Name this figure

A. Rhombus
B. Rectangle
C. Square
D. Parallelogram


HELP ME PLEASE NOW !!

Answer:

x=15

Step-by-step explanation:

5x+19=2x+64

5x-2x=64-19

3x=45

x=15

Answer:

5x+19=2x+64

3x+I9=64

3x=45

I5

To sketch the region in the plane, we first consider the polar coordinates of a point in the plane. A point with polar coordinates (r, θ) is located at a distance r from the origin and an angle θ from the positive x-axis.

In this case, we are looking for points with polar coordinates that satisfy the conditions 0 ≤ r < 2 and π/3 ≤ θ ≤ π/2.

To visualize this region, we can start by sketching the circle with radius 2 centered at the origin. This circle represents all points with polar coordinates (r, θ) where 0 ≤ r < 2.

Next, we need to shade in the region between the lines θ = π/3 and θ = π/2. This region is the sector of the circle with center at the origin, radius 2, and angles between π/3 and π/2.

To sketch this region, we draw two lines from the center of the circle to the endpoints of the sector. Then, we shade in the area between these lines and the circle.

Overall, the region in the plane consisting of points whose polar coordinates satisfy the given conditions is the shaded sector of the circle with center at the origin, radius 2, and angles between π/3 and π/2.

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Answer:

Step by step explanation:

Here it is given that a boat travelled each way downstream and back . So while going back it would have travelled upstream.

And the time taken to go downstream is 6hrs and that of upstream is 126 hrs . So let us take ,

\(\longrightarrow v_{boat}= x \\\)

\(\longrightarrow v_{current}= y\)

As we know that ,

While going downstream, the speed will be ,

\(\longrightarrow v_d= x + y \dots (i) \)

And while up stream,

\(\longrightarrow v_u = x - y\dots (ii)\)

Also , we know that ,

\(\longrightarrow v = s\times t , \)

So that, while going downstream,

\(\longrightarrow v_d = \dfrac{126}{6}\\ \)

\(\longrightarrow v_d = 21 \dots (iii) \)

Again, while going upstream,

\(\longrightarrow v_u = \dfrac{126}{126}\\ \)

\(\longrightarrow v_u = 1 \dots (iv) \)

From equation (i) and (iii) , we have,

\(\longrightarrow x + y = 21 \dots (v)\)

And from (ii) and (iv) , we have,

\(\longrightarrow x-y = 1 \dots(vi)\)

On adding equation (v) and (vi) , we have;

\(\longrightarrow x+y+x-y = 21 +1 \\\)

\(\longrightarrow 2x = 22\\ \)

\(\longrightarrow x =\dfrac{22}{2} \)

\(\longrightarrow \underline{\underline{x = 11\ miles/hr }} \)

Substitute for x in (vi) ,

\(\longrightarrow 11 - y =1\\ \)

\(\longrightarrow y = 11-1\\\)

\(\longrightarrow \underline{\underline{ y = 10\ miles/hr}}\)

The speed of the boat in still water is 11 mph.

The speed of the current is 10 mph.

The speed of the boat in still water is calculated as follows;

va + vb = d/t

where;

va + vb = 126/6

va + vb = 21 ----(1)

The speed of the boat against the current is calculated as follows;

va - vb = d/t

va - vb = 126/126

va - vb = 1 ------ (2)

From equation (2) vb = 1 + va

va + 1 + va = 21

2va = 20

va = 10 mph

vb = 1 + 10 = 11 mph

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The estimation of 0.000007328 is \(7\times10^{-6\).

Estimation is he ability to guess the amount of anything without actual measurement.

The number (n) is given as:

\(\text{n}=0.000007328\)

Multiply by 1

\(\text{n}=0.000007328\times1\)

The number is to be rounded to the nearest millionth.

So, we substitute \(\frac{1000000}{1000000}\) for 1

\(\text{n}=0.000007328\times1\)

\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)

This becomes

\(\text{n}=7.328\times\dfrac{1}{1000000}\)

Express the fraction as a power of 10

\(\text{n}=7.328\times10^{-6\)

Approximate to a single digit

\(\rightarrow\bold{n=7\times10^{-6}}\)

Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).

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Answer:

Ounces

Step-by-step explanation:

Metric tons and tons is too much while kg is too little.

Answer:

its ounces

Step-by-step explanation:

Answer:

It's (1)

Step-by-step explanation:

It's (1) since it's not a constant rate so it's not (3) or (4) and it's increasing so it's not (2).

The value of standard deviation of the sample is 11.29 grams.

To calculate the standard deviation of a sample, we need to use the following formula:

s = sqrt [ Σ(xi - x)^2 / (n-1) ]

where s is the standard deviation of the sample, Σ(xi - x)^2 is the sum of the squared deviations of each data point from the sample mean, n is the sample size and x is the sample mean

To calculate the standard deviation for the weights of the 5 mice, we first need to find the sample mean:

x = (56 + 59 + 78 + 56 + 77) / 5 = 65.2

Next, we can calculate the sum of the squared deviations:

Σ(xi - x)^2 = (56 - 65.2)^2 + (59 - 65.2)^2 + (78 - 65.2)^2 + (56 - 65.2)^2 + (77 - 65.2)^2

= 82.36 + 41.64 + 156.64 + 82.36 + 147.56

= 510.56

Finally, we can calculate the standard deviation:

s = sqrt [ Σ(xi - x)^2 / (n-1) ] = sqrt [ 510.56 / (5-1) ] = sqrt [ 127.64 ] = 11.29

Therefore, the standard deviation is 11.29 grams.

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Answer:

\( \frac{5}{6} \: - \frac{5}{6} \)

Step-by-step explanation:

\( \sqrt{ \frac{25}{36} } = \frac{ \sqrt{25} }{ \sqrt{36} } = \frac{5}{6} \)

f(x) =3x-8 and g(x) = √x+2 are the function and their inverses intersect.

A function is a mathematical representation that maps one set of values to another set of values. The inverse of a function is a reflection of the original function over the line y=x, where the input and output are reversed.

For the function f(x) = 3x - 8, the inverse can be found by switching the input and output values, then solving for x.

In this case, we have

=> y = 3x - 8 and x = (y + 8)/3.

The two functions will intersect when the input value is equal to the output value, or when

=> 3x - 8 = (y + 8)/3.

Solving for x, we find that x = 4. This is the only intersection point between the two functions.

For the function g(x) = √x + 2, the inverse can be found by switching the input and output values, then solving for x.

In this case, we have

=> y = √x + 2 and x = y² - 2.

The two functions will intersect when the input value is equal to the output value, or when

=> √x + 2 = y² - 2.

Solving for x, we find that x = 4. This is the only intersection point between the two functions.

Therefore option (a) and (b) is correct.

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The inverse Laplace transform of X(s) = \(1/s^7\) is f(t) =\(t^6.\)

To locate the inverse Laplace rework of X(s) =\(1/(s^7\)), we are able to use algebraic manipulation and the inverse Laplace transform assets said in Theorem 7.2.1, which permits us to discover the original characteristic while given its Laplace rework.

Using the assets of the Laplace transform, we will rewrite the given expression as:

X(s) = \(x^-1(1/s^7) = (1/s^7)\)

We need to locate the feature f(t) such that its Laplace transform is X(s) = \(1/s^7\). By making use of Theorem 7.2.1, we understand that the inverse Laplace remodels of X(s) will give us f(t).

Now, we need to find a characteristic f(t) that has a Laplace transform \(1/s^7\). By examining the Laplace transform a desk or the usage of regarded formulas, we will decide that the Laplace remodel of \(t^n\)(wherein n is a high-quality integer) is given by means of\(n!/s^(n+1).\)

In our case, we're looking for a function whose Laplace remodel is\(1/s^7.\)Comparing this with the Laplace transform formulation cited earlier, we see that the exponent within the denominator of sought to be \(8 ^(7+1).\)

Hence, f(t) must be t^6 (given that 6+1 = 7), and its Laplace remodel maybe \(6!/s^7 = 720/s^7.\)

Therefore, the inverse Laplace transform of X(s) = \(1/s^7 is f(t) = t^6.\)

In precis, by applying algebraic manipulation and making use of the inverse Laplace rework assets, we determined that the inverse Laplace transform of \(1/s^7 is f(t) = t^6\). This approach that a unique feature corresponding to the given Laplace rework is \(t^6.\).

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Answer:

ff(x)=9x-48

Step-by-step explanation:

f(x)=3x-12

ff(x)=f(3x-12)

=3(3x-12)-12

= 9x-36-12

= 9x-48

\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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The difference between the two given temperature values is 24 °F

We have got an equation that can relate these three units of measurement of temperature, as given below:

c/5 = (F - 32)/9= (K - 273)/5

where C represents the measurement of a fixed temperature in celsius, F represents the measurement of that same intensity temperature in fahrenheit, and K represents the measurement of equally intense temperature in kelvin.

The given parameter the lowest temperature = -3 °F

the highest temperature = 21 °F

To determine the difference between the two given temperature values.

The range or difference between the two given temperature values is calculated as follows;

Range = highest - lowest

Range = 21 °F -(-3 °F)

Range = 24 °F

Thus, the difference between the two given temperature values will be 24 °F

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The monthly payment, M, is computed as follows:

where

P is the amount borrowed

r is the annual interest rate, as a decimal

n is the number of months

Substituting with P = $1,250, r = 0.135 (= 13.5/100), and n = 54 months, we get:

She will have to pay $31.01 every month.

Answer:

First drop down: 11 by 20

Second drop down: 110

Third drop down: 110

The new coordinates of the rectangle will be A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) .

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given, a parallelogram with the dimension of A(-3, -1), B(7, 9), C(8, -1), and D(-2, -11)

The rectangle around the parallelogram will cover the parallelogram with horizontal and vertical lines,

Thus the new coordinates of the rectangle will be:

A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) as shown in the figure,

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Complete question:

Answer:

14

Step-by-step explanation:

16-12                      

even: 12 14 16

You are 14!

8+8=16 and we are given that you are less than 16.

6+6=12 and we are given that you are more than 12.

So the number can be 13, 14, 15.

We are also given that the number is even.

And the only even number here is 14. And 14 has 2 digits.

Hope this helps!

~Just a joyful teen

\(-GraceRosalia\)

Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

To minimize the cost of fencing a rectangular field of 200 m2, we need to find the dimensions with the least total cost. Let's use the variables x and y for the length and width of the field, respectively. The area of the field is A = xy = 200 m2.
First, we'll find an equation relating x and y using the area: y = 200/x.
Next, we'll find the cost equation: Cost = 3x + 3x + 8y + 8y = 6x + 16y.
Now, substitute y in the cost equation: Cost = 6x + 16(200/x).
To minimize the cost, we'll find the derivative of the cost function with respect to x and set it equal to zero:
d(Cost)/dx = 6 - 3200/x^2 = 0.
Solving for x, we get x = 20 m. Then, using y = 200/x, we find y = 10 m.
Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

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Answer:

-6

Step-by-step explanation:

Hope I understand your "f(x) = 12 over the quantity of 4 x + 2" correctly

f(x) = 12 / 4x +2

Now so they want a f(-1), as u can see they substituted the x for - 1, therefor do that the same to the right side

f(-1) = 12/ 4(-1) + 2

f(-1) = 12 / - 4+2

= 12/ - 2

= - 6

The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.

Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.

In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.

The formula is SST = SSR + SSE ⇒ SSE = SST - SSR

The given values of the analysis of the variance problem are

SST = 120; SSR = 80

Then, the value of SSE = SST - SSR = 120 - 80 = 40

So, option b is correct.

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The contrapositive of the original conditional statement is "If a number is not negative, then it does not have a negative cube root."

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Answer:

"If a number is not negative, then it does not have a negative cube root."

Step-by-step explanation:

option d

Answer:

(502)2 - (498)2

Step-by-step explanation:

(502)2 - (498)2

Solution:

(502)2 -(498)2

Since the given algebraic expression is in the form of a2 – b2 so, here we will directly apply the formula a2 - b2 = (a + b) (a – b) to evaluate the difference of two squares.

The difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).

It is evaluated as: 104² - 96² = 1,600

Recall:

The difference of two squares, i.e. x² - y², can be expressed and evaluated as;

Given:

104² - 96²

The difference can be expressed and evaluated as shown below:

104² - 96² = (104 - 96)(104 + 96)

104² - 96² = (8)(200)

Therefore, the difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).

It is evaluated as: 104² - 96² = 1,600

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Step-by-step explanation:

Use the Distributive Property:

\(-2(5x-1)+7(5x-1)-3(5x+1)\)

\(-10x+2+35x-7+15x-3\)

P is correct.

Simplify:

\(40x-8\)

T is correct using FOIL or distribution.

Use the FOIL method to simplify:

Use 5x-1 then multiply with -2, 7, and -3.

Note: With -3, -5x + 1 is in the parenthesis, we need to change -3 to 3.

Changing -3 to 3 will equal the distribution of -3(-5x+1).

Our expression: \((5x-1)(-2+7+3)\)

S is correct.

If Leslie leaves $9,000 in a savings account for 3 years with an annual compound interest rate of 4 percent, the amount of money that will accumulate is approximately $10,174.88.

To calculate the future value of Leslie's investment, we can use the compound interest formula:

Future Value = Principal Amount * (1 + Interest Rate)^Time

Given that the principal amount is $9,000, the interest rate is 4 percent (or 0.04), and the time is 3 years, we can substitute these values into the formula:

Future Value = $9,000 * (1 + 0.04)^3

Future Value ≈ $9,000 * 1.124864

Future Value ≈ $10,174.88

Therefore, if Leslie leaves $9,000 in the savings account for 3 years at an annual compound interest rate of 4 percent, the amount that will accumulate is approximately $10,174.88.

This calculation demonstrates the relationship between interest rates, time, and future sums. As the interest rate increases, the future value of the investment also increases. Similarly, as the time period increases, the future value of the investment grows. This shows that higher interest rates and longer time periods have a compounding effect on the accumulation of funds. It emphasizes the importance of considering both the interest rate and the length of time when making financial decisions, as they significantly impact the growth of an investment.

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Answer:

V= 3180.87

Step-by-step explanation:

to know radius=

radius*2= diameter

reverse it to find radius

45 feet= radius*2

45 ÷2= radius = 22.5

\(V= \pi r^2\frac{h}{3}\) equation to find volume of a cone

\(V=\pi 22.5^2\frac{12}{3}\)  12 is from height

V≈ 6361.72512

Rounded V= 6361.73

Tank is half full so divide by 2

6361.73 ÷ 2= 3180.865

Rounded: V= 3180.87

(a)  The simplified profit function P(x) is P(x) = 13x - 770.

(b) The slope of the profit function is m = 13.

(a) To find the profit function P(x), we subtract the total cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x)

    = (22x) - (9x + 770)

    = 22x - 9x - 770

   = 13x - 770

Therefore, the simplified profit function P(x) is P(x) = 13x - 770.

(b) The slope of the profit function represents the rate of change of profit with respect to the quantity x. In this case, the slope of the profit function is the coefficient of x, which is 13.

Therefore, the slope of the profit function is m = 13.

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The probability of getting 2 six when a fair die is rolled 4 times is given as 1/216.

Probability for any event is the ratio of number of favorable events to the total possible events.

It deals with the measurement of the chance and its value is always in the interval [0, 1].

The sample space and the number of favorable outcomes are given as follows,

The total number of ways two 6 can come out of the 4 times = ⁴C₂ = 6

And, the total number of outcomes for the 4 roll of dice = 6⁴

Now, the probability is given as,

P(6 two times) = 6/6⁴ = 1/216

Hence, the probability of getting 2 six out of 4 throws of a dice is 1/216.

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