The value of x is 5, the correct option is B
What is a Trapezoid?A quadrilateral with one side parallel to the other is a Trapezoid.
The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.
In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.
The length of AB = 12.6
The length of the midline EF = 8.8
The value of x =?
From the definition,
8.8 = (12.6 + x) /2
8.8 * 2 = 12.6 +x
x = 5
Therefore,the correct option is B.
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Someone pleaseeee help me!!!! I’m stuck
Answer:
Hey there!
1/2 can also be written as 8/16.
Thus, starting from 0, count 8 tick marks, and place a point there.
3/16 is just 3/16.
Thus, starting from the 8th tick mark (where you left off in the first part) count three more tick marks to the 11th tick mark.
This shows us that 8/16+3/16=11/16.
Hope this helps :)
Answer:
so 1/2+3/16 is 11/16
Step-by-step explanation:
count the lines until u get to 11 and thts where u put the point.
hope this helps.have a good day
, evaluate and simplify.
The difference quotient of the function f(x) = 4x² - 5x is 8x + 4h - 5.
What is the difference quotient of the given function?The formula for difference quotient is expressed as:
\(\frac{f(x+h)-f(x)}{h}\)
Given the function in the question:
f(x) = 4x² - 5x
To solve for the difference quotient, we evaluate the function at x = x+h:
First;
f(x + h) = 4(x + h)² - 5(x + h)
Simplifying, we gt:
f(x + h) = 4x² + 8hx + 4h² - 5x - 5h
f(x + h) = 4h² + 8hx + 4x² - 5h - 5x
Next, plug in the components into the difference quotient formula:
\(\frac{f(x+h)-f(x)}{h}\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - (4x^2 - 5x)}{h}\\\\Simplify\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - 4x^2 + 5x)}{h}\\\\\frac{(4h^2 + 8hx - 5h)}{h}\\\\\frac{h(4h + 8x - 5)}{h}\\\\8x + 4h -5\)
Therefore, the difference quotient is 8x + 4h - 5.
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8 1/6 - 2 7/8 =
BRAINLIEST
Answer:
5 7/24
Step-by-step explanation:
Convert to improper: 49/6-23/8=254/48 which is 5 7/24
Hope this helps plz mark brainliest :D
Answer:
5 7/24≈5.292
Step-by-step explanation:
Subtract
8 1/6 -2 and 7 over 82=127 over 2
Convert mixed number to improper fraction
8 1/6= 8x6/6+ 1/6=16+7/8=23/8
Convert mixed number to improper fraction
2 7/8= 2x8/8+7/8=16+7/8=23/8
Find common denominator
49/6-69/24=196-69/24=127/24
24 is the least common multiple of denominators 6 and 8. Use it to convert to equivalent fractions with this common denominator.
Subtract
196/24- 69/24= 196-69/24=127/24
Simplify
127/24= 5 7/24
suppose we want to choose a value of x less than 4 units away from 12. think about some values of x that meet this constraint. write an inequality (or inequalities) that represents all values of x that meet this constraint. do not use absolute values.
To choose a value of x less than 4 units away from 12, we can set up the inequality:
8 ≤ x ≤ 16
This inequality states that x should be greater than or equal to 8 units less than 12 (i.e., 8) and less than or equal to 4 units more than 12 (i.e., 16). Therefore, all values of x that are less than 4 units away from 12 lie within this interval.
To see why this inequality works, we can visualize it on a number line. The number 12 is at the center of the interval, and the length of the interval is 4 units (from 8 to 12 and from 12 to 16). Any value of x within this interval will be less than 4 units away from 12. Values of x outside this interval will be farther than 4 units away from 12.
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ion expects an average annual growth rate of 16% for the next four years. If the assets currently amount to $2.7 million, what will the forecasted assets be in four years?
The forecasted assets of Ion in four years will be approximately $4.93 million.
To calculate the forecasted assets in four years, we will use the average annual growth rate of 16%. Since the growth rate is applied annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (forecasted assets)
P = Initial amount (current assets)
r = Annual interest rate (growth rate)
n = Number of times interest is compounded per year (assuming it's compounded annually)
t = Number of years
Plugging in the values:
P = $2.7 million
r = 16% or 0.16
n = 1 (compounded annually)
t = 4 years
A = 2.7 * (1 + 0.16/1)^(1*4)
A = 2.7 * (1 + 0.16)^4
A = 2.7 * (1.16)^4
A ≈ 2.7 * 1.8297
A ≈ 4.93 million
Based on the given average annual growth rate of 16% for the next four years, Ion's forecasted assets will be approximately $4.93 million. This calculation assumes the growth rate remains constant and is compounded annually.
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19 out of the 38 teachers in a school staff meeting were first-year teachers. What percentage of the teachers in the meeting were first-year teachers?
Study the food web below and answer the following :
i. In the pyramid of numbers there is an increase in numbers towards the base. Mention a pyramid where the base will be smaller.
ii. Predict the impact of removing snakes from this food web
Answer:
predict the impact of removing snakes from this food web
HELP ME ASAP PLS
Rob is saving to buy a new MP3 player. For every $13 he earns babysitting, he saves $5. On Saturday, Rob
earned $39 babysitting. How much money did he save?
If he earned $39, he saved...
Answer:
$15
Step-by-step explanation:
For every $13 he earns he saves $5
so 13×3 is 39 and then multiply 5 times 3 and you get 15
your answer is $15
Which is an equation of a line that has a y-intercept of 7 and is perpendicular to the graph of y=5x−3?
Answer:
\(y = -\frac{1}{5}x + 7\)
Step-by-step explanation:
Find the perpendicular slope:
\(-\frac{1}{5}\)
-- The y-intercept is given to you: 7
Slope-intercept form:
\(y = -\frac{1}{5}x + 7\)
suppose an atomic reactor has two independent cooling systems. the probability that cooling system a will fail is 0.02 and the probability that cooling system b will fail is 0.03 . what is the probability that both systems will fail simultaneously? round your answer to four decimal places, if necessary.
0.0006 .
The probability that both systems of an atomic reactor will fail simultaneously is 0.0006.
This is calculated by multiplying the probability of cooling system A failing (0.02) by the probability of cooling system B failing (0.03) which results in 0.0006, rounded to four decimal places.
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HURRY PLEASE I ONLY HAVE A MINUTE LEFT IM BEING TIMED!!!
A restaurant earned a profit of $175,000 in its first year of operation. After taxes were paid, $122,499 was left. How much money did the restaurant pay in taxes?
a.
$297,499
c.
$52,501
b.
$52,511
d.
$122,499
Answer:
$52,501
Step-by-step explanation:
You need to subtract $122,499.
Line r passes through the points (6,6) and (-3,3). Which equation represents a line that is perpendicular to line r?
I need help with 9 and 10
the equation line perpendicular to r is y = 3x +12.
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
The eqaution of the line r passing through (6,6) and (-3,3)
y-3 = (\(\frac{3-6}{-3-6}\)) (x+3)
y-3 = -1/3 (x+3)
So the slope is -1/3
For a line perpendicular, the slope will be 3.
So the equation of the line perpendicular can be written as y-3 = 3(x+3)
or y = 3x +12
Hence the equation line perpendicular to r is y = 3x +12.
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Consider a Markov chain with state space S = {1, 2, 3, 4, 5, 6} and transition probability matrix P = [ 0 0.5 0 0.1 0.4 0]
[ 0 1 0 0 0 0 ]
[ 0.3 0 0.2 0.1 0 0.4]
[0 0.7 0 0 0.3 0 ]
[0 0 0 0 1 0]
[0 0 0 0 0 1 ]
(a) Compute Pˣ. (b) If the process starts in state 3, what are the probabilities that it will be absorbed in state 2, state 5, and state 6, respectively?
a)Pˣ = \(\begin{bmatrix}0.1 & 0.5 & 0.04 & 0.28 & 0.03 & 0.05\\0 & 1 & 0 & 0 & 0 & 0\\0.22 & 0 & 0.33 & 0.17 & 0.1 & 0.19\\0.7 & 0 & 0.43 & 0.3 & 0 & 0.57\\0 & 0 & 0 & 0 & 1 & 0\\0 & 0 & 0 & 0 & 0 & 1\end{bmatrix}\) in matrix form, using eigen-values.
b)state 2 is 0.75; state 5 is 0 and ;state 6 is 0.25.
a)In order to calculate the value of Pˣ, follow the below-given steps:
Step 1: Compute the eigen-values of the matrix P.
Here, we get λ = 1, λ = 0.6, λ = 0.4, λ = 0.1, λ = 0, λ = 0.
Step 2: Compute the eigen-vectors corresponding to each eigenvalue of the matrix P.
Step 3: Compute the diagonal matrix D and the transition matrix T. \(\begin{matrix}1 & 0 & 0 & 0 & 0 & 0\end{matrix}0.6\)
\(\begin{matrix}0.58 & 0.25 & 0.72 & 0 & 0 & 0\end{matrix}0.4.\)
\(\begin{matrix}0.07 & 0 & 0.04 & 0.7 & 0 & 0\end{matrix}0.1.\)
\(\begin{matrix}0.35 & 0.75 & 0.56 & 0 & 1 & 0\end{matrix}0.\)
\(\begin{matrix}0 & 0 & 0 & 0.3 & 0 & 1\end{matrix}\)
Pˣ = T . Dˣ . T⁻¹
We get the following matrix as a result.
Pˣ = \(\begin{bmatrix}0.1 & 0.5 & 0.04 & 0.28 & 0.03 & 0.05\\0 & 1 & 0 & 0 & 0 & 0\\0.22 & 0 & 0.33 & 0.17 & 0.1 & 0.19\\0.7 & 0 & 0.43 & 0.3 & 0 & 0.57\\0 & 0 & 0 & 0 & 1 & 0\\0 & 0 & 0 & 0 & 0 & 1\end{bmatrix}\)
b)If the process starts in state 3,
the probability that it will be absorbed in state 2 is 0.75,
the probability that it will be absorbed in state 5 is 0, and
the probability that it will be absorbed in state 6 is 0.25.
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20% of a number is 12.
what is the whole number?
Answer:
60 that is the answer
Step-by-step explanation:
Can someone pls pls help me pls
Answer:
610004
Step-by-step explanation:
Answer:
Smith: 534,400
Jones: 403,000
Williams: 279,200
A - 1,216,500
B - 135,280
C - There are 534,400 cakes, 402,489 donuts, and 279,150 cookies in a bakery. The baker wants to know if they round each number up, about how many tasty treats she has? To do this you round each number up and then you add them together and get your answer.
Step-by-step explanation:
Solve the system below for x and y in terms of a and b.
\(ax+y=7\\3x-y=b\)
Adita has two options for how to invest $1,000. Plan A: Put the $1,000 in an account that pays $100 per year. Plan B: Put the $1,000 in an account that pays 5 percent interest per year. Which statement is true? Plan A will be worth more than plan B after two years. Plan A will be worth the same amount as plan B after one year. Plan B will be worth more than plan A after three years. Plan B will be worth more than plan A after four years.
Answer:
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
The correct answer is Plan A will be worth more than plan B after two years.
Step-by-step explanation:
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
Plan A will be worth more than plan B after two years.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, WE get;
For Plan A,
1000 dollars to be invested in an account that pays 100 dollars per year.
Hence, We get;
(1000 + 100 = 1100 dollars in a year
For Plan B;
1000 dollars to be invested in an account that pays 5% interests per year
So, WE get;
(1000 x 0.05 = 50
Hence, Total in a year,
= 1000 + 50
= 1050 dollars per year)
Thus, the correct answer is,
⇒ Plan A will be worth more than plan B after two years.
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Compute f′(a) algebraically for the given value of a. f(x)=−7x+5;a=−6
The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.
To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.
This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.
Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:
f(x) = −7x + 5
⇒ f′(x) = d/dx (−7x + 5)
⇒ f′(x) = d/dx (−7x) + d/dx(5)
⇒ f′(x) = −7(d/dx(x)) + 0
⇒ f′(x) = −7⋅1 = −7
Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7
Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.
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Which side lengths form a right triangle?
Choose all answers that apply:
5, V8,33
8, 15, 17
© V2,V2,2
Answer:
8, 15, 17 and \(\sqrt{2} , \sqrt{2}, 2\)
Step-by-step explanation:
\(c=\sqrt{a^2+b^2}\)
\(33=/=\sqrt{5^2+\sqrt{8}^2 }\)
\(17=\sqrt{8^2+15^2}\)
\(2=\sqrt{\sqrt{2}^2+\sqrt{2}^2 }\)
Which inequality represents the given situation? No more than 47 beds are in the hospital.
beds in the hospital > 47
beds in the hospital < 47
beds in the hospital ≤ 47
beds in the hospital ≥ 47
Answer:
beds in the hospital ≤ 47
Step-by-step explanation:
No more 47 means not greater than 47.
But can be = to 47 or less than it.
A fan is marked up 40% on the original price. The original price was $20. What is the new price of the fan before sales tax
An estimator is ________________ if the expected value of the estimator is exactly equal to the parameter that it is estimating.
An estimator is unbiased if the expected value of the estimator is exactly equal to the parameter that it is estimating. So, the answer is unbiased.
An estimator is said to be unbiased if, on average, it provides an estimate of a population parameter that is exactly equal to the true value of the parameter. if we were to take many samples from the same population and compute the estimator for each sample, the average of these estimators would converge to the true population parameter.
Unbiased estimators are considered to be desirable, as they provide an estimate that is not systematically too high or too low, and thus can be used to make accurate inferences about the population. However, some estimators may be biased, meaning that they tend to overestimate or underestimate the population parameter on average, and thus may not provide accurate estimates.
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PLS PLS SOMEONE HELP ME WITH THIS QUESTION!!!! WILL MARK THE BEST ANSWER BRAINLIEST
Answer:
H)
Step-by-step explanation:
1/7 in decimal form has no three's.
The milligrams of aspirin in a person's body is given by the equation a = 500 ⋅ (3/4)t , where t is the number of hours since the patient took the medicine. How much aspirin will be in the person's body after two hours?
Answer:
a = 281.25 mg after two hours
Step-by-step explanation:
Here, we want to get the amount of aspirin that will be present after two hours
what we simply do here is to substitute 2 for t
Thus, we have it that;
a = 500(3/4)^2
a = 500•(0.75)^2
a = 281.25 mg
here is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 7 /9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. how many red marbles there must be.
The number of students enrolled at a college is 13,000 and grows 4. 01% every year since 2017. If the trend continues, how many students expect to be enrolled at that college by 2027?
By 2027, there will be 17,983 students enrolled at the college.
What we can say with certainty is that by 2027, there will be 17,983 students enrolled at the college. We can calculate the enrollment in ten years using the formula P = P0(1+r)^t, where P0 is the initial value, r is the annual growth rate, and t is the time in years. Since the college had 13,000 students enrolled in 2017 and has grown at a rate of 4.01% each year since then, the formula would look like this:P = 13,000(1+0.0401)^10P = 13,000(1.0401)^10P ≈ 17,983. So, by 2027, there will be 17,983 students enrolled at the college.
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What is the to m(3 +m)
Answer:
3m+m^2
Step-by-step explanation:
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
solve the inequality 3≤7+g
Answer:
-4 less than or equal to g
Step-by-step explanation:
I'm pretty sure this is the answer please let me know if i'm wrong :3
please solve quickly
Area of a circle = πr^2
Area of a sector with angle x° = (x/360) πr^2
For the smaller sector,
x = 30°
r = 6 in
Required area of sector = (30/360) × π × 6^2 = 9.424 in^2
To the nearest hundreth, Area = 9.42 in^2
Can you help me explain
Answer:
ok, so forget the addition sign is there and because it's -2 do 9 - 2 which equals 7 there simple explanation
Step-by-step explanation:
hope this helps!