If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.

Answer:

The domain is all values but x=4 and x=2

Step-by-step explanation:

f(x) = (x+1) / ( x^2-6x+8)

Factor the function

f(x) = (x+1) / ( (x-4) ( x-2))

The domain of the function is all values of x except where the function does not exist

This is where the denominator goes to zero

(x-4) ( x-2) =0

Using the zero product property

x-4 =0   x-2 =0

x=4   x=2

The domain is all values but x=4 and x=2

Answer:

Hey there!

This, is the graph of your function:

Thus the domain, or all the possible x values would be all real numbers except 2 and 4, because the lines will only reach 2 and 4 when y is infinity.

Hope this helps :)

Answer:

30 degrees

Step-by-step explanation:

25 cm in length, radius 3.5cm

Answer:

25

Step-by-step explanation:

let his age be x, then

5 years ago his age was x - 5 and in 5 years will be x + 5 , thus

(x - 5)(x + 5) = 600 ← expand factors using FOIL

x² - 25 = 600 ( add 25 to both sides )

x² = 625 ( take the square root of both sides )

x = [tex]\sqrt{625}[/tex] = 25

Answer:

[tex]\boxed{Age \ of \ man = 25 \ years}[/tex]

Step-by-step explanation:

Let the age be x

Then, the given condition is:

(x-5)(x+5) = 600     [ x-5 for age 5 years ago and x+5 for age 5 years after ]

Using Formula [tex](a+b)(a-b) = a^2-b^2[/tex]

[tex]x^2-25 = 600[/tex]

Adding 25 to both sides

[tex]x^2 = 600+25[/tex]

[tex]x^2 = 625[/tex]

Taking sqrt on both sides

[tex]x = 25[/tex] years

Answer:

Step-by-step explanation:

Given the expression after 4 has been subtracted from both sides as

1/2 x = - 1/2 x, the original expression will be gotten by adding back 4 to both sides of the resulting expression as shown;

1/2 x + 4 = - 1/2 x + 4

x/2 + 4 = -x/2 + 4

Find the LCM of both equation;

(x+8)/2 = (-x+8)/2

Multiplying both sides by 2 will give;

x+8 = -x+8

Collecting the like terms;

x+x = 8-8

2x = 0

x = 0/2

x = 0

Hence, the value of x is 0

Answer:

0

Step-by-step explanation:

Answer:

The base is 10cm. The other two sides are 20cm each

Step-by-step explanation:

I believe that "the base is twice shorter" means that the two equal sides of the iscosceles triangle are twice the length of the base.

Using the equation x + 2x +2x = 50 where x is the length of the base, we can simplify it to

5x=50. Then divide both sides by 5 to get the results:

x=10 for the base and

2x=20 for the other two sides.

Answer:

The function has two real roots and crosses the x-axis in two places.

The solutions of the given function are

x = (-0.4495, 4.4495)

Step-by-step explanation:

The given quadratic equation is

[tex]G(x) = -x^2 + 4x + 2[/tex]

A quadratic equation has always 2 solutions (roots) but the nature of solutions might be different depending upon the equation.

Recall that the general form of a quadratic equation is given by

[tex]a^2 + bx + c[/tex]

Comparing the general form with the given quadratic equation, we get

[tex]a = -1 \\\\b = 4\\\\c = 2[/tex]

The nature of the solutions can be found using

If [tex]b^2- 4ac = 0[/tex] then we get two real and equal solutions

If [tex]b^2- 4ac > 0[/tex] then we get two real and different solutions

If [tex]b^2- 4ac < 0[/tex] then we get two imaginary solutions

For the given case,

[tex]b^2- 4ac \\\\(4)^2- 4(-1)(2) \\\\16 - (-8) \\\\16 + 8 \\\\24 \\\\[/tex]

Since 24 > 0

we got two real and different solutions which means that the function crosses the x-axis at two different places.

Therefore, the correct option is the last one.

The function has two real roots and crosses the x-axis in two places.

The solutions (roots) of the equation may be found by using the quadratic formula

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

[tex]x=\frac{-(4)\pm\sqrt{(4)^2-4(-1)(2)}}{2(-1)} \\\\x=\frac{-4\pm\sqrt{(16 - (-8)}}{-2} \\\\x=\frac{-4\pm\sqrt{(24}}{-2} \\\\x=\frac{-4\pm 4.899}{-2} \\\\x=\frac{-4 + 4.899}{-2} \: and \: x=\frac{-4 - 4.899}{-2}\\\\x= -0.4495 \: and \: x = 4.4495 \\\\[/tex]

Therefore, the solutions of the given function are

x = (-0.4495, 4.4495)

A graph of the given function is also attached where you can see that the function crosses the x-axis at these two points.

Answer:

d. The cost of natural gas (y) = $0.83 per unit

Step-by-step explanation:

The explanation is shown below:-

the equation of system is:

750x + 17y = 141.61  (i)        

300x + 30y =75.90 (ii)

as x indicates the cost of electricity and y indicates the costs of natural gas.

we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75

[tex]30\times (750x + 17y) 30\times 141.61\\\\[/tex]

after solve the above equation we will get

22,500x + 510y = 4248.3 (iii)

[tex]75\times (330x + 30y) = 75\times 75.90[/tex]

after solve the above equation we will get

22500x + 2250y = 5692.5 (iv)

After deducting the equation (iii) and (iv) we will get

1740 y = 1444.2

After Dividing by 15 both sides,

116y = 96.28

So, Katrina simplify the above system using linear equation and reach at the equation that is

116 y = 96.28

By Division property of equality defines that divide the equal no. of both sides of an equation:

by  Division of 116 to both sides of an equation, to get y:

[tex]\frac{116y}{116} = \frac{96.28}{116}[/tex]

y = 0.83

So, the natural gas is $0.83 per unit

Answer:

d

Step-by-step explanation:

Answer:

Misty is the more consistent employee

Step-by-step explanation:

The given data are

Misty: 11, 13, 12, 14, 10, 16, 14

Brock: 8, 15, 10, 11, 16, 10, 9

The mean of Misty's successfully answered questions = ∑x/n = 90/7 = 12.86

Misty's data standard deviation = √(∑(x - μ)²/n) = 1.884

The mean of Brock's successfully answered questions = ∑x/n = 79/7 = 11.29

Brock's data  standard deviation = √(∑(x - μ)²/n) = 2.81

Therefore, based on the value of the standard deviation which is a measure of variability, whereby the standard deviation of Brock's number of successfully answered questions is larger than the standard deviation of Misty's number of tech supported successfully answered questions, Misty is the more consistent employee.

Answer:

6510ml

Step-by-step explanation:

1cl = 10ml

651cl = ?

651 × 10 = 6510ml

Answer is 6510ml

Answer:

one ticket is $1.20

Step-by-step explanation:

6 / 5 = 1.2, then check it by multiplying 1.2 x 5. Its easier than you think. Im positive im correct. All you have to do is one but if u want to make sure you can do all of them

Answer:

$1.20

Step-by-step explanation:

If you divide the price of a ticket bundle by the amount of tickets, you get the individual ticket price.

5 tickets for $6.

6/5 = 1.2

10 tickets for $12.

12/10 = 1.2

15 tickets for $18

18/15 = 1.2

Answer:

12√5

Step-by-step explanation:

6√5 + 6√5 = (6 + 6) * √5 = 12 * √5 = 12√5.

Answer:

12 [tex]\sqrt{5}[/tex]

Step-by-step explanation:

When you add the surds which are the same type, (both are root 5), just add the integers before them together.

Answer:

5 < 10x – 3

Step-by-step explanation:

The inequality is 5 - 2x < 8x - 3.

5 < 6x – 3 is incorrect because 8x + 2x = 10x, not 6x.

3x < 8x – 3 is incorrect because 5 - 2x is not 3x, you can't subtract those terms as they are not like terms.

5 < 10x – 3 is correct because 8x + 2x = 10x.

2 – 2x < 8x is incorrect because 5 + 3 = 8, not 2.

Answer:

C on edg

Step-by-step explanation:

Answer:

The maximum area of one square plot is 144 [tex]m^2[/tex]

Step-by-step explanation:

Start by looking at what are the greater common factor of both provided dimensions (840 and 396) to find what the numbers are they both can be divided by evenly:

[tex]840=2^3\,*\,3\,*\.5\,*\,7\\396=2^2\,*\,3^2\,*\,11[/tex]

therefore, both numbers can be divided by [tex]2^2\,*\,3=12[/tex]

Which then gives:

[tex]\frac{840}{12} =70\\\frac{396}{12} =33[/tex]

Then, one can divide the longest side (840 m) into 70 sections of 12 meters each, and the shortest side of the piece of land (396 m) into 33 sections of 12 meters each.

Then we can have a total of 33 * 70 = 2310 smaller lots of 12 m by 12 m

That is smaller plots of a total area 144 square meters

Answer:

b-What is the average number of rainbows each year in Honolulu?

c-How many pedestrians would use a walkway built over a busy road?

d-How many police cars are equipped with computers?

this is the answer

Step-by-step explanation:

E D G E N U I T Y

The situations it is appropriate to use a sample:

B. What is the average number of rainbows each year in Honolulu?

C. How many pedestrians would use a walkway built over a busy road?

D. How many police cars are equipped with computers?

Simple random sampling is a sampling technique in which each member of a population has an equal chance of being chosen, through the use of an unbiased selection method.  The sample is chosen by a random method as every subject in the sample is assigned a number.

Sampling saves money by granting researchers to gather the same answers from a sample that they would receive from the population. Non-random sampling is significantly cheaper than random sampling because it lowers the cost associated with searchinh people and collecting data from them.

Learn more about Sample Techniques here

https://brainly.com/question/24466382

#SPJ2

Answer:

exact form: n=378/13

decimal form: n=29.0769....

mixed number form: n=[tex]29\frac{1}{13}[/tex]

Step-by-step explanation:

Answer:

n = 21

Step-by-step explanation:

[tex]\frac{n}{2}-\frac{3n}{9}+\frac{5n}{9}=21\\\\\frac{9n}{18}-\frac{6n}{18}+\frac{10n}{18}=21\\\\\frac{3n}{18}+\frac{10n}{18}=21\\\\\frac{13n}{18}=21\\\\13n=273\\\\n=21[/tex]

Steps:

1. Write as fractions

2. Make the fractions have the same denominator

3. Collect like terms

4. Collect like terms

5. Multiply both sides by 18

6. Divide both sides by 13.

Answer:

Linear symmetry.

Step-by-step explanation:

The word 'TOOT' can be reflected  in y-axis if a point (0,0) on cartesian plane divides the words' TO' and 'OT' equally.

Answer:

cos(−θ) = -4/5

Step-by-step explanation:

The correct question is as follows;

Let sin(−θ)=−3/5 and tanθ>0. What is the value of cos(−θ)?

Solution as follows

Here in this question, we have that tanθ>0. what this means is that tan is positive here.

Now what do we notice about the value of the sin? For the negative angle to give a negative sin value, what this means is that the value of sin at the particular quadrant is positive, hence we can also conclude that sinθ>0

Now which quadrant do we have both sine and tangent positive? That is only the first quadrant.

Coincidentally, the value of cos here too is positive.

Since we are dealing with the first quadrant, we only need to find the value of theta.

Mathematically;

Sine theta = opposite/hypotenuse

Now ;

Cos theta = adjacent/hypotenuse

So therefore, to find the value of the adjacent , we need to employ the use of Pythagoras’ theorem

Mathematically, the square of the hypotenuse equals the sum of the squares of the adjacent and opposite

According to the values in this question

Adjacent = √(5)^2 -(3^2)

Adjacent = √(16) = 4

Thus ;

cos(−θ) = -4/5

Answer:

x=1

x=-2

Step-by-step explanation:

(3x-3)(x+2)

x=1

x=-2

Answer:

333 cars

Step-by-step explanation:

Assuming among 6 agents, the working efficiency is the same and constant. Fixing number of agents:

    6 agents can sell 333 cars in 3 months.

=> 6 agents can sell 333/3 cars in 3/3 month.

=> 6 agents can sell 111 cars in 1 month.

Fixing number of months:

=> 6/2 agents can sell 111/2 cars in 1 month.

=>  3 agents can sell 111/2 cars in 1 month.

Then considering that 3 agents worked in 6 months:

=> 3 agents can sell 6 x 111/2 cars in 6 x 1 months.

=> 3 agents can sell 333 cars in 6 months.

Answer:

1kg of salami cost $9.1

Step-by-step explanation:

Hailey paid $13 for 1 3/7 kg of sliced salami.

What was the cost per kilogram of salami?

Cost of 1 3/7 kg of sliced salami=$13

1 3/7 kg=10/7kg

Let x=1 kg of sliced salami

10/7 kg of x=$13

$13=10/7x

13=10/7*x

x=13 ÷ 10/7

=13×7/10

=91/10

=9.1

x=$9.1

Therefore, 1kg of salami cost $9.1

do you know where is India

becz I am an Indian

Answer:

2,49/4,10/9

Step-by-step explanation:

[tex]1.\sqrt{4} =2\\2.\sqrt{x} =3+\frac{1}{2} =\frac{7}{2} \\x=\frac{49}{4} \\3.\sqrt{x} =3+\frac{1}{3} =\frac{10}{3} \\x=\frac{100}{9}[/tex]

Answer:

3[tex]a^{4}[/tex] - 48

Step-by-step explanation:

Given

(a + 2)(3a² + 12)(a - 2)

= (a + 2)(a - 2)(3a² + 12) ← expand the first pair of parenthesis using FOIL

=(a² - 4)(3a² + 12) ← expand using FOIL

= 3[tex]a^{4}[/tex] + 12a² - 12a² - 48 ← collect like terms

= 3[tex]a^{4}[/tex] - 48

Answer:

3. 8.60 units

Step-by-step explanation:

Distance from point M(-2, 4) to point N(5, -1) can be calculated using the distance formula, [tex]d = \sqrt{(x_{2} - x_1)^2 + (y_2 - y_1)^2}[/tex]

M(-2, 4) => (x1, y1)

N(5, -1) => (x2, y2)

Plug in the values into the formula

[tex] d = \sqrt{(5 - (-2))^2 + (-1 - 4)^2} [/tex]

[tex] d = \sqrt{(7)^2 + (-5)^2} [/tex]

[tex] d = \sqrt{49 + 25} [/tex]

[tex] d = \sqrt{74} [/tex]

[tex] d = 8.60 units [/tex]

Answer:

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

slope equation

Answer:

D

Step-by-step explanation:

You know that you have to find y, so eliminate choice B. She reads 30 per day, which is c, so you will have 30x. She also read 15 pages separately, so the 15 will be added on separately. With this, you get y = 30x + 15.

Answer:

D.

Step-by-step explanation:

Since she already read 15 pages in the bookstore, those 15 pages are constant since she cannot unread those pages. Those pages are the y-intercept of the equation.

Gwen is reading 30 pages per day, so her slope will be 30.

D. y = 30x + 15 will be her equation.

Hope this helps!

Answer:

  (A) see the attachments

Step-by-step explanation:

The graph is constant from x=2 to x=10. This eliminates all descriptions except A, which is the correct one.

Answer:

200 teachers

Step-by-step explanation:

If 25% is a fourth of the teacher staff, and this value is fifty, to find out how many teachers there are you just have to multiply by 4 to find out the 100%. So this means that 50*4= 200

Answer:

Total teachers = 200

Step-by-step explanation:

Let x be the total teachers in school

Basic Maths teachers = 25 % of x

Basic Maths Teachers = 50

=> 25% of x = 50

=> [tex]\frac{25}{100} x = 50[/tex]

=> [tex]\frac{x}{4} = 50[/tex]

Multiplying both sides by 4

=> x = 200

Answer:

D. so you don't confuse properties of the model with properties of the real thing.

2-Mathematical and computer models are similar because both involve using calculation to represent an object or system

3- Some models can illustrate a system. What does the term system refer to

A. a collection of interacting things

4-J.J. Thomson's Plum Pudding Model is an example of _____B. an analogy

5. An advantage of describing a cell as being like a factory is that it _____

A. makes cells easier to understand

6- C. cheaper and more complex

7-C. clearly explained where electrons were located in an atom

8-C. a physical model

9-B. can be easier to change

GOOD LUCK

I'll be using the following properties about exponents:

[tex]a^b \times a^c=a^{b+c}[/tex]

[tex]a^b \div a^c=a^{b-c}[/tex]

[tex](a^b)^c=a^{bc}[/tex]

where a, b, and c are some positive integers

Part a:

[tex]8^5 \times 8^4 = 8^{5+4}=8^9[/tex]

Part b:

[tex]3^{11} \times 3 = 3^{11} \times 3^{1} = 3^{11+1} = 3^{12}[/tex]

Part c:

[tex]9^3 \times 9^7 = 9^{3+7}=9^{10}[/tex]

Part d:

[tex]7^7 \div 7 = 7^7 \div 7^1 = 7^{7-1}=7^6[/tex]

Part e:

[tex]12^{10} \div 12^5 = 12^{10-5}=12^5[/tex]

Part f:

[tex](6^3)^6 = 6^{6 \times 3} = 6^{18}[/tex]

These should be all the answers. Let me know if you need any clarifications, thanks!

Answer:

Step-by-step explanation:

To find x we use cosine

That's

cos ∅ = adjacent / hypotenuse

From the question

The adjacent is x

The hypotenuse is 28

So we have

cos 43 = x / 28

x = 28 cos 43

x = 20.477

x = 20 to the nearest tenth

Hope this helps you