Answers
Answer:
Slope is 2.
Step-by-step explanation:
So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:
Step 1 - [tex]x_2-x_1=change_.in_.x[/tex]
Step 2 - [tex]y_2-y_1=Change_.in_.y[/tex]
Step 3 - [tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]
So lets start by doing step one.
All we need is to look for two x values. Lets use 5 and 6:
6-5=1
So 1 is our change of x. This is our 1st step.
Next we can use 2 y values, note that these should be the 2 y values that go wiht the x values above. So this means we have to use -3 and -1:
-1-(-3) = 2
So 2 is our change in y. This is our 2nd step.
Now lets plug this into:
[tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]:
[tex]\frac{2}{1} = 2[/tex]
So our slope is 2. Completing our 3rd and final step.
Hope this helps!
Related Questions
Write an equation for the following problem,
"Ross decides to go ice skating with his friends.
The rink charges $8 to rent skates and $7.50 for
each hour. Write an equation to find the total
cost (C) if he skates for 3 hours.?"
Answers
Answer:
c= $8 +($7.50×3)
Step-by-step explanation:
Given the function f(x) = 0.5|x - 4| + 6, for what values of x is f(x) = 7
Answers
Answer:
6 or 2
Step-by-step explanation:
f(x) = 0.5|x - 4| + 6
0.5|x - 4| + 6 = 7
0.5|x - 4| = 7-6
0.5|x - 4| = 1
|x - 4| = 2
x -4 = ± 2
x-4 = 2 ==> x = 6
x-4 = -2 => x = 2
so the value of x = 6 or 2
Which of the following are mathematical sentences? Check all that apply.
MULTIPLE CHOICE
A. 4 - d = 8
B. 4 - v
C. 3 + 2 = 5
D. 6
E. 5g
F. 1 < 2
Answers
Answer:
option A, C, D and F are mathematical sentences.
anyone could help a little?
Answers
9514 1404 393
Answer:
a) 100
b) 15 miles
Step-by-step explanation:
Each small square on the graph represents 1 person.
a) To the right of distance = 30 miles, there are 4 groups of 25 small squares, so 100 people travel 30+ miles.
__
b) To the right of distance = 15, there are (11 +6×5)×5 = 205 small squares. That is 205 people travel more than 15 miles to work. Sam may travel about 15 miles to work.
I need help with this math problem please
Answers
Answer:
C) 3(x+7)²
Step-by-step explanation:
Answer:
A) (3x + 21)(x + 7)
Step-by-step explanation:
If we look at the equation we can see that it is a quadratic equation, therefore we can factor it in the following way...
[tex]3x^{2} + 42x + 147 = 3x^{2} + 21x + 21x + 147 = 3x(x + 7) + 21(x + 7) = (3x + 21)(x + 7)[/tex]
Therefore the answer is A)
Geometry. BD is tangent to circle O at C, mAEC=280, and mACE=80. Find mDCE.(The figure is not drawn to scale.)
A. 100
B. 50
C. 120
D. 60
Answers
While visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every
T = 6.2 seconds.Randomized VariablesT = 6.2 seconds(a) Calculate the frequency of oscillation (in Hertz) of the chandelier.(b) Calculate the angular frequency ω of the chandelier in radians/second.
(c) Determine the length L in meters of the chandelier. sig.gif?
(d) That evening, while hanging out in J.J. Thompson’s House O’ Blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the Michelson exhibit except this one swings back and forth 0.11 seconds slower, so the period is T + 0.11 seconds. Determine the acceleration due to gravity in m/s2 at the club.
Answers
Answer:
a) [tex]F=0.16Hz[/tex]
b) [tex]\omega=1rad/s[/tex]
c) [tex]L=9.54m[/tex]
d) [tex]g=9.46m/s^2[/tex]
Step-by-step explanation:
From the question we are told that:
Time [tex]T =6.2[/tex]
a)
Generally the equation for Frequency F is mathematically given by:
[tex]F=\frac{1}{T}[/tex]
[tex]F=\frac{1}{6.2}[/tex]
[tex]F=0.16Hz[/tex]
b)
Generally the equation for Frequency F is mathematically given by:
[tex]\omega=2\pi f[/tex]
[tex]\omega=2*314* 0.16[/tex]
[tex]\omega=1rad/s[/tex]
c)
Generally the equation for Length of Chandelier L is mathematically given by:
Since
[tex]T=2*3.142\sqrt{\frac{L}{g}}[/tex]
Therefore
[tex]L=\frac{gT^2}{4 \pi^2}[/tex]
[tex]L=\frac{9.8*(6.2)^2}{4 \pi^2}[/tex]
[tex]L=9.54m[/tex]
d)
Since
Michelson exhibit except this one swings back and forth 0.11 seconds slower
Therefore
[tex]T'=T+0.11[/tex]
[tex]T'=6.31[/tex]
Generally the equation for acceleration due to gravity g is mathematically given by:
[tex]g = \frac{4\pi ^2L}{( T')}^2[/tex]
[tex]g = \frac{4\pi ^2L\*9.54}{( 6.31 s )}^2[/tex]
[tex]g=9.46m/s^2[/tex]
Simplify the expression:
10+10v–10+10v
Answers
Answer:
20v
Step-by-step explanation:
answer
20 v. hope helpful answer. 10+10v-10+10 =20
A tree with a height of 8 ft casts a shadow 14 feet long on the ground. How high is another tree that casts a shadow which is 21 feet long?
Answers
Answer:
12
Step-by-step explanation:
Do 8 divided by 14 =0.571428571
times that by 21 = 12
10 ft
8 ft
Find the perimeter of this figure to
the nearest hundredth. Use 3.14 to
approximate a.
P = [?] ft
Answers
9514 1404 393
Answer:
40.56 ft
Step-by-step explanation:
The length of the semicircle of diameter 8 ft is ...
(1/2)(π)(d) = (π/2)(8 ft) = 4π ft ≈ 4×3.14 ft = 12.56 ft
Then the sum of the lengths of all of the sides of the figure is ...
P = 10 ft + 8 ft + 10 ft + 12.56 ft = 40.56 ft
The perimeter of the figure is about 40.56 ft.
A bakery offers a sale price of $2.80 for 6 muffins. What is the price per dozen?
The price per dozen muffins is
Answers
Answer:
$5.60 or 5.52
Step-by-step explanation:
Step one multiply 2 to 2.80 (Since 6 muffins cost $2.80, a dozen should be 6 times 2. Because a dozen is 12, so half of a dozen is 6, and multiply half by 2 and, you will get the answer.)
[tex]2 \times 2.80 = 5.60[/tex]
Are 1/3 and 3/6 equal equivalent fractions?
Answers
which of the following demonstrates how to factor x^2-y^2?
2(x-y)
(x-y)(x+y)
(x+y)(x+y)
(x-y)^2
Answers
Answer:
[tex] {x}^{2} - {y}^{2} [/tex]
difference of two squares:
[tex](x + y)(x - y)[/tex]
Which conversions from scientific notation to standard notation are true? Select the four correct answers
Answers
The options are missing, so i have attached them.
Answer:
options B, E, G & H are correct.
Step-by-step explanation:
A) We are given;
1.71 × 10³ = 0.00171
For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point to the right of 1.71 three times because the exponent is 3.
Thus, the proper conversion is;
1.71 × 10³ = 1710
B) We are given;
8.05 × 10^(5) = 805000
For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point five times to the right of 8.05 because the exponent is 5.
Thus, the proper conversion is;
8.05 × 10^(5) = 805000
C) We are given;
2.4 × 10⁴ = -24000
For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point four times to the right of 2.4 because the exponent is 4.
Thus, the proper conversion is;
2.4 × 10⁴ = 24000
D) We are given;
8.25 × 10^(-3) = -8250
For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point three times to the left of 8.25 because the exponent is -3.
Thus, the proper conversion is;
8.25 × 10^(-3) = 0.00825
E) We are given;
7.09 × 10^(-6) = 0.00000709
For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point six times to the left of 7.09 because the exponent is -6.
Thus, the proper conversion is;
7.09 × 10^(-6) = 0.00000709
F) We are given;
3.99 × 10^(5) = 300,099
For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point five times to the right of 3.99 because the exponent is 5.
Thus, the proper conversion is;
3.99 × 10^(5) = 399,000
G)We are given;
8 × 10^(7) = 80,000,000
For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point seven times to the right of 8 because the exponent is 7.
Thus, the proper conversion is;
8 × 10^(7) = 80,000,000
H) We are given;
1.03 × 10^(-4) = 0.000103
For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point four times to the left of 1.03 because the exponent is -4.
Thus, the proper conversion is;
1.03 × 10^(-4) = 0.000103
Looking at all the options as well as the proof I got, only options B, E, G & H are correct.
We need a butterfly garden with a perimeter of 16 feet and an area of 16 square feet.
Answers
The number of adults at an amusement park, measured in hundreds of people, is represented by the function a(w)=−0.4w^2+5w+9, where w is the number of weeks since the amusement park opened for the season.
The number of children at the same amusement park, measured in hundreds of people, is represented by the function c(w)=−0.2w^2+9w+12, where w is the number of weeks since the amusement park opened for the season.
What function, f(w) , can be used to determine how many more children than adults are at the amusement park any week during the season?
Answers
Answer:
0.2w^2+4w+3
Step-by-step explanation:
a(w)=−0.4w^2+5w+9
c(w)=−0.2w^2+9w+12
We want to find the how many more children than adults
f(w) = c(w) - a(w)
= −0.2w^2+9w+12 - ( −0.4w^2+5w+9)
Distribute the minus sign
= −0.2w^2+9w+12 +0.4w^2-5w-9
Combine like terms
= 0.2w^2+4w+3
An electronics firm claims that the proportion of defective units of a certain process is 5%. A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot. On a particular occasion, the bury found 5 items defective. a) What is the probability of this occurrence, given that the claim of 5% defective is correct
Answers
Answer:
0.0006 = 0.06% probability of this occurrence
Step-by-step explanation:
For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An electronics firm claims that the proportion of defective units of a certain process is 5%.
This means that [tex]p = 0.05[/tex]
A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.
This means that [tex]n = 15[/tex]
a) What is the probability of this occurrence?
Probability of 5 defective items, whch is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006[/tex]
0.0006 = 0.06% probability of this occurrence
Find out the possible two numbers that satisfied all the given conditions. The LCM of two numbers is 130.• The HCF of the same two numbers is 13. • Both numbers are less than 100. Write down two possible numbers.
Answers
Answer:
1020100101/1
Step-by-step explanation:
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A manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent. Suppose the amount of solvent in each drum is normally distributed with a mean of 101.8 pounds and a standard deviation of 3.76 pounds. a) What is the probability that a drum meets the guarantee
Answers
Answer:
0.6844 = 68.44% probability that a drum meets the guarantee.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 101.8 pounds and a standard deviation of 3.76 pounds.
This means that [tex]\mu = 101.8, \sigma = 3.76[/tex]
What is the probability that a drum meets the guarantee?
Probability of at least 100 lbs of solvent, which is 1 subtracted by the p-value of Z when X = 100. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{100 - 101.8}{3.76}[/tex]
[tex]Z = -0.48[/tex]
[tex]Z = -0.48[/tex] has a p-value of 0.3156.
1 - 0.3156 = 0.6844
0.6844 = 68.44% probability that a drum meets the guarantee.
What is 7% of 300 pounds
Answers
Answer:
21
Step-by-step explanation:
Of means multiply
7% * 300
Change to decimal form
.07 * 300
21
The ______ are (is) used to determine the amount of money that an organization would save if it used a particular test in place of the test it currently uses to select employees.
Answers
Answer:
The correct answer is the "Brogden-Cronbach-Gleser formula".
Step-by-step explanation:
Brogden introduced the BCG approach towards the conclusion of the nineteenth century as well as developed it considerably mostly throughout a 1965 guidebook by Cronbach as well as Gleser.This model was used to determine the monetary value of another profit derived from either the usage of the content or the selection criterion beneath defined parameters.2. On this spinner, the pointer is spun once. The colour is recorded.
The pointer is spun a second time. The colour is recorded.
a) Suppose you win if you spin the same colour on both spins.
What are your chances of winning?
b) Suppose you win if you spin two different colours.
What are your chances of winning?
Answers
Answer:
A=25% B=75%
Step-by-step explanation:
So first lets make a sample space. (Im using red, blue, green, and yellow)
rr, rb, rg, ry
br, bb, bg, by
gr, gb, gg, gy
yr, yb, yg, yy
So for A its 4/16 or 1/4=25%
For B its 12/16=3/4=75%
Mike is building a model of a classic car: a '67 Chevy Impala. The scale is 1 in : 48 in. The actual length of the car is 213.2 inches. How long will the model be? Round to the nearest tenth.
Answers
math
A hemispherical tank is filled with water and has a diameter of 4 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answers
9514 1404 393
Answer:
1046 pounds
Step-by-step explanation:
The volume of the hemisphere is given by the formula ...
V = 2/3πr³
where r is the radius, or half the diameter.
The radius is (4 ft)/2 = 2 ft, so the volume of the tank is ...
V = (2/3)π(2 ft)³ = 16/3π ft³ ≈ 16.755 ft³
Then the weight of the water in the tank is ...
(16.755 ft³)(62.4 lb/ft³) ≈ 1045.52 lb
The total weight of the water is about 1046 pounds.
Sarah bought a pair of shoes that were $64 but we’re on sale for $46 sales tax is 6% how much does she pay for the shoes
Answers
Answer:
43,24$
Step-by-step explanation:
46$ — 100%
x$ — 6%
46 · 6/100
2,76$
46$ - 2,76$ = 43,24$
I don't know if this helps
Janice wants to find the area of a square tabletop. She uses the formula for the area of a square: A=8x2 where 8 is the length of one side of the square .if 8=3 feet what is the area of the tabletop?
Answers
Answer:
12
Step-by-step explanation:
because you replace 8 with 3
Marvin's Tree Service purchased several spruce tree saplings.
The heights of the saplings are shown in the table. Which line plot represents the data correctly?
A data set titled
A.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 5 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
B.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 3 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
C.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 4 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
D.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one fourth has 1 dot. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 4 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
Answers
Answer:
B
Step-by-step explanation:
i need to find the area of a rectangle using the formula A=b*h the height is 810 cm the base is 10 meters...i know i need to convert, but how do i set up the equation to gigute/work this this out?
Answers
Answer:
81000[tex]cm^{2}[/tex] or 8.1[tex]m^{2}[/tex]
Step-by-step explanation:
1m = 100cm
10m = 1000cm
a= b*h
a= 1000cm * 810cm
= 810000[tex]cm^{2}[/tex]
1[tex]m^{2}[/tex] = 10000[tex]cm^{2}[/tex]
810000[tex]cm^{2}[/tex] = 8.1[tex]m^{2}[/tex]
Jasmine recorded the number of minutes she spent doing homework each day during the months of March and April
The box plot shows her data for March
March
0
5
10
15
20
25
30
35
40
45
50
Time Spent Doing Homework (minutes)
Her data for April is given in the table
0 5 10 15
20 25 30 30 30
30 30 30 30
35 40 40 40 45
45 45 45 50 50 55 60 65 65 75
Select all true statements about the data
DA Jasmine spent more minutes doing homework during the month of April.
B
The mean value
greater for the month of April
C. The median value is greater for the month of April
D. Based on the interquartile range, there is greater variability for the month of April
Answers
Answer:
Option A,B,C and D is correct
Step-by-step explanation:
As we can see , the data set for April month has longer time duration taken for completing homework as compared to the time taken during the month of April. Hence, option A is correct.
Option B is also correct because most of the instance of time taken for doing homework is greater for month of April as compared to the month of March
Median value for the month of march = 25 and median value for the month of April is (30+35)/2 = 32.5. Hence, Option C is correct
There is greater variability for the month of April. Hence, option D is correct
You need a 30% alcohol solution. On hand, you have a 780 mL of a 15% alcohol mixture. You also have 90%
alcohol mixture. How much of the 90% mixture will you need to add to obtain the desired solution?
You will need ____ mL of the 90% solution?
PLEASE HELP!!! BRAINLIEST! FOR MY FINAL!!!
Answers
Answer:
195 mL of the 90% solution
Step-by-step explanation:
Let the number of mL of 90% mixture = x
Hence, our equation is
780mL × 15% + x mL × 90% = (780mL + x) 30%
117 + 0.9x = 234 + 0.3x
Collect like terms
0.9x - 0.3x = 234 - 117
0.6x = 117
x = 117/0.6
x = 195 mL
Therefore, You will need 195 mL of the 90% solution