A seabird rescue center has a special habitat for birds that will be released soon. The habitat is shaped like a rectangular prism. The habitat has a ground area of 2,000 square meters that is covered in grass and sand. The height of the habitat is 9 meters. What is the volume of the bird habitat? This is not collage level.

Answer:

x=-28

Step-by-step explanation:

Step 1: Cross-multiply.

x+4

−6

=

8

2

(x+4)*(2)=(8)*(−6)

2x+8=−48

Step 2: Subtract 8 from both sides.

2x+8−8=−48−8

2x=−56

Step 3: Divide both sides by 2.

2x

2

=

−56

2

x=−28

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

Work Shown:

(x+4)/(-6) = 8/3

3(x+4) = -6*8 ... cross multiply

3x+12 = -48

3x = -48-12 ... subtract 12 from both sides

3x = -60

x = -60/3 ... divide both sides by 3

x = -20

---------------------

Check:

(x+4)/(-6) = 8/3

(-20+4)/(-6) = 8/3 .... replace every x with -20

(-16)/(-6) = 8/3

(-2*8)/(-2*3) = 8/3

8/3 = 8/3 ... the '2's cancel when dividing

We get the same number on both sides, so this confirms the solution.

Answer:

The answer is 96 yd 2

Step-by-step explanation:

5x7=35

4x7=28

3x7=21

then you add all of the total values together:

35+28+21+12=96

Answer:

96 its right

Step-by-step explanation:

ty to the person above

Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

So we have the equations:

    y - 4x = 2 --- equation 1

   5y - 2x = 1 --- equation 2

(equation 2) * 2

  10y - 4x = 2 --- equation 3

(equation 2) - (equation 3)

 -9y = 0   so y= 0 and thus x = -1/2

Hope that helps!

Answer:

grams, feet and gallons

Step-by-step explanation:

Hope this is right and helps

Answer:

the mass of the letter is measured by gram

the height of the house is measured by feet

the capacity of the bath is measured by gallons

Step-by-step explanation:

Ellen - 115/23

Classmates and Ellen got = 5 each

Answer:

15 and 20

Step-by-step explanation:

When dividing 88 by 5 we wil have;

88/5

= 17 3/5

= 17 + 0.6

=  17.6

So we are to find the two numbers that 17.6 falls in between

From the given option 17.6 falls between 15 and 20. Hence the required numbers are 15 and 20

Answer:

-65 is the right answerrr

Answer:

janajaaajwjjwwjwjwuwjwjjw

Answer:

5.67

Step-by-step explanation:

The scale factor of the height of the image is 7.89.

The scale factor is defined as the proportion of the new image's size to that of the previous image.  The scale factor is the ratio of the actual size to the scaled size of the object.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life.

The scale factor will be calculated as,

Scale factor = ( 30 / 3.8)

Scale factor = 7.89

To know more about scale factors follow

https://brainly.com/question/25722260

#SPJ2

Answer:

A. Negative correlation; as the amount spent increases, the number of people spendings that amount decreases.

It is so clear, just look at the graph and you will see exactly what im talking about

Answer:

a = 2

b = 1

c = 1

Step-by-step explanation:

The quadratic equation, 2x² + x + 1 = 0, is expressed in the standard form as ax² + bx + c, where a ≠ 0.

Thus,

a = 2

b = 1 (1 * x = x)

c = 1

Answer:

180

Step-by-step explanation:

Find the LCM of 12, 18, and 20

\(12 = 2 \times 2 \times 3\)

\(18 = 2 \times 3 \times 3\)

\(20 = 2 \times 2 \times 5\)

LCM = 2 × 2 × 3 × 3 × 5 = 180

Answer:

The vector represented in the preceding example is known as a velocity vector. The bearing of a vector v is the angle measured clockwise from due north to v. In the example, the bearing of the plane is 270° and the bearing of the wind is 225°.

Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Answer:

x-y-5=0

Step-by-step explanation:

x+1=1*(y+6)

x+1=y+6

x-y-5=0

Answer:

- L < 1, so by series ratio test, It is convergent

- sum of the convergent series is 49

Step-by-step explanation:

Given the data in the question;

series = 7 + 6 + 36/7 + 216/49 + .........

⇒ 7 + 7 × 6/7 + 7 × 36/49 + 7 × 216/343 +........

⇒ 7 + 7 × 6/7 + 7 × 6²/7² + 7 × 6³/7³ .....

⇒ 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )

⇒ 7 ∞∑_\(_{n=0\) \((\) 6/7 \()^n\)

⇒ ∞∑_\(_{n=0\) ( \(6^n\)/\(7^{n-1\) )

So, L =  \(\lim_{n \to \infty} | \frac{a_{n} + 1}{a_n} |\)

= \(\lim_{n \to \infty} | \frac{\frac{6^n+1}{7n} }{\frac{6^n}{7^n-1} } |\)

= \(\lim_{n \to \infty} | \frac{6}{7} |\)

= 6 /7

L < 1

so by series ratio test,

It is convergent

So we find the sun;

Sum of  infinite geometric series is;

⇒ a / (1-r)

here, a = first number and r = common ratio

∑ = 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )

a = 1 and r = 6/7

so

∑ = 7( \(\frac{1}{1 - \frac{6}{7} }\) )

= 7( \(\frac{1}{\frac{7-6}{7} }\) )

= 7( \(\frac{1}{\frac{1}{7} }\) )

= 7( 7 )

= 49

Therefore, sum of the convergent series is 49

Answer: Hi! All of the answers and work are below. Please double check on your work just to make sure. Hope this helped! :)

Step-by-step explanation:

attached below :)

Answer:

3) D = 11.99

4) A = 113.09

5) C = 7.53

6) C = 53.40

7) A = 113.09

Step-by-step explanation:

3) D = C ÷ π

D = (37.68) ÷ π

D = 11.9

4) R = D ÷ 2

R = (12) ÷ 2 = 6

A = πr^2

A = π 6^2

A = 113.09

5) C = 2πr

C = 2π (1.2)

C = 7.53

6) R = D ÷ 2

R = (17) ÷ 2

R = 8.5

C = 2πr

C = 2π (8.5)

C = 53.40

7) A = πr^2

A = π 6^ 2

A = 113.09

Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

Answer:

B) 40 yd²

Step-by-step explanation:

Square = 4x4=16

Triangle = 1/2x6x8=24

16+24=40 yd²

Answer:

The answer is B, 40yd2

Step-by-step explanation:

hope this helps

A geometric series is one in which there is a constant between two successive numbers in the series.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

Suppose the series is given as

2,4,8,16,32,64.........

The common difference is defined as the ratio of the next term to the previous term.

From the above series, the common ratio is calculated as,

Common ratio = 4 / 2

Common ratio = 2

To know more about geometric progression follow

https://brainly.com/question/12006112

#SPJ1

114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

Answer:

a) Null hypothesis: \( \mu \geq 863\)

Alternative hypothesis: \( \mu >863\)

b) For this case using the significance level of \(\alpha=0.05\) we can use the normal standard distirbution in order to find a quantile who accumulates 0.05 of the area in the left and we got:

\( z_{\alpha}=-1.64\)

And the rejection zone would be:

\( z<-1.64\)

c) For this case since the statistic calculated is lower than the critical value we have enough evidence to reject the null hypothesis at 5% of significance

d) \( p_v = P(z<-2.17) =0.015\)

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis at the significance level provided

Step-by-step explanation:

Part a

We want to test for this case if the true mean is significantly less than 863 calories so then the system of hypothesis are:

Null hypothesis: \( \mu \geq 863\)

Alternative hypothesis: \( \mu >863\)

Part b

For this case using the significance level of \(\alpha=0.05\) we can use the normal standard distirbution in order to find a quantile who accumulates 0.05 of the area in the left and we got:

\( z_{\alpha}=-1.64\)

And the rejection zone would be:

\( z<-1.64\)

Part c

For this case since the statistic calculated is lower than the critical value we have enough evidence to reject the null hypothesis at 5% of significance

Part d

For this case the p value would be given by:

\( p_v = P(z<-2.17) =0.015\)

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis at the significance level provided

Answer:

Option A

Step-by-step explanation:

Option A is an arithmetic sequence.

Each week, the salary goes up by a fixed $50.

To verify this, subtract any two consecutive weeks' salaries.

For example: $250 - $200 = $50; $350 - $300 = $50, etc.

The common difference in 50.

We have an arithmetic sequence with 20 terms. The first term is $200. We need to find the sum of the 20 terms.

The sum of an arithmetic sequence is given by the formula:

\( S_n = \dfrac{n}{2} \times [2a_1 + (n - 1)d] \)

S_n = sum of first n terms

n = number of terms = 20

a_1 = first term = 200

d = common difference = 50

\( S_{20} = \dfrac{20}{2} \times [2(200) + (20 - 1)(50)] \)

\( S_{20} = 10 \times [400 + 19(50)] \)

\( S_{20} = 10 \times [400 + 19(50)] \)

\( S_{20} = 13500 \)

Option A gives a total of $13,500 for the first 20 weeks.

Option B is a geometric sequence in which the salary goes up by 10% each week. To verify this, divide any salary by the previous week's salary.

For example: $220/$200 = 1.10; $266.20/$242 = 1.10; in each case, each salary is 1.1 times the previous week's salary which means a 10% increase. The common ratio of the geometric sequence is 1.1.

We need the formula for the sum of the first n terms of a geometric sequence.

\( S_n = \dfrac{a_1(1 - r^n)}{1 - r} \)

\( S_{20} = \dfrac{200(1 - 1.1^{20})}{1 - 1.1} \)

\( S_{20} = \dfrac{200(1 - 6.7274999)}{-0.1} \)

\( S_{20} = 11455 \)

Option B gives a total of $11,455 for the first 20 weeks.

Answer: Option A

Answer:

5/4, just sub in x

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

Answer:

.5 in every .33333333

Step-by-step explanation: