Pamela's age is two times jiris age the sum of their ages is 18 what age is jiris age

Answer:

1.3 is the common difference.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If you divide all the sides of the larger triangle by 3, it's equivalent to the sides of the smaller triangle. Therefore, they are similar.

Answer:

0.02degrees

Step-by-step explanation:

Given the following

Length of the river (adjacent) = 1352km = 1352000m

Height of the source (opposite) = 453m

Required

angle of elevation theta

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan theta = 453/1352000

tan theta = 0.0003351

theta = arctan(0.0003351)

theta = 0.02 degrees

Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth

Answer:

\(\sqrt{4}, \ \sqrt{9} \text{ are rational numbers.}\)

Step-by-step explanation:

Hello,

\(\sqrt{n^2}=n \ for \ n\geq 0\\\\\text{For instance}\\\\\sqrt{2^2}=2=\sqrt{4}\\\\\sqrt{3^2}=3=\sqrt{9}\)

Answer:

x = -3

Step-by-step explanation:

2(4x + 6) = 8x + 12

3(x - 1) = 3x -3

8x + 12 = 3x - 3

5x = -15

x = -3

Answer:

x=-3

Step-by-step explanation:

2(4x+6)=3(x-1)

8x+12=3(x-1)

8x-3x+12= -3

8x-3x=-3-12

5x=-3-12

5x=-15

x=-3

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1

V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

Learn more on volume of a solid obtained by rotating curve here;

https://brainly.com/question/32301706

#SPJ1

Answer: D

Step-by-step explanation:

To determine which ordered pair is a solution to the inequality, we can substitute the values of x and y into the inequality and check if it is true.

Let's start with ordered pair A (80, 6):

1/4x ≤ 7/3y + 2

1/4(80) ≤ 7/3(6) + 2

20 ≤ 14 + 2

20 ≤ 16

This is not true, so ordered pair A is not a solution to the inequality.

Now let's try ordered pair B (48, 9):

1/4x ≤ 7/3y + 2

1/4(48) ≤ 7/3(9) + 2

12 ≤ 21 + 2

12 ≤ 23

This is also not true, so ordered pair B is not a solution to the inequality.

Next, let's try ordered pair C (40, 3):

1/4x ≤ 7/3y + 2

1/4(40) ≤ 7/3(3) + 2

10 ≤ 7 + 2

10 ≤ 9

This is false, so option C is not a solution to the inequality.

Finally, we have option D: (2, -6)

1/4(2) ≤ 7/3(-6) + 2

1/2 ≤ -14 + 2

1/2 ≤ -12

This is true, so option D is a solution to the inequality.

Therefore, the answer is D: (2, -6).

Answer:

By finding the differences between dependent values, you can determine the degree of the model for data given as ordered pairs. If the first difference is the same value, the model will be linear. If the second difference is the same value, the model will be quadratic.

The 95% confidence interval for the proportion of all welders who graduated from a registered welding course will be (0.433, 0.767)

Based on the information given, it should be noted that the finite population correction factor will be:

= ✓(300-30)/✓(300-1)

= 0.950

p = 18/30 = 0.6

Margin of error = 1.960 × 0.0084995

= 0.166589

95% confidence interval at lower limit:

= 0.6 - 0.166589 = 0.433

95% confidence interval at higher limit:

= 0.6 + 0.166589 = 0.767

Learn more about confidence interval on:

brainly.com/question/20309162

#SPJ1

Answer:

Step-by-step explanation:

45 out of 100

Answer:

C.  y=-(2)^x + 3

Answer:

\(\bold{f(x) = 375(2.5)^{-x}+ 33}\)

Step-by-step explanation:

An exponential function of form f(x) = ba^(-x) + c has a horizontal asymptote of y = c as x approaches infinity, and a y-intercept of (0, b + c). We can use the given information to set up a system of equations and solve for the unknowns.

The horizontal asymptote is given as y = 33, so we have:

c = 33

The y-intercept is given as (0, 408), so we have:

b + c = 408

Substituting c = 33, we get:

b + 33 = 408

b = 375

So the function we're looking for is of the form:

\(\bold{f(x) = 375a^{-x}+ 33}\)

To find a, we use the fact that the function passes through P(2, 93):

93 = 375a^(-2) + 33

60 = 375a^(-2)

a^2 = 375/60

a^2 = 6.25

a = \(\sqrt{6.25 } =2.5\)

Therefore, the exponential function that satisfies the given conditions is:

\(\bold{f(x) = 375(2.5)^{-x}+ 33}\)

Refer to the attachment for the required table:

What is the unit rate?

A unit rate is a cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

From the table,

For 0 hours, distance = 15 miles

For 1 hour, distance = 80 miles

Difference between distances= 80-15=65 miles

Since it is given that, it is at a constant rate,  for every hour there is an increase of 65 miles in distance.

The completed table is shown in the attachment.

To learn more about the unit rate from the given link

https://brainly.com/question/4895463

#SPJ1

I'm sorry, but you haven't provided enough information to determine the ratio of red ribbon to total. Please provide more details.

Answer:

95 is the answer I took the test

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

for such more question on ortho-center

https://brainly.com/question/7552525

#SPJ8

There are no solutions to the system of inequalities Option (d)

Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.

A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is

y > 3x + 1

y < 3x - 3

The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.

The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.

Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.

To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.

When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.

There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.

To know more about Inequalities here

https://brainly.com/question/28823603

#SPJ1

Complete Question :

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Options:

a)Only values that satisfy y > 3x + 1 are solutions.

b)Only values that satisfy y < 3x – 3 are solutions.

c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.

d)There are no solutions.

Answer:

D

Step-by-step explanation:

Answer: Let the total number of students in the class be x.

Then the number of boys in the class is 60% of x, or 0.6x.

And the number of girls in the class is 16.

We can write an equation based on the information given:

0.6x + 16 = x

Solving for x:

0.4x = 16

x = 40

Therefore, there are 0.6x = 24 boys in the class.

Step-by-step explanation:

Step-by-step explanation:

Is it helpful ?

plz let me know

supplementary angles add to 180°

Therefore,

The answer is C.

Enola needs to contribute $4,330.68 per month to the account.

Let's denote the monthly contribution as X.

The interest rate is 0.4% per month.

Since Enola plans to save for 3 years, the total number of months is:

= 3 * 12

= 36 months.

Using formula for compound interest: Future value = Present value * (1 + interest rate)^number of periods

We will plug values:

$5,000 = X * (1 + 0.004)^36

X = $5,000 / (1 + 0.004)^36

X = $5,000 / (1.004)^36

X = $4,330.68248

X = $4,330.68.

Answer:

1) \(z=\frac{0.07 -0.06}{\sqrt{\frac{0.06(1-0.06)}{300}}}=0.729\)  

We can calculate the p value with the following formula:

\(p_v =2*P(z>0.729)=0.466\)  

The p value for this case is very high and using the significance level of 0.01 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the statment makes sense.

2) \(n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}\)   (b)  

And replacing into equation (b) the values from part a we got:

\(n=\frac{0.06(1-0.06)}{(\frac{0.01}{1.96})^2}=2166.66\)  

And rounded up we have that n=2167

Step-by-step explanation:

Information given

n=300 represent the random sample taken

X=21 represent the number of peanuts empty  

\(\hat p=\frac{21}{300}=0.07\) estimated proportion of peanust empty

\(p_o=0.06\) is the value to test

\(\alpha=0.05\) represent the significance level

z would represent the statistic

\(p_v\) represent the p value

Part 1

We want to test if the true proportion is 6% or no the system of hypothesis are:  

Null hypothesis:\(p=0.06\)  

Alternative hypothesis:\(p \neq 0.06\)  

The statistic is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing the info given we got:

\(z=\frac{0.07 -0.06}{\sqrt{\frac{0.06(1-0.06)}{300}}}=0.729\)  

We can calculate the p value with the following formula:

\(p_v =2*P(z>0.729)=0.466\)  

The p value for this case is very high and using the significance level of 0.01 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the statment makes sense.

Part 2

The margin of error for the proportion interval is given by this formula:  

\( ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\)    (a)  

And on this case we have that \(ME =\pm 0.01\) and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

\(n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}\)   (b)  

And replacing into equation (b) the values from part a we got:

\(n=\frac{0.06(1-0.06)}{(\frac{0.01}{1.96})^2}=2166.66\)  

And rounded up we have that n=2167

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

Did you want me to simplify the expression???

Step-by-step explanation:

3f+5b+3d+8

Answer:

The drama club needs to sell 17 tickets.

Step-by-step explanation:

a) Data and Calculations:

Ticket charge per person = $6

Cost of props = $85

Expected revenue = $100

To make $100 from the sale, the club needs to sell 16.67 tickets ($100/$6), which is equivalent to 17 tickets.

b) In other words, the drama club, after selling about 17 tickets at $6 per person, will be able to make appropriately $100 or precisely $102 (17 * $6).  This will also cover the cost of the props at $85 and make a little profit of $17.

Answer:

x = 4 and y = 15

Step-by-step explanation:

Opposite sides of parallelogram are equal

Opposite sides of parallelogram are equaltherefore,

13x + 15 = 19x - 9

15or 15 + 9 = 19x - 13x

or 24 = 6x

or 24÷6 = X = 4

adjacent angles = 180°

therefore,

(10y - 37) + (4y + 7) = 180

or 10y - 37 + 4y + 7 = 180

or 14y = 180 + 37 - 7

or 14y = 210

or y = 210 ÷ 14

or. y = 15

The given set is (3, 4, 5, ...} is infinite set.

A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.

The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.

Learn more about infinite here

https://brainly.com/question/3928632

#SPJ9

Answer:

Another way to write the expression 3√12 is 6√3.

Given the expression 3√12.

First, we rewrite 12 as 2²×3

3√12 = 3√( 2² × 3 )

Next, we pull terms out from under the radical.

3√12 = 3√( 2² × 3 ) = 3 × (2√ 3 )

Next, we multiply 3 and 2

3 × (2√ 3 ) = 6√3

Therefore, another way to write the expression 3√12 is 6√3.

Learn more about square roots here: https://brainly.com/question/3120622

#SPJ9

Answer:

y-10

Step-by-step explanation: