If the value of x must be an integer, what is the length of the left side of the large triangle?

The number that has the same value as 14 tens is 140.

In the given question we have to find the number that has the same value as 14 tens.

As we know that we count the numbers as ones, tens, hundreds and so on.

Place value labels like tens and ones notify us of a number appears digit's value. More than one digit can be used to create a number. As a result, to better understand the value of each digit, we employ place value labels such as ones, tens, hundreds, and thousands.

So in the ones place having 0 and in tens have 14.

So if we write the number that has the same value as 14 tens, then the number is 140.

Hence, the number that has the same value as 14 tens is 140.

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Answer:

a(1,4)

Step-by-step explanation:

This is the point where the two lines meet.  When x = 1 and y = 4

(1,4)

Answer:

Many tessellations are formed from a finite number of prototiles in which all tiles in the tessellation are congruent to the given prototiles. If a geometric shape can be used as a prototile to create a tessellation, the shape is said to tessellate or tile the

Step-by-step explanation:

A competition in which at least three participants from the same sport or game compete is known as a tournament.

Explain about the tournament?

Tournaments, also known as tourneies, were a series of military drills that were restricted to western Europe during the Middle Ages and probably originated in France.

A tournament is a match in which there are at least three competitors who are all taking part in the same sport or game. The phrase can be used in one of two overlapping senses, which are further defined as follows: a competition or series of competitions staged at a single location over a brief period of time. Announcing a single winner among the contestants. playing strength is used to rank the players.

A tournament is a series of sporting contests in which champions advance to the next round of play until only one competitor or team is left.

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The length of the shadow is 8. 06m

The Pythagorean theorem states that the square root of the hypotenuse is equal to the sum of the squares of the other two sides

This is expressed as;

a² = b² + c²

Where;

33² = 32² + c²

1089 = 1024 + c²

collect like terms

c² = 1089 - 1024

c² = 65

Find the square root

c = √65

c = 8. 06m

Hence, the value is 8. 06m

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The common denominator of 1/a + 1/b in the complex fraction (1/a - 1/b) / (1/a + 1/b) is ab

The given complex fraction is

(1/a - 1/b) / (1/a + 1/b)

The complex fraction is defined as the fraction that consisting fraction on the numerator or denominator or both. The top term is called numerator and the bottom term is called denominator

Here the given complex fraction is

(1/a - 1/b) / (1/a + 1/b)

Cross multiply the terms of the complex fraction

(b - a) / ab / (b + a) / ab

The denominator of the complex fraction became equal

Hence, the common denominator is ab

I have answered the question is general, as the given question is incomplete.

The complete question is:

What is the common denominator of 1/a + 1/b in the complex fraction (1/a - 1/b)/(1/a + 1/b)?

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The amount of lavender oil y is proportional to the amount of jojoba oil x

Two quantities are said to be linearly proportionate if change in one quantity produce proportionate amount of change in the other quantity, or the ratio of the two quantities is fixed.

Given,

In the first case, 20 drops of lavender oil and 8 teaspoons of jojoba oil.

In second case, 50 drops of lavender and 20 teaspoons of jojoba oil.

Ratio in first case:

x:y  =  20:8

      = 5:2

Ratio in second case:

x:y  =  50:20

      = 5:2

Since ratio is fixed in both the cases, the amount of lavender oil y is proportional to the amount of jojoba oil x.

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a. The motion of the bus in each part is given as follows:

b. The graph is classified as follows:

c. The graph is non-linear.

The relation graphed is defined as follows:

Distance x time -> distance as a function of time.

The origin on the graph is the point that the Bus starts and then returns, at the end of the part 5.

Then the graph is also non-linear, as the position changes without linearity, meaning that the acceleration is not uniform.

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A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation.

1000 (-4.451) is - 4451, -0.2x(-2.4) is  - 0.48x

Given,

1000 (-4.451)

Simplify,

= - 1000 × 4.451

Then we get,

=  - 4451

-0.2x(-2.4)

Simplify,

= -0.2x ×  2.4)  

Then we get,

= - 0.48x

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By using the Empirical Rule, the approximate percentage of cars that remain in service between 70 and 75 months is 13.5%.

The Empirical Rule is also referred to as the 68-95-99.7 rule and it can be defined as a statistical rule which states that the middle 99.7% of a normal distribution would be within three (3) standard deviations of its mean.

Based on the Empirical Rule, 68% of the car lies in the following interval:

68% = μ ± σ

68% = 65 ± 5

68% = (70, 60).

Based on the Empirical Rule, 95% of the car lies in the following interval:

95% = μ ± 2σ

95% = 65 ± 2(5)

95% = 65 ± 10

95% = (75, 55).

Based on the Empirical Rule, 99.7% of the car lies in the following interval:

99.7% = μ ± 3σ

99.7% = 65 ± 3(5)

99.7% = 65 ± 15

99.7% = (80, 50).

For the car remaining in service between 70 and 75 months, the boundary is within an interval of 68% and 95%, so the percentage of cars is given by:

Percentage of cars = (95 - 68)/2

Percentage of cars = 27/2

Percentage of cars = 13.5%.

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The probabilities are given as follows:

a) Hardware product given that it is from company B: (50 - y)/50.

b) Hardware product given that it is from company A: 3/7.

c) The probability in part a is greater than in part B for y < 8.57.

A probability is calculated as the division of the number of desired outcomes in the context of the experiment by the number of total outcomes in the context of the experiment.

For item a, the outcomes are given as follows:

Hence the probability is of:

p = (50 - y)/50.

For item b, the outcomes are given as follows:

Hence the probability is of:

30/70 = 3/7.

The inequality for item c is given as follows:

(50 - y)/50 > 3/7

Applying cross multiplication, the solution is obtained as follows:

7(50 - y) > 3(50)

210 - 7y > 150

-7y > -60

7y < 60

y < 60/7

y < 8.57.

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On solving the given question, we got Area of the base prism = bh/2 = (4.819 X 51)/2 = 122.89 cm2

A prism is a polyhedron in geometry that has an n-sided polygonal basis, a second base that is a shifted version of the first base, and n additional faces—necessarily all parallelograms. Connect the matching sides of the two bases.

h = 51 cm

a = 2cm

therefore,

volume of a Triangular Prism = (½) abh cubic cm

245.8 = [tex]\frac{1}{2}[/tex] X 2 X b X 51

[tex]= > b = \frac{245.8 X 2}{2 X 51}[/tex]

[tex]= > b = \frac{491.6}{102}[/tex]

[tex]= > b = 4.819[/tex]

Now Area of base of prism

Area of the base prism = bh/2 = (4.819 X 51)/2 = 122.89 cm2

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The rate of change of the table is -500

The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation

The function is represented by the table of values

The interval of the function are the x values

So, we make use of  x values

x = 0 and x = 2

Start by calculating f(0) and f(2)

From the table, we have

f(0) = 30000

f(2) = 29000

So, the average rate over these intervals is calculated as:

Average rate = [f(2) - f(0)]/[2 - 0]

Substitute known values

Average rate = [30000 - 29000]/[0 - 2]

Simplify

Average rate = -500

Hence, the rate of change is -500

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Answer:

A

Step-by-step explanation:

the x of each point is moved by three units to the left, while the y is moved by 6 units upstairs

Answer: A and F

Step-by-step explanation:

      This function does not have an amplitude, so there is no vertical stretch/shrink, horizontal stretch/shrink, or reflections. There is, however, a vertical translation of 4 units upwards and a horizontal translation of one unit to the right.

      To see the parent function and this function graphed, see attached.

We will see that the base is between 0 and 1, so the function is an exponential decay.

A general exponential function is written as:

f(x) = A*(b)^x

Where A is the initial value, and b is the base.

if b > 1, we have an exponential growth.

if 0 < b < 1, we have an exponential decay.

Here the function is:

f(x) = 25*e^(-2x)

We can rewrite this as:

f(x) = 25*(e^-2)^x

If we solve it for the base, we have that:

b = e^-2 = 1/e^2 = 0.14

Then we can write the exponential function as:

f(x)=  25*(0.14)^x

So this is an exponential decay.

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The number of pages that Hank and his partner still have to write is 7.5 pages.

Given that Hank and his partner are writing a 20 page history report and they complete 25% of the report in class, the pages remaining will be:

= 20 - (25% × 20)

= 20 - 5

= 15 pages.

Then they complete 50% of the remaining pages afterschool, the pages left will be:

= 15 - (50% × 15)

= 15 - 7.5

= 7.5

They've 7.5 pages left.

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Answer:the answer should be

Step-by-step explanation: option D or

answer

Answer:

23 Tens

15 hundredth

7 thousandth

Answer:

Step-by-step explanation:

1) Subtract 5 from both sides.

[tex]m-5=-0.5d[/tex]

2) Divide both sides by -0.5.

[tex]-\frac{m-5}{0.5} =d[/tex]

3) Switch sides.

[tex]d=-\frac{m-5}{0.5}[/tex]

Thank you,

Eddie

Exponential decay graph looks like see the given image attached.

The process of diminishing an amount by a constant percentage rate over time is known in mathematics as exponential decay. The quantity drops gradually, followed by a dramatic decline in the rate of change and growth over time.

A linear function reduces the original number by the same amount each time, but exponential decay reduces the original amount by a constant percentage over time. Exponential decay differs from linear decay in this way: the decay factor depends on a percentage of the original quantity.

The exponential decay formula is used to determine this decline in growth.

Formula of exponential decay is given by

Its graph is given by

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In the triangle given, using cosine law, the unknown side is equal 13.14 unit

The sine rule can be used to find an angle from 3 sides and an angle, or a side from 3 angles and a side. The cosine rule can find a side from 2 sides and the included angle, or an angle from 3 sides.

In this case, we can use only cosine rule to determine the unknown side in the triangle

This is because we have two known sides and one angle

This is given as

a² = b² + c² - 2bcCosA

Substituting the values into the equation

a² = 15² + 17² - 2(15)(17)cos48

a² = 172.74

a = √172.74

a = 13.14 unit

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Answer:

C

Step-by-step explanation:

15÷-3=15÷-3

15÷-3=-5

-15÷3=-5

Hence, the graph of [tex]g[/tex] is upward than the graph of [tex]f[/tex].

What is the function?

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

The functions are

[tex]f(x)=2^x\\g(x)=f(x)+6\\g(x)=2^x+6[/tex]

Draw the graphs of both the equation

The graph of the [tex]g[/tex] is differ from [tex]f[/tex] because in the graph of [tex]g[/tex] it is upward than the graph of [tex]f[/tex].

Hence, the graph of [tex]g[/tex] is upward than the graph of [tex]f[/tex].

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The circumcenter and Incenter of a triangle can be found this way :

Finding the incenter

The junction of a triangle's three angle bisectors is where you may locate its incenter. The incenter has an intriguing attribute as a result of its position: it is equally removed from each of the triangle's three sides. This feature is unique to this point. Like centroids, incenters are always contained within their triangles.

Two triangles are depicted in the above image along with their incenters and incircles (circles drawn inside the triangles so the circles barely touch the sides of each triangle). The incircles' centers are known as the incenters. (If you want to fit in with the in-crowd, don't talk about this "in" stuff too much.)

Finding the circumcenter

The point where the perpendicular bisectors of the triangle's sides meet is the triangle's circumcenter. Due to its position, the circumcenter has an intriguing property: it is equally removed from each of the triangle's three vertices.

In the illustration above, two triangles are shown along with their circumcenters and circumcircles (circles drawn around the triangles so that they pass through the vertices of each triangle). The centers of the circumcircles are known as the circumcenters.

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The amount of radioactive lead remaining after 4 years, 8 years, and 20 years will be 527.91, 464.48, and 435.69, respectively. And the half-life is 21.66 years.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

An example of 600 g of radioactive lead-210 rots to polonium-210 as per the capability [tex]\rm A(t) = 600 \times e ^{-0.032t}[/tex], where t is time in years.

The amount of radioactive lead remaining after 4 years is given as,

[tex]\rm A(4) = 600 \times e ^{-0.032\times 4}[/tex]

A(4) = 527.91

The amount of radioactive lead remaining after 8 years is given as,

[tex]\rm A(8) = 600 \times e ^{-0.032\times 8}[/tex]

A(8) = 464.48

The amount of radioactive lead remaining after 10 years is given as,

[tex]\rm A(10) = 600 \times e ^{-0.032\times 10}[/tex]

A(10) = 435.69

The half-life is calculated as,

[tex]\rm 300 = 600 \times e ^{-0.032\times t}[/tex]

-0.032t = ln (1/2)

0.032t = -0.693

t = 21.66 years

The amount of radioactive lead remaining after 4 years, 8 years, and 20 years will be 527.91, 464.48, and 435.69, respectively. And the half-life is 21.66 years.

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Each side of quadrilateral A changed by a factor of 1/4

When quadrilateral A was reduced the size of each angle remain unchanged

The dimensions of quadrilateral A are 16, 10, 6, 20

The dimensions of quadrilateral B are  4, 2.5, 1.5, 5

comparing the two dimensions

Let the factor be r

4r = 16

r = 16/4

r = 4

2.5r = 10

r = 10/2.5

r = 4

1.5r = 6

r = 6/1.5

r = 4

5r = 20

r = 20/5

r = 4

Therefore we can conclude that quadrilateral B was increased by 4, similarly, quadrilateral A was reduced by a factor of 1/4

16 * 1/4 = 4

10 * 1/4 = 2.5

6 * 1/4 = 1.5

20 * 1/4 = 5

since the reduction are similar quadrilateral A is similar to quadrilateral B

and the size of each angle were not affected

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Answer:

Step-by-step explanation: How much is 1 t shirt

Answer:

[tex]\textsf{D.} \quad 5^9=x[/tex]

Step-by-step explanation:

Given logarithmic equation:

[tex]\log_5x-\log_525=7[/tex]

[tex]\textsf{Apply the quotient log law}: \quad log_ax - \log_ay=\log_a \left(\dfrac{x}{y}\right)[/tex]

[tex]\implies \log_5\left(\dfrac{x}{25}\right)=7[/tex]

[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies 5^7=\dfrac{x}{25}[/tex]

Multiply both sides by 25:

[tex]\implies 25 \cdot 5^7=x[/tex]

Rewrite 5 as 5²:

[tex]\implies 5^2 \cdot 5^7=x[/tex]

[tex]\textsf{Apply exponent rule}: \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 5^{2+7}=x[/tex]

[tex]\implies 5^9=x[/tex]