Are the given lenghts a right triangle? 28, 53,45​

The amount of money Justin saves in the first month would be 5 times the value of x, where x represents the number of months of gym membership, based on the discounted price provided.

A linear equation is an equation in mathematics that represents a relationship between two variables that is a straight line when graphed on a coordinate plane. It is an equation of the form:

y = mx + b

To calculate the amount of money Justin saves in the first month by joining the gym at the discounted price rather than the regular price, we need to know the discounted price.

The equation given is y = 15x + 20, where y represents the regular price in dollars and x represents the number of months of gym membership. However, we need to know the discounted price, which is not provided in the given information.

Once we have the discounted price, we can substitute it into the equation and calculate the savings. For example, if the discounted price is y = 10x + 20, then we can calculate the savings by subtracting the discounted price from the regular price:

Savings = Regular price - Discounted price

= (15x + 20) - (10x + 20)

= 15x - 10x

= 5x

Hence, the amount of money Justin saves in the first month would be 5 times the value of x, where x represents the number of months of gym membership, based on the discounted price provided.

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Answer:

43/36 or 1 7/36

Step-by-step explanation:

\(\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}\)

Answer:

Step-by-step explanation:

Given :

x = -6

-7x + 6y = -18 ... i)

Putting the value of x in equation ...i)

=> -7 (-6) + 6y = -18

=> 42 + 6y = -18

=> 6y = -18 -42

=> 6y = - 60

=> y = -60/6

=> y = -10

The value of y = -10 and x = -6

Answer:

x= 4, y=6

Step-by-step explanation:

9x-9y = -18

9x=-18+9y

x=-2+y

-6(-2+y) + 9y = 6

-12-6y+9y=6

3y=18

y=6

9x -9(6)=-18

9x-54=-16

9x=36

x=4

Answer:

x = 45°

Step-by-step explanation:

the triangle has 2 congruent sides and is therefore isosceles with the base angles being congruent, both x

the sum of the 3 angles = 180° , then

x + x + 90° = 180° ( subtract 90° from both sides )

2x = 90° ( divide both sides by 2 )

x = 45°

Let the unit price for pencil be x

Let the unit price for pack be y

If the students bought 3 packs of pencil and 2 packs of pen for $8.25, then;

\(2x+3y=8.25.... 1\)

Similarly;

If her friend bought 5 packs of pencil and 2 packs of pen for $11, then ;

\(5x+2y=11 .... 2\)

We will have to solve both equations simultaneously as shown;

\(2x+3y=8.25... 1...*5 \\5x+2y=11 ... 2 ... *2 \\\)

---------------------------------------------------------------------------------------------------------------------------------------------------------

\(10x+15y=41.25\\10x=4y=22 \\\)

Subtract the resulting equations;

\(15y-4y=41.25-22\\11y=19.25\\y=19.25/11\\y= $ 1.75 \\\)

Hence 1 pack of pen costs %1.75

To get x, you will substitute y= 1.75 into equation 2;

\(2;5x+2y=11\\5x+2(1.75)=11\\5x+3.5=11\\5x=11-3.5\\5x=7.5\\x=\frac{7.5}{5} \\x=1.5\)

Hence 1 pack of pencil will cost costs $1.5

From the above solution, we can conclude that there are enough information to find the cost of each pack of pen and pencil.

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Let the unit price for pencil be x

Let the unit price for pack be y

If the students bought 3 packs of pencil and 2 packs of pen for $8.25, then;

Similarly;

If her friend bought 5 packs of pencil and 2 packs of pen for $11, then ;

We will have to solve both equations simultaneously as shown;

---------------------------------------------------------------------------------------------------------------------------------------------------------

Subtract the resulting equations;

Hence 1 pack of pen costs %1.75

To get x, you will substitute y= 1.75 into equation 2;

Hence 1 pack of pencil will cost costs $1.5

From the above solution, we can conclude that there are enough information to find the cost of each pack of pen and pencil.

Answer: 804.25 cm sq.

Step-by-step explanation:

A = 4 π r^2

A = 4 π 8^2

A = 4 π 64

A = 804.25 cm sq.

The function f(x) is defined as follows: for x less than 0, f(x) = 2x + 1, and for x greater than or equal to 0, f(x) = 2x + 2. Evaluating the function at specific values, we find that f(-1) = 1, f(0) = 2, and f(2) = 6.

(a), when x = -1, we fall into the first case of the piecewise function. Plugging -1 into the first equation, f(-1) = 2(-1) + 1 = -1 + 1 = 0. Therefore, f(-1) equals 0.

(b), when x = 0, we encounter the transition point between the two cases. At x = 0, both equations could potentially apply, but we must follow the rule of the piecewise function. In this case, the second equation applies because it covers x values greater than or equal to 0. Thus, plugging 0 into the second equation, f(0) = 2(0) + 2 = 0 + 2 = 2. Hence, f(0) equals 2.

(c), when x = 2, we are in the second case of the function. Substituting 2 into the second equation, f(2) = 2(2) + 2 = 4 + 2 = 6. Consequently, f(2) equals 6.

In summary, the values of the function f(x) for the given inputs are:

f(-1) = 0, f(0) = 2, and f(2) = 6. These results are obtained by applying the respective equations based on the specified ranges in the piecewise function definition.

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we have two possible equations based on the given quadratic function values:

f(x) = (x - 5)² - 2

f(x) = (x - 4)² - 1

To find the equation of the quadratic function represented by the table of values, we can observe the pattern and calculate the differences between consecutive values of f(x).

From the given table, we can see that the differences between consecutive values of f(x) are as follows:

-87 to -72: +15

-72 to -61: +11

-61 to -52: +9

-52 to -43: +9

-43 to -38: +5

-38 to -27: +11

-27 to -14: +13

-14 to 23: +37

Looking at these differences, we notice that they are not constant, indicating that the quadratic function is not a perfect square form of (x-a)².

To find the equation, we can make use of the general form of a quadratic function: f(x) = ax² + bx + c.

By substituting the given values of x and f(x) into the quadratic equation, we can solve for the coefficients a, b, and c.

Using the provided values, we can calculate:

(-5)² - 2 = 23

(-4)² - 1 = 23

From the given table, both values for f(-5) and f(-4) evaluate to 23. Therefore, we have two possible equations based on the given values:

f(x) = (x - 5)² - 2

f(x) = (x - 4)² - 1

Either equation could represent the quadratic function based on the given table of values.

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Answer:

49 square units

Step-by-step explanation:

\( \frac{1}{2} (7)(3 + 11) = \frac{1}{2} (7)(14) = 49\)

Answer:

49

Step-by-step explanation:

The shape shown in the image is a trapezoid.

The formula for calculating the area of trapezoid is as following:

\( \frac{a + b}{2} \times h\)

\( \frac{3 + 11}{2} \times 7 = 49\)

The area is put in square units so the answer is 49 units²

The probability of x taking on a value between 75 to 90 is 0.25.

Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.

The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.

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110.859

Hi its me again

Answer:

1026

Step-by-step explanation:

as everyone knows that up to 4 the number increases so here it is 4 so it decreases we can't increase it .

hope it helps.

Answer: 1 13/24

Step-by-step explanation:

We need to convert 2/3 and 7/8 to have a common denominator. They both have a common denominator of 24 so...

We convert:

2/3 x 8/8=16/24

7/8 x 3/3 = 21/24

Then we add:

16/24 + 21/24 =37/21

Then we convert to a mixed number:

37/24= 1 13/24

Answer:

3/7 (simplified)

Step-by-step explanation:

The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.

On 21st day of the month will she have 40 sweets left given that on 1st November Joan had 200 sweets in a box, she eats no sweets the first day and she eats 8 sweets per day from the box thereafter. This can be obtained by the formula of arithmetic sequence formula.

The arithmetic sequence formula of nth term of the sequence a, a+d, a+2d... is,

⇒ aₙ = a + (n - 1)d,

where a is the first term, d is the common difference and d = aₙ - aₙ₋₁

Here in the question it is given that,

We have to find that on what day of the month will she have 40 sweets left.

From the given data we can write that,

⇒ Day 1 = 200 sweets

⇒ Day 2 = 192 sweets (8 sweets are eaten)

⇒ Day 3 = 184 sweets (8 sweets are eaten)

...

⇒ Day n = 40 sweets

Thus we can form an arithmetic sequence

⇒ 200, 192, 184,...,40 is an arithmetic sequence.

Here, first term = a = 200

Common difference = d = 192 - 200 ⇒ d = -8

By using the formula, nth term will be,

⇒ a + (n - 1)d = 40

⇒ 200 + (n -1)(-8) = 40

⇒ 200 - 8n + 8 = 40

⇒ 208 - 8n = 40

⇒ 8n = 208 - 40

⇒ 8n = 168

⇒ n = 168/8

⇒ n = 21

Hence on 21st day of the month will she have 40 sweets left given that on 1st November Joan had 200 sweets in a box, she eats no sweets the first day and she eats 8 sweets per day from the box thereafter.

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Answer:

B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

The exposure variable in the cohort study was consumption of artificially sweetened beverages.

The exposure variable in a cohort study refers to the factor that researchers are interested in studying to determine its potential association with an outcome. In this case, the exposure variable was consumption of artificially sweetened beverages.

The researchers looked at how often individuals consumed these beverages, and the amount or frequency of consumption may have been measured to assess the exposure. The researchers aimed to investigate whether there was a relationship between consumption of artificially sweetened beverages and the outcomes of incident stroke and dementia.

Therefore, the exposure variable in the cohort study was artificially sweetened beverage consumption.

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Answer:

0

Step-by-step explanation:

Slope = (y-y1)/(x-x1)

0

Every integer is also a rational number because a rational number can be expressed as the ratio of two integers, where the denominator is not zero.

An integer, by definition, is a whole number that can be positive, negative, or zero. We can express any integer as a fraction with a denominator of 1, such as 3/1 for the integer 3, (-5)/1 for the integer -5, or 0/1 for the integer 0.

Since any integer can be written in the form of a fraction with an integer numerator and a denominator of 1, it meets the criteria for a rational number. Therefore, every integer is also a rational number.

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Answer:

W when c = 4 is 0.128.

Step-by-step explanation:

The relationship between A, C and W can be represented by the following equations:

A = k√c

W = m/a^3

Where k and m are constant of proportionality.

Since A is directly proportional to the square root of c, we can write k = A/√c. Substituting the values of A and C when c = 49, we have:

k = 35/√49 = 35/7

Since W is inversely proportional to a^3, we can write m = W * a^3. Substituting the values of W and A when a = 2, we have:

m = 16 * 2^3 = 128

Now we have both k and m, we can find the value of W when c = 4.

A = k * √c = 35/7 * √4 = 10

W = m/a^3 = 128/10^3 = 0.128

So, the value of W when c = 4 is 0.128.

Answer:

Step-by-step explanation:

1) Number of white chocolate bars = x

Number of dark chocolate bars = y

Total bars = 15

x + y = 15 --------------(I)

Total cost = Php. 340

20x + 25y = 340 ----------------(II)

2)  We can use elimination method to solve this equations.

Multiply equation (I) by (-20) and then add the equations.

(I)* (-20)          -20x  -20y = - 300

(II)                    20x + 25y = 340     {Now add and x will be eliminated}

                                  5y = 40

                                    y = 40/5

y = 8

Substitute y = 8 in equation (I)

x + 8 = 15

      x = 15 - 8

x = 7

3) Number of dark chocolate bars = 8

analyze problem

complex interest

2000+2000*0.005=2010

2010+2010*0.005=2020.05

2020.05+2020.05*0.005=2030.15025

The area of an equilateral triangle with a side length of 8 feet is \(\(16\sqrt{3}\)\) square feet. This can be obtained by applying the formula for the area of an equilateral triangle and simplifying the expression.

The area of an equilateral triangle with a side length of 8 feet can be calculated using the formula for the area of an equilateral triangle. The area of an equilateral triangle is given by \(\( \frac{\sqrt{3}}{4} \times \text{side length}^2 \).\) Substituting the given side length of 8 feet into the formula, we can find the area of the equilateral triangle.

The area of an equilateral triangle with a side length of 8 feet is given by \(\( \frac{\sqrt{3}}{4} \times 8^2 \).\)

To simplify the expression, we can first square the side length: \(\( 8^2 = 64 \).\)

Next, we substitute the squared side length into the formula and simplify: \(\( \frac{\sqrt{3}}{4} \times 64 \).\)

Multiplying the fraction and the number, we have \(\( \frac{\sqrt{3} \times 64}{4} \).\)

Simplifying further, we get \(\( \frac{64\sqrt{3}}{4} \).\)

Since both 64 and 4 can be divided by 4, we simplify the expression to \(\( 16\sqrt{3} \).\)

Therefore, the area of the equilateral triangle with a side length of 8 feet is \(\( 16\sqrt{3} \)\) square feet.

In summary, the area of an equilateral triangle with a side length of 8 feet is \(\( 16\sqrt{3} \)\) square feet.

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The equation by completing the square is f(x)=(x-6)²-65

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given function is f(x)=x²-12x-29

Now let us take the constant term to right side

x²-12x=29

Take the co-efficient of the middle x term and half it

-12/2=-6

x²-12x+(-6)²=29

x²-12x+(6)²=29+36

(x-6)²=65

(x-6)²-65

Hence, the equation by completing the square is f(x)=(x-6)²-65

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The  confidence level were reduced from 99% to 90%, the margin of error would be smaller. This is because a lower confidence level requires a smaller margin of error.

If  the confidence level were reduced from 99% to 90%, the margin of error would be smaller. This is because a lower confidence level requires a smaller margin of error. When the confidence level is reduced, the z-score used in the calculation of the margin of error decreases, resulting in a smaller margin of error.

The formula for the margin of error (ME) is given by:

ME = z* (σ/√n)

Where z is the z-score, σ is the standard deviation, and n is the sample size. As the confidence level decreases, the value of z decreases, which reduces the margin of error. Therefore, if the confidence level were reduced from 99% to 90%, the margin of error would be smaller.

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Answer:

9.75

Step-by-step explanation:

first we are going to subtract the bonus

142.25 -35 = 107.25

assuming that you are not takeing breaks you work a total of 11 hours (7+4)

so 11/107.25  = 9.75

so you would make 9.75 an hour before taxs

The linear equation written with the given information is:

y = -3*x - 1

The general linear equation is written as:

y = m*x + c

Where m is the slope or gradient, and c is the y-intercept.

Here we know that the gradient is -3, then we can write the linear equation as:

y = -3*x + c

To find the value of c, we use the fact that the line passes through (0, -1), replacing that we get:

-1 = -3*0 + c

-1 = c

Then the linear equation is:

y = -3*x - 1

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