Answer:
a) x+3=19
Step-by-step explanation:
a)
x is the age of Ronald , Collin is three years older than Ronald , so if we add up x(Ronald's age) and 3(the difference between both of their ages), we would get Collin's age(19) . That is the explanation for this equation.
b)
x+3=19
x=19-3
x=16
thus , x is 16 , in other words , Ronald's age is 16.
Um, what's the value of e,
\(9e+4=-5e+14+13e\)
Hello ~
My name is Irxdscent, and I will be answering your question today! :D
→ Answer :-\(\sf{e = 10}\)
→ Explanation :-\(\sf{9e \: + \: 4 = -5 \: + \: 14 \: + \: 13e}\)
Group like terms:\(\sf{\sf{9e \: + \: 4 = -5 \: + \: 13e \: + \: 14}\)
Add similar elements: \(\sf{^-^5^e \: ^+ \: ^1^3^e \: ^= \: ^8^e}\)\(\sf{9e \: + \: 4 = 8e \: + \: 14}\)
Subtract \(\sf{4}\) from both sides:\(\sf{9e \: + \: 4 - 4 = 8e \: + \: 14 \: - \: 4}\)
Simplify:\(\sf{9e = 8e \: + \: 10}\)
Subtract \(\sf{8e}\) from both sides:\(\sf{9e \: - \: 8e = 8e \: + \: 10 \: - \: 8e}\)
Simplify:\(\sf{e = 10}\)
Hope It Helps! ~
~ Learn With Lrxdscent ~
\(\underline{Answer :}\)
ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ
Answer:
e = 10Step-by-step explanation:
In this question we are provided with an equation that is 9e + 4 = -5e + 14 + 13e . And we are asked to find the value of e .
Solution : -
\( \longrightarrow \qquad \: 9e + 4 = {-5e} + 14 + { 13e}\)
Step 1 : As there are like terms in right side . So we are solving them and get :
\( \longrightarrow \qquad \: 9e + 4 = 14 + 8e\)
Step 2 : Subtracting 4 on both sides :
\( \longrightarrow \qquad \: 9e + \cancel{4 }- \cancel{4 }= 14 + 8e - 4\)
Now , cancelling 4 with -4 and subtracting 4 from 14 :
\(\longrightarrow \qquad \: 9e = 10 + 8e\)
Step 3 : Subtracting 8e on both sides :
\( \longrightarrow \qquad \: {9e } - {8e } =10 + \cancel{ 8e} - \cancel{ 8e}\)
On further calculating , we get :
\(\longrightarrow \qquad \: \underline{\boxed{\bold{ \frak{{e = 10}}}}}\)
Therefore , value of e is equal to 10.Verifying : -
We are verifying our answer by substituting value of e in given equation. So ,
9e + 4 = -5e + 14 + 13e9 (10) + 4 = -5 (10) + 14 + 13 (10)90 + 4 = -50 + 14 + 13094 = -50 + 14494 = 94L.H.S = R.H.SHence, Verified.Therefore, our value for e is correct .
#Keep LearningTriangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 90° counterclockwise.
U′(0, −2), V′(−1, −3), W′(−3, −3)
U′(0, −2), V′(1, −3), W′(3, −3)
U′(2, 0), V′(3, −1), W′(3, −3)
U′(−2, 0), V′(−3, 0), W′(3, −3)
Answer:
The vertices of the image after rotating triangle uvw 90 degrees counterclockwise are u′(0, −2), v′(1, −3), w′(3, −3).
Step-by-step explanation:
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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For an experiment, Portia plans to roll a fair, ten-sided did and a fair, four-sided die, and then find s of the two dice
The probability that the sum of the two dice is 10 is 1/20 or 0.05.
What is the probability?The probability that the sum of the two dice is 10 is determined as follows:
Outcomes:
Ten-sided die outcomes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Four-sided die outcomes: 1, 2, 3, 4
The possible sums of 10:
(1, 9)
(2, 8)
(3, 7)
(4, 6)
(5, 5)
For the ten-sided die, there are 10 possible outcomes, so the probability of each outcome is 1/10.
For the four-sided die, there are 4 possible outcomes, so the probability of each outcome is 1/4.
The probability of each pair
(1/10) * (1/10) = 1/100
(1/10) * (1/10) = 1/100
(1/10) * (1/10) = 1/100
(1/10) * (1/10) = 1/100
(1/10) * (1/10) = 1/100
The probability of the sum of 10 will be:
(1/100) + (1/100) + (1/100) + (1/100) + (1/100) = 5/100
The probability of the sum of 10 = 1/20
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The average test score of RSM students in September increased by 10%. In October it increased by another 15%. By what percent did the average score on the test increase during the two months? PLS PROVIDE SHOW OF STEPS!
The percent that the average score on the test increased during the two months is 12.5%.
By what percent did the average score on the test increase during the two months?It should be noted that mean simply means the average of a set of numbers that are given. In this case, the average test score of RSM students in September increased by 10%. In October it increased by another 15%..
The average of the increase will be:
= (10% + 15%) / 2
= 25% / 2
= 12.5%
The average is 12.5%.
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projectile is launched straight up in the air. Its height (in feet) t seconds after launch is given by the function ft)162+432t + 4. Find its average velocity from 1.2 seconds to 13 seconds. Its average velocity is feet per second. If necessary, round to two decimal places.
The average velocity of the projectile from 1.2 seconds to 13 seconds is approximately 419.40 feet per second.
To find the average velocity of the projectile, we need to calculate the change in height over the given time interval and divide it by the duration. The height of the projectile at time t is given by the function f(t) = 162 + 432t + 4.
First, we need to find the height at the initial time, t = 1.2 seconds, by substituting t = 1.2 into the function: f(1.2) = 162 + 432(1.2) + 4 = 622.4 feet.
Next, we find the height at the final time, t = 13 seconds, using the same process: f(13) = 162 + 432(13) + 4 = 5882 feet.
The change in height over the time interval from 1.2 seconds to 13 seconds is the difference between the final and initial heights: 5882 - 622.4 = 5259.6 feet.
To calculate the average velocity, we divide the change in height by the duration: 5259.6 / (13 - 1.2) = 419.40 feet per second.
Therefore, the average velocity of the projectile from 1.2 seconds to 13 seconds is approximately 419.40 feet per second.
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the cost (in dollars) of a custom made t shirt is represented by 0.75n + 9.99, where n is the number of words in the design. write and interpret a simplified expression that represents the cost of 12 t shirts
Answer:
t=9.48n+119.88
Step-by-step explanation:
where t is the total cost of 12 t-shirts, and n is the number of words in the design
0.75n+9.99 is the equation for custom made t-shirts, and n represents the number of words in the design
t=12(0.75n+9.99)
where t is the total cost of t-shirts, and n is the number of words in the design
When simplified, this becomes t=9.48n+119.88
can i get brainliest please?
help e cause I'm stuck
Answer:
3^15
Step-by-step explanation:
3^5 means 3*3*3*3*3
3^10 means 3*3*3*3*3*3*3*3*3*3
so 3^5 * 3^10 means 3*3*3*3*3 * 3*3*3*3*3*3*3*3*3*3 = 3^15
The rule is that you can add the exponents if the base number (3) is the same.
Multiply or divide, write your answer in scientific notation.
(1.5×10^8)(5.9×10^4) =
Can you help me with this problem?
Answer:
\((1.5 \times {10}^{8} )(5.9 \times {10}^{4} ) \\ = 1.5 \times 5.9 \times {10}^{(8 + 4)} \\ = \boxed{8.85 \times {10}^{12}} \)
8.85×10¹² is the right answer.Suppose that 14 bluebirds and 11 robins are trying out for a choir that will have 7 members. How many ways can this choir be formed if it must have more bluebirds than robins?.
The number of ways this choir be formed if it must have more bluebirds than robins is 3111740
Total number of bluebirds = 14 bluebirds
Total number of robins = 11 robins
The members of the choir = 7 members
The possible combinations are
7 bluebirds = \(14C_7\) = 3432
6 bluebirds and 1 robin = \(14C_6\) × \(11C_1\) = 33033
5 bluebirds and 2 robins = \(14C_5\) × \(11C_2\) = 110110
4 bluebirds and 3 robins = \(14C_4\) × \(11C_3\) = 165165
Total combinations = 3432 + 33033 + 110110 + 165165
= 311740
Hence, the number of way this choir be formed if it must have more bluebirds than robins is 3111740
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−8 − x = x − 4x
Help Pleaseeeee
Answer:
0
Step-by-step explanation:
-8-x=x-4x
-9x=-3x
-9x+3x=0
-6x=0
x=0
Answer:
x=4
Step-by-step explanation:
-x-x+4x=8
-2x+4x=8
2x=8
x=8/2
x=4
Calculate the area and circumference of a circle with diameter 8cm
Tell me if the photo below is the answer for this question
Answer: approximately 25.13 centimeters.
Step-by-step explanation: If the diameter of a circle is 8cm, then the radius is half of that, which is 4cm. We can use this information to calculate the area and circumference of the circle as follows:
Area of circle = π * r^2
= π * 4^2
= π * 16
= 16π
≈ 50.27 cm^2 (rounded to two decimal places)
Circumference of circle = 2π * r
= 2π * 4
= 8π
≈ 25.13 cm (rounded to two decimal places)
Therefore, the area of the circle is approximately 50.27 square centimeters and the circumference is approximately 25.13 centimeters.
no picture is not right
Franchising is a popular way to grow. Subway has about 42,000 franchisees that pay 12. 5% of their annual store revenue ($417,000 average) to subway. About how much does subway collect in franchise fees?.
Total amount that Subway collect in franchise fees = $2,189,250,000
Total number of subway franchisees = 42,000
Average annual store revenue = $417,000
Total paying percentage of franchisees = 12.5%
12.5% of average revenue = (417000×12.5)÷100
= $52,125
Total subway collection in franchise fee= total number of franchisees×amount of fees per franchisees
= 42,000×52,125
= $2,189,250,000
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Since subways has about 42000 franchisees and about $417000 average revenue is earned. Therefore, the total amount that Subway collect in franchise fees is $2,189,250,000.
Subways Franchise operate 16 submarine sandwich shop and they expanded quickly with its long time slogan "East Fresh".
Franchisor gives a franchisee the authority to do business in the franchisor's trade name using its business system it is called franchising.
Subways franchises pay 12.5% every week (gross sales minus the sales tax), 8% goes toward the franchise royalties and 45% gores towards advertising.
The company has the lowest start-up costs compared to many other fast food franchises but does take more royalty and advertising money.
The franchise fee:
A franchise owner pay 12.5% of gross sales minus tax every week. They must pay even if they are losing money.8% of that 12.5% goes toward the franchise royalties and 4.5% is for advertising.Now, according to the question:
Total number of subway franchisees = 42,000
Average annual store revenue = $417,000
Total paying percentage of franchisees = 12.5%
∴ At 12.5% of average revenue = (417000 × 12.5) ÷ 100
= $52,125
Total subway collection in franchise fee
= total number of franchisees × amount of fees per franchises
= 42,000×52,125
= $2,189,250,000
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I need help please it’sGeometry
Answer:
Congruent triangles have the same perimeter so the answer is 13.
if the mpc = 4/5, then the government purchases multiplier is a. 20. b. 5/4. c. 4/5. d. 5.
If the marginal propensity to consume(mpc) = 4/5 then the government purchases multiplier is 5. Therefore, the answer is (d) 5.
What is the marginal propensity to consume(mpc)?The marginal propensity to consume (MPC) is the fraction of each additional unit of income that is spent on consumption. In other words, it is the change in consumption that results from a one-unit change in income.
What is a government purchase multiplier?The government purchases multiplier is a measure of the impact that changes in government purchases of goods and services have on the overall economy. It is the ratio of the change in the equilibrium level of real GDP to the change in government purchases.
According to the given informationThe government purchases multiplier (K) is calculated using the formula:
K = 1 / (1 - MPC)
where MPC represents the marginal propensity to consume.
In this case, the MPC is given as 4/5, so we can substitute this value into the formula:
K = 1 / (1 - 4/5)
= 1 / (1/5)
= 5
Therefore, the government puchases multiplier is 5. Therefore, the answer is (d) 5.
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Let A, B and C are events in a sample space while A and B are disjoint events. We know P ( A ) = 2 P ( B ) , P ( C | A ) = 2 / 7 , P ( C | B ) = 4 / 7. What is P ( C | ( A ∪ B ) ) ?
Answer: P ( C | ( A ∪ B ) ) = 8 / 21
Since A and B are disjoint events, we can use the formula:
P ( A ∪ B ) = P ( A ) + P ( B )
And we are given that P ( A ) = 2 P ( B ), so we can substitute this into the formula:
P ( A ∪ B ) = 2 P ( B ) + P ( B ) = 3 P ( B )
Now, we can use the formula for conditional probability:
P ( C | ( A ∪ B ) ) = P ( C ∩ ( A ∪ B ) ) / P ( A ∪ B )
We can expand the numerator using the distributive property:
P ( C ∩ ( A ∪ B ) ) = P ( ( C ∩ A ) ∪ ( C ∩ B ) )
And we can use the formula for conditional probability to rewrite this:
P ( ( C ∩ A ) ∪ ( C ∩ B ) ) = P ( C | A ) P ( A ) + P ( C | B ) P ( B )
Substituting in the given values:
P ( ( C ∩ A ) ∪ ( C ∩ B ) ) = ( 2 / 7 ) ( 2 P ( B ) ) + ( 4 / 7 ) ( P ( B ) ) = ( 8 / 7 ) P ( B )
Now we can substitute this back into the formula for P ( C | ( A ∪ B ) ):
P ( C | ( A ∪ B ) ) = ( 8 / 7 ) P ( B ) / ( 3 P ( B ) ) = 8 / 21
So the answer is:
P ( C | ( A ∪ B ) ) = 8 / 21
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Put a check by all the prime numbers.
A)3
B)5
C)21
D)15
E)11
F)10
Answer: 3, 5, and 11
Step-by-step explanation: a prime number is a number greater than 1 that is not a product of two smaller natural numbers.
The following linear regression model can be used to predict ticket sales at a popular water park.
Ticket sales per hour = -631.25 + 11.25(current temperature in degrees F).
In this context, does the intercept have a reasonable interpretation?
No, at 0°F the ticket sales would be -631.25 and it is not reasonable (or possible) to have negative ticket sales in a linear regression model for predicting ticket sales.
In the statistics, the concept of regression analysis is useful for creating a predictive model that predicts the value of a target or dependent variable using all the controlling independent or explanatory variables. Depending on the number of independent variables, regression can be called simple regression or multiple regression. We have a linear regression model that predicts ticket sales for popular water parks.
The regression line equion in this model is written as -631.25 + 11.25 (current temperature in degree F). Comparing above equation with y = a + bx, here, the interaction in the equation above means that hourly ticket sales will be -631.25 when the current temperature (in degrees Fahrenheit) is 0. This does not make sense because hourly ticket sales can be at least 0 but never a negative number. So, it is not reasonable interpretation.
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Can anyone solve this question for me urgent! With work please. Thank you!
Answer:
P = 75*
Step-by-step explanation:
Let X1, X2,..., Xn be i.i.d. random variables from a double exponential distribution with density f(x) = 1/2*λ*exp(−λ|x|). Derive a likelihood ratio test of the hypothesis H0: λ=λ0 versus H1: λ=λ1, where λ0 and λ1 > λ0 are specified numbers. Is the test uniformly most powerful against the alternative H1: λ > λ0?
ANSWERS:
positive linear
negative linear
nonlinear
no relationship
Answer:
Step-by-step explanation:
No relationship i belive
Si 2X -7 = 3, luego 3X + 1 =
(1) 4
(2)5
(3)7
(4)12
(5)16
Answer:
2x-7=3
2x=3+7
{2x=10}÷2
x=5
꧁꧁꧂꧂
3x+1=
{3x=1}÷3
x=1/3
Write these numbers in standard form.
a) 0.00004
b) 0.000 05
c) 0.000006
d) 0.000 000 000 8
Answer:
a.4×10 raised to power minus 5
b.5×10 raised to power minus 5
c.6×10 raised to power minus 6
d.8×10 raised to power minus 10
Answer:
do you mean scientific notation, I think they are already in standard form.
Step-by-step explanation:
A. 4 x 10^-5, count how many zeros before the number 4, and do the same with the rest.
B. 5 x 10^-5
C. 6 x 10^-6
D. 8 x 10^-10
Evaluate the expression for the given value of x.−4x + 7 for x = −4
Answer:
23
Step-by-step explanation:
-4x+7
-4(-4)+7=16+7=23
Answer:
23
Step-by-step explanation:
-4x + 7 =
-4(-4) + 7 =
16 + 7 = 23
In an open book the product of the page numbers is 6,162. What is the number of the right-hand page?.
The page number on the right hand side is 73.
What is a Quadratic Equation?
A quadratic equation in x is any equation of the type ax2 + bx + c = 0, where a, b, and c are coefficients and a = 0.
Solution:
Let, the number of the page on the left hand side be x
So, the number on the right hand side of the book will be (x + 1)
According to the Question,
(x)(x + 1) = 6162
\(x^{2} + x = 6162\)
x = 72 and - 79
Since, the page of book can not be negative
Therefore, the page on the left hand side is 72
This implies that the page on the right hand side is 73.
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Work out the area of the shape drawn below.
3 m
Give your answer correct to 1 decimal place.
m²
Submit Answer
The area of the shape is 14.1 m².
How to find the area of a semicircle?The given shape is a semicircle.
A semicircle is a two-dimensional geometric shape that is half of a circle. It is formed by taking a circle and cutting it into two equal parts along a diameter.
The formula for the area of a semicircle is:
A = πr²/2
Where r is the radius of the semicircle (r = 3m)
Put r = 3 m in the formula. That is:
A = πr²/2
A = (22/7 * 3²)/2
A = 14.1 m²
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2. What is the equation of the following graph? Explain how you know.
y = -6
The line is horizontal, meaning it is zero slope, and the line is located on -6, making the equation y = -6
Which point represents the approximate location of vi?
A)
point A
B)
point B
point
D
point D
Answer: the answer is A
Step-by-step explanation:
hope it helps
how many 2/3 cups can go into 9 cups
Hello there! :D
Today we're gonna learn some math, whoopie!
Alright, so we want to know how many 2/3 cups can go into 9 cups!
Firstly, I want to turn 9 cups into a fraction with the denominator of 3.
Let me do it all fancy for you:
\(9=\frac{x}{3}\)
We know we want the denominator to be three, now we just need to do the opposite action (multiplication) to the other side to find what "x" is!
\(9*3= \frac{x}{3}*3\)
If you have trouble understanding that step, let me know!
\(x=27\)
Enter that into the fraction and we have:
\(\frac{27}{3}\)
Notice that 27 is not an even number!
Now, we can the numerator of 27/3s and divide it by the numerator of 2/3s.
\(27/2=13.5\)
This is not a whole answer, but the question is asking how many 2/3 cups can go into nine cups. Half of a 2/3 cup does not equal a 2/3 cup, so the answer would be 13 cups.
I hope this helps you can you have a wonderful day,
Kai xx
The number of 2/3 cups that can go into 9 cups is \(13\frac{1}{2}\)
Total number of cups = 9
The number of 2/3 cups we can get from 9 cups = x
To get the number of 2/3 cups in 9 cups, we will divide 9 by 2/3
Number of 2/3 cups in 9 cups = 9 ÷ 2/3
Number of cups in 9 cups = 9 x 3/2
x = 27/2
x = 13.5
The number of 2/3 cups that can go into 9 cups is \(13\frac{1}{2}\)
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In the diagram below of triangle MNOP, P is the midpoint of MO and Q is the midpoint of NO. If PQ=5x+62 and MN=6x-4, what is the measure of PQ
The measure of length PQ will be 22 units.
What is the mid-point theorem?A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.
Given:
PQ = 5x + 62, and MN = 6x-4
Now, using Mid- Point Theorem
PQ= 1/2 MN
-5x+ 62 = 1/2( 6x - 4)
-5x+ 62 = 3x - 2
-5x- 3x = -2 - 62
-8x = -64
x= 8
PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22
Hence, the measure of PQ is 22 units.
The missing image is attached below.
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