Answer:
The equation is [tex]y=\frac{-3}{2} x-9[/tex]
Step-by-step explanation:
First, you will have to find the slope of the two points.To do that, you will have to use the formula : [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Our points are [tex](1,6)[/tex] and [tex](5,0)[/tex]
We will have to substitute the points into the formula.
[tex]m=\frac{0-6}{5-1}[/tex]
Then, we will simplify
[tex]m= \frac{-6}{4}[/tex]
We could simplify that fraction into [tex]\frac{-3}{2}[/tex]
So, our slope is [tex]\frac{-3}{2}[/tex]
We will have to pick a coordinate point, and choose. I chose [tex](1,6)[/tex]
We will substitute the x-value and the y-value of the coordinate point, including our slope, to calculate the y-intercept.
The formula we will be using is [tex]y=mx+b[/tex]
We will substitute in our values which will make it look like:
[tex]6=\frac{-3}{2} (1)+b[/tex]
We will then multiply [tex]\frac{-3}{2}[/tex] by [tex]1[/tex] which will stay the same.
Then, we will multiply [tex]\frac{-3}{2}[/tex] by [tex]6[/tex] which will equal [tex]-9[/tex]
[tex]-9=b[/tex]
Hence, the equation for our line is [tex]y=\frac{-3}{2} x-9[/tex]
Hope it helped:D
-Jazz
Use the substitution method to solve the system of equations. Choose the
correct ordered pair
y = 12x-8
y=8x
A (4.12
B (3,15
C. (5.11
D. (216)
Answer:
D) (2,16)
Step-by-step explanation:
Y=12x-8
Y=8x
8x=12x-8
8=12x-8x
8=4x
2=x
Y=8x
Y=16
Anybody pls solve this question and explanation btw.
Answer:
[tex]Vol=883.6875\,\, cm^3\\[/tex]
Step-by-step explanation:
Recall that the volume of a whole sphere is given by the formula:
[tex]Vol_{sphere}=\frac{4}{3} \pi\,R^3[/tex]
then, the volume of a semi-sphere would be half of the formula above:
[tex]Vol=\frac{2}{3}\, \pi\,R^3[/tex]
Now, the radius R is given by half of the semi-sphere diameter: 15/2 = 7.5 cm.
which makes our calculation:
[tex]Vol=\frac{2}{3}\, \pi\,R^3=\frac{2}{3}\, \pi\,(7.5\,cm)^3=883.6875\,\, cm^3\\[/tex]
Vincent wants to put 75 photograph in an album. A full page holds 6 photo graphs. what is the smallest number of pages vincent uses? (67)(72)(51)(42)(73)(64)(60)(20)(69)
Answer:
He needs just 13 pages
That is round up to not more than 20 pages will be the smallest
Step-by-step explanation:
Vincent wants to put 75 photograph in an album.
And a full page holds 6 photo graphs.
If 6 photographes is one page
Then 75 photographes =( 75*1)/6
75 photographes = 75/6
75 photographes= 12.5
12.5 pages will hold 75 photographes but nothing like 12.5 pages.
To the nearest page = 13 pages
Can someone please help me I really need help please help me thank you
Answer:
We can call the supplementary angle of x as (180 - x)°. Since the lines are parallel, 61° and (180 - x)° are congruent because they are alternate interior angles. We can write:
61 = 180 - x
-119 = -x
x = 119°
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
the function has two real roots and crosses the x axis in two places.
Step-by-step explanation:
Using the general quadratic formula;
[tex]x = \frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]
for a quadratic equation
[tex]ax^2 +bx+c=0[/tex]
given the quadratic function below;
[tex]G(x) = -x^2 +4x+2[/tex]
the roots of the equation can be calculated by applying the quadratic formula.
[tex]x = \frac{-4\pm \sqrt{4^2 -(4*-1*2)}}{2*-1}\\x = \frac{-4\pm \sqrt{16 -(-16)}}{-2}\\x = \frac{-4\pm \sqrt{32}}{-2}\\x = 4.449 \\or\\x = -0.449\\[/tex]
Therefore, the function has two real roots and crosses the x axis in two places.
Attached is the graph of G(x) for more understanding.
A man's basic wage for a 40-hour week
is $160.00. He is paid $5.00 per hour for
overtime. If he works 61/2 hours overtime
in a certain week, his wage for that week
is
Answer:
467.50
Step-by-step explanation:
do 61.5 times 5 to get 307.5 and add to 160 to get 467.50
Answer:
He earned $312.5 for that week
Step-by-step explanation:
Hello,
He earns $160 for 40 hours
And $5 per hour for every extra hour.
In a certain week, we work 61/2 hours as over time
1 hour = $5
61/2 hour = $x
x = [5 × (61/2)]
x = $152.5
He earned $152.5 on that week for overtime
Total amount he earned for that week = wage + overtime wage
Total amount = $160 + $152.5
Total amount = $312.5
The man earned $312.5 for that week
On a coordinate plane, a curved line with minimum values of (negative 1.56, negative 6) and (3, 0), and a maximum value of (1.2, 2.9), crosses the x-axis at (negative 2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0). Which interval for the graphed function has a local minimum of 0? [–3, –2] [–2, 0] [1, 2] [
Question:
On a coordinate plane, a curved line with
minimum values
o (negative 1.56, negative 6)
o (3, 0),
maximum value
o (1.2, 2.9),
crosses the x-axis
o (negative 2.5, 0),
o (0, 0),
o (3, 0),
crosses the y-axis
o (0, 0).
Which interval for the graphed function has a local minimum of 0?
[–3, –2]
[–2, 0]
[1, 2]
[2,3]
Step-by-step explanation:
From the given information, it 'crosses' the x-axis at (3,0), and this is also a minimum. Thus the local minimum is at (3,0), so the answer choice for the interval is [2,3] (not indicated in the posted question, so double check).
The graphed function has a local minimum of 0 at [2, 4]
What is function?A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value.
Given that, On a coordinate plane, a curved line with minimum values of (-1.56, -6) and (3, 0), and a maximum value of (1.2, 2.9), crosses the x-axis at (-2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0).
This means,
When x = -1.56, the minimum value of the function is y(min) = -6
And,
When x = 3, the minimum value of the function is y(min) = 0
Therefore, the graphed function has a local minimum of 0, when x = 3
That means, the interval which contains this value of x is [2, 4] because, x = 3 ∈ [2, 4]
Hence, the graphed function has a local minimum of 0 at [2, 4]
For more references on function, click;
https://brainly.com/question/21145944
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Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. One has 99% confidence that the sample proportion is equal to the population proportion.
B. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
C. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
D. 99% of sample proportions will fall between the lower bound and the upper bound.
Answer:
Step-by-step explanation:
Confidence interval for population proportion is expressed as
(Sample proportion ± margin of error). Thus, the sample proportion is used to estimate the population proportion. The confidence interval has lower bound and upper bound values. It does not tell probability but how confident we are. Therefore, a statement that correctly interprets the confidence interval is
C. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
The angle measurements in the diagram are represented by the following expressions.
MY
ZA = 5.7 - 15
ZB = 2x + 21
Pro
Pro
Tea
Solve for x and then find the measure of B:
Answer:
x = 12
m(∠B) = 45°
Step-by-step explanation:
Given question is incomplete; find the complete question in the attachment.
In the figure attached two lines 'l' and 'm' are the parallel lines and line 'n' is a transverse.
Angles A and B are the "Alternate exterior angles" which will equal in measure.
m(∠A) = m(∠B)
(5x - 15) = (2x + 21)
5x - 2x = 15 + 21
3x = 36
x = 12
Since, m(∠B) = (2x + 21)
= (2×12) + 21
= 24 + 21
= 45°
Therefore, x = 12 and measure of angle B will be 45°.
Find the volume of the cone.
Radius: 3 m, Slant Height: 5 m
Round to the nearest whole number.
Volume =[?] m3
Answer:
Volume of cone = 37.7m^3
The recipe calls for 3/8 cup of sugar and 1/8 cup of flour. Add:3/8+ 1/8 add the numerators only the answer is not 4/8
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}+\frac{1}{8}=\boxed{\frac{4}{8}}[/tex]
If the answer is not [tex]\frac{4}{8}[/tex] then it's probably because that it's not in the simplest form.
[tex]\frac{4}{8} =\frac{4/4}{8/4}=\frac{1}{2}[/tex]
The answer would be a half cup total.
Brainilest Appreciated.
Answer:
The answer is 1/2
Step-by-step explanation:
Percentage is 50%
Dec. Is 0.50
Remeber to fond the GCF and divide both sides by it:
4/8 = the GCF is 4 so 4/4 is 1 , 8/4 is 2
=1/2.
Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel. What is the length of Line segment G D? please help!
Answer:
5.5
Step-by-step explanation:
Picture Proof
Answer: 5.5 : ) ~ Hope you have a great day!
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a different spot to place the light. The proposed placements and the lit area that each produces are shown below. 27,5ft 38ft 60ft and 16.5ft 38ft 60 ft How do Nikki’s and Dylan’s proposals compare? Check all that apply. Nikki’s proposed placement will light a greater area than Dylan’s placement. Dylan’s proposed placement will light a greater area than Nikki’s placement. Both proposed placements will light the same sized area. Nikki’s proposed placement will light more than half the yard. Dylan’s proposed placement will light more than half the yard. Dylan’s proposed placement will light exactly half of the yard. Nikki’s proposed placement will light less than half of the yard.
Answer:
(C)Both proposed placements will light the same sized area.
(F)Dylan’s proposed placement will light exactly half of the yard.
Step-by-step explanation:
The diagram of the proposed light placement is attached below.
The area of the Rectangular Yard=60 X 38=2280 Square feet
The lit area for both placements is in a triangular shape.
Area of a triangle [tex]=\dfrac12 \times Base \times height[/tex]
Area of Nikki's Proposed Placement Lit Area =0.5 X 60 X 38[tex]=1140 ft^2[/tex] Area of Dylan's Proposed Placement Lit Area=0.5 X 60 X 38 [tex]=1140 ft^2[/tex]Therefore, the following options are correct:
(C)Both proposed placements will light the same sized area.
(F)Dylan’s proposed placement will light exactly half of the yard.
Answer the question below. Type your response in the space provided.
What is the surface area of the pyramid formed from the net shown here? The triangles are
equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one
decimal point and with the correct unit.
6 cm
Done
Clear
6 cm
6 cm
Answer:
[tex]62.4$ cm^2[/tex]
Step-by-step explanation:
The net of the triangular pyramid is attached below.
Since each of the faces is an equilateral triangle of side 6cm, the base of the pyramid will also be an equilateral triangle of side lengths 6cm .
In the equilateral triangles
Base = 6cmHeight =5.2 cmTherefore, the surface area of the pyramid formed from the net shown
= 4 X Area of One Triangular Face
[tex]=4 (\frac12 \times bh)\\=4 (\frac12 \times 6\times 5.2)\\=4(15.6)\\=62.4$ cm^2[/tex]
cual es la secuencia creciente de los divisores primos de 2520
Answer:
The answer is "[tex]2^3 \times 3^2 \times 5 \times 7\\\\[/tex]"
Step-by-step explanation:
Given:
2520
Prime factor=?
Prime factor of 2520 is:
[tex]= 2 \times 2 \times 2\times 3\times 3 \times 5 \times 7\\\\= 2^3 \times 3^2 \times 5 \times 7\\\\[/tex]
what is two plus two
Answer:
4 is the answer to your question
Step-by-step explanation:
help plz quick i will mark u brainllest
Answer:
1st one
Step-by-step explanation:
I don't do explanations just answer it mate.
Answer:
hi! your answer should be C. CA ≈ EC
Step-by-step explanation:
"C." just makes the most sense. CA and EC are equal lengths. A, B, and D are not equal. So it has to be C. Hope this helps :)
check all the answers of a present the same level precision. A) 22.543 B) 98.4 C) 0.264 D) 1.04
Answer:
A,and C
Step-by-step explanation:
A and C have the same level precision , they have three significant digit
Please help I will give out brainliest
Step-by-step explanation:
5.[tex]N^{2}[/tex]=5.3^2.5^4.x^6=3^2.5^5.x^6
Answer:
[tex]5N^2=3^2\times5^2\times x^6[/tex]
Step-by-step explanation:
N=3×5²×x³
Then:
[tex]5N^2=5(3\cdot5^2\cdot x^3)^2=5\cdot3^2\cdot5^{2\cdot2}\cdot x^{3\cdot2}= 5\cdot3^2\cdot5^{4}\cdot x^6=5^{1+4}\cdot3^2\cdot x^6=5^5\cdot3^2\cdot x^6[/tex]
please help its urgent !!!! -3c + 5d + 3c- d
Answer:
4d
Step-by-step explanation:
Am I supposed to simplify this?
-3c+5d+3c-d
-3c+3c+5d-d
0+4d
4d
Let me know if this helps :)
Answer:
= 4d
Step-by-step explanation:
-3c+3c = 0
5d-d = 4
-3c+5d+3c-d=4d
The following table shows the expressions that represent the sales of 4 companies
Rank the company sales by smallest to largest percent of increase and select the correct answer below
Answer: A,B,D,C
Step-by-step explanation:
Hi, to answer this question we have to analyze each expression:
Assuming x is the number of years, we have to calculate each equation for x =1:
A = 110 (0.70)^X = 110 (0.70)^1= 77
B = 140 (1.07)^X= 140 (1.07)^1 = 149.8
C =430 (1.90)^x=430 (1.90)^1= 817
D = 310 (1.14)^x= 310 (1.14)^1= 353.4
Comparing the sales:
77(A) < 149.8 (B) <353.4 (D) < 817(C)
So, the correct option is:
A,B,D,C
Consider the following 8 numbers, where one labelled x is unknown. 14, 22, 34, x , 34, 46, 21, 38 Given that the range of the numbers is 66, work out 2 values of x .
Answer:
x=-20 or x=80
Step-by-step explanation:
you can either make it so 46 remains the largest number and so take 66 from 46 (=-20) or you can leave 14 as the smallest number and add 66 to 14(=80)
One serving of pretzels contains 1.5 grams of fat. That is 3% of the daily amount recommended for a 2,000 calorie diet. How many grams of fat are recommended? Show your work.
Answer: 50 grams of fat
Step-by-step explanation:
From the question, we are informed that one serving of pretzels contains 1.5 grams of fat which is 3% of the daily amount recommended for a 2,000 calorie diet.
This means that we are expected to find the grams of fat for 100%. Since one serving of pretzels contains 1.5 grams of fat which is 3%, this means 1% will contain (1.5/3) = 0.5 grams of fat.
Therefore the grams of fat that are recommended will be:
= 100 × 0.5
= 50 grams of fat
Answer:
50 grams of fat
1.5 / 3 = 0.5
0.5 x 100 = 50
Step-by-step explanation:
1. What is the equation for the following graph
use photo for graph
x = 4 is the answer because the y coordinate is zero and at x axis it intersects at 4..
please mark it as brainliest ❤️❤️ and follow me..
Answer:
x=5 is the answer
Step-by-step explanation:
hope this helped
Aaron indicated that after tossing a penny 30 times, the relative frequency of heads was 0.47 (to the nearest hundredth). What would you predict the relative frequency would be after 60 coin tosses? Explain your answer. *
Answer: 0.5
Step-by-step explanation:
Given Data:
No of toss = 30
Relative frequency of heads = 0.47
What would be the relative frequency after 60 toss.
Therefore,
Since a penny has two sides, which are the head and tail.
No of head in 60 trials = 30
No of tail in 60 trials = 30
Relative frequency after 60 trials
= 30 / 60
= 1 / 3
= 0.5
Complete the table of values for y=x^2-x x -2 -1 0 1 2 3 y 0 2
Answer:
See table below
Step-by-step explanation:
y=x^2-x
x -2 -1 0 1 2 3
y ? ? ? 0 2 ?
completed table:
x -2 -1 0 1 2 3
y 6 2 0 0 2 6
A man from a village X on a bearing of 060 degree to a village Y which is 20km away.From Y,he travels to a village Z,on a bearing of 195 degree. If Z is directly east of X , calculate, correct to three significant figure the distance of Y from Z and Z from X
Distance from Y to Z is 10.4 km and Z to X is 20 km
What is Distance?Distance is a numerical measurement of how far apart objects or points are.
What is Triangle?A triangle is a polygon with three edges and three vertices.
From the given data plot the graph,
Then,
∠XYZ=∠YZX=75 degrees
Therefore XY=XZ=20 km
[tex]YZ^{2}=20^{2} +20^{2} -2(20)(20)cos30[/tex]
YZ=10.4 km
Hence, Distance from Y to Z is 10.4 km and Z to X is 20 km
Learn more about Distance and Triangle here
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Answer:
Step-by-step explanation:
Sreya bought shoes for $37.57 and x pairs of socks for $1.95 each. Which expression shows the total money spent? (1 point) 37.57x + 1.95 37.57x + 1.95x 37.57 + 1.95 + x 37.57 + 1.95x
Answer:
37.57 + 1.95x
Step-by-step explanation:
The cost of the shoes is a constant, and we don't know how many socks she bought, but we know that for every pair of socks she bought, they cost would be 1.95. Since we haven't been given the total cost of the purchase, meaning how much the total was, this will be an expression. We will multiply an x against the amount (1.95), which will calculate the price for how many socks were purchased. This means the answer will be 37.57 + 1.95x.
I will clarify a little bit more on why the other answers are incorrect. The first option is 37.57x + 1.95. This is incorrect because the question is not asking how many shoes were bought, but it is questioning how many socks were bought. Option number two states 37.57x + 1.95x. This means that the number of socks and shoes are both unknown, and the question does not state that. Also, another point to make would be that we could also add these variables together, and we do not want that. Option number three states 37.57 + 1.95 + x. X cannot be a separate variable, because by stating that, it means that there would be one more object that was bought that is unknown. I hope this helps you understand my explanation a bit more.
Have a great day, and best of luck for your math problem!
Lisa has 10 pencils. She gives two pencils to Anna and one pencil to Ben. What fraction of her pencils did she give away?
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]\frac{3}{10}[/tex]
▹ Step-by-Step Explanation
2 + 1 = 3
Written as → [tex]\frac{3}{10}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
[tex] \frac{3}{10} [/tex]Step-by-step explanation:
Total pencils that Lisa had = 10 pencils
Total pencils that Lisa had given to Anna and Ben:
=2+1
= 3
Now,
Fraction of her pencils that she gave away:
[tex] \frac{3}{10} [/tex]
Hope this helps...
Good luck on your assignment...
A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. Claim amounts are uniformly distributed on the interval [0,60] and are independent. The insurer covers 100% of each claim. Calculate the probability that the total benefit paid to the policyholder is 48 or less.
Answer:
0.89.
Step-by-step explanation:
So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;
(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."
(2). " distributed on the interval [0,60] and are independent."
(3). "The insurer covers 100% of each claim."
So, taking (1) above we will have;
(Total probability= 0.7 + 0.2 + 0.1 = 0.1)
A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.
0.8 + total probability = 0.8 + 0.1 = 0.9.
So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."
Hence, P< 48/A = P < 48/0.9 = P < 53.33.
Thus, 53.33/60 = 0.89.