What is the domain of this exponential function?

Show work please I have no clue how to do this.

Answer:

Yes

Step-by-step explanation:

A complete probability model should sum up the probability to 1

by adding them up, you will find the sum as 1/12 + 8/12 + 3/12 = 12/12

So, they can be a complete probability model with 3 outcomes "2", "3" & "4"

Answer:

Yes they are.

Because:

As said in the rules you have to keep the bases and add the exponents.

The spread of the data is greater for the basketball games attendance compared to the movie attendance, as indicated by both the range and the IQR.

To measure the spread of the data in the box plots, we can consider several measures such as the interquartile range (IQR) and the range.

The interquartile range (IQR) is a measure of statistical dispersion and is defined as the difference between the upper quartile (Q3) and the lower quartile (Q1). In the "Movies" box plot, the IQR is 185 - 130 = 55, while in the "Basketball games" box plot, the IQR is 275 - 225 = 50. A larger IQR indicates a greater spread of the data.

The range is another measure of spread and is defined as the difference between the maximum and minimum values in the dataset. In the "Movies" box plot, the range is 200 - 100 = 100, while in the "Basketball games" box plot, the range is 300 - 135 = 165. A larger range indicates a wider spread of the data.

Comparing the two box plots, we can see that the range of the "Basketball games" data (165) is larger than that of the "Movies" data (100), indicating a wider spread of attendance at basketball games. Similarly, the IQR of the "Basketball games" data (50) is smaller than that of the "Movies" data (55), suggesting a slightly narrower spread in attendance at basketball games compared to movie attendance.

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Answer:

18) -41.4%

19) 62.4%

Step-by-step explanation:

18) % change =

\(\frac{x2 - x1}{x1}\\\\= \frac{133-227}{227}\\\\= \frac{-94}{227}\\\\= -0.41409* 100\\\\= -41.4\)

19) % change =

\(\frac{x2 - x1}{x1}\\\\= \frac{216-133}{133}\\\\= \frac{83}{133}\\\\= 0.62406\\\\= 62.406\)

Feel free to mark this as brainliest! :D

Answer:

reference attached

hope it helps you <3

The required range of users that access the website each day is between 95 and 155, inclusive.

Range, it is the set of values that come out to an outcome for a certain mathematical operations.

Here,
The inequality |125 - u| ≤ 30 means that the distance between u and 125 is less than or equal to 30. In other words, u can be any number that is within 30 units of 125, either above or below 125.

We can express this as two separate inequalities:

125 - 30 ≤ u ≤ 125 + 30

Simplifying, we get:

95 ≤ u ≤ 155

Therefore, the range of users that access the website each day is between 95 and 155, inclusive.

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Answer: $206

Step-by-step explanation:

n=packets of noodles.

c=packets of cookies.

d=packets of dry fruit.

2n+20c+50d=

2(3)+20(5)+50(2)=

6+100+100=

6+200=$206

Answer:

x² + (y + 3)² = 25

Step-by-step explanation:

the centre (C) of the circle is at the midpoint of the diameter.

using the midpoint formula

midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )

C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )

the radius r is the distance from the centre to either P or Q

using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )

r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)  

 = \(\sqrt{3^2+(1+3)^2}\)

 = \(\sqrt{3^2+4^2}\)

 = \(\sqrt{9+16}\)

 = \(\sqrt{25}\)

 = 5

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (0, - 3 ) and r = 5 , then

(x - 0 )² + (y - (- 3) )² = 5² , that is

x² + (y + 3)² = 25

Answer:

5 units (you are right!)

Step-by-step explanation:

The triangles ABD and BCD are similar.

Therefore,

\(\frac{x}{10}=\frac{10}{4x} \\4x^{2}=100\\x^{2}=25\\x=5\)

I hope this helped!

1: The horizontal distance h can be expressed as a function of the slanted distance d.

2:

To understand the relationship between the horizontal distance h and the slanted distance d, we can visualize a right triangle formed by the airplane's altitude, the slanted distance, and the horizontal distance. In this triangle, the altitude acts as the vertical leg, the slanted distance as the hypotenuse, and the horizontal distance as the adjacent leg.

Using the Pythagorean theorem, we can relate the three sides of the triangle: altitude squared plus horizontal distance squared equals slanted distance squared. Mathematically, this can be represented as h² + 3700² = d².

By rearranging the equation and solving for h, we can express the horizontal distance h as a function of the slanted distance d: h = √(d² - 3700²).

This function provides a way to calculate the horizontal distance based on the given slanted distance. By plugging in different values of d, we can obtain the corresponding horizontal distances.

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Step-by-step explanation:

You can use this app is call symbols and it's completely free.

Hope this helps

The general for of linear equation is ;

y= mx + c where m is the slope and c is the y-intercept

The equation is :

y= 2x -5 ------compare with the genaral equation as

y=mx + c

This shows m, slope = 2 and the y-intercept , c is -5

Answer

Slope = 2

y-intercept = -5

The polar form of the expression (11∠60°)(35∠-41°)/(2+j6)-(5+j) is √10/100 cis(19.12°).

To simplify the expression in polar form, let's break it down step by step:

Step 1: Convert each complex number to polar form.

(11∠60°) = 11 cis(60°)

(35∠-41°) = 35 cis(-41°)

(2+j6) = sqrt(2^2 + 6^2) ∠ atan(6/2) = 2√10 cis(atan(3)) = 2√10 cis(71.57°)

(5+j) = sqrt(5^2 + 1^2) ∠ atan(1/5) = √26 cis(atan(1/5)) = √26 cis(11.31°)

Step 2: Divide the polar forms.

(11 cis(60°))(35 cis(-41°))/(2√10 cis(71.57°)) - √26 cis(11.31°)

Step 3: Divide the magnitudes and subtract the angles.

Magnitude:

11/35 / (2√10) = 11/(35 * 2√10) = 11/(70√10) = 1/(10√10) = 1/(10 * √10) = 1/(10 * √10) * (√10/√10) = √10/100

Angle:

60° - (-41°) - 71.57° - 11.31° = 60° + 41° - 71.57° - 11.31° = 19.12°

Step 4: Express the result in polar form.

√10/100 cis(19.12°)

Therefore, the polar form of the expression (11∠60°)(35∠-41°)/(2+j6)-(5+j) is √10/100 cis(19.12°).

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Answer:

$ 3078.

Step-by-step explanation:

A square yard is 3 feet by 3 feet =  9 square feet

1800 sq ft / 9 sq ft/ sq yard =200 sq yrds

200 sq yds * $  15.39 / sq yd $ 3078.

The total distance travelled by the two tortoises is 4.7 yards or 14 feet or 168 inches.

Also the distance between tortoises is 0.5 yards or 1.5 feet or 18 inches

For total distance travelled,

First, let's convert the initial distance between the two tortoises from feet and inches to inches:

1 foot and 6 inches = 12*1 + 6 = 18 inches

Let's also convert the distance traveled by tortoise B from feet and inches to inches:

4 feet and 8 inches = 12*4 + 8 = 56 inches

Now we can use the information given to set up two equations:

distance traveled by tortoise A = 2 * distance traveled by tortoise B

distance traveled by tortoise A + 18 inches = distance traveled by tortoise B + 56 inches

Let's simplify the second equation by subtracting 18 inches from both sides:

distance traveled by tortoise A = distance traveled by tortoise B + 38 inches

Now we can substitute the second equation into the first equation to get:

distance traveled by tortoise B + 38 inches = 2 * distance traveled by tortoise B

Simplifying this equation, we get:

distance traveled by tortoise B = 38 inches

So, after 2 minutes, tortoise B has traveled 56 inches, or 4 feet and 8 inches, and tortoise A has traveled twice that distance, which is 112 inches, or 9 feet and 4 inches.

The total distance traveled by the two tortoises after 2 minutes is the sum of the distances they traveled:

total distance = distance traveled by tortoise A + distance traveled by tortoise B

total distance = 112 inches + 56 inches

total distance = 168 inches = 4.7 yard or 14 feet

For distance between the tortoises,

We can use the same approach as before to solve this problem.

After 2 minutes, we found that tortoise A traveled 9 feet and 4 inches, or 2.8 yards, and tortoise B traveled 4 feet and 8 inches, or 1.5 yards.

Since both tortoises are moving at a constant speed, we can assume that they will continue to travel at the same rate. Therefore, after 5 minutes, tortoise A will have traveled 2.8 yards * (5/2) = 7 yards and tortoise B will have traveled 1.5 yards * 5 = 7.5 yards.

The distance between the two tortoises after 5 minutes is the difference between the distances they traveled:

distance between tortoises = distance traveled by tortoise A - distance traveled by tortoise B

distance between tortoises = 7 yards - 7.5 yards

distance between tortoises = -0.5 yards

Since the distance is negative, we can conclude that after 5 minutes, tortoise B will be ahead of tortoise A by 0.5 yards.

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The value of the money supply (m) is 2818

The given parameters are:

velocity (v) equals 4,

the price level (p) equals 98,

real gdp (q) equals 115

The equation is given as:

mv= pq

So, we have

m * 4 = 98 * 115

Evaluate the product

m * 4 = 11270

Divide by 4

m = 2818

Hence, the value of the money supply (m) is 2818

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Answer:

44

Step-by-step explanation:

x = 4 and y = 12.

5х² - 3у

20x - 3y

80 - 36

44

Answer: 20°

Step-by-step explanation:

The sum of all the interior angles of a triangle is 180°

So to find the missing angle you just need to subtract 25° and 135° from 180°, which equals 20°

To calculate P(A and B), you need to use the formula for the probability of two events occurring together.

The formula is:

P(A and B) = P(A) x P(B | A) Where P(A) is the probability of event A occurring, and P(B | A) is the probability of event B occurring given that event A has already occurred.

1. Determine the probability of event A occurring. This will be your P(A) value.

2. Determine the probability of event B occurring given that event A has already occurred. This will be your P(B | A) value.

3. Multiply P(A) and P(B | A) together to get P(A and B). For example, let's say that event A is rolling a 6 on a six-sided die, and event B is flipping a coin and getting heads. The probability of event A occurring is 1/6, and the probability of event B occurring given that event A has already occurred is 1/2.

So:

P(A and B) = P(A) x P(B | A) P(A and B) = (1/6) x (1/2) P(A and B) = 1/12

So the probability of both events occurring together is 1/12.

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Answer:

3 cups for 60 biscuits

60/3=20

1 cup for 20 biscuits

95/20=4.75

4.75 cups of flour

Hope This Helps!!!

Answer:4.75

Step-by-step explanation: If 3 cups equals 60 biscuits then how much with you need for 95 biscuits

60/3 equals 20 95/20 equals 4.75 just to make sure lets multiply

475x20 equals 9500 now put the decimal back in place   95.00

Answer:

D

Step-by-step explanation:

I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952

Sorry if this isnt enough, but i am sure.

Answer:

D.  11 < x < 19.

Step-by-step explanation:

The third side x is between 11 and 19 cm.

Consider sides AB (length 4) and BC (length 15) of the triangle.

Consider the angle between AB and BC is slightly less than 180 degrees.  To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.

Consider the angle between AB and BC is slightly more than 0 degrees.  To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.

first off let's notice a few things on that function.

the graph "passes" -5, that's a root, the graph "touches" 3 and goes back up, that's another root, but that's a root with an "even multiplicity", the heck does that mean? well, it means there are at least two roots, could be 4 or 6 or 18, so long is even, but we're shooting for the least degree, so we'll settle for 2.

now hmm, let's reword that

what's the equation of a function with roots at -5 and 3 twice, that it passes through (0 , 9)?

\(\begin{cases} x = -5 &\implies x +5=0\\ x = 3 &\implies x -3=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +5 )( x -3 )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that } \begin{cases} x=0\\ y=9 \end{cases} \\\\\\ a ( 0 +5 )( 0 -3 )( 0 -3 ) = 9\implies 45a=9\implies a=\cfrac{9}{45}\implies a=\cfrac{1}{5} \\\\[-0.35em] ~\dotfill\)

\(\cfrac{1}{5}(x+5)(x-3)^2=y\implies \cfrac{1}{5}(x+5)(x^2-6x+9)=y \\\\\\ \cfrac{1}{5}(x^3-x^2-21x+45)=y\implies {\Large \begin{array}{llll} \cfrac{x^3}{5}-\cfrac{x^2}{5}-\cfrac{21x}{5}+9=y \end{array}}\)

Check the picture below.

The statistical technique used to estimate future values by successive observations of a variable at regular intervals of time that suggest patterns is called trend analysis.

Trend analysis is a statistical technique that helps identify patterns and tendencies in a variable over time. It involves analyzing historical data collected at regular intervals to identify a consistent upward or downward movement in the variable.

By examining the sequential observations of the variable, trend analysis aims to identify the underlying trend or direction in which the variable is moving. This technique is particularly useful when there is a time-dependent relationship in the data, and past observations can provide insights into future values.

Trend analysis typically involves plotting the data points on a time series chart and visually inspecting the pattern. It helps in identifying trends such as upward or downward trends, seasonality, or cyclic patterns. Additionally, mathematical models and statistical methods can be applied to quantify and forecast the future values based on the observed trend.

This statistical technique is widely used in various fields, including finance, economics, marketing, and environmental sciences. It assists in making informed decisions and predictions by understanding the historical behavior of a variable and extrapolating it into the future.

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answer

dividing the number of successful throws by the total number of throws:

number of successful throws = 12

total number of throws = 18

probability of hitting the target on the next throw = number of successful throws : total number of throws:

probability of hitting the target on the next throw = 12 : 18

hitting the target on the next throw = 0.6667 or 67%

approximate probability of emily hitting the target on her next throw is 67%

Answer:

Equation of line is: \(\mathbf{y=4x+3}\)

Step-by-step explanation:

We are given:

A straight line has gradient 4 and passes through the point (5,23).

Work out the equation of the line.

The equation of line will be in slope-intercept form: \(y=mx+b\)

where m is slope and b is y-intercept

Finding slope

We have slope (gradient) m = 4

Finding y-intercept

Using slope m = 4 and point (5,23) we can find b i.e y-intercept

\(y=mx+b\\23=4(5)+b\\23=20+b\\b=23-20\\b=3\)

So, we get y-intercept b = 3

Finding Equation of Line

Now, writing equation of line having slope m = 4 and y-intercept b = 3 is:

\(y=mx+b\\y=4x+3\)

So, the Equation of line is: \(\mathbf{y=4x+3}\)

Answer:

-1

Step-by-step explanation:

6(x) - (3y + 7) - xy

6(5) - (3(3) + 7) - (5)(3)

30 - (9+7) - 15

30 - 16 - 15

-1

Hope this helps! Pls give brainliest!

Answer:

-1

Step-by-step explanation:

1. replace all the variables with the values it gives you-

6(5) - [ 3(3) + 7] - (5)x(3)

2. then if you combine everything using pemdas-

30 - (9 + 7) - 15

3. repeat step #2-

30 - 16 - 15

4. then solve-

30 - 16 = 14 then subtract 15 to give you -1

Answer: 1

Step-by-step explanation:

Y=570(0.01)^x

Y=a(1+r)^x

Y=570(1+0.01)^x

R=0.01

1% increase

The cost of the jalapeno poppers is $8.87. Let's denote the cost of the jalapeno poppers as "x".

The total cost of the order, including nachos and jalapeno poppers, is $17.95 + x.

The friends each paid $8.94, which is one-third of the total cost. So, we can write the equation:

8.94 = (1/3) * (17.95 + x)

To find the cost of the jalapeno poppers, we can solve this equation for "x".

Multiplying both sides by 3 gives us:

26.82 = 17.95 + x

Subtracting 17.95 from both sides:

x = 26.82 - 17.95

x = 8.87

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The minimum value of z = 4x + 5y subject to the given constraints, can be found to be 0.

The problem is to minimize the function z = 4x + 5y, subject to the constraints:

2x + y ≤ 6

x ≥ 0

y > 0

x + y ≤ 6

For 2x + y ≤ 6, the line would intersect the y-axis at (0,6) and the x-axis at (3,0).

For x ≥ 0, all feasible solutions are on or to the right of the y-axis.

For y > 0, all feasible solutions are above the x-axis.

For x + y ≤ 6, the line would intersect the y-axis at (0,6) and the x-axis at (6,0).

Calculate the z-value (the objective function) at each corner point of this feasible region. The corner points are (0,0), (0,6), and (3,0).

For (0,0), z = 40 + 50 = 0.

For (0,6), z = 40 + 56 = 30.

For (3,0), z = 43 + 50 = 12.

The smallest z-value is 0 at the point (0,0).

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