Answer:
64.6
Step-by-step explanation:
127.6-63=64.6
Margo borrows $1900, agreeing to pay it back with 3% annual interest after 13 months. How much interest will she pay?
Answer:
61.75
Step-by-step explanation:
1900x0.03x1.08333333=61.75
Complete the input-output table for the function
y= 4+ [2 – 41 – 4
Input
Output
-2
-1
0
1
2
Answer:
-257
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 30, 35, 40
Answer:
The sequence is increasing by 5 at each step. So, we can write:
a1 = 30
a2 = 30 + 5 = 35
a3 = 30 + 25 = 40
a4 = 30 + 35 = 45
a5 = 30 + 4*5 = 50
We notice that the nth term is given by:
an = 30 + (n-1)5
So, the explicit formula for the nth term is:
an = 25n + 5
Find the midpoint M of the line segment Joining the points P = (-8, -7) and Q = (6,-3).
M=(?,?)
Answer:
i don't know, but you got this!!
Consider the probability statements regarding events A and
B below.
P(A or B) = 0.3
P(A and B) = 0.2
P(AB) =0.8
What is P(B)?
A) 0.1
B) 0.375
C) 0.25
D) 0.667
The calculated value of the probability of B is (c) 0.25
How to calculate the probability of BFrom the question, we have the following parameters that can be used in our computation:
P(A or B) = 0.3
P(A and B) = 0.2
P(A/B) =0.8
First, we have
P(A/B) = P(A and B)/P(B)
Substitute the known values in the above equation, so, we have the following representation
0.2/P(B) = 0.8
So, we have
P(B) = 0.2/0.8
Evaluate
P(B) = 0.25
Hence, the probability of B is 0.25
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Fran and Jill made a new years resolution to ride bikes. Fran rode 40 miles last week
and plans to ride 55 miles per week. Jill rode 70 miles last week and plans to ride 45
miles per week. Predict the week in which Fran and Jill will have ridden the same
number of miles.
A.) 4 weeks
B.) 3 weeks
C.)They will never ride the same number
D.) 5 weeks
If Fran and Jill made a new years resolution to ride bikes. it will take 3 weeks for Fran and Jill to have ridden the same number of miles..
How to find the number of weeks?Let's assume that it takes "x" number of weeks for Fran and Jill to ride the same number of miles.
In the first week, Fran rides 40 miles, and Jill rides 70 miles.
In the "x"th week, Fran will have ridden a total of 40 + 55x miles.
In the "x"th week, Jill will have ridden a total of 70 + 45x miles.
For Fran and Jill to ride the same number of miles in "x" weeks, we need to solve the following equation:
40 + 55x = 70 + 45x
Simplifying this equation, we get:
10x = 30
x = 3
Therefore, it will take 3 weeks for Fran and Jill to have ridden the same number of miles.
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Which angle in AXYZ has the largest measure?
Answer:
X
Step-by-step explanation:
Trust me or its cannot be determined
(x-4)3/4 = 27
solve for x
Answer:
40
Step-by-step explanation:
Lets put the 3/4 at the beginning and expand this bracket :
3/4(x-4) = 27
3/4x - 3 = 27
Now we add 3 to both sides :
3/4x = 30
Now we times both sides by 4 :
3x = 120
Now we divide both sides by 3:
x = 40
Hope this helped and brainliest please
help please!
find the value of x so that the figures have the same perimeter it’s number 11
The value of x that makes the perimeter of the rectangles the same is 7.
How to find perimeter of a figure?The perimeter of a figure is the sum of the whole sides of the figure.
In other word, the perimeter of a shape is defined as the total length of its boundary.
The two figures are rectangle. Let's find the perimeter of the rectangles as follows:
The question says let's find the value of x that makes the perimeter the rectangles the same.
perimeter of a rectangle = 2(l + w)
where
l = lengthw = widthTherefore,
2(x + x + 3) = 2(14 + x - 4)
2(2x + 3) = 2(10 + x)
4x + 6 = 20 + 2x
4x - 2x = 20 - 6
2x = 14
divide both sides by 2
x = 14 / 2
x = 7
Therefore, the value of x is 7
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Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.When three coins are tossed, the probability of getting three tails is 1/8. Suppose
you get $6 if you get three tails and lose $2 otherwise. Calculate the expected
value.
The predicted relationship between X is $0.375. Let X be the random variable representing the winnings from this game. We know that: If three tails are obtained, the winnings are $6.
If three tails are not obtained, the winnings are -$2.
The probability of getting three tails is 1/8. Therefore, the probability of not getting three tails is:
P(not getting three tails) = 1 - P(getting three tails) = 1 - 1/8 = 7/8
Now we can calculate the expected value of X using the formula:
E(X) = (winnings from getting three tails) * P(getting three tails) + (winnings from not getting three tails) * P(not getting three tails)
E(X) = ($6) * (1/8) + (-$2) * (7/8)
E(X) = $0.375
Therefore, the expected value of X is $0.375.
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if solid line is the parent function, f(x) Which of the following dotted line graphs shows the translation f(x)=f(x)+1? the translation f(x)=f(x)+1
Answer:
The graph that shows the translation f(x) = f(x) + 1 is the graph that is shifted upward by one unit on the y-axis. All the points on the graph have been moved upward by one unit, but the shape of the graph remains the same as the parent function.
The dotted line graph that shows the translation f(x) = f(x) + 1 is the one where the graph is shifted upward by one unit on the y-axis.
solve 3(x+4)-11=28 please
Answer:
\(\huge\boxed{\sf x = 9}\)
Step-by-step explanation:
Given equation:3(x + 4) - 11 = 28
Add 28 to both sides3(x + 4) = 28 + 11
3(x + 4) = 39
Distribute3x + 12 = 39
Subtract 12 from both sides3x = 39 - 12
3x = 27
Divide both sides by 3x = 27/3
x = 9\(\rule[225]{225}{2}\)
Four classmates collect data by conducting a poll. They
ask students chosen at random how many days a week
they stay after school for clubs.
• Zach interviews 100 students.
• Alyssa interviews 65 students.
• Olivia interviews 75 students.
• Ryan interviews 45 students.
Whose results are probably the most trustworthy?
A. Ryan's
B. Olivia's
C. Zach's
D. Alyssa's
Answer:
C, he interviewed the most people.
Brainliest please!
Answer:
C. Zach's
Step-by-step explanation:
Luisa is solving an equation on the bottom of a page. The corner of the page where the
equation is written is torn off as shown below.
7(x + 3) = 7(x + 5)
Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solu-
tions. What must be the missing number?
A 2
B 14
C 21
D 35
To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:
7x + 21 = 7x + 35
Subtracting 7x from both sides, we get:
21 = 35
This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.
However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.
Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:
7(5 - 3) = 14
Therefore, the missing number is 14, which corresponds to answer option B.
how does temperature affect the speed of chemical reactions
Answer: When a chemical is heated, its temperature increases.
Explanation:
When its temperature increases, the reactants have more kinetic energy so the frequency of effective collision increases, resulting in a faster rate of chemical reaction.
Solve the equation by completing the square. x^2 + 12x + 36 = 0 x = [?]
Answer:
x = - 6
Step-by-step explanation:
x² + 12x + 36 = 0 ( subtract 36 from both sides )
x² + 12x = - 36
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = - 36 + 36
(x + 6)² = 0 ( take square root of both sides )
x + 6 = \(\sqrt{0}\) = 0 ( subtract 6 from both sides )
x = - 6
Abe has a different spinner. He also wants to develop a probability model. How will his probability model be the same as, and how will it differ from, Jenna’s model?
Abe's model is similar to Jenna's model in the number of possible outcomes in the sample space, and in that the P(white) = 1/2.
How to find the probability?Given - Abe has the following spinner:
(the image below)
Jenna's spinner had 3 white sections, 1 yellow section, 1 blue section, and 1 red section.
To find - How his probability model will differ from Jenna's model?
This question can be answered by observing differences and similarities between Jenna's and Abe's spinners in terms of the sample space and probabilities of each color.
The models differ in that, the probability of the two events is the same in Abe's model, but the probability of all four events in Jenna's model is not the same.
Step 1
In Abe's spinner, the Sample space, S is three white sections and three blue sections adjacent to each other.
The list of events and their probabilities is:
P(white) = 1/2
P(blue) = 1/2
Thus, Abe's model is similar to Jenna's model in the number of possible outcomes in the sample space, and in that the P(white) = 1/2.
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Trigonometry, Need Help please!!
The value of cos(2α + β) using trigonometric identities is; -1.0155
How to solve trigonometric Identities?We are given;
α = sin⁻¹(4/5)
β = tan⁻¹(12/5)
Thus;
sin α = 4/5
tan β = 12/5
From trigonometric ratios, we can say that;
cos α = 3/5
sin β = 12/13
cos β = 5/13
We know from trigonometric identities that cos (a + b) = cos a cos b - sin a sin b.
Thus;
cos(2α + β) = cos 2α cos β - sin 2α sin β
Thus;
cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))
= 0.4615 - 1.477
= -1.0155
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Find the cost of 300ml if costs 35p.
In linear equation, 11.6 is the cost of 300ml.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations whose variables have a power of one are called linear equations. A single variable example with real values for a and b and x as the variable is ax+b = 0.
100ml is equal to 1 liter.
300/100 = 3
35/3= 11.6
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An investigation of a number of automobile accidents revealed the following information:
18 accidents involved alcohol and excessive speed.
26 involved alcohol.
12 accidents involved excessive speed but not alcohol.
21 accidents involved neither alcohol nor excessive speed.
How many accidents were investigated?
Answer:
59 accidents were investigated.
Step-by-step explanation:
The question above is a probability question that involves 2 elements: causes of accidents.
Let
A = Alcohol
E = Excessive speed
In the question, we are given the following information:
18 accidents involved Alcohol and Excessive speed =P(A ∩ E)
26 involved Alcohol = P(A)
12 accidents involved excessive speed but not alcohol = P( E ) Only
21 accidents involved neither alcohol nor excessive speed = neither A U B
We were given P(A) in the question. P(A Only) = P(A) - P(A ∩ E)
P(A Only) = 26 - 18
= 8
So, only 8 accident involved Alcohol but not excessive speed.
The Total number of Accidents investigated = P(A Only) + P( E only) + P(A ∩ E) + P( neither A U B)
= 8 + 12 + 18 + 21
= 59
Therefore, 59 accidents were investigated.
The temperature changes from 9°F to −5°F. Which of the following expressions model the distance on the thermometer between 9°F and −5°F? Choose all the correct answers.
Answer:
wouldnt it be 13? and do you have have ps3
∫\(\frac{xdx}{(x^{2}+4)^{3} }\)
Substitute \(u=x^2+4\) and \(du=2x\,dx\). Then the integral transforms to
\(\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}\)
Apply the power rule.
\(\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C\)
Now put the result back in terms of \(x\).
\(\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}\)
Help help me help help please help help me help help you get it done and how fast you get it out of your chest
Answer:
i think it's (-5,-1,1,2,4,5)
Simplify the following expression: 2(c-8)
Answer:
2c-16
Step-by-step explanation:
Multiply what is inside the parentheses by 2.
what is 1/10 - 13/14
Answer:
0.828
hope it helps........
Answer:
-29/35
Step-by-step explanation:
i hope this helps
A. BC, BA, DA, DC
B. AB, BD, DC, CA
C. AB, AC, AD, BD
D. BC, CD, DA, AD
Select all the expressions equivalent to (0.5p+7)+(0.3p-6)
Answer:0.8p+1 and 1+0.8p
Step-by-step explanation:
0.5p+0.3p=0.8p
7-6=+1
0.8p+1
and
Swap both numbers
(0.5p+7)+(0.3p-6)=1+0.8p
What is the largest three-digit number divisible by 5, 6, and 21?
Answer:
840
Step-by-step explanation:
You can divide by 5 and get 168
840/6 = 140
840/21 = 40
Answer:
The largest 3 digit number divisible by 5, 6, & 21 is 840.
List all subset of{5,6}
The subsets of {5, 6} are
• { } (empty set)
• {5}
• {6}
• {5, 6}