Triangle QRS and its dimensions are shown.

s,. 6 centimeters,. 12 centimeters,. q,. 15 centimeters,. r,.

Which measurements in centimeters represent the dimensions of a triangle that is similar to triangle QRS?

The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The total number of bacteria in lab dish is 1200

The population decreases 10% per day

In first day:

10/100×1200=120

120 bacteria decreased in lab

1200-120=1080

In second day:

0.1×1080=108

1080-108=972

In third day

0.1×972=97.2

972-97.2=874.8

In fourth day

0.1×874.8=87.48

874.8-87.48=787.32

In fifth day

0.1×787.32=78.732

787.32-78.732

708.588

The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.

Hence, the population decreases  more quickly from day 1 to day 3 than from day 4 to day 6.

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Answer:

\(w=7\)

Step-by-step explanation:

Using the Angle Sum Theorem which states that all the interior angles in a triangle add up to 180 degrees you can use that to solve for w with the following:

\(62 +9w-1+8w=180\)  First combine like terms

\((62-1)+(9w+8w)=180\)

\(61+17w=180\) Then subtract 61 from both sides.

\(17w=180-61\)

\(17w=119\) Now divide by 17

\(w=119/17\)

\(w=7\)

Answer: b) psychological disorders

Step-by-step explanation:

Answer:

The second line (the flat one with an angle)

Step-by-step explanation:

Functions are linear when put on a graph.

Answer:

3.45

Step-by-step explanation:

Answer:

169/49 and I hope you have a great day as well

\(\dfrac{1}{3} x=6\)

Multiply both sides by 3:

\(3\times(\dfrac{1}{3} x)=3\times(6)\)

\(\fbox{x = 18}\)

1/3x = 6

Multiply both sides by 3:
3 * 1/3x = 3 * 6

x = 18

x = 18 would be your answer.

Hope this helps!

Answer:

see the attached picture.

Step-by-step explanation:

x²=16;

x=±4.

Answer:

I-11I

Step-by-step explanation:

To find the distance between two numbers, find the absolute value of each number and add them together.

I-11I = 11

I0I = 0

11 + 0 = 11

Answer:

Hope this helps!

Step-by-step explanation:

The answer is 11. To find the distance between two numbers, find the absolute value of each number and add them together.

The contractor would have to work for 20 hours on the site to earn $555 total pay

What is total cost function?

Total cost function is the sum of the fixed charge, which is fixed cost to the person paying the contractor when the contractor visits the site and charge per hour multiplied by the number of hours spent working

TC=a+bX

TC=total cost=$555

a=fixed charged=$55

b=charge per hour=variable element of contractor's pay=$25

X=number of hours spent working=unknown

$555=$55+$25X

$555-$55=$25X

$500=$25*X

X=$500/$25

X=20

The contractor needs to work for 20 hours in order to earn a total pay of $555

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Follow these steps:1. Enter the decimal value using the decimal point button. 2. Press the math button and select "frac" from the menu. 3.Press enter to convert the decimal to a fraction.

When working with fractions, it can be helpful to convert decimals into fractions. Many graphing calculators have a built-in function to convert decimals to fractions. To use this function, first, enter the decimal value using the decimal point button. For example, to convert 0.75 to a fraction, enter 0.75 on the calculator.

Next, press the math button (sometimes labeled as "maths" or "func") on the calculator. This should bring up a menu of math functions. Select "frac" from the menu by using the arrow keys to highlight it and then pressing enter.

The calculator should then convert the decimal value to a fraction. In this example, the calculator should display 3/4. Note that some calculators may simplify the fraction, while others may leave it in its original form.

Converting decimals to fractions can be particularly useful when working with ratios, proportions, or fractions with common denominators. Knowing how to use this function on a graphing calculator can save time and help avoid errors when working with fractions.

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Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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Answer:

the answer is 1

Step-by-step explanation:

anything to the 0th power is 1

Answer:

The answer you are looking for is 1

Step-by-step explanation:

Any number raised to the power of one equals the number itself. Any number raised to the power of zero, except zero, equals one. This multiplication rule tells us that we can simply add the exponents when multiplying two powers with the same base.

Please tell me if it is correct using the ratings or thanks

The magnitude of the child's acceleration when they push on the sofa with 100 N of force is approximately 7.14 m/s²

Using Newton's Third Law of Motion, we first need to understand that when the 14.0 kg child pushes on the 250 kg sofa with 100 N of force, the sofa exerts an equal and opposite force on the child. That means the child experiences a 100 N force in the opposite direction.

Now, we can use Newton's Second Law of Motion, F = ma, to find the magnitude of the child's acceleration. Here, F is the force exerted on the child (100 N), m is the child's mass (14.0 kg), and a is the child's acceleration (which we are trying to find).

Rearrange the formula to solve for acceleration: a = F/m

Plug in the values: a = 100 N / 14.0 kg

Calculate the acceleration: a ≈ 7.14 m/s²

So, the magnitude of the child's acceleration when they push on the sofa with 100 N of force is approximately 7.14 m/s².

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Answer:

...............

Step-by-step explanation:

...............

The position function given the acceleration function and an initial value is s(t) = 2t^2 - (t^3)/6 + 8t.

To find the position function s(t) given the acceleration function a(t) = 4 - t, and initial values v(0) = 8 and s(0) = 0, follow these steps:

1. Integrate the acceleration function a(t) to find the velocity function v(t).

∫(4 - t) dt = 4t - (t^2)/2 + C1

2. Use the initial value v(0) = 8 to find the constant C1.

8 = 4(0) - (0^2)/2 + C1 => C1 = 8

So, v(t) = 4t - (t^2)/2 + 8

3. Integrate the velocity function v(t) to find the position function s(t).

∫(4t - (t^2)/2 + 8) dt = 2t^2 - (t^3)/6 + 8t + C2

4. Use the initial value s(0) = 0 to find the constant C2.

0 = 2(0)^2 - (0^3)/6 + 8(0) + C2 => C2 = 0

So, the position function s(t) = 2t^2 - (t^3)/6 + 8t.

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Longitudinal parity is sometimes called longitudinal redundancy check question is b. horizontal. Longitudinal parity is a type of error-checking method used in digital communications.

It involves adding an extra bit to each data word to ensure that the total number of 1s in the word, including the parity bit, is always even or odd. This allows the receiving device to detect if there has been an error during transmission.

Longitudinal parity is also sometimes referred to as longitudinal redundancy check or horizontal parity. In conclusion, the correct term to fill in the blank in your question would be "horizontal".

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Answer: m=5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

Q' is at 0, 1.

J' is at 5, 3.

H' is at 3, 5.

Step-by-step explanation:

Whoopsiedaisy nearly botched it up

Answer: d = 1

Step-by-step explanation:

First distribute the 7 to each term of (6 + d) = 42 + 7d = 49 now subtract 42 from both sides which = 7d = 7. Divide by 7 = 7d/7 = 7/7 = d = 1

Four numbers forming a geometric sequence such that the second term is 35 less than the first term and the third term is 560 more than the fourth term are -35/3, -140/3, - 560/3, -2240/3 and 7, -28, 112, - 448  

Four numbers forming a geometric sequence can be calculate as follows

these terms: a₁, a₂, a₃, a₄

a₁ = a₂ + 35

a₃ = a₄ + 560

Use the formula for the n-term:

a₂ = a₁r

a₃ = a₁r²

a₄ = a₁r³

replace

a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35

a₁r² = a₁r³ + 560  ⇒ a₁(1 - r)r² = 560

Subtracting from the first equation to  the second:

r² = 560/35

r² = 16

r = √16

r = ± 4

Use the first equation to find the first term:

a₁( 1 ± 4) = 35

1. a₁ = 35/-3 = -35/3

2. a₁ = 35/5 = 7

We have two sequences:

r = 4

-35/3, -140/3, - 560/3, -2240/3

r = -4

7, -28, 112, - 448  

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Answer:

Steps:

SA = 2LW + 2WH + 2LH

SA = 2(9×2) + 2(2×11/2) + 2(9×11/2)

SA = 2×18 + 2×22/2 + 2×99/2

SA = 36 + 22 + 99

SA = 157 in²

Answer:

the total is 80 cm^2

Step-by-step explanation:

just because you should multiply by 2 40*2=80 cm^2

i hope this helps

have a great day

Since, The line of symmetry is drawn between them. That line makes both sides equal. So if area of one half is 40cm² the area of other half will be also 40cm²..

Now, their sum is:

\(40 + 40 = 80\)

Thus, The total area of the rhombus is 80cm²...~

To calculate marginal utility, you need to determine the additional utility that a consumer derives from consuming an additional unit of a good or service. This involves finding the difference in total utility before and after consuming the additional unit.

Marginal utility is the additional utility (or satisfaction) that a consumer derives from consuming an additional unit of a good or service. To calculate marginal utility, you can follow these steps:

1. Determine the total utility that a consumer derives from consuming a certain amount of a good or service.

2. Increase the amount consumed by one unit.

3. Determine the new total utility that the consumer derives from consuming the additional unit.

4. Subtract the initial total utility from the new total utility to obtain the marginal utility of the additional unit.

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To calculate the mass of the Earth, we can use the following formula:

M = (4π²rₑₘ³) / (Gtₘ²)

Where:

M is the mass of the Earth

rₑₘ is the distance from the center of the Earth to the center of the Moon (384 million meters)

G is the gravitational constant (approximately 6.67430 x 10^-11 m³/(kg·s²))

tₘ is the orbital period of the Moon around the Earth (27.3 days converted to seconds)

Let's plug in the values and calculate the mass of the Earth:

M = (4π² * (384 x 10^6)³) / (6.67430 x 10^-11 * (27.3 x 24 x 60 x 60)²)

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The function has a minimum value of f ( 2 ) = -15

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the function be represented as f ( x )

Now , the equation will be

f ( x ) = 2x² - 8x - 7   be equation (1)

Now , from the equation of parabola ,

if ( a > 0 ) , the function has a minimum value

So , f ( x ) = 2x² - 8x - 7 has a minimum

The minimum will occur when the tangent slope is 0 or expressed in another way, when the derivative of f ( x ) is equal to 0

The derivative of the function is

f' ( x ) = 4x - 8

when f' ( x ) = 0

Substituting the values in the equation , we get

4x - 8 = 0

Adding 8 on both sides of the equation , we get

4x = 8

Divide by 4 on both sides of the equation , we get

x = 2

So , f ( 2 ) = 2 ( 2 )² - 8 ( 2 ) - 7

f ( 2 ) = 2 ( 4 ) - 16 - 7

f ( 2 ) = -8 - 7

f ( 2 ) = -15

Hence , the minimum value of function is -15

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Answer:

72 ounces of fruit snacks were eaten

Step-by-step explanation:

Because,

20(fruit snacks) * 6(ounces)= 120(ounces)

12(ounces) - 48(ounces) =72 (ounces eaten)

:)

The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

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Answer: \(x=9\)

Add 15 to both sides

\(x-15+15=-6+15\\x=9\)

Steps to solve:

x - 15 = -6

~Add 15 to both sides

x = 9

Best of Luck!