Answers
Therefore the answer is the second from the top: c + a =109. c = a +15.
Related Questions
9, 21, 7, 11, 13, 21, 5, 14, whats the range?
Answers
Your Question(s):
[tex]9, 21, 7, 11, 13, 21, 5, 14,[/tex]
Whats the range?
My Answer(s):
First, we need to figure out what range is. The range is The difference between the lowest and highest values. So, we need to order the numbers from least to greatest. So order the numbers as:
5, 7, 9, 11, 13, 14, 21, 21.
Then subtract the lowest number from the biggest number:
[tex]21 - 5 = 16[/tex]
So, 16 is your range!
Hope I helped,
♥ Sir Chub-Chubs.
Which of the following expression expressions is equivalent to cos3x/sinxcosx?
A.) cscxcos2x-secxsin2x
B.) secxcos2x-cscxsin2x
C.) secxcosx-cscxsinx
D.) cscxcosx-secxsinx
Answers
cos3x/(sinxcosx)
we know that
cos(3x) can be written as
cos(2x +x)=[cos2x*sinx-sin2x*cosx]
Using this value of cos(3x) in given equation
[cos2x*sinx-sin2x*cosx]/(sinxcosx)
[cos2x*sinx]/(sinxcosx)-[sin2x*cosx]/(sinxcosx)
[cos2x]/(cosx)-[sin2x]/(sinx)---------> secx*cos2x-csecx*sin2x
the answer is the option B.) secxcos2x-cscxsin2x
Will give brainliest if correct
The value of a stock share in a new technology company has been increasing at a rate of 8.6% quarterly. The initial price of one share was $102.15. An investor plans to sell once the value of one share reaches $233.10.
If t is the number of quarters since the initial price of one share was set, which equation could be used to determine how long it will take the share to reach $233.10, assuming it continues to grow at the same rate?
A. 102.15 = 233.10(0.086)t
B. 102.15 = 233.10(0.914)t
C. 233.10 = 102.15(1.86)t
D. 233.10 = 102.15(1.086)t
Answers
It should be written as 233.10 = 102.15(1.086)^t
The t has to be an exponent because you are multiplying the investment by 1.086 repeatedly each quarter. We used 1.086 because we added on 8.6% (or 0.086) to the investment.
The correct equation to use is D. 233.10 = 102.15(1.086)^t, which represents how the value of the share increases over time assuming consistent growth. The growth factor is represented by (1.086)^t as the share is increasing by 8.6% quarterly.
Explanation:The correct equation to determine how long it will take for the share to reach $233.10 is D. 233.10 = 102.15(1.086)^t.
This equation represents a classic compound interest formula that describes how an investment grows over time, where 102.15 is the initial share price, 1.086 is the quarterly growth rate (1+8.6%), and t is the number of quarters.
The equation shows that the future value, $233.10, is equal to the initial value, $102.15, multiplied by the growth factor, (1.086)^t, raised to the number of quarters.
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A rug shaped like a rectangle has a width of 3 m. the length of the rug is 2 m greater than its width. what is the perimeter of the rug in meters
Answers
rectangle has 4 sides
2 lengths and 2 breadths
the width is the breadth
so it's 3x2= 6m
the leanght
it's 2m greater than width so it's (3+2)x2= 10m
so the perimeter is the total length of all sides therefore it's 10+6= 16m
it's pretty easy one could just
(3x2)+((3+2)2)= 16m
Scott is beginning racquetball at a club. his equipment will cost $67.95, the fees are $70 membership plus $5.50 per hour for 40 hours, and he will make 30 trips at $1.34 per trip. what are his total costs?
Answers
Total cost = $398.15
Answer: Total cost will be $398.15.
Step-by-step explanation:
Since we have given that
Cost of his equipment = $67.95
Cost of membership fees = $70
Cost of per hour =$5.50
For 40 hours,
Cost will be [tex]5.50\times 40=\$220[/tex]
Cost of per trip = $1.34
Cost for 30 trips will be
[tex]1.34\times 30=\$40.2[/tex]
According to question,
[tex]\$67.95+\$70+\$220+\$40.2=\$398.15[/tex]
Hence, total cost will be $398.15.
Help Me plz Im stuck
Which is the counterexample to the following conjecture?
If a number is divisible by 3, it must also be divisible by 9.
A.18
B.54
C.21
D.27
Answers
21 is divisible by 3 but not by 9.
The appropriate selection is C. 21
If the circumference of a circle is 12.56 ft, what is the length of the diameter? use 3.14 for Ï.
Answers
3.14D = 12.56
D = 12.56/3.14
D = 4
the length of the diameter is 4 ft
Final answer:
To determine the diameter of a circle with a circumference of 12.56 feet using π as 3.14, divide the circumference by π resulting in a diameter of 4 feet.
Explanation:
The student has asked to find the length of the diameter of a circle if the circumference is 12.56 ft using 3.14 for π (Pi). The formula for the circumference C of a circle is C = π * d, where d is the diameter of the circle. To find the diameter, we rearrange the formula to d = C / π. Substituting the given values, we get:
d = 12.56 ft / 3.14
After dividing the circumference by pi, we find that:
d = 4 ft
Therefore, the length of the diameter is 4 feet.
When Katie was born her mother invested $5000 in an account for her college savings. The interest rate is 3.5% compounded annually. To represent this, we can use the formula V = 5000(1 + r)t where r represents the interest rate and t represents the time in years. How much will Katie have in her account when she turns 18
Answers
Remember to turn the rate into a decimal by moving the decimal place to the left twice. Also remember that t is an exponent.
A 12 sided die, numbered 1 to 12 is rolled. Find the probability that the roll results in an odd number or number less than 4
Answers
Answer:
6/12+3/12-2/12=.583
Step-by-step explanation:
6/12 amount of odd numbers
3/12 numbers less than 4
2/12 the amount of numbers that overlap
The probability that the roll results in an odd number or number less than 4 is 3/4.
Given that, a 12 sided die, numbered 1 to 12 is rolled.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Total number of outcomes = 12
Odd numbered sides = {1, 3, 5, 7, 9, 11} = 6
Number less than 4 = {1, 2, 3} = 3
Probability of getting an odd number = 6/12
Probability of getting a number less than 4 = 3/12
So, probability = 6/12 + 3/12
= 9/12
= 3/4
Therefore, the probability that the roll results in an odd number or number less than 4 is 3/4.
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Jeanette purchased a concert ticket on a website.The original price of the ticket was $75.She used a coupon code to receive a 20% discount.The website applied a 10% service fee to the discounted price.Jeanettes ticket was less than the original price by what percent?
Answers
Find discounted price.
Discounted $= original $ - (original $ * % discount)
Discounted $= $75 - ($75 * 20%)
Discounted $= 75 - 15
Discounted $= $60
STEP 2:
Find discounted $ plus service fee.
Price plus fee= discounted $ + (discounted $ * service fee %)
Price plus fee= $60 + ($60 * 10%)
Price plus fee= 60 + 6
Price plus fee= $66
STEP 3:
Find % change.
% change formula= (new # - original #) ÷ original # x 100
% change= (66-75)÷ 75 x 100
% change= -9 ÷ 75 x 100
% change= -0.12 x 100
% change= -12%
***the negative indicates a decrease
ANSWER: Her ticket was less than the original by 12%.
Hope this helps! :)
Holly wants to save money for an emergency. Holly invests $1500 in an account that pays an interest rate of 6.75%. How many years will it take for the account to reach $7300?
Answers
which equals t=24.23
The brightness of a light bulb in watts, is a type of which Data?
Nominal Qualitative
Ordinal Qualitative
Discrete Quantitative
Continuous Quantitative,
Answers
The brightness of a light bulb in watts is considered continuous quantitative data as it represents measurable amounts that can vary and take on any value within a range.
The brightness of a light bulb, measured in watts, represents the power it uses and is an example of quantitative data. Since wattage can take on any positive value and is not restricted to whole numbers (for example, a bulb can be rated at 60.5 watts), it is considered to be continuous quantitative data. Unlike discrete data, which involve counts that must be whole numbers, continuous data can include any value within a range. Hence, when comparing the brightness of light bulbs by their wattage, one is dealing with continuous quantitative data.
Pleaseee hellpppppppppp
Answers
4x = 3x + 10
isolate the x to find the value of x
4x (-3x) = 3x (-3x) + 10
4x - 3x = 10
x = 10
Check:
4(10) = 40
3(10) + 10 = 30 + 10 = 40 (True)
10 is your answer for x
hope this helps
Which of the following best describes how to measure the spread of the data?
Answers
Final answer:
To measure the spread of data, you can use the range, variance, or standard deviation, which respectively measure the absolute difference between extremes, the average squared deviation from the mean, and the average deviation from the mean in the same units as the data.
Explanation:
The question refers to the methods used to measure the spread of data in a dataset. The spread, or variability, indicates how much the data points in a set differ from each other and from the central measures like the mean. There are several ways to quantify this spread, including:
The range, which is the difference between the largest and smallest values in the set.
The variance, which is the average of the squared differences from the mean.
The standard deviation, which is the square root of the variance and provides a measure of spread in the same units as the data.
Knowing the spread of data helps in understanding the distribution and consistency of the dataset, which is essential for statistical analysis.
Find the greatest Greatest Common Factors of the following Monomials:
44b^5 and 36b
Answers
44b^5 = 2 * 2 * 11 * b * b * b * b * b
36b = 2 * 2 * 3 * 3 * b
There are two 2s that each of them have.
There is one b that each of them have.
Greatest common factor = 2 * 2 * b
4b <<<< answer
2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work
Would the measure of angle B be x for this??
Answers
On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.
m<A+m<C=180 Substitute the given values for angles A and C
x+2+x-2=180 Combine like terms
2x=180 Divide by 2 in both sides to isolate x
x=90
Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.
m<D=x-10 Substitute the value of x
m<D=90-10 Combine like terms
m<D=80
m<B=180-m<D Substitute the value of angle D
m<B=180-80 Combine like terms
m<B=100
The measure of angle B is 100 degrees, and the value of x is 90.
helppppppppppppppppppppppppppppppppppppppppp
Answers
Number of shaded triangles in the second figure = 3
Number of shaded triangles in the third figure = 9
If we observe these values, we can conclude that a Geometric Series is being formed.First number is multiplied by 3 to get the second number and second number is multiplied by 3 to get the third number. So the summation can be expressed using the Geometric Series.
The summation uses the general term to express the sum over the interval. So first we find the general term of geometric series.
First term of the series = 1
Common ratio = 3
So, the general term of the series will be: [tex]1(3)^{n-1} [/tex]
This general term gives the terms of given geometric series for different values of n. For n = 1, we will have the first term which will is 1. Similarly for n=2, we will have the second term which is 3.
So the summation will start with first term and end on 15th term. Therefore, correct summation for this case is expressed by first option.
Which of the following circles have their centers in the second quadrant? Check all that apply.
A. (x - 5)2 + (y - 6)2 = 25
B. (x + 1)2 + (y - 7)2 = 16
C. (x - 4)2 + (y + 3)2 = 32
D. (x + 2)2 + (y - 5)2 = 9
PLEASE HELP AND EXPLAIN!!!,
Answers
(x - xc)² + (y - yc)² = r²
The second quadrant is the one that has negative x coordinates and positive y coordinates.
This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.
B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.
C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.
D) (x + 2)² + (y - 5)²= 9
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.
Therefore, the correct answers are B and D.
What is the value of k
Answers
in triangle sum of angles =180
so
4k+5+6k+10+65=180
10k+80=180
10k=180+80=260
k=260/10
k=26
33 POINTS!!
3. A savings account has a 3% interest rate.
(a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12
(b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work
Answers
A) 100*.03= $3
400*.03= $12 12/.03 =400
50*.03=$1.50
300*.03=$9
B) multiply .03*200=$6 and .03*150=$4.50 then subtract 6.00-4.50=$1.50 difference.
Hope this helps
The answer is in the file attached.
Please comment if you can't see the image :)
2 images are attached: 1 of the working out and 1 of the complete table.
Have a nice day!
(also, I didn't do part b sorry!)
Dan is 30 years older than Jake. In 8 years Dan will be 4 times Jake's age. How old is Jake now?
Answers
Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. find the probability of the indicated result. 20) both marbles are red.
Answers
At which angle will the hexagon rotate onto itself?
60°
90°
120°
180°
Answers
So the hexagon will role onto the angle 60.
The optimum angle at which a projectile should be launched to cover maximum distance is 45°. This angle gives the projectile the greatest range by maximizing the time of flight.
Explanation:The optimum angle at which a projectile should be launched in order to cover the maximum distance is 45°. This launch angle gives the projectile the greatest range.
To understand why this angle is optimal, we can consider that the motion of a projectile can be divided into two independent components: horizontal and vertical. The range of a projectile is maximized when the time it spends in the air is maximized. At a launch angle of 45°, the horizontal and vertical components of the projectile's velocity are equal. This means that the time of flight is maximized, resulting in the maximum range.
For example, if a projectile is launched at a shallower angle, such as 30°, the vertical component of the velocity is decreased, reducing the time of flight and therefore the range. Similarly, if the projectile is launched at a steeper angle, such as 60°, the horizontal component of the velocity is decreased, again reducing the time of flight and range.
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Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.
I know that since both functions are quadratic functions, they will both have a parabola shape.
Answers
_____
The thrust of this question is to get you to recognize that adding a constant to a function shifts its graph in the amount and direction of the constant value (positive ⇒ upward).
How can you tell when a quadratic equation has no real solutions?
A. when the radicand is negative
B. when b in the quadratic formula is greater than the radicand
C. when the radicand equals zero
D. when the radicand is not a perfect square
I believe the answer is A? is that right?
Answers
-1/6 + 2/3 ( 9 + - 3/4) + - 1/2
Answers
-1/6 + 2/3(8 1/4) + -1/2
Then multiply 2/3 by 8 1/4.
-1/6 + 5 1/2 + -1/2
Add -1/2 to 5 1/2.
-1/6 + 5
Add 5 to -1/6.
4 5/6 is the fully simplified answer.
Hope this helps!
which is less -12.05 or -12.5
Answers
Which equation represents y = −x^2 − 10x − 20 in vertex form?
Answers
.. y = -(x +5)^2 +5
What is the rule for the transformation above?
A. (x' , y') = (-x - 6 , -y + 1)
B. (x' , y') = (x - 6 , -y + 1)
C. (x' , y') = (x - 6 , y - 1)
D. (x' , y') = (-x + 6 , -y - 1)
Answers
solve for p. 50,000= (25,000*p)/(100-p)
Answers
50000=25000*p/(100-p)
50000(100-p)=25,000p
5,000,000-50,000p=25,000p add the 50,000
5,000,000=50,000p+25,000p
5,000,000=75,000p
p=5,000,000/75,000
p=66.66
aprox