The graph of the relationship between x, the number of hours, and y, the total amount Andrew earns attached below, and the equation represent the relationship y = 8x.
What is the graph of the equation?
The graph of an equation is the group of all points on a number line or the coordinate plane that are solutions of an equation (= statement that two amounts are equal).
0 hours- $0
4 hours- $32
8 hours- $64
12 hours- $96
First find the equation of this problem to represent the relationship, which is y = 8x.
Next, you substitute the number of hours into x to get y, which is the amount of money.
Hence, the graph of the relationship between x, the number of hours, and y, the total amount Andrew earns attached below, and the equation represent the relationship y = 8x.
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2+2=
a. 3
b. 5
c. 4
d. 7
Answer:
C
Step-by-step explanation:
2
+2
-----
4
Doug deposits $4,998 into an interest-bearing account that is compounded continuously. He decides to not deposit or withdraw any money after the initial deposit. The following function represents the balance of the account, which is compounded continuously at a rate of r, after t years.
Which expression approximately represents the rate, r, at which the account is continuously compounded if the account balance is $6,614 after 7 years?
A.
B.
C.
D.
Answer:
interest rate = 0.0400215403 or 4.00215403% or 4%
Step-by-step explanation:
formula
final amount =
initial amount times e^(interest rate times time)
6614 = 4998 times e^(interest rate times 7)
(6614 ÷ 4998) = e^(interest rate times 7)
1.32332933173 = e^(interest rate times 7)
ln means natual log
ln(1.32332933173) = ln(e^(interest rate times 7))
0.28015078214 = interest rate times 7
0.28015078214 ÷ 7 = interest rate
0.0400215403 = interest rate
utub dr ashley godbold
investopedia
What is the total length of border needed in feet and
inches?
I WILL GIVE BRAINLIEST! ALSO KEEP AWARE!
Answer:
Step-by-step explanation:
An equation y = kx represent a proportional relation and k = \(\frac{y}{x}\)
⊕ Yes, the constant of proportionality is 3.5
A fair coin is tossed three times. Let X be the number of heads in thetosses minus the number of tails. Find the probability distribution of X.
Answer:
P(3) = 1/8
P(1) = 3/8
P(-1) = 3/8
P(-3) = 1/8
Step-by-step explanation:
Given that :
Coin is tossed 3 times :
Kindly check attached picture for detailed explanation
A six sided dice is rolled. What is the probability of rolling a number greater than 2?
The probability of rolling a number greater than 2 is 2/3
Calculating the probability of rolling a number greater than 2?From the question, we have the following parameters that can be used in our computation:
Rolling a number cube once
Using the above as a guide, we have the following:
Sample space, S = {1, 2, 3, 4, 5, 6}
In the above sample space, we have
Outcomes greater than 2 = {3, 4, 5, 6}
So, we have
P(greater than 2) = n(Outcomes greater than 2)/n(Sample space)
Substitute the known values in the above equation, so, we have the following representation
P(greater than 2) = 4/6
When evaluated, we have
P(greater than 2) = 2/3
Hence, the probability is 2/3
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Audrey and Megan are decorating for a birthday party. Audrey hangs 4 streamers in the same amount of time that Megan hangs 6. If Audrey hangs 12 streamers, how many will Megan hang?
Can you do it in tape diagram form or send me a link to the interactive?
4x(x2-4x+5)-2x2(2x2-8x-1)
2.8(g − 6) + 1.06 = 6.66
G= ?
Answer:
g = 8
Step-by-step explanation:
Hello!
We can solve for g by isolating the variable.
Solve for g2.8(g - 6) + 1.06 = 6.662.8g -16.8 + 1.06 = 6.66 => Distribute2.8g - 15.74 = 6.66 => Simply LHS2.8g = 22.4 => Add 15.74g = 8 => Divide by 2.8The value of g is 8.
Answer:
\( \sf \: g = 8\)
Step-by-step explanation:
Now we have to,
→ find the required value of g.
The equation is,
→ 2.8(g - 6) + 1.06 = 6.66
Then the value of g will be,
→ 2.8(g - 6) + 1.06 = 6.66
→ 2.8g - 16.8 = 6.66 - 1.06
→ 2.8g - 16.8 = 5.6
→ 2.8g = 5.6 + 16.8
→ g = (22.4)/(2.8)
→ [ g = 8 ]
Hence, the value of g is 8.
I need to know which graph represents the function?! please helpopo
The given function is a cubic function. The original graph of a cubic function takes the shape of each of the given graphs. Recall, if a function, f(x) is translated d units downwards, the new function would be f(x) - d. By applying this rule, we can see that the original cubic function was translated 2 units downwards along the vertical axis. Thus, the correct option is the second graph at the top(right)
739000 : 1000
What’s the answer ???
There are four activities on the critical path. Coincidentally, their standard deviations are all equal to 4. The standard deviation of the critical path is therefore equal to: Multiple Choice 16. 64. 4. 2. 8.
Answer:
8
Step-by-step explanation:
Given that :
Number of activities = 4
Standard deviation of each activity = 4
Standard deviation of the critical path =?
To obtain the standard deviation of the critical path :
Take the square of each standard deviation:
Activity 1 = 4² = 16; activity 2 = 4² = 16 ; activity 3 = 4² = 16 ; activity 4 = 4² = 16
Sum of the squares :
16 + 16 + 16 + 16 = 64
Square root of the sum:
√64 = 8
Please help! I’ll mark you as brainliest if correct
Answer:
Both answers are correct
4.
What would be the purchase price for a $5,000, 91-day T-bill paying 3%
interest?
a. $4,925.00
b. $4,962.50
C. $5,000.00
d. $5,037.50
Answer:
B
Step-by-step explanation:
A = P(1+i/n)^t
5000 = P(1+0.03/(361.3/91)^1 361.3 ??? it worked
P = 5000/1.007556048
P = $4962.50309
the 91 day T-bill confused by financial calculator which got $4962.78 for a quarterly compound interest rate
A full can of paint contains 4/5 of a gallon. Brandon used 3/4 of a can of paint to paint a doghouse. He then used 2/3 of what remained in the can to paint a door. How much paint is left in the can,in gallons?
Answer:
1/60 gallon
Step-by-step explanation:
You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.
Amount remainingTo find the amount remaining we subtract the amount used for the doghouse from the original amount:
4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon
2/3 of that was used, so 1/3 of it remains:
(1/3)(1/20 gallon) = 1/60 gallon
There is 1/60 of a gallon of paint left in the can.
__
Additional comment
In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.
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I really need help on this FAST please help me with this!!!! I will give lots of points
Answer:
71 degrees.
Step-by-step explanation:
m < CED = 180 - 152 = 28 degrees ( adjacent angles).
m <BAC = 28 degrees( alternate angles).
m < ACD = 28 + 43 = 71 degrees (external angle theorem).
Which expressions are equivalent to 24-7? Choose all the correct answers. Show your work.
The equivalent expressions to \(24^{-7}\) are given as follows:
C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)
F. \((24^3 \times 24^4)^{-1}\)
What are are equivalent expressions?Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.
The exponent in the denominator can be moved to the numerator with the changed signal, hence:
\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)
Applying the power of power rule, we multiply the powers, hence:
\((24^7)^{-1} = 24^{-7}\)
When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:
\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)
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What is the slope of the line through (1,0) and (3,8)
The change in xx is equal to the difference in x-coordinates (also called run), and the change in yy is equal to the difference in y-coordinates (also called rise). m=4
Answer:
4
Step-by-step explanation:
m = 4
PLEASE HELP
A fly makes a bee-line from one corner of Mrs. Tomasi's room
to the opposite corner. The room is 30x 32 feet and 9 feet tall.
What angle is the angle of elevation of the flight path if he flies
straight there?
The angle of elevation of the fly's flight path is approximately 57.74 degrees.
What is hypotenuse?In a right triangle, the hypotenuse is the side opposite the right angle. It is always the longest side of the triangle and is the side opposite to the 90 degrees angle. It is also the side that forms the "hypotenuse" of the right triangle.
What is Pythagorean theorem?The Pythagorean theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be written as c^2 = a^2 + b^2, where a and b are the legs of the triangle and c is the hypotenuse. This theorem can be used to find the length of the hypotenuse of a right triangle when the lengths of the other two sides are known.
Let's call the angle we're trying to find "theta". The horizontal distance is 30 feet, the vertical distance is 32 feet and the height is 9 feet.
Using pythagorean theorem:
$c^2 = a^2 + b^2$
$c = \sqrt{30^2 + 32^2}$ = $\sqrt{900 + 1024}$ = $\sqrt{1924}$
Now we can use the tangent function:
$\tan(\theta) = \frac{opposite}{adjacent} = \frac{32}{30}$
Now we can find the angle, theta, by using the inverse tangent function:
$\theta = \tan^{-1}(\frac{32}{30})$
The angle of elevation of the fly's flight path is approximately 57.74 degrees.
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Can someone help me please
Answer:
4 to 3
Step-by-step explanation:
First, we need to know how many nonfiction books there are and how many mystery books there are
Well, there are 24 mystery books and 18 nonfiction ones
To find the ratio between them, we need to compare how much 18 is to 24
To do this, let's find a common factor of 18 and 24
Both 18 and 24 have a common factor of 6
6 x 3 = 18
6 x 4 = 24
So, we know that there are 4 6's in 24 and 3 6's in 18
That means the ratio of 24 to 18 is the same as 4 to 3
Because 18 is 3 fourths of 24
So, the ratio of mystery books to nonfiction ones is 4:3
Answer:
4 to 3
Step-by-step explanation:
No.of mystery books= 24
No.of non - fiction = 18
Ratio= 24:18 (or) 24/18
Simplification of 24/18 is 4/3 (or) 4 to 3
ThankYouPlease mark me as brainliest
Need help, will give brainliest
Answer:
you put the correct answer in
Step-by-step explanation:
if a line has a slope of 4 and contains the point (-2,5), what is its equation in slope form?
Answer:
y-y1=m(x-x1)
y-5=4(x + 5)
y-5=4x+20
5. 5
y = 4x + 25
Find the slope of the straight line that passes through (–2, –4) and (3, –5).
A. m= -1/5
B. m = –1
C. m = 1/5
D. m = 1
\(\large\boxed{\textsf{A.}\ m=-\frac{1}{5}}\)
We can use the slope formula, where our points are \((x_1,y_1)\) and \((x_2,y_2)\):
\(\dfrac{y_2-y_1}{x_2-x_1}\)
This is also known as "rise over run" because it represents the change in vertical (\(y\)) position divided by the change in horizontal (\(x\)) position.
Substitute the values from the points given:
\(\dfrac{(-5)-(-4)}{3-(-2)}\)
Subtract:
\(\boxed{\dfrac{-1}{5}}\)
answer the question below, please
Answer:
AB = 42.30 m
Step-by-step explanation:
What we are asked to do is to simply find the length of AB.
Since both triangles are similar, therefore their corresponding sides would be proportional to each other.
Thus:
92/82.8 = 47/AB
Cross multiply
92*AB = 82.8*47
92*AB = 3,891.6
AB = 3,891.6/92
AB = 42.30 m(nearest hundredth)
Let x and y be positive integers and x greater then y
Answer:
anyone can be greater not only x it depends upon the value of x ,yStep-by-step explanation:
Straight Line Graphs Question. I tried to solve the section (a) part of the question correctly I followed the gradient method plugging in the values and got \(y = \frac{1}{6} x + 1.6 (recurring). However the answer is y = \frac{1}{2} x + 3.\). Where am I going wrong? Can someone explain step by step how to solve this please.
The equation of the straight line joining A to B is y = (1/2)x + 3, the equation of the straight line joining B to C is y = (1/2)x + 3, and A, B, and C are collinear.
What are collinear points?
Collinear points are three or more points that lie on the same straight line. In other words, if three points A, B, and C are collinear, then there exists a straight line that passes through all three points. To determine if three or more points are collinear, we can find the slope of the line that passes through any two of the points. If the slope is the same for all possible pairs of points, then the points are collinear. Otherwise, they are not collinear.
a) To find the equation of the straight line joining A to B, we can use the slope-intercept form of the equation of a line:
y = mx + b
where m is the slope of the line, and b is the y-intercept.
The slope of the line passing through A and B is:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) = (-8, -1) and (x₂, y₂) = (-4, 1).
m = (1 - (-1)) / (-4 - (-8)) = 2/4 = 1/2
To find the y-intercept, we can use the point-slope form of the equation of a line:
y - y₁ = m(x - x₁)
where (x₁, y₁) = (-8, -1) and m = 1/2.
y - (-1) = (1/2)(x - (-8))
y + 1 = (1/2)(x + 8)
y = (1/2)x + 3
Therefore, the equation of the straight line joining A to B is y = (1/2)x + 3.
b) To find the equation of the straight line joining B to C, we can use the same method:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) = (-4, 1) and (x₂, y₂) = (12, 9).
m = (9 - 1) / (12 - (-4)) = 8/16 = 1/2
Using point-slope form with the point (x₁, y₁) = (-4, 1) and slope m = 1/2:
y - 1 = (1/2)(x - (-4))
y - 1 = (1/2)x + 2
y = (1/2)x + 3
Therefore, the equation of the straight line joining B to C is y = (1/2)x + 3.
c) From the equations of the lines joining A to B and B to C, we can see that both lines have the same slope of 1/2. This implies that the three points A, B, and C are collinear, i.e., they lie on the same straight line.
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Devon wants to plant 84 tomato plants in his garden.
He wants to put 7 plants in each row. How many rows
will he need?
suppose that a regional express delivery service company wants to estimate the cost of shipping a package (y) as a function of cargo type, where cargo type includes the following possibilities: fragile, semifragile, and durable. costs for 15 randomly chosen packages of approximately the same weight and same distance shipped, but of different cargo types, are provided in the file p13 16.xlsx. a. estimate a regression equation using the given sample data, and interpret the estimated regression coefficients. if needed, round your answers to the nearest cent. use minus sign for negative number.
The regression equation is y = 14.57 + 2.22x₁ + 1.73x₂ and The estimated regression coefficients indicate that the cost of shipping a package is affected by the type of cargo, with an average base cost of $14.57. Fragile shipments cost an additional $2.22 per package, while semi fragile shipments cost an additional $1.73 per package. Durable shipments are the least expensive, with no additional cost.
We can use the least squares method to estimate the regression equation. The equation is in the form of y = a + b₁x₁ + b₂x₂, where a is the intercept, b₁ is the coefficient for the fragile cargo type, and b₂ is the coefficient for the semi fragile cargo type. We can calculate the coefficients by first calculating the sum of squares of x₁ and x₂, which is 4. The coefficient for x1 (b1) can be calculated by:
b1 = (∑xy1 - (∑ x₁∑y/n))/(∑ x₁₂ - (∑ x₁²/n))
= (76.62 - (20*94.07/15))/(17 - (20^2/15))
= (76.62 - 63.47)/(17 - 400/15) = 13.15/ (-383.33/15) = -2.22
The coefficient for x2 (b2) can be calculated by:
b2 = (∑xy₂ - (∑x₂∑y/n))/(∑x₂₂ - (∑x₂²/n))
= (71.59 - (11*94.07/15))/(14 - (11^2/15))
= (71.59 - 40.47)/(14 - 121/15) = 31.12/ (-107.33/15) = 1.73
The intercept (a) can be calculated by:
a = (∑y/n) - (b₁(∑x₁/n)) - (b₂(∑x₂/n))
= (94.07/15) - (-2.22(20/15)) - (1.73(11/15)) = 14.57
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can anyone make like this questions like 10questions and the answers also
Answer:
1. 5000
2. 500
3. 50
4. 50
5. 50
6. 0.5
How is 3:1 interpreted?
A. 3 in 1
B. 3 out of 1
C. 3 to 1
D. 3 vs 1
E. None of these
Answer:
3 to 1.
Step-by-step explanation:
3:1 is a ratio, which is comparing 2 different things.