Answer:
random since it doesn't have a specific opinion, it is required by bank service
Step-by-step explanation:
It takes light from the Sun 3.25 minutes to reach Mercury. How far away is the planet from the Sun (in km)? The speed of light, c, is 3 ✕ 105 km/s.
Answer:
66528 km
Step-by-step explanation:
1 sec = 3*105
60 sec = 1 min = 3*60*105 km
3.25 min-?
3 .25×60×105
The distance of Mercury from sun will be 585,000,000 km.
It is given that it takes 3.25 minutes to light to reach from sun to mercury.
If speed of light is 3 × \(10^{5}\) km/sec , then calculate the distance from sun to mercury.
What will be the value of (2 × \(x^{2}\) ) ÷ 2 ?
The value will be \(x^{2}\) .
Distance travelled by light in 1 seconds = 3 × \(10^{5}\) km
∵ 1 minute = 60 seconds
⇒ Distance travelled by light in 1 minute will be ;
= 60 × 3 × \(10^{5}\) km
⇒ Distance travelled by light in 3.25 minutes will be ;
= 3.25 × 60 × 3 × \(10^{5}\) km
= 585,000,000 km
Thus , distance of Mercury from sun will be 585,000,000 km.
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How do I solve this
4+(3.7-x)=1.72
Answer:
x = 5.98
Explanation:
1. 4+(3.7−)=1.72
2. 4+(−+3.7)=1.72
3. 4−+3.7=1.72
4. 7.7−=1.72
5. −+7.7=1.72
6. −+7.7−7.7=1.72−7.7
7. −=−5.98
Then simplify to x =5.98
What is the rate of change for the interval between 0 and
2 for the quadratic equation as f(x) = 2x² + x - 3
represented in the table?
O
23/1/2
04
05
O 10
\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 2x^2 + x -3 \qquad \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(2)-f(0)}{2 - 0} \\\\\\ \cfrac{[2(2)^2 + (2) -3]~~ - ~~[2(0)^2 +(0) -3]}{2}\implies \cfrac{7-(-3)}{2}\implies \cfrac{7+3}{2}\implies \text{\LARGE 5}\)
The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.
What is the average rate change?It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The function is given below.
f(x) = 2x² + x - 3
The rate of change of the function for the interval between 0 to 2 is calculated as,
Average rate = [f(2) - f(0)] / [2 - 0]
Average rate = [(2(2)² + 2 - 3) - (2(0)² + 0 - 3)] / 2
Average rate = 10 / 2
Average rate = 5
The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.
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Rewrite the equation by completing the square. X^2-2x-35
Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
possible answers -
By the cross product property, AB2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by AD.
By the cross product property, AB2 = BC multiplied by AD.
The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:
Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.
By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).
Using the proportionality of similar triangles, we can write the following ratio:
\($\frac{AB}{BC} = \frac{AD}{AB}$\)
Cross-multiplying, we get:
\($AB^2 = BC \cdot AD$\)
Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:
\($\frac{AC}{BC} = \frac{AD}{AC}$\)
Cross-multiplying, we have:
\($AC^2 = BC \cdot AD$\)
Now, we can substitute the derived expressions into the original equation:
\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)
It was made possible by cross-product property.
Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
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Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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Calculate the volume of the cube
Answer:
try 18
Step-by-step explanation:
because their are 6 sides on the cube and 6 ties 3 equals 18
Two bicycle trails were developed in a new housing development. One trail is
3 1/2 miles long. The other trail is 3/4 as long. How long is the second trail?
The length of the second trial will be equal to 2(⁵/₈) miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.
The length of the second trial will be calculated as,
Length = 3/4 x ( 3¹/₂ )
Length = 2(⁵/₈)
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Your total monthly bill (T
) from the Electric and Gas Company depends on how much electricity and how much gas you use each month. For every kilowatt hour of electricity (k
) you use, you are charged $0.25
and for each therm (t
) of gas used you are charged $0.97
.
Which of the following equations represents the relationship between electricity and gas used and your bill?
The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
Step-by-step explanation:
Make a plan:
We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).
T = 0.25 * k + 0.97 * t
Solve the problem:
1 - Write the Equation for the cost of Electricity:
0.25 * k
2 - Write the Equation for the Cost of Gas:
0.97 * t
3 - Combine the Equations to Represent the total Monthly Bill (T):
T = 0.25 * k + 0.97 * t
Draw the Conclusion:Hence, The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
I hope that helps!
C
55
Solve for C.
90
C = [?]
Round your
to the nearest tenth.
final answer
50
Law of Cosines: c² = a² + b² - 2ab-cosC
Measure of Angle C
Answer:
29.4°
Step-by-step explanation:
The equation can be rearranged to give C directly.
C = arccos((a^2 +b^2 -c^2)/(2ab))
C = arccos((90^2 +55^2 -50^2)/(2·90·55))
C = arccos(8625/9900) ≈ 29.4002°
C ≈ 29.4°
The measure of angle C is approximately 29.46 degrees.
How to determine angle CTo find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:
cos(C) = (a² + b² - c²) / (2 * a * b)
Substitute the given values:
cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)
Now, calculate the numerator:
cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)
cos(C) = 8625 / 9900
Now, divide to get the final value of cos(C):
cos(C) ≈ 0.8707
To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:
C ≈ arccos(0.8707)
Using a calculator, you'll find:
C ≈ 29.46 degrees (rounded to two decimal places)
So, the measure of angle C is approximately 29.46 degrees.
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A food processing plant is packaging 32oz bags of coffee beans. The tolerance is 0.25 ounces. 100 bags of coffee were weighed, and the number at each weight is shown in the table below:
Weight # of bags
31.25. 1
31.7. 3
31.8. 3
31.83. 6
31.9. 15
32. 49
32.1. 14
32.2. 5
32.24. 2
32.3. 2
If more than 1 in 10 bags is outside of the acceptable tolerance, the bagging line is paused until the problem is identified. Does the line need to be paused?
Answer: No
Step-by-step explanation:
Ernesto has a jump rope that is 10.5 feet long. To make the jump rope the jdeal length for his height, Emesto needs to cut off 0.3 of the jump rope. If Ernesto does this, how much rope will he cut off?
Answer:wouldnt he cut of 0.3?
Step-by-step explanation:It legit says that in the question and ther will me 10.2 feet left
Answer:
it is c
Step-by-step explanation:
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
Which triangles are similar to △A, B, C? Triangle. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Triangle A B C. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Choose 1 answer: Choose 1 answer: (Choice A) Triangle D E F. Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ D, E, F . Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ � Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ G, H, I only B Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ , I only (Choice C) Both (Choice D) Neither
its the geometry - Similarity : unit test / high school
The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.
If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.
In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.
Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.
Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.
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Complete Question:
Define triangle is △ABC similar to Similarity property and why?
Which triangle is △abc similar to and why? responses △abc is similar to △ghi by aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , , a a similarity postulate, ., △abc is similar to △jkl by aa similarity postulate. triangle a b c, is similar to , triangle j k l, by , , a a similarity postulate, , . △abc is similar to △def by aa similarity postulate. triangle a b c, is similar to , triangle d e f, by , , a a similarity postulate, , . △abc is not similar to any of the triangles given.
To purchase $14,500 worth of restaurant equipment for her business, Debra made a down payment of $1300 and took out a business loan for the rest. After 2 years of paying monthly payments of $585.04, she finally paid off the loan.
(a) What was the total amount Debra ended up paying for the equipment (including the down payment and monthly payments)?
(b) How much interest did Debra pay on the loan?
The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60
(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.
Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200
Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments
Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]
Total amount paid = $1,300 + $13,200 + $14,041.60
Total amount paid = $28,541.60
Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.
(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.
Total interest paid = Total amount paid - Total amount borrowed - Down payment
Total interest paid = $28,541.60 - $13,200 - $1,300
Total interest paid = $14,041.60
Therefore, the amount of interest Debra paid on the loan was $14,041.60.
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How do i round 3,842,532 to the nearest 1,000?
Answer:
until you only look at the thousands and hundreds place and if the hundred is 5 or more you round the thousands up one
so 3,842,532 rounded the the nearest 1000 is 3,843,000
What is the percentage plz help me with this Question.
Answer:
percentage is a number or ratio expressed as a fraction of 100.
Step-by-step explanation:
If you place a 23-foot ladder against the top of a building and the bottom of the ladder is 11 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot. PLEASE HURRY
Answer:20.2
Step-by-step explanation:
a^2+(11)^2 =23^2 a^2 +121=529
a^2=408 a=20.199009…
a=20.2
Answer: 20.2
Step-by-step explanation: I put that in and it was right
Jackie wants to put trim around the base of all the walls in her bedroom. The price of the trim is $1.19 per linear foot. How much will it cost her for the trim?A.$45.00B.$54.00C.$53.55D.$64.26
We have the following figure:
First let's find the perimeter of the figure:
\(P=10+12+15+5+12=54ft\)since one linear foot costs $1.19 of the trim, then the total cost would be:
\(54(1.19)=64.26\)therefore, it will cost $64.26 for the trim.
The bike you have been saving for is discounted 25%. You have $400 saved to purchase it. The original, non-discounted price of the bike is $450. There is a 5.44% sales tax added to the price of the bike. After you purchase the bike with the discount and sales tax, how much money will you have left over? Round your answer to the nearest dollar.
1) Let's begin considering that our budget is $400.
Since the bike is discounted by 25%, we can get to know the price with this formula:
\(400\times(1-0.25)=\$300\)2) Note that there is an increase in the price since there are taxes to pay. The original price is taken into consideration to charge the tax. So, let's find how much we have to pay:
\(450\times0.0544=\$24.48\)So, let's add that to the discounted price:
\(\$300+\$24.48=\$324.48\)3) Since I've got $400 let's find how much is left after that purchase:
\(\$400-\$324.48=\$75.52\approx\$76\)Note that as requested we rounded off to the nearest dollar.
Thus, that's what's left after the purchase
Hak Young has accumulated some credit card debt while he was in college. His total debt is now $23,864.00 and his credit card charges 18% interest compounded monthly. He is getting worried about his debt and is determined to pay it off completely. What would Hak Young’s minimum monthly payment have to be in order to pay off his debt in 5 years?
Answer: To find the minimum monthly payment, we need to calculate the monthly interest rate and the total number of payments over 5 years.
Calculate the monthly interest rate: 18%/12 = 1.5%
Calculate the total number of payments: 5 years * 12 months/year = 60 payments
Use the formula for the present value of an annuity:
P = (R * (1 + r)^n) / (((1 + r)^n) - 1)
where P is the payment, R is the debt, r is the monthly interest rate, and n is the number of payments.
Plug in the values:
P = ($23,864 * (1 + 0.015)^60) / (((1 + 0.015)^60) - 1)
The minimum monthly payment would be $547.68.
Step-by-step explanation:
Solve.
4 There are 42 tubes of oil paint on trays. Each tray
holds 6 tubes. How many trays of tubes are there?
Show your work.
7
Answer: 7
Step-by-step explanation:
Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.
Answer this with explanation please
The measure of angle MTU m∠MTU is 114 degree.
What is the measure of angle MTU?From the figure in the diagram:
Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.
m∠STU = 145°m∠STM = 31°m∠MTU = ?Since, angle STU composes or is the sum of angle STM and angle MTU.
To find angle MTU, simply subract angle STM from angle STU.
m∠STU = m∠STM + m∠MTU
Hence:
m∠MTU = m∠STU - m∠STM
Plug in the given values and simplify
m∠MTU = 145° - 31°
Subtract 31 from 145
m∠MTU = 114°
Therefore, angle MTU measure 114°.
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Susan has two pieces of ribbon, one 18 inches long and the other 12 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them? PLEASE HURRY IM TAKING A TIMED TEST!!
Answer:
I'm pretty sure its 12 inches
Step-by-step explanation:
GIVING BRAILIEST PLEASEE!! Given an exponential function for compounding interest, A(t) = P(0.82)t, what is the rate of decay?
A. 18%
B. 8%
C. 0.82%
D. 82%
Answer:A
Step-by-step explanation:
To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.
The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:
0.82 = 1 - r
r = 1 - 0.82
r = 0.18
Therefore, the rate of decay is 18%, which corresponds to answer choice A.
Answer:
A
Step-by-step explanation:
How many exact tenths are in 21.34?
Answer: 3
Step-by-step explanation:
The tenths place in this number:
2 = tens place
1 = ones place
.
3 = tenths place
4 hundredths place
Answer is 3.
Look at each place value. The number shows you how much of each are there.
Tenths is the first column after the decimal point and it says 3.
Triangle ABC has venices A(-4, 3) B(2, 3). and C(-5, 1) A dilation wi
scale factor of 5 and center at the origin is applied to this triangle.
What are the coordinates of
C'
in the dilated image?
Enter your answer by filling in the boxes,
C'
has a coordinate pair of (_,_)
9514 1404 393
Answer:
C'(-25, 5)
Step-by-step explanation:
The dilation scale factor is applied to each of the coordinate values independently:
C' = 5×C = 5×(-5, 1)
C' = (-25, 5)
Line segment BA¯¯¯¯¯¯¯¯ has endpoints B(−3,0) and A(5,4). What are the coordinates of the point located 14 of the way from B to A?
(1,2)
(3,3)
(−1,1)
(1,−1)
Answer: P'(9, -1), L'(3, 1)
Step-by-step explanation:
I dont have a an explanation but this is the correct answer.
Lucas used the number sentence 8 x 2 = 16 to solve a problem. Which problem could he have solved?
Answer:
Word problem 3
Step-by-step explanation:
Word Problem one is a subtraction problem since Felicia is giving away two marbles to Lucas. Word Problem two is a division problem since Felicia is evenly dividing the number of marbles she has into two bags. Word Problem three is a multiplication problem because Ryan has two times as many marbles that Felicia does. Word Problem four is an addition problem because she found two more marbles while she already has eight marbles. Keywords for subtraction word problems are: fewer than, decrease, take away, less than, minus, difference, change, lost reduced, and subtract. Keywords for division word problems are: As much, cut up, groups, equally, sharing, half, how many in each, parts, per percent, quotient, ratio, and separated. Keywords for multiplication word problems are: double, every, factor, increased, multiplied product, times, and tripled.
Evaluate the expression for x = 5 and y = 4.
8x − 6y
Answer:
8x-6y
when x=5 and y=4
=8(5)-6(4)
=40-24
=16