Identify four solutions of the equation y = 2^x

Answer:

a) distance from plane to swimmer = 2127.66 m

b)  distance from swimmer to point D = 1928.31 m

Step-by-step explanation:

Given the question,

height at which the plane is = 900m

angle of depression = 25°

If we closely observe, the whole scene is making an right angle triangle

So, we can use trigonometry identities

cos (90-25) = 900 / AB

0.423 = 900 /AB

AB = 2127.66 m

sin(90-25) = AD /2127.66

AD =  sin(90-25) x 2127.66

AD = 1928.31m

Answer:

A should be the correct answer

Step-by-step explanation:

1/3π xr^2xh just means "3.14 x r^2 x height ÷ 3"

The right choice is C

See the image

Answer:

p=1.

Step-by-step explanation:

All you do is add 6 to both sides to get rid of the 6 on the p side and add 6 to the other side and the value of -5+6 is 1.

p=1.

Answer:

P=1

Step-by-step explanation:

You add 6 on both sides then subract by -5

and it will give you 1

Answer:

92.45cm^2

Step-by-step explanation:

The volume of the cone is found with pi*r^2*h/3

After 8 years, the city's population will be 538,156 people.

To calculate the population after 8 years, we can use the formula for compound interest:

\[A = P(1 + r)^n\]

Where:

A = Future population

P = Initial population (380,000)

r = Annual growth rate (6.25% or 0.0625 as a decimal)

n = Number of years (8)

Plugging in these values:

\[A = 380,000(1 + 0.0625)^8\]

\[A ≈ 538,156\]

So, the population of the city after 8 years will be approximately 538,156 people.

To calculate the population after 8 years, we used the formula for compound interest, as population growth can be thought of as compounding annually.

The initial population of 380,000 is multiplied by the growth factor, which is calculated by adding 1 to the annual growth rate expressed as a decimal (0.0625).

This factor is then raised to the power of the number of years (8).

The result is approximately 538,156, rounded to the nearest whole number. This means that with an annual growth rate of 6.25%, the city's population will increase to around 538,156 people after 8 years.

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The population in 8 years will be 663,994 people.

To find the population of a city after 8 years given a 6.25% annual growth rate, we use the formula for exponential growth:

Population = P(1 + r)^t

where:

Given:

Substitute the values into the formula:

Population = 380,000 * (1 + 0.0625)⁸

Calculate:

Rounding to the nearest whole number, the population after 8 years will be 663,994 people.

ANSWER

[tex](f\circ g)(x)=7 {x}^{2} - 9[/tex]

EXPLANATION

It was given that;

[tex]f(x) = 7x - 9[/tex]

and

[tex]g(x) = {x}^{2} [/tex]

We want to find an expression for the composition function;

[tex](f\circ g)(x)=f(g(x))[/tex]

[tex](f\circ g)(x)=f( {x}^{2} )[/tex]

We substitute x² into f(x)=7x-9

This will give us:

[tex](f\circ g)(x)=7 {x}^{2} - 9[/tex]

Answer:

Step-by-step explanation:

Y=18.75x + 2500

Change the addition sign to a subtraction = Y=18.75x - 2500

Then bring 18.75x and divide it by 2500 = 133.33 so Y=133.33 if you were to round it would be 133.00

The total wage will be equal to $2593.75.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Miguel recently started a new hourly wage job. The equation y= 18.75x + 2500 models his total pay.

The total wage at 5 hours will be calculated as below:-

y= 18.75x + 2500

y = ( 18.75 x 5 ) + 2500

y = ( 93.75 ) + 2500

y = $2593.75

Therefore, the total wage will be equal to $2593.75.

The complete question is given below:-

Miguel recently started a new hourly wage job. The equation y= 18.75x + 2500 models his total pay, y, in dollars as it relates to the number of hours, x, that he has worked. Calculate the total wage at 5 hours working.

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Answer:

a) UXW = 78        b) UWY = 48         c)  WZX = 48          d) XYZ = 42

Step-by-step explanation:

There are many ways you can do this, but I'll just describe one for each.

a) Angle YWV is vertical to XWZ, so they are congruent. Angle XWZ is an alternate interior angle with angle UXW, so UXW = 78.

b) All the angles that revolve around point W must add up to 360. We already know 4 angles due to vertical angles, so 78 + 78 + 54 + 54 = 264.

360 - 264 = 96.   There are two angles left, and since they are vertical they must be congruent. 96/2 = 48, so angle UWY is 48 degrees.

c) We already know that the angle vertical to UWY is 48, so WZX is also 48 degrees because they are alternate interior angles.

d) Angle UWY is 48 degrees and angle WUY is 90 degrees because of the perpendicular line. Now we can find XYZ, the remaining angle.

90 + 48 = 138.           180 - 138 = 42.          So XYZ = 42 degrees.

I hope this helped. I'm open to any questions you may have. :)

Answer:

a) UXW = 78 degrees

b) UWY = 48 degrees

c) WZX = 48 degrees

d) XYZ = 42 degrees

Step-by-step explanation:

Apply rules and theorems:

Angles in a triangle add up to 180 degrees.

Angles on a straight line add up to 180 degrees.

Right angles are 90 degrees.

Vertically opposite angles are equal.

With these we can solve for the angles.

V = 4/3 π r^3 //Multiply both sides by 3 and divide both sides by 4.

3V/4 = π r^3 //Divide both sides by π

(3V)/(4π) = r^3 //Cube root on both sides.

3√ (3V/4π)

NOTE: 3√ means cube root and not 3 times square root. Everything inside the root is cube root (3V)/(4π).

//Hope it helps.

For this case we have that by definition, the volume of a sphere is given by:

[tex]V = \frac {4} {3} * \pi * r ^ 3[/tex]

We must find the solution for "r", clearing:

Multiplying by 3 on both sides of the equation:

[tex]3V = 4 * \pi * r ^ 3[/tex]

We divide between[tex]4 * \pi[/tex] on both sides of the equation:

[tex]\frac {3V} {4 \pi} = r ^ 3[/tex]

Finally, we apply cubic root on both sides of the equation:

[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]

Answer:

[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]

Answer:

120 feet

Step-by-step explanation:

12 x 10 = 120

Answer:

Step-by-step explanation:

(3(-2)*3(5)*-2)^2

(-6*15*-2)^2

180^2

32,400

Answer:

[tex]\Rightarrow \dfrac{576}{625}[/tex]

Step-by-step explanation:

Given:

Expression, [tex](3x^3y^{-2})^2[/tex]

To find the value of expression at x=-3 and y=5

Put the values into expression

[tex]\Rightarrow (3(-2)^3(5)^{-2})^2[/tex]

[tex]\Rightarrow (3\cdot -8\cdot \dfrac{1}{25})^2[/tex]      [tex]\because x^{-m}=\dfrac{1}{x^m}[/tex]

[tex]\Rightarrow (-\dfrac{24}{25})^2[/tex]

[tex]\Rightarrow \dfrac{576}{625}[/tex]

Hence, The value of expression would be [tex]\Rightarrow \dfrac{576}{625}[/tex]

Answer:

Step-by-step explanation:

The best way to do a question like this is to see what the answer is and then see if you can get it. The graph is labeled to show what the integer values for each integer point on the graph is.

I don't know what else to add, so if you have any additional problems, please list them under this question. I will see your comment.

A sample calculation would be

y = - abs(-x)

Let x = - 2

y = - abs(-2)

The absolute command changes - 2 to + 2

y = - abs(2)

y = - 2 because of the minus sign in front of  the absolute value command.

So the point is (-2,-2)

Answer:

96°

Step-by-step explanation:

so we are given two angles, we can use the two angles that were given to find the angles inside the triangle (2 of them)

then once we find those two angles in the triangle, we can use those to find the third angle

then we can figure out what x is

so both a straight line and a triangle are 180°

angle 1: 180°-134° = 46°

angle 2: 180°- 130° = 50°

now we add the two angles together: 46° + 50° = 96°

one triangle = 180°

180° - 96° = 84° = angle 3

now we can find x by subtracting 84° from 180°

180°-84° = 96°

Answer:

x = 96 degrees

Step-by-step explanation:

As you know the sum of a set of exterior angles is 360 degrees

so

x + 130 + 134 = 360

x + 264 = 360

x = 360 - 264

x = 96

First solve the equation for 3x

-3x+3y=12

3x=-57-6y

Now substitute the given value into the equation

-(-57-6y)+3y=12

Then solve for y

Y=-5

Then substitute the given value of y

3x=-57-6✖️(-5)

Now solve for x

X=-9

Ordered pairs

(X,Y)=(-9,-5)

Then you are left with your answer:

(-9,-5)

Hope this helps! :3

First we need to solve for X.

Solve for xx.

-3x+3y=12−3x+3y=12

Divide both sides by -3−3.

x-y=-\frac{12}{3}x−y=−

Simplify \frac{12}{3}

x-y=-4x−y=−4

Add y to both sides.

x=-4+yx=−4+y

Regroup terms.

x=y-4x=y−4

Step two:

Let's start with the normal equation.

3x+6y=-573x+6y=−57

Let x=y-4x=y−4.

3(y-4)+6y=-573(y−4)+6y=−57

Simplify.

9y-12=-579y−12=−57

Great! Now we are on step 3.

Solve for y.

9y-12=-579y−12=−57

Add 1212 to both sides.

9y=-57+129y=−57+12

Simplify -57+12−57+12 to -45−45.

9y=-459y=−45

Divide both sides by 99.

y=-\frac{45}{9}y=−

Simplify \frac{45}{9}​​  to 55.

y=-5y=−5

Step 4! Boom!!

Now let's start with what we have.

x=y-4x=y−4

Let y=-5y=−5.

x=-5-4x=−5−4

Simplify.

x=-9x=−9

Then our answers are:

x=−9

y=-5y=−5

Have an amazing day and thanks for using Brainly!

​

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Answer:

25.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes, a rhombus

The student draws a shape (trapezoid, kite, chevron, non-rectangular or non-rhombi parallelogram, or other quadrilateral that fits the criteria) and can clearly explain why it is not a square (because it does not have four right angles and four congruent sides), a rhombus (because it does not have four congruent sides)

I hope that help u(:

Answer:

19.38 cm^2

Step-by-step explanation:

base * height = A of parallelogram

3.4 * 5.7 = 19.38

Answer:

177 Seconds

Step-by-step explanation:

192 + 231 =423

10 minutes is equal to 600 seconds because there are 60 seconds in every minute.

600 - 423 = 177

Final answer:

Sierra listened to a total of 600 seconds of music. After subtracting the length of the first two songs (192 seconds + 231 seconds = 423 seconds), we find the third song was 177 seconds long.

Explanation:

Sierra listened to her playlist for 10 minutes, or 600 seconds, as there are 60 seconds in a minute. She listened to 3 songs where the first song lasted 192 seconds and the second song lasted 231 seconds. To find out how long the third song was, we need to subtract the length of the first two songs from the total listening time.

The total length of the first two songs is 192 seconds + 231 seconds = 423 seconds.

So, the length of the third song is 600 seconds - 423 seconds = 177 seconds, which means the third song lasted for 177 seconds.

Slope: 4/3

x-intercept: (-3,0)

y-intercept: (0,4)

slope: 3/4

y intercept: 4

I'm not sure what the x intercept is. Hope this can help!

Answer: [tex]25\pi\ ft^2[/tex] (First option)

Step-by-step explanation:

The formula for calculate the area of a circle is the one shown below:

[tex]A=r^2\pi[/tex]

Where r is the radius of the circle.

XY is the diameter. Then the radius is:

[tex]r=\frac{10ft}{2}\\r=5ft[/tex]

Substitute values into the formula shown above. Therefore, the area of the circle is:

[tex]A=(5ft)^2\pi \\A=25\pi\ ft^2[/tex]

Answer:

The correct answer is first option 25pi ft2

Step-by-step explanation:

Formula

Area of circle = πr²

r - Radius of circle

To find the area of given circle

Here XY = 10 ft

XY is the diameter of given circle

Radius r = Diameter/2 = 10/2 = 5 ft

Area = πr² = π5² = π x 5 x 5 = 25π ft²

Therefore area of given circle is 25π ft²

The correct answer is first option.

Answer: 2 1\2

Step-by-step explanation:

4-1 1\2=2 1\2

Solution set: s ∈ (-4, -12). The first option shows the correct number line.

Let's find the number line that shows the solution set for the inequality:

[tex]\left|\frac{s}{2}+4\right| < 2[/tex]

We can solve the inequality by splitting it into two cases, one positive and one negative, and then solving each case separately.

Steps to solve:

1. Split the inequality into two cases:

[tex]\frac{s+8}{2} < 2[/tex]

[tex]-\frac{s+8}{2} < 2[/tex]

2. Solve the first case:

[tex]2 \cdot \frac{s+8}{2} < 2 \cdot 2[/tex]

s + 8 < 2⋅2

s + 8 < 4

s < −4

3. Solve the second case:

[tex]2 \cdot \frac{-(s+8)}{2} < 2 \cdot 2[/tex]

−(s + 8) < 2⋅2

−s − 8 < 2⋅2

−s − 8 < 4

−s < 12

[tex]\frac{-s}{-1} > \frac{12}{-1}[/tex]

s > −12

4. Combine the solutions from both cases:

s < −4 or s > −12

The number line that shows the solution set for the inequality is the one with the shaded regions between −4 and −12.

Answer:

[tex]\$\ 25[/tex]

Step-by-step explanation:

By definition, the absolute error is defined as:

[tex]\epsilon = |x_a - x_e|[/tex]

Where:

[tex]\epsilon[/tex]: is the error

[tex]x_a[/tex]: is the approximate value

[tex]x_e[/tex]: is the exact value

In this problem the approximate value was 100 and the exact value was 75. Then we substitute these values in the formula to find the error.

[tex]\epsilon = |100 - 75|\\\epsilon = \$\ 25[/tex]

Answer:

$25

Step-by-step explanation:

|25|=25

For people doing this in 2020

Answer:

A and C do not describe a residual

Step-by-step explanation:

A residual in least squares regression is defined as the difference between the actual value and the predicted value. Symbolically, this definition is represented by alternative B.

since you cross multiply, 2 times 4 is 8 and 6 times the p is 6p so divide both sides by 6 and 8/6 is 1.33 so 1.33=p

Answer:

p = 4/3

Step-by-step explanation:

The problem is showing you a proportion and how to solve it.

Let's use the following proportion to explain the cross multiplication method.

[tex] \dfrac{a}{b} = \dfrac{c}{d} [/tex]

Start with the proportion above. To get rid of parentheses, multiply both sides by b and by d.

[tex] bd\dfrac{a}{b} = bd\dfrac{c}{d} [/tex]

Simplify:

[tex] ad = bc [/tex]

Now look again at the proportion we started with.

[tex] \dfrac{a}{b} = \dfrac{c}{d} [/tex]

The two products we ended up with are the same you have circled in your problem. Those products are the result of cross multiplying.

Now let's do your problem and go straight to the cross multiplication.

[tex] \dfrac{6}{2} = \dfrac{4}{p} [/tex]

6 and p are circled together, so the left side becomes 6p.

2 and 4 are circled together, so the right side becomes 2 * 4.

After cross multiplying, we have

6p = 2 * 4

6p = 8

Divide both sides by 6 to find p.

p = 8/6

Reduce the fraction

p = 4/3

What the problem shows you is that to simplify a proportion, set the cross products equal to each other, and solve the equation.

Answer:

$392

Step-by-step explanation:

We are buying 16 blouses.  Each one costs 24.50

16*24.50 =392

The total cost of the 16 blouses is $392

Answer:

$392.00 all together

Step-by-step explanation:

$24.50 times 16

Hope This Helps!    Have A Nice Day!!

Volume is found by multiplying the length by the width by the height.

Since you are given the volume and two of the dimensions, multiply the two dimensions together, then divide the volume by that number.

11 x 5 = 55

Width = 440 / 55

Width = 8 inches.

top problems:

1-) x²-2x-8

---------------------

2-) 4s²-4s+1

---------------------

3-) 6x²-3-7x

---------------------

4-) 4u²+8u

---------------------

5-) t²-15

---------------------

6-) 3x²-x-4

bottom problems:

1-) [tex]\frac{1}{4},-1[/tex]

y=x²+[tex]\frac{3x}{4}-\frac{1}{4}[/tex]

---------------------

2-)[tex]\sqrt{2},\frac{1}{3}[/tex]

---------------------

3-) 0, √5

---------------------

4-) 1,1

---------------------

5-)[tex]-\frac{1}{4}, \frac{1}{4}[/tex]

---------------------

6-) 4,1

Step-by-step explanation:

1) x²- 2x - 8

= x² - 4x + 2x - 8

= ( x - 4 )(x-2)

2) 4s² - 4s +1

= (2s)² - 2*2*s + 1²

= ( 2s + 1)²

In similar way you can factor out the other expressions .

Divide 30 minutes by 5 miles to see how many minutes it takes to run run mile.

Multiply the time to run 1 mile by 7 miles.

30 min / 5 miles = 6 minutes per mile.

6 minutes per mile x 7 miles = 42 total minutes.

Recall that the sum of all interior angles in a triangle is 180°, and that a flat-line is always 180°.

Check the picture below.