Point I is on line segment HJ. Given HI = x, HJ = 3x - 9, and
IJ = x + 5, determine the numerical length of HJ.
Answer: HJ =

Answer:

5/18

Step-by-step explanation:

1/2 × 9/9 = 9/18

2/9 × 2/2 = 4/18

This means we have 9/18 and 4/18 left in the circle. Because these fractions have a common denominator, we can now subtract them from the whole to find the shaded portion:

18/18 - 9/18 - 4/18 = 5/18

The shaded portion is 5/18, which is already in simplest form.

Answer:

11/10 and 3/4

Step-by-step explanation:

To find the better cost, you need to determine which options has a lower cost per bagel.

Answer: |-3| is actually just positive 3 because when its in those lines it means absolute value. and -3 is just -3, but if it was in those lines then that just means its the positive of that number.

Step-by-step explanation:

Answer:

The bench costs $388.

Step-by-step explanation:

Let the cost of the bench be x

The cost of the garden table = x + 87

x + (x + 87) = 863

2x + 87 = 863

2x = 776

x = 388

The bench costs $388 and the garden table costs 388 + 87 = $475

475 + 388 = 863

sin( θ) = 12/13 and tan( θ) = 12/5.

sin θ, cos θ, tan θ are the three important trigonometry functions.

If θ lies in the first quadrant that is 0 ≤ θ < π/2, then the value of all trigonometry functions is positive.

The three most significant trigonometry functions are sin θ, cos θ, and tan θ.

If θ is located in the first quadrant, which is equal to θ/2, then all trigonometric functions have positive values.

The three important trigonometry identities are:

sin²( θ ) + cos²( θ ) = 1

1 + tan²( θ ) = sec²( θ )

1 + cot²( θ ) = csc²( θ )

Now we have,

cos θ = 5/13

Then,

sin²( θ ) + cos²( θ ) = 1

sin²( θ ) + ( 5/13 )² = 1

sin²( θ ) + 25/169 = 1

sin²( θ ) = 1 - 25/169

sin²( θ ) = ( 169 - 25)/ 169

sin²( θ ) = 144/ 169

sin( θ ) = √( 144/ 169 )

sin( θ ) = ± 12/13

Since, 0 ≤ θ < π/2

sin( θ ) = 12/13

Now we know,

tan(θ) = sin(θ) / cos(θ)

tan(θ) = ( 12/13 ) / ( 5/13)

tan(θ) = 12/5

Learn more about trigonometric functions here:

https://brainly.com/question/1143565

#SPJ9

Answer:

3. 252

4. 3192

5. 12.80364072

Step-by-step explanation:

3. use PEMDAS so division first 63÷9=7

36*7=252

4. -3*-8=24

24*-7=-168

-168*-19=3192

5. Simply multiply and add decimal places

Answer:

C: 88

Step-by-step explanation:

There is a triangle that contains y, 53°, and 39°. So by this, you know that y + 53 + 39 = 180 (sum of triangle angles).

y = 180 - 53 - 39

y = 88°

Hope this helps! :)

The probability that no one in a family of five will be hospitalized in a year 0.2373 .

Let P(E) denote the probability of being hospitalized during a year and P'(E) the probability of not being hospitalized during a year

Then , using equation (1) , we get

          [tex]0.25+P'(E)=1\\P'(E)=1-0.25\\P'(E)=0.75[/tex]

The probability that no one in a family of five will be hospitalized in a year is equal to [tex](P'(E))^n[/tex] where n is the number of member .

   [tex](P'(E))^n=(0.75)^5\\(P'(E))^n=0.2373[/tex]

Learn more about probability here :

https://brainly.com/question/25870256

#SPJ9

Answer:(x−3)2+ (y−5)2=5 8

Step-by-step explanation:

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner. The missing numbers in the given number sentence are 4000 and 20.

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.

The given number is

24321

This we can express in standard form as,

20000+4000+300+20+1.

The given expression is 20 000 +x+300+y+1.

If we compare the above expression with standard form of 24321 we get the values of x and y. so x is 4000 and y is 20.

The missing numbers in number sentence are 4000 and 20.

To learn more on number system click:

https://brainly.com/question/22046046

#SPJ1

The equivalent expression to (4x−3y⁴) × −2 will be = -8x + 6y⁴.

It should be noted that the information is to calculate the equivalent expression to (4x−3y⁴) × −2.

This will be:

= -2(4x−3y⁴)

= -8x + 6y⁴

It should be noted that the equivalent expression will be = -8x + 6y⁴.

It should be noted that the options aren't written properly but the question has been solved.

Learn more about expressions on:

brainly.com/question/25968875

#SPJ1

Answer:

unlimited is the weight

Step-by-step explanation:

Weight : 58283624946946784640469267619046404.4691649469464846404694956596894

The inequality that can be used to find the least and greatest temperatures that meet this requirement is D. x − 2 ≥ 85

The least allowable temperature is 83° degrees Fahrenheit.

The greatest allowable temperature is 87 degrees Fahrenheit.

From the information, the fitness center requires its swimming pool to be within 2 degrees of 85 degrees Fahrenheit.

In this case, the inequality that can be used to find the least and greatest temperatures that meet this requirement is D. x − 2 ≥ 85.

The least allowable temperature is:

= 85 - 2

= 83° degrees Fahrenheit.

The greatest allowable temperature is:

= 85 + 2

= 87 degrees Fahrenheit.

Learn more about inequalities on:

brainly.com/question/11613554

#SPJ1

Income tax will Ted delay in paying every month by putting his money into a 401k is $51.6.

Income taxes are levied against individuals or groups based on their earnings or profits. Income taxes are normally calculated by multiplying tax rates by taxable income. Depending on the characteristics of the taxpayer and their source of income, tax rates may vary.

Ted started a 401k account.

The income tax bracket is 30%.

Ted's saving $172 every month in a 401k account.

The income tax that Ted will delay in paying every month will be:

= 172 × 30%

= $51.6

Hence, Ted's take-home pay will decrease by $51.6 each month.

The tax Ted will delay in paying every month is $51.6.

Learn more about income tax here:

https://brainly.com/question/26316390

#SPJ1

Answer:

It costs 50

Step-by-step explanation:

I think this is right

The volume of the glass jar is 87.96 cubic inch.

Volume is a unit used to express how much three-dimensional space is occupied. It is usually represented quantitatively in different imperial measures, such as the gallon, quart, and cubic inch, or in SI-derived units like the cubic meter and liter. The cubic concept of length and volume are connected.

Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it may occupy in three dimensions.

The capacity of the jar is calculated as

Volume of cylinder = [tex]\pi r^{2}h[/tex] = [tex]\pi (2^{2})7[/tex] = [tex]28\pi[/tex] = 87.96 cubic inch.

Hence the capacity of the glass jar is 87.96 cubic inches.

To know more about volume, click on the link

https://brainly.com/question/12428413

#SPJ9

Based on the fact that Sean made a dozen brownies with 3/4 cups of sugar, the amount of sugar in each brownie is 1 / 16 cups of sugar

A dozen brownies were made with 3/4 cups of sugar. This means that 12 brownies were made by using 3/4 cups of sugar.

To find the amount of sugar used per brownie, the formula is:
= Number of cups of sugar / Number of brownies made

Solving for the cups of sugar per brownie gives:
= 3/4 ÷ 12

= 0.75 / 12

= 0.0625

= 1 / 16 cups of sugar

Find out more problems related to cups used at https://brainly.com/question/25936585

#SPJ1

Answer:

The answer is C

Step-by-step explanation:

If you substitute -2 for x, then you get

3+2(-2+5)^2

so first we have -2+5, which is 3.

Then we hae 3^2, which is 9.

Then we have 9*2, which is 18.

Then we have 18+3, which equals 21.

Answer:

21

Step-by-step explanation:

The answer is 21

Hope this help you..

The maximum value of f(4) will be 23.

What is Mean value theorem?

Mean value theorem states that if a function f is continuous on the closed interval [a ,b] and differentiable on the open interval (a ,b), then there exists a point c in the interval (a, b) such that f'(c) is equal to the function's average rate of change over [a, b].

That is;   [tex]f'(c) = \frac{f((b) - f(a)}{b - a}[/tex]

Given that;

⇒ f(0) = -1 and f′(x) ≤ 6 for all values of x.

Now, According to Mean value theorem;

[tex]f'(x) = \frac{f(4) - f(0)}{4 - 0}[/tex]

Since, f′(x) ≤ 6

Hence,

[tex]f'(x) \leq 6\\\\ \frac{f(4) - f(0)}{4 - 0}\leq 6\\\\ f(4) -(-1) \leq 24\\\\f(4) \leq 23[/tex]

So, The maximum value of f(4) will be 23.

Learn more about Mean value theorem visit:

https://brainly.com/question/25474172

#SPJ1

Based on the rate of the production of yeast packets by the two shifts of Fleischmann’s, the packets produced in each shift were:

Assuming that the number of yeast packets produced in the second shift is x, the number produced in the first shift would be:
= 1½ × x

= 1.5x

The number of yeast packets in the second shift is:

x + 1.5x = 5,600

2.5x = 5,600

x = 5,600 / 2.5

= 2,240 packets

The number of yeast packets in the first shift is:

= 2,240 x 1.5

= 3,360 packets

Find out more on solving for missing values at https://brainly.com/question/11897331.

#SPJ1

Answer:

3/2

Step-by-step explanation:

29-8=21

9-(-5)=14

21/14 =3/2

The value of the mean is a 33.75 in the normal distribution.

According to the statement

We have to find that the students' favorite color was red.

So, For this purpose, we know that the

A mean is simply defined as the average of the given set of numbers.

From the given information:

On a test that has a normal distribution, a score of 45 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean.

Then

The interval for score = 45- 30= 15

If we divide it by the 4 standard deviations; the interval result into

= 15/4

= 3.75

Then, the standard deviation is 3.75, and

The mean = 30+ 3.75

The mean = 33.75

So, The value of the mean is a 33.75 in the normal distribution.

Learn more about mean here

https://brainly.com/question/1136789

#SPJ9

Part A: Yes, there is a correlation between the number of hours students spent studying and the score on the music test because  As we increase the hours of studying by 0.5 hours, then the music score increases by 2.

Part B: A function that best fits the data is; y = 60 + 4x

Part C: The slope and y-intercept of the plot indicates that Y is the score obtained in music test and number of hours spent on studying.

We have given the table below showing the data:

Number of hours spent studying (x) 0 0.5 1 1.5 2 2.5 3 3.5 4

Score on music test (y) 60 62 64 66 68 70 72 74 76

A) As we increase the hours of studying by 0.5 hours, then the music score increases by 2.

B) The function which best fits the data for the correlation from the above is; y = 60 + 4x

C) The slope and y-intercept of the plot indicates that Y is the score obtained in music test and number of hours spent on studying.

The slope of the above equation represents the rate of increase in music score with respect to an increase in the number of hours spent on studying.

The y-intercept gives the music score when the number of hours spent on studying is zero.

Read more about Line of best fit correlation at; https://brainly.com/question/1564293

#SPJ1

The values that are a solution to the inequality are x<-1/4.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

The inequality are

7x +6/2 < 3x +2

According to given question we have

The expression is :

7x +6/2 < 3x +2

compare like terms we get

7x +6/2 < 3x +2

7x-3x<2-3

4x<-1

Divide both sides by 4 we get,

x<-1/4

Hence, the values that are a solution to the inequality are x<-1/4.

Learn more details about  inequality here:

https://brainly.com/question/20383699

#SPJ1

From the set given, the variables we look is as follows

Cricket only

let the number of children for cricket be c = 15

cricket only = 15 - (8 - 5) - (6 - 5) - 5

= 15 - 3 - 1 - 5

= 6

neither cricket tennis nor swimming

tennis only = 18 - (8 - 5) - (9 - 5) - 5

= 18 - 3 - 4 - 5

= 6

swimming only = 17 - (6 - 5) - (9 - 5) - 5

= 17 - 1 - 4 - 5

= 7

tennis and swimming only = 9 - 5 = 4

tennis and cricket only = 8 - 5 = 3

swimming and cricket only = 6 - 5 = 1

tennis cricket and swimming = 5

cricket only = 6

neither cricket tennis nor swimming = all the children - sum of the variables found

= 32 - (6 + 6 + 7 + 4 + 3 + 1 + 5)

= 32 - (32)

= 0

tennis and cricket but not swimming

= tennis and cricket only + cricket only + tennis only

= 3 + 6 + 6

= 15

Read more on sets here: https://brainly.com/question/2166579

#SPJ1

Answer:

Step-by-step explanation:oooooooooooooooooooo

Answer:Move all terms not containing

x

to the right side of the inequality.

x

>

−

5

r

+

20

Step-by-step explanation:

Answer:

I got y= no solution

Step-by-step explanation:

Hope this helps and sorry if I'm wrong

The final answer in scientific notation with the correct number of significant digits, and label with the correct units is 4.1 * 10^6 square ft

The dimensions of the field are given as

Length = 3.3 * 10^3

Width = 2.5 * 10^3

From the question, we have

Half of the field is used to grow crops

This means that the area of the portion of the field that has crops growing is

Area = 1/2 * Length * Width

So, we have

Area = 1/2 * 3.3 * 10^3 * 2.5 * 10^3

Evaluate the product

Area = 4.125 * 10^6

In (a), we have

Area = 4.125 * 10^6

The units are 2 significant digits

So, the result must also have 2 significant digits

This means that

Area = 4.1 * 10^6 square ft (when approximated)

The units are 2 significant digits

So, the result must also have 2 significant digits

Read more about area at

https://brainly.com/question/25292087

#SPJ1