PLLELELELELLEASEEEEE T_T

Answer:

d

Step-by-step explanation:

up and down is outside of the x stuff so its c or d

and c is moving it up

d is moving it down

Answer:

d)  y = | x | - 2

Step-by-step explanation:

In order to translate a graph downward 2 units ,we subtract 2 from the original function.

therefore,

If the Original function is  y = |x|

Then the Function of the translated graph is  y = | x | - 2

Answer:

12 m

Step-by-step explanation:

Well, imagine you got this nice room. How can it reach the other corner? It has to go along the 3 dimensions. So the shortest path would be: 5 + 4 + 3  12m

Answer:

3 + √(41) = 9.4 m (nearest tenth)

Step-by-step explanation:

The room can be modeled as a rectangular prism with:

If the ant is at the top of a corner of a room and crawls to the opposite bottom corner of the room, the shortest distance will be to travel down one vertical edge of the room then to travel the diagonal of the floor of the room (or to travel the diagonal of the ceiling and then one vertical edge).

Vertical edge = height of room = 3m

The diagonal of the floor (or ceiling) is the hypotenuse of a right triangle with legs of the width and length.  Therefore, to find the diagonal, use Pythagoras Theorem.

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

Given:

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

[tex]\implies 4^2+5^2=c^2[/tex]

[tex]\implies c^2=41[/tex]

[tex]\implies c=\sqrt{41}[/tex]

Therefore, the shortest distance the ant can travel is:

⇒ 3 + √(41) = 9.4 m (nearest tenth)

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The statement that describes the quotient of 3 over 10 division sign2 over 5 is A. The maximum amount of oil the bowl can hold is Fraction 3 over 4 cup.

From the information given, we are told that a bowl holds fraction 3 over 10 cups of oil when it is Fraction 2 over 5 full.

Therefore, the statement that best describes the quotient of 3 over 10 division sign2 over 5 will be that the maximum amount of oil the bowl can hold is fraction 3 over 4 cup.

In conclusion, the correct option is A.

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By the alternating series test, this series converges: for [tex]k\in\Bbb N[/tex],

[tex]\dfrac{k^5+1}{k^6+11}[/tex]

is a positive, decreasing sequence that converges to 0.

However,

[tex]\displaystyle \sum_{k=2}^\infty \left| (-1)^{k+1} \frac{k^5+1}{k^6+11} \right| = \sum_{k=2}^\infty \frac{k^5+1}{k^6+11} \approx \sum_{k=2}^\infty \frac1k[/tex]

is a divergent series by comparison to the harmonic series.

So the given series is conditionally convergent.

The given series is conditionally convergent. This can be obtained by using alternating series test first and then comparing the series to the harmonic series.

Initially we need to know what Absolute convergence and Conditional convergence,

If [tex]\sum|a_{n} |[/tex] → converges, and [tex]\sum a_{n}[/tex] → converges, then the series is Absolute convergence

If [tex]\sum|a_{n} |[/tex] → diverges, and [tex]\sum a_{n}[/tex] → converges, then the series is Conditional convergence

First use alternating series test,

[tex]\lim_{k \to \infty} \frac{k^{5} +1}{k^{6}+11 }[/tex] = [tex]\lim_{n \to \infty} \frac{5}{6k}[/tex] = 0,

The series is a positive, decreasing sequence that converges to 0.

Next by comparing the series to harmonic series,

[tex]\sum^{\infty} _{k=2}|(-1)^{k+1} \frac{k^{5} +1}{k^{6}+11 }|=\sum^{\infty} _{k=2}\frac{k^{5} +1}{k^{6}+11 }[/tex] ≈  [tex]\sum^{\infty} _{k=2}\frac{1}{k}[/tex] = 0

This implies that the series is divergent by comparison to the harmonic series.

First we got that the series is converging and then we got the series is divergent. Therefore the series is conditionally convergent.

[tex]\sum|a_{n} |[/tex] → diverges, and [tex]\sum a_{n}[/tex] → converges, then the series is Conditional convergence.

Hence the given series is conditionally convergent.

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Answer:

5296.125 days

Step-by-step explanation:

1 year = 365.25 days

14.5 years × 365.25 days/year = 5296.125 days

The rotation of the triangle that's illustrated will be a rotation of 90°.

It should be noted that transformation is a general term for 4 specific ways that can be used to manipulate the shape and the position of a point, line, or a geometric figure. In such a case, the original shape of the object is called the pre-Image while the final shape and the position of the object is simply the image under transformation.

There are typically four common types of transformations and they're translation, rotation, reflection, as well as dilation. It should be noted that rotation about simply illustrates the transformation that takes place regarding the triangle.

For rotation, the shape rotates or turns the pre-image around the axis and there'll be no change in the size or shape of the object.

Here, the counterclockwise rotation was illustrated in the triangle ABC. Therefore, the rotation of the triangle that's illustrated will be a rotation of 90°.

In conclusion, based on the information given, the correct option is A.

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Complete question:

Triangle ABCTriangle ABC is rotated to form △A'B'C' .

The coordinates of point A are (1, 1) , the coordinates of point B are (3, 1) , and the coordinates of point C are (1, 4) .

Which countr clockwise rotation around the origin results in the transformation of △ABC to △A'B'C' ?

Select from the drop down arrow to choose the correct rotation.

(a) rotation of 90

(b) rotation of 180

(c) rotation of 360

Answer:

P = 1/3

P = 0.333

Step-by-step explanation:

There are 6 marbles in the pack, two of them are yellow.

[tex]P=\frac{2}{6} =\frac{1}{3}[/tex]

Hope this helps

Answer:

35x71+71x65+51x23+23+49=8,345

Step-by-step explanation:

Answer:

8345

Is the correct answer

Step-by-step explanation:

hope it will help you

the average pay per year is $4 million

Answer:

The average is 4millon

Step-by-step explanation:

because 16 millon divide by 4 =4

ez

Answer:

627

267

276

762

726

and the no. itself, 672

The perimeter of inside of the track is 536.44m

The perimeter of a circle is also known as the circumference of the circle. The formula for calculating the circumference is expressed as:

C = 2πr

where

r is the radius

From the given diagram

r = 46/2 = 23m

C = 2(3.14)(23)
C = 144.44m

Find the perimeter of the rectangle

P = 2(l+w)

p = 2(46+150)
P = 2(196)
P =392m

The perimeter of the inside track = 144.44 + 392

The perimeter of the inside track = 536.44m

Hence the perimeter of inside of the track is 536.44m

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The difference of the fraction is 2/3 or two-thirds

Fractions are written as a ratio of two integers. They are written in the form a/b

Given the following expression

Negative 2 and one-half minus (negative 1 and three-fourths)

This can also be written as;

-2 1/2 - (-1 3/4)

Convert mixed to improper to have;

-5/2 + 7/4

Swap to have;

7/4 - 5/3

Find the LCM

3(7)-4(5)/12

21-20/12
8/12

Write in its simplest form

8/12 = 2/3

Hence the difference of the fraction is 2/3 or two-thirds

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Answer:

2

Step-by-step explanation:

because -3/4 + 2 3/4= 2

The explicit rule for the nth term of the sequence is an = (an-1)*3 +2.

According to the given statement

we have to find the explicit rule for the nth term of the given sequence,.

So, For this purpose

The given sequence is :

2, 8, 26, 80, 242.

And according to the ap series formula

[tex]a_{n} = (a_{n-1} -1)*3 +2[/tex]

If we put the terms in it then we get the exact value as the value in the sequence.

So,

[tex]a_{n} = (a_{n-1} -1)*3 +2[/tex]

For [tex]a_{2}[/tex]

[tex]a_{2}[/tex] [tex]= a_{1} *3 +2[/tex]

[tex]a_{2}[/tex] [tex]= 2*3 + 2[/tex]

[tex]a_{2}[/tex] [tex]= 8[/tex]

and by this way we get all the values as same as the sequence.

So, The explicit rule for the nth term of the sequence is an = (an-1)*3 +2.

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Answer:

a.[tex]\sqrt{52}[/tex]cm or 7.21cm

b.[tex]\sqrt{170}[/tex]cm or 13.04cm

c. x= [tex]\sqrt{136}[/tex]cm or 11.66cm, y=[tex]\sqrt{191}[/tex]cm or 13.82cm

Step-by-step explanation:

a. You have to find the length of the other two sides of the triangle using the information already given. The first side is 6cm and the other is 12-9=4cm. Because it's a right-angled triangle you can use pythagoras

[tex]c^2=a^2+b^2\\x^2=6^2+4^2\\x^2=36+16\\x^2=52\\x=\sqrt{52}cm \\x=7.21cm[/tex]

b. You can use pythagoras again because it's a right-angle triangle

[tex]x^{2} =7^2+11^2\\x^2=170\\x=\sqrt{170} cm\\ = 13.04cm[/tex]

c. In this question you have to find x and y. We need to find x first using pythagoras

[tex]x^2=6^2+10^2\\x^2=136\\x=\sqrt{136}cm \\=11.66cm[/tex]

Now that we've found x we can find y using pythagoras but instead of find c, we will find another side

[tex]c^2=a^2+b^2\\19^2=\sqrt{170} ^2 + b^2\\361=170+b^2\\361-170=170+b^2-170\\191=b^2\\b=\sqrt{191}cm \\=13.82cm[/tex]

Hope this helps :)

Check the picture below.

B. number of dogs owned versus number of plane tickets bought

Answer: 8:3

Step-by-step explanation:

360:135

We can simplify both, dividing both of them by a common divisor (45)

360/45= 8

135/45= 3

The ratio in lowest terms is 8:3

the ratio of girls to boys in the school, expressed in the lowest terms, is 8:3.

To find the ratio of girls to boys in the school, we divide the number of girls by the number of boys.

Ratio of girls to boys = Number of girls / Number of boys

Ratio of girls to boys = 360 / 135

To express the ratio in the lowest terms, we can simplify the fraction by finding the greatest common divisor (GCD) of 360 and 135 and then dividing both the numerator and denominator by the GCD.

The GCD of 360 and 135 is 45.

Ratio of girls to boys = (360 / 45) / (135 / 45)

Ratio of girls to boys = 8 / 3

So, the ratio of girls to boys in the school, expressed in the lowest terms, is 8:3. This means that there are 8 girls for every 3 boys in the school.

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The value of equation which is given is 12.

According to the Statement

we have given the expression and the some values and we have to find the values of the expression after put the given values in it.

So,The given values are:

h = 8. j = -1, and k = -12

And the given equation expression are J³k/h⁰

Now Substitute the value in the expression then

J³k/h⁰

After putting the values the expression become

(-1)³-12/8⁰

(-1)(-12)/1

After solving the value become

12/1

12.

now the value of expression become is the 12 after put all the values in it.

So, The value of equation which is given is 12.

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Answer:

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

Conditions we need to meet:

To get the smallest number we'd use all 10 digits in the ascending order:

Here we can't have zero in the beginning as the number becomes 9-digit.

So swapping zero with the closest digit, 1.

Our number should be even, so we should swap 9 with one even digit.

Again it should be the closest one to 9, so it is 8.

We get the following number as a result:

To test you may swap digits, any number you get will be greater than this number.

The number of terms in the geometric series is 9

The geometric series given as:

96 - 48 + 24 -....,-3/8 .

Calculate the common ratio (r) as follows

r = T2/T1

Substitute the known values in the above equation

r = -48/96

Evaluate

r = -0.5

The number of terms is then calculated as:

Tn = a * r^n-1

Let n = 9

So, we have:

T9 = a * r^9

Substitute the known values in the above equation

T9 = 96 * (-0.5)^8

Evaluate the product

T9 = -3/8

Hence, the number of terms in the geometric series is 9

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Answer:

I believe it's 5.0

Step-by-step explanation:

I believe so if its not I'm sorry

Answer:

Bala has 5 stickers

( please mark me as brainliest )

Step-by-step explanation:

total stickers = 26

= 26/2

=13

stickers Alvin had more = 8

=13 + 8

= 21

= 26 - 21

= 5

[tex]\Large\texttt{Answer}[/tex]

[tex]equation=[/tex][tex]\bold{y=5x-33}[/tex]

[tex]\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}[/tex]

[tex]\Large\texttt{Process}[/tex]

⇨ Use the formula below

[tex]\bf{y-\hfill\stackrel{y \:co-ordinate}{y1}=\hfill\stackrel{slope}{m}(x-\hfill\stackrel{x\:co-ordinate}{x1)}}[/tex]

⇨ Substitute the parameters:

[tex]\bold{y-(-8)=5(x-5)}[/tex]

[tex]\bold{y+8=5x-25}[/tex]

[tex]\bold{y=5x-33}[/tex]

Hope that helped

Answer:

a) 20

Step-by-step explanation:

when we have an exponent of an exponent, we simply multiply them for the overall exponent.

so, we actually have

a^((1/4)×12) × b^((1/3)×12) = a³b⁴ = 5000

let's find the prime factors of 5000 :

5000 ÷ 2 = 2500

2500 ÷ 2 = 1250

1250 ÷ 2 = 625

625 ÷ 3 no

625 ÷ 5 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

so,

5000 = 2³ × 5⁴

so, a = 2, b = 5

a²b = 2²×5 = 4×5 = 20

Answer:

y = [tex]\frac{1}{2}[/tex] x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = [tex]\frac{1-0}{0-(-2)}[/tex] = [tex]\frac{1}{0+2}[/tex] = [tex]\frac{1}{2}[/tex]

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = [tex]\frac{1}{2}[/tex] x + 1 ← equation of line

The straight line equation is :

[tex]\boxed {y = mx + c}[/tex]

Here, c = 1 as it intersects (0, 1) on the y-axis.

The slope is :

Hence, the equation will be :

y = 0.5x + 1

I hope it helped you solve the problem.

Good luck in your studies!

Answer:

[tex] \frac{29}{18} = 1 \frac{11}{18} [/tex]

Step-by-step explanation:

To solve this question, we definitely need to make w the subject.

[tex]w - \frac{5}{6} = \frac{7}{9} \\ w - \frac{5}{6} + \frac{5}{6} = \frac{7}{9} + \frac{5}{6} \\ w = \frac{29}{18} \\ = 1 \frac{11}{18} [/tex]

[tex]4r {}^{3} s - rs + 7r {}^{3} s + 8rs - 3 + 8rs + 6 \\ add \: \: terms \: \: of \: \: same \: \: variables \\ 11r {}^{3} s + 15rs + 3[/tex]

Using the distance between two points, it is found that you travel approximately 41 meters.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, we have that:

Hence the distance is:

D = sqrt[(-15 - (-25))² + (15 - (-25))²] = sqrt(10² + 40²) = 41 meters.

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