Line 1- Calculate the distance AX across the canyon.Line 2- Calculate the distance RT across the pond.

Kiet will make his another observation at every multiples of 6 until it reaches at 60 which is at 2 : 00 pm.

Given that,

Kiet needs to observe a science experiment every 6 minutes for one hour.

He makes his first observation at 1:00 p.m.

Now he needs to make the observation every 6 minutes.

This means that his second observation will be at 1:06 pm.

Third observation will be at 1:12 pm.

Fourth will be at 1:18 pm.

It goes on like this for every multiples of 6.

His last observation will be at 2:00 pm which is at the 60th minute after 1.

Hence Kiet will make his observations at every multiples of 6 until it reaches 60.

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Answer:

2 (option B)

Question:

Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.

How many numbers should he have listed?

a) 9 b) 2 c)18 d) 20

Step-by-step explanation:

We would find the perfect squares that are two digit numbers

For two digit perfect squares:

Largest two digit number= 81 = 9²

Smallest two digit number= 16 = 4²

Total Two digit number perfect squares = Highest number - lowest number + 1

= 9-4+1 = 6

There are 6 two digit perfect squares

Next, we have to find how many of them have 6 in their units place.

The rule to be applied: If a number has 4 or 6 in the unit place, then its square has 6 in the units place.

Following this, the possibilities are 4², 6².

We have two of such numbers.

Therefore, he would have listed 2 numbers.

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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Answer:

no lo seee jajajajjaja x

ytgddd no so

Step-by-step explanation:

Answer:

The second circle graph, labeled "New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent" correctly represents the data in the table.

Step-by-step explanation:

The correct circle graph would have five sections labeled walk, bicycle, car service, bus, and subway, with each section representing the percentage of visitors who used that mode of transportation.

To find the percentage for each mode of transportation, we need to calculate the total number of visitors:

Total number of visitors = 120 + 24 + 45 + 30 + 81 = 300

Now we can calculate the percentage of visitors for each mode of transportation:

Walk: 120/300 x 100% = 40%

Bicycle: 24/300 x 100% = 8%

Car Service: 45/300 x 100% = 15%

Bus: 30/300 x 100% = 10%

Subway: 81/300 x 100% = 27%

Therefore, the correct circle graph would have the following sections and percentages:

Walk: 40%

Bicycle: 8%

Car Service: 15%

Bus: 10%

Subway: 27%

Answer: New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent

Step-by-step explanation: i jus did it

Answer:

A line which is parallel to the y-axis has form of x = a

This line passes (77, 88), then a = 77

=> The equation of this line: x = 77

Hope this helps!

:)

Answer:

By using opposite angles of two intersecting straight lines are congruent we proved that x = 28°

Step-by-step explanation:

Opposite angles of two intersecting straight lines are congruent

Therefore ∠DLE = ∠GLH

Here ∠DLE = 2x = ∠GLH

Sum of all angles on a straight line is 180°

Therefore ∠ELG + ∠GLH = 180°

Given that ∠ELG = 124°

124° + ∠GLH = 180°

124° + 2x  = 180°

2x = 180° -  124°

2x = 56°

x = 28°

hence proved that x = 28°

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Answer:  

To express the deaths per capita as a decimal, we can divide the number of new construction accidents (deaths) by the population:

4172/11300000 = 0.00037

Rounded to 6 decimal places, the deaths per capita as a decimal is 0.00037

To express the deaths per capita in scientific notation, we can use the decimal value found above and convert it to scientific notation:

3.7 x 10^-4

To express the deaths per capita as a per 100,000 value, we can multiply the decimal value by 100,000:

0.00037 * 100,000 = 37

So the deaths per capita are 37 deaths per 100,000 people.

Step-by-step explanation:

Answer:

We have:

f(x) = 14*(5)^x

And we want to write this in the form:

g(x) = A*e^(k*x)

We want to have f(x) = g(x)

This is ratter easy.

The general case is:

A*(r)^x = B*e^(k*x)

Here we have:

A = B

Then:

(r)^x = e^(k*x)

Now we can remember the relation:

(a^x)^y = a^(x*y)

Then we can write:

e^(k*x) = (e^k)^x

Then we have:

(r)^x = (e^k)^x

Then we must have:

r = e^k

Now let's go to our case:

14*(5)^x = A*e^(k*x) = A*(e^k)^x

Then we have:

14 = A

5 = (e^k)

With this equation we can find the value of k.

ln(5) = ln(e^k) = k

ln(5) = k

Then the equation g(x) is:

g(x) = 14*e^(ln(5)*x)

Answer:

A0=14 k +ln9

Step-by-step explanation:

To rewrite the model with the base e, we use the fact that for all b>0,

b=eln(b)

Using this property, and then the power property of logarithms, on 9x, we find that

(9)x=eln(9x)=exln(9)=e(ln(9))x

So we find that

14(9)x=14eln(9)x

So A0=14 and k=ln(9).

Hey!!

Solution,

5+2(3+2x)=x+3(X+1)

or,5+6+4x=X+3x+3

or,4x-x-3x=-5-6+3

or,3x-3x=-5+3-6

or,3x-3x=-2-6

or,3x-3x=-8

Hope it helps

Good luck on your assignment

Answer:

\(4x - 4x = - 8\)

Step-by-step explanation:

\(5 + 2(3 + 2x) = x + 3(x + 1) \\ 5 + 6 + 4x = x + 3x + 3 \\ 11 + 4x = 4x + 3 \\ 4x - 4x = - 11 + 3 \\ 4x - 4x = - 8\)

It doesn't have any solution.

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x = 16

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

x/2 - 3 = 5

x/2 = 5+3

x/2 = 8

x = 8×2

x = 16

Answer:

B

Step-by-step explanation:

14t +22m+100

There's no number of hours

The expression of Jay earned in total is;

14m + 22t + 100

Here,

On Monday, Jay earned $14 per hour for m of hour.

On Thursday, Jay earned $22 per hour for t hour of work.

He also got a $100 bonus.

We have to find the expression of Jay earned in total.

What is Mathematical expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Now,

On Monday,  Jay earned $14 per hour for m of hour.

Total earned on Monday = $14m

On Tuesday, Jay earned $22 per hour for t hour of work.

Total earned on Tuesday = $22t

He also got a $100 bonus.

Hence, Total earned = 14m + 22t + 100

So, The expression of Jay earned in total is;

⇒ 14m + 22t + 100

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Answer: 2.88/1

Step-by-step explanation:

The sequence of transformations that maps ∆ABC to ∆A'B'C' include the following: D. (T(0, -4) о r(90°, 0)(∆ABC)

In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle ABC (∆ABC), the coordinates of the vertices of the image (∆A′B′C′) are as follows:

(x, y)                               →            (-y, x)

Ordered pair A  = (5, 5) → Ordered pair A' = (-5, 5)

Ordered pair B = (1, 3) → Ordered pair B' = (-3, 1)

Ordered pair C = (2, 1) → Ordered pair C' = (-1, 2)

Next, we would translate the vertices of the image (∆A′B′C′) 0 units to the right and 4 units downward as follows;

Ordered pair A' = (-5, 5) → (-5 + 0, 5 - 4) = (-5, 1)

Ordered pair B' = (-3, 1) → (-3 + 0, 1 - 4) = (-3, -3)

Ordered pair C' = (-1, 2) → (-1 + 0, 2 - 4) = (-1, -2)

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Image of coordinate A about x axis is A’=(-1,-4)

Image of coordinate B about x axis is B’=(-5,-8)

Image of coordinate C about x axis is C’=(-5,-4)

Image of coordinate D about x axis is D’=(-4,-2)

Reflection, in mathematics and geometry, is a transformation that produces a mirror image of a shape or object across a line or a plane. The line or plane across which the reflection occurs is called the line of reflection or the mirror line.

Reflected across the x axis(x,y)=(x,-y)

Coordinate of A=(-1,4)

Image of coordinate A about x axis is A’=(-1,-4)

Coordinate of B=(-5,8)

Image of coordinate B about x axis is B’=(-5,-8)

Coordinate of C=(-5,4)

Image of coordinate C about x axis is C’=(-5,-4)

Coordinate of D=(-4,2)

Image of coordinate D about x axis is D’=(-4,-2)

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Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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Answer:

\(the \: unit \: rate \: is \: \frac{27 \: pre \:}{1 .5\: hr} = 18 \frac{presents}{hour} \)

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

They are collinear if they are on the same line

Answer:

D) Close to 4

Step-by-step explanation:

Round both numbers and multiply them.

Answer:

√38

Step-by-step explanation:

√38

step 1: Check which squared numbers can be multiplied by another number to get 38.

Start with these numbers: 4, 9, 16, and 25

Step 2: Testing out the numbers

√25 × __ = 25 can't be divided by 38

√16 × ___ = 16 can't be divided by 38

√9 × ____ = 9 can't be divided by 38

√4 × ____= 4 can't be divided by 38

Step 3: Answer

After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38

I hope this helps!

Answer:

\(135^\circ\)

Step-by-step explanation:

Given that, a regular octagon is to be constructed.

To find:

Each angle in the octagon = ?

Solution:

We know that a regular triangle (polygon with 3 sides) has an interior angle of \(60^\circ\).

And a regular quadrilateral (square) has an interior angle of \(90^\circ\).

Therefore, formula for interior angle of a regular polygon with \(n\) number of sides can be given as:

\(\dfrac{n-2}{n}\times 180^\circ\)

For an octagon, we have \(n=8\).

Value of Interior angle in a regular octagon:

\(\dfrac{8-2}{8}\times 180^\circ=\dfrac{6}{8}\times 180^\circ=\bold{135^\circ}\)

Kindly refer to the attached image for the angle of \(135^\circ\)

Answer:

$56

Step-by-step explanation:

cost of 8 packages of clay = $ 32

cost of 1 package of clay = 32 / 8 = $4

cost of 14 packages = 14*4 = $ 56

The decimal that represents the expression is 6.34

The statement is given as

6 multiple 1+3 multiple 1/10 +4 multiple 1/100

Rewrite properly as

6 x 1 + 3 x 1/10 + 4 x 1/100

Evaluate the products

6 + 3/10 + 4/100

Express as decimals

6 + 0.3 + 0.04

Evaluate the sum

6.34

Hence, the decimal that represents the expression is 6.34

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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Answer:

15.75 * 24 = 378

Step-by-step explanation:

15.75x = 378. We need to first isolate the variable. x = 24. Using this we can make the equation. 15.75 * 24 = 378

The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.

A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.

To create a whisker plot, follow these steps:

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