Find the x-coordinate of point P, that lies 1/4 along segment AB, closer to A where A(-2, 5) and B(4, 9)

Answer:

it is the answer number 1

Given: 9 pie is ordered and the cost before tax is 8#.25

To Determine: The unknown digits and the cost of each pizza

To achieve this, we would use the divisibility test for 9

The divisibilty test state that sum all the digit. it must be divisible by 9. Therefore

For that to be divisible by 9, then

Hence, the unknown digit is 3

The price of a pizza is

Hence, each pizza cost $9.25

BC is the bisector of angle ABA' , using the congruency of the triangle of symmetrical reflected image.

As given in the question,

Diagram is attached.

Triangle A'B'C' is the reflection of triangle ABC across BC.

Bisector of any angle represents that line or ray divide the given angle into two equal halves.

A'B'C' is the reflection of triangle ABC represents it is symmetrical image of the ABC.

This implies all the angles and sides of reflected triangle are congruent to the original figure.

⇒ m ∠ABC = m ∠A'BC

⇒BC is the bisector of the angle A'BA.

Therefore, the ray BC is the bisector of angle A'BA in the given triangle.

The above question is incomplete , the complete question is:

Making angle bisectors triangle is a reflection of triangle across line . Prove that ray is the angle bisector of angle .

Diagram is attached.

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Answer:

-2

Step-by-step explanation:

Anything behind the 0 is negative. Anything in front of the 0 is positive.

-2.  Notice 10 spaces with a value of 10.  This means increments of 1.

Count backwards 1 from 0 twice to get to that arrow.

Numbers left of 0 are negative.

-2

Hope this helps,

Jeron

:- )

(p.s., maybe brainliest if I really helped??  :))))    )

Answer:

Step-by-step explanation:

a) 1.8 kg in grams is 1800 g

b) If 6 toys weigh 1800g; then 1 toy weighs 300 g(6:1)

c) If 1 toy weighs 300 g, 4 toys weigh 1200 g and you convert in kg which is 1.2 kg

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

I'm not sure but I think it's 7

Step-by-step explanation:

28×2= 8x

8÷56=8x÷8

7=x

\(4 + 20 = 8d \\ \\ 8d = 24 \\ \\ d = \frac{24}{8} \\ \\ d = 3.\)

The value of d is 3 .

Answer:

Step-by-step explanation:

A number line going from negative 8 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative 3.5 is plotted on the mark 1 space to the left of 4.

A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.

A number line going from negative 10 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 7 Over 2 EndFraction is plotted on the mark labeled negative 6.

A number line going from negative 2 to positive 8 in increments of 2. StartFraction 9 Over 2 EndFraction is plotted on the mark 1 space to the left of 4.

Answer:

B

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

The interest rate that was calculated using the data that we have here is 1 %

The formula for simple interest is:

I = Prt

Where:

I = interest earned

P = principal (initial amount deposited)

r = interest rate (expressed as a decimal)

t = time (in years)

Given that Sidney deposited $60,000 in a savings account and earned $1,200 in interest after 2 years, we can plug these values into the formula:

1200 = 60000 * r * 2 years

1200 = 120000 r

divide through by 120000

1200 / 120000 = r

r = 0.01

= 1 %

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To describe the temperatures for the week, we can apply the following statistical tools:

a) Find the mean, median, mode, and range.

c) Construct a line graph.

d) Construct a stem and leaf plot.

We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).

The mean temperature is the average, which shows the overall trend in temperature changes.  It is computed by adding up the temperatures for the period and diving by the number of data values.

In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.

We can estimate the difference between the highest and lowest temperature for the week with the range.

A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.

Thus, we can use Options A, C, and D to describe the temperature.

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What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)

Mon - 65°

Tues - 67°

Wed - 66°

Thur - 70°

Fri - 72°

Sat - 68°

Sun - 69°

a) Find the mean, median, mode, and range.

b) Survey people about the weather.

c) Construct a line graph.

d) Construct a stem-and-leaf plot.

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

the answer is 848500 centimetres

Step-by-step explanation:

we have to multiply the value by 100.

hope it helps.

Answer:

848500 cm

Step-by-step explanation:

\(1 \:cm =0.01 \:m\\x\: cm = 8485 \: m\\\\\frac{8485}{0.01} \\\\= 848500\)

Answer:

C= -5

D = 7

Step-by-step explanation:

\( - 3 < x < 3 \\ \\ - 6 < 2x < 6 \\ \\ - 6 + 1 < 2x + 1 < 6 + 1 \\ \\ - 5 < 2x + 1 < 7\)

Student A's strategy of reading a consistent number of pages each day will enable them to finish the book in 20 days.

On the other hand, Student B's strategy of gradually increasing the number of pages read each day will result in a longer duration to complete the book.

Student A plans to read a consistent 25 pages each day, while Student B plans to start with 2 pages and increase the number of pages read by 50% each day after the first day.

Let's analyze the outcome of these two strategies.

For Student A:

Since the book has 500 pages and Student A reads 25 pages per day, the total number of days required to finish the book can be calculated as:

Total days = 500 pages / 25 pages per day = 20 days

Therefore, Student A will finish reading the book in 20 days by consistently reading 25 pages each day.

For Student B:

On the first day, Student B reads 2 pages.

From the second day onward, the number of pages read increases by 50% each day.

Let's see the pattern:

Day 2: 2 pages

+ 50% (2 pages) = 3 pages

Day 3: 3 pages + 50% (3 pages) = 4.5 pages

Day 4: 4.5 pages + 50% (4.5 pages) = 6.75 pages

We can observe that the number of pages read increases each day but with diminishing increments due to the 50% increase.

As a result, Student B will take longer to read the book compared to Student A.

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1) the quadratic function for the total area is: y = 43.2x - 3x²

2) the maximum area is 83.52 m², which occurs when x = 7.2. The dimensions of each pen at maximum area are 4.8 m by 14.4 m.

A quadratic function is a function of the form f(x) = ax² + bx + c, where a, b, and c are constants.

So, we can start by setting up an equation for the perimeter of the three rectangular pens, using the given information that there is enough material to make 24 m of fencing:

2x + 3d = 24

We are also told that the height of all three pens is the same, so we can substitute d = x to get:

2x + 3x = 24

Simplifying, we get:

5x = 24

x = 4.8

Now we can substitute x = 4.8 into the equation for the perimeter to find the height:

2(4.8) + 3d = 24

3d = 14.4

d = 4.8

So each pen has dimensions 4.8 m by 4.8 m.

To find the quadratic function for the area, we can use the fact that the area of a rectangle is given by:

A = lw

where l and w are the length and width of the rectangle, respectively. In this case, the length of each pen is 3d = 14.4, and the width is x. So the area of each pen is:

A = 14.4x - x²

The total area of the three pens is three times this value, so the quadratic function for the total area is:

y = 43.2x - 3x²

2)

To complete the square, we can rewrite this as:

y = -3(x² - 14.4x + 24)

y = -3(x² - 14.4x + 51.84 - 51.84 + 24)

y = -3((x - 7.2)² - 27.84)

y = -3(x - 7.2)² + 83.52

So the maximum area is 83.52 m², which occurs when x = 7.2. The dimensions of each pen at maximum area are 4.8 m by 14.4 m.


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Answer:

about like 8 /10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

-50 + -50

only negative...sorry.

The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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Answer:

13:7

Step-by-step explanation:

No. of band members= 130

No.of baseball players= 70

Ratio of band members to baseball players

= 130:70

= 13:7

Answer:

Decreases

Step-by-step explanation:

Answer:

decreases

Step-by-step explanation:

I just did the assignment!

Answer:

79.5

Step-by-step explanation:

Answer:

Decreasing from 0 to infinity.

Step-by-step explanation:

Write the function:

\(h(x)=-5\sqrt{x}\)

If you look and analyze the function, we already can tell that it doesn't admit negative numbers, because you can't take the square root of a negative number. Theferore, all the options that go from -∞ to 0 are not correct, because the function doesn't even generate values in that interval.

Then, to see of the function increases or decreases from 0 to ∞, just evaluate the function, at least 3 times, to see where the values of y go.

Let's take 3 arbitrary values for this:

\(h(0)=-5\sqrt{0} =0\\\\h(0)=-5\sqrt{49} =-35\\\\h(0)=-5\sqrt{15000} =-612.372\\\)

With these values, we can clearly tell that the function is decreasing from 0 to infinity.

A more analytic way to determine this would be by finding the average rate of change of the function on an interval that goes from 0 to any number but infinity.

Average rate of change formula: \(A(x)=\frac{h(b)-h(a)}{b-a}\)

Take arbitrary values and substitute the function:

\(A(x)=\frac{h(50)-h(5)}{50-5}\\\\A(x)=\frac{-35.35-(-11.18)}{45}\\\\A(x)=\frac{-35.35+11.18}{45}\\\\A(x)=\frac{-24.17}{45}\\\\A(x)= -0.5364\)

The result is -0.5364, this means that the average change or the function from x=5 to x=50 is negative, and this indicates that the function is decreasing.

Answer:

The function is decreasing on the interval (0, ∞).

Step-by-step explanation:

Definitions

Given function:

\(h(x)=-5\sqrt{x}\)

The parent function of the given function is:

\(y = \sqrt{x}\)

As we cannot square root a negative number, the parent function has a restricted domain of [0, ∞).  

As  \(\sqrt{x}\geq 0\)  the parent function is increasing on the interval (0, ∞).

Transformations

\(y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a\)

\(y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}\)

Therefore, the parent function has been stretched vertically by a factor of 5 and reflected in the x-axis to become function h(x).

Therefore, the domain remains the same.  

The stretch does not affect the increasing/decreasing nature of the function, but as the function is reflected in the x-axis, it is now decreasing on the interval (0, ∞).

They are known as the two types of first is null hypothesis and the second is alternative hypothesis. These two hypotheses bear opposite viewpoints.

H0: also known as null hypothesis: It is a statement about the population that either is taken to be true or is used to put forth an argument until it can be shown to be incorrect behind a reasonable doubt.

Ha: also known as the alternative hypothesis: It is a state about the population that is contradictory to H0 and what we conclude when we reject H0.

H0 every time has a symbol with an equal in it. It never has a symbol with an equal in it. The option of the symbol depends on the wording of the hypothesis test.

Yet, be aware that many researchers use = in the null hypothesis, even with > (greater) or < (less) as the symbol in the alternative hypothesis.

We can accept this practice because we only decide to reject or not reject the null hypothesis.

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Answer:

\(m = \frac{2}{3}\)

Step-by-step explanation:

Use the following equation:

slope \((m) = \frac{y^2 - y^1}{x^2 - x^1}\)

Set the variables with the points:

\((x_1 , y_1) = (-16 , -6)\\(x_2 , y_2) = (-4 , 2)\\\)

Plug in the corresponding numbers to the corresponding variables in the equation:

\(m = \frac{2 - (-6)}{-4 - (-16)}\)

\(m = \frac{2 - (-6)}{- 4 - (-16)} = \frac{2 + 6}{16 - 4} = \frac{8}{12}\)

slope \(m = \frac{8}{12}\) \(= \frac{2}{3}\)  (simplified)

~

Answer:

2/3

Step-by-step explanation:

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height