What is the area of this rectangle? (4 points)

A rectangle completely covered in square units is partitioned into two rectangles. The first rectangle has a measurement of four centimeters along the top and seven centimeters along the side. The second rectangle has a measurement of two centimeters along the top and seven centimeters along the side.

Answer:

352

Step-by-step explanation:

it repeated more than once

The common ratio of the sequence is -1.5

The sequence is given as:

1,-1.5,2.25,-3.375

Divide the second term by the first to determine the common ratio (r)

r = T2/T1

This gives

r = -1.5/1

Evaluate

r = -1.5

Hence, the common ratio of the sequence is -1.5

Read more about common ratio at

https://brainly.com/question/2488421

#SPJ1

Answer:

Calculator soup can help just search for whatever your learning and add a calculator at the end

The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

From the given table, we see that;

Mean grade of Sidney = 82

Mean grade of Phil = 78.

Mean absolute deviation of Sidney = 3.28

Mean absolute deviation of Phil = 3.96.

The difference between the two means of Sidney and Phil = 82 - 78 = 4.

Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

Complete Question is;

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Read more about Mean Absolute Deviation at; https://brainly.com/question/447169

#SPJ1

Answer:

Ally

Step-by-step explanation:

The fastest time of the race will be the one lesser in value.

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

Comparing the tenths place :

⇒ Jill = 8 in the tenths place

⇒ Ally = 8 in the tenths place

⇒ Maria = 9 in the tenths place

Since Maria's time's tenth place value is greater than that of the other two, she had the slowest time.

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

Comparing the hundredths place (for Jill and Ally) :

⇒ Jill = 7 in the hundredths place

⇒ Ally = 2 in the hundredths place

Since Ally has the lower hundredths' place value, she has the fastest time.

The point (1,6) belongs to the solution region of the system of inequalities.

The system of inequalities is given as:

y>1.5^x + 4

y< 2/3x + 6

Next, we plot both inequalities on a graph (see attachment)

From the attached graph, the point (1,6) is on the solution region of the inequalities

Read more about system of inequalities at:

https://brainly.com/question/11234618

#SPJ1

Answer:a

Step-by-step explanation:Bottom line includes the end point so should be less than or equal. Top line does not so should be greater than

Answer:

D. 13

Step-by-step explanation:

13 is the answer I guess I hope it will be the right answer

Considering the given discrete probability distribution, it is found that [tex]P(2 < X \leq 4) = 0.14[/tex].

It give the probability of each outcome, and each outcome is represented by a countable number.

The desired probability is:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4)[/tex]

As there is an open interval at X = 2, it does not enter the calculation. The values are:

Hence:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4) = 0.1 + 0.04 = 0.14[/tex]

More can be learned about a discrete probability distribution at https://brainly.com/question/24802582

#SPJ1

#1

Volume

#2

Radius=10/2=5cm

Volume

#3

Volume

#4

#5

radius=8/2=4

Volume

Answer:

1)  314 cm³

2)  523.33 cm³

3)  87.92 in³

4)  11 cm

5)  502.4 cm³

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 5^2 \cdot 4\\& = 3.14 \cdot 25 \cdot 4\\& = 3.14 \cdot 100\\& = 314 \: \sf cm^3\end{aligned}[/tex]

[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3\quad\textsf{(where r is the radius)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =\dfrac{4}{3} \cdot 3.14 \cdot 5^3 \\& =\dfrac{4}{3} \cdot 3.14 \cdot 125 \\& =\dfrac{500}{3} \cdot 3.14 \\& = 523.33\: \sf cm^3\:(2\:dp)\end{aligned}[/tex]

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 2^2 \cdot 7\\& = 3.14 \cdot 4 \cdot 7\\& = 3.14 \cdot 28\\& = 87.92\: \sf in^3\end{aligned}[/tex]

[tex]\textsf{Volume of a square pyramid}=\sf \dfrac{1}{3} a^2h \quad\textsf{(where a is the base edge and h is the height)}[/tex][tex]\textsf{Area of base of square pyramid}=\sf a^2 \quad\textsf{(where a is the base edge)}[/tex]

Given:

[tex]\implies 81=a^2[/tex]

[tex]\implies a=\sqrt{81}[/tex]

[tex]\implies a=9\: \sf cm[/tex]

Substitute the given values into the formula and solve for h:

[tex]\begin{aligned}\implies \textsf{297} & =\dfrac{1}{3} \cdot 9^2 \cdot h\\\\297 & =\dfrac{81}{3} h\\\\891 & =81 h\\\\h & = 11 \: \sf cm\end{aligned}[/tex]

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume} & =3.14 \cdot 4^2 \cdot 10\\& = 3.14 \cdot 16 \cdot 10\\& = 3.14 \cdot 160\\& = 502.4\: \sf cm^3\end{aligned}[/tex]

Answer:

4.56 x 10 equals 45.6.

Step-by-step explanation:

When you multiply something by 10, you move the decimal place over to the right one, turning 4.56 into 45.6. I hope this helps! :)

Use the remainder theorem: we can decompose the given polynomial in terms of quotient and remainder polynomials [tex]q(x)[/tex] and [tex]r(x)[/tex], respectively, such that

[tex]x^4 - 5x^3 + x^2 - 10x - 5 = (x + 3) q(x) + r(x)[/tex]

Then letting x = -3 makes the quotient term vanish, and we're left with a remainder of

[tex]r(-3) = (-3)^4 - 5\times(-3)^4 + (-3)^2 - 10\times(-3) - 5 = \boxed{250}[/tex]

The length of the curve will be given by the definite integral

[tex]\displaystyle \int_0^1 \sqrt{\left(\frac{dx}{dt}\right)^2 + \left(\frac{dy}{dt}\right)^2} \, dt[/tex]

From the given parametric equations, we get derivatives

[tex]x(t) = 3t^2 + 5 \implies \dfrac{dx}{dt} = 6t[/tex]

[tex]y(t) = 2t^3 + 5 \implies \dfrac{dy}{dt} = 6t^2[/tex]

Then the arc length integral becomes

[tex]\displaystyle \int_0^1 \sqrt{\left(6t\right)^2 + \left(6t^2\right)^2} \, dt = \int_0^1 \sqrt{36t^2 + 36t^4} \, dt \\\\ = \int_0^1 6|t| \sqrt{1 + t^2} \, dt[/tex]

Since 0 ≤ t ≤ 1, we have |t| = t, so

[tex]\displaystyle \int_0^1 6|t| \sqrt{1 + t^2} \, dt = 6 \int_0^1 t \sqrt{1 + t^2} \, dt[/tex]

For the remaining integral, substitute [tex]u = 1 + t^2[/tex] and [tex]du = 2t \, dt[/tex]. Then

[tex]\displaystyle 6 \int_0^1 t \sqrt{1 + t^2} \, dt = 3 \int_1^2 \sqrt{u} \, du \\\\ = 3\times \frac23 u^{3/2} \bigg|_{u=1}^2 \\\\ = 2 \left(2^{3/2} - 1^{3/2}\right) = 2^{5/2} - 2 = \boxed{4\sqrt2-2}[/tex]

Answer:

Step-by-step explanation:

-2x^4 - 4y^3 + 4z^3 + 6 + 9x^4 + 3y^3 - 4z^3 - 9

7x^4 - y^3 - 3

Answer:

28x-3y-3

Step-by-step explanation:

(-2x × 4 - 4v × 3 + 4z× 3 + 6) - (-9× × 4 - 3v× 3 + 4

Multiply the monomials

（-8×-4y×3+ 42×3+6)-（-9××4-3y×3+42×3+9

Multiply the monomials

(-8x-12y + 4z × 3 + 6) - (-9x× 4 - 3y × 3 + 4z × 3 + 9)

Multiply the monomials

(-8x - 12y + 12z +6) - (-9× × 4 - 3y × 3 + 4z × 3 + 9)

Multiply the monomials

(-8x-12y +12z +6) - (-36x -3y × 3+ 4z × 3 + 9)

Multiply the monomials

(-8x-12y + 12z + 6) - (-36x - 9y + 4z × 3 + 9)

8×-12y+122+6-（-36×-9y+122+9

Remove the parentheses for addition or

subtraction

-8x - 12y + 12z + 6 + 36x + 9y - 12z - 9

-8x - 12y + 12z + 6 + 36x + 9y - 12z - 9

Reorder and gather like terms

(-8x + 36x) + (-12y + 9y) + (12z - 12z) + (6 - 9) 3 steps

Collect coefficients of like terms

(-8+36) ××+ (-12 + 9) × y+ (12 - 12) × z+ (6 - 9)

The table that represents an exponential function of the form y = [tex]b^{x}[/tex] when 0 < b < 1 is Table - 2. See the attached tables.

A function is exponential when its value is a constant that is raised to the power of the argument. This is so especially when the function of the constant is e.

Recall that the exponential function y = [tex]b^{x}[/tex] given that 0 < b < 1. Notice that the table number 2 see to the exponential function that has the following form:

y(x) = (1/3)ˣ

substituting the values of x into the equation, we have:

y(-3) = (1/3) ⁻³ = 27

x = -2; thus

y(-2) =  (1/3) ⁻³ = 9

x = -1; thus

y(-1) =  (1/3) ⁻³ = 3

x = 0; thus

y(0) =  (1/3) ⁻⁰ = 1

x = 1; thus

y(1) =  (1/3) ¹ = 1/3

x = 2; thus

y(2) =  (1/3) ⁻² = 1/9

x = 3; thus

y(3) =  (1/3) ⁻³ = 1/27

Therefore, according to the obtained values, one can summarize that the table that depicts the exponential function y  = bˣ is table 2.

learn more bout exponential functions at:
https://brainly.com/question/2456547

#SPJ1

Answer:

b) 4

Step-by-step explanation:

4 times $0.05 = $0.20

4 times $0.30 = $1.20

then you add the both totals together

0.20 + 1.20= $1.40

Answer:

1.8 ounces

Step-by-step explanation:

Let :

⇒ weight of a can of juice = x

⇒ weight of an energy bar = y

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

Equations formed :

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

Multiply Equation 1 by 2 :

⇒ 2 × (3x + 2y) = 2 × 33.6

⇒ 6x + 4y = 67.2 [Equation 3]

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

Subtract : Equation 3 - Equation 2

⇒ 6x + 4y - 4y - 2x = 67.2 - 27.2

⇒ 4x = 40

⇒ x = 10

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

Finding the weight of an energy bar :

⇒ 3(10) + 2y = 33.6

⇒ 2y = 3.6

⇒ y = 1.8 ounces

A number is divided in the ratio of 5:9. If the first part is 35, the number will be 7.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A number is divided in the ratio of 5:9. If the first part is 35, then we need to find the number.​

By unitary method

5x = 35

x = 7

Then the other number will be

9x = 9(7)

= 63

Thus, A number is divided in the ratio of 5:9. If the first part is 35, the number will be 7.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ1

By using the pythagoras theorum you can find an unknown leg of right angled triangle.

Hypotenuse side is in the front of the 90 degree angle and other two sides can be taken as base and perpendicular, so formula goes as :-

(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2

H^2 = B^2 + P^2

Step-by-step explanation:

Answer:

2,800

A = 2000(1 + (0.1 × 4)) = 2800

A = $2,800.00

Answer:

23

Step-by-step explanation:

Given Shane hits 5 HRs out of 100 At-bats,

[tex]\frac{x}{460} = \frac{5}{100} \\\frac{x}{460} (460) = \frac{5}{100} (460)\\x = 23[/tex]

The absolute value equation that satisfy the solution set of -4 and -8 is |2 - x| = -6

The solution sets on the number line are given as:

x = {-8, -4}

Calculate the average of the solutions

Mean = (-8 - 4)/2

Mean = -6

Calculate the difference of the solutions divided by 2

Difference  = (-4 + 8)/2

Difference = 2

The absolute value equation is the represented as:

|Difference - x | = Mean

Substitute known values

|2 - x| = -6

Hence, the absolute value equation is |2 - x| = -6

Read more about absolute value equation at:

brainly.com/question/2166748

#SPJ1

Answer:

|b+6|=2

Step-by-step explanation:

The dividend that's represented by the synthetic division is 2x³ + 10x² + x + 5.

From the information, given that the vertical line and a horizontal lines combined to form the L shape.

Row 1 has entries 2, 10, 1, 5.

Row 2 has entries -10, 0, -5.

In this situation, entry -5 is outside to the let of the shape.

Here, the dividend that's represented by the synthetic division is 2x³ + 10x² + x + 5.

Learn more about division on:

brainly.com/question/26410027

#SPJ1

Answer:

step 1: 2 Step 2: 1

Step-by-step explanation:

Step 3: 2, -1, -2

Complete the division. The remainder is 0. The quotient is x^2 - x - 12.

Answer:

-8

Step-by-step explanation:

If 3x-4y=2, then for any number a we also have a(3x-4y)=a(2) by multiplication property of equality.

Therefore, for a=-4 we have -4(3x-4y)=-4(2) which means the value of -4(3x-4y) is -8.

The value of equation - 4 (3x - 4y) will be;

⇒ - 4 (3x - 4y) = - 8

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The true equation is,

⇒ 3x - 4y = 2

Now,

Since, The true equation is,

⇒ 3x - 4y = 2   .. (i)

Hence, The value of equation - 4 (3x - 4y) is,

⇒ - 4 (3x - 4y)

Substitute from (i), we get;

⇒ - 4 (3x - 4y) = - 4 × 2

                      = - 8

Thus, The value of equation - 4 (3x - 4y) = - 8

Learn more about the multiplication visit:

https://brainly.com/question/28768606

#SPJ2

Answer:

Mr. Garcia had 5 kilograms of blueberries at first

Step-by-step explanation:

to make this easiest, we can imagine that we're undoing mr. garcia's actions.

So, we can start by 'unpacking' mr garcia's bags

we know that each of the nine bags had 1/4 kilograms, so we can multiply 1/4 by 9 to find the collective mass packed into bags

(remember, multiplication is repeated addition. we could also add 1/4 + 1/4 + 1/4... nine times, but this would take a while)

so,

1/4  x 9 = 9/4

(9 = 9/1 [if that is how you're used to multiplying a fraction])

Then, he also sold 2 3/4 kilograms

so, we can add 2 3/4 + 9/4 to find the total mass of the blueberries at first

2 3/4 + 9/4 =  2 + 12/4

(12/4 = 3)

2 + 3 = 5

So, Mr. Garcia had 5 kilograms of blueberries at first

The system of inequalities that represents the graph are y >  -x + 3 and y ≤  2x - 2

A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b

For the broken line, the coordinate points will be(0, 3) and (3, 0)

m = -3/3

m = -1

The equation of the line will be y >  -x + 3

For the solid line, the coordinate points will be(0, -2) and (1, 0)

m = 2/1

m = 2

The equation of the line will be y ≤  2x - 2

Hence the system of inequalities that represents the graph are y >  -x + 3 and y ≤  2x - 2

Learn more on inequality here; https://brainly.com/question/24372553

#SPJ1

The number of hours Nick took to reach the shopping mall in terms of r  is ; 3.14  hours.

Rate is a measure of a quantity using another quantity as the basis.

Analysis:

speed travelling on foot = r

distance travelled on foot = 5 miles

time taken = 5/r

speed travelling on bicycle 80 percent faster than on foot is 1.8r

distance travelled on bicycle = 8 miles

time taken = 8/1.8r = 40/9r

total time taken to get to the mall = 5/r + 40/9r = 85/9r

speed while walking = 3 miles per hour = r

time taken = 85/9 x 3 = 3.14 hours

In conclusion, number of hours Nick took to reach the shopping mall in terms of r is 85/9r is 3.14  hours.

Learn more about Time to reach a distance : https://brainly.com/question/17146782

#SPJ1

Answer:

3 hours 9 minutes

Step-by-step explanation:

hope you can send the questions again because your question is to long to answer everything. I answered 1,2,3,4