Need help please!! :)

Answer:

The number is 8

Step-by-step explanation:

2x +5 =21

2x= 21-5

2x=16

2x/2=16/2

x=8

To check

8×2=16

16+5=21

The A’ is your reflected shape. The red line is y=-1, or your line  right reflection.  To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.

it is the linear equation

Answer:

40

Step-by-step explanation:

m<1 = (1/2)(50 deg + 30 deg)

m<1 = (1/2)(80 deg)

m<1 = 40 deg

Answer: 40

Answer:

The first triangle would be D - Right.

Explanation :

Acute angles can't have a single angle greater or equal to [tex]90^o[/tex]

Equiangular triangles have every single angle equivalent.

Obtuse angles have only angles greater than [tex]90^o[/tex]

Right triangles have 1 right angle (90 degrees)

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

The second triangle would be an obtuse triangle (A)

Here's an example of an obtuse angle :

(As you can see, it doesn't need to have all 3 sides obtuse, just one)

Answer:

Step-by-step explanation:Circle

Solve for radius

r≈1

A Area  

3.14

d

r

r

r

d

d

C

A

Using the formula

A=

π

r

2

Solving forr

r=

A

π

=

3.14

π

≈

0.99975

Answer:

Radius of circle is 1 mm.

Step-by-step explanation:

Area of circle is 3.14 mm ²

Radius of circle

Area of circle = π × ( radius ) ²

substitute the values

3.14 mm² = 3.14 × ( radius )²

divide the values

3.14mm²/ 3.14 = ( radius) ²

1 mm²= ( radius)²

find the square root of 1 mm²

√1mm² = radius

1 mm = radius

Therefore the radius of circle is 1 mm.

Answer: The correct option is B.

Step-by-step explanation:

(x+5)(2x-1)=3(x+5)

Multiply the parentheses

2x^2 - x + 10x - 5 = 3x + 15

Collect like terms

2x^2 + 9x - 5 = 3x + 15

Move the expression to the left hand side and change its sign, then equate it to 0

2x^2 + 9x - 5 - 3x -15 = 0

Collect like terms

2x^2 + 6x - 20 = 0

Divide each term of the equation by 2

x^2 + 3x - 10 = 0

Rewrite the expression in factorized form

x^2 + 5x - 2x - 10 = 0

Factor the expression

x(x + 5) - 2(x + 5) = 0

(x + 5) (x - 2) = 0

Separate into possible cases but when the product of factors equals 0, at least one factor is 0.

x + 5 = 0———equation (1)

x - 2 = 0———-equation (2)

Solve the equations

x + 5 = 0———equation (1)

Make x the subject

x = 0 - 5

x = -5

x - 2 = 0———equation (2)

Make x the subject

x = 0 + 2

x = 2

Hence, the possible values of x are -5 and 2.

Answer:

Step-by-step explanation:

12inches/foot , 12x132=1,584 inches

Answer:

hope this helps

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

it is because when you use a scientific calculator you get 10.09950494

which would be round to 10 because after the decimal the number is 0 below 5 so 10 stays as 10

hope this helps

The best approximation for the value of √102 is: 10.

The square root of 102 is:

√102

=10.09950494

Now if we approximate 10.09950494 it would give us:

Approximation= 10.09950494

Approximation= 10 (Approximately)

Therefore The best approximation for the value of √102 is: 10.

Learn more about  approximation here:https://brainly.com/question/1980606

Answer: [tex]30[/tex]

Step-by-step explanation:

Given

[tex]k(x)=2x+3[/tex]

[tex]M(x)=3x^2+7x-10[/tex]

[tex]M\left(k(x)\right)[/tex] is given by replacing the [tex]x[/tex] by [tex]k(x)[/tex] from the [tex]M(x)[/tex]

[tex]\Rightarrow M\left(k(x)\right)=3(2x+3)^2+7(2x+3)-10\\\Rightarrow M\left(k(x)\right)=3(4x^2+9+12x)+14x+21-10\\\Rightarrow M\left(k(x)\right)=12x^2+50x+38[/tex]

Now, [tex]M\left(k(-4)\right)[/tex] is

[tex]\Rightarrow M\left(k(-4)\right)=12(-4)^2+50(-4)+38\\\Rightarrow M\left(k(-4)\right)=192-200+38\\\Rightarrow M\left(k(-4)\right)=30[/tex]

Answer:

1.07meters

Step-by-step explanation:

Given data

Lenght of ribbon= 4 meters

Number of pieces= 3 pieces

Length of first piece= 1.28meters

Length of second piece= 1.65meters

Let the length of the third piece be x  meters

Hence

1.28+1.65+x= 4

2.93+x=4

x= 4-2.93

x=1.07meters

Hence, the length of the third piece is 1.07meters

Answer:

a

c

c

a

Step-by-step explanation:

Answer: 804.25

Step by step explanation:

Answer:

Answer:

Step-by-step explanation:

You graph it

Answer:

<1 is 45○

Step-by-step explanation:

180-90 = 90

90 / 2 = 45

Answer:

Each angle=60°

Answer:

[tex]A = P(1 +\frac{r}{n} )^{nt}[/tex]

A = 3000(1 + .06/12)^120

strange the question did not want you to calculate the amount

that was given....

the interest is 5,458.19 - 3000 = 2,458.19

Step-by-step explanation:

Step-by-step explanation:

5x5

because 5^2 equals the area

Answer: 5.8 +0.6x

Step-by-step explanation:

Answer:

This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.

Step-by-step explanation:

-3x+3y=9

-x+y=3

Isolate either x or y in any of the equations. I'll go with the second.

y = 3+x

Now substitute this for y in the first equation.

-3x+3(3+x)=9

Distribute the 3

-3x+9+3x=9

Combine like terms:

9=9

0=0

It's infinite

Answer:

44+-3.169(6.7/root11)

Step-by-step explanation:

The 99% confidence interval for the mean weight in kg of pumpkins grown by Fiona in the harvest for the provided sample is,

[tex]44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}[/tex]

The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

Fiona grows large pumpkins and wants to estimate the mean weight of the approximately 500 pumpkins in her harvest.

She takes a random sample of 11 of these pumpkins. Here, the sample size is 11 which is less than 30. Thus, use the formula mentioned below.

[tex]\overline x\pm t\times\dfrac{\sigma}{\sqrt{n}}[/tex]

Here, (n) is the sample size, [tex]\overline x[/tex] is the mean of the sample.

Degree of freedom is,

[tex]DF=11-1=10[/tex]

For this, the value of t from the t table is 3.169 for 99% confidence interval.

The mean weight of 44 kg and a standard deviation of 6.7 kg they find. Put these values in the above formula,

[tex]\overline x\pm t\times\dfrac{\sigma}{\sqrt{n}}=44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}[/tex]

Thus, the 99% confidence interval for the mean weight in kg of pumpkins in the harvest for the provided sample is,

[tex]44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}[/tex]

Learn more about the mean here;

https://brainly.com/question/14532771

Answer:

Waylon played 20 games

Step-by-step explanation:

Have a great summer :)

Answer:

20 games

Step-by-step explanation:

Answer:

45 years

Step-by-step explanation:

28t = 1,260

Divide both sides by 28

t = 45

Answer:

(B). between 2.5 and 3.0 and between 4.0 and 4.5.

Step-by-step explanation:

According to the Question,

From the given table it is clear that the value of function are

 x   |  f(x)  |   Sign

2.0 |  2.8  | Positive  

2.5 |  1.1    | Positive

3.0 | –0.8 | Negative

3.5 | –1.2  | Negative

4.0 | –0.3 | Negative

4.5 |  0.7  | Positive

Therefore, the correct option is B.

Answer:

(1,0)

Step-by-step explanation:

Answer:

Period is [tex]\frac{\pi}{2}[/tex]

Step-by-step explanation:

For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].

Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].

What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.

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

Explanation:

A sequence is simply a list of values. There may or may not be a pattern to the list, though usually in a math class your teacher would use a pattern.

A series is where we add partial sums of a certain sequence to form a new sequence. For example, let's say A = {44, 44, 44, ...} is one sequence and we could form a list of partial sums to be B = {44, 88, 132, ...} The 88 is from adding the first two terms of sequence A together. The 132 is from adding the first three terms of sequence A. This process is continued forever.

For a series to be convergent, the terms must approach some finite single value. They likely won't actually reach this value but they should get closer and closer (think of it like an asymptote). When I formed series B shown above, note how the terms keep growing. It turns out they won't stop growing either and that means the series diverges to positive infinity. So we rule out choice B. The same happens for choices A and C as well.

To make sure the series approaches some finite value, the underlying sequence its based on must have the terms approaching 0. Choice D seems to have this happen. The terms of the sequence are getting smaller and smaller. Adding on smaller pieces will produce terms in a series that would likely get us closer to some finite target.

Keep in mind that not all decreasing sequences have a converging series. A famous example would be the harmonic sequence {1, 1/2, 1/3, 1/4, ...} which its series does not converge. The proof of this lengthy so I'll leave it out.

In the case of choice D, it is a geometric sequence with a = 120 as the starting term and r = 0.8 as the common ratio. The series converges to

S = a/(1-r) = 120/(1-0.8) = 600