The measurement shows that the base of the triangle is approximately 7 cm
while the height is approximately 9cm
The area of the triangle is given by
\(\text{Area = }\frac{1}{2}\text{ x base x height}\)\(\begin{gathered} \text{Area =}\frac{1}{2}\text{ x 7 x 9} \\ \text{Area = }\frac{63}{2}cm^2 \\ \\ \text{Area = 31.5cm}^2 \end{gathered}\)Option D is the closest to the answer
Anne thinks of a number. Brenda also thinks of a
number. Anne multiplies her number by Brenda's
and then squares the answer. If a represents Anne's
number and b represents Brenda's number, which
expression represents her answer?
Anne's number is a
Brenda's number is b
_________________________________
Anne multiplies her number by Brand's :
\(a \times b\)
_________________________________
Then squares the answer :
\( ({a \times b})^{2} \)
_________________________________
The expression which represents her answer is :
\( {a}^{2} \times {b}^{2} \)
Heather studied for 30 minutes several days in a row. Before her test, she also studied for 10 more minutes. The total amount of time she spent studying was 280 minutes. Write and solve an equation to determine how many days she studied. Let d represent the number of days.
Answer:
9 days
Step-by-step explanation:
280=30d+10
270=30d
9=d
Who is good at accounting
Please answer
Answer:
I'm
Step-by-step explanation:
does this question make any sense ?
What is the rate of change of y with respect to x for this function?
Answer:
-9/2
Step-by-step explanation:
What is the first term of the quotient of the following division problem?
(x³ - 1) = (x + 2)
O -0.5
O 1
O x²
Ox^4
The solution to the algebraic problem is \(x^{2}\)
What is an Algebraic Equation?
An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.
Solution:
(\(x^{3}\) – 1) = (x+2)
On dividing (\(x^{3} - 1\)) by (x+2)
The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.
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PLEASE HELP ME
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
How to determine what is wrong with the data?The prices from 5 gas stations surveyed are given as:
$2.79, $2.99, $2.69, $2.89, and $2.69.
There are no outliers in the dataset
So, the dataset can be summarized by the mean
The mean is
Mean = Sum/Count
So, we have
Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5
Evaluate
Mean = 2.81
The article quoted $2.69 as the typical price
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
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determine whether the series is absolutely convergent, conditionally convergent, or divergent sin(n)/3^n convergent
Answer:
absolutely convergent
Step-by-step explanation:
given data
sin(n)/3^n
solution
we have given term \(\frac{sin(n)}{3^n}\)
when n = 1
and we know that
value of sin(n) ≤ 1
so that we can say that
\(\frac{sin(n)}{3^n}\) ≤ \(\frac{1}{3^n}\) or \((\frac{1}{3})^n\)
here \(\frac{1}{3^n}\) is converges this is because common ratio in geometric series
here r is \(\frac{1}{3}\) and here it satisfy that -1 < r < 1
so it is converges
and
\(\frac{sin(n)}{3^n}\) is also similar
so it is converges
and here no \((-1)^n\) term is
so we can say series is absolutely convergent
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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If the speed of a fluid in a pipe of a Cross-sectional area 100 cm³ is 30ms, what will be it's speed in a pipe of radius 10cm connected to the other end.
Answer:
watch oreimo..
How can you prove a triangle is a right triangle? (4 points)
a
Use the distance formula to see if at least two sides are congruent.
b
Use the slope formula to see if any sides are perpendicular.
c
Use the distance formula to see if all three sides are congruent.
d
Use the slope formula to see if any sides are parallel.
Answer:
a
Use the distance formula to see if at least two sides are congruent.
Step-by-step explanation:
If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle
What is 0.06 × 102? (6-1)
Answer:
I believe the answer is 6.12.
Step-by-step explanation:
I used a calculator
Identify the quadratic function that is in standard form and has zeros -11 and 6. f(x) = x² + 5x + 66
f(x) = x² - 5x + 66
f(x)= x2 + 5x - 66
F(x)=x2-5x - 66
The standard quadratic equation is (c) y = x² + 5x - 66
How to determine the quadratic equation?From the question, we have the following parameters that can be used in our computation:
Zeros -11 and 6
This means that
x = -11 and x = 6
The quadratic equation can then be calculated as
y = (x - 6) * (x + 11)
Evaluate the products
y = x² - 6x + 11x - 66
Evaluae the like terms
y = x² + 5x - 66
Hence, the equation is y = x² + 5x - 66
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consider a stick of length 1. we break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick. we then repeat the same process on the piece that we were left with. let y be the length of the piece that we are left with after breaking twice. find
The expected length of the piece that we are left with after breaking twice is L/4 and the variance Var(X) is 7L^2/144.
In the given question, consider a stick of length 1.
We break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick.
We then repeat the same process on the piece that we were left with.
We have to find expected length of the piece that we are left with after breaking twice.
In the same setting as Q7, suppose the length of the piece that we are left with after breaking twice is Y.
We also have to calculate the variance Var(Y).
Following Laws are used in the solution
Law of Iterated Expectations: E[X] = E[ E[X|Y] ]
& Law of total variance: Var(X) = E[Var(X|Y)]+Var(E[X|Y])
Now, Y = Length of the stick after we break it the first time
and X = length of the stick after we break it the second time
As both the distribution is uniformly distributed.
Now, E[Y] = L/2 and Var(Y)= l^2/12
E(x|y)[X|Y=y] = y/2 and Var(x|y)[X|Y=y] = y^2/12
As the expectation of uniform distribution over {a,b} is (b-a)/2 and variance is (b-a)^2/12
Using Law of Iterated Expectations
E[X] = E[ E[X|Y] ]
E[X] = E[ y/2 ]
E[X] = \int_{L}^{0}
E[X] = L/4
Now using Law of Total Variance
Var(X) = E[Var(X|Y)]+Var( E[X|Y] )
Var(X) = E[y^2/12]+Var(y/2)
Var(X) = (1/12)*E[Y^2]+(1/4)*Var(Y)
Var(X) = (1*12)*(Var[Y] + (E[Y])^2) + (1/4)*Var(Y)
Var(X) = (1/12)*(L^2/12+L^2/4) + (1/4)*(L^2/12)
Var(X) = 7L^2/144
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m.
x-intercept =
1/2
and y-intercept = 3
Write an equation for the line in point-slope form and in slope-intercept form
Answer:
slope intercept form: y= -6x+3
point slope form: y-0= -6(x -1/2)
Step-by-step explanation:
point slope form: y - y1 = m(x - x1)
substitute the values y-0=-6(x-1/2)
slope intercept form:
find the slope using two given points
m = (y2 - y1) / (x2 - x1)
= (3 - 0) / (0 - 1/2)
= 3 / (-1/2)
= -6
substitute into equation
y= -6x+3
Can someone help me I’m giving the brainliest
Answer: Dividing by 4 is the inverse of multiplying by 4
Gladstone Community Center charges a one-time membership fee of $45 plus a monthly fee of $25. YMCA charges $39 a month. Write an inequality that shows the number of months it would take for Gladstone to be less expensive than the YMCA.
Answer:
31
Step-by-step explanation:
70 - 39 = 31
stickers are made with the same ratio of width to length. a sticker 2 inches has a length of 6 inches. complete the table
A square has a side length of 19 in. What is the area?
Answer:
A=a2=192=361in²
Step-by-step explanation:
Using the chart, determine which college is the LEAST expensive.
Answer:
college c
Step-by-step explanation:
bc its the least amount of money and has the second highest loan default
Need help with this assignment.
1)
3)
The coordinates of the image of the dilation are
A (11, 9), B (12, 4), C (7, 3), D (6, 8)A (-4, 8), B (-10, 0), C (-12, 12)A (6, -10), B (6, -5), C (0, -8), D (0, -4)How to determine the image of the dilation?Dilation 1
The coordinates are given as:
A (5.5, 4.5), B (6, 2), C (3.5, 1.5), D (3, 4)
The scale factor of dilation is
k = 2
This means that we multiply the coordinates by 2.
So, we have:
A (11, 9), B (12, 4), C (7, 3), D (6, 8)
Dilation 2
The coordinates are given as:
A (-12, 24), B (-30, 0), C (-36, 36)
The scale factor of dilation is
k = 1/3
This means that we multiply the coordinates by 1/3.
So, we have:
A (-4, 8), B (-10, 0), C (-12, 12)
Dilation 3
The coordinates are given as:
A (3, -5), B (3, -2.5), C (0, -4), D (0, -2)
The scale factor of dilation is
k = 2
This means that we multiply the coordinates by 2.
So, we have:
A (6, -10), B (6, -5), C (0, -8), D (0, -4)
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Please help ASAP please and thank you have a great and blessed day!
Answer:
I RLY HOPE THIS IS CORRECT WISH THE BEST OF LUCK
Answer:
12.08
Step-by-step explanation:
If you order these numbers from least to greatest, you would get...
12.08, 12.087, 12.7, 12.78, 12.807
The least second it took to complete the race is 12.08
hope you have a wonderful day too! <3
Can someone help me with this task please please!!!
Answer:
10,20,30=20
5,10,1520=20
Step-by-step explanation:
Use this formula to calculate compound interest:
Principal x (1 + Interest Rate)(Time)
$100
Interest Rate = 4%
Time= 5 years
Using the information above, how much money would you have after 5 years? Choose the answer that is closest to the exact answer.
The amount after 5 years on $100 using the compound interest is $122.
According to the question,
We have the following information:
Principal = $100
Interest Rate = 4%
Time= 5 years
We know that the following formula is used to find the total amount if there is compound interest:
Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years
(Note that there are different formulas for compound interest depending on how it is calculated.)
A = \(100(1+\frac{4}{100})^{5}\)
A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)
A = 100*1.22
A = $122
Hence, the amount after 5 years on $100 using the compound interest is $122.
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4÷2(4-6+3)×2 what is the answer
Answer:
the answer is 4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
Question 8 of 10
What is a point-slope equation of the line with slope -13 that goes through
the point (5, 7)?
A. Y-7 = -13(x - 5)
B. y + 5 = -13(x + 7)
0.000
C. y- 5 = -13(x-7)
D. y + 7 = -13(x + 5)
SUBMIT
Answer:
A
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = - 13 and (a, b ) = (5, 7 ) , then
y - 7 = - 13(x - 5) → A
Which situation can be represented by this inequality?
3 + 2.0 > 8x
Select one:
The cost of 2 candy bars plus a $3 bag of chips is greater than 8 candy bars.
The cost of 2 candy bars with a discount of $3 is greater than 8 candy bars.
o The cost of a $3 bag of chips plus 2 candy bars is at least as much as 8 candy bars.
The cost of a $3 bag of chips plus 2 candy bars is less than 8 candy bars.
Answer: D
Step-by-step explanation:
Graph the equation on the coordinate plane.
y=−1/2x
Select two points on the line to graph the line.
pls help what is answer
Simplify 4^-4.
please help I have 10 minutes
Answer:
1/256
Step-by-step explanation:
\(4^{-4}\)
\((1/4)^{4}\)
=> 1/256
which describes the intersection of line m and line n? 1.point W 2.point X 3.point y 4.point Z
Answer:W
Step-by-step explanation:
Got it right
Fill in the missing numbers below.
5 feet + 12 inches = blank
yard(s)
Blank inches = 1 foot + 1 yard
Blank feet = 3 feet + 24 inches
Answer:
5 feet + 12 inches = 2 yards
48 inches = 1 foot + 1 yard
5 feet = 3 feet + 24 inches
Step-by-step explanation:
To help solve these equations, you must know how to convert feet to inches, inches to yards, etc. Use the information below:
1 feet = 12 inches
3 feet = 1 yard
To solve 5 feet + 12 inches = blank yard(s), convert 5 feet & 12 inches to yards. Since 5 feet would be complicated to convert, let's convert 12 inches to feet first.
12 inches = 1 feet
Instead of 12 inches, we can substitute it as 5 feet + 1 feet = blank yard(s). That would be 6 feet = ? yards. 3 feet = 1 yard, which tells us we must divide both sides by 3. Thus, 5 feet + 12 inches = 2 yards.
Blank inches = 1 foot + 1 yard
To find the # of inches in a yard, you must first know that 3 feet = 1 yard. If there are 12 inches in a foot, we must multiply 3 by 12, getting us 36. You add 12 inches (1 foot), getting us 48 inches in total. Thus 48 inches = 1 foot + 1 yard.
Blank feet = 3 feet + 24 inches
Since 3 feet is already feet, we do not need to convert it. If 12 inches is 1 foot, we must divide 24 inches by 12. So, there is 2 feet in 24 inches. 2 + 3 is 5. Thus, 5 feet = 3 feet +24 inches.