solve the equation for t

Answer:

The answer is

[tex] {16}^{2} [/tex]

Answer:

1. $66

2. 30 + 4r

Step-by-step explanation:

Let

Price of admission into the park=$30

Price of every ride in the park=$4

Number of rides =x

Total cost of going to the park= 30+4x

1. How much money would Claire have to pay in total if she goes on 9 rides

Total cost of going to the park= 30+4x

When x=9

=30+4x

= 30 + 4(9)

=30 + 36

=$66

2. How much would she have to pay if she goes on r rides?

When x=r

Total cost of going to the park= 30+4x

= 30 + 4(r)

=30 + 4r

Answer:

Cost for 9 rides=$66, Cost for r rides=30+4r

Step-by-step explanation:

Cost for 9 rides: 30+4(9)=66

Cost for r rides: 30+4r

Answer:

C.

Step-by-step explanation:

Will end up being 0 since it is the final number in the equation and goes along with PEMDAS sequence.

Answer:

(3,5)

∧

this is x number

Step-by-step explanation:

the x number is left and right movement. if you move 3 units left you would subtract 3 from the x number. so 6-3=3 and you don't have to do anything on the y value because you don't move it.

Answer:

(3,5)

Step-by-step explanation:

When using graphs:

X-axis:

Y-axis:

When writing points on a graph, it should be (X,Y)

So (6,5) all you have to do is subtract 3 from 6(6-3=3) so your final answer should be (3,5)

Hopefully this helps :)

Answer:

Answer Choice A: -1.8

Step-by-step explanation:

That's the closest to a middle value between -3.8 and 0 on the number line of the answer choices given.

Answer:

33°

Step-by-step explanation:

A right triangle is formed based on the information given.

Use trigonometric ratio formula to find the number of degrees of the angle indicated with "?".

Let the angle = x°

162.5 yds is opposite to x°

298 yds is the hypotenuse of the right triangle formed.

Therefore, [tex] sin(x) = \frac{opposite}{hypotenuse} [/tex]

[tex] sin(x) = \frac{162.5}{298} [/tex]

[tex] sin(x) = 0.5453 [/tex]

[tex] x = sin^{-1}(0.5453) [/tex]

[tex] x = 0.5453 [/tex]

[tex] x = 33.0 [/tex]

Answer:

(x - 3)(x - 2)(x + 2)

Step-by-step explanation:

Given

x³ - 3x² - 4x + 12 ( factor the first/second and third/fourth terms )

= x²(x - 3) - 4(x - 3) ← factor out (x - 3) from each term

= (x - 3)(x² - 4) ← x² - 4 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x² - 4

= x² - 2²

= (x - 2)(x + 2)

Thus

x³ - 3x² - 4x + 12 = (x - 3)(x - 2)(x + 2) ← in factored form

Answer:

(x - 2)(x - 3)(x + 2).

Step-by-step explanation:

The Factor Theorem states that if x - a is a factor of f(x) the f(a) = 0.

f(x) = x^3 - 3x^2 - 4x + 12​

We try the factors of 12:

f(2) =  2^3 - 3*4 - 8 +12

= 8 - 12 - 8 + 12  = 0

- so (x - 2) is a factor of f(x)

Dividing:

        x^2  -  x -  6            <-----------Quotient

       -----------------------------

x - 2 )x^3 - 3x^2 - 4x + 12​

        x^3 - 2x^2

                  -x^2 - 4x

                  -x^2 + 2x

                          -6x + 12

                          -6x + 12

So we factor x^2 - x - 6:

= (x - 3)(x + 2)

Answer:

You're looking for the graph [tex]y=2x[/tex]

Step-by-step explanation:

If Estelle is raking in leaves at a constant rate, which we usually assume for cases like this, we're looking for a function of the form

[tex]y=kx+m[/tex]

x here is going to be the number of hours, or time.

y is going to be the number of bags she has raked in.

First of all, we know that at time 0, she hasn't raked in any leaves. So when x is 0, we know y is 0. Let's put these values in our function.

[tex]0 = k * 0 + m[/tex]

[tex]0 = 0 + m[/tex]

[tex]m = 0[/tex]

We now know m is 0.

We also know that after 1 hour, Estelle has 2 bags of leaves. So when x is 1, y will be 2. Let's put these values in.

[tex]2 = k*1[/tex]

We're excluding m as we know it's 0.

[tex]k=2[/tex]

So k is 2, and m is 0. Let's put these values in our original function [tex]y=kx+m[/tex]:

[tex]y = 2x + 0[/tex]

[tex]y=2x[/tex]

The equation is y=2x.

Putting this into a graphing calculator, we get this graph (attached).

Answer:

-48

Step-by-step explanation:

Plug x and y in to the expression,

-4(5) + (7)(-4) = -20 - 28 = -48

Answer:

The intersect of typing and accounting ( T ∩ A ).

Step-by-step explanation:

if 200 student study typing;

200 study accounting;

the set rule pictures this as;

       typing( T ) = { 200 typing student }

       accounting ( A )= { 200 accounting student }

To get the number of students enrolled for both courses;

  We intersect the typing and accounting sets values.

  that is;  

               students enrolled for both courses = T ∩ A

Answer:

EQUATION IS GIVEN BELOW.

Step-by-step explanation:

let the number be 'x'

now,

x+12 =36

or, x=36-12

therefore,x=24

Answer:

its the third one. just multiply every number by 1.5 not that hard

Step-by-step explanation:

Answer:

350 sq ft

Step-by-step explanation:

Given that:

840 sq ft area has a bedroom, kitchen and bathroom.

Let the area of bedroom be [tex]x[/tex] sq ft.

Then the area of kitchen will also be [tex]x[/tex] sq ft.

Let the area of bathroom be [tex]y[/tex] sq ft.

As per question statement:

[tex]x+y+x=840\\\Rightarrow 2x+y=840 ...... (1)[/tex]

Tiles ordered to cover two kitchens and two bathrooms is 980 sq ft.

i.e.

[tex]2x+2y=980 ..... (2)[/tex]

Subtracting equation (1) from (2):

i.e. (2) - (1):

[tex]y = 140[/tex] sq ft

Putting the value of [tex]y[/tex] in (1):

[tex]2x+140=840\\\Rightarrow 2x =700\\\Rightarrow \bold{x=350\ sq\ ft}[/tex]

Therefore, the carpet needed for each bedroom = 350 sq ft

Answer:

x = 1/2 thus Line 3 is false

Step-by-step explanation:

Solve for x:

10 - 2 x = 14 x + 2

Hint: | Move terms with x to the left hand side.

Subtract 14 x from both sides:

10 + (-2 x - 14 x) = (14 x - 14 x) + 2

Hint: | Combine like terms in -2 x - 14 x.

-2 x - 14 x = -16 x:

-16 x + 10 = (14 x - 14 x) + 2

Hint: | Look for the difference of two identical terms.

14 x - 14 x = 0:

10 - 16 x = 2

Hint: | Isolate terms with x to the left hand side.

Subtract 10 from both sides:

(10 - 10) - 16 x = 2 - 10

Hint: | Look for the difference of two identical terms.

10 - 10 = 0:

-16 x = 2 - 10

Hint: | Evaluate 2 - 10.

2 - 10 = -8:

-16 x = -8

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -16 x = -8 by -16:

(-16 x)/(-16) = (-8)/(-16)

Hint: | Any nonzero number divided by itself is one.

(-16)/(-16) = 1:

x = (-8)/(-16)

Hint: | Reduce (-8)/(-16) to lowest terms. Start by finding the GCD of -8 and -16.

The gcd of -8 and -16 is -8, so (-8)/(-16) = (-8×1)/(-8×2) = (-8)/(-8)×1/2 = 1/2:

Answer: x = 1/2

Each point is of the form (x,y). We replace x with some number to get a paired y value.

For instance, if x = 1, then,

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-1}\\\\y = \sqrt{4}\\\\y = 2[/tex]

Meaning x = 1 and y = 2 pair up. The point (x,y) = (1,2) is on the curve.

Then let's try x = 4

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-4}\\\\y = \sqrt{1}\\\\y = 1[/tex]

Showing (4,1) is also on the curve.

The point (5,0) is also on the curve too because of the steps below

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-5}\\\\y = \sqrt{0}\\\\y = 0[/tex]

We can't go any higher than x = 5 or else the expression 5-x will be negative. Eg: if x = 7, then 5-x = 5-7 = -2. We cannot take the square root of a negative and get some real number output.

So let's go in the opposite direction. Let's try x = -4

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-(-4)}\\\\y=\sqrt{5+4}\\\\y = \sqrt{9}\\\\y = 3[/tex]

Showing (-4,3) is also on the curve.

The x values I'm picking are such that the y value is an integer. For the majority of the x values, you'll get some decimal value which is a bit tricky to graph on paper. So effectively you'll have to use trial and error to find the right x values to pick. The goal is to get the stuff under the square root to simplify to some perfect square (0,1,4,9,...etc)

After generating enough points, you draw a curve through them all. The more points, the more accurate the graph.

Answer: Choice A)

Approximately 0.4 units or about 24 miles approximately

=========================================================

Explanation:

B = Santa Barbara's location

C = Santa Cruz Island's location

Point B is located at (34.4, 119.714)

Point C is located at (34, 119.726)

Use the distance formula to find the distance from B to C

[tex]d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2}\\\\d = \sqrt{ (34.4-34)^2 + (119.714-119.726)^2}\\\\d = \sqrt{0.160144 }\\\\d \approx 0.40017995951821\\\\d \approx 0.4\\\\[/tex]

Unfortunately, there isn't enough info to be able to go from 0.4 units to roughly 24 miles, so I don't know how your teacher is doing that step. But luckily, only choice A mentions 0.4, so this has to be the answer.

Answer:

P[ x >= 5 ]  = 0,005487  

Step-by-step explanation:

The possibility of the student to answer correctly one question is 1/3

We have three answers and only one is right.

The possibility of answer at least 5 right question is:

Possibility of answer 6 question plus the possibility of answer 5 questions

The possibility of answering at least 5 answers are correct is:

To answer 2 questions  1/3*1/3   =  1/9

To answer three    1/3*1/3*1/3   =  1/ 27

To answer 5   is  1/3*1/3*1/3*1/3*1/3   =  1/243

And to answer all the question right is (6) is  1/729

Therefore probability of answer at least 5 right questions is

P[ x >= 5 ]  = P [5] + P [6]

P[ x >= 5 ]  =  1/ 243  + 1/729

P[ x >= 5 ]  = 972/ 177147

P[ x >= 5 ]  = 0,005487            

Answer:

C. 4x = 12

Step-by-step explanation:

You and three friends= you + 3 friends=4 people

Pizza= 12 pieces

Each person eats equal pieces of pizza

x= number of pieces each person ate

Equation

4x=12

Divide both sides by 4

x=12/4

=3

x=3

Therefore, each person ate 3 pieces of pizza each

Check:

4x=12

4(3)=12

12=12

Answer:

width = 8 inches

length = 10 inches

Step-by-step explanation:

width= 12/1.5

= 8

length = 15/1.5

= 10

Answer:

2x +5y -20

Step-by-step explanation:

-x - 3y - 20 + 3x + 8y

Combine like terms

-x+ 3x  - 3y+ 8y - 20

2x +5y -20

Answer:

2x + 5y - 20

Step-by-step explanation:

-x + 3x = 2x

-3y + 8y = 5y

Answer:

The pairs ( 1 , 2 ) and ( 2 , 1 ) are not equal because their respective elements are not equal.

Step-by-step explanation:

The pair of elements which are in specific order is called an ordered pair. The pair ( 1 , 2 ) is not same as the pair ( 2 , 1 ). In the pair ( 1 , 2 ) 1 is in the first position and 2 is in the second position. In the pair ( 2 , 1 ), 2 is in the first position and 1 is in the second position.

Two ordered pairs ( a , b ) and (c , d ) are said to be equal if a = c and b = d. We write ( a , b ) = ( c , d ).

Hope I helped!

Best regards!!

Learn more:

brainly.in/question/20738422

Answer:

Step-by-step explanation:

Formula to use to get the speed is expressed as speed = Distance/Time

Given parameters

Distance = 94km

Time = 7.5weeks

Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.

For the distance:

Given the conversion

1 km = 3280.84 feet

95km = (95*3280.84)feet

95km = 311,679.8 feet

For the time:

If 1 week = 7 days

7.5weeks = (7.5 * 7)

7.5weeks = 52.5 days

Speed In ft/day =  311,679.8 feet/ 52.5 days

Speed in ft/day = 5,936.76 feet/day

Hence the speed in feet per day is  5,936.76 feet/day

Answer:

the answer is 567

Step-by-step explanation:

20+30(11)+5+2(106)

20+330+5+212

= 567

Responda :

R $ 10.530

Explicação passo a passo:

Investimento inicial = R $ 5.000

Apreciação no primeiro ano = 35%

Apreciação no segundo ano = 20% em relação ao primeiro ano

Valorização no terceiro ano = 30% em relação ao segundo ano

Se o investimento se valorizar em 35% no primeiro ano:

35% do investimento: 0,35 × R $ 5.000 = R $ 1.750

Total após o primeiro ano = R $ (5.000 + 1.750) = R $ 6.750

2º ano:

Valorização de 20% em relação ao primeiro ano:

20% de 6750 = 0,20 * 6750 = R $ 1.350

Total = (6.750 + 1.350) = R $ 8.100

3 º ano:

Valorização de 30% em relação ao segundo ano:

30% de 8100 = 0,30 * 8100 = R $ 2.430

Total = (8.100 + 2.430) = R $ 10.530

No final do terceiro ano:

R $ 10.530

Answer:

[tex]\Huge \boxed{\mathrm{3.91 \ cm}}[/tex]

Step-by-step explanation:

The triangle BDE is a right triangle.

Line segment DE = 2.5 cm

Line segment BE = 3 cm

We can apply Pythagorean theorem to solve for the diameter of the pipe or the hypotenuse of the right triangle BDE.

[tex]c=\sqrt{2.5^2 +3^2 }[/tex]

[tex]c=\sqrt{15.25} = 3.90512483795...[/tex]

We can round up the length to nearest hundredth.

[tex]3.90512483795 \approx 3.91[/tex]

The diameter of the pipe is 3.91 cm.

The smallest diameter of pipe that will fit the fiber optic line is 3.91 cm if the company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 2.5 cm and segment BE = 3 cm option (B) is correct.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

We have:

A company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 2.5 cm and segment BE = 3 cm.

As we know, the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides is known as the Pythagoras theorem.

Applying Pythagoras theorem in the triangle DEB:

DE² + BE² = DB²

2.5² + 3² = DB²

DB² = 6.25 + 9

DB² = 15.25

DB = 3.905 ≈ 3.91 cm

Thus, the smallest diameter of pipe that will fit the fiber optic line is 3.91 cm if the company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 2.5 cm and segment BE = 3 cm option (B) is correct.

Learn more about the rectangle here:

https://brainly.com/question/15019502

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Answer:

Plant B

Step-by-step explanation:

The only measure of variation we really need to check is the mean, or average, of tomatoes that each plant produced. This is because if Kathryn was a farmer, she would want a plant that on average, produces more tomatoes. For that reason, in this context, the mode, median and range are irrelevant. To find the mean of a data set, you simply divide the sum of all of the data by the number of data in the set. Therefore:

Mean of Plant A: (4 + 6 + 7 + 3 + 6 + 2 + 1 + 3 + 6 + 5) / 10 = 43 / 10 = 4.3

Mean of Plant B: (5 + 6 + 7 + 6 + 8 + 9 + 6 + 7 + 8 + 9) / 10 = 71 / 10 = 7.1

As you can see, the mean tomatoes Plant B produces is larger than that of Plant A, therefore, Kathryn should choose Plant B if she was a farmer.

Answer:

Please who knows the full question to this problem am unable to see the full question.....

Volume varies 1/P.

V=K/P.

21=K/1.

K=21.

The relation is V=21/P.

....if P=0.7 and K=21.

and the relation to solve the question is V=21/P then put the value of P in the formula which will be...

V=21/0.7.

V=30m^3.

This is my answer..i hope it helps

Answer:

C(h) = 50h + 25

$425

Step-by-step explanation:

Et the plumber works for h hours.

Cost of one hour = $50

Therefore, cost of h hours = $50h

Total cost = cost of h hours + plumber service call charge

C(h) = 50h + 25 (required equation)

Plug h = 8

C(8) = 50* 8 + 25 = 400 + 25 = $425

Part (i)

Plug in theta = pi/3 to get

h(theta) = sin(3theta)

h(pi/3) = sin(3*pi/3)

h(pi/3) = sin(pi)

h(pi/3) = 0 ... use a calculator or the unit circle

=================================================

Part (ii)

Plug in h = pi/2

h(theta) = sin(3theta)

h(pi/2) = sin(3pi/2)

h(pi/2) = -1