A is the answer, since it satisfies both inequalities
what is Bethany's score on the test if she answered 23 out of 30 right?
part:
whole:
percent:
Answer: 76.67%
Step-by-step explanation:
Solve for x 15+5x=20x
Answer:
Step-by-step explanation:
15+5x=20x
-5x -5x => Subtract 5x from each side
You get
15 = 15x
Divide both sides by 15
1=x
Find the equation of the line that satisfies the conditions given in each of the following: 1. Through (3, 2) and (5, 7) 2. Through (-3, 4), m = 2 3. m = -3, b = 5 4. x-intercept = 3, y-intercept
The equation of each line that satisfies the given conditions are:
1. y - 2 = 5/2(x - 3)
2. y - 4 = m(x + 3)
3. y = -3x + 5
What is the Equation of a Line?If we know the slope (m) and the y-intercept (b) of a line, we can write the equation of the line as y = mx + b in slope-intercept form.If we know the point (a, b) and the slope (m) of the line, we can write the equation of the line in point-slope form as y - b = m(x - a).1. Given the points, (3, 2) and (5, 7), find the slope (m):
Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)
m = 5/2
Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):
y - 2 = 5/2(x - 3)
2. Given:
A point = (-3, 4)
Slope (m) = 2
Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):
y - 4 = m(x + 3) [equation of the line]
3. Given:
Slope (m) = -3
Y-intercept (b) = 5
Substitute m = -3 and b = 5 into the equation y = mx + b:
y = -3x + 5
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Trong 300 người bệnh chỉ dùng thuốc A có 55% người khỏi; trong 240 người bệnh chỉ dùng thuốc B có 50% người khỏi. Với mức ý nghĩa 5% có thể nói thuốc A hiệu quả hơn thuốc B không?
vâng vì phụ nữ là những người tán gẫu
Solve each equation by using the square root property. 2x^2–3=7.
Explanation
\(2x^2-3=7\)
Step 1
add 3 in both sides
\(\begin{gathered} 2x^2-3=7 \\ 2x^2-3+3=7+3 \\ 2x^2=10 \\ \end{gathered}\)Step 2
divide both sides by 2
\(\begin{gathered} 2x^2=10 \\ \frac{2x^2}{2}=\frac{10}{2} \\ x^2=5 \\ \end{gathered}\)Step 3
then take the square root of both sides and solve for the variable
\(\begin{gathered} x^2=5 \\ \sqrt[]{x^2}=\text{ }\pm\sqrt[]{5} \\ x=\pm\sqrt[]{5} \end{gathered}\)For any positive integer n, the length of n is defined as the number of prime factors whose product is n. For example, the length of 75 is 3, since 75 = 3 * 5 * 5. How many two-digit positive integers have length 6?
A. None
B. One
C. Two
D. Three
E. Four
2 numbers are possible, 64 and 96.
Therefore, option (c) is correct.
We can solve this question using trial and error method.
Given, an integer n's length is the number of prime factors whose product is equal to n.
Since we have to find a two-digit positive integer whose length is 6:
Let us take 2 as our first prime factor (as 2 is a prime number)
2*2*2*2*2*2 = 64.
Here, we have got 1 number with length 6.
Let us take 3 as our 2nd prime factor (as 3 is a prime number).
3*3*3*3*3*3 = 96.
Here, we have got 2 numbers with length 6.
Now, let us try:
2*2*2*2*2*3 = 144
Since we need only 2 digit numbers, this is not possible.
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What is the difference between the sum of the measures of the interior angles in an octagon and the sum of the measures of the interior angles in a
hexagon?
540 degrees
180 degrees
360 degrees
720 degrees
PLS ANSWER IF YOU KNOW!!!
Does anyone know how to Simplify: 8-2
Answer: 6
Step-by-step explanation: simplify is basically solving........
solve for x
19.
20.
21.
22.
23.
24.
Answer:
I hope I helped sorry l didn't understand question number 19
The difference between a number x and 12 is 17.
Answer:
5
Step-by-step explanation:
x+12=17
17-12=5
Answer:
Step-by-step explanation:
x + 12 = 17
x = 17-12
x = 5
or
x - 12 = 17
x = 17 + 12
x = 29
An experienced computer technician can set up a network in 12 hours. It would take an intern 20 hours to set up the same network. What is the rate of the experienced technician?
A.) 1/12
B.) x/12
Answer:
in my own opinion the answer is is 1/12
To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due
north. To get from home to his friend Cooper's house, Jaden would have to walk 6.3
kilometers due east. What is the straight-line distance between Akira's house and Cooper's
house? If necessary, round to the nearest tenth.
The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)
Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)
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2/7+2/3= ????? this is so confusing
Answer:
Work shown below!
Step-by-step explanation:
\(\frac{2}{7} +\frac{2}{3}=\frac{6+14}{21}=\frac{20}{21}\)
Answer:
20/21
Step-by-step explanation:
2/7*3=6/21
2/3*7=14/21
6/21+14/21=20/21
15 POINTS!!!
Based on a life insurance company's past data, each year an average of 1/90 policy holders
make a claim of $250; 1/100 policy holders make a claim of $12,000, and 1/400 make a claim
of $17,000. What would the insurance company have to charge per policyholder to break
even?
Answer:
1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165. So that's what the premium would have to be in order to get a profit of 0.
2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.
3. The expected profit on 375 policies would be 375 * 185 = $69375
Step-by-step explanation:
26,30,45,43,26,14,28,33,56,29,what is the mean absolute deviation of the data set
Answer: 9.
Step-by-step explanation: To find the MAD (mean absolute deviation) we need to do the following steps below:
1. Find the mean.
2. Subtract the mean from the numbers of the data.
3. Add the results and divide to find the MAD.
The steps are done below:
1. Find the mean: In order to find the mean of a data set, you need to add all the numbers and then divide the result by how many numbers there are in the data set. In this problem, there are 10 numbers in the data set, so whatever we get for adding the data numbers together needs to be divided by 10.
26 + 30 + 45 + 43 + 26 + 14 + 28 + 33 + 56 + 29 = 330.330 / 10 = 33.2. Subtract the mean from the numbers of the data: To do this, we need to subtract 33 from all the numbers on the data. The following is done below. (*Note: You may notice that most equations like 26 - 33 would be in the negatives, but for data, it has to be positive. If you ever run into a situation like that, you simply just make it positive).
26 - 33 = 7.30 - 33 = 3.45 - 33 = 12.43 - 33 = 10.26 - 33 = 7.14 - 33 = 19.28 - 33 = 5.33 - 33 = 0.56 - 33 = 23.29 - 33 = 4.3. Add the results and divide to find the MAD: Now that we have the results, we add those numbers and then divide to find the MAD. Make sure that when you divide that it is 10 that you're dividing because once again, there are 10 numbers for the results.
7 + 3 + 12 + 10 + 7 + 19 + 5 + 0 + 23 + 4 = 90.90 / 10 = 9.Therefore, 9 is the MAD.
Let me know if this is right! :)
You are saving for an emergency fund totaling six months' worth of expenses as well as investing 20% of each paycheck for retirement. If your monthly expenses amount to $1,465 and you want to put aside 30% of each month's expenses for your emergency fund and you earn $2,650 each month. how much do you need to set aside each month for your emergency fund and retirement savings?
You need to set aside each month for an emergency fund and the retirement amount is $970.
What is an emergency fund?An emergency fund is separate savings account to cater to the following unplanned situations:
Unplanned expensesAn illnessThe loss of a job.It is prudent to have up to 6 months' salary in an emergency fund.
Monthly salary = $2,650
Monthly expenses = $1,465
Emergency fund = 30% of expenses
= $440 ($1,465 x 30%)
Retirement savings = 20% of the salary
= $530 ($2,650 x 20%)
Total amount to set aside each month = $970 ($440 + $530)
Thus, for your retirement and emergency fund, you need to set aside $970 monthly.
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The horizontal cross section of a pentagonal prism is a _______?
Answer:cross section
Step-by-step explanation:
A pentagonal prism is sliced with a plane parallel to the base. This means that the cross section is a pentagon that is congruent to the base. The area of the cross section is 15 square inches.
plz rate this
Answer:
pentagon
Step-by-step explanation:
A pentagonal prism is sliced with a plane parallel to the base. This means that the cross-section is a pentagon that is congruent to the base.
A restaurant customer left $2.20 as a tip. The tax was 4% and the lip was
20% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What
was the total bill?
Answer:
The tax percentage is not needed because the tip was based off the after tax price.
The the total bill was $11
$2.20 divided by 20% = $11
Or
$11 x 20% = $2.20
Step-by-step explanation:
Write an equation in point-slope form for the line that has a slope of 4/5 and contains the point (−5,−3).
The equation in point-slope form for the line that has a slope of 4/5 and contains the point (−5,−3) is; y = 4x/5 + 7
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form
Where x₁ - x coordinate, y₁ - y coordinate, m - slope
Point (−5,−3)
Then Slope m =4/5
Now Write the equation as;
(y-3)=4/5(x+5)
y = 4x/5 + 7
Hence, the equation in point-slope form is; y = 4x/5 + 7
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anwser it pls aaaaaaaassaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
Volume = Bh
Turn the shape so the trapezoid is on the bottom/base
h=18 for overall shape
B = area of base, trapezoid
B = 1/2 (b₁ + b₂) h
b₁ = 11
b₂ = 25
h = 24 for trapezoid
B = 1/2 (11 + 25)(24)
B = 432
V = Bh
V = (432)(18)
V= 7776 in³
the base of s is a circular disk with radius 5r. parallel cross-sections perpendicular to the base are squares.
The volume of the solid is 250r³ when the base of s is a circular disk with radius 5r.
Given that,
We have to discover the described solid's volume, v. The parallel cross-sections perpendicular to the base of s are squares, and the base of s is a circular disk with radius 5r.
We know that,
A cylinder is a solid with square cross sections parallel to the bases and circular bases. Its height is equal to the base circle's diameter.
The radius = 5r,
So the height = diameter = 10r
Volume of the cone is base × height= πr²×h
=π(5r)²×(10r)
=250πr³
Therefore, The volume of the solid is 250r³ when the base of s is a circular disk with radius 5r.
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Prove that if n is an odd integer, then n^2 + 1 is an even integer.
Answer:
n=3
9+1=10
n=1
1+1=2
n=5
25+1=26
a odd interger squared is a odd interger so if you add one its even
Hope This Helps!!!
Solve for x. 5 = 2x − 3
Answer:
\(5 = 2x - 3 \\ 2x = 5 + 3 \\ 2x = 8 \\ x = \frac{8}{2} \\ x = 4\)
hope helpful <3"
Answer:
-4
Step-by-step explanation:
2X= -5 -3
2X= -8
X= -8/2
X= -4
Please help if you can
1) The lower limit of the confidence Interval is: 1489.77.
The upper limit of the confidence Interval is: 1530.23
2) The lower limit of the confidence Interval is: 1478.32
The upper limit of the confidence Interval is: 15411.68
How to find the confidence Interval?The formula to find the confidence interval is:
CI = x' ± z(σ/√n)
where:
CI is confidence interval
x' is sample mean
z is z-score at confidence level
σ is standard deviation
n is sample size
1) The parameters are:
σ = $234
x' = $1510
n = 362
z at 90% CL = 1.645
Thus:
CI = 1510 ± 1.645((234/√362)
CI = 1510 ± 20.23
CI = (1489.77, 1530.23)
2) The parameters are:
σ = $234
x' = $1510
n = 362
z at 99% CL = 2.576
Thus:
CI = 1510 ± 2.576((234/√362)
CI = 1510 ± 31.68
CI = (1478.32, 15411.68)
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Darren earned $663.26 in net pay for working 38 hours. He paid $128.51 in federal and state income taxes, and $66.75 in FICA taxes
What was Darren's hourly wage?
A. $22.28
B. $22.59
C. $23.87
D. $24.63
Answer:
$22.28
Step-by-step explanation:
$663.26 + 118.51 +
= $846.52
Darren hourly Wage = Total earning/ # of hours
Darren Hourly wage = 846.52 / 38
= $22.28
Kit made contributions to a Roth IRA over the course of 30 working years. contations average $2.000 in the exact she
on the account was 6. Upon retirement, stopped working and making Roth IRA Contributions stead been on trommet
tax bracket. Factoring in taxes, what is the effective value of Roth IRA a brement assume annual compounding (3)
O $287.432.74
$305.432.74
$240 335.88
O $298 232.74
Answer: the third i think
WILL GIVE BRAINLIEST PLEASE HELP!
The correct statement regarding the angle measures is given as follows:
m < 1 + m < 4 > m < 3.
How to obtain the angle measures?The given angle measure is as follows:
m < 3 = 119º.
Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.
Hence the measure of angle 4 is given as follows:
m < 4 + m < 3 = 180º.
m < 4 = 180º - 119º
m < 4 = 61º.
Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:
m < 1 = m < 4
m < 1 = 61º.
Hence:
m < 1 + m < 4 = 2 x 61
m < 1 + m < 4 = 122º
122º > 119º
m < 1 + m < 4 > m < 3.
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 Hey guys, I would really appreciate if one of you help me with this question
Answer: 28.25%
Step-by-step explanation:
113/400=0.2825=28.25%
A
-6
Find the distance, d, of AB.
A = (-5, 5) B = (5, -5)
-4 -2
f
&
-2
-4
9
N
4
B
d = √|×₂ − ×₁1² + y2 - Y₁|²
d = [?]
Round to the nearest tenth.
Distance
Enter
Answer:
88
Step-by-step explanation:
Suppose f(x) =8^3x and g(x) =8^4x which of these function operations are correct select all that apply
Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:
A. (f + g)(x) = \(8^{3x} + 8^{4x}\)
B. (f × g)(x) = \(8^{7x}\)
C. (f - g)(x) = \(8^{3x} - 8^{4x}\)
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:
(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)
(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)
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