4. Find the value of x.*60°,150°3x°Ox= 20O х = 30Ox= 60

Answer:

The Sacheverell Theorem of Mathematics is the answer to your question. I got this answer by using the Vasagle formula and distributing throughout the parenthesis. This can benefit future civilizations because it's an undiscovered new species in the winoculous alternate universe.

Step-by-step explanation:

I am from the year 2420 so I know. Do not doubt me.

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

The table of values for the function y = -4x.

The table is attached below-

Hence, the values for the function is giiven below

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The value of sin Y is 4/5. The correct option is B) 4/5

From the question, we are to determine the value of sin Y.

From the given information, we have that

sin X = 3/5

and

cos X = 4/5

Also,

We have that angle X and angle Y are complementary angles.

That is,

X + Y = 90°

From the Trigonometric ratios of complementary angles, we have that

sin Y = cos (90° - Y)

From X + Y = 90°

X = 90° - Y

Therefore,

sin Y = cos X

From the given information,

cos X = 4/5

Hence, sin Y = 4/5

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As given by the question

There are given that the total number of boys is 8 and total numbers of girls is 6.

Now,

Since there are two competitions, one for boys and one for girls and we want all the possible results we will calculate the possible combination for the boys and multiply them by the possible combination for the girls.

Then,

For the boys:

Then,

Now,

For the girl:

Then,

Now,

A total number of possible results:

Hence, the ways are 40320.

Given an expression of (-6x +6) and (-3x - 7)

Hence the solution to the above expression is

Step-by-step explanation:

1 ft = 12 in

he is 3 ft 1 in, that is then 3×12 + 1 = 37 in tall.

so,

37 + x >= 42

and then

x >= 42 - 37

x >= 5 in

Answer:

(-9√-63)(-√-49)= (9/3)

Step-by-step explanation:

Answer:

d. y+3=3(x-4)

Step-by-step explanation:

graphing both points you see a slope of 3. If you continue to follow the slope of 3, you will find the y-intercept is -15.

y+3=3(x-4)

y+3=3x-12

y+3(-3)=3x-12(-3)

y=3x-15 (slope intercept form)

Solution

We want to solve

Answer:

If it is parallel:m parallel line=m line given, so:

mparallel=3/4

And it passes through one point given, so we use the formula: y-y0=m(x-x0)

so: y-36=3/4(x+12)

y=3/4x+9+36

y=3/4x+45 is the correct answer.

Answer:

You need 21 ounces of cheese for 3 pizzas.

Step-by-step explanation:

If you use 14oz for 2 pizzas, then if you divide it by 2, you have 7oz for 1 pizza.

Now multiply by 3 to get 21oz for 3 pizzas.

Given that:

- The product of the ages (in days) of babies Simran and Jessie in two days

will be 48 more than the product of their ages today.

- Jessie is 2 days older than Simran.

Let be "j" Jessie's age (in days) and "s" Simran's age (in days).

You can set up the following System of Equations using the data given in the exercise:

You can use the Substitution Method to solve the system:

1. Substitute the second equation into the first one:

2. Solve for "s":

3. Substitute "s" into the second original equation and evaluate:

Hence, the answer is: Jessie is 12 days old and Simran is 10 days old.

Given:

The given inequalities are:

Solving first inequality, we get:

Solving the second inequality, we get:

Merging the solutions of both inequalities, we get:

So, the graph will be a number line with an open circle at 2 and a closed circle on 6 and shading in between.

Therefore,

Option A is correct.

Answer:

3.5

Step-by-step explanation:

rate of change=

change in x

change in y

​

=

20

438

​

=21.9

y=18.4x

Tanisha−Zoey=

\,\,21.9-18.4

21.9−18.4

=

=

3.5

3.5

Answer:

Yes, an absolute value can never be false. So, the answer is true.

The probability that a customer purchased popcorn, given that they purchased from stand B is 13.4%.

For the given question;

The data for the selling of the snack items at arena are given;

Snack Item    Hot Dogs  Nachos Popcorn Total Concession

Stand A          125            65          40           230

Stand B          218            119          52           389

Stand C          65             52          13             130

Total              408           236        105           749

Now the customer purchased the popcorn from stand B.

Thus, total number of snack at stand B = 389

Total number of popcorn at stand B = 52

Thus,

Probability = favourable outcome/total outcome

Probability = 52/386

Probability % = 52/386 × 100

Probability % = 13.4%.

Thus, the probability that a customer purchased popcorn, given that they purchased from stand B is 13.4%.

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The inverse of the function is [tex]f^-1 = \frac{1}{4}x + 2[/tex] .

What is inverse of the function ?

   A function that "undoes" another function is known as an inverse in mathematics. To put it another way, if f(x) produces y, then y will produce x when y is fed into f's inverse function. A function f is said to be invertible if it has an inverse, and the inverse is represented by the symbol [tex]f^-1[/tex]

Here the given function is,

=> f(x) = 2(x-3)2+4

=> f(x) = 4(x-3)+4

=> f(x) = 4x-12+4

=> f(x) = 4x -8

Now take y= f(x) then,

=> y = f(x)=4x-8

=> y = 4x-8

Now  interchange x and y then,

=> x = 4y-8

Now solve for y then,

=> x+8 = 4y

=> y= [tex]\frac{1}{4} x+ 2[/tex]

Then [tex]f^-1[/tex] = [tex]\frac{1}{4}x+ 2[/tex]

Therefore inverse of the function is [tex]f^-1 = \frac{1}{4}x + 2[/tex] .

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The factor the binomial

Find the square root of a and the square root of b, then put them as the product of the sum and difference of these square roots

We will use this rule to factor in the given expression

Find the square root for each term

Write the two factors

The answer is the last choice (6x + 7)(6x - 7)

Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].

[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]

Hank: 1.3 pounds at a rate of 0.75 pounds per minute

Tom: 2.5 pounds at a rate of 0.5 pounds per minute

rate is given by

r = p / t

where p is the number of pounds picked during a fixed time

The number of berries picked by Hank during a certain time is given by the following equation

For Tom, the equation is the following:

Now, we need to find a time t when T and H are the same

We now just need to solve for t

Let's find t step by step

Which is the same as t=4.8

The given system of equation are :

-6x - y = -16

-6x -5y = -8

On subtracting both the equation we get :

-6x -y -(-6x -5y) = -16 -(-8)

-6x -y +6x +5y = -16 +8

-6x + 6x +5y -y = -8

4y = -8

4y = -8

Divide both side by 4:

4y/4 = -8/4

y = -2

Substitute the value of y =- 2 in the any one equation:

-6x - y = -16

-6x - (-2)= -16

-6x + 2 = -16

-6x = -16 -2

-6x = -18

x = 3

Answer : x = 3, y = -2

The given function is:

It is required to find the decay factor.

Recall that the standard form of an exponential decay function is given as:

Where a>0, 0and b is the decay factor.

Compare the given equation to the standard form.

It can be observed that b=0.75. Hence, the decay factor is 0.75.

According to the given data we have the following:

3√45 -4 √225 + √200 - √50

Then to simplify we would have to make the following:

[3 × √3 × √3 × √5] - [√5 × √5 × √5] + [√2 × √2 × √2 × √5 × √5] - [√2 × √5 × √5]

=[3 × 3 × √5] - [5 × √5] + [2 × 5 × √2] - [5 × √2]

=3√5 - 5√5 + 10√2 - 5√2

=√5(3 - 5) + √2(10 - 5)

=(-2√5) + 5√2

Answer: 1=x

Step-by-step explanation:

9-4x-4=3x-10+8x

9-4+10=3x+8x+4x

15=15x

1=x

Expand the brackets :
9 - 4x - 4 = 3x - 10 + 8x

-> 9 - 4x - 4 - (3x - 10 + 8x) = 0
-> 9 - 4x - 4 - 3x + 10 - 8x = 0
-> (9 - 4 + 10) - (4x + 3x + 8x) = 0
-> 15 - 15x = 0
15x = 15
x = 1

Might be confusing so just leave a comment if you don't understand (because I do the more detailed way really ;-;)

Step 1: Problem

2n = n + 3

Step 2: Concept

Collect like terms and find the value of x.

2n = n + 3

2n - n = 3

n = 3

Step 3: Final answer

n = 3

We have 20 coins in total, lets say that we have X amount od quarters(0.25 dollar) and Y amount of dimes(0.1 dollar), and in total we have $3.05, with this we can write the system:

Wich means that we have 20 coins, and:

Thats the amount of money we have.

So, from the first equation, we can isolate X, as follows:

And with that we can substitute X in the second equation, as follows:

So, if Y=13, we have that X=7. So 13 dimes and 7 quarters.

Answer:

option c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

0 < x and y <200

Solution

Given the equation 2x+5y=1

We are required to Identify the slope and y intercept

The general equation of a straight line is in the form y = mx + c

Where m = slope and c= y-intercept

To solve the problem before us, we need to re-write 2x+5y=1 in the form y = mx + c

Thus, the slope = -2/5 while the y-intercept is 1/5

The picture represents isosceles triangle theorem.

From the figure :

It is represented that two sides are equal.

And the angles opposite to this two equal sides are equal.

So it is a isosceles triangle.

Isosceles triangle:

If two sides of a triangle are congruent , then the angles opposite to these sides are congruent.

Therefore the picture represents isosceles triangle theorem.

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