What will be the result of substituting 2 for x in both expressions below!
PLZ HELP!!

Answer:

k = 5

Step-by-step explanation:

First, add 3 to both sides;

[tex]7k = 35[/tex]

Divide by 7:

[tex]\frac{7}{7}k = \frac{35}{7}\\k = 5[/tex]

Now, let's check our answer:

[tex]7(5) - 3 = 32\\35 - 3 = 32\\32 = 32[/tex]

I hope this helps!!

If you have any questions feel free to ask!

- Kay :)

Answer:

x = -7

Step-by-step explanation:

Firstly, under the rule of opposite vertical angles, you know that any angles opposite of each other in a cross section have the same degree measure.

Therefore the last remaining angle in the triangle will be 85 degrees, since it is vertically opposite of the 85 degree angle.

Next, you know that all three angles of a triangle MUST equal 180 degrees to be considered a complete triangle.

Therefore, use the equation below to solve for x:

180 = 54 + 85 + (48 + x)

x = 180 - 54 - 85 -48 = -7

Answer:

[tex]\displaystyle \text{A) }-\frac{2\pi}{3}[/tex]

Step-by-step explanation:

Trigonometric Functions

Horizontal shifts of trigonometric functions are changes that affect the input axis values and shift the function left or right.

If the function is to be shifted left a units, then the variable x is replaced by x+a and if the function is shifted right a units, then x is replaced by x-a.

The function is:

[tex]y=2\cos\left(x+\frac{2\pi}{3}\right)+1[/tex]

Note the argument of the cosine is [tex]x+\frac{2\pi}{3}[/tex] which means the value of a is [tex]-\frac{2\pi}{3}[/tex] and the function is shifted left by [tex]\frac{2\pi}{3}[/tex].

Answer:

[tex]\displaystyle \text{A) }-\frac{2\pi}{3}[/tex]

Answer:

a)  P(exactly two defectives) = 0.2734

b) N [tex]\simeq[/tex] 55

Step-by-step explanation:

From the given information:

P(exactly two defectives) = P(X =2) = [tex]^{100}C_2 \times ( 0.02)^2 \times(1-0.02)^{100-2}[/tex]

[tex]= \dfrac{100!}{2!(100-2)!} \times ( 0.02)^2 \times(0.98)^{98}[/tex]

[tex]= 4950 \times 4 \times 10^{-4} \times 0.1380878341[/tex]

= 0.2734

Thus, P(exactly two defectives) = 0.2734

b)

To find:

P(X ≥ 1 )

let X be the random variable that obeys a binomial distribution, X represents the number of defectives,

∴

[tex]X \sim B ( N, 0.02)[/tex]

[tex]P(X \ge 1 ) = 1 - P(X < 1) \\ \\ P(X \ge 1 ) = 1 - P(X = 0)[/tex]

[tex]0.6676 = 1 - ^NC_0 \times (0.02)^0 (0.98)^N[/tex]

[tex]0.6676 = 1 - (0.98)^N[/tex]

[tex](0.98)^N = 1 - 0.6676[/tex]

[tex](0.98)^N = 0.3324[/tex]

N log (0.98) = log (0.3324)

[tex]N = \dfrac{log \ 0.3324}{log \ 0.98}[/tex]

N = 54.51824841

N [tex]\simeq[/tex] 55

Answer:

its A on edge 2021

Step-by-step explanation:

your welcome :)

9514 1404 393

Answer:

  m∠ADC = 86°

Step-by-step explanation:

The sum of angles making a straight angle is 180°, so we have ...

  (6x +52)° +(9x +23)° = 180°

  15x = 105 . . . . . subtract 75°, collect terms, divide by °

  x = 7 . . . . . . . . . divide by 15

m∠ADC = (9·7 +23)°

m∠ADC = 86°

Here given that ,

As we know that , sum of angles on a straight line is always equal to 180° . So ,

=> ( 6x + 52 ) ° + ( 9x + 23 ) ° = 180°

=> 15x + 75° = 180°

=> 15x = 180° - 75°

=> 15x = 105°

=> x = 105°/15

=> x = 7°

Now , by the given information , we need to find the value of ∠ADC

Now substituting the value of x ,

⇒ ∠ADC = 9x + 23

⇒ ∠ADC = 9 ( 7 ) + 23

⇒ ∠ADC = 63 + 23

⇒ ∠ADC = 86°

Answer: 120

B

Step-by-step explanation: got it right on edge

Answer:

B.) 120

Step-by-step explanation:

Answer:

63%, 0.64, 13/20

Step-by-step explanation:

Answer:

x = 21.287

Step-by-step explanation:

Use:

SOH CAH TOA

Cos(37) = 17.3/x

x = 21.287

Answer:

x = 21.287

Step-by-step explanation:

Use:

SOH CAH TOA

Cos(37) = 17.3/x

x = 21.287

Step-by-step explanation:

REALLLYYY???!!!!!!

JK

thx 4 the points..

Answer:

The probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%

Step-by-step explanation:

Number of red marbles = 4

Number of blue marbles = 8

Number of Green marbles = 2

Total number of marbles = 4+8+2 =14

We need to find the probability, to the nearest 10th of a percent, that both marbles drawn will be red?

The formula used will be: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\[/tex]

In our case, Number of favourable outcomes = 4 (as red marbles are drawn)

Number of possible outcome = 14 (Total number of marbles)

The probability will be:

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\\\Probability=\frac{4}{14}\\ Probability=0.2857\\[/tex]

Now, calculating nearest 10th of a percent

[tex]Probability = 0.2857*100\\Probability=28.5%[/tex]

So, the probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%

Answer:

C

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

hope this helps

The value of -4² + (5-2) (-8) is -34.

Integers come in three types:

Given:

We have expression as -4² + (5-2) (-8)

Now, solving the terms in the expression

-4² = -(4 x 4)= -16

and, (5-2) (-6)

= 3 (-6)

= -18

So, the value of -4² + (5-2) (-6)

= -16 - 18

= -34

Learn more about Integer here:

https://brainly.com/question/15276410

#SPJ1

Answer: (-1,3) (-2, 0.5) (0,5.5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Poly means many.

This is only 1 term. It is a monomial.

Answer:

Yes.  There can be 56 games (92%) of Exploding Snap every evening throughout September and October that can be played without having the same three Gry ndors play a game twice.

Step-by-step explanation:

This is a combination game without repetition.

The formula for combination without repetition is:

n! /r! (n - r)!

where n = 8 and r = 3

Therefore, n! /r! (n - r)!

= 8! / 3! (8 -3)!

= 40,320 / 6 (120)

= 40,320 / 720

= 56

There are 30 nights in September and 31 nights in October, totaling 61 nights

This implies that 56/61 games can be played in these two months without repeating the same three gamers.

56/61 = 0.918

= 92%

Answer:

x= -5

Step-by-step explanation:

f(x) = -5x +10

plug in 35 for f(x)

35= -5x +10

ten move 10 to the other side

25= -5x

then divide by -5

-5 = x

Answer:

Mean, mode,median and mid-point seem to be the basic measurements of center. 

Step-by-step explanation:

A central propensity measure (center measure) is a measure that seeks to characterize a data set by defining the data set's central location.

Answers:

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

Explanation:

Lateral area only applies to prisms and cylinders. Spheres do not have lateral sides, so there is no lateral area.

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

The radius is 1 & 7/16

Let's convert this to decimal form

1 & 7/16 = 1 + (7/16)

1 & 7/16 = 1 + 0.4375

1 & 7/16 = 1.4375

The radius is r = 1.4375 inches.

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

SA = Surface area the sphere

SA = 4*pi*r^2

SA = 4*pi*(1.4375)^2

SA = 25.9672267773281

SA = 25.97 square inches (choice E)

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

V = Volume of the sphere

V = (4/3)*pi*r^3

V = (4/3)*pi*(1.4375)^3

V = 12.4426294974698

V = 12.44 cubic inches (choice A)

Answer:

150

Step-by-step explanation:

Steps below in pic

Answer:

Solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/tex]

Step-by-step explanation:

We need to solve the equation:

[tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]

And find the value of a

Solving the equation: [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]

First we will be Switching sides

[tex]\frac{3a}{4}-\frac{13}{20}=-\frac{7}{10}[/tex]

Now, for finding value of a we will be adding 13/20 on both sides

[tex]\frac{3a}{4}-\frac{13}{20}+\frac{13}{20}=-\frac{7}{10}+\frac{13}{20}[/tex]

[tex]\frac{3a}{4}=-\frac{7}{10}+\frac{13}{20}[/tex]

Now, on right hand side, Taking LCM of denominators i.e 10 and 20, we get 20 and simplifying:

[tex]\frac{3a}{4}=\frac{-7*2+13}{20}\\\frac{3a}{4}=\frac{-14+13}{20}\\\frac{3a}{4}=\frac{-1}{20}[/tex]

Now, multiply both sides by 4/3

[tex]\frac{3a}{4}\times \frac{4}{3} =\frac{-1}{20}\times \frac{4}{3}\\a=\frac{-1}{5}\times \frac{1}{3}\\a= \frac{-1}{15}[/tex]

So, solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/tex]

Answer:

$1.65

Step-by-step explanation:

You can get the cost of each banana by using the division operation. All you have to do is to divide $0.99 by 3.

Each banana costs $0.33

Now that you know the cost of each banana, you may now get the cost of 5 bananas by using the multiplication operation. All you have to do is to multiply $0.33 by 5.

Therefore, 5 bananas cost $1.65.

Answer:

Nine of the times for the first race were at least 16 seconds

Step-by-step explanation:

Here we have from the scatter plot, the times are given as

Time               Frequency

19                          2

18                          2

17                          2

16                          3

15                          1

Therefore, total number of times that are above 16 seconds in the first race is

3 + 2 + 2 + 2 = 9

Therefore, the first option is correct

Answer:

Step-by-step explanation:

The answer is below. Plesetake a look and it will help you

Answer:

No

Step-by-step explanation:

I feel like that we are just humans dont really matter

Answer:

I have no idea Im so sorry i tried to understand all i could think of is x+y=99

Answer:

False

Step-by-step explanation:

Given

Polynomial: f(x)

Divisor: (x - 4)

Required

Determine the remainder

To determine the remainder, we have to equate x - 4 to 0

i.e.

[tex]x - 4 = 0[/tex]

Add 4 to both sides

[tex]x - 4+4 = 0+4[/tex]

[tex]x = 0+4[/tex]

[tex]x = 4[/tex]

Substitute 4 for x in f(x) to get the remainder.

So, f(x) becomes f(4)

The result of f(4) is the remainder f(x) when divided by x - 4

Hence, the statement is false.

Answer:

x = 15

y = 19

The value of the x and y are; 11/6, -5 and  18/4 in the linear equation.

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given parameters;

The equations are;

(4y - 18)

(6x - 11)

(x + 5)​

Now put all equation equal to zero.

Then;

4y - 18 = 0

y = 18/4

And then;

6x - 11 = 0

x = 11/6

And

x + 5 = 0

x = -5.

Hence, In the linear equation, value of the x and y are 11/6, -5 and  18/4.

Learn more about linear equation here;

brainly.com/question/4074386

#SPJ2