PLEASE HELP!!!!!!!!!!!!

Answer:

[tex]y=\frac{4}{5}x[/tex]

Step-by-step explanation:

Equations in the given options are linear, so the table given represent a linear function.

Let the equation of the linear function is,

y = mx + b

Since this equation passes through (0, 0),

0 = m(0) + b

b = 0

Therefore, equation of the line will be,

y = mx

Slope of the line passing through (10, 8) and (5, 4),

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{8-4}{10-5}[/tex]

   = [tex]\frac{4}{5}[/tex]

Therefore, equation of the line will be,

[tex]y=\frac{4}{5}x[/tex]

Option (2) will be the answer.

Answer:

5

Step-by-step explanation:

0 is 10ths 5 is 100ths

Answer:

[tex]\Huge \boxed{\mathrm{55}}[/tex]

Step-by-step explanation:

[tex]-7x + 6[/tex]

Put x as -7 and evaluate the expression.

[tex]-7(-7)+6 \\\\\\ 49+6 \\\\\\ 55[/tex]

Answer:

33 2/6 miles

Step-by-step explanation:

So we know that every 6 inches equals 8 miles. To find one mile, we would divide both sides by 8, so every 6/8 of an inch is 1 mile. if the two cities are 25 in apart on a map, that means that we can first do 6*4:8*4 for the ease of it to get 24 inches and 32 miles. So so far it's already 32 miles. Then we have to calculate the leftover one inch. To find out how many miles one inch is, we can divide both sides by 6, so one inch=8/6 of a mile.

So then we add 32+8/6=33 2/6

Tell me if that works for you

Answer:

the value of theta i 45°

Answer:

-7, -8, -9, -10

Step-by-step explanation:

Is this actually the whole problem? If so, the answer is anything less than -6. z < -6 includes all the numbers less than -6, so that would include -7, -8, -1000, -6.000001, etc.; you get what I mean. This would NOT include -6, though, because z is less than, not equal to, -6.

You can visualize it on a number line. If every value that could possibly equal z had a dot on it, you would see an infinite number of dots starting from -6 and going left to infinity. Like: <-------------o, if o was -6.

Please mark as Brainliest! :)

Answer:

yes every natural number is integer

because intezer is collection of positive and negative numbers....

Answer:

Step-by-step explanation:

Hello friend!!!

It's TRUE

Natural numbers are the range of numbers from 1 to infinite.

Integers are made up of positive as well as negative numbers.

Since natural numbers are positive numbers, they are also integers.

Hope this helps

plz mark as brainliest!!!!!

Answer:

x = 3 or x = -3

Step-by-step explanation:

Solve for x over the real numbers:

2 x (x + 3) - 6 (x + 3) = 0

Expand out terms of the left hand side:

2 x^2 - 18 = 0

2 x^2 - 18 = 2 (x^2 - 9):

2 (x^2 - 9) = 0

Divide both sides by 2:

x^2 - 9 = 0

x = (0 ± sqrt(0^2 - 4 (-9)))/2 = ( ± sqrt(36))/2:

x = sqrt(36)/2 or x = (-sqrt(36))/2

sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:

x = 6/2 or x = (-6)/2

6/2 = 3:

x = 3 or x = (-6)/2

(-6)/2 = -3:

Answer: x = 3 or x = -3

Answer:

Step-by-step explanation:

Given the step 3 and 4 of the solution Step 3: -6x − 8 < -2 Step 4: -6x < 6

From step 3;

-6x − 8 < -2

Michael got the step 4 by adding 8 to both sides of the inequality as shown;

-6x − 8 + 8 < -2 + 8

-6x < 6 (Step 4)

Since Michael added 8 to both sides of the inequality, the property that justifies the transition from step 3 to step 4 is the addition property of inequality. Addition property is the property that adds an integer to both sides of an inequality without altering the inequality sign and also retaining the inequality equation.

Answer:

You would buy the DVD at Discount DVD.

Step-by-step explanation:

To decide where to buy the DVD, you have to determine the price at each store after the discount is applied.

-Discount DVD: $29.90*0.2=$5.98

$29.90-$5.98=$23.92

-Value Video: $28.60*0.15=$4.29

$28.60-$4.29=$24.31

According to this, you would buy the DVD at Discount DVD because it is where you will get the lower price.

Answer and Step-by-step explanation:

There are three reciprocal trigonometric functions

making a total of six including cosine, sine, and tangent.

→The reciprocal cosine function is secant: sec(Ф)=1/cos(Ф).

→The reciprocal sine function is cosecant, csc(Ф)=1/sin(Ф).

→The reciprocal tangent function is cotangent, expressed two ways: cot(Ф)=1/tan(Ф) or cot(Ф)=cos(Ф)/sin(Ф).

We've already learned the basic trig ratios:

sin(A) = a/c

cos(B) = b/c

tan(C) = a/b

But there are three more ratios to think about:

→Instead of  a/c, we can consider c/a  

​→Instead of  b/c, we can consider c/b  

→Instead of  a/b, we can consider b/a  

These new ratios are the reciprocal trigonometric ratios, and we’re about to learn their names.

The cosecant (csc)

The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

sin(A) = opp / hyp  = a/c

csc(A) = hyp / opp = c/a

The secant (sec)

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

cos(A) = adj/hyp = b/c

sec(A) = hyp/adj = c/b  

The cotangent (cot)

The cotangent is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.

tan(A) = opp/adj = a/b

cot(A) =adj/opp = b/c

Answer:

none

Step-by-step explanation:

Answer:

It does not have any solution because 3 is not equal to 8

Answer:

D) x-3

Step-by-step explanation:

(4x+1)-(3x-4)=

4x-3x+1-4=

x-3

Answer:

5 thirteenth ti the nearest tenth Is .6

Answer:

0.4

Step-by-step explanation:

First make it a decimal:

5/13 (divide)

0.38 (round)

So you get 0.4

Antarctica , I think

Step-by-step explanation:

Answer:

[tex]Domain = \{9, 10, 11, 12\}[/tex]

[tex]Range = \{22, 32, 41, 30\}[/tex]

Step-by-step explanation:

Given

Grade 9: 22

Grade 10: 32

Grade 11: 41

Grade 12: 30

Required

Determine the domain and the range

The domain and range of a function is represented as thus (x,y)

From the given parameters;

[tex](x,y) = (Grade\ 9, 22), (Grade\ 10, 32) (Grade\ 11, 41), (Grade\ 12, 30)[/tex]

Remove "Grade" to represent as only digits

[tex](x,y) = (9, 22), (10, 32), (11, 41), (12, 30)[/tex]

Split to x and y values:

Where x = domain and y = range

[tex]Domain = \{9, 10, 11, 12\}[/tex]

[tex]Range = \{22, 32, 41, 30\}[/tex]

So, from the list of given options; option C answers the question.

Answer:

7a) 5/8 cup

7b) 4  3/8 cup

Step-by-step explanation:

a) Divide 1 1/4 by 2:

Do this by putting the 1 into the fraction and then convert to 8th

1 1/4 = 5/4 = 10/8

(10/8)/2 = 5/8

b) 3 1/2 * 1 1/4 = 7/2 * 5/4 = 7*5/(2*4) = 35/8 = 4 3/8

Answer:

The ratio of milk cartons drunk to total milk cartons put out= 3 : 5

Step-by-step explanation:

Total milk cartons put out for breakfast=100

Milk cartons left after breakfast=40

Total milk cartons drunk during breakfast = Total milk cartons put out for breakfast - Milk cartons left after breakfast

=100 - 40

=60

Total milk cartons drunk during breakfast = 60

What is the ratio of milk cartons drunk to total milk cartons put out?

Total milk cartons drunk during breakfast : Total milk cartons put out for breakfast

= 60 : 100

=3 : 5

The ratio of milk cartons drunk to total milk cartons put out= 3 : 5

Answer:

PT = 22

Step-by-step explanation:

Given that T is the midpoint of PQ, then

PT = TQ , substitute values

5x + 2 = 7x - 6 ( subtract 5x from both sides )

2 = 2x - 6 ( add 6 to both sides )

8 = 2x ( divide both sides by 2 )

4 = x

Thus

PT = 5x + 2 = 5(4) + 2 = 20 + 2 = 22

Answer:

X = 13

Step-by-step explanation:

42 - X = 29

Subtract 42 from each side

42-42 - X = 29-42

-X = -13

Multiply each side by -1

X = 13

Newton's Law of Cooling:

[tex]T(t)=T_{s}+(T_{o}-T_{s})e^{-kt}[/tex]

[tex]T(t) =[/tex] Temperature given at a time

[tex]t =[/tex] Time

[tex]T_{s} =[/tex] Surrounding temperature

[tex]T_{o}=[/tex] Initial temperature

[tex]e =[/tex] Constant (Euler's number) ≈ 2.72

[tex]k =[/tex] Constant

Using this information, find the value of [tex]k[/tex], to the nearest thousandth, then use the resulting equation to determine the temperature of the water cup after 4 minutes.

First, plug in the given values in the equation and solve for [tex]k[/tex]:

[tex]T(t) =[/tex] 197°, [tex]t =[/tex] 1.5 minutes, [tex]T_{s} =[/tex] 70° and [tex]T_{o}=[/tex] 210°  

[tex]T(t)=T_{s}+(T_{o}-T_{s})e^{-kt}\\197=70+(210-70)e^{-1.5k} \\197 -70 = (140)e^{-1.5k} \\127 =(140)e^{-1.5k}\\\frac{127}{140}=e^{-1.5k} \\ln(\frac{127}{140})=-1.5k\\-0.097=-1.5k\\0.0649 = k[/tex]

[tex]k[/tex] ≈ [tex]0.065[/tex]

Let the temperature of the water cup after [tex]t = 4[/tex] minutes be [tex]T(t) = x[/tex]

Now, let's plug the new time and [tex]k[/tex] constant in the equation and solve for [tex]x[/tex]:

[tex]T(t)=T_{s}+(T_{o}-T_{s})e^{-kt}\\\\\x=70+(210-70})e^{-0.065*4}\\\\x=70+(140})e^{-0.26}, -0.26=-\frac{26}{100}=-\frac{13}{50} \\[/tex]

[tex]x=70+(140})e^{-\frac{13}{50}}\\\\[/tex]

[tex]x=70+(140})e^{\frac{1}{\frac{13}{50}}\\\\\\[/tex]

[tex]x=70+e^{\frac{140}{\frac{13}{50}}\\\\\\[/tex]

[tex]x=70+{\frac{140}{\sqrt[50]{e^{13}}}\\[/tex]

[tex]x = 70 +\frac{140}{1.3} \\x=70+107.947\\[/tex]

[tex]x=177.95[/tex] ≈ [tex]178[/tex]

Temperature of water after 4 minutes is 178°

sorry if there's any misspelling or wrong step but I hope my answer is correct ':3

Answer:

The roots are

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

Separate the real and imaginary parts

That's

We have the final answer as

Hope this helps you

Answer:

[tex]\Huge \boxed{x=6}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex](2^{2x +2}) (2^{3x -7})= 2^{25}[/tex]

When multiplying same bases, add the exponents.

[tex](2^{2x +2+3x -7})= 2^{25}[/tex]

[tex](2^{5x -5})= 2^{25}[/tex]

Cancelling the same bases from both sides.

[tex]5x-5=25[/tex]

Adding 5 to both sides.

[tex]5x=30[/tex]

Dividing both sides by 5.

[tex]x=6[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

no, it will always be the same size and image just in a different placement.

Step-by-step explanation:

No, a translation, a reflection, or a rotation of a figure never results in an image with a different size or shape.

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

Hence, a translation, a reflection, or a rotation of a figure never results in an image with a different size or shape.

To know more about translation follow

https://brainly.com/question/12861087

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Answer:

Expand the left side, group like terms on both sides, and get

(2a)x + 3a = 10x + 15

To be true for all x, equate like terms from both sides and get

2a = 10

3a = 15

Solution: a = 5

You can test the answer.

Step-by-step explanation:

Expand the left side, group like terms on both sides, and get

(2a)x + 3a = 10x + 15

To be true for all x, equate like terms from both sides and get

2a = 10

3a = 15

Solution: a = 5

You can test the answer.

Answer:

u = [tex]\frac{r}{w+q}[/tex]

Step-by-step explanation:

Given

uw + uq = r ← factor out u from each term on the left side

u(w + q) = r ← divide both sides by (w + q)

u = [tex]\frac{r}{w+q}[/tex]

The equation uw + uq = r is solved for u will be written as u = r / (w + q).

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

uw + uq = r

Simplify the equation for u, then the equation will be written as,

uw + uq = r

u(w + q) = r

u = r / (w + q)

The equation uw + uq = r is solved for u will be written as u = r / (w + q).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer:

Well make sure your answer is correct. If it’s correct extend your graph.

Step-by-step explanation: