An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x . Another side is 3 more than two times the length of the bottom of the triangle. The last side is 9 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

Answer:

hope this helps

Step-by-step explanation:

y-y=m(x-x¹)

y-(-1)=-3(x-1)

y+1=-3x+3

-1 -1

y=-3x+2

Area of base:-

Volume:-

Answer:

21u-16v+18w

Step-by-step explanation:

(7u-4v+4w) 14u-12v+14w

21u-16v+18w

Answer:

= 21u−16v+18w

Step-by-step explanation:

Let's simplify step-by-step.

7u−4v+4w−2(−7u+6v−7w)

Distribute:

=7u+−4v+4w+(−2)(−7u)+(−2)(6v)+(−2)(−7w)

=7u+−4v+4w+14u+−12v+14w

Combine Like Terms:

=7u+−4v+4w+14u+−12v+14w

=(7u+14u)+(−4v+−12v)+(4w+14w)

=21u+−16v+18w

Answer:

=21u−16v+18w

Answer:

The price of 1 marker is $3

Step-by-step explanation:

15/5 = 3

Answer:

5 markers cost $6.55 :)

When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Consider your square as being composed of smaller unit squares.

The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.

Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.

Hence, When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t

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Answer:

b = 5√3 (units)

Step-by-step explanation:

To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.

In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.

a^2+b^2 = c^2 (pythagorean therorm)

5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)

25+b^2 = 100 (square the numbers)

b^2 = 75 (subtract 25 from both sides)

b = √75

b = √25 * √3 (factor out√75)

b = 5 * √3 (find square root of√25)

b = 5√3

Hope I was able to help! Good Luck!

The length of the longest fish caught was 24, and the length of the last of the shortest fish caught was 10.

To find the length of the longest fish, we simply need to look at the highest point on the line plot. From the plot, we can see that the highest point is at 24. Therefore, the length of the longest fish caught was 24.
To find the length of the shortest fish, we need to look at the lowest point on the line plot. From the plot, we can see that the lowest point is at 10. Therefore, the length of the last of the shortest fish caught was 10.
In conclusion, Emily caught 12 fish while fishing and plotted their lengths on a line plot. The length of the longest fish caught was 24, and the length of the last of the shortest fish caught was 10.

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Answer:

a= d-r +c

Step-by-step explanation:

a-c = d-r

+c

a= d-r +c

Solving for a gives the result as  a = d - r + c

A variable is something which can vary from a given set of numerical values.We can also substitute some specific values to  a variable.

A constant on the other hand is a fix value even if it is denoted by some letter it is a fixed numerical value that can not be changed.

According to the given question

a is the indicated variable.

Given a - c = d - r

               a = d - r + c

moving any constant or variable from one side to another changes the sign of the constant or the variable.

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Answer:

last one

Step-by-step explanation:

Answer:

The measure of ∠R = 60°

Step-by-step explanation:

The given parameters are;

Triangle XYZ is reflected across the y-axis to create triangle PQR

The measure of ∠Y = 30°

Triangle XYZ = A right triangle

The measure of ∠X = 90°

Where we have;

The image of the preimage of vertex X = P

The image of the preimage of vertex Y = Q

The image of the preimage of vertex Z = R

Therefore, given that a reflection is a rigid transformation, we have;

The measure of ∠X = The measure of ∠P

The measure of ∠Y = The measure of ∠Q

The measure of ∠Z = The measure of ∠R

Given that the measure of ∠Y = 30° and the measure of ∠X = 90°

∠X +∠Y + ∠Z = 180° (angle summation of a triangle property

∴ The measure of ∠Z = 180° - (∠X + ∠Y)  = 180° - (90° + 30°) = 60°

Therefore;

The measure of ∠Z = 60° = The measure of ∠R

The measure of ∠R = 60°.

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Answer:

Use the formula C= 5/9 (F-32 degrees) to find the Celsius temperature that is equivalent to the 59 degrees Fahrenheit. Question 116085: Use the formula C= 5/9 (F-32 degrees) to find the Celsius temperature that is equivalent to the 59 degrees Fahrenheit. C=15 ANSWER.

Step-by-step explanation:

The formula C= 5/9 (F-32) gives the temperature in degrees celsius for a given temperature in degrees Fahrenheit, the temperature in degrees celsius would be 20° Celcius the temperature is 68 degrees Fahrenheit.

It is a scale of temperature used to measure the temperature, the kelvin scale of temperature is also known as the absolute scale of temperature.

The Standard International unit of thermodynamic temperature is the kelvin, often known less frequently as the degree Kelvin. The formal definition of one kelvin is 1/273.16  of the thermodynamic temperature of pure water's triple point.

It is impossible to have kelvin temperature in a negative value.

For the given problem for calculating the temperature in degrees Celcius

formula C= 5/9 (F-32) is used where C is the temperature in degrees Celcius and F is the temperature in degrees of Fahrenheit

As the given temperature in the fahrenheit scale is 68°

C= 5/9(68-32)

C= 20° Celcius

Thus, the temperature in degrees Celcius comes out to be 20°.

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Answer:

A

Step-by-step explanation:

yes, Corelise does have more than stephan

There are 472 more buttons bought by Vance than beads.

For the stated question table is made.

So,

Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).

= (2 × 96) + (1 × 64)

= 2 × (90 + 6) + 64

= (2 × 90) + (2 × 6) + 64

= 180 + 12 + 64

= 256 beads

Now,

Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)

= (2 × 56) + (2 × 38)

= 2 × (50 + 6) + 2 × (30 + 8)

= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)

= 100 + 12 + 600 + 16

= 728 buttons

Thus,

Difference for the number of buttons and beads

= 728 – 256

= 472 beads

So,

Therefore, there are 472 more buttons bought by Vance than beads.

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Answer:

The slope of the pile of sand is 0.5

Step-by-step explanation:

Since slope = vertical distance/horizontal distance.

Here, the vertical distance from the pile's peak to its base is 2.5 meters and the horizontal distance from its peak to its edge  is 5 meters.

So, we calculate the slope as

slope = vertical distance/horizontal distance where vertical distance = vertical distance from the pile's peak to its base = 2.5 meters and horizontal distance = horizontal distance from its peak to its edge  = 5 meters.

slope = vertical distance/horizontal

slope = 2.5 meters/5 meters

slope = 0.5

So, the slope of the pile of sand is 0.5

Answer:

225

Step-by-step explanation:

Answer:

Step-by-step explanation:

Diameter d = 13 meters

Circumference = πd = 3.14 × 13 = 40.82 meters

The additivity axiom is not satisfied, P is not a valid probability measure.

The value of D in the given problem can be found using the formula for the sum of an infinite geometric series:

sum = a/(1-r), where a is the first term and r is the common ratio.

Here, we have:

0.7 = a/(1-D)

Multiplying both sides by (1-D), we get:

0.7 - 0.7D = a

Now, we need to find the common ratio. Let's call it r. Then, we have:

a/r = a

Dividing both sides by a, we get:

1/r = 1

So, r = 1.

Therefore, we have:

0.7 - 0.7D = a = 7/10

Solving for D, we get:

D = (1-7/10) = 3/10

So, the first term is 7/10 and the common ratio is 3/10.

Hence, the infinite geometric series is:

0.7 = 7/10 + (3/10)(7/10) + (3/10)^2(7/10) + ...

1.2.1

(a) P({1, 2}) = P({1}) + P({2}) = 1/2 + 1/3 = 5/6

(b) P({1, 2, 3}) = P({1}) + P({2}) + P({3}) = 1/2 + 1/3 + 1/6 = 1

(c) The only event A such that P(A) = 1/2 is {1, 2}.

1.2.2

(a) P({1, 2}) = P({1}) + P({2}) = 1/8 + 1/8 = 1/4

(b) P({1, 2, 3}) = P({1}) + P({2}) + P({3}) = 1/8 + 1/8 + 1/8 = 3/8

(c) There are no events A such that P(A) = 1/2.

1.2.3

We know that P({1}) = 1/2 and P({1, 2}) = 2/3. Let's find P({2}):

P({1, 2}) = P({1}) + P({2}) - P({1, 2})

2/3 = 1/2 + P({2}) - P({1, 2})

2/3 = 1/2 + P({2}) - 2/3

P({2}) = 1/6

Therefore, P({2}) must be 1/6.

1.2.4

Let's check if the axioms of probability are satisfied:

Non-negativity: P(A) >= 0 for any event A. This property is satisfied since all probabilities given in the problem are non-negative.

Additivity: If A and B are disjoint events, then P(A U B) = P(A) + P(B). This property is not satisfied since P({1, 2}) + P({1, 3}) > P({1, 2, 3}).

Normalization: P(S) = 1. This property is satisfied since P({1, 2, 3}) = 1.

Since the additivity axiom is not satisfied, P is not a valid probability measure.

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Answer:

[5] a + [4]

Step-by-step explanation:

Simplify the expression by combining like

terms: 4a + 1 + a +3 Enter the number that goes in the box. [?] a + [?]

Combine like terms: like terms are a and the numbers

4a + 1 + a +3

5 a + 4

Answer:

\( \sf \: 5a + 4 \)

Step-by-step explanation:

Given expression,

→ 4a + 1 + a + 3

Let's simplify the expression,

→ 4a + 1 + a + 3

→ (4a + a) + (1 + 3)

→ (5a) + (4)

→ 5a + 4

Hence, the answer is 5a + 4.

Answer:

Step-by-step explanation:

The answer would be O C. (x-2)(x-1)

xD

Answer:

IG: yiimbert

Sure, here are the calculations for both sides step by step:

(2x3²)²

= (2x9)²   // Evaluate the exponent 3² to get 9

= 18²     // Multiply 2 and 9 to get 18

= 324    // Square 18 to get 324

Therefore, (2x3²)² = 324

(3²)²

= 9²     // Evaluate the exponent 3² to get 9

= 81    // Square 9 to get 81

Therefore, (3²)² = 81

As we can see, (2x3²)² = 324 and (3²)² = 81, and they are not the same value.

Given:

Principal value = $640

Rate of interest = 3.9% not compounded

Number of years = 8

To find:

The amount after 8 years.

Solution:

It is given that the interest is not compounded. It means, we need to find simple interest.

Formula for simple interest:

\(I=P\times r\times t\)

where, P is principal, r is rate of interest and t is time in years.

Put P=640, r=0.039 and t=8.

\(I=640\times 0.039\times 8\)

\(I=199.68\)

So, the interest is $199.68.

Now, amount after 8 years is

\(A=P+I\)

where, P is principal and I is interest.

\(A=640+199.68\)

\(A=839.68\)

Therefore, the amount after 8 years is $839.68.

Answer:

35

Step-by-step explanation:

Top box equals 10

(5x2)

Middle box equals 15

(5-2+2) x 3

Bottom box equals 10

(5x2)

Answer:

35 in sq.

Step-by-step explanation:

Find the area of each rectangle and add them together.

Area of a rectangle = length*height

Top rectangle: This one is easy. Length=2 Width=5

5*2=10

Middle rectangle: There's a missing segment in the width but we can find it. Notice the bottom rectangle's width includes the missing segment + 2 (look at the top rectangle). 5-2 is 3. Add the 2 of the known segment to the 3 of the previously unknown segment.

Length=3 Width=5

5*3=15

Bottom rectangle: This one is also easy. Length=2 Width=5

2*5=10

10+15+10=35 in sq.

Answer:

i think its 876.8 Drakes shadow

Answer:

112.5 miles

Step-by-step explanation:

375/5=75

75*6.5=487.5

487.5-375=112.5

Answer:

34

Step-by-step explanation:

xzzee#^€^€€%^"$~~×

Answer:

k/3 + 6 < 7 = k< 3

2 + p/2 ≥ 7 = p  ≥  10

5 − 4n < 8 − 5n = n < 3

−3n −4 > 4n + 10 = n < -2

9w − 4w + 6 ≥1 + 5w = I couldn't get a solution for this one sorry

Step-by-step explanation:

Hope this helps

Answer:

Its going to cost him 22.167

Step-by-step explanation:

Divide $9.50 by 3 = 3.167

multiply it by 7= 22.167