13. What value of b would make the function f (x)- Ibal stretch horizontally by a
factor of 4 and reflect across the y-axis?

To solve this problem we need to be aware of the concepts of angles in a circle. Also we need to know what is a major angle and what is a minor angle.

That major part of an angle is equal to (360-minor part of the angle).

We know the total angle in a circle is 360°.

Here, ∠SKL=120+2x; ∠JKS=28° and ∠JKL=x+148.

Sum of all the angles will give us 360°.

According to question,

  ∠SKL+∠JKS+∠JKL=360°

⇒(120+2x)°+28°+(x+148)°=360°

⇒3x+296°=360°

⇒3x=360°-296°

⇒x=[tex]\frac{64}{3}[/tex]

∴ x=21.3

Hence, the value of x is 21.3 in the given problem.

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convert 81°into radian

81°=(81×pie/180)=9pie/20 pie=22/7

now,

radius=arc length/θ in radian

then 69/(9pie/20)

=48.79

The square root of 58 is around 7.6

The entire number is, 7.61577310586...

By using a linear equation, we can see that after the 19 day the population will be less than 1000 mold spores.

We know that the population decays at a rate of 30 spores per day, and we have an initial population of 1560 mold spores.

Then, the population of spores after x days is given by the linear equation:

P(x) = 1560 - 30*x

The population will be exactly 1000 spores when:

P(x) = 1000 =  1560 - 30*x

We need to solve that for x.

30x = 1560 - 1000 = 560

x = 560/30 = 18.67

So after 18.67 days the population is 1000, this means that after the 19 day the population will be less than 1000 mold spores.

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Answer:

Solution: x = 9    Extraneous solution:  x = 1

Step-by-step explanation:

Given equation:

[tex]\sqrt{4x}=x-3[/tex]

Square both sides:

[tex]\implies \left(\sqrt{4x}\right)^2=\left(x-3\right)^2[/tex]

[tex]\implies 4x=x^2-6x+9[/tex]

Subtract 4x from both sides:

[tex]\implies 4x-4x=x^2-6x+9-4x[/tex]

[tex]\implies 0=x^2-10x+9[/tex]

[tex]\implies x^2-10x+9=0[/tex]

Split the term in x:

[tex]\implies x^2-x-9x+9=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x-1)-9(x-1)=0[/tex]

Factor out the common term (x - 1):

[tex]\implies (x-9)(x-1)=0[/tex]

Apply the zero-product property:

[tex](x-9)=0 \implies x = 9[/tex]

[tex](x-1)=0 \implies x=1[/tex]

Substitute the found values of x into the original equation to verify the solutions:

[tex]\begin{aligned}x=9 \implies \sqrt{4 \cdot 9} & = 9-3\\\sqrt{36} & = 6\\6 & = 6\end{aligned}[/tex]

[tex]\begin{aligned}x=1 \implies \sqrt{4 \cdot 1} & = 1-3\\\sqrt{4} & = -2\\ 2 & = -2\end{aligned}[/tex]

Therefore, the only valid solution is x = 9:

Extraneous solution:  A solution from the process of solving the equation that is not a valid solution to the original equation.

Answer:

The answer to your problem is -1/3

Step-by-step explanation:

Let me know if you need the steps. Thanks

D = RT would be the fundamental equation to answer this, which is

Distance in D

Rate is R (speed)

It is now.

We can determine the individual distances for the two legs of the whole to determine the overall distance D.

Initial Leg:

R = 8

T = a

D = 8a

8(45 – b) + 7.5b =D

What is the formula for rate and distance?

Use the formula d = st to determine speed, distance, or time. Distance is equal to speed multiplied by time. Given two known numbers, the Speed Distance Time Calculator can solve for the unknown sdt value.

Units of seconds (s), minutes (min), hours (hr), or hours, minutes, and seconds can be used to input or solve for time (hh:mm:ss). Time format shortcuts are shown below.

Use the formula d = st, or distance equals speed times time, to find the distance.

Distance Equals speed x time

Since both reflect a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable. If speed s and rate r are equal, then r = s = d/t. The corresponding formula is d = rt, which denotes Rate times time are equivalent to distance.

Distance = Rate x Time

Use the speed formula, s = d/t, which states that speed is equal to distance divided by time, to solve for speed or rate.

speed equals distance/time.

Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.

Time = Speed/Distance

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false is the answer of that Q

Answer:

that's like 77% off if im reading this right

Step-by-step explanation:

Answer:

15, 16 and 17

Step-by-step explanation:

Consecutive numbers mean numbers that are separated by 1 from each other. For example 5, 6 and 7 are three consecutive numbers and 5 is the smallest

Let the smallest number be x
Then the next consecutive number is x + 1  
The next one after that is x + 2

Sum = x + x + 1 + x + 2 = x + x + x + 1 + 2 = 3x + 3

We are told that this sum is 33 more than the smallest number x

So 3x+3 = x + 33 Subtract x from both sides
3x - x + 3 = x + 33 -x
==>  2x + 3 = 33

Subtract 3 from both sides
==> 2x + 3 - 3 = 33 -3
==> 2x = 30
Divide both sides by 2

==> 2x/2 = 30/2
==> x = 15

So the smallest number is 15 and the three numbers are 15, 16 and 17

Verify by adding 15+16 +17 = 48
15 + 33 = 48 so consistent

A: The three consecutive numbers are 15, 16, 17.

Explanation:

Let x, y, z be the numbers.

x + y + z = x + 33

y = x + 1

z = x + 2

We will solve this system of equations using the substitution method.

x + x + 1 + x + 2 = x + 33

x + x + x - x = 33 - 1 - 2

2x = 30

x = 15

y = 15 + 1 = 16

z = 15 + 2 = 17

Solving for x + y + z = x + 33:

15 + 16 + 17 = 15 + 33

48 = 48

A: 15, 16, 17.

Answer:

we will need to to divide the given amounts of kilograms to the amount of batches of cookies made

461.01÷97

=4.75

(this is rounded off)

The speed of the faster cyclist is 30 mph.

Two cyclists, distance = 90 miles.

let the speed of one cyclist is = x and

let the speed of the other cyclist = 2x

time after which both the cyclists will meet = 3 hours.

Since they are travelling towards each other the effective speed = 2x ₊ x

= 3x

we know that time = distance/speed

3 = 90/3x

3x = 30

x = 10 mph speed of one cyclist.

speed of the other cyclist will be 3x = 3 × 10 = 30 mph

The speed of the fastest cyclist is 30 mph.

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Building systems of equations, we have that:

a) The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

b) The system of equations is composed by the equations given below.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For item a, the variables are given as follows:

Considering that a sell is positive money and a buy negative, and the text, the equations are given as follows:

Using a calculator, the solutions are given as follows:

x = 1200, y = 500, z = 300.

Hence:

The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

For item b, all missing values are variables, given by:

x, y, z, t and w.

From the sum of the rows:

From the sum of the columns:

From the diagonals:

The system is composed by all these equations.

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Answer:

If you could take a picture of the rectangle I could help you answer that. I can't see the rectangle.

Answer: 2x - 8= 18

2x - 8=18

2x=26

x= 13

Answer:

the answer is 16 feet

Step-by-step explanation:

Answer:

2 Cups

Step-by-step explanation:

First of all you need to add all of the ingredients together, which would total 12 cups of smoothie. Also important to add is that 1 quart is 4 cups. Then you have 12/6 which equals 2!

The cups of smoothie in each glass is 2 cups.

In order to determine the number of cups of smoothie that would be put in each glass, it should be ensured that the measures of the ingredients are in the same unit.

The first step is to determine the total cups of smoothie that Craig makes.

In order to determine the total cups, quart has to be converted to cups

1 quart = 4 cups

Total number of cups = 5 + 4 + 3 = 12 cups

The next step is to determine the cups in each glass.

Cup of smoothie in each glass = total number of cups of smoothie / total number of large cups

12 / 6 =2 cups.

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The coordinates of our position after moving up and down will be (0, -7)

We are given a coordinate plane and we are standing at the origin of the plane.

That is, our position is (0, 0).

Now, we move 2 units in the positive direction.

So, now our position will be:

(0, 2)

Then, we move downward a distance of 9 units.

So, our position will now become:

(0, 2 - 9)

(0, -7)

Therefore, the coordinates of our position after moving up and down will be (0, -7)

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They will weigh the same at twenty-five months.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Let the number of months when they will weigh the same would be m

Given that Bill is losing two pounds per month and is currently 240 pounds.

So his model expression of weight would be: 240 - 2m

And Bill is losing four pounds per month and is currently 290 pounds.

So his model expression of weight would be: 290 - 4m

As per the condition, they will weigh the same

⇒ 240 - 2m = 290 - 4m

⇒ 4m - 2m = 290 - 240

⇒ 2m = 50

⇒ m = 25

Therefore, they will weigh the same at twenty-five months.

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1) The angular speed is approximately 12.566 radians per second.  

2) The linear speed of a point on the edge of the disk is 1.257 meters per second.

1) Herein we have a disk that spins at constant angular speed (ω), in radians per second, whose magnitude is found dimensional analysis and unit conversions:

ω = 120 rev / min × (2π rad / 1 rev) × (1 min / 60 s)

ω ≈ 12.566 rad / s

The angular speed is approximately 12.566 radians per second.  

2) The linear speed (v), in meters per second, on the edge of the disk is described by the following formula:

v = R · ω  

Where R is the radius of the spinning disk, in meters.

If we know that R = 0.1 m and ω ≈ 12.566 rad / s, then the linear speed is:

v = (0.1 m) · (12.566 rad / s)

v = 1.257 m / s

The linear speed of a point on the edge of the disk is 1.257 meters per second.

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Answer:Look

Step-by-step explanation: Look and solve its not that hard

Answer:

126

Step-by-step explanation:

A number is divisible by 3 if its sum of digits is divisible by 3 (you can do it over and over again until it's one digit!).

A number is divisible by 2 if its last digit is 0, 2, 4, 6 or 8.

A number is divisible by 6 if it is divisible by 2 and by 3.

A number is divisible by 9 if its sum of digits is divisible by 9 (you can do it over and over again until it's one digit!).

So we need a number with last digit 0, 2, 4, 6, or 8 (because it's divisible by 6 hence by 2) and with a sum of digits divisible by 9 (because if it's divisible by 9 it's also divisible by 3).

130 is not divisible by 9, so the first digits must be 12X.

to get a number divisible by 9, we need to add a digit D so that 1+2+D is divisible by 9.

9 - 1 - 2 = 6

126 is divisible by 9 because it's sum of digits is 9. It's also divisible by 6, because it is divisible by 3 and its last digit is 6.

Answer: 58 degrees

Step-by-step explanation:

a+b=90  ==> angles a and b are on a right angle which measures 90 degrees.

32+b=90

b=58 degrees

x=256

[tex] {256}^{256} = ( { {2}^{8} })^{256} = {2}^{8 \times 256} = {2}^{2048} [/tex]

By solving the linear equation it can be obtained that

The value of x is 2

What is a linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

The given linear equation is

0.3 = 0.5x - 0.7

0.5x = 0.3 + 0.7

0.5x = 1

x = [tex]\frac{1}{0.5}[/tex]

x = 2

The solution of this linear equation is x = 2

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Answer:

3.4

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

Steps

1. Isolate the variable subtract 4.25 since it's positive.

4.25 - 1.25x = 0

- 4.25 - 4.25

- 1.25x = - 4.25

2. Divide by - 1.25 in both sides of equation.

- 1.25x = - 4.25

--------- ---------- <------- fraction bar/ divide

-1.25 -1.25

x = 3.4

Check:

4.25 - 1.25 (3.4) = 0

4.25 - 4.25 = 0

0 = 0

True statement.

Answer:

The only answer is 46.3. I'm not sure whether or not you mixed up one of the decimals, but this is the only answer out of the others.

I hope this helps.

The number 6.945 × 10¹⁰ is 463 times more than 1.5 × 10⁸. As a result, option A is right and the other choices are false.

A fraction is a number that, when stated mathematically, designates a component of a whole. A fraction is a portion or division of any whole, which could be any number, a specific sum, or an actual object.

The horizontal bar known as the fractional bar divides the numerator and denominator of every fraction into these two halves.

There are several types of fractions, some of them are :

According to the question,

(6.945 × 10¹⁰) / (1.5 × 10⁸)

= 463

Hence, it is concluded that 6.945 × 10¹⁰ is 463 times more than 1.5 × 10⁸.

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Work Shown:

9+15 = 24 students total

9 have glasses, so 9/24 = 0.375 = 37.5% of the class wears glasses.