(a) The perimeter of a rectangular field is 310 m.
If the length of the field is 84 m, what is its width?

(b) The area of a rectangular painting is 5185 cm.
If the width of the painting is 61 cm, what is its length?

Answer:

60.2m

Step-by-step explanation:

area =breadth × width

220m^2 = x × 12.5

x = 17.6

perimeter = 2(a+b)

perimeter = 2(12.5+17.6)

perimeter = 60.2m

Answer:

D. X = 31

Step-by-step explanation:

[tex]4x = 124 \\ x = \frac{124}{4} \\ x = 31[/tex]

Answer: We have an odd number of pennies.

Step-by-step explanation:

So we have N pennies.

When we wan to divide the N pennies into groups of 2, we have a penny left over.

This means that N is not divisible by 2.

The problem is that there are infinite natural numbers that are not divisible by two, this is the set of odd numbers.

And remember that an odd number can be written as:

N = 2*k + 1.

where k is an integer.

Then we want to divide this by 2 (divide N into groups of 2)

we have:

N/2 = (2*k + 1)/2 = 2*k/2 + 1/2 = k + 1/2.

So we have k groups of 2 pennies, and a penny leftover that we can not divide into two.

Answer:

D. -2/5

Step-by-step explanation:

Slope=  [tex]\frac{delta Y}{Delta X} =\frac{-2}{5}[/tex]

Answer:

D

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (14, - 2)

m = [tex]\frac{-2-4}{14+1}[/tex] = [tex]\frac{-6}{15}[/tex] = - [tex]\frac{2}{5}[/tex] → D

Answer:

$40

Step-by-step explanation:

Let the original price of the item be x.

From the first statement, the price of the item was reduced 25% to $30. This means that new price of the item is now 75% (0.75) of the original price(x), and this new price is equal to $30. i.e

0.75x = 30

Now, let's solve for x.

0.75x = 30      [divide both sides by 0.75]

[tex]\frac{0.75x}{0.75}[/tex] = [tex]\frac{30}{0.75}[/tex]

x = 40.

Therefore, the original price of the item was $40

Step-by-step explanation:

40 is the answer for your question

Answer:520 billion

Step-by-step explanation:

Answer: 2.00e5

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think its 5/144=0.03472

Answer:

  B.  y = 4/3x + 1

Step-by-step explanation:

The offered choices are in slope-intercept form:

  y = mx + b

where m represents the slope (rise/run) and b represents the y-intercept.

The graph crosses the y-axis at y=1, so the y-intercept is +1. That eliminates choices A and D.

The slope is greater than 1, so choice C is eliminated. You know the slope is greater than 1 because the line goes up more than 1 unit for a 1-unit change to the right. If you look where the line crosses grid points, you see that it rises 4 units for a run of 3 units to the right. That means ...

  m = rise/run = 4/3

The equation is ...

  y = 4/3x +1 . . . . matches choice B

Answer:

B. y = 4/3x + 1

Step-by-step explanation:

First, find the slope using rise/run (y2 - y1) / (x2 - x1)

Use the points (0, 1) and (3, 5)

Plug in the numbers:

(5 - 1) / (3 - 0)

= 4/3

Looking at the graph, we can see the y intercept is (0, 1) so we can plug in 1 into the equation y = mx + b as b:

y = mx + b

y = 4/3x + 1

Answer: $1.80

Step-by-step explanation:

9=5x

9/5= 1.8

Answer:

F(x) = -3^(27)

According to the way the question was arranged, the answer above is the answer.

But the options given none of them matches my answer.

Step-by-step explanation:

A function is defined as (f of x)

= -3^4√x-9.

F(x)= -3^(4√x-9) at x= 81

√x= √81

√x= 9

F(x)= -3^(4(9)-9)

F(x) = -3^(36-9)

F(x) = -3^(27)

The equation is y = x +3 .

We have to check which one of the option does not fulfill the given equation .

Taking 1st option :-

Where x = -10 and y = -7

→ -7 = - 10 +3

→ -7 = -7

Hence this lies on graph.

Taking 2nd option :-

Where x = 13 and y = 16

→ 16 = 13 + 3

→ 16 = 16

It also lies on graph .

Taking 3rd option :-

→ Where x = -14 and y = -11

→ -11 = -14 +3

→ -11 = -11

This will also lie on graph .

Taking 4th option :-

Where x = -20 and y = 17

→ 17 = -20 + 3

→ 17 = 17

This will also gonna lie on graph .

Answer:

New segment AD = 10 units

Step-by-step explanation:

Given:

AB = 5 units

CD = 5 units

Find:

New segment AD.

Computation:

⇒ New segment AD = AB + CD

⇒ New segment AD = 5 units + 5 units

⇒ New segment AD = 10 units

Step-by-step explanation:

Let the number is n. We need to write an expression for "seven less than the quotient of nineteen and a number"

The quotient of nineteen and a number is [tex]\dfrac{19}{n}[/tex] and 7 less than this is [tex]\dfrac{19}{n}-7[/tex]

Now if n = 2, put the value of n in above expression,

[tex]\dfrac{19}{n}-7=\dfrac{19}{2}-7\\\\=\dfrac{5}{2}\\\\=2.5[/tex]

So, the value of the above expression is 2.5 at n = 2.

Answer:

19/n-7

and 2.5

Step-by-step explanation:

If u actually read the other guy's work

Answer:

The critical region is F >F ₀.₀₁ (2,18) = 6.01

Step-by-step explanation:

For 1 way ANOVA the degrees of freedom Between Samples would 2 and within Samples would be 18 .

Alpha is given  to be = 0.01

v1 = k-1 and v2 = n-k

Where k is the number of rows and n is the total number of values

v1= 3-1= 2   and v2 = 21-3= 18

So if we look up the table we find the values of the critical region to be 6.01

Hence the critical region is less and equal to 6.01

The critical region is F >F ₀.₀₁ (2,18) = 6.01

Answer:

C (Your chosen answer) is correct

Step-by-step explanation:

AA (Angle-Angle) Similarity postulate is exactly what it sounds like: Two triangles can be proven similar if they have two congruent angles.

We can tell what angles are congruent through the markings:

(A) and (B) can be immediately be eliminated, because one or more tringle in the pair does not have enough markings to prove congruency, so therefor cant be proven to be similar.

(D) is a little more difficult to decipher, but when you look closely, you can tell that the markings are not identical, so therefor  the angles are not congruent.

(C) is correct because it has identical markings which makes the angles congruent.

Hope this helps :)

Option C is correct because it has identical markings which makes the angles congruent by AA.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Two triangles can be proven similar if they have two congruent angles.

Option A and B are not similar through AA because one or more tringle in the pair does not have enough markings to prove congruency, so therefore they are not similar.

Option C is correct because it has identical markings which makes the angles congruent by AA.

Hence, Option C is correct because it has identical markings which makes the angles congruent by AA.

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Answer:

48 burpees & 80 squats

Step-by-step explanation:

Let burpees= x

Let squat = y

For every 12 burpees Melinda did, she did 20 squats.

X/y =12/20

20x= 12y

X= 0.6y

Melinda did a total of 128 squats and burpees

X+y= 128

But x= 0.6y

0.6y +y= 128

1.6y= 128

Y= 128/1.6

Y= 80

X+y= 128

X+80= 128

X=128-80

X= 48

Answer:

Step-by-step explanation:

f(x) = cx + d

For the first equation

f(50) = 27,000

Substitute the value of x that's 50 into the expression

That's

50c + d = 27,000

For the second equation

f(100) = 38,000

Substitute the value of x that's 100 into the expression

We have

100c + d = 38,000

Subtract the first equation from the second one to eliminate d

That's

100c - 50c + d - d = 38,000 - 27,000

50c = 11,000

Divide both sides by 50

We have the final answer as

Hope this helps you

Answer:

5x² + 2x - 15 = 0

Step-by-step explanation:

Given

[tex]\frac{6}{x}[/tex] = 2x + [tex]\frac{4}{5}[/tex]

Multiply through by 5x ( common denominator )

30 = 10x² + 4x ( subtract 30 from both sides )

0 = 10x² + 4x - 30 ( divide through by 2 )

0 = 5x² + 2x - 15 , that is

5x² + 2x - 15 = 0

For number 5 - .3 ( 3.60 ÷ 12 = .3)

For number 6 - .32 ( 2.56 ÷ 8 = .32)

For number 7 - 2 ( 2.36 ÷ 2 = 1.18)

Answer:

[tex]as \: we \: know \: perameter \: of \: rectngle = 2(length \ + beadth)[/tex]

[tex]and \: also \: perimeter \: = 224cm[/tex]

[tex]therefore \: we \: can \: write \: that 2(length + bredth) = 224cm [/tex]

let the length be l

and breadth is 55 cm

[tex]2(l + 55) = 224[/tex]

[tex]l + 55 = \frac{224}{2} [/tex]

[tex]l + 55 = 112[/tex]

[tex]l = 112 - 55[/tex]

[tex]l = 57[/tex]

so the length of rectangle is 57 cm

Answer:

x = 19.5, RQS=43

Step-by-step explanation:

It is important to note that RQS and TQS are supplementary, meaning their angles will add up to 180. Knowing this, we can create and solve the equation to find x..

(2x+4) + (6x+20) = 180

8x + 24 = 180

8x = 156

x = 19.5

Now that we know the value of x, we can substitute it into the equation for RQS, 2x+4.

2(19.5)+4

39+4

43

Hope this helped!

Answer:

[tex]x=19.5^o[/tex]

[tex]\angle RQS=43^o[/tex]

Step-by-step explanation:

Notice that the addition of these two angles give you and angle of [tex]180^o[/tex], therefore we can write the following equation to represent such addition:

[tex](2x+4)^o + (6x+20)^o=180^o\\2x+6x+4^o+20^o=180^o\\8\,x+24^o=180^o\\8\,x=180^o-24^o\\8\,x=156^o\\x=156^o/8\\x=19.5^o[/tex]

Therefore, the value of the angle RQS is:

[tex]\angle RQS=(2\,x+4)^o=(2\,*\,19.5^o)+4^o=43^o[/tex]

Answer:

Step-by-step explanation:

Since we have been given the legs of the right angled triangle we can use Pythagoras theorem to find the hypotenuse

That's

[tex] {h}^{2} = {b}^{2} + {c}^{2} [/tex]

where

h is the hypotenuse

The legs of the triangle are 18 and 34 so the hypotenuse is

[tex] {h}^{2} = {18}^{2} + {34}^{2} [/tex]

[tex]h = \sqrt{324 + 1156} \\ h = \sqrt{1480} \\ h = 2 \sqrt{370} [/tex]

h = 38.47076

We have the final answer as

Hope this helps you

Answer:

38.5

Step-by-step explanation:

Hello!

To find the length of a missing side of a right triangle we use the equation

[tex]a^{2} +b^{2} =c^{2}[/tex]

a is a leg

b is the other leg

c is the hypotenuse

Put in what we know

[tex]18^{2} +34^{2}= c^{2}[/tex]

Simplify

[tex]324+1156 = c^{2}[/tex]

Simplify

[tex]1480 = c^{2}[/tex]

Take the square root of both sides

38.470 = c

Round to the nearest tenth

38.5 = c

Hope this helps!

Hey there! I'm happy to help!

We have two values for y. Since y=y, this means that −2x + 4 and − 1/3x − 1 are equal as well, so we can put them in an equation and solve for x.

−2x + 4 = − 1/3x − 1

We subtract 4 from both sides.

-2x=-1/3x-5

We add 1/3 x to both sides.

-5/3x=-5

We divide both sides by -1 2/3.

x=3

Now, we plug this into one of the original equations to find y.

y=-2(3)+4

y=-6+4

y=-2

Therefore, the solution is (3,-2) or x=3 and y=-2.

I hope that this helps! Have a wonderful day! :D

Answer:

1. 68% owned a TV

2. 20,000.00

Step-by-step explanation:

1. answer is in the question

2. if Ansah got 5,000.00 more that Bondu that means Ansah is 5, if Ansah is 5 and gets 5,000.00 more that means the difference of 1 is 5,000.00 or 1= 5,000.00

4*5,000.00 = 20,000.00

Answer:

60, 120 and 180.

Step-by-step explanation:

It maps onto itself every 60 degrees.

So as they are multiples of 60 it will map onto itself at 120 and 189 degrees also.

The measure of the angle by which David can rotate the hexagon to map it onto itself is 60°, 120°, and 180°. The correct options are C, D, and E.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

Given that David uses drawing software to rotate the regular hexagon about its center. Now, since the measure of the center angle of a hexagon made by any of its sides is 60°.

Further, if the hexagon is rotated by any angle that is divisible by 60° then it will result in the same hexagon.

Hence, the measure of the angle by which David can rotate the hexagon to map it onto itself is 60°, 120°, and 180°.

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Answer:

The correct options are b, c and d.

Step-by-step explanation:

The regression or data mining approach is used to predict the future value of the variable under study.

Whereas the probability model is used to predict the chances or likelihood of an event taking place.

To predict which customer is most likely to churn in the next year, we need to compute the probability for customers who are likely to churn in the next year.

Thus, a probability model would be used.

Each brand has a specific probability of being purchased by a customer.

Thus, a probability model would be used.

In this case also we need to compute the probability of a customer buying the brand at least once in the next year.

The correct options are b, c and d.

Answer:

[tex]\displaystyle \int\limits^{\frac{1}{2}}_0 \int\limits^{4 - 8x}_0 \int\limits^{4 - 8x - y}_0 {} \, dz \ dy \ dx = \frac{4}{3}[/tex]

General Formulas and Concepts:

Calculus

Integration

Integration Rule [Reverse Power Rule]:                                                           [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                 [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                     [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                   [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Multivariable Calculus

Integration

Fubini’s Theorem [Box]:                                                                                     [tex]\displaystyle \iiint_R{f(x, y, z)} \, dV = \int\limits^{b_1}_{a_1} \int\limits^{b_2}_{a_2} \int\limits^{b_3}_{a_3} {f(x, y, z)} \, dx \, dy \, dz[/tex]

Volume Formula:                                                                                               [tex]\displaystyle V = \iiint_D \, dV[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

Given: Tetrahedron Solid

Function: 8x + y + z = 4 and coordinate planes x, y, and z

Step 2: Find Volume Pt. 1

Find limits of integration for each variable.

Step 3: Find Volume Pt. 2

∴ the volume of the given tetrahedron solid is equal to 4/3.

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Topic: Multivariable Calculus

Unit: Triple Integrals

Answer:

Step-by-step explanation:

Given;

smallest possible length of the international soccer field, L₀ = 100 m

smallest possible breadth of the international soccer field, B₀ = 64 m

Largest possible length of the international soccer field, L₁ = 110 m

Largest possible breadth of the international soccer field, B₁ = 75 m

Area of a rectangle is given by;

A = L x B

The smallest area the field could be is calculated as;

A₀ = L₀ x B₀

A₀ = 100 m x 64 m

A₀ = 6,400 m²

The largest area the field could be is calculated as;

A₁ = L₁ x B₁

A₁ = 110 m x 75 m

A₁ = 8,250 m²

Answer:

210 stamps

Step-by-step explanation:

Given:

Yusuf gave x stamps to Arthur, then:

Bill gave Arthur 42 stamps more than Yusuf gave to Arthur, then:

Now all 3 have same amount of stamps:

From the first part of the equation we get:

How many stamps did Yusuf have at first?

Yusuf had 210 stamps at first

Answer: C

Step-by-step explanation:

The formula to find average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. Since the problem is asking for the average rate of change from the second to fifth year, we plug in a=2 and b=5.

[tex]\frac{f(5)-f(2)}{5-2}[/tex]

f(5)=420.4

f(2)=408.04

[tex]\frac{420.4-408.04}{5-2}=4.12[/tex]

Now, we get 4.12 dollars per year for the average rate of change.