The perimeter of a rectangular painting is 344 centimeters. If the width of the painting is 79 centimeters, what is its width?

Answer:

B

Step-by-step explanation:

Answer:

Slope-intercept form is y = 5/6x + 14

If the Gergonne point (T) coincides with the incenter, circumcenter, orthocenter, or centroid of triangle ABC, then the triangle must be equilateral.

To prove this, we need to understand the properties of the Gergonne point and its relationship with these special points of a triangle.Incenter: If the Gergonne point coincides with the incenter, it means that the cevians (lines joining the vertices and the opposite sides) are concurrent at the incenter. In an equilateral triangle, all cevians coincide with the medians, and therefore, the Gergonne point coincides with the incenter.

Circumcenter: The circumcenter is the center of the circumcircle, which passes through all three vertices. If the Gergonne point coincides with the circumcenter, it implies that the cevians are concurrent at the circumcenter. In an equilateral triangle, all cevians coincide with the perpendicular bisectors of the sides, and therefore, the Gergonne point coincides with the circumcenter.  Orthocenter: The orthocenter is the point of intersection of the altitudes of a triangle. If the Gergonne point coincides with the orthocenter, it means that the cevians are concurrent at the orthocenter.

Centroid: The centroid is the point of intersection of the medians of a triangle. If the Gergonne point coincides with the centroid, it means that the cevians are concurrent at the centroid. In an equilateral triangle, all cevians coincide with each other, and therefore, the Gergonne point coincides with the centroid.  In conclusion, if the Gergonne point coincides with the incenter, circumcenter, orthocenter, or centroid of a triangle, then the triangle must be equilateral.

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Answer:

2.7

Step-by-step explanation:

hope you understand if you don't understand tell me I'll try again.

a. Σ2^(-1) = 1 matches with option (c) -39.9951.

b. 3 + 6 + 12 + 24 + ... + 3072 matches with option (d) -20 - 10 - 5 -...

c. Σ3(27^(-1)) matches with option (a) 1.

d. -2 + 4 + -8 + 16 + ... matches with option (b) 3072.

In a geometric series, each term is obtained by multiplying the previous term by a common ratio. To determine the equivalent expression, we need to identify the common ratio and the first term of the geometric series.

Option (a) has a common ratio of 2 and the first term of 1, resulting in the series Σ2^(-1) = 1. This matches with Σ3(27^(-1)).

Option (b) has a common ratio of 2 and the first term of 3, resulting in the series 3 + 6 + 12 + 24 + ... + 3072. This matches with -20 - 10 - 5 -...

Option (c) has a common ratio of -3 and the first term of -39.9951, resulting in the series Σ2(-3)*. This matches with -39.9951.

Option (d) has a common ratio of -2 and the first term of -2, resulting in the series -2 + 4 + -8 + 16 + ... This matches with 3072.

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The relation is a direct variation that contains the ordered pair (2, 7) is y = 3.5x

The ordered pair is given as:

(2, 7)

Rewrite properly as:

(x, y) =  (2, 7)

A relation that is a direct variation is represented as:

y = kx

So, we have

7 = 2k

Divide by 2

k = 3.5

Substitute k = 3.5 in y = kx

y = 3.5x

Hence, the relation is a direct variation that contains the ordered pair (2, 7) is y = 3.5x

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Answer:

(3/4) mile / 6 min = 3/24 = 1/8 mile/min = 0.125 mile/min

(1/2) mile /5 min = 1/10 mile / min = 0.100 mile/min

Step-by-step explanation:

Answer:

i think its 64

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 liter = 1.52 euro

price in dollars per gallon = ?

$1 = 0.91 euro

so, $1.67 = 1.52 euro

thus, 1 liter = $1.67

now let's convert liter to gallons

1 gallon = 3.79 liter

so, 1 liter = .26 gallons

thus,

.26 gallons will cost $1.67

The equation y= -x/3 - 1 is the answer in slope-intercept form .

We have,

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-6,-3) and, (6,-7)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y+3)/(x+6)=(-7+3)/(6+6)

=> 3y + 9 = -x +6

=>3y = -x -3

=>y= -x/3 - 1

Hence, the required equation is,  y= -x/3 - 1

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With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

\(p(m)=19.3(1089)^m\)

Most recently, the scientist counted 138 plants.

\(138=19.3(1089)^m\\(1089)^m=7.15\)

Taking log both sides of the equation,

\(\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1\)

Thus, with no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

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Answer:

With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Step-by-step explanation:

Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.

ordered pair=(1,2)

linear inequality equation,

\(4x_{1}-x_{2} > 0\)

using value from ordered pair,

\(4*1 - 2 > 0\)

\(2 > 0\)

which is true. That is it satisfies the given linear inequality.

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Answer:

d=3.5+1.8t

Step-by-step explanation:

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Answer:

5/6

Step-by-step explanation:

x²- 3x + 7 / x + 4

when [x = 2]

Putting the value of x,

2² - 3(2) + 7 / 2 + 4

= 4 - 6 + 7 / 6

=5 / 6

Answer:

Use the formula V = Bh and insert the dimensions. ( this formula is only for the triangular prisms).

calculatorsoup should provide a good and detailed explanation if you need further help lmk :).

Step-by-step explanation:

Answer:

-110

Step-by-step explanation:

-70 + -40 = -110

Answer:

Point Form: 8,2

Equation Form: x = 8, y = 2

Step-by-step explanation:

solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

(8,2)

Step-by-step explanation:

Answer:

I think its the first one...

Step-by-step explanation:

Answer:

First one

Step-by-step explanation:

The average rate of change between x=2 and x=6 is 23. To find the net change between x=2 and x=6, we need to find the difference between f(6) and f(2).

f(6) = 3(6)² - 6 = 108 - 6 = 102

f(2) = 3(2)² - 2 = 12 - 2 = 10

The net change is therefore: f(6) - f(2) = 102 - 10 = 92.

To find the average rate of change between x=2 and x=6, we need to find the slope of the line connecting the points (2, f(2)) and (6, f(6)).

The slope of this line can be found using the slope formula:

slope = (f(6) - f(2)) / (6 - 2) = 92/4 = 23

Therefore, the average rate of change between x=2 and x=6 is 23.

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Answer:

(- 1, - 3 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (- 1, - 3 ) ← solution

Start by finding the slope of the line that passes through both the 12 roses bouquet and the 18 roses bouquet.

point 1: (12,61)

point 2: (18,79)

then, using one of the points find the fixed costs

Answer:

The general equation that represents the linear relationship is:

Person C would receive an alarm from the bracelet since their heart rate is above the normal resting heart rate range.

(i) In this specific application, the optimal choice for the LED color would be green. Green light is most commonly used for heart rate monitoring because it is absorbed by both oxygenated and deoxygenated hemoglobin in the blood. This allows for accurate measurement of blood flow changes, even when the device is not tightly fitted to the wrist and may be subject to movement noise. Green light is less affected by variations in skin pigmentation and provides reliable readings in most individuals.

(ii) To determine which person would receive an alarm from the bracelet based on the RR interval, we need to convert the RR interval to heart rate (beats per minute) and compare it to the normal resting heart rate range.

To convert RR interval to heart rate (HR), we can use the formula:

HR (in beats per minute) = 60,000 / RR interval (in milliseconds)

For Person A:

HR = 60,000 / 1000 = 60 beats per minute

For Person B:

HR = 60,000 / 600 = 100 beats per minute

For Person C:

HR = 60,000 / 400 = 150 beats per minute

Comparing the calculated heart rates to the normal resting heart rate range of 60-100 beats per minute, we can determine which person would receive an alarm from the bracelet:

- Person A: HR = 60 bpm (within the normal range)

- Person B: HR = 100 bpm (within the normal range)

- Person C: HR = 150 bpm (above the normal range)

Therefore, Person C would receive an alarm from the bracelet since their heart rate is above the normal resting heart rate range.

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The probability that the first child of Clara and Charles will be a boy with hemophilia is 1/4.

It shouldbe noted the dominant and recessive alleles is given as H and h. It should be noted that A and a also represent the tyrosinase alleles.

The father of Clara had hemophilia.

Therefore, the probability that the first child of Clara and Charles will be a boy with hemophilia will be:

= 1/2 × 1/2

= 1/4.

Therefore, the probability is 1/4.

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In humans, hemophilia (OMIM 306700) is an X-linked recessive disorder. The dominant and recessive alleles represented by H and h . Albinism is an autosomal recessive condition . A and a represent the tyrosinase alleles. A healthy woman named Clara (II-2), whose father (I-1) has hemophilia and whose brother (II-1) has albinism, is married to a healthy man named Charles (II-3), whose parents are healthy. Charles's brother (II-5) has hemophilia, and his sister (II-4) has albinism. The pedigree is shown.

Determine the probability that the first child of clara and charles will be a boy with hemophilia.

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50 .

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50.

1. Calculate the price of a Deluxe room for check-in on Sunday until Thursday:

$223 / 1.70 = $131.18

2. Calculate the price of a Deluxe room for check-in on Friday and Saturday:

$131.18 x 1.25 = $163.98

3. Calculate the price of a Suite room for check-in on Friday and Saturday:

$163.98 x 1.70 = $278.50

The price per night for a Suite room for check-in on Friday and Saturday would be $278.50.

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Answer: y = 3.75x + 2.50

Step-by-step explanation:

The equation that can be used to find y, the total cost of renting a bike, if x represents the number of hours Violet rents the bike is:

y = 3.75x + 2.50

Explanation:

Violet pays an initial fee of $2.50, which is a fixed cost that does not depend on the number of hours she rents the bike. Additionally, she pays $3.75 per hour she rents the bike, which is a variable cost that depends on the number of hours. Therefore, the total cost of renting a bike (y) can be expressed as the sum of the fixed cost ($2.50) and the variable cost ($3.75x), which gives the equation:

Answer:The 99% confidence interval is

To find the 99% confidence interval for the mean systolic blood pressure (SBP) level, we use the formula:

CONFIDENCE INTERVAL = Mean ± Z * (Standard Deviation / √n)

Where:

Mean is the sample mean of SBP

Z is the Z-score corresponding to the desired confidence level

Standard Deviation is the population standard deviation

Explanation:

Given that the sample size is 13 and the standard deviation is 10, we need to calculate the sample mean and the Z-score for the 99% confidence level.

First, we calculate the sample mean:

Mean = (129 + 134 + 142 + 114 + 120 + 116 + 133 + 142 + 138 + 148 + 129 + 133 + 140) / 13

= 1724 / 13

≈ 132.62

Next, we need to determine the Z-score for a 99% confidence level. The Z-score can be found using a Z-table or a statistical calculator. For a 99% confidence level, the Z-score is approximately 2.576.

Now, we can calculate the confidence interval:

Confidence Interval = 132.62 ± 2.576 * (10 / √13)

132.62 ± 2.576 * (10 / 3.6056)

≈ 132.62 ± 2.576 * 2.771

≈ 132.62 ± 7.147

Therefore, the 99% confidence interval for the mean SBP level is approximately (125.47, 139.77).