What is the value of y?

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\frac{-9p^{-5}(-7)r^{-7}(-4)p^{-4}}{4p^{-10}3p^{10}4p^{-2}}=\frac{(-9)*(-7)-(-4)*r^{-7}*p^{-5+(-4)}}{4*3*4*p^{-10+10+(-2)}}\\\\=\frac{(-3)*(-7)*(-1)r^{-7}p^{-9}}{1*1*4*p^{-2}}\\\\=\frac{(-21)r^{-7}p^{-9 - (-2)}}{4}\\\\=\frac{-21r^{-7}p^{-9+2}}{4}\\\\=\frac{(-21)r^{-7}p^{-7}}{4}[/tex]

Answer:

\frac{2\sin(x)}{2\left(\cos(x)\right)^{3}-\sin(2x)} and \frac{2\sin(x)}{2\left(\cos(x)\right)^{3}+\sin(2x)}

Answer:

There's nothing there.

Answer:

$41.75

Step-by-step explanation:

$251-84=167

167 divided by 4 is $41.75

Hope this helps! :)

Answer: They are not equivalent to each other because x+2-3x-10 is -2x-8 and x-3x-2-10 is 4x-12 so yeah

Step-by-step explanation:

there you go

Answer:

The total amount is 384

Step-by-step explanation:

Let m = the amount of money

5/8 of the money is 240

5/8 * m = 240

Multiply each side by 8/5

8/5 * 5/8 * m = 8/5 * 240

m =384

The total amount is 384

Answer:

[tex]x=21 ways[/tex]

Step-by-step explanation:

From the question we are told that:

Bike space [tex]N=7[/tex]

Number of Bike [tex]n=5[/tex]

Generally the equation for This combination is mathematically given by

 [tex]x=^NC_n[/tex]

 [tex]x=^7C_5[/tex]

 [tex]x= \frac{7!}{5!2!}[/tex]

 [tex]x= 7*6/2[/tex]  

 [tex]x=21 ways[/tex]

Answer:

Step-by-step explanation:

4(-3)-7+2(-3)+4

 =-21

Answer:

E. p - 7 + 7 = 22 + 7

Step-by-step explanation:

p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)

p = 22 + 7

p - 7 = 22//

Answer:

yes

Step-by-step explanation:

the packs are fighting for a common goal against each other

so they are competing

Answer: C(t) =0.10t+25

Step-by-step explanation:

you can plug in the information as a slope of a line. (55-40)/(300-150) = 0.10

then enter it into the point slope form with point (150,40)= y-40=0.10(x-150) when done you get y=0.10x+25 which is the answer C(t)=0.10t+25

Given:

Angle IHG formed by two rays.

To find:

The rays that form the sides of ∠IHG.

Solution:

From the given diagram it is clear that the initial point of both rays is point H.

First ray passes through the point I with initial point H, so the name of first ray is [tex]\overrightarrow{HI}[/tex].

Second ray passes through the point G with initial point H, so the name of second ray is [tex]\overrightarrow{HG}[/tex].

The rays [tex]\overrightarrow{HI}[/tex] and [tex]\overrightarrow{HG}[/tex] form the sides of ∠IHG.

Therefore, the correct options are E and F.

Answer:

[tex]Area = 12.00[/tex]

Step-by-step explanation:

Given

[tex]\theta = m\angle RST = 86^o[/tex]

[tex]r = RS = 4[/tex]

Required

Area of RST

The sector area is calculated using:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{86}{360} * 3.14 *4^2[/tex]

[tex]Area = \frac{86* 3.14 *4^2}{360}[/tex]

[tex]Area = \frac{4320.64}{360}[/tex]

[tex]Area = 12.00[/tex] ------------ approximated

Answer:

Chisquare goodness of fit test

Step-by-step explanation:

Given the data:

Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 25 28 24 18 17 27 9 18 22 14 12 26

The Chisquare goodness of fit test is used to test the relationship between the observed and theoretical or expected model data. Here, we make and assumption about the population using the sample distribution. For the goodness of fit test, there is only one observed variable, here it is the number of factory accident. The null hypothesis is of the claim that the number of factory accidents per month is the same for each month ;

Null hypothesis : Number of factory accident each month is the same ; while the alternative hypothesis is tests that some month gave greater number of accidents, that is ; the number of factory accidents is not the same for each month.

Answer:

Step-by-step explanation:

the number 2 is in the ones place

its a pretty easy answer

Answer:

26.16

Step-by-step explanation:

14.66 + 11.5 = 26.16

The total weight of the newspapers that are collected for recycling is given by 26.16 pounds.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here:  Mike collected 14.66 pounds and Felix collected 11.5 pounds.

We know, Addition is used to figure out the total of two or more numbers. Subtraction is used to find the difference between two numbers.

Thus the total pounds of newspaper in the recycling project is given by

W=14.66+11.5

  =26.16 pounds.

Hence, The total weight of the newspapers that are collected for recycling is given by 26.16 pounds.

Learn more about BODMAS rule here:

https://brainly.com/question/29795897

#SPJ2

Answer:

Step-by-step explanation:

First fill in the missing angles of each triangle:

angle IJK = 180-47-51 = 82°

angle KJL = 180 - 63 - 57 = 60°

Within EACH triangle, the side length is proportional to the opposite angle.

Therefore for triangle IJK,

JK < JL < IK

and for triangle JKL

JL < KL <JK

so combining (chaining) the two inequalities,

JL < LK <JK < JL < IK

Answer:

Step-by-step explanation:

first lets find angle J in triangle IJK

for angle J

47 + 51 + angle J =180 degree (sum of interior angle of a triangle )

98 + angle J =180

angle J =180 - 98

angle J =82 degree

Now lets find angle J in triangle JKL

for angle J

57 + 63 + angle J =180 degree (being sum of interior angle of the triangle)

120 + angle J =180

angle J = 180 - 120

angle J =60 degree

now lets place the angle from samllest to largest

angle I = 41 degree

angle K = 51 degree

angle K of JKL triangle = 57 degree

angle J of JKL triangle = 60 degree

angle L =63 degree

angle J of IJK triangle = 80 degree

Side opposite to the smallest angle is smallest in sides and side opposite to the longest angle is largest in side.So,

side opposite to angle I is JK

side opposite to angle K is IJ

side opposite to angle K of JKL triangle is JL.

side opposite to angle J of JKL triangle is LK.

side opposite to angle L is JK.

side opposite to angle J of IJK triangle is IK.

therefore required answer is

JK , IJ , JL , LK , JK , IK

Answer:

m∠1 =  81

m∠2 =  99

Step-by-step explanation:

The angles are supplemaentary and therefor sum to 180

3x + (x + 72) = 180

4x + 72 = 180

4x = 108

x = 27

m∠1 = 3x

m∠1 = 27(3)

m∠1 =  81

m∠2 = x + 72

m∠2 = 27 + 72

m∠2 =  99

Answer: 1.302

Step-by-step explanation:

The sample used was 43 retirees, so n=43. To find the degrees of freedom:

df=n−1=43−1=42

The confidence level is given in the scenario: 80%. So,

α=1−CL=1−0.8=0.2

But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.

We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).

The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean

A confidence interval is a range of values, derived from a sample of data, that is likely to contain an unknown population parameter with a certain level of confidence.

here, we have,

The sample used was 43 retirees, so n=43.

To find the degrees of freedom:

df=n−1=43−1=42

The confidence level is given in the scenario: 80%. So,

α=1−CL=1−0.8=0.2

But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.

We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).

Hence, The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean

To learn more about the confidence interval, visit:

brainly.com/question/17097944

#SPJ2

Step-by-step explanation:

are you sure you wrote the problem here correctly ?

because the distance will be 40km after less than half an hour just by the first car driving. way before the second car even starts.

to be precise, it would be after 60 minutes × 40 / 90

(= how many minutes of an hour are needed to reach 40km while going 90km/h) :

60 × 40 / 90 = 60 × 4 / 9 = 20 × 4 / 3 = 80/3 = 26.67 minutes.

but maybe the question was about 400km distance between the two cars.

so, the first car goes 90km/h for 2 hours.

at that moment it will be 2×90=180km ahead.

that would mean that 220km are still missing for the 400km assumption.

with each hour driving the first car makes 20km more than the second car.

to build up 220km that way would require

220/20 = 11 hours.

plus the 2 original head start hours this would make 13 hours as overall answer.

Answer: raw data

Step-by-step explanation:

Raw data, is also referred to as the primary data, and it refers to the data that's collected from a source. It is a day that is yet to be processed. e.g the raw scores during examination can be considered to be raw data since it hasn't been processed yet to get further information.

Therefore, if the numbers collected from a survey are measurements, then the measurements before any calculation is performed is called raw data.

Answer:

$1200

Step-by-step explanation:

S + C = 1200

S = C + 900

C + 900 + C = 1200

2C + 900 = 1200

2C = 300

C = 150

The chair costs $150. The sofa is $1050.

Together they cost $1200.

Answer:

133 - x = 180

x= 47

142 - y = 180

y = 38

x + y = n

47 + 38 = 85

Answer:

Part a) (a,b,c)=(10,19,9)

Part b) (a,b,c)=(9,3,1)

Please let be know if I have interpreted your question correctly. Thank you.

Step-by-step explanation:

Part a)

This is the way I interpret part a:

Find integers a,b,c such that a|(b-c) but a does not divide b and a does not divide c.

There are many triples satisfying part a.

One such triple is (a,b,c)=(3,10,7).

3 divides 10-7

But 3 does not divide 10 and 3 does not divide 7.

Another example is (a,b,c)=(2,7,5).

2 divides 7-5

But 2 doesn't divide 7 and 2 doesn't divide 5.

I will give another example.

(a,b,c)=(10,19,9)

10 divides 19-9

But 10 doesn't divide 19 and 10 doesn't divide 9

Part b)

This is the say I interpret part b:

a | (2b + 3c) but a does not divide b and a does not divide c

So lets let b=2 and c=5, then 2b+3c=19.

We just need to choose an a such that it divides 19 but not 2 and 5. That should be easy. 19 itself will do that.

So one (a,b,c) could be (19,2,5).

Let's try for another example.

Let b=3 and c=1.

Then 2b+3c=9.

So we just need to find an a that divides 9 but not 3 and not 1.

9 works.

So another example is (9, 3,1).

Answer:

3/8 pounds is greater than 1/4 pounds

Step-by-step explanation:

Turn 1/4 to 2/8 by multiplying the top and bottom by 2

Compare

3/8>2/8

Answer:

Step-by-step explanation:

c

Answer:

undefined

Step-by-step explanation:

Given two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -2 -7)/(-11 - -11)

   = (-2-7)/(-1+11)

   = -9/0

Dividing by zero give an undefined answer

undefined

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Undefined Slope  

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Recall the Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\-----------------\\m=\frac{-2-7}{-11-(-11)}=\frac{-9}{0}\\\\[/tex]

⸻⸻⸻⸻

The slope is undefined. You cannot divide by zero.

»»————-　★　————-««  

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