Answer:
5940
Step-by-step explanation:
The first '6' represents '6000' and the second represents '60.'
Thus the difference of the values of the two '6s' is 6000 - 60 = 5940.
50 Points! Multiple choice algebra question. Photo attached. Thank you!
The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is, 3 / 5
We have to given that;
the terminal side of theta in standard position contains the point (6,-8)
Hence, For given condition we get;
The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,
Here, x = 6, y = - 8
Hence, We get;
r = √x² + y²
r = √6² + 8²
r = √36 + 64
r = √100
r = 10
So, The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,
cos θ = x / r
cos θ = 6 / 10
cos θ = 3 / 5
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Can someone help me with this pleasee here is the picture
The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
Writing the system of equations as an augmented matrixFrom the question, we have the following parameters that can be used in our computation:
x = 100
-5m - 7c = 350
-5m - 9c = 200
The above means that the variables in the system of equations are
x, m and c
So, we have the following representation
x m c
1 0 0 100
0 -5 -7 350
0 -5 -9 200
When represented as an augmented matrix, we have
\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
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What is the value of S4 for
♾️. n-1
Σ 1/4(-1/3)
The value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.
The given expression ♾️. n-1 Σ 1/4(-1/3) represents a summation of the term 1/4(-1/3) over a range of values from 1 to n-1, where n is an unknown value. We need to find the value of S4, which represents the sum of this expression when n is equal to 4.
To find the value of S4, we substitute n = 4 into the expression and evaluate it.
♾️. n-1 Σ 1/4(-1/3) = ♾️. 4-1 Σ 1/4(-1/3)
Simplifying, we get:
♾️. 3 Σ 1/4(-1/3)
Since the term 1/4(-1/3) is constant, we can pull it out of the summation:
1/4(-1/3) ♾️. 3
Now, ♾️. 3 represents the sum of 3 terms. Multiplying 1/4(-1/3) by 3 gives:
1/4(-1/3) * 3 = -1/4 * 1/3 * 3 = -1/12
Therefore, the value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.
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The probable question could be:
What is the value of s4 for expression ♾️. n-1 Σ 1/4(-1/3) ?
A) 1/9
B) 7/54
C) 5/27
D) 10/27
Please help me solve this fast!
Answer:
1) 7/8 8/7
2) 4.4
3) 3.7
4) 2.8
Step-by-step explanation:
Length of bottom side of Figure A: 8 cm
Length of bottom side of Figure B: 7 cm
From Figure A to Figure B, the scale factor is 7/8.
7/8
8/7
5 × 7/8 = 35/8 = 4.375
4.4
3.2 × 8/7 = 3.657...
3.7
3.2 × 7/8 = 2.8
2.8
120 increased by d percent and increased by 25 percent. what is the result?
Using proportions, the expression for the final amount is:
150(1+d).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
For this problem, we have that:
The increase of d% is equivalent to a multiplication by (1 + d).The increase of 25% is equivalent to a multiplication by 1.25.Hence the equivalent expression is:
120 x 1.25 x (1 + d) = 150(1+d).
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Which expression is equivalent to the expression 6(-2n + 7) - 3(5n + 9)?
How many times did the team score less than 60 points?
Stem
4
5
6
7
Leaf
2,5,9
3,4,6,8,8,9
0,2,3,4,4,6,8
0,0,1,2
A small pool is leaking water from a hole. After 2 ½ minutes, 3 ½ liters of water have leaked out.
How many liters of water will leak in one minute?
At this rate, how many liters will have leaked out after 10 minutes?
If the pool has 42 liters of water in it, after how many minutes will be empty?
Answer:
Question A: 14
Question B: 30min
Step-by-step explanation:
Ignore the one I filled in
Please help tho!
Answer:
it's the last one
Step-by-step explanation:
if three doughnuts cost $2.25 what does one doughnut cost
Divide the cost of the doughnuts ($2.25) by the number of doughnuts:
2.25 / 3 = $0.75 per doughnut
in a field number of cows:number of sheep =12:5
whick two of the followinfg statemnets must be correct about the sheep and cows in the fiels
Answer:
Since the ratio is 12 : 5, the statement which is true is there are more than twice as many cows as there are sheep.
The ratio between the number of cows to number of sheep in a field is given as:
12 : 5
Now,
let the number of sheep be 5 x.
So, the number of cows will be 12 x.
So, we get that:
12 x > 2 ( 5 x)
12 x > 10 x
So, the statement which is true will be:
there are more than twice as many cows as there are sheep
Therefore, since the ratio is 12 : 5, the statement which is true is there are more than twice as many cows as there are sheep.
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Step-by-step explanation:
A coordinate plane with a straight line with a positive slope. The line starts at (0, 0) and passes through points labeled A at (2, 1) and B at (4, 2) and through (8, 4). There is a vertical dashed line starting at point A extending two units to the right and one unit up to point B.
What is the vertical change from Point A to Point B?
What is the horizontal change from Point A to Point B?
What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary
Answer:
On edge 2021
Step-by-step explanation:
!st:1
2nd:2
3rd:0.5
Answer:
A coordinate plane with a straight line with a positive slope. The line starts at (0, 0) and passes through points labeled A at (2, 1) and B at (4, 2) and through (8, 4). There is a vertical dashed line starting at point A extending two units to the right and one unit up to point B.
What is the vertical change from Point A to Point B?
1
What is the horizontal change from Point A to Point B?
2
What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary
0.5
Step-by-step explanation:
The sum of two numbers is -6.5 and their difference is 4. 5. What are the numbers? A. -1.25 and -5.25 B. 1.25 and -5.25 D. 1 and -7.5 C. -1 and -5.5
Answer:
C. -1 and -5.5 is the correct answer.
What is the sign of -456 +456
Answer:
0
Step-by-step explanation:
-456 +456
( - , + ) = -
so answer is 0
Answer:
0
Step-by-step explanation:
bc i know
Mr. Olsen has a computer business in which he sells everything at 44.5% above the wholesale price. If he purchased a printer for $80 wholesale, what will be the retail price?
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.
Then the retail price is given as,
⇒ $80 x (1 + 0.445)
⇒ $80 x 1.445
⇒ $115.60
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
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What is the exact value of cot pi/3?
The exact value of the given trigonometric function cot(π/3) is √3/3.
What is the cotangent (cot)?The cotangent (cot) of an angle is defined as the ratio of the adjacent side to the opposite side of a right triangle.
Here, given that an angle of π/3, which is not a right angle.
So, we need to use the trigonometric identities to find the value of cot(π/3).
cot(θ) = 1/tan(θ)
where θ is an angle in radians.
We know that the tangent of π/3 is √3, as this is the opposite side (which is the same as the sine) divided by the adjacent side (which is the same as the cosine) of a 30-60-90 right triangle.
So, cot(π/3) can be expressed as:
cot(π/3) = 1/tan(π/3)
= 1/√3
Multiplying the numerator and denominator by √3/√3, we get:
cot(π/3) = √3/3
Therefore, the exact value of cot(π/3) is √3/3.
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1. Show that (a) exp(2±3лi) = -e²;
The given expression is proved above to its equivalent value.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is an exponential expression.
\($e^{(2\pm3\pi i)} = -e^{2}\)
We can write the given expression in two possible ways -
\($e^{2} e^{3\pi i}\) and \($\frac{e^{2} }{e^{3\pi i} }\)
Now, we know using the De - Moivre's theorem, we can write -
\($e^{i\theta} =\) cos(θ) + i sin(θ)
Now -
\($e^{3\pi i} =\) cos(3π) + i sin(3π) = - 1
So, we can write -
\($e^{2} e^{3\pi i}\) = - e²
and
\($\frac{e^{2} }{e^{3\pi i} }=\frac{e^{2} }{-1}\)
\($\frac{e^{2} }{e^{3\pi i} }=-e^{2}\)
Therefore, the given expression is proved above to its equivalent value.
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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.
To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.
The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.
Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.
To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:
£72 / 5 = £14.40
Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.
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Zachary has a container of worms for fishing. When empty, the mass of the container is 225 grams. With the worms in it, the container has a total mass of 751.4 grams. Each worm has a mass of 11.2 grams. How many worms are in the container? Write and solve an equation to model this equation.
Solving a linear equation we will see that there are 47 worms in the container
How many worms are in the container?We know that the mass of the container is 225 grams, and the mass of each worm is 11.2 grams.
Then if there are x worms on the containers, the total mass is:
M(x) = 225g + x*11.2g
In this case, we know that the total mass is 751.4 grams, then we can write:
751.4 g = 225g + x*11.2g
Solving this linear equation we get:
751.4g - 225g = x*11.2g
526.4g = x*11.2g
526.4g/11.2g = x = 47
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Which values are solutions to the inequality below?
Check all that apply.
O A. 120
O B. 19
O C. 5
O D. 567
E. 101
O F. 100
Answer:
a,d,e and f and number greater than or equal to 100.
find the area of a triangle that has sides of 5,12,and 13
Answer:
A = 30²
Step-by-step explanation:
⇒ Base on the Given:
Hypotenious= 13
Height = 12
Base = 5
⊂ Formula ⊃:
A = bh/2
→ Solve ←:
A = bh/2
A = 12×5/2
A = 60/2
A= 30²
Kavinsky
point O is the inventer of triangle ABC. what is the measure of <QBO?
Answer:
The measure of angle QBO is 12 degrees.
Step-by-step explanation:
I have taken the test. Mark me brainliest pls!!!
(True or False) the correlation coefficient is based on each observation's values' deviations from the mean for both variables.
The correlation coefficient mostly based on all the observation's values' with the deviations from about the mean for both variables. So, it's true.
A correlation coefficient is a statistical degree of the diploma to which modifications to the cost of 1 variable are expecting extrade to the cost of another. In definitely correlated variables, the cost will increase or decreases in tandem. A correlation coefficient is a variety of among -1 and 1 that tells you the electricity and path of a courting among variables.
In different words, it displays how comparable the measurements of or greater variables are throughout a dataset. Both quantify the path and electricity of the connection among numeric variables. When the correlation (r) is negative, the regression slope (b) might be negative. When the correlation is positive, the regression slope might be positive.
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Which statement is true about the points shown on the number line?
Option B is a correct representation of the given number line, -3.8 < 1.5, and is located to the left of 1.5.
What is a number line?A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is thought to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers.
Given a number line and two points marked on it,
-3.8 and 1.5
we find from the number line that -3.8 lie left to 1.5,
and the negative numbers are always less than the positive numbers,
so -3.8 is less than 1.5,
-3.8 < 1.5, and lie left to 1.5.
Hence, option B is correct.
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Bag A contains 6 red marbles and 4 green marbles. Bag B contains 9 black marbles and 3
orange marbles. Find the probability of selecting one green marble rom bag A and one black marble from bag B
A) 2/9
B) 1/3
C) 2/5
D) 3//10
The probability that the choosing one green marble from bag A and one black marble from bag B is 0.3
According to the statement
we have to seek out that the probability that the selecting one green marble from bag A and one black marble from bag B.
So, For this purpose, we all know that the
Probability is that the ratio of the amount of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the whole number of possible outcomes.
From the given information:
The probability that the selecting one green marble from bag A and one black marble from bag B = 1/4+1/9
The probability that the selecting one green marble from bag A and one black marble from bag B =0.138.
So, The probability that the selecting one green marble from bag A and one black marble from bag B is 0.138.
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your class is taking a field trip. you can travel in school district buses and chartered buses. a school bus holds 50 people and a chartered bus holds 40 people. 400 people are going on the trip. write an equation that models this situation.
How can you check to see if two fractions are equivalent please explain
Answer:
cross multiply and they should equal the same
Step-by-step explanation:
This should be some simple math with some steps but i really need help beause i dont understand the problems
g(a) = 2a - 4
h(a) = 3a- 3
Find (g o h)(10)
A) 50
B) 44
C) -75
D) 45
Answer: i think its D
Step-by-step explanation:
A certain amount of foodstuff will be consumed 15 persons in 4 days. How long will it take if it is shared among 6 persons eating at the same rate
the Answer is: 10 days