Answer:
y=-2x+7
Step-by-step explanation:
Memorize the formula y=mx+b where m=slope and b=y-intercept.
y=-2x+b passes through the point (1, 5)
5=-2(1)+b
5=-2+b
b=5-(-2)=5+2=7
So the y-intercept in this case is 7.
y=-2x+7
sveltanas hair is 4 cm long her hair grows 1.5cm per month she wants her hair to be at least 16cm long
Answer:
8 months
Step-by-step explanation:
The question asks for the minimum number of months it would take her to grow her hair ATLEAST 16 cm.
Lets solve this!
Her hair is ALREADY 4 cm
She needs to make it 16 cm or greater
That is:
16 - 4 = 12 cm MORE
Per month growth rate = 1.5 cm
So we will divide the amount she needs to grow (atleast) by the growth rate per month:
12/1.5
= 8
Thus, in 8 months, her hair will grow:
8 * 1.5 = 12 cm
and 4 cm from before, so
12 + 4 = 16 cm
So, it will take a minimum of 8 months
When a window is open, the temperature in a room falls 5°F every 15 minutes. Before the window is opened, the temperature was 70°F . Pls Help Me! Will mark Brainliest
Use the Ray tool to make a graph that shows the temperature of the room, T, after the window has been open for m minutes.
Answer:
See attached graph
Step-by-step explanation:
Let m be the number of minutes passed and T be the temperature (in F°)
Before the window is opened, the temperature was 70°F, then at m = 0 minutes, T = 70°F
When a window is open, the temperature in a room falls 5°F every 15 minutes. This means
at m = 15, T = 70°F - 5°F = 65°F
at m = 30, T = 70°F - 10°F = 60°F
at m = 45, T = 70°F - 15°F = 55°F
and so on.
Plot points (0,70), (15,65), (30, 60), (45, 55) and connect them with a straight line. This is the graph that shows the temperature of the room, T, after the window has been open for m minutes.
Which of the following correlation coefficients would correspond to a strong linear relationship in a data set?
A. 0
B. 0.5
C. 0.9
D. 100
Answer:
The correct answer is C.
Final answer:
The correlation coefficient of 0.9 indicates the strongest linear relationship among the provided options, and the weakest relationship is indicated when the coefficient is closest to 0.
Explanation:
The correlation coefficient that corresponds to a strong linear relationship in a data set is typically close to either -1 or +1. Based on the given options, the correlation coefficient of 0.9 (Option C) would indicate the strongest linear relationship, suggesting a very strong positive linear relationship between the two variables. Correlation coefficients close to 0 indicate weak relationships, and a value of exactly 0 implies no linear relationship at all. A perfect positive linear relationship has a correlation coefficient of +1, whereas a perfect negative linear relationship has a correlation coefficient of -1. Therefore, even negative coefficients such as -0.90 can also indicate a strong, but negative, linear relationship.
Hence, for the second part (Q4), the weakest relationship would be when the correlation coefficient is closest to 0 (Option A).
One number is four times another number. The sum of their reciprocals is 1/4 . What are the numbers?
No, the numbers are not 4/5 and 16/5
Answer:
x=2, y=8
Step-by-step explanation:
Set up the equations:
4x=y
1/4x+1/y=1/4
---------------------
1/y+1/y=1/4
2/y=1/4
cross product
y*1=2*4
y=8
4x=8
x=8/4=2
The required numbers are given as 5 and 20, as of the given conditions.
Given that,
One number is four times another number. The sum of their reciprocals is 1/4.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Let the number be x,
According to the question,
y = 4x - - - - -{1}
and
1 / y + 1/ x = 1/4
1 / 4x + 1/x = 1/4
x = 5
Now,
y = 4 [5] = 20
Thus, the required numbers are given as 5 and 20, as of the given conditions.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Thomas rents a car for his vacation. the mileage included with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?
Answer:
Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Mileage included with the rental = 54 miles
Additional mile over 54 miles = US$ 1 4/5
Distance finally driven by Thomas = 69 miles
2. Let's calculate how much additional money Thomas needs to pay.
Extra miles driven by Thomas = Distance finally driven - Mileage included
Extra miles driven by Thomas = 69 - 54
Extra miles driven by Thomas = 15
Cost of the additional miles = 15 * 1 4/5
Cost of the additional miles = 15 * 1.80 ⇒ 4/5 = 0.80
Cost of the additional miles = 27
Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.
The circumference of a circle is 113 pi. What is the radius?
Answer:
R=18 (17.98)
Step-by-step explanation:
Since c=dπ
113=dπ
SOlve for d
113=dπ
/π /π
36=d (35.96)
Divide by 2, since the radius is the half of diameter
r=18 (17.98)
5 divide 3/4 in simplest
Answer:
20/3
Step-by-step explanation:
5/(3/4)=(5/1)(4/3)=20/3
A long-distance telephone company charges a rate of 8 cents per minute or a 50-cent minimum charge per completed call, whichever is greater. Find the cost, in cents per minute, for a 3-minute call.
Answer:
Cost of a 3 minute call is 50 cents at a rate of 16.67 cents per minute.
Step-by-step explanation:
We are given the following in the question:
Plan A
A rate of 8 cents per minute.
Plan B
A 50-cent minimum charge per completed call.
We have to find the cost, in cents per minute, for a 3-minute call.
Cost according to plan A:
[tex]\text{Cost per minute}\times \text{Call length in minutes}\\= 8 \times 3\\=24 \text{cents}[/tex]
Cost according to plan B:
50 cents for a 3 minute call
Rate =
[tex]\displaystyle\frac{\text{Total cost}}{\text{Duration of call}} = \frac{50}{3} = 16.67 \text{ cents per minute}[/tex]
The company chooses the plan with greater cost, thus, it chooses plan B.
Thus, cost of a 3 minute call is 50 cents at a rate of 16.67 cents per minute.
「14+ (-4) +6+(-16) = _
Answer:
0
Step-by-step explanation:
14+ (-4) +6+(-16) = _
10+6+(-16) =
16+(-16) = 0
Answer:
0
Step-by-step explanation:
14 + (-4) + 6 + (-16) =
10 + 6 + (-16) =
16 + (-16) =
0
Evaluate the expression. 8 x 7 - 12 ÷ 6 please anwser fast
Answer:
54
Step-by-step explanation:
8*7-12/6=56-2=54
Answer:
56-2=54
Step-by-step explanation:
8×7 - 12÷6 =56 - 2= 54
Roy buys a coat for $86.40 which includes An 8% sales tax which equation could you use to find the cost of the coat, c, without the Sales tax
Answer:
86.40 = c + 0.08 c is the equation which can be used to find the cost of the coat, c, without the Sales tax
Step-by-step explanation:
Let us assume the cost of the coat = c
Selling price of coat = $86.40
The sale tax on the coat = 8%
⇒ The sale tax = 8% of c
Calculating the sales tax, we get:
[tex]\frac{8}{100} \times = 0.08 c[/tex]
or, the sales tax amount on the cost price of coat = 0.08 c
Now, the Sales Price of coat =Cost Price of Coat + sales Tax Amount
⇒ $86.40 = c + 0.08 c
Hence, 86.40 = c + 0.08 c is the equation which can be used to find the cost of the coat, c, without the Sales tax.
A bag contains 13 pieces of candy. In how many ways can five pieces be selected?
Five pieces can be selected in 1287 ways
Step-by-step explanation:
When the selection has to be made without considering the order of selection, combinations are used.
The formula for combination is:
[tex]C(n,r) = \frac{n!}{r!(n-r)!}[/tex]
Here
Total candies = n = 13
Candies to be selected = r = 5
Putting the values in the formula
[tex]C(13,5) = \frac{13!}{5!(13-5)!}\\=\frac{13!}{5!8!}\\=1287\ ways[/tex]
Five pieces can be selected in 1287 ways
Keywords: Combinations, selection
Learn more about combinations at:
brainly.com/question/11203617brainly.com/question/11253316#LearnwithBrainly
There are 1,287 ways to select five pieces of candy from a bag of 13.
Explanation:To find the number of ways to select five pieces of candy from a bag of 13, we can use the concept of combinations.
The formula for combinations is C(n, r) = n! / (r!(n-r)!),
where n is the total number of items and r is the number of items to be selected.
Substituting the values, we get C(13, 5) = 13! / (5!(13-5)!).
Simplifying this expression, we find that there are 1,287 ways to select five pieces of candy from the bag.
Learn more about Combinations here:https://brainly.com/question/30646507
#SPJ11
Three consecutive integers have a sum of 132
Answer:
43+44+45
Step-by-step explanation:
X + X + 1 + X + 2 = 132
3X + 3 = 132
3X + 3 - 3 = 132 - 3
3X = 129
3X/3 = 129/3
X = 43
consecutive means numbers after
0.03542 as a percent
Answer:
3.542 or 3/271/500
Step-by-step explanation:
0.03542×100
= 1771/50000 ×100
=1771/500
=3.542 or 3/271/500
Simplify the expressions:
2(3a+1)-5a
Answer:
6a+2-5a
ascending
2+a
descending
a+2
Is 312 evenly divisible by 3?
Answer:
Yes
Step-by-step explanation:
312/3=104
Solve for x in the following situation. Show your work.
11x-4/50=70/60
Answer:
x=17/150
Step-by-step explanation:
11x-4/50=70/60
11x-2/25=7/6
11x=7/6+2/25
11x=187/150
x=(187/150)/11
x=(187/150)(1/11)
x=187/1650
simplify,
x=17/150
Answer:
x=17/150
Step-by-step explanation:
Mr. lee drive 8 miles from his house to Parkside Parkside is 4 miles south of Springfield from Parkside he drove 3 miles to Springdale then he drove 20 miles from Springdale to Brookville how far did Mr. Lee Drive in all
Mr Lee drive 31 miles from his house to Brookville
Solution:Given that
Mr. Lee drove 8 miles from his house to park side .
Parkside is 4 miles south of springfield.
From Parkside he drove 3 miles to springdale
Then he drove 20 miles from springdale to brookville.
Need to determine how far Mr Lee drive in all, from his house to Brookville.
Complete drive of Mr Lee from his house to Brookville is equal to 8 miles from his house to park side then 3 miles from Parkside to springdale , then 20 miles from springdale to brookville.
=> Complete drive of Mr Lee from his house to Brookville in miles = 8 + 3 + 20 = 31 miles
What is the minimum cuts
needed to cut a circle into 8
equal parts?
What is the minimum cuts needed to cut a circle into 8 equal parts ?
A : 4 cuts
Answer:
4 cuts.Step-by-step explanation:
When we have a circle, each cut (supposing the curst are in the exact middle) which give use two haves. So, if we cut one time, we'll have two equal parts, if we cut a second time, we'll have 4 equal parts, a third time, we'll get us 6 equal parts, and if we cut a fourth time, we'll have 8 equal parts.
So, whenever we have this kind of problem dividing circles, we just say that each cut in the exact middle equals two equal haves, so if we have 4 cuts, we just multiply them by 2, 4(2)=8. Therefore, we have 8 equal parts.
need help solving with working much appreciated
Answer:
i. g = 70°
ii. x = 85°
Step-by-step explanation:
Given:
Let first we name the triangle
i. ) Δ PQR , m∠ PRQ = 40°
ii. ) Δ ABC is a right angle at B and a line B- D-C
m∠ DAC = 25°
m∠ ACD = 60°
m∠ BDA = x°
To Find:
i. g = ?
ii. x = ?
Solution:
i.
In Δ PQR , PR ≅ QR ...........{Given]
∴ Δ PQR is an Isosceles Triangle.
c.........{ Base angles of Isosceles triangle are equal }
∴ m∠ PQR = m∠ RPQ = g
Now sum of all the angles in a triangle is 180°
∴ m∠ PQR + m∠ RPQ + m∠ PRQ = 180°....{Angle sum property of Triangle}
[tex]g + g + 40 = 180\\2g=180-40\\2g=140\\g=\frac{140}{2} \\g=70\°[/tex]
∴ g = 70°
ii.
We know sum of all the angles in a triangle is 180°
In Δ DAC
m∠ DAC + m∠ ACD + m∠ ADC = 180°.....{Angle sum property of Triangle}
[tex]25+60+ \angle ADC = 180\\[/tex]
[tex]\angle ADC = 180-85\\\angle ADC =95\\[/tex]
Now By Linear Pair Angle Property
m∠ ADB + m∠ ADC = 180° ........{Linear Pair Angle Property}
[tex]x+95=180\\x=180-95\\x=85[/tex]
∴ x = 85°
Solve the inequality. Graph the solution.
6n < 90
Answer:
[tex]\displaystyle 15 > n[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{6n}{6} < \frac{90}{6} → n < 15[/tex]
Whenever you divide\multiply by a negative, you reverse the inequality symbol.
** The above answer is written in reverse, which is the exact same result.
≥, ≤ → Solid Circle [●]
>, < → Blank Circle [○]
I am joyous to assist you anytime.
How is the number 6.24 x 10^-4 expressed in regular numbers?
Answer:
The scientific notation, 6.24 x 10^-4, means that the 6.24 is multiplied to 10 which is raised to exponent -4. 10^-4 has a regular number value of 0.0001. So, to find the answer you should multiply 6.24 by 0.0001 which gives an answer of 0.000624.20
Step-by-step explanation:
Sandria earned $24 babysitting. She owes her friend $7 for dinner, and she owes her mom $4. She will make $15 later this week for mowing the yard.
How much money will she have at the end of the week?
Answer:
28
Step-by-step explanation:
24-7-4=13
13+15=28
Name the only type of polygon that must be regular if it is equiangular?
an equiangular polygon is a polygon whose vertex angles are equal. If the lengths of the sides are also equal (that is, if it is also equilateral) then it is a regular polygon
The only type of polygon that must be regular if it is equiangular is a regular polygon.
Here, we have,
we know that,
A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.
an equiangular polygon is a polygon whose vertex angles are equal.
If the lengths of the sides are also equal (that is, if it is also equilateral) then it is a regular polygon.
Hence, The only type of polygon that must be regular if it is equiangular is a regular polygon.
To learn more on polygon click:
brainly.com/question/24464711
#SPJ2
slope intercept form slope:⅖ y-intercept:-2
Answer:
y= ⅖x - 2
Step-by-step explanation:
Formula: y = mx + b (m is the slope and b is the y intercept)
Info given:
m= 2/5
b= -2
Plug the info given into the formula, you get (2/5)x -2
Suppose the x-axis of a density graph represents someone's height in inches.
If the area under the density curve from 60 inches to 70 inches is 0.55, what
is the probability of someone's height being anywhere from 60 inches to 70
inches?
A.70%
B.55%
C.65%
D.60%
6[4x(72-36) divided by 3
Simplify (-8)(-2) + 11
Answer:
27
Step-by-step explanation:
-8 * -2 = 16
16 + 11 = 27
62 is 50% of what number?
Answer:
62 is 50% of 31
Step-by-step explanation:
For example: 50% of 62 = 31; Example 2: Calculate a percentage based on 2 numbers. For example: 31/62 = 50%
Answer:
31
To calculate a percentage of some number, change the percentage into a decimal, and the word "of" into multiplication
What is the answer:
19 7/5-6 1/3- 5 5/6
Answer:
247/30
Step-by-step explanation:
19 7/5-6 1/3-5 5/6
19 7/5=102/5
6 1/3=19/3
5 5/6=35/6
----------------------
102/5-19/3-35/6
612/30-190/30-175/30=247/30
Answer:
8 7/30
Step-by-step explanation: