Answers
Answer:
m=0 , b=41
Step-by-step explanation:
y=41y=0x+41, y=mx +by=0x+41, m=0, b=41therefore m=0, b=41Related Questions
What are m and b in the linear equation 3+4x+6+2x=y
Answers
Answer:
m = 6, b= 9
Step-by-step explanation:
Simplifying the equation, we get y = 6x + 9.
Matching this up with y = mx + b, we get m = 6 and b = 9.
Mrs. Avery is going to randomly select one student from her class to read a poem out loud. There are 151515 boys and 131313 girls in her class.
What is \text{P(boy})P(boy)start text, P, left parenthesis, b, o, y, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
Answers
The probability that a boy is selected is 0.5357 or 53.57%
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
P(boy) is asking for the probability that a boy will be chosen to read a poem out loud. Since there are 15 boys, we can get the probability by dividing this by the total number of students.
This is because out of all the students, there is an equal possibility that each of the 15 boys will be chosen.
P = ( 15 ) / ( 15+13)
P = 15 / 28
P = 0.5357
Therefore the probability that a boy is selected is 0.5357 or 53.57%
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Answer:
53.57%
Step-by-step explanation:
Solve the following subtraction problem. Remember to borrow as necessary.
9cu yd113cu in
− 4cu ft129cu in
−−−−−−−−−−−−−−−−−−−−−−
Answers
The subtraction of the expression will be 238 cubic feet, 551 cubic inches.
What is subtraction?It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
The expressions are given below.
9 cubic yd 113 cubic in and 4 cubic ft 129 cubic in
1 cubic yard = 27 cubic feet
1 cubic feet = 1728 cubic inches
Then the subtraction will be
242 cu ft 1841 cu in
− 4 cu ft 1290 cu in
238 cu ft 551 cu in
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a plane intersects a sphere 5 cm away from the center of the sphere. the cross section is a circle whose diameter is 12cm. determine the radius of the sphere
Answers
Answer:
7.81 cm
Step-by-step explanation:
diameter = 12, 12/2 = 6
(r+5)(r-5) = 6 * 6
r^2 - 25 = 36
r^2 = 61
r = 7.81
radius = 7.81 cm
Answer:
26
Step-by-step explanation:
QUESTION 8 - 1 POINT
The median monthly rent in 1994 was $499 and $633 in 2001. What was the percent increase in the
median monthly rent prices from 1994 to 2001? Round to the nearest tenth of a percent.
Answers
Answer:
26.85%
Step-by-step explanation:
first you find the difference in price increase
633-499=134
*percentage increase=increase value/original value x100
so;=134/499x100=28.85%
hope it helps you.please don't forget to give me a thanks
Samantha opened a savings account and deposited $8192. The account earns 10% in interest annually. She makes no further deposits and does not withdraw any money. In t years, she has $25,710 in this account. Write an equation in terms of t that models the situation.
Answers
The equation in terms of t that models the situation is given by
[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex].
We know that the interest on a loan or deposit that is accrued on both the initial principal and the total interest from prior periods is known as compound interest and it can be calculated as
[tex]A = P(1+\frac{r}{n})^{nt}[/tex],
where P is the initial principal, r is the rate of interest, n is the number of times interest was charged for each time period, t is the amount of time that has passed and A is the final amount.
Here, P = 8192, r = 10% = 10/100 = 0.01, n = 12 and A = 25,710
So, we can write
[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex]
Therefore the required equation is
[tex]8192(1+\frac{0.01}{12} )^{12t} = 25710[/tex]
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Two buses leave a station at the same time and travel in opposite directions. One bus travels 14 miles faster than the other. If the two buses are 640 miles apart after 5 hours, what is the rate of each bus?
Answers
If the two buses are 640 miles apart after 5 hours. Then the rate of each bus will be 57 miles per hour and 71 miles per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Two buses leave a station at the same time and travel in opposite directions.
One bus travels 14 miles faster than the other.
Let x be the speed of first bus. Then the speed of the second bus will be (x + 14).
If the two buses are 640 miles apart after 5 hours.
Then the rate of each bus will be
Then the relative speed of the buses will be
S = x + x + 14
S = 2x + 14
Then the value of x will be
2x + 14 = 640 / 5
2x + 14 = 128
2x = 114
x = 57 miles per hour
Then the speed of the other bus will be
⇒ 57 + 14
⇒ 71 miles per hour
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Large eggs weigh 1/1/2 pounds per dozen. Dawn bought eight large eggs. How much did the eggs weigh
Answers
Answer:
12
Step-by-step explanation:
1.5 is 1 1/2 in decimal form
1.5×8=12
Let f(x)=(3)^x−3. What is f(0) in fraction form?
Answers
Answer:
1/27
Step-by-step explanation:
We can substitute x=0 into the function to get:
f(0) = 3^(0-3)f(0) = 3^(-3)f(0) = 1/27Another day, another math problem
Answers
Answer:
4x+2h+5
Step-by-step explanation:
[tex]\frac{(2(x+h)^{2}+5(x+h)) - (2x^{2} +5x) }{h} \\[/tex]
For now I'm just going to ignore the denominator for simplicity
[tex](2(x^{2}+2xh+h^{2})+5x+5h) - (2x^{2} +5x)\\(2x^{2}+4xh+2h^{2}+5x+5h) - (2x^{2} +5x)\\(4xh+2h^{2}+5h)\\\\\frac{(4xh+2h^{2}+5h)}{h}\\ 4x+2h+5[/tex]
Final step just distributes the division
Which of the numbers below are whole numbers? Check all that apply.
A. 6830
B. 66
C. 717.59
D. 808
E. 42.3
F. 1/10
Answers
Step-by-step explanation:
Anything which has a decimal point is not a whole number
6830 is
66 is
717.59 is not
808 is
42.3 is not
1/10 = 0.1 ergo is not
Perform the operation and
simplify.
x² + 10x + 24
3x² + 3x
÷ (x + 6)
Answers
244x3+1474x2+63x/
x+6
Translate the phrase; then simplify. Find the sum of −45, −13, and 37.
Answers
Answer:
-21
Step-by-step explanation:
37 - 45 - 13 is translated
-8 - 13
-21
15
16
Matt had 1 pound of dog food in a bag.
He fed his puppy pound of the food.
How much dog food is left in the bag?
Give your answer in simplest form.
pound
WOOF!
Answers
Step-by-step explanation:
1/2 represents every fraction, where the denominator (bottom part) is twice the numerator (top part).
like 4/8 or 6/12 or 128/256 or ...
what do we need in the denominator to calculate with 15/16 ?
the same : 16.
and what is half of 16 ? 8.
so, we need the 1/2 based on 16th = 8/16.
so, the dog ate 8/16 (1/2) of the original 15/16.
what was left was
15/16 - 8/16 = 7/16 pound
The weight of corn chips dispensed into a 24-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 25 ounces and a standard deviation of 0.8 ounce. What proportion of the 24-ounce bags contain more than the advertised 24 ounces of chips?
Answers
The percentage of 24-ounce bags containing more than the advertised 24 ounces of chips will be -1.25.
What is the z score?The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.
Given data;
Mean,μ = 25
Standard deviation,σ=0.8
The Z score is found as;
[tex]\rm Z = \frac{x-\mu}{ \sigma } \\\\ Z = \frac{24-25}{0.8} \\\\ Z= -1.25[/tex]
The P-value for the obtained z score is .2113.
Hence the percentage of 24-ounce bags containing more than the advertised 24 ounces of chips will be -1.25.
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What negative Z-score (standard score) would the area under the curve be 0.8621
z* = _______
Answers
paul asked to order snacks for an office meeting of 180 people. she decides to order desert squares which come in boxes of 24. she estimates she will need 3.5 snacks per person. how many boxes should she buy?
Answers
Answer:
27 boxses
Step-by-step explanation:
calculations is shown in the picture
Name all the fractions that are between 12/13 and 19/20
whose NUMERATORS are one less than the DENOMINATORS.
Answers
The fractions that are between 12/13 and 19/20 are 13/14, 14/15, 15/16, 16/17, 17/18, and 18/19 total number of fractions is 6
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Fractions that are between 12/13 and 19/20 such that:
The numerator(N) is one less than the denominator(D).
N = D - 1
N = (12, 19)
D = (13, 20)
D = 14, N = 13
D = 15, N = 14
D = 16, N = 15
D = 17, N = 16
D = 18, N = 17
D = 19, N = 18
The fractions that are between 12/13 and 19/20:
N/D = {13/14, 14/15, 15/16, 16/17, 17/18, 18/19}
Thus, the fractions that are between 12/13 and 19/20 are 13/14, 14/15, 15/16, 16/17, 17/18, and 18/19 total number of fractions is 6
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f is an even function, g is an even function. a=
Answers
Answer:
a=6 it's even
Step-by-step explanation:
please mark me as brainlest
Answer:
A= 4
B= 3
i got it right.
If f(x) = 3x + 10 and g(x) = 2x - 4, find (f- g)(x).
Answers
Step-by-step explanation:
please mark me as brainlest
Use linear equation to calculate intercepts.
x minus one-half y = negative 4
Complete the table with values for a and b.
A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.
a =
b =
Answers
The x intercept of the linear equation is -4 and y intercept is 8.
Intercept of the linear equation
The intercept of the linear equation is calculated as follows;
x - y/2 = -4
make y the subject of the formula;
y/2 = x + 4
y = 2x + 8
y intercept is obtained at point, x = 0y = 0 + 8
y = 8
x intercept is obtained at point, y = 00 = 2x + 8
2x = -8
x = -4
Thus, the x intercept of the linear equation is -4 and y intercept is 8.
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Answer:
The x intercept of the linear equation is -4 and y intercept is 8
Step-by-step explanation:
The solution set to 6 + 2n > 12 is n > 3. Which are correct representations of this solution? Select two options.
{n | n < 3}
{n | n ≥ 3}
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5.
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to negative 5.
(3, ∞)
Answers
The correct representations of this solution are
(d) A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to negative 5.(e) (3, ∞)How to determine the solution set?The inequality is given as:
6 + 2n > 12
The solution is given as:
n > 3
When the above inequality is represented as an interval, we have:
(3, ∞)
Also, the inequality symbol > is represented using an open circle.
This means that the number line would use an open circle and the arrow would point right
Hence, the correct representations of this solution are (d) and (e)
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What is the answer to this question?
Y=x^2-1 with the input as 5
Answers
We can see that, when the input is 5, the output is 24.
How to evaluate an equation?
Here we have the equation:
[tex]y = x^2 - 1[/tex]
Where y is the output and x is the input.
We want to evaluate it with the input as 5, so we need to replace the variable x by the number 5, we will get:
[tex]y = 5^2 - 1 = 24[/tex]
Then we can see that, when the input is 5, the output is 24.
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Suppose that land in downtown Savannah is valued at $20 per square foot. What is
the value of a triangular lot with side lengths of 112, 148, and 190 feet?
Answers
Answer:
$165554
Step-by-step explanation: I use the Law of Cosines to find one of the angles of the triangle. Then use the formula for the area of the triangle: A = (1/2)absinC.
C= 92.856 degree
Area = (1/2)(112)(148)sin(92.856°) = 8277.7 ft^2
To find the price just need to take 8277.7 time 20 = 165554
So the answer is $165554
determined about the triangle formed by the ground,
wall, and ladder? Check all that apply.
The triangle is isosceles.
The leg-to-hypotenuse
ratio is 1:√√2.
The leg-to-hypotenuse ratio is 1:√2.
The nonright angles are congruent.
The ladder represents the longest length in the
triangle.
(A,B,D,E)
Answers
Answer:
a² b² c² equals mc² and that is the answer
what is the %rf for .04?
Answers
Find f ° g and g ° f, if they exist. f={(-4,-5),(0,3),(1,6)} and g={(-5,0),(3,-4),(6,1)}.
Answers
The composite function of f o g are (-4,-5),(0,3),(1,6). The composite function of g o f are (-5,0),(3,-4),(6,1).
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
Given;
f = {(-4,-5),(0,3),(1,6)}
g = {(-5,0),(3,-4),(6,1)}.
In order to find f o g and g o f,
f o g = f(g)
The composite function of f o g
f(-5,0) = (-4,-5)
f(3,-4) = (0,3)
f(6,1) = (1,6)
The composite function of g o f
g(-4,-5) = (-5,0)
g(0,3) = (3,-4)
g (1,6) = (6,1)
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Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.
700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
Answers
If the value of mean is 781.67, then the standard deviation will be 100. Then the correct option is C.
The complete question is given below.
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.
700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
What is the standard deviation of the data? Round to the nearest whole number.
65
75
100
130
What is a standard deviation?It is a metric for statistical information dispersion. The degree of spread indicates how much the result varies.
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan.
The list represents the approximate number of megabytes of data Grace used each month.
700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
The mean of the data will be
Mean = (700 + 735 + 680 + ...... + 820 + 750) / 12
Mean = 781.67
Then the standard deviation will be
SD² = [(700 – 781.67)² + (735 – 781.67)² + ..... + (750 – 781.67)²] / 12
SD² = 10072.2222
SD = 100.36 ≈ 100
Then the correct option is C.
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What is the range of the function represented by the following graph?
*
1 point
Captionless Image
A. all real numbers greater than 4
B. all real numbers less than - 1
C. all real numbers greater than - 6
D. all real numbers less than - 4
Answers
Answer:
C the prove is right there on the graph
Answer:
C
Step-by-step explanation:
The graph clearly shows that all the numbers are greater than -6
An entrance examination for a job consists of 25% English, 50% Mathematics, 5% Typing and 20% Accounting, and the passing mark is 50. If an applicant sat for the examination and scored 48% in English, 35% in Mathematics, 80% in Typing and 50% in Accounting, do you think she will be accepted? Why?
Answers
Answer:
No, the total is 43.5 which is below 50.
Step-by-step explanation:
English: 25% × 48 = 12
Mathematics: 50% × 35 = 17.5
Typing: 5% × 80 = 4
Accounting 20% × 50 = 10
12 + 17.5 + 4 + 10 = 43.5
Total: 43.5
Passing: 50
Answer: No. The total is too low.
