Answer:
C(0.7) = 26
Step-by-step explanation:
Given:
C(x) = 30x + 5
where,
x = gigabytes of data used over the monthly allowance.
1. Find C(0.7) and explain what it means in this situation
C(0.7) means he used 0.7 gigabytes of data over the monthly allowance
Substitute x = 0.7 into the equation to find the monthly cost of the option
C(x) = 30x + 5
C(0.7) = 30(0.7) + 5
= 21 + 5
= 26
C(0.7) = 26
When x = 0.7, his total cost will be 26
4. Find the slope of the line through the points (-6, 4) and (8,-4). m =
Answer: Hope it helps :)
-4
7
Step-by-step explanation:
You have to use the formula y2-y1
x2-x1
So -4-4
8--6
-4-4= -8
8--6= 14 (two negative signs become a positive sign)
You have -8 over 14
If you simplify it's -4/7 or -4
7
Answer:
-4/7
Step-by-step explanation:
The temperature dropped 2°C every hour for 8 hours. What was the total number of degrees the temperature changed in the 8 hours?
Answer: 16 degrees
Step-by-step explanation: degrees will be represented by d
2d*8= 16d
16 degrees
Answer: -14 degrees
Step-by-step explanation:
1
2-2
3-2
4-2
5-2
6-2
7-2
8-2
-------------------
-14 degrees
Which of the following correctly represents the given
data in the problem?
A survey of 80 students found that 24 students both play
in the band and play a sport. But 22 students are not in
band and do not play a sport. There are 48 students in
the band. If being in band is the row variable and playing
sports is the column variable, fill in the labels the table.
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, í = 48
a = 24, b = 48, c = 22, i = 48
Play a
Sport
Do Not
Play a
Sport
Total
a=24, c = 48, e = 22, i = 80
In Band
a
b
c
Not in Band
d
e
f
Total
g
h
i
Answer:34 play sports; 46 don't play sports
Step-by-step explanation:
80 total students
48 in band
24 band and sport
24 band only
22 neither
10 sports only
80-22 = 58 participants
58-48 = 10
24 both + 10 sports only = play 34 sports
80-34 = 46 don't play sports
Answer:
it's D
Step-by-step explanation:
I just answered the question! Get that grade up :)
given the slope of the line and one point that it passes through, represent the equation of the line in point-slope form. then rewrite the equation in slope-intercept form.
(0,5) ; m =3
Answer:
Step-by-step explanation:
y - 5 = 3(x - 0)
y - 5 = 3x - 0
y = 3x + 5
Answer:
Step-by-step explanation:
answer on edmentum
The formula for the volume V of a cylinder is V=pier2h, where r is the radius of the base and h is the height of the cylinder. Solve the formula for h.
Answer:
h = V / πr²
Step-by-step explanation:
V = πr²h
Where,
V = volume of a cylinder
π = π
r = radius of the cylinder
h = height of the cylinder
V = πr²h
Solve for h
V = π × r² × h
Divide both sides by π × r²
h = V / π × r²
h = V / πr²
Height of the cylinder = volume of the cylinder / pie × r²
What is the answer to
-100%+0.58= ?
Answer:
-0.42
Step-by-step explanation:
Answer: -0.42
Step-by-step explanation:
Based on the line of best fit luther can expect the average speed of his pitches to be about _____ miles an hour in a game when he throws 80 pitches and to be 64 miles an hour in a game when he throws about ______ pitches.
Answer:
answer choices?
Step-by-step explanation:
Answer: 51 & 54
Step-by-step explanation:
Based on the line of best fit luther can expect the average speed of his pitches to be about __51___ miles an hour in a game when he throws 80 pitches and to be 64 miles an hour in a game when he throws about ____54__ pitches.
Help please I’m being timed
Match each table to its corresponding explicit formula.
Answer:
see attached
Step-by-step explanation:
The answer is in below picture
Answer:
First table = [tex]f (n)[/tex] = [tex]2[/tex] · [tex](4)^{n-1}[/tex]
Second table = [tex]f (n)[/tex] = [tex]3[/tex] · [tex](2)^{n - 1}[/tex]
Third table = [tex]f (n)[/tex] = [tex]2[/tex] · [tex](6)^{n - 1}[/tex]
I hope this helps you.
HELP ASAPPPPP 5 POINTSSSSS
Answer:450
Step-by-step explanation:
first subctract then add
Answer:
The answer is C. The vertex is (-1,-12)
Step-by-step explanation:
please help with math problem !! (explanation needed) -3 + (8 – 2x)4 = 29
Answer:
x = -4
Step-by-step explanation:
To solve this type of question, put the term with the exponent on one side and the numerical term on the other side
∵ -3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29
→ Add 3 to both sides
∵ -3 + 3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29 + 3
∴ [tex](8-2x)^{\frac{5}{4}}[/tex] = 32
→ Remember is [tex]x^{\frac{m}{n}}[/tex] = a, then x = [tex]a^{\frac{n}{m}}[/tex], that means to move the exponent
from one side to the other side reciprocal it
∴ 8 - 2x = [tex](32)^{\frac{4}{5}}[/tex]
→ Use your calculator to find the value of [tex](32)^{\frac{4}{5}}[/tex]
∵ [tex](32)^{\frac{4}{5}}[/tex] = 16
∴ 8 - 2x = 16
→ Subtract 8 from both sides
∴ 8 - 8 - 2x = 16 - 8
∴ -2x = 8
→ Divide both sides by -2
∴ x = -4
To check the solution substitute x by -4 in the left side and find its answer if it equals the right side, then the solution is right
∵ Left side ⇒ -3 + (8 - 2 × -4)[tex]^{\frac{5}{4}}[/tex] = -3 + (8 + 8)[tex]^{\frac{5}{4}}[/tex] =-3 + (16)[tex]^{\frac{5}{4}}[/tex] = -3 + 32 = 29
∵ Right side = 29
∴ The solution is right
At a sale, coats were sold for $118 each. If the coats originally cost $200 each, what percentage of its original price was a coat sold for?
rAnswer:
Step-by-step explanation:
20$
Help me complete this table please
Answer:
x -6 3 15 -12
y 11 5 -3 15
Step-by-step explanation:
Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.
Given function is,
[tex]y = -\frac{2}{3}x +7[/tex]
If Domain (input values) of this function is,
{-12, -6, 3, 15}
Table for the input-output values of this function,
x -6 3 15 -12
y 11 5 -3 15
The cost of buying our Stats book online is represented by the 8 sample purchases (in dollars) below: 67.99 78.99 68.99 84.36 80.24 86 101.25 99.29 3. If I bought a book for both me and a friend, what's the chance that I would pay, on average, under $70 per book?
Answer:
2/8
Step-by-step explanation:
Cost of book 8 sample purchases (in ascending order) : 67.99, 68.99, 78.99, 80.24, 84.36, 86, 99.29, 101.25
Chance (Probability) of paying under $70 = Favourable outcomes (<70)
Total outcomes
= 2/8
Find the unit rate: $7.40 for 5 pounds
Answer:
Step-by-step explanation:
7.40 for 5 pounds
7.40/5= 1.48 a pound
10 points!!!
Evaluate. 5 + |1 - 4| (3 - 6)^2 /3
A. 6
B. 11
C. 14
D. 24
Answer:
The answer from using a graphing calculator would be B because I had gotten 11.24025147 and that would round up to 11
Step-by-step explanation:
I would suggest that you use your graphing calculator for this or calculator.
Find the theoretical probability.
Simplify completely.
Answer:
3/8
Step-by-step explanation:
Favorable outcome is 3
Total outcome is 8
P(1, 2, or 3) = [tex]\frac{3}{8}[/tex]
The theoretical probability is 0.375
We have given that, a diagram of the circle.
We have to find the theoretical probability and simplify the probability.
What is the formula for probability?Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.
The favorable outcome is 3.
The total outcome is 8
P(1, 2, or 3) = 3/8
The theoretical probability is 0.375
To learn more about theoretical probability visit:
https://brainly.com/question/8652467
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there are 90 dogs and 60 casts at the east dallas animal shelter. of these animals, 9 dogs and 3 cats have parvovirus. what percentage of the animals in the shelter have parvovirus.
Answer:
8%
Step-by-step explanation:
12/250=0.08
0.08=8%
Answer:
8%
Step-by-step explanation:
justin and his friends dan went to the movies if they each bought popcorn for $4.25 and soda for $2.25 what was their total bill after adding 5% of sales tax
Answer:
Step-by-step explanation:
4.25+2.25=6.50 per person
6.50*2 people= 13.00
13.00*5% tax=0.65 tax
13.00+.65= 13.65
Answer:
Step-by-step explanation:
4.25 x 2 + 2.25 x 2 = 13
Convert 5% into a decimal ( 0.05)
0.05 x 13 = 0.65
0.65 + 13 equals 13.65
F a seed is planted, it has a 75% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that exactly 2 don't grow?
Answer:
0.3
Step-by-step explanation:
Given that:
Probability of growing into a healthy plant = probability of success (p) = 75% = 0.75
Number of seeds planted(n) = 9
Probability that exactly 2 don't grow is equivalent to having 7 that grows (9 - 2) = 7 = r
Using binomial distribution formula :
nCr * p^r * (1 - p)^(n-r)
9C7 * 0.75^7 * (1 - 0.75)^(9 - 7)
9C7 * 0.75^7 * 0.25^2
36 * 0.13348 * 0.0625
= 0.3003387
= 0.3
Hence, probability that exactly 2 don't grow is 0.3
Round 90.2844097979 to 3 decimal places.
Answer:
It would be 90.284.
Step-by-step explanation:
if f(x) = 3x-1 and g(x)= x+2 find (f-g)(x)
Answer:
2x-3
Step-by-step explanation:
f(x) = 3x-1
g(x) = x+2
Find (f-g)(x), this means we need to subtract g from x.
(3x-1) - (x+2)
Subtract the like terms:
3x -x = 2x
-1 -2 = -3
Combine them to get 2x-3
The GCF, greatest common factor, for 35 and 70 is:
O No answer text provided.
O No answer text provided.
O 5
O 35
O 70
o
None of the above
Answer: 35
Step-by-step explanation:
Which equation represents a line that passes through the point (6,-3) and is parallel to the graph y=3x+1
Answer:
y = 3x + 6
Step-by-step explanation:
To make the equation we'll use the form y = mx + b, where m is the slope and b is the y-intercept. When a line is parallel to another, both lines have the same slope, so the slope of the equation will be 3. Now that we know the slope, we can input the point (6, -3) into the equation to solve for the y-intercept:
y = mx + b
y = 3x + b
-3 = 3(-3) + b
-3 = -9 + b
Add 9 to both sides to isolate the b:
-3 + 9 = -9 + 9 + b
6 = b
The y-intercept is 6. Let's put that into our equation:
y = 3x + 6
Now we have our answer :)
Are the two triangles below similar? (1 point)
01) Yes; they have congruent corresponding angles
0 2) No; they do not have congruent corresponding angles
3) Yes; they have proportional corresponding sides
04) No; they do not have proportional corresponding sides
Answer:
Yes they jave proportional corresponding sides
A team of runners is needed to run a 1/4 mile relay race . If each runner must run 1/16
mile. How many runners do they need to run the race?
Answer:
4 runners
Step-by-step explanation:
What is the value of 1/2x^3+3.4y when x=4 and y=2 PLZ HELP. WILL GIVE BRAINLIEST TO RIGHT ANSWER
Answer:
the answer is= 38.8
Step-by-step explanation:
Answer:
what does the dot mean? so far without the .4y I got 9
Step-by-step explanation:
how do I get the answer for this quadratic equation in simplest form?
[tex]4( x - 7)^2 - 48 = 12[/tex]
Answer:
x = 7 ± [tex]\sqrt{15}[/tex]
Step-by-step explanation:
Given
4(x - 7)² - 48 = 12 ( add 48 to both sides )
4(x - 7)² = 60 ( divide both sides by 4 )
(x - 7)² = 15 ( take the square root of both sides )
x - 7 = ± [tex]\sqrt{15}[/tex] ( add 7 to both sides )
x = 7 ± [tex]\sqrt{15}[/tex]
7. The bottom of a river makes a V-shape that can be modeled with the absolute value function,
d(h) = 1/6 |h – 300| - 50 where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbor master and you want to place buoys where the river bottom is 20 feet below the surface. If one buoy is to be placed 120 feet away from the left shore, how far should the second buoy be placed form the left shore?
(Note: A buoy is an anchored float serving as navigation mark, to show reefs or other hazards to guide ships.)
Answer:
If one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480
Step-by-step explanation:
Given that:
The absolute value function:
[tex]d(h) = \dfrac{1}{6}|h - 300| - 50[/tex]
To calculate the position of the buoy where the river bottom is 20 feet below the surface, we equate the absolute value function to the negative value of 20 feet and then solve it for h.
d(h) = -20
[tex]d(h) = \dfrac{1}{6}|h - 300| - 50 = -20[/tex]
Let us add the sum of 50 on both sides, then:
[tex]= \dfrac{1}{6}|h - 300| - 50+50 = -20+50[/tex]
[tex]= \dfrac{1}{6}|h - 300| = 30[/tex]
By multiplying 6 on both sides, we have:
|h - 300| = 30 (6)
|h - 300| = 180
We can attempt the above expression by rewriting it as two equations:
h - 300 = 180 or h - 300 = - 180
Let us add 300 to both sides from the two expressions above:
h - 300 + 300 = 180 + 300 or h - 300 + 300 = -180 + 300
h = 480 or h = 120
Thus, if one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480
[tex]\mathbf{d(h) = \frac 16|h - 300| - 50}[/tex] is an illustration of an absolute function.
The buoy should be placed at 480 feet from the left shore
The function is given as:
[tex]\mathbf{d(h) = \frac 16|h - 300| - 50}[/tex]
To place a buoy at 20 feet below, means d(h) = -20
So, we have:
[tex]\mathbf{-20 = \frac 16|h - 300| - 50}[/tex]
Add 50 to both sides
[tex]\mathbf{30 = \frac 16|h - 300|}[/tex]
Multiply both sides by 6
[tex]\mathbf{180 = |h - 300|}[/tex]
Remove absolute bracket
[tex]\mathbf{h - 300 = -180}\ or\ \mathbf{h - 300 = 180}[/tex]
Make h the subject
[tex]\mathbf{h = 300-180}\ or\ \mathbf{h = 300+180}[/tex]
[tex]\mathbf{h = 120}\ or\ \mathbf{h = 480}[/tex]
This means that, the buoy should be placed at 480 feet from the left shore
Read more about absolute functions at:
https://brainly.com/question/1389494
Simplify: 3(4x-5) - (3x+2)
Answer:
Step-by-step explanation:
3(4x-5)-3x+2 work the ()
12x-15-3x+2 combine like terms
9x-13