Answer:
y=1/3x-1
Step-by-step explanation:
You want to find the equation for a line that passes through the point (9,2) and has a slope of 1/3.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 1/3. So you can right away fill in the equation for a line somewhat to read:
y=1/3x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(9,2). When x of the line is 9, y of the line must be 2.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (9,2).
So, why not plug in for x the number 9 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.
(9,2). y=mx+b or 2=1/3 × 9+b, or solving for b: b=2-(1/3)(9). b=-1.
The equation of the line that passes through the point (9,2) with a slope of 1/3
is
y=1/3x-1
The picture shows two boxes a teacher stacks in the storage closet.
What is the total volume of the two boxes?
A.56 cubic feet
B.21 cubic feet
C.48 cubic feet
D.68 cubic feet
Answer: 44ft^3
Step-by-step explanation:alright so ur gonna wanna split the boxes here, I recommend splitting it where there's a line between the small and big box. Now we got 2 boxes we already have all necessary measurements to find the volume of the large box so we do that one first
large box; 8×2×2= 32
now the small box if we look at the side of the big box we see its length is 2 so we just have to subtract 6-2 to find length of small box now we can solve.
small box; 3×2×2 = 12
now add 12+32= 44
Answer: 50
Step-by-step explanation:
Your first need to find the volume of each box separated. The bottom box has a length of 8ft., a width of 2ft., and a height of 2ft. Multiply all the dimensions to get a volume of 32ft. Now onto the top box. The length is 3 the width is also 2 and the height is 6 - 2 which is 3. Multiply all to get a volume of 18ft. Now add the two volumes. 18 + 32 = 50.
Need help on this question
Answer:
c Christopher
Step-by-step explanation:
hope this helps
PLEASE HELP ASAP
Solve the right triangle. Round lengths to the nearest tenth and angles to the nearest degree
Kim is making a fruit drink that uses 8 liters of grape juice and 2 liters of apple juice.
How much grape juice is used per liter of apple juice?
Answer:
4 liters
Step-by-step explanation:
Answer:
4 liters of gj per liter of aj
Step-by-step explanation:
Solve the absolute value equation |2x+11|=7
Answer: hope it helps
Step-by-step explanation:
2x+11 absolute value equals 2x+11, then 2x+11=7, subtract 11 from itself, and 7 you get 2x=4 divide both sides by 2 an you get -2=x.
Mrs. Porter’s classroom has 12/24 of the students present. Then 4/12 of the total class leaves for a field trip. What fraction of the total class remains?
Answer:
4
Step-by-step explanation:
12 4
24 12
multiply 4/12 by 2 for it to be equal to 12/24 and subtract to top number since the 2 bottom number are equal.
Find two consecutive whole numbers that √45 falls between.
Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in the table below and used the shaded columns to calculate three sample means. What is the range of the values for the sample means?
Hours of Swim Practice
4
5
3
6
3
8
3
5
4
7
6
2
4
5
3
5
2
3
4
6
1
2
3.75
4.75
Answer:
The answer is B
Step-by-step explanation:
2
Answer:
The answer is (B) 2
Step-by-step explanation:
I took the test on edge and also the person above me is correct hope that you have a wonderful day. (✿◠‿◠)
Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. The manufacturer of the flour states that 5% or less of the bags are underweight. What is this weight?
Find the z-table here.
79.7 ounces
80.4 ounces
80.9 ounces
81.3 ounces
Answer:
80.4
Step-by-step explanation:
Match each indicated measure in the first column for
⊙
O
⊙O.
Answer:
Step-by-step explanation:
By the property,
"Measure of the intercepted arc is double of the inscribed angle"
m(arc BC) = 2×48°
= 96°
By using the same property,
m(arc AC) = 2 × m(∠B)
m(∠B) = [tex]\frac{110}{2}[/tex]
= 55°
m(∠A) + m(∠B) + m(∠C) = 180° [Triangle sum theorem]
48° + 55° + m(∠C) = 180°
m(∠C) = 180° - 103°
= 77°
m(arc AB) = 2 × (m∠C)
= 2×77
= 154°
the regular price of a camera 180.00.the camera is on sale for 25% off the regular price.what is the sale price of the camera in dollars and cents
express as a ordinary numerals
(a)2×7
(b)4×10
PLEASE HELP!!!! A diver is in a diving board located 11 feet above the surface of a pool. A swimmer is directly below the diver 4 feet below the surface of the pool. What is the difference between the height of the diver and the height of the swimmer?
Answer:
I think it is a 7 foot difference between both sorry if wrong
X - 1.6 = -8.2 what is the answer
Answer:
x= -6.6
Step-by-step explanation:
add 1.6 to -8.2 then the product is the answer.
On Saturday a roadside vegetable stand sold 5 pumpkins and 20 watermelons and made $135.
on Sunday the roadside vegetable stand sold 10 pumpkins and 16 watermelons and made $150.
what is the cost of the pumpkins and what is the cost of the watermelons ?
Answer:
Pumkins $7 and Watermelons $5
Step-by-step explanation:
let pumkins be P and watermelons be W s0
5P+20W=135 and 10P+16W=150
express first equation in terms of P
5P+20W=135
5P=135-20W (divide equation by 5)
P=27-4W
now express the second equation using the new P value
10P+16W=150
10(27-4W)+16W=150
270-40W+16W=150
120=24W
W=5
now plug in w value and solve for p
5P+20(5)=135
P=7
6. Parker, Inc. used Excel to run a least-squares regression analysis, which resulted in the following output: Regression Statistics Multiple R 0.8274 R Square 0.8229 Observations 26 Coefficients Standard Error T Stat Intercept 23,859 5,196 3.65 Production (X) 3.13 0.2765 11.19 What total cost would Parker predict for a month in which they sold 3,500 units
Answer:
"34,814" is the correct solution.
Step-by-step explanation:
The given values are:
Intercept coefficient,
[tex]\beta_0 = 23,859[/tex]
Production coefficient,
[tex]\beta_1 = 3.13[/tex]
Units sold,
x = 3,500
Now,
The total cost will be:
⇒ [tex]\bar{y}=\beta_0+\beta_1 x[/tex]
On substituting the estimated values, we get
⇒ [tex]=23,859+3.13\times 3,500[/tex]
⇒ [tex]=23,859+10,955[/tex]
⇒ [tex]=34,814[/tex]
Hudson went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $29, but the price with tax came to $31.61. Find the percent sales tax.
Answer:
18
Step-by-step explanation:
multiply then add a all together
A telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the Midwest and the Northeast. The representative's belief is based on the results of a survey. The survey included a random sample of 1400 midwestern residents and 1320 northeastern residents. 50% of the midwestern residents and 38% of the northeastern residents reported that they were completely satisfied with their local telephone service. Find the 98% confidence interval for the difference in two proportions. Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval.
Answer:
(0.1361 ; 0.2239)
Step-by-step explanation:
n1 = 1400 ; p1 = 0.50 ; n2 = 1320 ; p2 = 0.38
Confidence interval = mean ± margin of error
Mean = p1 - p2
Point estimate :
p1 - p2 = 0.50 - 0.38 = 0.18
Margin of Error (MOE) = Zcritical * S. E
Standard Error(S. E) :
Sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)]
(p1(1-p1)/n1) = 0.50(0.50) / 1400 = 0.0001785
(p2(1-p2)/n2) = 0.38(0.62) / 1320 = 0.0001784
S. E = sqrt(0.0001785 + 0.0001784)
S. E = sqrt(0.0003569)
S. E = 0.0188917
Zcritical at 98% = 2.326
MOE = Zcritical * S. E
MOE = 2.326 * 0.0188917
MOE = 0.0439420942
MOE = 0.0439
Confidence interval = mean ± margin of error
Confidence interval = 0.18 ± 0.0439
Lower boundary = (0.18 - 0.0439) = 0.1361
Upper boundary = (0.18 + 0.0439) = 0.2239
(0.1361 ; 0.2239)
Determine the value of x.
Question 5 options:
A)
10
B)
10
C)
5
D)
5
Answer:
X is the hypotenuse and using 60°
Cos theta =adjacent/ hypotenuse
where 5 is your adjacent cos 60° is equals to 5/X
X= 5/Cos 60° = 5/0.5 = 10... B
The value of x will be;
⇒ x = 5
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
The perpendicular side = 5
The hypotenuse side = x
Now,
Since, We know that;
⇒ sin θ = Perpendicular / Hypotenuse
Put θ = 90°, we get;
⇒ sin 90° = 5 / x
⇒ 1 = 5 / x
⇒ x = 5
Thus, The value of x = 5
Learn more about the triangle visit:
brainly.com/question/17335144
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helpppppp ill give brainliest answer if you know
Answer:
16 in squared
Step-by-step explanation:
Please help me with this division!!!!!!!!
Answer:
1/23 hope this helps. have a good day/night
Answer:
1,781 Remainder 2
Step-by-step explanation:
Step by step
QUESTION 3.
1 POINT
When traveling to Great Britain, Bethany exchanged $909 US dc
many pounds did she receive for each US dollar?
Answer:
for each us dollar she received
Step-by-step explanation:
around .72 pounds
Show work and explain how too find the answer please I’m not fully understand the question
Answer:
She would have 24 single shoes. This is because she has 12 pairs and there are 2 of something in each pair. Therefore, Danielle would have 24 single shoes. (12*2=24) Hope this helped!!
Order these numbers from least to greatest: 1.05, 0.95, 0.75, 1.01
Answer:
0.75 0.95 1.01 1.05
Step-by-step explanation:
Answer:
0.75,0.95,1.01,1.05
Step-by-step explanation:
Thats in order from smallest to biggest.
Hope this helped! If it did, please give me brainliest! That would help a lot! Thanks! :D
Find the value of (0.6)-(0.5).
Answer:
0.1
Step-by-step explanation:
Answer:
0.1
Step-by-step explanation:
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The length of a rectangle is 4 less than 5 times the width. If the perimeter is 88 cm, find
the length and the width
Answer:
w = 8 so l = 36
Step-by-step explanation:
l = 5w - 4, so P = 88, then 2l + 2w = 88, so 2(5w - 4) + 2w = 88
10w - 8 + 2w = 88, so 12w = 96, so w = 8
if the measures of complementary angles are (2x+3) degrees and x degree
Answer:
43.5
Step-by-step explanation:
43.5*2=87+3=90
-x/2 < 12
Helpp Show me your work tooo
Step-by-step explanation:
-x ÷ 2 < 12
multiply both sides by 2
-x < 24
multiply by -1 , your change the inequality
x > -24
In a city, 25% of the people are poor, 60% are middle class, and 15% are rich. What is the
probability of randomly choosing a rich or poor person from this city?
Answer:
A 40% chance of choosing a poor or rich person
wich expression is equivalent to 2,3/5 divided by 7/9
Answer:
117/35 is equalivent expression
Step-by-step explanation:
2 3/5 divided by 7/9
so you need to make 2 3/5 into a fraction
you do the denominator time the whole number plus the numerator to get 13/5
13/5 / 7/9
when you divided fractions you flip the seccond fraction and multiply to get....
13/5 times 9/7
so you do. 13 times 9 and 5 times 7
you get 117/35