I
A tree casts a shadow 42 feet long. At the same time, a person 5 feet tall casts a shadow 7 feet
long. What is the height of the tree?
x
11
59 ft
30 ft
5 ft
xft
7ft

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

6

Step-by-step explanation:

Answer:

I think the second one (All samples could result in slightly different sample means.) because not every group you all survey is going to be exactly the same.

Step-by-step explanation:

Since no two groups you survey will be precisely the same, all samples under the given circumstances may yield somewhat different sample means.

With simple random sampling, each component of the population has an equal chance of being selected for the sample.

It is given that 100 people ask 25 randomly selected workers for which we have to find the money they spent on lunch

But unfortunately, the value of the sample means is different.

Hence, no two groups you survey will be precisely the same, all samples under the given circumstances may yield somewhat different sample means.

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Bob had 50 pencils in the beginning.

A fractional number is expressed in the form -

x/y    {where y ≠ 0)

Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.

Assume that he had {x} pencils in the beginning. We can write -

4x/5 + 2/3(x - 4x/5) = 10

4x/5 + 2x/3 - 8x/15 = 10

x(4/5 + 2/3 - 8/15) = 10

x = 10/0.93

x = 50

Therefore, Bob had 50 pencils in the beginning.

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{QUESTION IN ENGLISH -

Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Step-by-step explanation:

I calculated it logically

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Answer:-39

Step-by-step explanation:

The first thing is to open the bracket.

By doing that, the question becomes -37-2.

note that plus×minus=minus.

Hence,-39 as the final answer

A graph of the piecewise function is shown on the coordinate plane in the image attached below.

In Mathematics and Geometry, a piecewise-defined function is a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce the following inequality rules for its domain;

x < 1 represents a hollow dot.

x = 1 represents a solid dot.

x > 1 represents a hollow dot.

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X = 31, Y = 63 satisfy the case of 0 ≤ Y < 100 as an expression.

An algebraic expression in mathematics is an expression that consists of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.

Assume Kaimi was supposed to be paid X dollars Y cents (0 ≤ Y ≤ 100)

But the teller gave him Y dollars X cents.

Thus kaimi has 100Y + X cents.

A nickel is worth 5 cents.

Hence, after buying the piece of candy for a nickel, Kaimi would be left with 100Y + X - 5 cents.

This is twice his paycheck:

⇒ 100Y + X - 5 = 2(100X + Y)

⇒ 100Y + X - 5 = 200X + 2Y

⇒ 98Y - 199X = 5

199 = 98 × 2 + 3 ⇒ 3 = 199 - 98 × 2

98 = 3 × 32 + 2 ⇒ 2 = 98 - 3 × 32

3 = 2 × 1 + 1 ⇒ 1 = 3 - 2 × 1

2 = 1 × 2 + 0 ⇒ ged(199, 98) = 1

1 = 3 - 2 × 1

= 3 - (98 - 3 × 32) × 1                [∵ 2 = 98 - 3 × 32]

= 3 - 98 × 1 + 3 × 32

= 3 × 33 - 98 × 1

= (199 - 98 × 2) × 33 - 98 × 1    [∵ 3 = 199 - 98 × 2]

= 199 × 33 - 98 × 67

⇒ 1 = 199 × 33 - 98 × 67

⇒ 5(1) = 5 (199 × 33 - 98 × 67)

⇒ 5 = 199(165) - 98(335)         [∵ 5 ×33 = 165, 5 × 67 = 335]

⇒ 199(165) - 98(335) = 5

⇒ 98(-335) - 199(-165) = 5

Hence, (X,Y) = (-165, -335) is a solution to 98Y - 199X = 5

But it is required that 0 ≤ Y < 100

Now since it is the difference of two quantities, 98Y and 199X, that is a constant, 5, either both of these quantities will increase simultaneously or both will decrease simultaneously.

Hence, either both X, Y will increase or both, X, Y will decrease.

To bring Y = -335 in the range of 0 ≤ Y < 100, it needs to be increased.

Hence, both X, Y will increase.

X will increase by the absolute value of the coefficient of Y and vice-versa. Hence, X will increase by 98 and Y will increased by 199 to give

(X, Y) = (-165 + 98, -335 +199) = (-67, -136)

Still, it is not the case that 0 ≤ Y < 100

Hence, again X will increase by 98 and Y will increase by 199 to give

(X, Y) = (-67 +98, -136 +199) = (31, 63)

Now, it is the case that 0 ≤ Y = 63 < 100

∴ X = 31, Y = 63

Note that the increasing X again by 98 and Y by 199 will violate

0 ≤ Y < 100. Hence, this is the unique solution.

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Answer:if their corresponding sides are proportional.

Step-by-step explanation:

Answer:

speak english plz

Step-by-step explanation:

By using the formula of area of parallelogram, the area of mosaic tile design = 4x27 = 108cm^2

A parallelogram is a quadrilateral with two pairs of parallel sides. It has four sides and four angles. The opposite sides of a parallelogram are equal in length and parallel to each other. The opposite angles of a parallelogram are also equal in measure.

The area of a parallelogram is given by the formula:

Area = base * height

In the question there are four parallelograms, so for each the area will be

Area = 9 cm * 3 cm = 27 cm^2

for four 27x4 = 108cm^2

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Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

Answer:

Step-by-step explanation:

According to the information provided his final score was -6 or six under par. Without knowing what par is a numerical value can’t be provided.

The linear equation is.

y = -0.4*x + 28

Using that, we can see that a person that spends 10 hours in social media is about 45 years old.

Remember that the general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is given by:

\(a = (y_1 - y_2)/(x_1 - x_2)\)

In this case we have the two points:

(50, 8) and (20, 20)

Where the first value is the age and the second is the time they spend on social media.

Using these values, we can get the slope:

\(a = (20 - 8)/(20 - 50) = 12/-30 = -0.4\)

Then the line is something like:

y = -0.4*x + b

To find the value of b we can evaluate the point (20, 20), this gives:

20 = -0.4*20 + b

20 + 0.4*20  = b

28 = b

Then the linear equation that models this situation is:

y = -0.4*x + 28

Using this, the age of a person who spends 10 hours per week in social media is given by solving:

10 = -0.4*x + 28

(10 - 28)/-0.4 = x

45 = x

So a person that spends 10 hours in social media is about 45 years old.

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Answer:

14

Step-by-step explanation:

3(4)+2=

12+2=

14

Answer:

595.

Step-by-step explanation:

Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.

1st Piece of Equipment = $595

2nd Piece of Equipment = $1,405

2nd Piece is $810 more expensive and the two pieces combined is $2,000.

The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

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The critical points of the given inequality are; x=-6 and x=2

1) When the denominator is equal to zero, at that point, we will have a critical point.

We are given the inequality;

(2x + 5)/(x - 2) ≥ (x - 1)/(x - 2)

Thus, x - 2 = 0

x = 2.

Thus, x = 2 is a critical point

2) Simplify the numerator to get the expression such that p(x) ≥ 0 or p(x) ≤ 0.

Thus, at p(x) = zero, we have other critical point(s)

Multiply both sides by (x - 2) to get;

2x + 5 = x - 1

2x - x = - 1 - 5

x = - 6

Then, the two critical points are x = 2 and x = - 6.

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Answer:

y=3/2x+2

Step-by-step explanation:

Slope is 3/2, y intercept is 2

Answer:

y = 3/2x + 1

Step-by-step explanation:

I found 2 coordinates: (0, 1) and (2, 4)

Step 1: Find slope

(4 - 1)/(2 - 0) = 3/2 = m

Step 2: Find b

Since you already have the y-intercept at 1, you now write out your entire equation

y = 3/2x + 1

And we have our final answer!

You have the following expression:

(5x - 6.9)(2x + 12.2)

use the distribution property in the previous factors:

(5x - 6.9)(2x + 12.2) =

5x(2x) + 5x(12.2) - 6.9(2x) - 6.9(12.2) =

10x² + 61x - 13.8x - 84.18 =

10x² + 47.2 - 84.18

Hence, the simplfied expression is 10x² + 47.2 - 84.18

Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.

Answer:

A=8

b=15

c=40

Step-by-step explanation:

5/8 as well as 10/16 = .625

a=8 blocks for 5 min given in question

b:24*0.625=15

c:25*40=.625 or 8 * 5=40 , since 5×5=25 taking 1st column times 5

Answer: 13, remainder : 3

Step-by-step explanation:

The quotient and remainder of 55 divided by 4 are 13 and 3 respectively.

We have to given that,

To find the quotient and remainder of 55 divided by 4.

We can divide it,

⇒ 55 ÷ 4

4 ) 55 ( 13

  - 4

 -------

    15

  - 12

 ---------

       3

Hence, We get;

After divide,

Quotient = 13

Remainder = 3

Therefore, the quotient and remainder of 55 divided by 4 are 13 and 3 respectively.

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Answer:

b=4 m=2

Step-by-step explanation

Answer:

tara is 59 inches tall

Step-by-step explanation:

math

Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

SOLUTION

Write out the expression

Recall that

Replace into the expression above

Hence

Therefore

The first option is Right