The expression to represent the number of items this online company sold n hours after 6am is 120 + 30n. Since the company had already sold 120 items at 6am, and then sells an average of 30 items every hour, the overall quantity of items sold is expressed by this linear formula.
Explanation:This is a problem related to linear functions, as the company's rate of sales is constant throughout the day. We are given the company sold 120 items at 6 am, which is our starting condition or 'y-intercept'. Then, we know the company sells an average of 30 items per hour, our rate or 'slope', for the rest of the day.
Therefore, the expression to represent the number of items sold n hours after 6 am is 120 + 30n. Here, 120 represents the number of items sold by 6 am, 30 is the average rate at which items are sold per hour, and n is the number of hours after 6 am.
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The expression to represent the total number of items sold n hours after 6 am is 120 + 30n, where 120 is the initial amount at 6 am, and 30n is the number of items sold per hour after 6 am.
Explanation:The question involves a linear equation to find the number of items sold by a company n hours after 6 am. Given that the company has sold 120 items by 6 am, and that it sells an average of 30 items per hour for the rest of the day, we represent this scenario with an expression. This can be expressed as 120 + 30n, where n represents the number of hours passed after 6 am.
This equation is made up of two parts: 120 represents the initial number of items sold by the company by 6 am, and 30n represents the number of items the company sells per hour (30) multiplied by the number of hours passed after 6 am (n). Hence, the total number of items sold after n hours will be the sum of these two values.
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The equation of a line is y-4=3(x+2) , which of the following is a point on the line? A (2, 4) B (4, -2) C (-2, 4) D (-4, 2)
Answer:
C (-2, 4)Step-by-step explanation:
The point-slope equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
We have the equation
[tex]y-4=3(x+2)\\\\y-4=3(x-(-2))[/tex]
Therefore
m = 3
(x₁, y₁) = (-2, 4)
Solve for X, please show work!
Answer:
the solution set consists of {x < -2 ∪ x > 10/3}
Step-by-step explanation:
|3x - 2| > 8 is equivalent to the following set of inequalities:
1) 3x - 2 > 8
and
2) -(3x - 2) > 8
In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.
In case 2, above, carry out the indicated multiplication first:
-3x + 2 > 8. Next, subtract 2 from both sides: -3x > 6.
Next, divide both sides by -3, remembering to reverse the direction of the inequality sign: x < -2.
Thus, the solution set consists of {x < -2 ∪ x > 10/3}
Answer:
x < -2 or x > 10/3
Step-by-step explanation:
3x - 2 > 8
3x > 10
x > 10/3
-3x + 2 > 8
-3x > 6
x < -2
x < -2 or x > 10/3
Howard flips a coin 335 times. What is the probability (p) of having ALL tails?
Step-by-step explanation:
The probability of getting tails is 0.5. The probability of getting tails 335 times is:
P = (0.5)^335
P = 1.43×10^-101
P ≈ 0
Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of
gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
Answer:This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).
Step-by-step explanation: If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).
Basically what this assignment sais is to write a function, input the data and write input and output as an ordered pair.
[tex]f(x)=3.75x[/tex]
Where f(x) equals y and 3.75 times x is cost of number of gallons x.
So we have:
[tex]
f(x)=12\Longrightarrow 12=3.75x \\
12=3.75x\Longrightarrow x=\dfrac{12}{3.75}=3.2
[/tex]
So the ordered pair is in a form of:
[tex](x, f(x))\Longleftrightarrow(x,y)[/tex]
We have x is 3.2 and y is 12. So the ordered pair is:
[tex]\boxed{(3.2, 12)}[/tex]
Hope this helps.
r3t40
What is the value of x
Answer: 3 units
Step-by-step explanation:
Answer:
3 units
Step-by-step explanation:
Can some help me with this pleaseeee :(((; asappp
What is the measure, in degrees, of angle 1?
Answer:
Think simple.
angle 1 and the angle with the measurement of 110° are subplementary angles, therefore:
∠1 + 110° = 180°
∠1 = 180° - 110° = 70°
Which equation has a constant of proportionality equal to 9?
Choose 1 answer:
Answer:
(B). [tex]y=9x[/tex]
Step-by-step explanation:
We have been given 4 equations. We are asked to choose an equation which has constant of proportionality equal to 9.
We know that two proportional quantities are in form [tex]y=kx[/tex], where k is constant of proportionality.
(A). [tex]y=\frac{81}{3}x[/tex]
[tex]y=27x[/tex]
We can see that value of k is 27, therefore, option A is not a correct choice.
(B). [tex]y=9x[/tex]
We can see that value of k is 9, therefore, option B is the correct choice.
(C). [tex]y=3x[/tex]
We can see that value of k is 3, therefore, option C is not a correct choice.
(D). [tex]y=\frac{1}{9}x[/tex]
We can see that value of k is 1/9, therefore, option D is not a correct choice.
distribute and simplify the radicals below (√12+6)(-√8-√2)
Answer:
Its A. on edge
Step-by-step explanation:
could that really be simplified anymore!!!!!
The simplified expression of (√12+6)(-√8-√2) is -6(√6 + √2).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(√12 + 6) ( -√8 - √2)
√12 x -√8 - √12 x √2 + 6 x -√8 - 6 x -√2
-√96 - √24 - 6√8 + 6√2
-√(16x6) - √(4x6) - 6√(4x2) + 6√2
-4√6 - 2√6 - 12√2 + 6√2
-6√6 - 6√2
-6(√6 + √2)
Thus,
-6(√6 + √2) is our final expression.
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Solve for x. 4−2x · 4x = 64
[tex]4-2x \cdot 4x = 64\\-8x^2=60\\x^2=-\dfrac{15}{2}\\x\in\emptyset[/tex]
the point (5,-2) is rotated 90degrees about the orgin it’s image is what ?
Rewrite the polynomial -9x5 + 36x4 + 189x3 in factored form.
Answer:
-9x^3(x - 7)(x + 3)
Step-by-step explanation:
Please Help!!!!
Use the graph of f to estimate the local maximum and local minimum.
Im not sure if I pick the right one. THankssssss
The proportions of multiple samples of registered voters who vote are normally distributed with a mean proportion of 0.38
and a standard deviation of 0 0485 What is the probability that a sample chosen at random has a proportion of registered
voters who vote between 0,37 and 0.39? Use the portion of the standard normal table below to help answer the question
The probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39, is 96.18%
Explanation:To find the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39, we need to standardize the values using the z-score formula. The z-score is calculated as (x - mean) / standard deviation. In this case, the mean proportion of registered voters who vote is 0.38 and the standard deviation is 0.0485. So, for 0.37:
z = (0.37 - 0.38) / 0.0485 = -2.0619
Using the standard normal table, we can find the area to the left of -2.0619, which is approximately 0.0191. For 0.39:
z = (0.39 - 0.38) / 0.0485 = 2.0619
Again, using the standard normal table, we can find the area to the left of 2.0619, which is approximately 0.9809.
To find the probability between 0.37 and 0.39, we subtract the smaller area from the larger area: 0.9809 - 0.0191 = 0.9618, or 96.18%.
The slope of a graphed line is 2/3 and the y-intercept is (0,4) what is the slope-intercept equation of the line?
Answer:
B. y = 2/3x + 4
Step-by-step explanation:
the equation is Y = mx + b
m = slope
b = y-intercept
your answer is B. y = 2/3x + 4
Answer:
Step-by-step explanation:
It's B
The general equation of a slope intercept line is
y = mx + b
m = the slope
m = 2/3
b = the y intercept
b = (0,4)
So the equation is
y = 2/3 x + 4
Subtract these polynomials. (6x2-x+8)-(x2+2)?
Answer:
5x2 - x + 6
Step-by-step explanation:
(6x2-x+8)-(x2+2)
We gonna use KCC which is Keep Change Change and distributing property
multiple (6x2-x+8) by 1 and (x2+2) by -1
6x2-x+8 -x2 - 2
combine the like terms
6x2 - x2 + 8 - 2 - x
5x2 + 6 - x
arrange in order
5x2 - x + 6
find the equation of the line graph below in point slope form. show your work. (will make brainiest.)
Answer:
y-2=4/3(x-2)
Step-by-step explanation:
Pick one coordinate and then plug the x value and the by value into the formula and then to find the slope and count up 4 and to the right 3.
8cos20°.cos40°.cos80°=1
Answer:
Correct.
Step-by-step explanation:
I am assuming you want to verify the above. If you enter this product into your calculator you'll get a result of 1.
Answer:
see explanation
Step-by-step explanation:
Using the double angle identity
sin2x = 2sinxcosx
Consider the left side
cos20. cos40. cos80
= [tex]\frac{1}{2sin20}[/tex] (2sin20cos20)cos40.cos80
= [tex]\frac{1}{2sin20}[/tex] (sin40cos40cos80
= [tex]\frac{1}{4sin20}[/tex] (2sin40cos40)cos80
= [tex]\frac{1}{4sin20}[/tex] (sin80cos80)
= [tex]\frac{1}{8sin20}[/tex] (2sin80cos80)
= [tex]\frac{1}{8sin20}[/tex] sin160
= [tex]\frac{1}{8sin20}[/tex] sin(180 - 20)
= [tex]\frac{1}{8sin20}[/tex] sin20
= [tex]\frac{1}{8}[/tex]
Hence
8(cos20cos40cos80) = 8 ×[tex]\frac{1}{8}[/tex] = 1 = right side
The state of Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. The state of Arizona has a surface area that is approximately 19.4% of the surface area of Alaska. What is the approximate surface area of the state of Arizona?
The approximate surface area of Arizona is calculated as 19.4% of Alaska's surface area, which is 588,000 square miles. By converting the percentage to a decimal and multiplying, we find that Arizona's surface area is approximately 114,072 square miles.
The question asks us to find the approximate surface area of the state of Arizona if it is 19.4% of the surface area of Alaska. To find this, we can use the known surface area of Alaska, which is approximately 588,000 square miles.
Here are the steps to calculate the surface area of Arizona:
Convert the percentage to a decimal by dividing it by 100: 19.4% \/ 100 = 0.194.Multiply this decimal by Alaska's surface area to find Arizona's surface area: 588,000 square miles * 0.194 = 114,072 square miles.So, the approximate surface area of the state of Arizona is 114,072 square miles.
The approximate surface area of the state of Arizona is 114,072 square miles, calculated as 19.4% of Alaska's surface area of 588,000 square miles.
To find the surface area of Arizona, we utilize the fact that it constitutes approximately 19.4% of Alaska's surface area.
This means that the surface area of Arizona is roughly 19.4% of the surface area of Alaska.
Given that the surface area of Alaska is approximately 588,000 square miles, we can calculate the surface area of Arizona by multiplying this value by 19.4%.
Mathematically, this can be expressed as:
[tex]\[ \text{Surface area of Arizona} = 0.194 \times \text{Surface area of Alaska} \][/tex]
Substituting the known value for the surface area of Alaska:
[tex]\[ \text{Surface area of Arizona} = 0.194 \times 588,000 \][/tex]
Calculating this yields:
[tex]\[ \text{Surface area of Arizona} \approx 0.194 \times 588,000 \][/tex]
[tex]\[ \text{Surface area of Arizona} \approx 114,072 \][/tex]
Therefore, the approximate surface area of the state of Arizona is 114,072 square miles, calculated as 19.4% of Alaska's surface area of 588,000 square miles.
This demonstrates the relative size of Arizona compared to Alaska.
What is the value for this expression?
2e-5
Answer:
[tex]0.0134[/tex]
Step-by-step explanation:
we have
[tex]2(e^{-5})[/tex]
Using a calculator
[tex](e^{-5})=0.0067[/tex]
substitute
[tex]2(0.0067)=0.0134[/tex]
50% of the class are boys and 20% of class are blonde haired and there are three times as many boys are blonde haired.huv much percentage of blonde haired boys are in class
Answer:15%
Step-by-step explanation:
Divide 20 by 4 then 3/4th are boys so take the answer and add it 3 times.
Given that 50% of the class are boys and 20% are blonde-haired, if there are three times as many blonde boys, the percentage of blonde boys in the class is 60%.
Explanation:The question can be interpreted as looking for the percentage of boys with blonde hair in the entire class. We know that 50% of the class are boys and that there are three times as many boys that are blonde as the 20% that are generally blonde-haired. This means that 60% of the class are boys who have blonde hair.
We can calculate this by multiplying the total percent of blondes (20%) by 3, as we are told there are three times as many blonde boys. Hence, the percentage of blonde boys in the entire class is 60%.
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As shown in the accompanying diagram, a dog is tied to a 16-foot leash,
which is attached to a corner where the house and fence meet. At this
corner, the angle between the house and the fence is 130°. When the dog
pulls the leash tight and walks from the house to the fence, what is the
distance that the dog walks, to the nearest tenth of a foot?
Backyard
Fence
(1) 11.6 feet
(2) 18.2 feet
(3) 32.0 feet
(4) 36.3 feet
House
(Not drawn to scale)
Find the circumference of the full circle:
Circumference = 2 x PI x radius.
The radius is given as the length of chain 16 feet.
Circumference = 2 x 3.14 x 16 = 100.48 feet.
The dog can walk 130 degrees.
Multiply the circumference by the fraction of a complete circle ( 360 degrees)
Distance = 100.48 x (130/360) = 36.28 feet
Round to 36.3 feet.
The answer is (4) 36.3 feet.
Slope -intercept form
Answer:
1. y-intercept: [0, 500]; Slope: 200
3. Graph this equation with a POSITIVE slope of 0.25 and a y-intercept of 20.
Step-by-step explanation:
The keywords in #1 are "receives [y-intercept]" and "a day [Rate of Change (Slope)]".
A line passes through the points one, four and three, -4 which is the equation of the line
ANSWER
[tex]y = - 4x + 8[/tex]
EXPLANATION
The given line passes through (1,4) and (3,-4).
The slope of this line is calculated using the formula:
[tex]m =\frac{y_2-y_1}{x_2-x_1} [/tex]
We substitute the points into the slope formula to get:
[tex]m = \frac{ - 4 - 4}{3 - 1} [/tex]
[tex] \implies \: m = \frac{ - 8}{2} [/tex]
[tex]m = - 4[/tex]
We substitute the first point and slope into the point-slope formula
[tex]y-y_1=m(x-x_1)[/tex]
This implies that
[tex]y - 4 = - 4(x - 1)[/tex]
We expand to get
[tex]y - 4 = - 4x + 4[/tex]
[tex]y = - 4x + 2/4+ 4[/tex]
[tex]y = - 4x + 8[/tex]
digits to write the value of the 5 in this number.
587,096
Answer:
Step-by-step explanation:
hundred thousandths
In the number 587,096, the value of the digit 5 would be 500,000 because it is in the hundred thousands position. We can express this as 5*100,000.
Explanation:In the number 587,096, the digit 5 is in the hundred thousands place. This means that the value of the digit 5 is not simply 5, but rather 500,000. To express this, we can write the number as 5*100,000. We multiply the actual digit (5) by its place value (100,000).
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9/10 divided by (-3/5) as a mixed number
Answer:
-1 1/2
Step-by-step explanation:
9/10 ÷ -3/5
Copy dot flip
9/10 * -5/3
-45/30
Divide the top and bottom by 15
-3/2
Change this to a mixed number
-1 1/2
The sequence a, = 2, 4, 8, 16, 32, ... is the same as the sequence ay = 2,
an = 2an-1.
true or false
Answer:
TRUE
Step-by-step explanation:
TRUE
a_1 = 2
a_n = 2*(an_1)
if we start with 2, we would get
a_2 = 2*(a_1) = 2*(2) = 4
a_3 = 2*(a_2) = 2*(4) = 8
a_4 = 2*(a_3) = 2*(8) = 16
a_5 = 2*(a_4) = 2*(16) = 32
.
.
.
and so on
Answer:
the answer is TRUE
3x+5y=25
Please asap
Nine is 4 percent of what number
Answer:
225
Step-by-step explanation:
We can model this question with:
9 = 0.04x
x represents "what number."
0.04x = 9.
Divide 0.04 from both sides
0.04x ÷ 0.04 = 9 ÷ 0.04
9 ÷ 0.04 = 225.
Therefore, 9 is 4% of 225.
Answer:
225
Step-by-step explanation:
Is means equals and of means multiply
9 = 4% * W
Change to decimal form
9 = .04 * W
Divide each side by .04
9/.04 = .04W/.04
225 = W
Write the equation in general quadratic form: plz help!!!
Answer:
7x² - 40x - 12 = 0
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable. After doing that, then apply the Quadratic Formula to the listed answer choices to see if they give you the exact same x-intercepts, EXCEPT for this one, where you can easily factor this one. It is "process of elimination". Sometimes you have to try it.