What angle in radians is subtended by an arc of 1.60 mm in length on the circumference of a circle of radius 2.54 mm

Answer:

[tex]=2x^2+3xy-2y^2[/tex]

Step-by-step explanation:

When given the following problem;

[tex](2x-y)(x+2y)[/tex]

Distribute, multiply every number in one of the parenthesis by every number in the other;

[tex](2x-y)(x+2y)\\=(2x)(x)+(2x)(2y)+(-y)(x)+(2y)(-y)[/tex]

Simplify,

[tex]=(2x)(x)+(2x)(2y)+(-y)(x)+(2y)(-y)\\=2x^2+4xy-xy-2y^2\\=2x^2+3xy-2y^2[/tex]

Therefore, the final answer is;

[tex]=2x^2+3xy-2y^2[/tex]

Answer:

[tex]y= \frac{1}{2} x +6[/tex]

Step-by-step explanation:

[tex]x/2-y+6=0[/tex]

[tex]x/2 +6=y[/tex]

[tex]y= \frac{1}{2} x +6[/tex]

Answer:

The y-coordinate is 4. The point is (2,4)

Step-by-step explanation:

The point is 4 units above the x axis.

Answer:

y-coordinate=4

Step-by-step explanation:

Answer:

8/15

Step-by-step explanation:

The ratio of perpendicular to base is tan B .

Here ,

=> tan B = 8 ft/ 15ft

=> tan B = 8/15

Answer:

Step-by-step explanation:

We'll start with going form exponential to radical, since it may be easier to follow. For example,

[tex]x^{\frac{4}{3}[/tex] can be written, in radical form, as

[tex]\sqrt[3]{x^4}[/tex]. What happens is that the denominator of the fraction serves as the index (the number that sits in the bend of the radical) and the numerator serves as the power on the variable (or number, if that's the case). Let's look at another one:

[tex]4^{\frac{2}{3}[/tex] becomes

[tex]\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}[/tex]

And you can go the other way with it. For example,

[tex]\sqrt[5]{x^4}[/tex] becomes

[tex]x^{\frac{4}{5}[/tex], etc. Get it?

Answer:

When you're given a problem in radical form, you may have an easier time if you You can rewrite every radical as an exponent by using the following property — the top ... For example, 643/2 is easier if you write it as (641/2)3 = 83 = 512 rather than (643)1/2,  Rewrite the entire expression using rational exponents.

Answer:

[tex]j = - 0.45[/tex]

Step-by-step explanation:

Combine like terms and apply the rules of algebra.

[tex]2.25 - 11j - 7.75 + 1.5j = 0.5j - 1[/tex]

[tex] - 5.5 - 9.5j = 0.5j - 1[/tex]

[tex] - 9.5j = 0.5j + 4.5[/tex]

[tex] - 10 j= 4.5[/tex]

[tex]j = - 0.45[/tex]

Answer: j = -0.45

Step-by-step explanation:

Step 1: Combine like terms

2.25 - 11j - 7.75 + 1.5j = 0.5j - 1

-5.5 - 9.5j = 0.5j - 1

Step 2: isolate your variable

-5.5 - 9.5j = 0.5j - 1

Subtract 0.5j from both sides

-5.5 - 10j = -1

Add 5.5 to both sides

-10j = 4.5

Divide both sides by -10

j = -0.45

Answer:

how to solve your problem

Step-by-step explanation:

2x320=425

subtract both 320 both from sides of the equation

2x+320-320=425-320

subtract numbers

2x=105

divide both sides of equation by the same terms

2x/2=105/2

simplify

x=105/2

answer is x=105/2

Answer:

I45

Step-by-step explanation:

Answer:

The t-value for this data is -4.

The p-value of the test is 0.0003 < 0.05, which means that the null hypothesis can be rejected.

Step-by-step explanation:

College national study finds that students buy coffee from a coffee shop on average 12 times a week, I believe it may be different for UML students.

At the null hypothesis, we test if the mean is of 12, that is:

[tex]H_0: \mu = 12[/tex]

At the alternative hypothesis, we test if the mean is different of 12, that is:

[tex]H_1: \mu \neq 12[/tex]

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that [tex]\mu = 12[/tex]

I collect data from a sample of 36 UML students and find that they buy coffee on average 8 times a week, with a standard deviation of 6 days.

This means that [tex]n = 36, X = 8, s = 6[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{8 - 12}{\frac{6}{\sqrt{36}}}[/tex]

[tex]t = -4[/tex]

The t-value for this data is -4.

P-value of the test:

Considering a standard significance level of 0.05.

Test if the mean is different from a value, so two-tailed test, with 36 - 1 = 35 df and t = -4. Using a t-distribution calculator, the p-value is of 0.0003.

The p-value of the test is 0.0003 < 0.05, which means that the null hypothesis can be rejected.

Answer: 40 seconds per worksheet

Step-by-step explanation:

From the information given in the question, we are informed that Robert took 8 minutes to complete his 12 worksheets.

Based on this, his unit rate of completing worksheets will be given as:

= 8 minutes / 12

= 480 seconds / 12

= 40 seconds per worksheet

Note 1 minute = 60 seconds

8 minutes = 8 × 60 = 480 seconds

Answer:

false

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

x = number of glasses of iced tea

y = number of glasses of lemonade

The total number of glasses is

x + y

The total number of glasses is 44

x + y = 44

This is not a choice, but the answer must be equivalent to this equation.

Solve for x by subtracting y from both sides.

x = 44 - y

Answer: D.

Answer:

Solution given:

it is a right angled isosceles triangle

so

perpendicular [p]=base[b]=3

hypotenuse [h]=x

we have

by using Pythagoras law

p²+b²=h²

3²+3²=h²

18=h²

h=[tex]\sqrt{18}[/tex]

x=[tex]\bold{3\sqrt{2}}[/tex]

Answer:

= 7. 343 × 10^19 ×81

= 1.377 × 10^21

Answer:1. = 4x+8  

2. 2a²-a+1

Step-by-step explanation:

1. ((x+2)+3x+6.  2. 2a(a-1)-a+1​

((x+2)+3x+6

= x+2+3x+6

= 4x+8

2a(a-1)-a+1

2a²-2a-a+1

2a²-a+1

Answer:

h = 3, k = 64

Step-by-step explanation:

Given

[tex]log_{2}[/tex] y = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] x + 3

In the form

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

Then

h = 3

On the [tex]log_{2}[/tex] axis [tex]log_{2}[/tex] y = 0 then

0 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k + 3 ( subtract 3 from both sides )

- 3 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k ( divide both sides by - [tex]\frac{1}{2}[/tex] )

6 = [tex]log_{2}[/tex] k , then

k = [tex]2^{6}[/tex] = 64

Answer:

5÷35 = 1/7× 100

Step-by-step explanation:

P(E)= n(E)÷ n(s)

Answer:

17%

Step-by-step explanation:

Add all of the students up and then form a ratio:

30 students in total; 5 seniors/30 students

5/30 = 1/6 = 16.67%

(I think that's the answer, hope it helps)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\huge x=-6[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\-8x-4(x-4)=88\\-------------\\\rightarrow -8x-4x+16=88\\\\\rightarrow -12x + 16 = 88\\\\\rightarrow -12x + 16 - 16 = 88 - 16\\\\\rightarrow -12x = 72\\\\\rightarrow \frac{-12x=72}{12}\\\\\rightarrow \boxed{x=-6}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: x = -6

Step-by-step explanation: Start by changing the - 4 to plus a negative 4 so that you know you're distributing a -4 through the parentheses.

So we have -8x - 4x + 16 = 88.

Simplifying the left side further gives us -12x + 16 = 88.

Now subtract 16 from both sides to get -12x = 72.

From here it should be easy to find the x = -6.

Step-by-step explanation:

Hope it helps If u have any confusion regarding this kindly inform me , i will try my best to answer

[tex]\tt\displaystyle\ \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]

Hello,

if p is false then ~p is true

if q is false then ~q is true

if ~p is true and ~q is true then ~q and ~p is true

Answer:

[tex]{ \bf{x = \sqrt{ {12}^{2} - { \sqrt{122} }^{2} } }} \\ x = \sqrt{22} \: in[/tex]

Answer: 40353607

Step-by-step explanation:

[tex]7^9\\[/tex] = 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 = 40353607

Answer:

$35000

Step-by-step explanation:

A = P(1+rt)

A = 25000*(1+4%*10)

A = 35000

BRAINLIEST PLEASEEEEEEEEEEE

Answer:

condition

Step-by-step explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

On the other hand, an observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).

Hence, the main purpose of doing an experiment over an observational study is to learn whether a certain condition causes a certain response.

Cause and effect can be defined as the relationship between two things or events in which an occurrence of one (cause) leads to the occurrence of another (effect).

7m + 12 = -4m + 78

7m + 4m = 78 - 12

11m = 66

m = 6

I hope you understand...

Mark me as brainliest...

Hello,

d)

The tangential angle of mesure x intercept the same arc intercepted by the inscribed angle of mesure 70 have the same mesure:

x=70°

e)

There is a rectanglar triangle with a angle of 64°

The complement is 90°-64°=26°

The inscribed angle of mesure x has a mesure which is the half of the center angle of 26°

So x=13°

I hope i have used the right words in my answer.

Answer:

0.5miles

Step-by-step explanation:

800meters is 0.497097miles

Round 0.497097miles to the nearest hundredth which would be 0.5 miles.