consider the line y=2/7x + 1
Find the equation of the line that is perpendicular to this line and passes through the point (-4,6).

Answer:

0.26

Step-by-step explanation:

26% divide by 100%.  The percentage signs cancel out and when you divide by 100, you move the decimal point two places to the left.            

Answer:

0.26

Step-by-step explanation:

What is the decimal multiplier for 26%? The decimal multiplier is 0.26 .

pls, tell me if wrong have a good day/night<3 and remember your beautiful

The expected rate of inflation is 0.068627 or 6.86%.

Real Rate of return:

The real rate of return defines the actual amount of return earned by an investment. Inflation reduces the real rate of return, so investor tries to invest in securities that could fetch more return than inflation.

The general formula of the inflation rate is:

[tex]IR=\frac{1+R_1}{1+R_2} -1[/tex]

Given information is that

Nominal rate of return(R1)=9%

Real rate of return(R2)=2%

Now substitute these values in the above formula:

[tex]IR=\frac{1+R_1}{1+R_2} -1\\\\IR=\frac{1+0.09}{1+0.02} -1[/tex]

IR=1.068627-1

IR=0.068627 or 6.86%

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Answer:

$500

Step-by-step explanation:

To calculate the interest paid in the first 5 years, you can use the formula for simple interest: I = Prt, where I is the interest, P is the principal (the original amount of the deposit), r is the interest rate (expressed as a decimal), and t is the time (in years).

In this case:

I = P * r * t

I = 5000 * 0.02 * 5

I = 5000 * 0.1

I = $500

So Scott will be paid $500 in interest over the first 5 years.

Answer:

500 is ur answer

Step-by-step explanation:

DONT BELIEVE ME? Ask ur teacher

The probability is the likelihood that anything will happen, and in November, the probability of receiving a diamond or a 7 is 1/39.

Simply put, the probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

Probability is a measure of how likely something is to occur.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur.

So, in 52 cards, there are 13 diamonds and 4 sevens ( one of 7 included in 13 diamonds)

Getting a 7 or a diamond:  (13 + 4 - 1) /52 = 16 / 52 = 4 / 13

November: 1 / 12

4 / 13 * 1 / 12 = 4 / 156 = 1 / 39

Therefore, the probability is the likelihood that anything will happen, and in November, the probability of receiving a diamond or a 7 is 1/39.

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Answer:

Step-by-step explanation:

Initial height is 10 cm and daily growth rate is 3 cm as:

After one week the plant will be:

The statement given is true. When the bisector of an angle of a triangle bisects the opposite side, the is the triangle isosceles.

In the attached picture of ΔABC, we can see that AD is the bisector of ∠A that meets BC in D, so that BD = DC.

Now, we need to prove that AB = AC.

As construction, produce AD to E so that AD = DE, and then join CE.

So, in ΔABD and ΔECD, we have:

BD = CD

AD = ED

and ∠ADB = ∠EDC because those are vertically opposite angles.

Consequently, based on SAS congruence criterion, ΔABD ≅ ΔECD.

Thus, AB = EC and ∠BAD = ∠CED. And also, ∠BAD = ∠CAD.

For that reason, it means ∠CAD = ∠CED, and AC = EC.

Hence, AB = AC. It is proved that the triangle is isosceles.

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The standard deviation of the probability distribution for the given price of each doughnut and the variance is equal to $√1.50 × 3.6.

Price of the each doughnut 'P' = $1.50

Expected value of the probability distribution of the doughnut = 2.6

Variance of the probability distribution = 3.6

Price of the variance of the probability distribution is equal to

= Price of each doughnut × Variance

= 1.50 × 3.6

Standard deviation of the probability distribution is equal to

= √ Price of the variance of the probability distribution

= √1.50 × 3.6 dollars.

Therefore, the standard deviation of the probability distribution is equal to

$√1.50 × 3.6.

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The sides of a right triangle that would form a right triangle is 9 m, 40 m, 41 m. 9 yards. 12 yards, 15 yards and 15 miles. 8 miles. 17 miles

An equation is an expression that shows the relationship between two or more numbers and variables.

Pythagoras theorem states that for a right angled triangle, the sides of the triangle are related to each other using the expression:

(hypotenuse side)² = (adjacent side)² + (opposite side)²

The sides of a right triangle that would form a right triangle is 9 m, 40 m, 41 m, because:
41² = 40² + 9²

Also, 9 yards. 12 yards, 15 yards, because:

15² = 9² + 12²

15 miles. 8 miles. 17 miles, because

17² = 15² + 8²

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Answer:

i believe the answer is 18 3/10

Step-by-step explanation:

The number of months (m) your parents will spend paying for the phone, and then x≤11, by solving the inequality.

Therefore,

Set the months to X based on the information from the query, and we have

35X + 100 ≤ 485

then we can have

35x ≤ 485 -100

35x≤385

x≤385/35

x≤11

Consequently, we may state that the parents will pay for the phone for a total of 11 months.

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Nathan can cut 3 one-acre lawns with a full tank of gas

What is Cross multiplying fractions?

Cross multiply fractions by multiplying one fraction's denominator by the second fraction's numerator and then comparing the two values. The larger fraction is the one with the higher value.

Since Nathan's lawnmower uses one tank of gas to cut three one-acre lawns, it means that he can cut one one-acre lawn with 1/3 of a tank of gas. So, if he has a full tank of gas, he can cut one-acre lawns equal to the number of times 1/3 fits into a full tank. In other words, he can cut a full tank of gas divided by 1/3 of a tank of gas.

The number of one-acre lawns Nathan can cut with a full tank of gas is:

1 tank / (1/3 tank) = 3 one-acre lawns.

So, Nathan can cut three one-acre lawns with a full tank of gas.

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Answer:

72 seconds.

The 6th floor is 2 times the amount of walking from the ground floor to the third, so the time to walk to the 6th floor will be twice as long too.

36 * 2 = 72

Step-by-step explanation:

Hope it helps! =D

Answer:

<FAB

Step-by-step explanation:

Supplemental angles add to 180. They make a straight line.

Supplementary angles add up to 180°. Using this knowledge, write an equation with the given information:

x°+45°=180°

Subtract 45° from both sides:

x°=135°

We now know that we're looking for an angle in the figure that equals 135°. Notice that ∠BAF accomplishes this, therefore ∠BAF is supplementary to ∠FAE.

The value for the unknow x cannot be equal to 10.

The value of x in the first equation is not equal to 10. To see this, we can substitute x = 10 into the equation:

125 < 12 * 10 = 120

Since 125 is not less than 120, the inequality is false when x = 10. Therefore, x cannot be equal to 10.

A simultaneous equation is a set of two or more equations that contain two or more variables, and all the equations in the set are solved together to find the values of the variables.

Simultaneous equations can be represented graphically as intersecting lines or curves in a coordinate plane. The solution to a set of simultaneous equations is a set of values for the variables that satisfies all the equations in the set.

Simultaneous equations can be solved using various methods such as substitution, elimination, or matrices. The solution to the equations can provide information about the relationships between the variables in a given problem, and can be used to make predictions or find the unknown values in a real-world scenario.

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Answer:

3

Step-by-step explanation:

Since the wall is two different lengths, it assumes the wall is a rectangle

Angle of a rectangle is L x W

Which means 10x13 = 130

Since every gallon covers 60 square feet, we need to divide that 130 by 60

(130)/(60) = 2.2

Since they dont sell partial gallons, she would have to buy 3 gallons of paint

answer-

577468-64753=57623546

Bill's overall Commitment Adherence percentage was 64%.

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Based on the slope, which describes a linear equation, the rent payment of Kai in 2016, was $1,073.66.

A linear equation is an algebraic equation written in the form of y=mx+b.

A linear equation involves a constant and a first-order term, where m is the slope and b is the y-intercept.

Kai's rental payment in 2013 = $836

Kai's rental payment in 2022 = $1,549

Slope = Rise/Run

Rise (Difference in rent between the two periods = $713 ($1,549 - $836)

Run = (Difference in the years) = 9 (2022 - 2013)

Slope = $79.22 ($713/9)

Let the number of years between 2013 and the stated year = x

Run = 3 (2016 - 2013)

y = mx + b

Rent in x years = 836 + 79.22x

= 836 + 79.

= $1,073.66 (836 + 79.22(3)

Thus, solving the linear equation, Kai's rental payment in 2016 was $1,073.66.

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Answer:

Ok

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of the line can be found using the point-slope form:

y - y1 = m (x - x1)

where m is the gradient, (x1, y1) is a point on the line.

For the given information:

m = 3, x1 = -1, y1 = 3

Plugging in the values into the point-slope form:

y - 3 = 3 (x - (-1))

Simplifying the equation:

y = 3x + 6

So, the equation of the line is: y = 3x + 6

Answer: 7,500

Step-by-step explanation: 5% of 150,000 is 7,500.

The solution is Option C.

The value of the set n ( A' ∪ B' ) = n ( A ∩ B )' = 15

The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

From the Venn diagram , we get

n ( A ) = { 3 , 1 }

n ( B ) = { 7 , 1 }

And , n ( A ∩ B ) = { 1 }

And , the universal set n ( U ) = { 5 , 3 , 1 , 7 }

From the set theory , we get

Now , the value of n ( A' ∪ B' ) = n ( A ∩ B )'

n ( A ∩ B )' = n ( U ) - n ( A ∩ B )

n ( A ∩ B )' = { 5 , 3 , 1 , 7 } - { 1 }

So , n ( A ∩ B )' = { 3 , 7 , 5 }

And , n ( A ∩ B )' = 3 + 7 + 5 = 15

Hence , the set n ( A ∩ B )' is 15

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Step-by-step explanation:

a scientific number like 8.14 × 10^-7 is simply a form of

a × b

all operations with scientific numbers base on this.

multiplication :

(a × b) × (c × d) = a × b × c × d

or any other combination, as multiplication is commutative.

e.g. a × c × b × d

if it helps with a better understanding and the combination of factors of the same base.

addition :

(a × b) + (c × d)

this cannot be simplified per se.

we need to bring factors of both terms to the same base in order to be able to add them.

so,

part A

the area of a rectangle is

length × width

so, we have

8.14 × 10^-7 × 3.6 × 10^-9

as explained above, to make this better visible we combine factors of the same base :

8.14 × 3.6 × 10^-7 × 10^-9

remember, when multiplying factors of the same base, we simply add the exponents :

10^-7 × 10^-9 = 10^(-7 + -9) = 10^-16

and

8.14 × 3.6 = 29.304

so, the total result is

29.304 × 10^-16 m²

part B

a scientific number has exactly one significant digit (not 0) in front of the decimal point, and all other significant digits after the decimal point.

so, what do we need to convert

29.304 × 10^-16

to that ?

we need to divide the left part by 10. but to keep the value of the total number unchanged, we then need to multiply the right part by 10. in other words, we multiply by 10/10.

and we get

2.9304 × 10^-15 m²

part C

the perimeter of a rectangle is

2×length × 2×width

2×8.14×10^-7 + 2×3.6×10^-9

the first step is easy : simplifying the multiplications by 2.

16.28×10^-7 + 7.2×10^-9

now, we can only add them, if there is the same factor in each term.

and the easiest way to get to that is a manipulation of the 10-factors.

let's bring 10^-7 to 10^-9. that means a division by 100. remember, we need to keep the overall value of the number. what, what we do to one factor we need to counter in the other factor :

16.28×10^-7 = 100/100 × 16.28×10^-7 =

= 100×16.28 × (10^-7)/100 =

= 1628 × 10^-9

now we can add both numbers

1628×10^-9 + 7.2×10^-9 = 1635.2×10^-9 m

part D

remember what we said in part B.

here now we need to divide the left part by 1000. which means we also need to multiply the right part by 1000.

1635.2×10^-9 × 1000/1000 = 1.6352 × 10^-6 m

Answer:

the answer is 7x + 58

Step-by-step explanation:

7x - 20 + 78

=7x + 58.

remember your question is algebra.

The surface area of the triangular prism will be 540 square inches. Then the correct option is D.

Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,

Surface area = 2 Area of triangle + 3 Area of rectangle

Surface area = (h x b) + (L₁ + L₂ + L₃) x W

The surface area of the triangular prism is given as,

SA = (5 x 12) + (5 + 12 + 13) x 16

SA = 60 + 30 x 16

SA = 60 + 480

SA = 540 square inches

The surface area of the triangular prism will be 540 square inches. Then the correct option is D.

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The polynomial function will be x² + (10 - √7)x + 4 ( 6 - √7).

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given that the zeroes of the polynomials are 4,6−√7. The polynomial can be written as:-

( x + 4 ) ( x + 6 -√7)

x² + 6x - √7x + 4x 24 - 4√7

x² + ( 10 - √7 )x + 4(6 - √7)

Hence, the polynomial function will be x² + (10 - √7)x + 4 ( 6 - √7).

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Answer:

x = 11 , TB = 12 cm

Step-by-step explanation:

given a tangent and a secant from an external point to the circle, then

the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is

TC × TB = TA²

3(3 + x - 2) = 6²

3(x + 1) = 36 ( divide both sides by 3 )

x + 1 = 12 ( subtract 1 from both sides )

x = 11

then

TB = TC + CB = 3 + (11 - 2) = 3 + 9 = 12 cm

Answer:

2

Step-by-step explanation:

SV = TU

x+3 = 4x-3

6=3x

x=2

Hello!:

In a parallelogram:

--> the sides parallel to each other are equal in length

    --> so sides SV and TU are equal lengths

      --> which in equation form

               [tex]SV=TU\\x+3=4x-3\\4x-x=3+3\\3x=6\\x=2[/tex]

Thus if SV = x + 3, then:

 [tex]SV=x+3=2+3=5[/tex]

The length of SV is 5

Answer: 5

Therefore , the solution of the given problem of deviation comes out to be

MAD mean = 1.55.

The difference between their means can be estimated by subtracting it from the mean absolute deviation of the two datasets.

The average distance between each data value and the mean is known as a collection of data's mean absolute deviation (MAD).

Here,

Given :

=> Previous year : 46.8 in. with a MAD of 1.5 in

=> Last year :  49.9 in. with a MAD of 1.6 in.

=>Mean = 46.8 +49.9 /2 = 48.35

=> MAD mean = 1.5 + 1.6 = 1.55

The average of each point's "positive distances" from the mean is the mean absolute deviation. The degree of data variability increases with the MAD (the data is more spread out).

Each digit in the data set should be taken, the mean subtracted, and the absolute value calculated. Take the total of the absolute values next. Next, divide the aforementioned sum by the total number of values in the data set to obtain the mean absolute deviation.

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