the figure, ray OJ is perpendicular to ray OE. If ∠JOL=6x+10 and ∠LOE=x+10, find the measure of ∠LOE.

The two different species of plants will take 5 years to reach the same height.

Given, from the table :

Tree specie A has a:

current height = 38 inches

and its annual growth = 4 inches

Therefore, total height is:

38 + 4x .. eq (1)

Tree specie B has a:

current height = 45.5 inches

and its annual growth = 2.5 inches

Therefore, total height is:

45.5 + 2.5x .. eq (2)

Equate equation 1 and equation 2.

38 + 4x = 45.5 + 2.5x

Subtract the constants.

4x = 45.5 - 38 + 2.5x

4x = 7.5 + 2.5x

now subtract the variables.

4x - 2.5x = 7.5

1.5x = 7.5

x = 7.5/1.5

x = 5

Hence the trees will take 5 years to reach the same height.

Learn more about Solving equations here:

brainly.com/question/13729904

#SPJ1

The cost of a given number of handbags - Discrete

Amount of juice in a jug over time - Continuous

Area of a field based on length - Continuous

Tires in a number of cars -Discrete

A discrete function as its name suggests has distinct or separate values against one value. That is, one at a time values are in a discrete function. So its domain and image sets will have discrete values.

A continuous function has continuous values within intervals. Its domain will be intervals having a continuous range and images will also be in a  continuous range.

We need to check if the following will have a discrete or a continuous graph:

1. The cost of a given number of handbags.

This is a discrete function as the cost and number of handbags will have discrete values. So it will have a discrete graph.

2. Amount of juice in a jug over time

This is a continuous function. The variables here are the amount of juice and time in which time, clearly, is a continuous variable. So it will have continuous values in an interval. So the amount of juice can also be measured continuously. So the graph will be continuous.

3.  Area of a field based on length

Here the length can take continuous values in an interval. So the area can also be measured continuously giving a continuous graph here.

4. Tires in a number of cars.

Number of tires and number of cars both will take only discrete values. So it can only give a discrete graph.

Learn more about discrete and continuous functions at https://brainly.com/question/14812653

#SPJ9

The equation to find the number of players the team can bring to the tournament is xx = ( 2,143.50 - 888.50 )/62.75 and the number of players the team can bring to the tournament is 20.

An equation is a mathematical statement that shows that two or more mathematical expressions are equal.

Equations express the equality of mathematical expressions by using the equation mark (=).

The total amount raised for the tournament is $2,143.50

The price to rent a bus is $888.50.

The cost of budgeted meals per player is $62.75.

The number of players the team can bring to the tournament is:

xx = ( 2,143.50 - 888.50 ) / 62.75.

xx = ( 2,143.50 - 888.50 ) / 62.75

xx = 1,255 / 62.75

xx = 20

Therefore, the equation to calculate the maximum number of players the team can enter the competition is xx = ( 2,143.50 - 888.50 ) / 62.75.

Learn more about equation here:

https://brainly.com/question/2972832

#SPJ9

Answer:

C

Step-by-step explanation:

125 is greater than 23.

Given the question is to explain 125 > 23.

Here we have two numbers which are 125 and 23.

Inequalities:

Whenever we check the number which is greater or lesser by taking the difference between those two numbers we conclude which is greater or lesser.

If the difference between the numbers gets a positive number then the first number is greater than the second.

If the difference between the numbers gets a negative number then the first number is lesser than the second.

If the difference between the numbers gets zero value then the two numbers are equal.

So the difference between the given two numbers are

= 125 - 23

= 102

positive

So 125 is greater than 23.

To learn more about inequalities refer below

https://brainly.com/question/15746367

#SPJ9

Your question is incomplete. Please find the complete question below

.Find 125 is greater than 23. Write about it in words.

The value of the expression 10y²z is -750.

We are to calculate the expression 10y²z when y=−2 and z=−5.

This will be:

10y²z

= 10 × -5² × -3

= 10 × 25 × -3

= -750

The value of the expression 10y²z is -750.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer: -3/4

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: −3/4

y-intercept: (0,0)

x    y

0    0

4   -3

Answer:

Add 11/3+(-5/6)

17/6 it present on number line between

2 and

Step-by-step explanation:

Answer:

1 1/3 (−5/6) using the number line. select the location on the number line to plot the sum

Step-by-step explanation:

The equation of line that passes through the given points in  point-slope form is y - 2 = -4/3( x - 4 ).

Given the data in the question;

Point A(4, 2)

Point B(1, 6)

First, we determine the slope of the line.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 6 - 2 )/( 1 - 4 )

Slope m = ( 4 )/( -3)

Slope m = -4/3

Next, plug the slope -4/3 and point (4,2) into the point slope formula y - y₁ = m( x - x₁ ) and simplify.

y - y₁ = m( x - x₁ )

y - 2 = -4/3( x - 4 )

Therefore, the equation of line that passes through the given points in  point-slope form is y - 2 = -4/3( x - 4 ).

Learn more about  equation of line here: brainly.com/question/2564656

#SPJ1

(3a) The 95% confidence interval of σ[tex]_{1}^{2}[/tex]/σ[tex]_{2}^{2}[/tex] is: [0.1932 , 1.2032].

Variance is the anticipated squared deviation of a random variable from its population mean or sample mean in probability theory and statistics.

F test for variances, using F distribution ([tex]df_{num}[/tex]=19,[tex]df_{denom}[/tex]=20) (two-tailed) (validation).

Hypotheses

[tex]H_{0}:sigma_{1} = sigma_{2}\\\\H_{1}:sigma_{1}\neq sigma_{2}[/tex]

1. H0 hypothesis

Since p-value > α, H0 is accepted.

The sample standard deviation (S) of LaJolla.res' population is considered to be equal to the sample standard deviation (S) of Pt.Loma.ke's population.

In other words, the difference between the sample standard deviation (S) of the LaJolla.res and Pt.Loma.ke populations is not big enough to be statistically significant.

2. P-value

The p-value equals 0.1152, ( p(x≤F) = 0.05759 ). It means that the chance of type I error, rejecting a correct [tex]H_{0}[/tex], is too high: 0.1152 (11.52%).

The larger the p-value the more it supports [tex]H_{0}[/tex].

3. The statistics

The test statistic F equals 0.4796, which is in the 95% region of acceptance: [0.3986 : 2.4821].

S1/S2=0.69, is in the 95% region of acceptance: [0.6313 : 1.5755].

To know more about variance, visit:

https://brainly.com/question/13091634

#SPJ4

The number of number of house holds have pets will be 21450 when 20,735 households do not have pets.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

It is given that the ratio of the households with pets to house holds without pets is 30 to 29 and if 20,735 households do not have pets then it is find the number of number of house holds have pets. It can be find out using the ratio correlation :

That is , 29 is the ratio of house holds without pets ⇒ 20735

1 unit of house holds without pet ⇒ 20735/29 = 715 house hold

Now, the ratio of households with pets  ⇒ 30 x 715 = 21450 house hold

Therefore, the number of number of house holds have pets will be 21450 when 20,735 households do not have pets.

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ4

Answer:

Element  Frequency Cumulative Frequency

15                   3              3

16                   6              9

17                   1              10

18                   6             16

20                   6            22

24                   5            27

25                   6            33

27                   2            35

28                   4            39

30                   1             40

Step-by-step explanation:

Find out how many times an element(data value) appears. That will be the frequency(column 2). The cumulative frequency is the total of all frequencies prior to that element plus the current element frequency

Cumulative frequency for first element is same as its frequency

Cumulative frequency for element 16 is 3 + 6 = 9

Cumulative frequency for element 17 = 3 + 6 + 1 = 9 + 1=10. Basically it is the sum of the previous element cumulative frequency + the current frequency

Answer:

The factored form of 27t^3 - 36t^2 - 12t + 16 is:

(3t - 4) (3t+2) (3t - 2)

Answer:

5x+12

-8

Step-by-step explanation:

i think you have the problem wrong

Answer: r=2.62 cm

Step-by-step explanation:

Cylinder Volume: V=πhr^2

179=π(8.3)r^2

179=8.3*3.14*r^2

179=26.062r^2

r^2=6.87

r=2.62 cm

Answer:

3.14159

Step-by-step explanation:

The value of π correct to 5 decimal places is 3.14159.

Decimal numbers are numbers which includes a whole number part and a fractional part.

The point separating both parts is the decimal point.

Pi, which is written as the Greek symbol π, is defined as the ratio of the circumference of any circle to the diameter of that circle.

We know that,

Circumference of a circle, C = 2 π r, where r is the radius.

2r will be the diameter.

π = C / 2r

The value of pi to 5 decimal places = 3.14159

Normally we use 3.14.

Hence the value of pi is 3.14159 to 5 decimal places.

Learn more about Pi here :

https://brainly.com/question/7676604

#SPJ2

Answer: 13

Step-by-step explanation:

The price that would yield maximum revenue is $260  and maximum revenue is $1,690,000

What is the revenue function?

The fact that total revenue of  the company is the price per purse multiplied by the number of purses sold, means that the revenue modelled function is simply price multiplied by the quantity sold as shown below:

R(x)=P*x

R(x)=Px

R(3000)=$400*3,000

R(3000)=$1200,000

Note for every 500 more purses, the price reduces by $20

R(3500)=$380*3,500

R(3500)=$1,330,000

R(4000)=$360*4000

R(4000)=$1,440,000

R(4500)=$340*4500

R(4500)=$1,530,000

R(5000)=$320*5000

R(5000)=$1,600,000

R(5500)=$300*5500

R(5500)=$1,650,000

R(6000)=$280*6000

R(6000)=$1680,000

R(6500)=$260*6500

R(6500)=$1,690,000

R(7000)=$240*7000

R(7000)=$1,680,000

The total revenue fell at 7,000 purses, which means that the maximum revenue is $1,690,000 at 6500 purses

Find out more about revenue on:brainly.com/question/14305184

#SPJ1

Answer:

You're right, It's option B.

Step-by-step explanation:

The expressions both share two common factors that are whole numbers; 9 and 6. Use those.

9: 1, 3, 9

6: 1, 2, 3, 6

The number of days taken to complete the production of a batch of pens are 22, as calculated by basic algebra.

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.

Now, According to the question, the factories used all 12 machines in the last days, Also, for the first 8 days, only 9 machines were in use.

Thus, If the factories used all 12 machines, the batch of pens took 20 days to be manufactured.

Hence, the equation formed from the given information by basic algebra is: 20 + 12 - 9(8) / 12

28 - (72/12)

=28 - 6 = 22

Hence, The number of days taken to complete the production of a batch of pens are 22, as calculated by basic algebra.

To learn more about basic algebra, refer to the link: https://brainly.com/question/723406

#SPJ9

Answer:

33 times

Step-by-step explanation:

Set up an equation:

3 evens / 6 total = 1/2 probability of rolling an even

66 times x 1/2 probability= 33

Best prediction: 33 times

Hope this helps!

Answer:

SOLUTION: .−5x + 4y = 20. 10x − 8y = −40.

Step-by-step explanation:

First, solve the first equation for y. Then, substitute for y in the second equation. This equation is an identity

Probability of an even number product as requested = 7/10 = .7 = 70%

The probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.

Combinations of 2 digits from among 5 = 5!/(3!)(2!) = 10. Those combinations of 2 digits resulting in an even number product are even*even and even*odd. There are 2 even digits, (2,4), and 3 odd digits, (1,3,5).

Combinations of 2 even digits and 3 odd digits = 3*2 = 6. Combinations of 2 even digits = 1*1 = 1. there are thus 6+1 = 7 distinct 2 digit products that result in even numbers from among 10 possible 2 digit products.

Probability of an even number product as requested = 7/10 = .7 = 70%

For more information on probability click on the link below:

https://brainly.com/question/25870256

#SPJ4

The slope of the line shown is -2/3

The formula for calculating the slope of a line is expressed according to the formula

Slope = Rise/Run

Slope = y₂-y₁/x₂-x₁

Using the coordinate point (-9,-2) and (-6, -4)

Slope = -4+2/-6+9
Slope = -2/3

Slope = negative two third

Hence the slope of the line shown is -2/3

Learn more on slope of a line here: https://brainly.com/question/16949303

#SPJ1

The measure of an angle 2 is 85°.

Given that, ∠6=9x+13 and ∠2=11x-3.

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line.

As we know, corresponding angles are congruent.

So, ∠6= ∠2

⇒ 9x+13=11x-3

⇒ 13+3=11x-9x

⇒ 16=2x

⇒ x=8

Now, ∠2=11x-3

=11×8-3=85°

Therefore, the measure of an angle 2 is 85°.

To learn more about the corresponding angles visit:

https://brainly.com/question/28175118.

#SPJ1

Step-by-step explanation:

11% = 0.11

the remaining part when subtracting 11% from the whole (100%) is 89%.

89% = 0.89

his after-tax wages are 89% of his total income.

w(h) = 15h × 0.89 = 13.35h

Answer:

[tex] \sf \large \: x=8a[/tex]

Step-by-step explanation:

Let's solve for x.

3/ax−4=20

Step 1: Multiply both sides by a.

−4a+3x=20a

Step 2: Add 4a to both sides.

−4a+3x+4a=20a+4a

3x=24a

Step 3: Divide both sides by 3.

3x/3 = 24a/3

x=8a

Answer:

You can't

Step-by-step explanation: