Work out the size of angle X

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: 804.25

Step by step explanation:

Answer:

The answer is 20 gallons of yellow paint

Answer:

20 gallons of yellow paint.

Step-by-step explanation:

4/6 = x/30 is the equation.

4 represents yellow paint.

6 represents blue paint.

We know 30 gallon of blue paints was used.

But we dont know x , the amount of yellow paint.

Criss cross bottom to top

6× X = 4×30

6x= 120

x=20

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:

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.

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:

[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:

Answer:

Waylon played 20 games

Step-by-step explanation:

Have a great summer :)

Answer:

20 games

Step-by-step explanation:

it is the linear equation

Answer:

<1 is 45○

Step-by-step explanation:

180-90 = 90

90 / 2 = 45

Answer:

Each angle=60°

Answer: 5.8 +0.6x

Step-by-step explanation:

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:

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:

(1,0)

Step-by-step explanation:

Answer:

negative signs

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Answer:

9x6+4 = 58

Step-by-step explanation:

9×6 + 4

= 54 + 4

= 58

Answer:

17.1972degrees

Step-by-step explanation:

length of an arc = theta/360 * 2πr

Substitute the given angle;

1.2 = theta/360 * 2(3.14)(4)

1.2 = theta/360 * 25.12

1.2/25.12 = theta/360

0.04777 = theta/360

theta = 360 * .04777

theta = 17.1972

Hence the required angle is 17.1972degrees

Answer:

Answer:

Step-by-step explanation:

You graph it

The answer should be 90 degrees

Answer:

45 years

Step-by-step explanation:

28t = 1,260

Divide both sides by 28

t = 45

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:

Angles ⇒ 40°, 40°, 140°, 140°

Step-by-step explanation:

Since the opposite angles of a parallelogram are equal, and the angles in a quadrilateral add up to 360°:

360 - 2(40) = 280

280/2 = 140°

Angles ⇒ 40°, 40°, 140°, 140°

Answer:

1, 2, and 4 are true statements.

Step-by-step explanation:

1. The positive symbols will become negative once you removed the parenthese. For instance, 2-(3+2)=2-3-2. It’s the same in this problem. 4-2(3+7)=4-(2•3+2•7)=4-2•3-2•7

2. Distributive property. 4-2(3+7)=4+[-2(3+7)]=4+(-2•3+-2•7)

3 is false because the positive symbol is not changed into negative symbol after the parentheses were removed.

4. 4-2(3+7)=4-[2(3+7)]=4-(2•3+2•7)

12 pair=64.32

5 pair=?

first calculate for one pair

one pair= 64.32/12= $5.36

5 pair then would be = $5.36 x 5= $26.8

hope it helps

Answer:

28.6

Step-by-step explanation:

64/12=5.36

5.36x5=28.6

Let me know if I'm wrong.

Answer:

11  1.6

12  Mauricio

Step-by-step explanation:

11.  Take the absolute value of each number to determine which is furthest from zero

|-1.5| and |1.6|

1.5  and 1.6

1.6 is greater than 1.6  so it is further from 0

12.  The fastest time is the smallest time

The ones place all has 7's so look at the tenths place

The smallest number will have the fastest time

Mauricio has a 2 which is the smallest number

Mauricio has the fastest time

Step-by-step explanation:

Hint : we will check for each option whether it is an experiment or not by using the concepts of probability first we will check then if a coin is tossed then it is an experiment or not ? then we will check that if a dice is rolled is it an experiment or not and then we will repeat the same process for choosing a marble from a jar

complete step by step answer and event is a set of outcomes of an experiment to which probability is assigned as take an example when we and I the possibility of 5 appearing on the die is an event if for tossing a coin we do not know the result when a coin is tossed in can give any result whether it will be a head or tails so this is an example for a random experiment if a six-sided dice will be rolled then we do not know what is about to come there result can be anything from 126 so it is also an example for random experiment choosing a marble from a jar is also an experiment because we are choosing one marble from the jar and experiment is a work in which a result can be anything hence option d is the correct option not probability is how likely something is about to happen when a coin is tossed there are two possibility outcomes heads or tails show the probability of an outcome 1

( number of ways it can happen )÷

( total number of outcomes)

so when a coin is tossed the total number of outcomes are to solve the probability of a current head is 1/2

<2 and <6 -----> Neither

<1 and <4 ------> vertical

Hope it helps you...

Step-by-step explanation:

g (f(x)) = 4(2x⁴+10)-15

= 8x⁴+40-15

= 8x⁴+25