Answer:
22 * n + 4
Step-by-step explanation:
If two lines are parallel to the same line,then they are parallel to eachotherGiven: a||c and b||c Prove a||b
Given: a||c and b||c
Prove a||b
we know that
if two lines are parallel, then their slopes are equal
that means
If a||c and b||c
then
ma=mc and mb=mc
so
by the transitive property
if ma=mc and mb=mc
then
ma=mb
the slopes of the lines a and b are equal
therefore
lines a and b are parallel
A company’s equipment manager buys $7,000 worth of equipment. This equipment depreciates 19% each year. The manager can replace the equipment after its value falls below $500. After how many years can the manager first replace the equipment?
Answer:
13 (c)
Step-by-step explanation:
Graph the equation 7000(1-0.19)^x and then the inequality y<500, the point of intersection should be 12.524, so the answer will be rounded up to 13 i think
Answer:
13
Step-by-step explanation:
how many different choices of car does a person have if a particular model comes in 11 colors and 4 styles
Answer:
44 options
Step-by-step explanation:
In order to solve this problem you would simply need to multiply the options specifics together. In this scenario, these are the color and style. Therefore since the individual can choose from 11 colors and 4 styles you simply multiply 11 by 4. This is because every single color chosen has 4 styles to choose from, meaning that all 4 styles also have 11 colors to choose from and vice versa.
11 * 4 = 44
Therefore, we see that an individual looking to buy a car has a total of 44 options to choose from.
A to City B. In 5 days, they have traveled 2,075 miles. At this rate, how long will it take them to travel from City A to City B?
In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
What is formula?A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.
Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.
A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.
We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.
total distance / time taken = average speed
\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because
Time taken = \(2075/415\) per days \(= 5 days\)
Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
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What is the value of f(-2)?
Answer:
-2f
Step-by-step explanation:
7 is not more than w
O 72W
O 7 > W
O 7= w
O 7≤W
Answer:
B
Step-by-step explanation:
Answer:
its either D or C but I think its D
Step-by-step explanation:
Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has measure 8 feet, 15 feet, and 20 feet long. Use this information to answer 8-9
8. Joel cut the longest piece of fencing in order to make a right triangle. Find the perimeter of Joel’s fence.
9. If it takes Joel 30 seconds to
foot of fencing, how many total minutes will it take him to install the fence?
Please help me thank you so much.
Answer:
8. Joel will not form a right triangle.
9.20 minutes
Step-by-step explanation:
8. First use theorem
Right triangle theorem
c²=a²+b²
c=20 ft
a=8ft
b=15 ft
20² =8²+15²
simplify
400= 64+225
400 does not = 289
9.
Part B)
if Joel cut the longest piece of fencing in order to make a right triangle
longest part is 17^2
a²+b²=289
c²=√289
c=17 ft
the perimeter of the fence is
a+b+c
17+8+15
perimeter is
40 ft
30 sec to install 40 ft(perimeter)
x=40*30
x=1200 seconds
x=1200/60 in minutes
x=20 minutes
What is the error in this problem
Answer:
The error is the use of wrong trigonometric ratio formula.
Sine was used instead of tangent.
It should be: \( tan(A) = \frac{36}{84} \)
Step-by-step explanation:
Side length, 36, is opposite to <A. Side length, 84, is the adjacent side. Therefore, the right trigonometric ratio formula to use is:
\( tan(A) = \frac{opposite}{adjacent} \)
\( tan(A) = \frac{36}{84} \)
\( A = tan^{-1}(\frac{36}{84}) \)
m<A ≈ 23°
The error made was the use of wrong trigonometric ratio formula.
Can someone help me with this ? it is relative frequency tables
Answer:
Step-by-step explanation:
36/78 = 0.46153,,,, nope.. not a choice
36/123 = 0.2926.... so the last answer looks good
Find the surface area of the composite figure.
20 in.
11 in.
5 in.
I
I
19 in
12 in.
12 in.
SA
=
11 in.
5 in.
20 in.
[?] in.2
The surface area of the composite figure is 2005 in².
To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.
Let's break down the figure into its different parts and calculate the surface area step by step:
Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:
Surface Area of Rectangular Prism = 2lw + 2lh + 2wh
Plugging in the values, we have:
Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²
Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:
Surface Area of Rectangular Prism = 2lw + 2lh + 2wh
Plugging in the values, we have:
Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²
Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:
Surface Area of Rectangle = lw
Plugging in the values, we have:
Surface Area of Rectangle = (11)(5) = 55 in²
Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:
Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle
Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²
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Convert repeating decimal 0.155….to fraction
Given the repeating decimal 0.155...
We will convert it to a fraction as follows:
\(\begin{gathered} 0.1555.\ldots=0.1+0.055\ldots \\ \\ =\frac{1}{10}+\frac{5}{100-10} \\ \\ =\frac{1}{10}+\frac{5}{90}=\frac{9}{90}+\frac{5}{90}=\frac{14}{90}=\frac{7}{45} \end{gathered}\)so, the answer will be:
\(0.1555\ldots=\frac{7}{45}\)Which of the following ratios would form a proportion with Two-thirds?
a.
Three-fourths
c.
StartFraction 12 Over 15 EndFraction
b.
StartFraction 6 Over 9 EndFraction
d.
One-third
The proportion equivalent with Two-thirds would be 6/9.
Since we know that the proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that the proportion with Two-thirds
If you actually divide it’ll make since , so first we want to divide the 2 , then you want to multiply the third of the two
2/3 x 3/3
6/9
thus, the answer will be 6/9.
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Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Write the comparison using <, >, or =.
Z 3 pounds
32 ounces
14 pounds
40 ounces
1,000 pounds
1 ton
4,000 pounds
1 pound and 5 ounces
1.5 pounds
2 tons
28 ounces
25 ounces
3 pounds 32 ounces < 14 pounds 40 ounces
1,000 pounds = 1 ton
1 pound and 5 ounces < 1.5 pounds
2 tons = 4,000 pounds
28 ounces > 25 ounces
What are the values in the compared weights?The comparison of the values of the given weights is as follows:
3 pounds 32 ounces < 14 pounds 40 ounces
This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.
1,000 pounds = 1 ton
This is because 1,000 pounds is equal to 1 ton.
1 pound and 5 ounces < 1.5 pounds
This is because 1 pound and 5 ounces is less than 1.5 pounds.
2 tons = 4,000 pounds
This is because 2 tons is equal to 4,000 pounds.
28 ounces > 25 ounces
This is because 28 ounces is greater than 25 ounces.
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Complete question:
Write the comparison using <, >, or =.
3 pounds 32 ounces vs 14 pounds 40 ounces
1,000 pounds vs 1 ton
1 pound and 5 ounces vs 1.5 pounds
2 tons vs 4,000 pounds
28 ounces vs 25 ounces
what is the sequence pattern for 2, 4, 8, 16, 30, 52, 84
can someone help me with this question?
5. Kerry McCarthy is a news traffic reporter with an annual gross
pay of $44,500. He is single and is paid on a monthly basis.
How much is withheld monthly for state taxes?
$3,708.33 is withheld monthly for state taxes.
Some states have a graduated income tax that involves a different tax rate for each of several levels of income. The tax rate increases as income increases.
Tax Withheld per Pay Period = Annual Tax Withheld/ Number of Pay Periods per Year
Here, we are given that Kerry McCarthy is a news traffic reporter with an annual gross pay of $44,500.
Thus, the Annual Tax Withheld = $44,500.
He is paid on a monthly basis ⇒ Number of Pay Periods per Year = 12
Hence, we get-
Tax Withheld per Pay Period = 44,500/ 12
= 3,708.33
Thus $3,708.33 is withheld monthly for state taxes.
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12. Pure fruit concentrate must be diluted with water in the ratio 1:7.
How many millilitre of concentrate are needed to make 5litres cool drink?
By answering the presented question, we may conclude that To prepare ratio 5 litres of cold drink, we'll need 625 millilitres of pure fruit concentrate.
what is ratio?In mathematics, ratios demonstrate how frequently one number is contained in another. For example, if there are 8 oranges and 6 lemons in a fruit plate, the ratio of oranges to lemons is 8 to 6. In a similar vein, the orange-to-whole-fruit ratio is 8, whereas the lemon-to-orange ratio is 6:8. A ratio is an ordered pair of integers a and b represented as a / b, where b is not zero. A ratio is an equation that equates two ratios. For example, if there is one male and three girls (for every boy she has three daughters), 3/4 are girls and 1/4 are boys.
If the concentrate-to-water ratio is 1:7, it signifies that the final product requires 7 parts water for every 1 part concentrate. As a result, the total number of components in the combination is 1+7=8.
To produce 5 litres of the cold drink, we must first establish the quantity of concentrate necessary to make 8 parts, and then multiply this figure by 5 litres.
As a result, we need 1 part concentrate and 7 parts water to create 8 parts.
As a result, we require 1/8th of 5,000 millilitres of concentrate, or 625 millilitres.
To prepare 5 litres of cold drink, we'll need 625 millilitres of pure fruit concentrate.
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Simplify (4^2)^5
^ = exponent please help will award the Brainlyest
Answer:
Step-by-step explanation:
Here you go mate'
step 1
(4^2)^5 equation
step 2
(4^2)^5 multiply the equation 5 times
(4^2)(4^2)(4^2)(4^2)(4^2)
step 3
(4^2)(4^2)(4^2)(4^2)(4^2) solve
4^10
answer
4^10=1048576
How to determine if two triangles are congruent
Answer:
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Given that the triangles shown below are simiar, what is the value of x?
O A. 7.1
O B. 5
O C. 14
O D. 10
Answer:
C) 14
Step-by-step explanation:
Both triangles are the same as far as angles, DEF is however half of ABC. Therefore x is half of 28
for triangle LMN what can be said about the sum LN+MN
Explanation:
The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
Answer:
The sum is greater than |LM|
whats the square route of 78
Answer:
8.83176086633, which can be rounded up to 8.8
Step-by-step explanation:
...........................
Answer:
i think its c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
because -100,-57/8,6
the absolute value of -6 is 6 and
-8 7/8 is 8×(-8)+7=-64+7/8=-57/8 because when negative plus positive we subtract and we take the sign of the larger number
Elise says, "If you subtract 17 from my number and multiply the difference by negative 6, the result is negative 126." What is Elise's number?
Elise's number is 38.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
If you subtract 17 from my number and multiply the difference by negative 6, the result is negative 126.
let the number be x
So, the equation can be
-6(x- 17) = -126
Now, solving for x
Divide by -6
x-17= 21
Add 17 both side
x- 17+ 17 = 21 + 17
x= 38
Hence, Elise's number is 38.
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The cost of a jacket increased from $75.00 to $84.75. What is the percentage increase of the cost of the jacket?
A.
1.3%
B.
87%
C.
13%
D.
9.75%
Answer:
c) 13%
Step-by-step explanation:
Given information,
→ The cost of a jacket increased from the price $75.00 to $84.75.
Now we have to,
→ find the % increase of cost of jacket.
Let's solve the problem,
→ ((84.75 - 75)/75) × 100
→ (9.75/75) × 100
→ 0.13 × 100
→ 13%
Hence, the answer is 13%.
The model represents an equation. What value of X makes the equation true?
Answers are: -15
-3
15
3
Please help.
Answer:
D. 3
Step-by-step explanation:
Assuming the model represents an equation, the following can be deduced:
On the left side of the equation, the model shows we have 3 "x's", and 6 "1's". Let this represent:
3x + 6
On the right side of the equation, we have 2 "x's" and 9 "1's". Let this represent:
2x + 9.
The model would represent the equation below:
\( 3x + 6 = 2x + 9 \)
Solve for x
\( 3x + 6 - 2x = 2x + 9 - 2x \) (Subtracting 2x from both sides of the equation)
\( x + 6 = 9 \)
\( x + 6 - 6 = 9 - 6 \) (subtracting 6 from both sides of the equation)
\( x = 3 \)
Are the expressions –0.5(3x 5) and –1.5x 2.5 equivalent? explain why or why not.
Answer:
not equivalent; signs don't match
Step-by-step explanation:
Apparently, you want to compare the expressions ...
-0.5(3x +5)-1.5x +2.5Distributive propertyThe distributive property allows you to eliminate parentheses by multiplying each term inside parentheses by the factor outside.
ApplicationWhen we do that to the first expression, we get ...
-0.5(3x +5) = (-0.5)(3x) +(-0.5)(5) = -1.5x -2.5
Note that the signs of the terms inside parentheses are the same, and the signs of the terms after removing parentheses are the same. (Both terms have their signs changed by the negative factor multiplying the parentheses.)
The expanded expression -1.5x -2.5 is not equivalent to -1.5x +2.5, which has terms of different signs.
solve the equation
(x + 2)(x + 6) = 0
Answer:
The zeroes of the equation are -2 and -6.
Step-by-step explanation:
(x + 2)(x + 6) = 0
=> x = -2, -6
Hope it helps.
Suppose the random variable X has mean 10 and variance 3. Find an upper bound for the probability: P (X > 15).
Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25
what is a variance?The variance is the difference between the numbers in a set of data, to put it simply. Each number's variability is a statistical statistic that indicates how far off from the mean and from each other number in the set it is.
Here,
Given : mean = 10
varience = 3
Using chebyshevs inequality we have
P(|X-u| ≥ k)≤ \(\sigma^{2}\)/\(k^{2}\)
hence we can have,
=> P(X>15) ≤ 3/\(5^{2}\)
=> P(X>15) ≤ 3/25
Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25
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