
Using the normal distribution, it is found that there is a 0.0571 = 5.71% probability that the total weight exceeds the maximum weight.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, we have that the parameters are given as follows:
[tex]\mu = 60, \sigma = 10, n = 10, s = \frac{10}{\sqrt{10}} = 3.1623[/tex]
The probability that the total weight exceeds the maximum weight is the probability of a sample mean above 650/10 = 65 kg, which is one subtracted by the p-value of Z when X = 65.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{65 - 60}{3.1622}[/tex]
Z = 1.58.
Z = 1.58 has a p-value of 0.9429.
1 - 0.9429 = 0.0571.
0.0571 = 5.71% probability that the total weight exceeds the maximum weight.
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if 3 = 75 how many 3s will it take to get to 1659
Answers
Answer:
≈22
Divide 1,659 by 75(3)75 × 2 = 150 important
Write 2 at the top of your division problem, subtract 150 by 165 short form of 1,659150 - 165 = 15(9) the 9 comes from dropping the ones place in 1,659
Reconsider how many times 75 goes into 1,659(22) and since we do not have any other numbers, we write 150 and 159, because again, 1,659 has to help us solve the problem by dropping the ones place.150 - 159 = 9
_______________________________________________________
With that information, the problem is solved! We got our exact estimate, and a remainder of 9 to make up for the missing 9 in 1,650! 22 × 75 = 1,650 so add 9, the remainder.
_______________________________________________________
What did we learn today?We learned how to do long division using remainders.
Still have questions? Ask me in the comments box, and I may be able to assist.
A rectangle is _____ a trapezoid.
a. always
b.never
c.sometimes
Answers
Answer:
never.
Step-by-step explanation:
The diagram shows the height (4.5) of a cone that holds ice cream. The cone has a volume of
1.5π cubic inches.
I need explanations please, I will mark you brainliest if I get a good explanation on how and what the sum is about.
Answers
The radius of the cone that holds ice cream which has height of 4.5 inches and 1.5π cubic inches, is 1 inches.
What is of volume of cone?Volume of cone is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
The diagram of the cone is shown, in which,
The height of a cone that holds ice cream is 4.5 inches (h=4.5). The cone has a volume of 1.5π cubic inches (V=1.5π).Let suppose the radius of the cone is r inches long. Thus, put the values in the above formula,
[tex]V=\dfrac{1}{3}\pi r^2h\\1.5\pi=\dfrac{1}{3}\pi r^2(4.5)\\1.5\pi\times3=\pi r^2(4.5)\\\dfrac{1.5\pi\times3}{\pi \times 4.5}= r^2\\1= r^2\\r=\sqrt{1}\\r=1\rm\; inches[/tex]
Thus, the radius of the cone that holds ice cream which has height of 4.5 inches and 1.5π cubic inches, is 1 inches.
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a spherical tank holds 8,000 ft^3 of water. What is the diameter of the tank?
Answers
Answer:
24.8 ft
Step-by-step explanation:
Formula to find the volume of a sphere is :
Volume = [tex]\frac{4}{3}[/tex] π r³
Here,
r ⇒ radius
Given that,
Volume ⇒ 8000 ft³
Let us find the radius of the tank now.
Volume = [tex]\frac{4}{3}[/tex] π r³
8000 = [tex]\frac{4}{3}[/tex] π r³
8000 = [tex]\frac{4}{3}[/tex] × 3.14 × r³
8000 × 3 = 4 × 3.14 × r³
24000 = 12.56r³
Divide both sides by 12.56.
1910.822 = r³
∛1910.822 = r
12.40 ft = radius
And now let us find the diameter of the sphere.
d = 2r
d = 2 × 12.40
d = 24.8 ft
The diameter of the tank is 24.80 ft
Step-by-step explanation:
Given-
A spherical tank holds 8,000 ft^3 of wateri.e. The volume of spherical tank = 8,000 ft^3
Now, the formula for finding volume of any spherical figure is-
[tex] \boxed{\mathfrak{ \purple{volume \:of \: sphere = \frac{4}{3} \pi {r}^{3} }}}[/tex]Therefore, substituting value, we get
[tex]⇢8000 = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]⇢8000 \times \frac{3}{4 } = \frac{22}{7} \pi {r}^{3} [/tex]
Transposing 4/3 to left hand side ,it will become 3/4 . And Here, 8000 will get cancelled by 4 leaving 2000
[tex]⇢2000 \times 3 \times \frac{7}{22} = {r}^{3} [/tex]
Similarly , On performing further calculations, we get. ..
[tex]⇢ \frac{21000}{11} = {r}^{3} [/tex]
[tex]⇢1910.822 = {r}^{3} [/tex]
[tex]⇢ \sqrt[3]{1910.822} = r[/tex]
[tex]⇢ \underline{12.40 = r}[/tex]
Thus, the radius of the tank is 12.40 ft
Now,
The diameter of the tank = 2 × radius
[tex] \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 12.40[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: = 24.80[/tex]
•°• The diameter of the tank comes out 24.80 ft
what is the area of the parallelogram?
Answers
35cm!
4 + 4 = 8
7 + 7 = 14
13 + 8 = 21 (13 + (8 - 1 ) = 20 + 1 = 21)
21 + 14 = 35 (4 + 1 = 5, 20 + 10 = 30, 30 + 5 = 35)
Might be kind of hard to explain but just try to explain as much as u can.
Answers
The rule for a rotation by 270 ° about the origin is (x,y) ⇒ (y,-x)
Rotating the triangle PQR to create an image of the triangle involves moving the triangle PQR in a circular direction.
The coordinates of the given triangle are:
P = (-10,15)Q = (-20,5)R = (-10,5)Using the rule, the coordinates now are:
P' = (15,10)Q' = (5,20)R '= (5,10)In the attatchment, the answer is in pictoral form.
identify wether or not the solution is liner quadratic or exponential
Answers
Answer:
...
Step-by-step explanation:
there is no photo for the solution!HELP! I feel asleep in class and I need help. 7h + 3
Answers
42
Step-by-step explanation:
7h+ 3 = 45
3 + 7h = 45
h=6
7×6 = 42
The area of a rectangle is x^2+2x-24 Which of the following could be one of the dimensions?
Answers:
(x-3)
(x-4)
(x-6)
(x+8)
WILL GIVE BRAINLIEST
Answers
Answer: (x-4)
Step-by-step explanation:
x^2 + 8x +15 is the area
x+5 is the length
x+3 is the width
(x+5)(x+3)=
x^2 + 3x +5x +15
x^2 +8x + 15
Answer:
(x-4)
Step-by-step explanation:
48% as a common fraction
Answers
Answer:
12/25
Step-by-step explanation:
48% is the same as 48/100 = 12/25
Sadie's monthly allowance is $75. She saves 60% of the allowance each month.
Select all expressions that demonstrate a correct method of calculating the amount of money she saves each
month.
0.60/100 • 75
60/100 • 75
60 • 75
0.60 • 75
Answers
60/100 * 75 & 0.60 * 75
60% can be rewritten as 0.60, and since 60/100=0.60, this expression is correct as well
The other two are incorrect because 0.60/100 would be 0.6%, and 60*75 would mean she is saving 6000%
A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades. how many 7-card hands are possible with 2 hearts, 2 diamonds, 2 clubs, and 1 spade? assume that the order of the cards does not matter, and use the formula for combinations to find your answer.
Answers
The number of ways of selecting 7-cards with 2 hearts, 2 diamonds, 2 clubs, and 1 spade is 1,169,176.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades.
The number of ways of selecting 7-cards with 2 hearts, 2 diamonds, 2 clubs, and 1 spade will be
[tex]\rm Number \ of \ ways = \ ^{13}C_2 \times ^{13}C_2 \times ^{13}C_2 \times ^{13}C_1 \\\\Number \ of \ ways = 78 \times 78 \times 78 \times 13 \\\\Number \ of \ ways = 6,169,176[/tex]
The number of ways is 6,169,176.
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(2) (1) Evan joined an online game. His team of 7 players was up against another team of 10. Each player can lose 6 "lives" before they are out of the game. How many lives do all the players have combined?
Answers
help!!
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending. The independent variable is ____. A. Number of friends (f) B. Cost of party (c)
Answers
Answer:
20f=c
Step-by-step explanation:
100 points if you can help me answer these 5 questions!! :)
Answers
Answer:
A. 30°, 70° and 80°
B. 10cm
Step-by-step explanation:
A. the two triangle have same angles so the angles of triangle 2 are 30°, 70° and 80°
B. the perimeter of triangle, is twice as long as the perimeter of triangle 2 so the perimeter of triangle 2 is 20÷2 = 10 cm
Question
A former residential complex was found to be a Superfund site polluted with several hazardous materials. Tamela is an investigative journalist who would like to show whether the proportion of the residents of the complex who eventually died from cancer is greater than the regional average of 14%. She randomly selects 54 residents who lived in the complex and finds that 12 of those residents eventually died from cancer. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?
Answers
Considering the situation described, we have that:
The null hypotheses is [tex]H_0: p = 0.14[/tex].The alternative hypotheses is [tex]H_1: p > 0.14[/tex].What are the hypotheses tested?At the null hypotheses, it is tested if the proportion at the complex is the same as the rest of the population, that is, of 14%, hence:
[tex]H_0: p = 0.14[/tex].
At the alternative hypotheses, it is tested if it is greater, hence:
[tex]H_1: p > 0.14[/tex].
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Which statement correctly compares the average number of eggs laid per day for each barn?
Answers
By taking the average number of eggs for both barns, we will see that the correct option is A.
How to get the average?
For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
For barn 1, the set is {2, 5, 5, 6}
So the mean is:
M1 = (2 + 5 + 5 + 6)/4 = 4.5
For the barn 2, the set is {3, 6, 8, 9}
So the mean is:
M2 = (3 + 6 + 8 + 9)/4 = 6.5
Now, taking the quantity 100%(M2 - M1)/M1 we get:
100%*(6.5 - 4.5)/4.5 = 44%
So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.
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