hello im stuck on this math question and need help. ty

Answer:

Width of rectangle = 4 meter

Length of rectangle = 18 meter

Step-by-step explanation:

Given:

Perimeter of rectangle = 44 m

Assume;

Width of rectangle = a

Length of rectangle = 2a + 10

Find:

Length and width

Computation:

Perimeter of rectangle = 2[l + b]

2[a + 2a + 10] = 44

3a + 10 = 22

3a = 12

a = 4

So,

Width of rectangle = a = 4 meter

Length of rectangle = 2a + 10 = 18 meter

In order to construct a Venn diagram for a survey, first enter the cardinality of the universal set to obtain subsequent cardinalities.

The universal set is the set of all possible outcomes, and the cardinality of a set is the number of elements in the set. Once you have the cardinality of the universal set, you can use it to calculate the cardinality of any other set in the survey.

For example, if the universal set has a cardinality of 100, and the survey asks people whether they like dogs or cats, you can calculate the number of people who like dogs by subtracting the number of people who like cats from the total number of people surveyed.

In order to construct a Venn diagram, you will need to draw two or more circles, each representing a set in the survey. The circles should be overlapping to represent the sets that have members in common.

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In order to construct a Venn diagram for a survey, first enter the cardinality of the to obtain subsequent cardinalities region. Then use

The number of apartment units needed to fill the shortage is 7.96 × 10⁶ residential apartment units.

The number of apartment units needed to fill the shortage is the same as the shortage itself, which is 7.96 × 10⁶ residential apartment units.

In the given statement, it is mentioned that there is a shortage of 7.96 × 10⁶ residential apartment units. This means that the current supply of apartment units in the United States falls short by that amount. To fill this shortage, an additional 7.96 × 10⁶ apartment units would be required.

Therefore, the number of apartment units needed to fill the shortage is 7.96 × 10⁶ residential apartment units.

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Answer:

Your answer......15 feet

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Answer:

B

Step-by-step explanation:

the answer is B because the size is different and the edges so B the answer is B

The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

Answer:

The value of x = √6/2

Step-by-step explanation:

Given

The hypotenuse of triangle = √2

Ф = 30°

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

here

Ф = 30°

Adjacent to 30° = x

hypotenuse = √2

so substituting

cos Ф = adjacent / hypotenuse

cos 30° = x / √2

x = √2 × cos 30°

x = √2 × √3 / 2

x = √6/2

Therefore, the value of x = √6/2

Answer:

3/8*11/3

Step-by-step explanation:

Answer: 0.070

Step-by-step explanation:

The question is asking you to estimate how many students completed the English 101 course.

1. Round 99 and 71 to 100 and 70

2. I am not completely sure but I believe the answer is 0.070?

3. Hope it helps! :)

We are given with the function \({\bf{f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}}\) and we need to find \({\bf \nabla f}\) , that's nothing but just the gradient of f(x,y,z) . But before starting let's recall ;

For a function F(x, y, z, ....) , the gradient is given by ;

So , now let's calculate the partial derivatives of f(x, y, z) first with respect to x , y and z one after other .So consider ;

\({:\implies \quad \sf f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}\)

Partial differentiating both sides w.r.t.x will yield ;

\({:\implies \quad \sf \dfrac{\partial f}{\partial x}=e^{x+y}\cos (z)+(y+1)at\dfrac{1}{\sqrt{1-x^{2}}}}\)

Simplifying will yield ;

\({:\implies \quad \sf \dfrac{\partial f}{\partial x}=\dfrac{e^{x+y}\cos (z)\sqrt{1-x^{2}}+(y+1)at}{\sqrt{1-x^{2}}}}\)

Now again consider ;

\({:\implies \quad \sf f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}\)

Partial differentiating both sides w.r.t.y will yield ;

\({:\implies \quad \sf \dfrac{\partial f}{\partial y}=e^{x+y}\cos (z)+\sin^{-1}(x)at}\)

Now , again consider ;

\({:\implies \quad \sf f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}\)

Partial differentiating both sides w.r.t.z will yield ;

\({:\implies \quad \sf \dfrac{\partial f}{\partial z}=-e^{x+y}\sin (z)}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{\nabla f=\bigg\{\dfrac{e^{x+y}\cos (z)\sqrt{1-x^{2}}+(y+1)at}{\sqrt{1-x^{2}}}\bigg\}\hat{i}+\bigg\{e^{x+y}\cos (z)+\sin^{-1}(x)at\bigg\}\hat{j}-\bigg\{e^{x+y}\sin (z)\bigg\}\hat{k}}}}\)

This is the required answer

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

The probability of pulling two of the same types of cookies in a row without replacement is \(\frac{51}{105}\).

Step-by-step explanation:

There are a total of 21 * 20 = 420 different outcomes (After you take one cookie out, you aren't replacing it, so there will be 20 cookies in the jar on the second grab). There are a total of 9 * 8 = 72 different combinations of two sugar cookies, and 12 * 11 = 132 different combinations of two snickerdoodle cookies, so the total probability of pulling two of the same types of cookies in a row without replacement is \(\frac{132+72}{420} = \frac{204}{420} = \frac{51}{105}\).

if y varies inversely as the same of x, and y=7/4 when x = 1 then value of y is 7/12 when x=3

If y varies inversely as the same of x, we can write the equation:

y = k / x

where k is the constant of proportionality.

Let us find the value of constant of proportionality k:

y = 7/4 when x = 1

7/4 = k / 1

Apply cross multiplication we get:

7/4 = k

k=7/4

Now plug in the value of k to find y when x = 3:

y = k /x

y = (7/4) / 3

When a fraction is divided by the whole number then fraction is multiplied with reciprocal of the whole number.

y=7/4×1/3

Multiply the numerators and denominators.

y=7×1/4×3

We know that 7×1  is 7 and 4×3 is 12.

y=7/12

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The comparison of the functions is

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

The graph of the two functions

For the linear function, we have

y-intercept = 0

Rate = 50/1 = 50

So, the function is

y = 50x

For the exponential function, we have

y-intercept = 1

Rate = 250/150 = 5/3

So, the function is

y = (5/3)ˣ

Comparing the functions, we have

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Answer:

perimeter=68cm

area=289cm^2

Step-by-step explanation:

the perimeter is 17+17+17+17=68cm

the area is 17×17=289cm^2

Answer:

2(x + y) = 2x + 2y

Hope this helped and brainliest please

Answer:

343 for both

Step-by-step explanation:

I had the same question

Part a; compounded semiannually (n = 2); CI =  $6,390.

Part b: compounded quarterly ( n = 4) ; CI =  $6,425

Part c: compounded monthly (n = 12): CI =  $6,450

Part d: compounded continuously; CI =  $6,467.

The compound interest is calumniated by formula.

A = P(1 + r/100n)∧nt

In which,

A  = amount after compounding

P = principal amount  ($20,000 )

n = number of time principal amount compounded in a year.

t = total time in years (7 years)

r= rate of interest (4%)

Part a; compounded semiannually (n = 2)

A = P(1 + r/100n)∧nt

A = 20,000(1 + 4/200)∧(2x7)

A = 26390

CI = A - P

CI =  26,390 -  20,000

CI =  $6,390.

Part b: compounded quarterly ( n = 4)

A = 20,000(1 + 4/400)∧(4x7)

A = 26425

CI = A - P

CI =  26,425 -  20,000

CI =  $6,425

Part c: compounded monthly (n = 12)

A = 20,000(1 + 4/1200)∧(12x7)

A = 26450

CI = A - P

CI =  26,450-  20,000

CI =  $6,450

Part d: compounded continuously.

P = P₀e∧rt

P = (20,000)(2.72)∧(0.04 x 7)

P = 20,000 x 1.32

P = 26,467

CI =  26,467 - 20, 000

CI =  $6,467.

Thus, the for compounded continuously is $6,467.

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3/4 = 12/y

3/4 * y = 12

.25 * y = 12

y = 3

Hope this helps! :)

Answer:

Step-by-step explanation:

LCM 3,4,5=3*4*5=60

Step-by-step explanation:

Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

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Answer:

Option 4: -6.1 - (-3.13)

Step-by-step explanation:

Let's solve each option individually to see if  -2.97 fits as the solution:

-6.1 - 3.13 = -9.23

-6.1 - (-31.3) = 25.2

-0.61 - (-3.13) = 2.52

-6.1 - (-3.13) =  -2.97

As you can see, -2.97 is the answer to Option 4.

So, the decimal -2.97 is the solution to the subtraction problem in Option 4.

Answer:

Its D

Step-by-step explanation:

Got it right brother

Answer:

Step-by-step explanation:

Put the ordered pairs into the slope formula x=y2-y1/x2-x1 then you will get your slope of the line. once you have your slope pick an ordered pair and put it in point slope y-y1=m(x-x1) distribute and you will get your answer.

formula of a linear equasion:

y=mx+b

m=slope of the formula

to find m:

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

plug in: \(\frac{4-2}{0-7} =\frac{2}{-7}\)

m= \(-\frac{2}{7}\)

y=\(-\frac{2}{7}\)x+b

b is the y intercept

plug in to find b:

\(2=7(-\frac{2}{7} )+b\\2=-2+b\\4=b\)

∴ \(y=-\frac{2}{7} x+4\)

Answer:

  (f -g)(2) = 14

Step-by-step explanation:

You can write the expression for the composite function as ...

  (f -g)(x) = f(x) -g(x) = (3x² +1) -(1 -x)

  (f -g)(x) = 3x² +x

Then for x = 2 ...

  (f -g)(2) = 3(2²) +2

  (f -g)(2) = 14

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