This question i need help on

The length of the rectangular garden given the area and width is 8/7 miles

A rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.

Area of a rectangular garden = length × width

16 = x × 14

16 = 14x

x = 16 / 14

x = 8/7 miles

Therefore, the length of the rectangular garden given the area and width is 8/7 miles.

Learn more about area of rectangle:

https://brainly.com/question/13048427

#SPJ1

Answer:

Step-by-step explanation:

$3,456.00 + $3,298.00 + $1,235.00 + $750.00 - $2,450.00 = $6,289.00

Answer:

a. Domain : All Real Numbers

b. Range: y≥ -1

c. The x-intercepts are (0,0) and (-4,0)

d. The y-intercept is (0,0).

e. f(2)=3

   f(-2)=-1

Step-by-step explanation:

If this has helped you please mark as brainliest

Answer:

divide the least common denominator by the original denominator

Answer:

true

Step-by-step explanation:

.

The measure of angle 2 which  is 27°, from the given figure .

The angles of parallel lines can be stated as, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. we can say that, Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

here, we have,

Given that, l║m and QR perpendicular to ST at R.

Here, m∠1 =m∠QTR (Alternate interior angles are equal)

m∠QTR=63°

From triangle RQT,

m∠2+m∠QTR+m∠QRT=180° (Sum of interior angles of triangle is 180°)

⇒ m∠2+63°+90°=180°

⇒ m∠2+153°=180°

⇒ m∠2=180°-153°

⇒ m∠2=27°

Therefore, the measure of angle 2 from the given figure is 27°.

Learn more about the parallel line angles here:

brainly.com/question/17237586.

#SPJ9

Answer:

It would take her 90 minutes to run 10 miles.

Step-by-step explanation:

First you should divide 54 by 6 and you'll get 9. So it takes her 9 minutes to run 10 miles (which is physically impossible). You multiply 9 times 10 and get 90.

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

Answer:

\(\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}\) Whatever this number may be

Step-by-step explanation:

The distance will be on the plane containing the point, and perpendicular to the line - which exists as long as the point doesn't sit on the line, but in that case our distance will simply be zero. Good news, since the line is given in parametric equation, the equation of the plane is easy to write by simply computing the dot product between the vector generating the line - or any multiple of it! - and the vector joining a random point x y z of the space with our given point, and setting it equal to zero. The equation of our plane is thus

\(6(x-(-8)) + 3(y-9) -7(z-8) = 0\\6(x+8)+3(y-9)-7(z-8)=0\)

We could multiply now or later, doesn't matter, so let's wait. Now, we need to know when the line passes through the plane, so let's plug the (parametric) coordinate of the line and let's see for which value of t that happens:

\(6(-2-6t+8) +3(1-3t -9) -7(-5+7t-8) =0\\6(6-6t) -3(8+3t)+7(13-7t)=0\\36-36t-24-9t+91-49t = 0\\t=103/94\)

Found this value of t, we can use it to find the coordinate of the point in common between the line and the plane:

\((-2-6\frac {103}{94};1-3\frac {103}{94}; -5+7\frac {103}{94}) = (-\frac{806}{94};-\frac{215}{94};-\frac{251}{94})\)

At this point it's simply a matter of calculating the distance between two points in 3D space, given by the usual \(\sqrt{\Delta x^2+\Delta y^2+\Delta z^2}\), whatever abomination of a number it might become:

\(\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}\)

At this point is a simple exercise in number crunching which I refuse to entertain more - but please double check all calculation above in case I didn't notice something.

The values οf r that satisfy this inequality will make the οriginal inequality 6r < -84 true. Therefοre, the cοrrect answer is:

Equivalent Inequality: -19 < r < -9.

When twο expressiοns οr values are nοt equal tο οne anοther, this relatiοnship is knοwn in mathematics as "inequality." As a result, imbalance leads tο inequality.

Tο sοlve the inequality 6r < -84, we need tο divide bοth sides by 6, remembering that when we divide οr multiply an inequality by a negative number, we need tο flip the directiοn οf the inequality.

6r < -84

r < -14

Sο, the values οf r that make the inequality 6r < -84 true are:

-19, -15, -13, -9

Tο write an equivalent inequality in terms οf r, we simply write:

r < -14

Sο, the equivalent inequality in terms οf r is

-19 < r < -9

The values οf r that satisfy this inequality will make the οriginal inequality 6r < -84 true. Therefοre, the cοrrect answer is:

Equivalent Inequality: -19 < r < -9.

To know more about inequality visit:

brainly.com/question/30228778

#SPJ1

The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

From the question, we have the following parameters that can be used in our computation:

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

Read more about speed at

https://brainly.com/question/24571540

#SPJ1

Answer:

13.567%

Step-by-step explanation:

We solve the above question, using z score formula

z = (x-μ)/σ, where

x is the raw score = 23.1 ounces

μ is the population mean = 22.0 ounces

σ is the population standard deviation = 1.0 ounce

More than = Greater than with the sign = >

Hence, for x > 23.1 ounces

z = 23.1 - 22.0/1.0

= 1.1

Probability value from Z-Table:

P(x<23.1) = 0.86433

P(x>23.1) = 1 - P(x<23.1)

P(x>23.1) = 1 - 0.86433

P(x>23.1) = 0.13567

Converting to percentage

= 0.13567 × 100

= 13.567%

Therefore, the percentage of regulation basketballs that weigh more than 23.1 ounces is 13.567%

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

For more such questions on sentence translation, click on:

https://brainly.com/question/28958546

#SPJ8

Answer:

.

Step-by-step explanation:

Since both x + 1 and x - 1 are factors of f(x), we have the factorization

x³ + 2ax + b = (x + 1) (x - 1) (x - b)

where the last root must be x = b in order that b is the constant term in the cubic.

Expanding the right side and equating coefficients gives

x³ + 2ax + b = x³ - bx² - x + b

which tells us

-b = 0   ⇒   b = 0

2a = -1   ⇒   a = -1/2

Then we have

f(x) = x³ + 2 (-1/2) x + b = x³ - x

or

f(x) = x (x + 1) (x - 1)

Answer:

Step-by-step explanation:

At the end of the loan/investment, you can take the accumulated value and subtract that from the principle/PV to get the total interest

The total interest earned can be determined by subtracting the principal from the future value of the loan.

There are two types of interests : simple interest and compound interest.

Compound interest is a type of interest in which the principal and interest already accumulated also earn an interest. While for simple interest it is only the principal that earns interest.

For example, if a loan of $4000 earns 10% interest compounded yearly, the future value of the the amount in 5 years is:

$4000 x (1.1)^5 = 6442.04

The interest earned over the 5 years can be determined by subtracting the  cost of the loan from the future value of the investment

Interest = 6442.04 - $4000 = $2442.04

Another example, if a loan of $4000 earns 10% simple interest, the interest of the loan after 5 years is:

$4000 x 0.1 x 5 = $2000

To learn more about interest, please check: brainly.com/question/9352088?referrer=searchResults

Answer :

square of 5 is 25 .

Answer:

12 miles

Step-by-step explanation:

3 miles per 1 hour pace

3 × 4 = 12 miles

Answer:

x = 12 miles

Step-by-step explanation:

Sarah can walk 3 miles in 1 hour.

At this pace how many miles will Sarah walk in 4 hours​?

Write and solve an equation of ratios:

 3 mi        1 hr

---------  =  --------

    x           4 hr

Cross-multiplying yields x = 12 miles.  

Sarah can walk 12 miles in 4 hours

The vertex, axis of symmetry, focus, and the directrix of the parabola is as follows:

The vertex of a parabola is described as a point in the parabola where it makes the sharpest turn.

An axis of symmetry is defined as a line segment that divides the object into two equal halves.

Focus is the distance of the line segment from a certain point to the directrix of the parabola.

The directrix of a parabola is a line segment perpendicular to the axis of symmetry of the line.

Now, in the given equation: 4y= \(-x^{2}\)+8x+4 converting it to the defined form,

-4y=x-8x-4

-4y=\((x-4)^{2}\)-20

\((x-4)^{2}\)=20-4y=4(5-y)

Therefore since it is in defined form, we have vertex = (5,4)

Its axis of symmetry is x=4

Its focus is (-5+4,4) which is equal to (-1,4)

And the directrix of the parabola is x+5=-4 which is equal to x=-9

To know more about parabolas, please visit:

https://brainly.com/question/21685473

#SPJ9

Yes, the deviation is greater than it was in tossing them 40 times.

A standard deviation (or σ) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out.

Given:

n= 400 trials

Tossing 2 coins 400 times gives 800 trials

so, \(\sigma_1\)² = np(1- p)

        = 800 x 1/2 x 1/2

      \(\sigma_1\)  = √200

      \(\sigma_1\) = 10√2

Now, n=40

and,  \(\sigma_2\)² = np(1- p)

        = 80 x 1/2 x 1/2

      \(\sigma_2\)  = √20

      \(\sigma_2\) = 2√5

Learn more about Standard Deviation here:

https://brainly.com/question/23907081

#SPJ1

Answer:

The slope is -4

Step-by-step explanation:

Use slope formula:

\(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

\(\frac{4-8}{3-2} =\)-4x

The required slope of the line that passes through the points (2, 4) and (3, 8) is 4.

The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.

The formula for slope between two points (x₁, y₁) and (x₂, y₂) is,

m = (y₂ - y₁)/(x₂ - x₁)

The given points are (2, 4) and (3, 8).

To find the slope of the line that passes through the points  (2, 4) and (3, 8),

Use slope formula,

m = (y₂ - y₁)/(x₂ - x₁)

m = (8 - 4) / (3 - 2)

m = 4 / 1

m = 4

The slope of the line that passes through points (2, 4) and (3, 8) is  4.

To know more about Slope on:

https://brainly.com/question/16941905

#SPJ2

Answer:

B. 800

Step-by-step explanation:

Its b because we estimate that 326 is about 300 and 486 is about 500 and if we add tha together we get 800.

Answer:

   {-7, -4, -1, 3, 7}

Step-by-step explanation:

The range is the list of y-coordinates of the points:

  range = {-7, -4, -1, 3, 7}

the amount of cubic feet(Volume) the tent can hold is 165 ft³.

Volume is the space occupied by an object.

To caculate the amount of cubic feet(Volume), the tent can hold, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the right option is (A) 165 ft³.

Learn more about volume here: https://brainly.com/question/28795033

#SPJ1

The required amount to be paid into the fund each period is $1535.21. which the correct answer would be option (B).

Lee Associates borrowed $60,000 in total. The corporation intends to establish a sinking fund to repay the debt after 12 years.

Assuming a semiannual compounding rate of 8%,

As per the given information, the required solution would be as:

Amount to be paid into the fund each semi-annual period will be

= Loan Amount/((1+r/2)²ⁿ⁻¹)/(r/2))

= 60000/(((1+8%/2)²ˣ¹²⁻¹)/(8%/2))

= $1535.21

Thus, the required amount to be paid into the fund each period is $1535.21.

Hence, the correct answer would be an option (B).

To learn more about Compound interest click here:

brainly.com/question/25857212

#SPJ1

Answer:

since it is a parallelogram, hence opposite angles will be equal to each other, hence ,

(5y - 3) = (3y + 27)

5y - 3y = 3 + 27

2y = 30

y = 15

measure of Angle A = 5y - 3 = (5 * 15) - 3 = 75 - 3 = 72 degree

measure of Angle B = 180 degree - 72 degree= 108 degree ( adjacent angle in parallelogram sum to 180 degree )

This question can not be solved as it is incomplete. Still, i am adding some relevant information for your reference.

What is ratio?

In mathematics, ratios indicate the number of times one number contains another number. For example, if you have 8 oranges and 6 lemons in your fruit bowl, the ratio of oranges to lemons is 8 to 6 (that is, a ratio of 8:6, or 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to whole fruit is 8:14 (or 4:7).

A ratio number can be any kind of quantity, such as the number of people or things, length, weight, or time. In most contexts, both numbers are restricted to positive values.

This question can not be solved as it is incomplete. Still, i am adding some relevant information for your reference.

To know more about ratio, visit:

https://brainly.com/question/12024093

#SPJ1

The cost of one hotdog based on the given situation is $5

The correct answer option is Option C

let

Family A:

3h + 5w = 20

Family B:

6h + 3w = 33

Solve the two equations simultaneously:

3h + 5w = 20

6h + 3w = 33

Multiply (1) by 2

6h + 10w = 40

6h + 3w = 33

Substract the equations to eliminate h

10w - 3w = 40 - 33

7w = 7

divide both sides by 7

w = 7/7

w = 1

Substitute w = 1 into

3h + 5w = 20

3h + 5(1) = 20

3h + 5 = 20

3h = 20 - 5

3h = 15

divide both sides by 3

h = 15/3

h = 5

So therefore, the cost of one hotdog and one bottle water is $5 and $1 respectively.

Read more on simultaneous equation:

https://brainly.com/question/16863577

#SPJ1

Answer: the answer is 5 dollars

Step-by-step explanation: