Write the equation of a line that is perpendicular to the given line and that passes through the given point. Hurry Please!

y-3=-1/5(x+2); (-2,7)

A. y=5x+7
B. y=5x+17
C. y=(1/5)x-2
D. y=-2x+3

Answer:

the solution is usually where the arrows touch, so it should be (8,-4)

Step-by-step explanation:

Two parts of a family budget is Income and expenses. The correct option is c.

The fundamental family budgets cover housing, food, childcare, transportation, health care, other necessities, and taxes.

It's easy to understand the difference between income and expenses: income refers to the funds your organisation receives, whereas expenses refer to the funds it spends.

Net income is typically defined as your revenue, or the total amount of money coming into your business, minus all of your expenses. Your company is profitable if that number is positive.

Therefore, the correct option is c. Income and expenses.

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Complete question:

What are the two parts of a family budget?

Responses:

Answer:

Step-by-step explanation:

Volume of the cone:

Substitute values and solve for r:

Answer:

Area of a Circle = 254.34 cm²

Step-by-step explanation:

Area of a Circle = π r²

Area of a Circle = 3.14 * 9²

Area of a Circle = 254.34 cm²

The required probability for randomly selected students spend between $300 and $400 on clothing in a year is equal to 0.6730 or 67.30% (approximately ).

For a normal distribution with a mean (μ) of $340

And a standard deviation (σ) of $50.

Let X be the amount of money spent on clothing by a randomly chosen student.

Probability that a randomly chosen student will spend between $300 and $400 on clothing in a year,

P(300 < X < 400)

Standardize the distribution by converting the given values to z-scores, using the formula,

z = (X - μ) / σ

For the lower limit, we have,

z1 = (300 - 340) / 50 = -0.8

For the upper limit, we have,

z2 = (400 - 340) / 50 = 1.2

Area under the standard normal distribution curve between these two z-scores.

Standard normal distribution table

Probabilities, or use the properties of the normal distribution to calculate it as,

P(-0.8 < Z < 1.2)

= P(Z < 1.2) - P(Z < -0.8)

Using a standard normal distribution table we have,

P(Z < 1.2) ≈ 0.8849

P(Z < -0.8) ≈ 0.2119

Substituting these values in the above equation, we get,

P(-0.8 < Z < 1.2)

≈ 0.8849 - 0.2119

≈ 0.6730

Therefore, the probability that a randomly chosen student will spend between $300 and $400 on clothing in a year is approximately 0.6730 or 67.30%.

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18000/x defines the gallons of the gas consumed by the old car in one year.

Step-by-step explanation:

If I purchase a car, I will definitely concentrate on a factor that is gas consumed by the car in a year.

As per statement given in the question if gas is $3.45 per gallon and I drive an average of 18000 miles per year.

If x miles per gallons is the average of the old car and y miles per gallons is the average of of new car.

Then total difference in gallons of the gas consumed by the old and new cars will be represented by the equation.

g(x) = 3.45 - 3.45

Here, 18000/x defines total number of gallons of the gas consumed by the old car in one year.

Answer:

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

Now, we have to find the quotient of the above expression.

So, here we go:

Now, we will divide the above simplest form with g(x):

Hence, the quotient is (x-2).

Step-by-step explanation:

Answer:

a) \(x(x+2)\)

b) \(2x(x-3)\)

c) \(5x(3-2x^2)\)

d) \(3x^2(3+x)\)

Step-by-step explanation:

a) \(x^2+2x\)

When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.

In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get

\(x(x+2)\)

b) \(2x^2-6x\)

What are the common terms here?

It can be seen that each of these share a 2x, so our factored form would be

\(2x(x-3)\)

c) \(15x-10x^3\)

What about this one?

The common factor of this one is 5x, so our factored form would be

\(5x(3-2x^2)\)

d) \(9x^2+3x^3\)

The common factor of this one is \(3x^2\), so our factored form would be

\(3x^2(3+x)\)

Answer:

The bacterial culture loses  \(\dfrac{5}{8}\)  of its size every 7 seconds.

Step-by-step explanation:

The relationship between the elapsed time t, in seconds, and the number of bacteria, N(t), in the petri dish is modeled by the function:

\(N(t)=4900\cdot\left(\dfrac38\right)^{t/7}\)

Since the growth factor is less than 1, it is a decay equation.

\(\dfrac38=1-\dfrac58\\N(t)=4900\cdot\left(1-\dfrac58\right)^{t/7}\)

Observe that the time t is divided by 7.

This is the period.

We can therefore say that the bacterial culture loses \(\dfrac{5}{8}\)  of its size every 7 seconds.

Answer:

7

Step-by-step explanation:

khan

Answer:

The answer for that equation is 32400

Step-by-step explanation:

Answer:

No because their bases are not the same

Step-by-step explanation:

===================================================

Explanation:

Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.

The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.

The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207

Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.

By adding all the spent and divide by total number of spent,  $65.52 / 4 average spent is $16.38.

The average, also known as the arithmetic mean, is a measure of the central tendency of a set of numbers.

To calculate the average of a set of numbers, you can use the following formula:

Average = (Sum of all numbers) / (Number of items in the set)

For example, to find the average of the numbers 3, 7, and 11, you would do the following:

Average = (3 + 7 + 11) / 3 = 21 / 3 = 7

To find the average amount of money that Jeremy spends when he goes to the store, you need to add up all of the amounts he spent and then divide by the number of times he went to the store. In this case, the amounts he spent are $15.67, $18.43, $12.80, and $18.62, for a total of $65.52. Since he went to the store four times, you need to divide this total by 4 to find the average amount he spends per trip:

Average amount per trip = $65.52 / 4 = $16.38

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Answer:

<R = 26degrees

Step-by-step explanation:

Making <R as the reference angle

Adjacent side = 12.7

Hypotenuse = 14.1

Cos <R = adj/hyp

Cos <R = 12.7/14.1

Cos <R = 0.9007

<R = arccos(0.9007)

<R =25.7

<R = 26degrees

Answer:

A. 26°

Step-by-step explanation:

I took it on EDG

The expression (1.4 × 10¹)(8 × 10⁴) in scientific notation is 1.12 × 10⁵ and for expression (1.1 × 10⁻⁵)(3 × 10²) the  scientific notation is 3.3 × 10⁻³

The given expressions are (1.4 × 10¹)(8 × 10⁴) can be calculated as:

Firstly we will multiply the decimal numbers and whole numbers

1.4 × 8

One point four times eight is equal to eleven point two

= 11.2

Now we multiply the base with ten

10¹ × 10⁴

We know that when the bases are same then the powers will be added in multiplication

= 10⁵

Combining these results, we have 11.2 × 10⁵

Therefore, the result in scientific notation is 1.12 × 10⁵

Similarly, for (1.1 × 10⁻⁵)(3 × 10²)

We will multiply the decimal numbers and whole numbers

1.1 × 3 = 3.3

Now the base with ten will be multiplied

10⁻⁵ × 10²

The bases are same the powers will be added

= 10⁻³

Combining these results, we have 3.3 × 10⁻³

Therefore, the result in scientific notation is 3.3 × 10⁻³

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Answer:

51

Step-by-step explanation:

x + y + z  = 0   →-  -(x + y)  = z  →   z^3 =  - (x^3 + 3x^2y + 3xy^2 + y^3)

xyz  = 17

xy [ -(x + y) ]  = 17

xy (x + y)  = -17  →  x^2y + xy^2  = -17  →  3x^2y + 3xy^2  = -51

So......

x^3  + y^3  +  [ z^3 ]

x^3  + y^3  +  [ -  ( x^3 + 3x^2y + 3xy^2 + y^3) ]  =

-3x^2y - 3xy^2  =

-[ 3x^2y + 3xy^2]  =

- [-51]  =

51

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Answer:

c: on a number line, c is to the left of d

To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:

1) 9x-4

Step-by-step explanation:

7x+2x= 9x

-8+4= -4

9x-4

The volume of the composite solid is 5104 cubic ft.

A triangular prism's volume is the area that it takes up in all three dimensions. A prism is a solid object that has the same cross-section throughout its entire length, equal bases, and flat, rectangular side faces. Prisms can be divided into many categories and given different names depending on the form of their bases. A triangular prism has three rectangular lateral sides and two identical triangular bases.

The area of a triangular prism is given as:

V = 1/2(bhl)

Here, h = 22 - 12 = 10 ft.

Substituting the values we have:

V = 1/2(13)(10)(32)

V = 2080 cubic ft.

The volume of the rectangular prism is given as:

V = lwh

V = (28)(9)(12)

V = 3024 cubic ft.

The volume of the composite solid is:

V = V1 + V2

V = 2080 + 3024

V = 5104 cubic ft.

Hence, the volume of the composite solid is 5104 cubic ft.

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the ratio of flour to sugar is:

flour : sugar= 4 : 2 = 2 : 1

Answer:

2:1, 2 to 1, or 2/1

Step-by-step explanation:

Devide 4 and the two by two and it makes it 2:1

Answer:

Step-by-step explanation:                

\(\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1\)

One error-detection method that can compensate for burst errors is the cyclic redundancy check (CRC).

This method involves adding extra bits to the data being transmitted, which can detect and correct errors in the data. and has error detection. CRC is particularly effective in detecting and correcting burst errors, which occur when a group of consecutive bits are corrupted in a data transmission.

An error-detection method that can compensate for burst errors is the "Reed-Solomon code". Reed-Solomon codes are block-based error correcting codes that can detect and correct multiple errors in data transmissions, making them highly effective in handling burst errors. These codes compensate for burst errors by using redundant information added to the original data, allowing the receiver to accurately reconstruct the original data even in the presence of errors.

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The given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

According to the given question.

We have two planes

2x - 4y + 3z = 5

and,

x + 8y + 10z = 3

Since, two planes are perpenicular if

\(a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0\)

Where \(a_{1}\), \(b_{1}\) and \(c_{1}\) and \(a_{2}\), \(b_{2}\) and \(c_{2}\) are the direction ratios of planes.

And the two planes are parallel to each other if

\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }\)

Here, the direction ratios of plane 2x + 4y + 3z = 5 are 2, -4, and 3  and the direction ratios of plane x + 8y + 10z = 3 are 1, 8, and 10

Now,

2(1) + (-4)(8) + 3(10)

= 2 - 32 + 30

= 0

Since, the sum of the product of the direction ratios of  the two palnes is 0. Therefore, the given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

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To perform the indicated operations for the expression y^2-9/4 * 8/y+3, we can follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

First, we need to simplify the expression inside the parentheses:

y^2 - 9/4 * (8/(y+3))

Next, we need to simplify the expression inside the parentheses since it is enclosed in parentheses:

y^2 - 9/4 * (8/(y+3)) = y^2 - 18/(y+3)

Finally, we can simplify the expression further by multiplying (multiplication takes precedence over addition and subtraction):

y^2 - 18/(y+3) = (y^3(y+3) - 18)/4(y+3)

Thus, y^2-9/4 * 8/y+3 simplifies to (y^3(y+3) - 18)/4(y+3).

The missing side of the right triangle is as follows:

a = 22.7 units

b = 10.6 units

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides a and b can be found using trigonometric ratios as follows:

Hence,

sin 25 = opposite / hypotenuse

sin 25° = b / 25

cross multiply

b = 25 sin 25

b = 25 × 0.42261826174

b = 10.5654565435

b = 10.6 units

cos 25 = adjacent / hypotenuse

cos 25 = a / 25

cross multiply

a = 25 cos 25

a = 22.6576946759

a = 22.7 units

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Answer:

Step-by-step explanation:

10/10 cause everyone is

Answer:

AA by isaiah rashad

Step-by-step explanation:

good song

Answer:

Step-by-step explanation:

Hey.

Here is the answer.

Area of square = 331.24 m^2 = side ^2

so, side of the garden = 18.2 m

So, length of fence required = perimeter of the garden = 4×side = 4×18.2

= 72.8 m