QUICK
What is the image point of (1,4) after a translation left 5 units and down 3 units ?

➷ First find the number of scans produced per second

To do this, multiply the number of scans by 30:

525 x 30 = 15750

So, there are 15750 scans produced per second

You need the value for 30 seconds, so multiply by 30 again

15750 x 30 = 472500

Your answer would be 472500

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Answer:

less 13 gallons equals 52 quarts

Step-by-step explanation:

Equal to. There are 4 quarts in 1 gallon. So 16x4=64

Final answer:

For every 5 orange fish in the fish tank, there are 4 blue fish since the number of orange fish is 1 1/4 times the number of blue fish.

Explanation:

In the fish tank scenario where the number of orange fish is 1 1/4 times the number of blue fish, for every 5 orange fish, we need to determine the corresponding number of blue fish. To find this, we can set up a ratio where the number of blue fish (let's call it B) multiplied by 1 1/4 must equal 5 (since 1 1/4 times B is the number of orange fish). So, B * 1 1/4 = 5. This equation can be simplified to B * 5/4 = 5, and by further simplification, we find B = 5 / (5/4) which is equal to B = 4. Therefore, for every 5 orange fish, there would be 4 blue fish in the tank. Hence, if you drag blue fish to represent the number of blue fish, there should be 4 of them for every 5 orange fish.

Answer:

Tasha made a mistake in Step 4

Step-by-step explanation:

She made a mistake in step 4

When rewriting the value for  4^(-4)

She needed to write

(1/256) =   4^(-4)

Instead, she wrote

(1/256) =   -1/4^(-4)

-1/4^(-4) = -256 ≠ (1/256)

The break ended at 4pm when he was at 15 km.

The ride ended at 6pm when he was at 45 km.

From 4 to 6pm he rode 45 - 15 = 30 km.

Answer: it would be 30 kilometer

Step-by-step explanation:

45-15=30

Answer:

An angle showing a turn through 1/8 of a circle is smaller

Step-by-step explanation:

we know that

A complete circle represent 360°

so

An angle showing a turn through 1/8 of a circle is

[tex](360\°)*(\frac{1}{8})=45\°[/tex]

An angle showing a turn through 1/3 of a circle is

[tex](360\°)*(\frac{1}{3})=120\°[/tex]

therefore

An angle showing a turn through 1/8 of a circle is smaller

Answer:

1/8 is smaller because it equals 45 degrees

1/3 is bigger because it equals 120 degees

Let x be the unknown number. One fifth of this number is x/5, one fourth of this number is x/4. So, we have

[tex]\dfrac{x}{4}-\dfrac{x}{5} = \dfrac{5x-4x}{20} = \dfrac{x}{20}[/tex]

We know that this difference equals 9, so we have

[tex]\dfrac{x}{20}=9[/tex]

Multiply both sides by 20 to get

[tex]x=180[/tex]

Answer:

1/5^9

Step-by-step explanation:

X^n / X^m = (X)^n-m

5^(-6-3)

5^-9

1/5^9

Best regards

For this case we have that by definition of power properties:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Then, we have the following expression:

[tex]\frac {5 ^ {- 6}} {5 ^ 3}[/tex]

It can be rewritten as:

[tex]\frac {1} {5 ^ 6 * 5 ^ 3}[/tex]

By definition of power properties we have:

[tex]a ^ m * a ^ n = a ^ {m + n}[/tex]

So:

[tex]\frac {1} {5 ^ 6 * 5 ^ 3} = \frac {1} {5 ^ 9}[/tex]

Answer:

Option A

Answer:

[tex]\large\boxed{x=\pm5i}[/tex]

Step-by-step explanation:

[tex]i=\sqrt{-1}\to i^2=-1\\==========================\\\\x^2+25=0\qquad\text{subtract 25 from both sides}\\\\x^2=-25\to x=\pm\sqrt{-25}\\\\x=\pm\sqrt{(-1)(25)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\pm\sqrt{-1}\cdot\sqrt{25}\\\\x=\pm i\cdot5\\\\x=\pm5i[/tex]

Answer: Answer is D

Answer:

[tex]\large\boxed{\ln e^A=A}[/tex]

Step-by-step explanation:

[tex]Use\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\\\\ln a=\log_e a\to\ln e=1\\====================================\\\\\ln e^A=A\ln e=A(1)=A[/tex][/tex]

Answer:

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Step-by-step explanation:

∵ The vertices of the rectangles are:

  (0 , 0) , (0 , 6) , (6 , 6) , (6 , 0)

∵ 3 × [tex]\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right][/tex] × R

∴ That is mean The rectangle rotate 270° around the origin

  (270° anti-clockwise or 90° clockwise)

  and enlargement by scale factor 3

Answer:

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Step-by-step explanation:

Mathhhh

Answer:

2x - y = 13

Step-by-step explanation:

To write the equation of a line use the formula [tex]y - y_1 = m(x-x_1)[/tex].

Substitute m = 2 and (4,-5).

[tex]y --5 = 2(x-4)\\y + 5 = 2(x - 4)\\y + 5 = 2x - 8\\y = 2x -13\\-2x + y = -13\\2x - y = 13[/tex]

Final answer:

The probability of Robert eating two mint sticks consecutively from a bag of candy is 3/95, which is found by multiplying the individual probabilities of selecting a mint stick on the first and second draw.

Explanation:

The question involves calculating the probability that the first two pieces of candy Robert eats are both mint sticks. To find this probability, follow a step-by-step process to consider all possible outcomes.

Step 1: Probability of first mint stick

Initially, Robert has 20 pieces of candy with 4 being mint sticks. So, the probability of picking a mint stick first is:

4 mint sticks / 20 total pieces = 1/5 or 0.20.

Step 2: Probability of second mint stick

After eating one mint stick, there remain 3 mint sticks out of 19 total pieces. Thus, the probability now becomes:

3 mint sticks / 19 total pieces = 3/19.

Step 3: Combined probability

To find the probability of both events happening consecutively, multiply the separate probabilities:

(1/5) * (3/19) = 3/95, which simplifies to 0.0316, or about 3.16% chance.

Therefore, the correct answer is C. 3/95.

Answer:

1. 121 π  unit²

2. 143°

3. 151 unit²

Step-by-step explanation:

1.

Area of a circle is given by the formula  A = πr²

where

A is the area,

r is the radius of the circle

From the given diagram, we can see that the radius is 11, hence the area will be:

[tex]A=\pi r^2\\A=\pi (11)^2\\A=121\pi[/tex]

The answer is  [tex]121\pi[/tex] units^2

2.

The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°

The measure of the central angle of the shaded sector is 143°

3.

Area of a sector is given by the formula  [tex]A=\frac{\theta}{360}*\pi r^2[/tex]

Where

[tex]\theta[/tex] is the central angle of the sector (in our case it is 143°)

r is the radius (which is 11)

Plugging in all the info into the formula we have:

[tex]A=\frac{\theta}{360}*\pi r^2\\A=\frac{143}{360}*\pi (11)^2\\A=150.99[/tex]

rounding to the nearest whole number, it is 151 units^2

Answer:

y=|x|-0.5

Step-by-step explanation:

downward is represented outside of the abolsute value.

Answer:

|x|-0.5

Step-by-step explanation:

its correct

Answer:

(2,-4)

Step-by-step explanation:

it is a minimum because as you can see the lowest is at the point of (2,-4)

Answer:

(2,-4)

Step-by-step explanation:

Answer:

Q(20,10)

Step-by-step explanation:

If point T (6,3) is a point 3/10 of the way from P(0,0) to Q(x,y), then

[tex]\overrightarrow {PT}=\dfrac{3}{10}\overrightarrow {PQ}.[/tex]

Find the coordinates of the vectors [tex]\overrightarrow {PT},\ \overrightarrow {PQ}:[/tex]

[tex]\overrightarrow {PT}=(6-0,3-0)=(6,3);\\ \\\overrightarrow {PQ}=(x-0,y-0)=(x,y).[/tex]

Thus,

[tex](6,3)=\dfrac{3}{10}(x,y),\\ \\(x,y)=\dfrac{10}{3}(6,3)=(20,10).[/tex]

Answer:

4y^(2)+14y+31

Step-by-step explanation:

First you need to do (y+7)(y+7)

y^2+7y+7y+49

y^2+14y+49

Add it all together

y^2+14y+49+3y^2-15

4y^(2)+14y+31

Answer:

A

Step-by-step explanation:

Since we can see that the figure is congruent but just flipped over x = 0, we are just reflecting it across the y=axis.

Answer:

A

Reflection across the y-axis.

Answer:

The answer is D

Step-by-step explanation:

We know that a triangle adds up to 180 degrees.

Solve for x:

Combine like terms.

2x + 3x - 10 + 50 = 180

Subtract 40 on both sides.

5x + 40 = 180

      -40    -40

Divide both sides by 5.

5x = 140

----    ----

5        5

And you get a solution of:

x = 28

Check:

Substitute 28 into x and multiply 28 by the number outside of the parentheses.

2(28) + 3(28) - 10 + 50 = 180

Add/Subtract from left to right.

56 + 84 - 10 + 50 = 180

Add them together.

140 + 40 = 180

And you get 180!

180 = 180

Answer:

Step-by-step explanation:

If the side of a triangle inscribed in a circle is a diameter, then it is a right triangle.

Use the Pythagorean theorem:

d - diameter

[tex]d^2=8^2+6^2\\\\d^2=64+36\\\\d^2=100\to d=\sqrt{100}\\\\d=10[/tex]

Answer: 450 miles

Step-by-step explanation:

3 inches / 1 inch = 3 times 150 miles = 450 miles

Area = πr^2

Circumference = 2πr

Blue:

Area = 5^2 = 25π

Circumference = 2 * 5 * π = 10π

Pink:

Area = 6^2 = 36π

Circumference = 2 *6*π = 12π

White:

r = 3

Area = 3^2 = 9π

Circumference = 2 *3 = 6π

Red:

Area = 7^2 = 49π

Circumference = 2 *7 = 14π

Blue: Area - 25

Circumference - 10

Pink: Area - 36

Circumference - 12

White: Area - 9

Circumference - 6

Red: Area - 49

Circumference - 14

Hope it helped

Answer:

$791

Step-by-step explanation:

Find the equation of the line passing thru  (30, 1,181) and (44, 1,363),   The y-intercept of this equation will answer this question:  it represents the annual golf pass.

Moving from (30, 1,181) to (44, 1,363), we see x increasing by 14 from 30 to 44 and y increasing by  182   from 1181 to 1363.

Thus, the slope of this line is m = rise / run = 182 / 14 = 13.

Subst. the knowns (30, 1,181) and m = 13 into the standard equation for a straight line in slope-intercept form, y = mx + b, we get:

1181 = 13(30) + b.  Then 1181 - 390 = 791.

The flat fee is $791, payable at the beginning of each year.

Answer:

The answer is $760

Step-by-step explanation:

First, find the rate of change, or slope, from the two given points.

Next, find the equation for the linear model using the slope and a point.

The initial value is the value of y when x equals 0.

In this case, the initial value is the flat fee for the annual golf pass.

Therefore, the flat fee for the annual golf pass is $760.

Answer: =b^4 -16

Step-by-step explanation:

* Hopefully the work below helps:)!!! Mark me the brainliest:)!!!

∞ 234483279c20∞

Answer:

45

Step-by-step explanation:

Decreasing by 25% means that there is 25% less of last years amount or 0.25x less. It also means that this year there is only 75% of what was last year actually in the lake or 0.75x. Since last year, there were 60 fish, this means this year there is 0.75(60) = 45. This year has 45 fish.

Answer:

45

Step-by-step explanation:

Answer:

3 pi

Step-by-step explanation:

The length of the arc AB is equal to the circumference times the fraction of the circle

AB = 2*pi*r * (degrees/360)

AB = 2 * pi* (27) * (20/360)

    = 54 * pi * (1/18)

    = 3 pi

We are asked to leave the answer in terms of pi

Actually, the answer should be 1/9 π. To convert from degrees to radians, you use the conversion π/180°. This is what you do: 20°/1 times π/180°. This let's you cancel out the degrees so you are left in terms of pi. That gets you 20π/180 which simplifies to 1/9 π or 0.11π if you need it as a rounded decimal.

The nth term of the sequence can be expressed as:

[tex]T_n = -4n + 23[/tex]

Since term to term rule is to take away 4, thus when we go back in sequence, the rule will be to add 4 term to term.

Thus:

Second term = 4 + third term = 4 + 11 = 15

First term = 4 + second term = 15 + 4 = 19

Since the given sequence has a constant difference of -4 between each adjacent terms, thus it is an arithmetic progression with d = -4

The nth term of an arithmetic progression with difference d is given by:

[tex]T_n = T_1 + (n-1) \times d[/tex]

Since d = -4 and first term is 19, thus we have:

[tex]T_n = 19 + (n-1) \times (-4) = -4n + 23\\T_n = -4n + 23[/tex]

Thus, the nth term of the sequence can be expressed as:

[tex]T_n = -4n + 23[/tex]

Learn more about arithmetic progression here:

https://brainly.com/question/24873057

The expression for the nth term of the given sequence is 23 - 4n. Starting from the third term which is 11, we find the first term and use the common difference to write the formula.

The student is dealing with a linear sequence and is asked to write an expression for the nth term of the sequence based on the term-to-term rule 'take away 4'. To find the nth term of this arithmetic sequence, we need to use the structure of arithmetic sequences, which follow the pattern a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference between terms. Because we know that the third term is 11, we can backtrack to find the first term by adding 4 twice (since we have been taking 4 away to move forward in the sequence). Therefore, the first term a_1 is 11 + 4 + 4 = 19. Given the common difference is -4 (since we are taking away 4 each time), our nth term expression is a_n = 19 + (n - 1)(-4) or simplified a_n = 23 - 4n.

https://brainly.com/question/34721740

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Answer:

Step-by-step explanation:

Convert the equation to the slope-intercept form (y = mx + b):

[tex]2x+5y=-10[/tex]        subtract 2x from both sides

[tex]5y=-2x-10[/tex]       divide both sides by 5

[tex]y=\-\dfrac{2}{5}x-2[/tex]

Put x = 0 to the equation of a line:

[tex]y=-\dfrac{2}{5}(0)-2=-0-2=-2\to(0,\ -2)[/tex]

The lines c and d passes through that's point.

Put x = 5 to the equation of a line:

[tex]y=-\dfrac{2}{5}(5)-2=-2-2=-4\to(5,\ -4)[/tex]

The line d passes through that point.

Answer:

Horizontal axis

Step-by-step explanation:

we know that

In a line graph, vertical axis usually represented the dependent variable and   horizontal axis usually represented the independent variable. The time is usually represented in the horizontal axis because is a independent variable

Answer:

Horazontal Axis