Answer: b
Step-by-step explanation:
3^2 + x^2 = 9^2
9 + x^2 = 81
x^2 = 72
x = sqrt(72)
27 mm converted to in m
1.063 inches
0.027 meters
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PLEASE HELP................
1. The scale factor here in the dilation is 4/3.
2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.
What is dilation?During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:
A rise in an object's size is referred to as expansion.
Contraction is the term used for a reduction in size.
Here in the question,
The coordinates of the point B change from (-3,6) to (-4,8).
The scale factor here is -4/-3=4 or 8/6=4/3.
Now, when the dilation happens below the plane, the coordinates will be (x,-y)
So, the dilation factor will be -4/3.
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What is the principal if...
Rate = 22%
Time
1 year
Interest = $110
Answer:
P = $500
Step-by-step explanation:
SI = P×R×T/100
P = (SI × 100)/R×T
P = 110×100/22×1
= $ 500
-1/4 plus 3/5
Answer or else
The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.
To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.
The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:
-1/4 = -5/20
3/5 = 12/20
Now that the fractions have the same denominator, we can add them:
-5/20 + 12/20 = (-5 + 12)/20 = 7/20
Therefore, -1/4 + 3/5 is equal to 7/20.
To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.
Thus, the final answer is 7/20.
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MIDDLE SCHOOL
Which gives the percent of increase from 60 to 75?
A. 20%
B. 25%
C. 40%
D. 45%
Answer:
20% I'm pretty sure
S= hp + 2B.
h = height
p = perimeter of base
b = area of base
Solve for h and b
The equation solved for the variable are;
h = S- 2B/p
b = S - hp/2
How to determine the equationsTo determine the equation, we need to know that the subject of formula for an equation is described as the variable that is made to stand on one end of the equality sign.
It is the variable that is being worked out.
From the information given, we have that;
S= hp + 2B.
To make the height with the variable 'h' the subject, we have;
collect the terms
hp = S - 2B
Divide by the coefficient
h = S- 2B/p
For b, we have;
S - hp = 2b
divide by the coefficient
b = S - hp/2
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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12. Kaitlyn got a score of 228.4; this version has a mean of 206 and a standard deviation of 28. Cade got a score of 7.88; this version has a mean of 7.2 and a standard deviation of 0.4. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Due to the higher z-score, Cade should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Whoever had the higher z-score.
Reyna:
Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12.
This means that \(X = 75.3, \mu = 69.3, \sigma = 12\)
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{75.3 - 69.3}{12}\)
\(Z = 0.5\)
Kaitlyn:
Kaitlyn got a score of 228.4; this version has a mean of 206 and a standard deviation of 28.
This means that \(X = 228.4, \mu = 206, \sigma = 28\)
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{228.4 - 206}{28}\)
\(Z = 0.8\)
Cade:
Cade got a score of 7.88; this version has a mean of 7.2 and a standard deviation of 0.4. This means that \(X = 7.88, \mu = 7.2, \sigma = 0.4\)
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{7.88 - 7.2}{0.4}\)
\(Z = 1.7\)
Due to the higher z-score, Cade should be offered the job.
a line y=mx+5 passes through the point 1,6 and is parallel to y=4x+6 what is the value of b
A y= -1/4x+2
B y=1/4x+5
C y=4x+2
D y=4x+5
The equation of the straight line would be -
y = 4x + 5.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a line y = mx + 5 that passes through the point (1, 6) and is parallel to y = 4x + 6.
The general equation of a straight line is given by -y = mx + c
Here - {m} is slope and {c} is y - intercept.Equation of the line is -
y = mx + 5
It is parallel to -
y = 4x + 6
Then -
m = 4 {slopes of || lines are equal)
So, we get the equation as -
y = 4x + 5
Therefore, the equation of the straight line would be -
y = 4x + 5.
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\(12.5=n-1.5\)
Answer:
n=14
Step-by-step explanation:
12.5=n-1.5
-n=-1.5-12.5
-n=-14
n=14
what is the average rate of change of the exponential function g(x) = 2^x - 1 between x=3 and x=7?
The average rate of change of g(x) = 2^x - 1 between x = 3 and x = 7 is: 30.
How to Find the Average Rate of Change of a Function?To find the average rate of change of a function, use the formula below:
Average rate of change = g(b) - g(a) / b - a.
Given the following:
g(x) = \(2^x - 1\)Interval: x = 3 to x = 7Therefore:
a = 3
g(a) = \(2^3 - 1\) = 8 - 1
g(a) = 7
b = 7
g(b) = \(2^7 - 1\) = 128 - 1
g(b) = 127
Substitute the values into the formula:
Average rate of change = (127 - 7) / 7 - 3
= 120/4
Average rate of change = 30
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Answer: the answer is 30, i took the test.
what is the slope? pls help
Answer:
0
Step-by-step explanation:
Since the line is horizontal and it isn't moving up or down and is in a still motion, the slope would be 0.
May I please have brainliest? Thank you!
inverse of a*b=ab/2
ab/2=a*b
i think if not please let me know
Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas.
The only possible value of "a" that satisfies the given equations is a = 5.
The possible values of "a" that satisfy the given equations, let's solve the system of equations:
a + ab = 250 ---(1)
a - ab = -240 ---(2)
We can solve this system by using the method of substitution. Rearranging equation (2), we get:
a = ab - 240 ---(3)
Substituting equation (3) into equation (1), we have:
(ab - 240) + ab = 250
2ab - 240 = 250
2ab = 250 + 240
2ab = 490
ab = 490/2
ab = 245
Now we have the value of "ab."
We can substitute this back into equation (3) to solve for "a":
a = (245) - 240
a = 5
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Please answer this correctly
Answer:
Step-by-step explanation:
The 50 people might be random, depending on when the question was done.
The 50 people might be random if there's roughly the same number of men as women, but to accomplish this, Isabella would have to pick a time when men would be out shopping.
The 16 are certainly not random, and the question itself is kind of biased. I would say the answer should be no.
Find the probability of no successes in six trials of a binomial experiment in which the probability of success is 30%.
Answer: 0.02655
Step-by-step explanation:
Explanation: The formula for finding the probability of no successes in a binomial experiment is given by (1 - p)^n, where p is the probability of success in a single trial and n is the number of trials. In this case, p = 0.30 and n = 6. So, the probability of no successes is (1 - 0.30)^6 = 0.02655.
Find the missing value round your answer to the nearest cent
Remember that
The simple interest formula is equal to
\(I=P\left(rt\right)\)where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is the Number of Time Periods
in this problem we have
P=$19,000
r=3%=0.03
t=3 years
substitute in the formula above
\(\begin{gathered} I=19,000(0.03*3) \\ I=\$1,710 \end{gathered}\)Simple interest is $1,710Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
The value x in the secant line using the Intersecting theorem is 4.
What is the value of x?Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.
From the figure:
First sectant line segment = ( x - 1 ) + 5
External line segment of the first secant line = 5
Second sectant line segment = ( x + 2 ) + 4
External line segment of the second secant line = 4
Using the Intersecting secants theorem:
5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )
Solve for x:
5( x - 1 + 5 ) = 4( x + 2 + 4 )
5( x + 4 ) = 4( x + 6 )
5x + 20 = 4x + 24
5x - 4x = 24 - 20
x = 4
Therefore, the value of x is 4.
Option C) 4 is the correct answer.
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PLS HELP I WILL MARK BRAINILEST
Answer:
Let's assume the original price of the stock was x.
When the company announced it overestimated demand, the stock price fell by 40%.
So, the new price of the stock after the first decline was:
x - 0.4x = 0.6x
A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.
So, the new price of the stock after the second decline was:
0.6x - 0.6(0.6x) = 0.24x
Given that the current stock price is $2.40, we can set up the equation:
0.24x = 2.40
Solving for x, we get:
x = 10
Therefore, the stock was originally selling for $10.
You can sand 4/9 square yard of wood in 1/2 hour. How many square yards can you sand in 3.2 hours? Justify your answer.
Answer:
4/9 = 1/2 x
Step-by-step explanation: 2.84 sands
∠X = 89°, ∠Y = 90°, ∠Z = ?
∠X = 89°, ∠Y = 90°, ∠Z = 40° ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°
→ (2b+6)+(3b-1)=90----> 5b+5=90----> 5b=85----> b=17°
→ ∠Z=2b+6---- 2*17+6-----> ∠Z=40°
→ ∠Y=3b-1---> ∠Y=3*17-1---> ∠Y=50°
angle Y and W are supplementary angles
so
→ ∠Y+∠W=180---------> ∠W=180-∠Y------> ∠W=180-50----> ∠W=130°
angle X and Z are supplementary angles
so
→ ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°
Therefore, the answer is
∠Z=40°
Mathematic desmos
6.7 Readiness Check
Write point P as a fraction and as a decimal.
Fraction
Decimal
The coordinates of P when written as a fraction and as a decimal, is:
Fraction - (3/4, 5/6)Decimal - (0.75, 0.83 )How to convert to fractions ?Point P has the coordinates of ( 3/4 , 5/6 ) which means that it is already in fraction form as it has both a numerator and a denominator for the x and ya values.
We can then convert these fractions to decimal form as shown :
x - value : 3 ÷ 4 = 0.75
y - value : 5 ÷ 6 = 0.83
In decimals, it is:
(0.75, 0.83)
In conclusion, as a fraction, point P is ( 3 / 4, 5 / 6 ), and as a decimal, point P is ( 0.75, 0.83 ).
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PLEASE HELP IF YOU CAN!!! 100 POINTS
Combined, there are 182 Asians, Africans, Europeans, and Americans in a village. The number of Asians exceeds the number of Africans and Europeans by 59. The difference between the number of Europeans and Americans is 14. If the number of Africans isdoubled, their population exceeds the number of Europeans and Americans by 16. Determine the number of Asians, Africans,Europeans, and Americans in this village.
Answer:
Asians - 114, Africans - 28, Europeans - 27, Americans - 13Step-by-step explanation:
Let
Asians - a, Africans - b, Europeans - c, Americans - dEqautions as per question
Combined, there are 182 Asians, Africans, Europeans, and Americans in a village.
a + b + c + d = 182The number of Asians exceeds the number of Africans and Europeans by 59.
a = b + c + 59The difference between the number of Europeans and Americans is 14.
c - d = 14 ⇒ c = d + 14If the number of Africans isdoubled, their population exceeds the number of Europeans and Americans by 16
2b = c + d + 16 ⇒ 2b = d + 14 + d + 16 ⇒ 2b = 2d + 30 ⇒ b = d + 15Substitute a, b and c into the first equation and solve for d
(b + c + 59) + b + c + d = 182d + 15 + d + 14 + 59 + d + 15 + d + 14 + d = 1825d + 117 = 1825d = 182 - 1175d = 65d = 65/5d = 13Find the other variables
b = 13 + 15 = 28c = 13 + 14 = 27a = 28 + 27 + 59 = 114We found that
Asians - 114, Africans - 28, Europeans - 27, Americans - 13What are the coordinates of the image a ABC after a dilation with center (0,0) and a scale factor of 3? Explain how you got your answers.
Answer:
1) List the coordinates ΔABC
A(2,2) , B(4,6), C(6,2)2) State the rule of dilation
(x,y) → (3x,3y)3) Apply the rule:
A´. (2,2) A´(3(2),3(2)) =A´(6,6)B´. (4,6) B´(3(4),3((6)= B´(12,18)C´. (6,2) C´(3(6),3(2))=C´(18,6)Ans: A´(6,6) B´(12,18)C´(18,6)
-----------------------------
hope it helps...
have a great day!!
Answer:
A(6,6) B(12,18)C (18,6)
Step-by-step explanation:
hope it helps you...
pls answer all the questions
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Step-by-step explanation:
Daisy works at an ice cream parlor. She's paid $10/hr. For first 8hrs she works in a day for every extra hr she is paid 1.5x her hourly wage if daisy works x hours in a day and x is > 8 expression giving her net earnings for the day is _. If daisy works 13 hrs she is paid _
Daisy would be paid $155 if she works 13 hours in a day.
If Daisy works for up to 8 hours in a day, she is paid a flat rate of $10 per hour, so her earnings for the day would be:
Earnings = 10 × 8 = $8
If Daisy works for more than 8 hours in a day, then her earnings for the extra hours are calculated at a rate of 1.5 times her hourly wage, which is $15 per hour.
So, if Daisy works x hours in a day, where x is greater than 8, then her net earnings for the day can be expressed as:
Earnings = 80 + (x - 8) × 15
This expression takes into account the first 8 hours of work, which are paid at a flat rate of $10 per hour, and the extra hours, which are paid at a rate of $15 per hour
If Daisy works 13 hours in a day, then her net earnings for the day would be:
Earnings = 80 + (13 - 8) × 15 = 80 + 5 × 15 = $155
So Daisy would be paid $155 if she works 13 hours in a day.
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How do you change a fraction to a decimal?
Group of answer choices
Divide the numerator by the denominator
Move the decimal over 2 places
Change the denominator to 100
Divide the denominator by the numerator
Answer:
it is the answer number 1
. a) A cylinder has diameter 4cm and height 14cm. Find; i. the circumference of the base. ii. the area of the base. iii. the volume of the cylinder. [Take π=22/7]
The measures of the cylinder that has a diameter of 4 cm and height of 14 cm are:
i. circumference of the base = 6.29 cm.
ii. area of the base = 12.57 cm²
iii. volume = 176 cm²
What is the Volume of a Cylinder?The volume of a cylinder is calculated using the formula given as, volume (V) = πr²h, where:
h is the height of the cylinder.r is the radius of the cylinder.π is a constant which is given as 22/7.Given the following:
Diameter of cylinder = 4 cmRadius of the cylinder (r) = 1/2(diameter) = 1/2(4) = 2 cmHeight of the cylinder (h) = 14 cm.i. The circumference of the base of the cylinder = πr = (22/7) * 2 = 44/7 = 6.29 cm.
ii. The area of the base of the cylinder = πr² = 22/7 * 2² = 88/7 = 12.57 cm²
iii. Volume of the cylinder = πr²h = 22/7 * 2² * 14 = 176 cm²
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Polynomials
(7n^4-14 - 5n^3) (7-8n^3 + 11n^4)
Answer:
\(\boxed{22n^8-16n^7-140n^4+112n^3-98}\)
Step-by-step explanation:
\((7n^4-14 - 5n^3) (7-8n^3 + 11n^4)\)
According to the distributive property, each term multiplies each of the terms in the other equation. Therefore, we can do the following:
\(\begin{aligned}\Rightarrow &7n^4 (7-8n^3 + 11n^4)= 49n^4-56n^3 n^4+77n^4n^4 \\&=49n^4-56n^7+77n^8 \end{aligned}\)
\(\begin{aligned}\Rightarrow &-14 (7-8n^3 + 11n^4)\\& = -98+112n^3-154n^4 \end{aligned}\)
\(\begin{aligned}\Rightarrow &-5n^4 (7-8n^3 + 11n^4)= -35n^4+40n^3n^4-55n^4n^4 \\&=-35n^4+40n^7-55n^8 \end{aligned}\)
Next, we combine all the terms of the plynomial equation:
\(49n^4-56^7+77n^8-98+112n^3-154n^4-35n^4+40n^7-55n^8\)
common factor:
\(22n^8-16n^7-140n^4+112n^3-98\)
By this, we have solved the exercise.
\(\text{-B$\mathfrak{randon}$VN}\)
P^P is a
statement.
Select one:
O Null
O Contingent
Tautology
O Contradiction
O Contradiction
hope it helps you
 The volume of a cylinder is 282.6 ft. The height is 10 feet. What is the radius?
Answer:
r ≈ 3
Step-by-step explanation:
Using the formula:
V = \(\pi r^{2} h\)
Rearrange to make r the formula:
r = \(\sqrt{\frac{V}{\pi h} }\)
r = \(\sqrt{\frac{282.6}{10\pi} }\)
r ≈ 2.99924
r ≈ 3