98. What is the sum of the first 27 terms in the arithmetic series 25 +19+13 + ...?​

Answer:5/-3

Step-by-step explanation:

5=-3d

The function which has the value of 0 at x = -3 are C. f(x) = (x + 3)² and E. f(x) = 2x - 3(x + 1).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

A. f(x) = (x - 3)²

Substituting x = 3,

f(-3) = (-3 - 3)² = 36

B. f(x) = x² - 3x

f(-3) = (-3)² - (3 × -3) = 9 + 9 = 18

C. f(x) = (x + 3)²

f(-3) = (-3 + 3)² = 0

Here the function value is 0.

D. f(x) = x² + 5x + 4

f(-3) = 9 - 15 + 4 = -2

E. f(x) = 2x - 3(x + 1)

f(-3) = -6 - 3(-3 + 1) = 0

Here the function value is 0.

F. f(x) = -2(x - 2) + 3x

f(-3) = 1

Hence the required functions are C. f(x) = (x + 3)² and E. f(x) = 2x - 3(x + 1).

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Answer:

2, - 3

Step-by-step explanation:

Expression equivalent to - 8

Answer:

d

Step-by-step explanation:

Answer:

133%

Step-by-step explanation:

24 of 18 can be reduced by 6 in which is also known as 4 of 3.  4/3 is equivalent to 133%

Answer: x=74°

180-133=47 and 47+59=106 so 180-106= 74°

Answer:

32,52,96

Step-by-step explanation:

Answer:

Y alone can do the piece of work in 30 days.

Step-by-step explanation:

Proportions

Let's make:

N = days for Y to finish the work alone

Since X alone can do it in 15 days, each day he can do a proportion of 1/15 of the piece of work.

Since Y alone can (possibly) do it in N days, each day he can do 1/N parts of the work.

Together, they do

[tex]\displaystyle \frac{1}{15}+\frac{1}{N}[/tex]

parts of the work per day. We know they can finish it in 10 days, thus:

[tex]\displaystyle \frac{1}{15}+\frac{1}{N}=\frac{1}{10}[/tex]

Rearranging:

[tex]\displaystyle \frac{1}{N}=\frac{1}{10}-\frac{1}{15}[/tex]

The LCM of 10 and 15 is 30, thus operating:

[tex]\displaystyle \frac{1}{N}=\frac{3-2}{30}=\frac{1}{30}[/tex]

Solving for N:

N = 30

Y alone can do the piece of work in 30 days.

Answer:

9.42857142857

Step-by-step explanation: Is a long decimal so you could just round it to 9.43

Answer:

(x-4,y+8)

Step-by-step explanation:

Given

[tex]Point = (x,y)[/tex]

Required

Translate

8 units up

The general rule for up translation is;

[tex]f'(x,y) = f(x,y+h)[/tex]

Where h is the unit translated up

In this case:

[tex]h = 8[/tex]

So, we have:

[tex]f'(x,y) = f(x,y+8)[/tex]

4 units left

The general rule for up translation is;

[tex]f'(x,y) = f(x-b,y)[/tex]

Where b is the unit translated left

In this case:

[tex]b = 4[/tex]

So, we have:

[tex]f"(x,y) = f(x -4,y+8)[/tex]

Hence, the rule of translation is: (x-4,y+8)

Answer:

translation is

x-4,y+8

Step-by-step explanation:

Answer:

The answer is Y=6x

Step-by-step explanation:

i just took the text in k12

Answer:

1. 2.3 x 108

2. 22

3. 70

4. - 84

5. 13

6. 6 3 − 1 7 + 1 0

7. 3x

8. 3x^2y - 2/ xy^3

9. 0

10. mn - 9

11.

Answer:

x=5

Step-by-step explanation:

Answer:

x = 17[tex]\sqrt{3}[/tex]

y = 17

Step-by-step explanation:

You would need to use the following trigonometric functions cosine and sin.  Sin is used for the y-variable to get the answer and cosine is used for the x-variable to get the answer.  For this case, you would need to do 34 sin 30 for y and 34 cos 30 for x.  You should get 17 for y and 17 root 3 for x when you put it in the calculator.

The value of each variable are,

x = 17√3

y = 17

We have to give that,

A triangle is shown in the image.

Now, from the triangle we get;

cos 30° = x/34

Solve for x,

√3/2 = x/34

Cross multiply,

34√3 = 2 × x

2x = 34√3

x = 17√3

And, We get;

⇒ sin 30° = y/34

⇒ 1/2 = y/34

Cross multiply,

⇒ 34 = 2y

⇒ y = 17

Hence, the value of each variable is,

x = 17√3

y = 17

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Answer:

X = - 84

Step-by-step explanation:

Answer:

It's surface area is 1257.14cm^2

Step-by-step explanation:

area=22/7×20cm×20cm

=3.14×20cm×20cm

=1257.14cm^2

Answer:

x = 40

y = 62

Step-by-step explanation:

I figured out the answer by finding the x on the left triangle first by writing an equation:

(3x - 18) + (x + 7) + (x - 9) = 180

once I worked that I plugged in the number which was 40.

Then for the triangle to the right I also plugged in the numbers for x and got 118 degrees I took 180 and subtracted 118 to get my answer of 62 for y.

Answer:

the answer is : x=2 not 100% sure

Answer:

A'(-9,-3)

Step-by-step explanation:

-3*3=-9

-1*3=-3

Answer:

8

Step-by-step explanation:

Ok so 3 copies = 40 cents.

75 - 40 = 35.

We only have 35 cents left.

The highest number that can go in 35 with 7 is 5.

Oir original 3 copies + our 5 copies is 8

I did this in my head so sorry if I'm totally wrong.

[tex]\large\boxed{\pink{\sf \leadsto The \ Volume \ of \ water \ needed \ to \ be \ filled \ is \ 192,500 cm^3}}[/tex]

Given that , cylindrical vessel is 70 cm high and the radius of its base is 35cm . it contains some water up to the height of 20 cm .

And we need to find the water required to fill it completely .

Figure :-

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(12,12)\linethickness{0.4mm}\put(0,0){\line(0,1){5}} \put(3,0){\line(0,1){5}}\qbezier(0,5)(1.5,4)(3,5)\qbezier(0.001,0)(1.5,1)(3,0)\qbezier(0,5)(1.5,6)(3,5)\qbezier(0.001,0)( 1.5, - 1)(3,0)\put(3.5,2){\vector(0,-1){2}}\put(3.5,3){\vector(0,1){2}}\put(3.5,2.5){$\sf 70 cm $}\put(1.4,0){\line(1,0){1.6}} \put(1.4,0.2){$\sf 35cm$}\qbezier(0,2.5)(1.5,3.5)(3,2.5)\qbezier(0,2.5)(1.5, 1.8)(3,2.5)\put(-1,1){\vector(0,-1){1}}\put(-1,1.5){\vector(0,1){1}}\put(-1.3,1.2){$\sf 20cm $}\end{picture}[/tex]

Let us take the Volume of Cylinder be V and the volume of cylinder filled be v . Let the volume required to be filled be X .

From the figure it's clear that , Volume of water required to fill the cylindrical vessel completely will be :-

[tex]\tt:\implies v + x = V \:\: \bigg\lgroup \red{\bf As \ per \ our \ assumption }\bigg\rgroup \\\\\tt:\implies x = V - v \\\\\tt:\implies x = \pi r^2 H - \pi r^2 h \\\\\tt:\implies x = \pi r^2 ( H - h ) \\\\\tt:\implies x = \pi r^2 ( 70 cm - 20 cm ) \\\\\tt:\implies x = \dfrac{22}{7} \times (35 cm)^2 \times 50 cm \\\\\tt:\implies x = \dfrac{22\times 35 cm \times 35 cm }{7} \times 50 cm \\\\\underline{\boxed{\red{\tt \longmapsto Volume_{fill } = 192,500 cm^3}}}[/tex]

Answer:

y = 5x + 26

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 )

y = - [tex]\frac{1}{5}[/tex] x + 1 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{5} }[/tex] = 5 , thus

y = 5x + c ← is the partial equation

To find c substitute (- 5, 1) into the partial equation

1 = - 25 + c ⇒ c = 1 + 25 = 26

y = 5x + 26 ← equation of perpendicular line

Answer:

6%

Step-by-step explanation:

percent = part/whole * 100%

percent = 912/15,200 * 100%

percent = 6%

Answer:

Step-by-step explanation:

Answer:

It would have to be D.

Step-by-step explanation:

None of the tables display an exponential growth of population.

Answer: i just took the test yesterday and got it right

With the same compass opening, place the compass point on point A and draw a long arc through ​AB−→−​.

hopefully this helps. i would have helped you sooner if i seen it before now

Place the compass point on point A and draw a long arc through AB using the same compass opening.

An "arc" is a smooth curve that connects two points. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference. An arc is a type of curve. An arc can be a portion of another curved shape, such as an ellipse, but it most commonly refers to a circle.

The arc of a circle is defined as a portion or segment of a circle's circumference. A chord of a circle is a straight line formed by connecting the two ends of an arc. A semicircular arc is one that is exactly half the length of a circle.

A chord of a circle is a straight line that can be drawn by connecting the two ends of an arc.

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Answer:

False

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

Answer:

1. 8

2. 10

3. 3000

4. 1440

5. 25