Answer
Length of the rectangle = 26 inches
Explanation
Let the length of a rectangle be L
Let the width of the rectangle be W
The length of the rectangle is 3 more than the width.
L = W + 3
But we are provided with the perimeter of the rectangle.
The perimeter of a figure is the sum of the dimensions of its exterior.
For a rectangle,
Perimeter = 2 (L + W)
For this question,
Perimeter = 98 inches
L = W + 3
W = ?
Perimeter = 2 (L + W)
98 = 2 (W + 3 + W)
98 = 2 (2W + 3)
98 = 4W + 6
4W + 6 = 98
4W = 98 - 6
4W = 92
Divide both sides by 4
(4W/4) = (92/4)
W = 23 inches
L = W + 3 = 23 + 3 = 26 inches
Hope this Helps!!!
The production cost of x computers for a company over one year is $175x + $150,000. To minimize production costs in a given year to $465,000, how
many computers can the company make in that year?
Answer:
I'm pretty sure it's 1800!!
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.
g(x) = 2 f (x - 1)
ights reserved
Drawing Tools
Select
Line
Click on a tool to begin drawing
-8
-6 4
Undo
Reset
The finished graph of g(x) = 2f(x - 1) would be as seen in red.
What is defined by the term transformation?Image transformations usually involve the modification of various bands of data, either from a single source images or from two or more images acquired at different times of the same area.We were provided a graph of the function f(x).
g(x) = 2f is another function definition (x -1).
Now we must use the drawing tool(s) to create the proper graph of a function g(x) = 2f (x -1).
which can be discovered through transformation.
f(x) becomes f (x-1)
Then, f(x-1) becomes 2f (x-1)
f(x-1) shifts this same graph of f(x) by one unit to the right.
Whereas 2f(x-1) extends the graph of f(x-1) by a factor of 2. So we just need to double the y-coordinates of the points on the graph.
As a result, the finished graph of g(x) would be as seen in red.
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Toni is at a dock on a bank of a straight river that is 1 mile wide and wants toreach the barge toll gate on the other side, so he can warn the guards about the stolengoods on an approaching barge. The toll gate is 4 miles downstream on the opposite bank,and Toni want to get there by first rowing his boat to somewhere (call it point P) on theopposite bank and then walking the remaining distance × to the toll gate. He can row at 4mph and walk at 2 mph. Express the total time 7, in terms of x, that he takes to go from thedock to the toll gate.
The formula to calculate the time taken is given to be:
[tex]Time=\frac{Distance}{Speed}[/tex]The total time taken is going to be the sum of the time taken to cross the river and the time taken to go from the point on the opposite bank to the toll gate.
The
2. The hypothetical market for flu shots is depicted in the graph below where market equilibrium quantity is 20 flu shots and market equilibrium price is $20 per shot. Assume that there was an external benefit of $20 per flu shot (value of the flu shot by an individual that accrues to bystanders). What would be the socially optimal quantity of flu shots considering the effect of this external benefit? Answer = ____ flu shots How much of a subsidy per shot would make the market equilibrium outcome be equal to the socially optimal equilibrium? Answer = $____ per flu shot (/2.0 Points)
The socially ideal dose of 40 flu vaccines may be determined by the external beneficial effect. While a $10 subsidy for each flu shot would bring the market equilibrium's result into line with the ideal situation for society.
In order to determine customer interest in and market demands for products that are currently in development, hypothetical scenario marketing uses product surveys and made-up scenarios. Utilizing hypothetical marketing can assist small business owners in allocating resources to product categories where customers have shown a need and desire.
The presented example is a positive externality situation since there is an external social benefit and the market equilibrium quantity is lower than the level of output that would be considered optimal for society because it ignores the external benefit. The subsidy is applied to either produce internalities or address externalities per unit.
At each level, there will be a $20 rightward shift in the marginal social benefit curve. With this external benefit effect in mind, 40 shots of the flu vaccine would be the most beneficial for society. The market equilibrium result would be identical to the socially ideal equilibrium with a $10 subsidy for each flu vaccine.
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f(x) = 3x - 3, find f (-4)
Answer:here x=-4
Step-by-step explanation:
3(-4)-3=-15
PLEASE HELP!!!!!
Answer two questions about Equations AAA and BBB:
A. x/4 + 1 = -3
B. x + 4 = -12
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
(Choice A)
Rewrite one side (or both) using the distributive property
(Choice B)
Rewrite one side (or both) by combining like terms
(Choice C)
Multiply/divide only one side by a non-zero constant
(Choice D)
Multiply/divide both sides by the same non-zero constant
Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
(Choice A)
Yes
(Choice B)
No
Answer:
1)D and 2)A
Step-by-step explanation:
1) D
When you dived B by 4 on both sides , you get A
2) A
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Jen purchased the items shown in the table.
Item Cost ($)
shirt 11.99
shoes 35.50
belt 6.75
socks 3.00
In the city she lives in, the sales tax rate is 7.15%. In another city, the sales tax rate is 6.35%. How much more is she spending if she purchases the items in the city where she lives? Round to the nearest cent.
She spends the cost of $0.46 if she purchases the items in the city where she lives.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The given data below as:
Cost of the shirt = $11.99
Cost of the shoes = $35.50
Cost of the belt = $6.75
Cost of the socks = $3.00
Total cost of the items = 11.99 + 35.50 + 6.75 + 3.00
Total cost of the items = $57.24
In the city she lives in, the sales tax rate is 7.15%.
Total cost of the items with tax of 7.15%
= 57.24 × 7.15/100 + 57.24 = 4.092 + 57.24 = $61.33
In another city, the sales tax rate is 6.35%
Total cost of the items with tax of 6.35%
= 57.24 × 6.35/100 + 57.24 = 3.633+ 57.24 = $60.87
Hence, she spends the cost of $0.46 if she purchases the items in the city where she lives.
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Complete the sentence
Percent means per _______.
Answer:
Percent means parts per hundred.
Step-by-step explanation:
Percent comes from the Latin phrase per centum which means per hundred. The % symbol is used to represent percent.
Example: 54/100 is equal to 54%.
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An international company has 29,200 employees in one country. If this represents 31.7% of the company's employees, how many employees does it have in total?Round your answer to the nearest whole number.
Answer:
The total number of employees the company have is;
[tex]92,114[/tex]Explanation:
Given that an international company has 29,200 employees in one country.
If this represents 31.7% of the company's employees.
let n represent the total number of employees the company have;
[tex]31.7\text{\% of n = 29,200}[/tex]Solving for n;
[tex]\begin{gathered} \frac{31.7}{100}n=29,200 \\ 0.317n=29,200 \\ n=\frac{29,200}{0.317} \\ n=92,113.564668 \\ n\approx92,114 \end{gathered}[/tex]Therefore, the total number of employees the company have is;
[tex]92,114[/tex]
A probability experiment consists of rolling a 6-sided die, numbered 1 to 6. Find the probability of the event below.
rolling a number less than 6
According to the solving the Probability of the event below is as:
= 0.8333
What is probability?Probability is the possibility that an event will occur given all the potential outcomes. A decision-maker considers the likelihood of a result to be important. Decisions will be made better as potential outcomes are better understood.
The purpose of probability:Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures as well as the risk of health impacts are related.
According to the given data:The probability of rolling a number less than 6.
There are six sides to the die with numbers on each side of (1, 2, 3, 4, 5, 6)
There is a total of six numbers and five ae below six in value.
So,
P(X < 6) = 5/6
= 0.8333
According to the solving the Probability of the event below is as:
= 0.8333
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The length of a rectangle is 2 cm longer than its width.
If the perimeter of the rectangle is 44 cm, find its area.
Answer:
perimeter = 2(b x L)
p° 2(2+20)
= 22X2 =44cm
area = B x W
a = 20x 2 =40 cm²
how many times larger is a square kilometer than a square dekameter
Answer: It is 10000 times larger
Establish the identity.
(sec 0+1)(sec 0-1)= tan 0
Multiply and write the left side expression as the difference of two squares.
- Tan²θ is the left side expression as the difference of two squares in trigonometric ratios.
What do trigonometric ratios represent?
As specified by the definition of a right-angled triangle's side ratio, trigonometric ratios are the values of all trigonometric functions. Trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.Review the sine, cosine, tangent, cotangent, secant, and cosecant trigonometric ratios.When calculating unknown distances from known or measured angles in geometric figures, trigonometric functions are used.(sec θ+1)(sec θ-1)= tan² θ
use ( a+ b ) ( a - b) = a² - b²
= 1² - sec²θ { we know that 1 + tan²θ = sec²θ}
= 1 - sec²θ
= - tan²θ
LHS = RHS
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A number is multiplied by 6, and that product is added to 3. The sun is equal to the product of 3 and 11
Answer:
x = 5
Step-by-step explanation:
3 + x * 6 = 3 * 11
3 + 6x = 33
6x = 30
x = 5
A printing service charges a set-up fee of $14.50 for each order and 15 cents more for each copy. The total cost, C (in dollars), for an order of x copies is given by the following function.
C (x) = 0.15x + 14.50
What is the total cost for an order of 30 copies?
Answer: $19
Step-by-step explanation:
Since we want 30 copies, let x=30.
[tex]C(30)=0.15(30)+14.50=19[/tex]
-109-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10 Which of the following inequalities is represented by the number line?
The inequality is x > -3
The second choice is the correct answer.
For the following word problems, create a system of equations and solve by using the substitution method.
We will solve as follows:
*We have the equations:
[tex]9.50A+27.00B=4000[/tex]&
[tex]A+B=200[/tex]We solve then for the second equation [Either for A or B], that is:
[tex]A=200-B[/tex]Now, we replace in the first equation and solve for B:
[tex]9.50(200-B)+27.00B=400\Rightarrow1900-9.50B+27.00B=4000[/tex][tex]=17.5B+1900=4000\Rightarrow17.5B=2100[/tex][tex]\Rightarrow B=120[/tex]Now, we replace the value of B in the second equation:
[tex]A=200-(120)\Rightarrow A=80[/tex]So, the investor has 80 shares on stock A and 120 shares on stock B.
5) Determine the probability distribution's missing value.
The probability that a tutor will see 0, 1, 2, 3, or 4 students
For the given probability distribution, the missing value is 5/17.
What is probability distribution?A probability distribution is a mathematical function used in probability theory and statistics that estimates the likelihood that various possible outcomes of an experiment will occur. In terms of its sample space and event probability, it is a mathematical description of a random phenomena.
For the given distribution,
Let the missing value be x
we know that sum of probabilities = 1
⇒ 0 + 0 + 7/17 + x + 5/17 = 1
⇒ 12 / 17 + x = 1
⇒ x = 1 - 12/17
⇒ x = 5 / 17
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What’s the correct answer answer asap for brainlist
John's utility bills for the last five months are $23.84, $23.87, $20.48, $29.75, and $28.34. Find John's mean utility bill over this period.
Answer:
[tex]\text{ \$25.26}[/tex]Explanation:
Here, we want to get the mean utilit bill over the period
Mathematically, that means we have to find the average of his utility bills in that period
To get this,we have to divide the sum of all these values by the count of these values (5)
Mathematically, we have this as:
[tex]\frac{23.84\text{ + 23.87 +20.48 + 29.75 + 28.34}}{5}=\text{ }\frac{126.28}{5}\text{ = \$25.26}[/tex](-7) -4 evaluate expression
Answer:
28
Step-by-step explanation:
To evaluate this expression, multiply the two numbers.
-7x-4=28
28 is not negative because a negative times a negative is positive.
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What do you put in each box
The equivalent expression to 8(t+8) is 8t+64 and the equivalent expression to 8t+8 is 4(2t+2) and 4t+8+4t.
The given expressions are 8(t+8) and 8t+8.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Now, 8(t+8)
Using distributive property a(b+c)=ab+ac, simplify 8(t+8)
That is, 8t+64
Take common factor in 8t+8 is 4(2t+2) and 8t+8=4t+8+4t
Therefore, the equivalent expression to 8(t+8) is 8t+64 and the equivalent expression to 8t+8 is 4(2t+2) and 4t+8+4t.
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I need help with this the question reads before the pandemic Corning planned to make 75 millions vials in 2021 due to the vaccine demand Corning will make d times as many vials write an expression to find how many vials Corning will make in 2021
The solution:
The question says Corning planned to make 75,000,000 vials in 2021.
But due to the demand for the vaccine, Corning decided to make d times as many vials.
We are asked to write an expression to find the number of vials Corning will make in 2021.
So, the required expression is:
[tex]75000000\times d=75000000d\text{ vials}[/tex]Therefore, the correct answer is 75000000d vials.
100 points and brainly for right answer A line includes the points (9,10) and (6,9). What is its equation in point-slope form?
Answer:
y = 1/3x + 7
Step-by-step explanation:
A line includes the points (9,10) and (6,9). What is its equation in point-slope form?
slope = change in rise/change in run
so:
slope = change in y/change in x
you are given two points in (x , y) format, points are: (9,10) and (6,9) [second in each pair are the y values]. Figure change in y and x:
y: 10 - 9 = 1
x: 9 - 6 = 3
so slope =y/x = 1/3
slope intercept form is: y = mx + b where m = slope. Substitute in value previously found for slope:
y = 1/3x + b
Now, you need to find y intercept, or b. Using one of the points given, we will use the first one (9,10), calculate for b:
y = 1/3x + b
10 = 1/3(9) + b
10 = 3 + b
subtract 3 from both sides:
10 - 3 = 3 + b - 3
b = 7
Put this into your equation: y = mx + b
y = 1/3x + 7
The x-intercept of 2x + 3y = 12 is (0,4).A.TrueB.False
The x intercept is the value of x when y = 0
Looking at the equation,
2x + 3y = 12
If we substitute y = 0 into the equation, it becomes
2x + 3*0 = 12
2x + 0 = 12
2x = 12
x = 12/2
x = 6
Therefore, the statement is false
The vertices of a figure are F(1, 2), G(3,5),and H(3, 2). Rotate the figure 180° about the origin. Find the coordinates of the image.
The coordinates of the vertices after the image is rotated about origin will be -
F(1, 2) → F'(-1, -2)
G(3, 5) → G'(-3, -5)
H(3, 2) → H'(-3, -2)
What is rotation of figure?
A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.
Given are the vertices of a figure as → F(1, 2), G(3,5) and H(3, 2).
Since, it is not given in which direction the figure is rotated, we will consider it to be rotated in anti - clockwise direction about the origin. When we rotate a coordinate point by 180 degrees in counterclockwise direction about the origin, then the point A(x ,y) becomes A'(-x ,-y).
The new coordinates will be -
F(1, 2) → F'(-1, -2)
G(3, 5) → G'(-3, -5)
H(3, 2) → H'(-3, -2)
Therefore, the coordinates of the vertices after the image is rotated about origin will be -
F(1, 2) → F'(-1, -2)
G(3, 5) → G'(-3, -5)
H(3, 2) → H'(-3, -2)
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In the equation y = 3x + 2, the expression f(x) would replace which part of the equation.
In the equation y = 3x + 2, the expression f(x) would replace which part of the equation.
Answer: y will be replaced by the expression f(x).
Help DUE by 10:00 pm help
A regular polygon is shown.
15 sided regular polygon
Determine the measure of one of its angles.
156°
168°
2,340°
2,700°
The measure of the given polygon's angle is 2340°
Polygons are two-dimensional closed objects in geometrical mathematics where n number of line segments cross each other to generate n number of vertices. A triangle is a polygon with three sides, for instance.
In an n-sided polygon, there are n inner angles.
The total of all interior angle measurements in a polygon is always constant and is denoted by the notation "n" for the number of sides in the polygon.
the formula is ;
Sₙ = ( n - 2 ) 180°
Here in question n is given as 15
Thus Sₙ = ( n - 2 ) 180° becomes
Sₙ = ( 15 - 2) 180
13 × 180
= 2340 °
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Evaluate the expression when y=4 and x=6 so what is x+8y
Sabastian Company has 10,000 shares of $100 par, 2% cumulative preferred stock and 50,000 shares of $50 par common stock. The following amounts were distributed as dividends: Year Amount Year 1 $10,000 Year 2 30,000 Year 3 45,000 Determine the dividends per share for preferred and common stock for each year. If required, round your answers to two decimal places. If your answer is zero, please enter "0".
The dividends per share for preferred and common stock for each year is year 1 $20,000, $10,000; year 2 $30,000, $0 year 3 $30,000, $15,000.
How to determine the Preferred and common stock?Year 1
Preference Shares = Number of shares × Par value ×%
Preference Shares = 10,000 ×100 × 2%
Preference Shares = $20,000
Common Shareholders:
Common Shareholders = $20,000 - $10,000
Common Shareholders = $10,000
Year 2
Preference Shares = $30,000
Common Shareholders = $0
Year 3
Preference Shares = $20,000 + ($20,000 - $10,000)
Preference Shares = $20,000 + $10,000
Preference Shares = $30,000
Common Shareholders:
Common Shareholders = $45,000 - $30,000
Common Shareholders = $15,000
Therefore year 1 has the amount of $20,000 as preferred stock and $10,000 as common stock.
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