Operations and
Algebraic
Thinking

4 divided

by 39

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer:

c) 1

Step-by-step explanation:

f(x) = g(x)

-x+2 = 5x-4

+x       +x

2 = 6x -4

+4      +4

6 = 6x

(divide both sides by 6)

1 = x

Given data:

The first term of geometric series is 4.

The second term of geometric series is 12.

The expression for the common ratio is,

The expression for the 10th term is,

Thus, the 10th term is 78,732.

The fraction of the area of the tray occupied by the blondies is 1/9.

To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.

Let's calculate the area of each individual blondie:

The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.

Now, let's calculate the area occupied by the blondies in each row:

Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.

So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.

Next, let's determine the area occupied by the brownies:

The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.

Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.

Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.

Now, let's calculate the total area of the tray:

Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:

Total area of the tray - Area occupied by the brownies = Area occupied by the blondies

648 square inches - 576 square inches = 72 square inches.

So, the fraction of the area of the tray occupied by the blondies is:

Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:

72 square inches / 648 square inches = 1/9.

Therefore, the blondies' percentage of the tray's surface area is 1/9.

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Answer:

The number in the green box should be 3.

Step-by-step explanation:

\(c + 4 {c}^{2} - 2 + 2c - {c}^{2} + 5 = 3 {c}^{2} + 3c + 3\)

Answer:

Step-by-step explanation:

3(3) = 9

15-3=12

12(9)= 108

7(9)=63

ans : 183

Answer:

252-232=20-1=19

Step-by-step explanation:

the question said in between so you don't count the first and the last numbers

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

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Answer:3418

Step-by-step explanation:

The volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.

To find the volume of a cylinder, you can use the formula:

Volume = π * r² * h

Given:

Radius (r) = 8 ft

Height (h) = 17 ft

Plugging these values into the formula, we can calculate the volume:

Volume = π * (8 ft)² * 17 ft

= π * 64 ft² * 17 ft

≈ 3418.05 ft³

Rounding the volume to the nearest tenth, we get:

Volume ≈ 3418.1 ft³

Therefore, the volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.

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Answer:

d

Step-by-step explanation:

range means y values so automatically a and b aren't right

there's no limits for y since it's linear, so it's D

that R sign basically means "all real numbers"

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Answer:

30mm is the answer to the question

Answer:

1cm=10mm so 3cm=3x10mm

=30mm

Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

Step-by-step explanation:

fufj5655 and I hope that you will be able to help me with the following to help me with the application for the role of the temple and many other people in the forest and a small village known as change in indirect speech to be the oldest

Answer:

Ali's mark= 40

Ahmad's mark= 85

Step-by-step explanation:

Let x be Ali's mark and y be Ahmad's mark.

y=2x+5

x+y=125

x+2x+5=125

3x=120

x=40

y=85

Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

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The 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).

What is confidence interval?

A confidence interval is defined as the estimate's mean plus and minus the estimate's range.

We are given that the mean(x) = 50.560, s = 1.68, and the sample size is over 30.

Using the formula, we get

95% confidence interval

⇒Mean(x) (+/-) 1.96 (1.68/v40)  

⇒(50.560 - 0.511 , 50.560 + 0.511)

⇒(50.049, 51.071)

99% confidence interval

⇒Mean(x) (+/-) 2.576 (1.65/v40)

⇒(50.560 - 0.672, 50.560 + 0.672)

⇒(49.888, 51.232)

Hence, the 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).

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The coordinates of the resulting point after the reflection are (-5, -5)

When we do a reflection over a given line, the perpendicular distancee between the line and the point is invariant.

In this case, we want to reflect the point (-5, -1) over the line y = -3

The distance between the y-value of the point and the line is:

D = |-1 - (-3)| = | -1 + 3| = 2

The point is at 2 units (above) from the line, then after the reflection, the point will be 2 units below the line.

So the new y-value is:

y = -3 - D = -3 - 2 = -5

The coordinates of the resulting point are (-5, -5).

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Usually, time is the independent variable, so it goes in the x-axis.

Position is similar to distance, and spedd is the rate of variation of position or distance. All of these three are usually graphed in the y-axis, as they depend on time.

Answer:

2x(sinx^2 + x^2cosx^2).

Step-by-step explanation:

We use the product rule:

If u and v are functions of x then:-

d(uv)/dx = u dv/dx + v du/dx

So:

d(x^2 sinx^2)dx

=  x^2 * d(sinx^2)/dx + sinx^2 * d(x^2)/dx

= x^2 * 2xcosx^2 + sinx^2 * 2x

=  2x^3cosx^2 + 2xsinx^2

= 2x(sinx^2 + x^2cosx^2).

Answer:

8.01 Is the answer your welcome

Answer:

Option C

Step-by-step explanation:

Linda used the first step that results in,

4x + 7 - 3x = (1 + 4x) + 5x

As Linda changed the sign of (3x) to (-3x), it doesn't matches the original equation.

So she is not correct.

Roy used the first step as,

4x + 3x - 7 = 1 + (4x + 5x)

He has used the associative property in the right hand side of the given equation.

Associative property → (a + b) + c → a + (b + c)

Therefore, he is correct.

Option C is the correct option.

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Answer:

1440

Step-by-step explanation:

Because you just have to mulitply by four to get the answer...

25% x 4 = 100%

360 x 4 = 1440

Answer:

B) 2

Step-by-step explanation:

Is BK bisecting CD?

x + 1 = 2x -1  Subtract x from both sides

1 = x -1  Add 1 to both sides

2 = x

Step-by-step explanation:

(x-2)^2 + (y-9)^2   = r^2

this is of the form fora circle with center  h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

for the equation given   center =   2, 9    and radius = r

The expression sin2x is a trigonometric expression

The equivalent of sin2x is (d) 2sinxcosx

The expression is given as:

sin2x

Rewrite properly as:

sin(2x)

To solve the expression, we make use of the following double angle ratio

sin(2a) = 2sin(a)cos(a)

Substitute x for a in the above equation

sin(2x) = 2sin(x)cos(x)

Rewrite the equation as

sin2x = 2sinxcosx

Hence, the equivalent of sin2x is (d) 2sinxcosx

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Answer:

D

Step-by-step explanation:

A P E X

Answer:

Angle x = 90 - 47 = 43 degrees

Angle g = 90 - 43 = 47 degrees

Step-by-step explanation: