select the expression that is equivalent to (3d^4)^2

A. 6d^6
B. 9d^8
C. 9d^6
D 3d^8​

Step-by-step explanation:

Since Q and R are complementary,

⇒ Q + R = 90°

Since Q is 26° less than the measure of R

⇒ R - 26° = Q

We can therefore say that ( R - 26°) + R = 90°

⇒              2 R = 90° + 26°

                    R = 58 °

Also, since  R - 26°   = Q

                   58° - 26° =  Q

                            32 ° = Q

Step-by-step explanation:

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given pair of linear equations are

[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7 \\ \\ \rm :\longmapsto\:0.7x - 0.2y = 0.8[/tex]

can be rewritten as on multiply by 10,

[tex]\rm :\longmapsto\:4x + 3y = 17 - - - - (1)\\ \\ \rm :\longmapsto\:7x - 2y = 8 - - - - - (2)[/tex]

[tex]\rm :\longmapsto\:2y = 7x - 8[/tex]

[tex]\rm\implies \:\boxed{\tt{ y = \frac{7x - 8}{2}}} - - - - (3) [/tex]

On substituting the value of y in equation (1), we get

[tex]\rm :\longmapsto\:4x + 3\bigg( \dfrac{7x - 8}{2} \bigg) = 17[/tex]

[tex]\rm :\longmapsto\:\dfrac{8x + 21x - 24}{2} = 17[/tex]

[tex]\rm :\longmapsto\:29x - 24 = 34[/tex]

[tex]\rm :\longmapsto\:29x = 34 + 24[/tex]

[tex]\rm :\longmapsto\:29x = 58[/tex]

[tex]\bf\implies \:x = 2 - - - - (4)[/tex]

On substituting x = 2 in equation (3), we get

[tex]\rm :\longmapsto\:y = \dfrac{7 \times 2 - 8}{2} [/tex]

[tex]\rm :\longmapsto\:y = \dfrac{14 - 8}{2} [/tex]

[tex]\rm :\longmapsto\:y = \dfrac{6}{2} [/tex]

[tex]\bf\implies \:y = 3[/tex]

So, we get

[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\bf{x = 2} \\ \\ &\bf{y = 3} \end{cases}\end{gathered}\end{gathered}[/tex]

From equation (1),

[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7[/tex]

On substituting the value of x and y, we get

[tex]\rm :\longmapsto\:0.4(2) + 0.3(3) = 1.7[/tex]

[tex]\rm :\longmapsto\:0.8 + 0.9 = 1.7[/tex]

[tex]\rm :\longmapsto\:1.7 = 1.7[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

To solve systems using Method of Substitution, follow this procedure:

1. Select one equation and solve it for one of its variables.

2. In the other equation, substitute the value of one variable evaluated in step 1 to reduced the equation to one variable.

3. Solve the equation to get the value of this variable

4. Substitute the value found in to first equation involving both variables and solve for the other variable.

Answer:

7,200

Step-by-step explanation:

1h=60min

120h=7,200min

7,200 minutes is equal to 432,000 seconds.

7,200 minutes is equal to 432,000,000,000,000 nanoseconds

7,200 minutes is equal to 432,000,000,000 microseconds.

7,200 minutes is equal to 5 days.

7,200 minutes is equal to 0.71 weeks.

its 7,200 minutes

Answer:

-25

Step-by-step explanation:

We're given the sigma notation of a series.

[tex] \mathsf{ \sum _{k = 1} ^{5}(2k - 11) }[/tex]

The variable k is the "index of notation"

The expression can be read as the sum of (2k- 11) as k goes from 1 to 5.

"To generate the terms of a series given in sigma notation, successively replace the index of summation with consecutive integers from the first value to the last value of the index" ~internet

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

To generate the terms of the series given on sigma notation above, replace k by 1, 2, 3, 4, and 5 and add the terms, to get the answer to the given notation.

[tex]\mathsf{ \sum _{k = 1} ^{5}(2k - 11) } \\ = \mathsf{ \overline{2(1) - 11} + \overline{2(2) - 11} + \overline{2(3) - 11} } \\ \mathsf{ + \overline{2(4) - 11} + \overline{2(5) - 11}}[/tex]

[tex] = \mathsf{\overline{2 - 11} +\overline{4 - 11} + \overline{6 - 11} } \\ \mathsf{\overline{8 - 11} + \overline{10- 11}}[/tex]

[tex] = \mathsf{ - 9- 7 - 5 - 3 - 1}[/tex]

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

[tex] \mathsf{ \underline{- 25}}[/tex]

______________________

[tex] \mathfrak{ \overline{There \: You \: Are!}}[/tex]

Let's see

[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^2_{k=1}}}(2k-11)[/tex]

[tex]\\ \rm\Rrightarrow 2(1)-11+2(2)-11+2(3)-11+2(4)-11+2(5)-11[/tex]

[tex]\\ \rm\Rrightarrow 2-11+4-11+6-11+8-11+10-11[/tex]

[tex]\\ \rm\Rrightarrow 30-55[/tex]

[tex]\\ \rm\Rrightarrow -25[/tex]

The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage is correct statement.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

A transformation allows something(shape) to  moves, flip, or changes a shape (called the preimage) to create a new shape.

The length or angle of the image is not changed by translation but stretching will change the angle of image.

By  transformation rules A,B C are false.

The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage. is correct statement.

Hence, The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.

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Step-by-step explanation:

The percent of increase in Katie's memorization of multiplication facts this week is 40%. Option C

To calculate the percent of increase for Katie's memorization of multiplication facts this week, we need to find the difference between the number of facts she memorized last week and this week, and then express that difference as a percentage of the original value.

Number of multiplication facts memorized last week: 40

Number of multiplication facts memorized this week: 56

To find the difference in the number of facts, we subtract the number memorized last week from the number memorized this week:

56 - 40 = 16

The difference is 16.

To calculate the percent of increase, we divide the difference by the original value and multiply by 100:

(16 / 40) * 100 = 40

The percent of increase in Katie's memorization of multiplication facts this week is 40%.

Therefore, the correct answer is C) 40%.

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Answer:

∠3 = 95°

∠4 = 85°

Step-by-step explanation:

Angle 3 and the angle that is already given are Corresponding angles meaning they will be equal.

Angle 3 and Angle 4 are Supplementary angles so their degrees add up to 180°.

Hope this helps!

The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

1 cm : 0.8m

30 cm in the drawing would be:

= 0.8 x 30

= 24 m outside

13.75cm in the drawing would be:

= 0.8 x 13.75

= 11 m outside

Area of a rectangle (which is what the dimensions resemble):

= Length x width

= 24 x 11

= 264 m²

In conclusion, the area of the tennis court is 264 m²

Answer:

Solution by graphing: (5, 2)

Step-by-step explanation:

y = x - 3  

y = - 3/5x + 5

To solve systems of linear equations graphically, you'll have graph each equation using 2 pairs of points.  

A great starting point is always using its intercepts:

y = x - 3

where the y-intercept is (0, -3).

To find its x-intercept, set y = 0 and solve for the value of x:

y = x - 3

0 = x - 3

Add 3 to both sides:

0 + 3 = x - 3 + 3

3 = x

Therefore, the x-intercept = (3, 0).

y = - 3/5x + 5

where the y-intercept is (0, 5).

Next, you could find a value of x that easily cancels out the fraction given by the slope (m) = -3/5. An input value of x = 5 cancels out the denominator of the slope:

y = - 3/5x + 5

y = - 3/5(5) + 5

y = -3 + 5

y = 2

Therefore, the other point that you could use to plot on the graph is (5, 2).

For y = x - 3, we'll use the line's intercepts: (0, -3) and (3, 0).  

For  y = - 3/5x + 5, we'll use (0, 5) and (5, 2).  

Plotting these points on the graph will give us a solution of (5, 2), as it is the point where both lines intersect. Attached is a screenshot of the graphed lines.

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A linear equation can have one or more variables.

The function is given as:

[tex]\mathbf{T = 5.50p + 7f}[/tex]

(a) The constraints when T = 40

Substitute 40 for T in [tex]\mathbf{T = 5.50p + 7f}[/tex]

[tex]\mathbf{5.50p + 7f = 40}[/tex]

The variables in the above equation are p and f

Hence, the constraints are the cost of a package of plain coffee and the cost of a package of flavored coffee

(b) Solve for f

In (a), we have:

[tex]\mathbf{5.50p + 7f = 40}[/tex]

Subtract both sides by 5.50p

[tex]\mathbf{7f = 40 -5.50p }[/tex]

Divide both sides by 7

[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]

Hence, the equation of f is:

[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]

(c) The maximum number of flavored coffee when she buys 3 packages of plain coffee

In (b), we have:

[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]

Substitute 3 for p

[tex]\mathbf{f = \frac{40 -5.50 \times 3}7 }[/tex]

[tex]\mathbf{f = \frac{40 -16.50}7 }[/tex]

[tex]\mathbf{f = \frac{23.5}7 }[/tex]

Divide

[tex]\mathbf{f = 3.36 }[/tex]

Remove the decimal part (do not approximate)

[tex]\mathbf{f = 3 }[/tex]

Hence, the maximum number of packages of flavored coffee she can buy is 3

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Answer:

b ≤ 24

Step-by-step explanation:

Treat it like a two-step equation:

1/3b - 4 ≤ 4​

Add 4 on both sides: 1/3b - 4 (+4) ≤ 4​ (+4)

1/3b ≤ 8

Multiply 3 on both sides (3)1/3b ≤ 8(3)

b ≤ 24

Answer:

B is the correct answer.

Step-by-step explanation:

Answer:

x² - 3x ≤ 54 m²

Step-by-step explanation:

Step-by-step explanation:

and ? what do we need to do with this ?

compress/simplify this ?

if that is true :

(x+3)(x²-3x+9)-(54+x³)

x³ - 3x² + 9x + 3x² - 9x + 27 - 54 - x³ = -27

Answer: [tex]3\sqrt{3[/tex]

Step-by-step explanation: use pythagorean theorem to solve this. which is a^2 + b^2 = c^2

lets say b=3 and c=6. plug this into the equation.  (6)^2 - (3)^2 + = 36 - 9 which is 27 = c^2. to get c from c^2, square root the c^2 value

the square root of 27 is [tex]3\sqrt{3[/tex] in simplest radical form

Answer:

X = 62.5 Degrees, Y = 60 Degrees.

Step-by-step explanation:

There is always 180 degrees in angles.

[ X ]

180 - 65 = 115

115 - 55 = 60

[ Y ]

180 - 55 = 125

125 / 2 = 62.5

Answer:

We can tell that 4:1 and 12:3 are equivalent ratios because if you simplify 12:3 you will get 4:1. You can also multiply 3 to both sides of 4:1 and you will get 12:3. You can also do this with other numbers.

Step-by-step explanation:

The slope of the line is m = -3

The y-intercept is (0,5)

The equation of the line in the slope-intercept form is y = 5-3x

Answer:

Mean- 75.3

Median- 72

Mode- 72

Range- 77

Step-by-step explanation:

Answer:

x = 4, x = -5

Step-by-step explanation:

hope this helps

Answer:

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Using decimal multipliers, it is found that the expression that can be used to determine the final cost of the game is given by:

In this problem:

Applying both multipliers, the expression is:

[tex]C = y(0.82)(1.08) = 0.8856y[/tex]

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Answer:

3 943.84π

Step-by-step explanation:

tienes que usar la fórmula de: pi por radio al cuadrado

Answer:

[tex]314in^{2}[/tex]

Step-by-step explanation:

Circumference is [tex]2\pi r[/tex]

Find your radius

[tex]2\pi r=62.8\\\pi r=31.4\\[/tex]

Let [tex]\pi =3.14[/tex] for simplicity

r=[tex]\frac{31.4}{3.14}[/tex]=10

Now use the equation for the area of a circle to find the area of the clock face.

Area of a circle is [tex]\pi r^{2}[/tex]

Area of clock face is [tex]\pi (10^{2} )[/tex]

=[tex]100\pi[/tex]

=[tex]314in^{2}[/tex]

Answer:

a is parallel b

then

10x-23=27

10x=23+27=50

x=50÷10=5

Answer:

0

Step-by-step explanation: