119+x/12 square root 119=12 square root 119/119 similar triangles

The even integers are 10,12 and 14.

Concept:  An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not.

Let x,x+2,x+4 be the least, middle and greatest integer respectively.

According to the question,

15< x+x+2+x+4< 21

(3x+6)/2> 15      and    (3x+6)/2< 21

30< 3x+6                      3x+6> 42

24<3x                            3x<36

8<x                                x>12

x=10

x+2=12

x+4=14

Hence, The even integers are 10,12 and 14.

For more information about integers, visit

https://brainly.com/question/17695139

#SPJ4

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

Answer:

X=80

Step-by-step explanation:

I suppose the graph will be like this:

Since isosceles trapezoid, red lines are parallel.

X+x+20= 180

2x+20=180

2x=160

X=80

Answer:

occurred during the same period of time

Step-by-step explanation:

The word "while" indicates two events ("I was studying" and "she was making dinner") happening at the same time.

Answer:

y=2/3

y=4

x=1

Step-by-step explanation:

y=2/3

y=x+3

x= -2x+3

x+2x=3

3x=3

x=3/3

x=1

The solution to the system of equations is y=2/3 and x=1.

We have given that,

y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 3.

x equals negative 2.

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

y=2/3

y=x+3

x= -2x+3

x+2x=3

3x=3

x=3/3

x=1

The solution to the system of equations is y=2/3 and x=1.

To learn more about the solution system visit:

https://brainly.com/question/2226590

#SPJ5

Answer:

x =11

Step-by-step explanation:

XWY + YXZ = XWZ

5x+5  + 2x+8 = 90

Combine like terms

7x+ 13 = 90

Subtract 13 from each side

7x= 90-13

7x = 77

Divide by 7

7x/7 = 77/7

x = 11

Step-by-step explanation:

x = number of games played

c = total cost of game session

x = (c - 5)/1.25

we need to deduct the R 5 entrance fee from the total price (as this has to be paid, even if he did not pay a single game in there).

and for the remaining amount we check how often the price of 1 game fits into this renaming amount. and then we know the number of games he played.

in our specific situation c = 26.25

x = (26.25 - 5)/1.25 = 21.25/1.25 = 17

Melvin played 17 games.

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

Answer:

5

Step-by-step explanation:

Remember, PEMDAS!

21 - 17 = 4, and 3 x 7 is 21.

21 + 4 = 25.

25/5 = 5!

Answer:

1.54

Step-by-step explanation:

\(\frac{(21-17)+3.7}{5}\) ← evaluate parenthesis

= \(\frac{4+3.7}{5}\) ← sum the numerator

= \(\frac{7.7}{5}\) ← divide 7.7 by 5

= 1.54

The total outer perimeter of the composite shape is: 90.12 ft

The outer perimeter here will simply be the length of the boundary of the composite shape.

Formula for circumference of a semi circle is:

C = πr

where r is radius = 16/2 = 8 ft

Thus:

C = 3.14 * 8

C = 25.12 ft

Thus:

Total Perimeter of outer sides = 20 + 15 + 20 + 10 + 25.12

= 90.12 ft

Read more about Composite Shape Perimeter at: https://brainly.com/question/28838199

#SPJ1

1. The area of the scale drawing of the park is 146,880 square inches (Option J).

2. The perimeter of the park is 126 feet (Option D).

3. The length of the south side of the park is 40% of the length of the north side (Option F).

1. To find the area of the scale drawing of the park, we need to calculate the area of the trapezium. The formula for the area of a trapezium is (base1 + base2) * height / 2.

Using the scale, the lengths of the bases (parallel sides) in feet would be:

Base1 = 28 inches * 1.5 feet/inch = 42 feet

Base2 = 40 inches * 1.5 feet/inch = 60 feet

Plugging in the values into the formula, we have:

Area = (42 + 60) * 16 / 2 = 1020 square feet

Since the answer options are in square inches, we need to convert the area back to square inches:

Area = 1020 square feet * 144 square inches/square foot = 146880 square inches

Therefore, the area of the scale drawing of the park is 146880 square inches.

2. The perimeter of the park can be calculated by summing up the lengths of all sides.

The lengths of the sides in feet would be:

Side1 = 28 inches * 1.5 feet/inch = 42 feet

Side2 = 40 inches * 1.5 feet/inch = 60 feet

Side3 = 16 inches * 1.5 feet/inch = 24 feet

Adding up all sides, we have:

Perimeter = Side1 + Side2 + Side3 = 42 feet + 60 feet + 24 feet = 126 feet

Therefore, the perimeter of the park is 126 feet.

3. To find the percentage length of the south side compared to the north side, we can calculate:

Percentage = (South Side Length / North Side Length) * 100

Using the scale, the length of the south side in feet would be:

South Side Length = 16 inches * 1.5 feet/inch = 24 feet

The length of the north side is already given as 40 inches * 1.5 feet/inch = 60 feet.

Plugging in the values, we have:

Percentage = (24 feet / 60 feet) * 100 = 40%

Therefore, the length of the south side of the park is 40% of the length of the north side.

Complete Question:

Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and the radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet.

1. What is the area, in square inches, of the scale drawing of the park? 448 544 H. 640 672 K. 1.088

2. Mikea's proposal includes installing a fence on the perimeter of the park. What is the perimeter, in feet, of the park? A. 84 B. 88 C. 104 D. 126 E 156

3. The length of the south side of the park is what percent of the length of the north side? F. 112% G. 1245 H. 142 J. 1754 K. 250%

To know more about area, refer here:

https://brainly.com/question/28513945

#SPJ4

The measure of angle ABC is equal to the measure of angle AOC, and there is no inequality or proportionality between them.

What is the arc of a circle?

An arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.

When two angles intercept the same arc of a circle, they are said to be inscribed in the same arc.

By definition, the measure of an inscribed angle is half the measure of the intercepted arc.

Therefore, if two angles intercept the same arc, they must have the same measure.

In this case, angles ABC and AOC intercept the same minor arc AC of circle O.

Therefore, they must have the same measure, and the relationship between m∠ABC and m∠AOC is:

m∠ABC = m∠AOC

Hence, the measure of angle ABC is equal to the measure of angle AOC, and there is no inequality or proportionality between them.

To learn more about the arc of a circle visit:

https://brainly.com/question/29061902

#SPJ1

Answer:

(B) 32.75 lb.

Step-by-step explanation:

We know that 1 pound (lb) is equal to 16 ounces (oz). Therefore, to convert 32 lb 12 oz to pounds, we need to first convert the 12 oz to pounds and then add it to 32 lb.

12 oz ÷ 16 oz/lb = 0.75 lb

So, 32 lb 12 oz is equal to:

32 lb + 0.75 lb = 32.75 lb

Therefore, the answer is (B) 32.75 lb.

(Reference to Chatgpts work)

Answer:

last one its not correct

Step-by-step explanation:

Answer: go look on yt there’s a good video on this one

Step-by-step explanation:

We reject the null hypothesis and conclude that there is evidence to suggest that the proportion of students who would score a 5 on the AP statistics exam when taught by the teacher in Worcester using cash incentives is higher than the worldwide proportion of 0.15.

Based on the given information, the null hypothesis would be that the proportion of students who scored a 5 on the AP statistics exam when taught by the teacher in Worcester using cash incentives is equal to the worldwide proportion of 0.15. The alternative hypothesis would be that the proportion is higher than 0.15.
To test this hypothesis, we can use a one-sample proportion test. The sample proportion is 15/61, or 0.245. Using this and the sample size, we can calculate the test statistic z = (0.245 - 0.15) / sqrt(0.15 * 0.85 / 61) = 2.26. The P-value for this test is P(z > 2.26) = 0.012, which is less than the typical alpha level of 0.05. Therefore, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of students who would score a 5 on the AP statistics exam when taught by the teacher in Worcester using cash incentives is higher than the worldwide proportion of 0.15.
However, this study alone cannot provide actual evidence that cash incentives cause an increase in the proportion of 5's on the AP statistics exam. There could be other factors that contribute to the higher proportion, such as the teacher's teaching style or the motivation of the students. A randomized controlled trial would be needed to establish a causal relationship between cash incentives and student performance.

To know more about statistics visit :

https://brainly.com/question/15109187

#SPJ11

Answer:

6/5t + 4/15s - 3

Step-by-step explanation:

(-4/5t + 5/3s) + (-3 -7/5s + 2t)

You can only add like terms together so convert like terms to have the same denominator:

(-4/5t + 25/15s) + (-3 - 21/15s + 10/5t)

Get rid of the parentheses:

-4/5t + 25/15s - 3 - 21/15s + 10/5t

Combine like terms:

6/5t + 4/15s - 3

Answer:

x= -6

Step-by-step explanation:

-8=x-2

add 2 on both sides

-8+2=x

-6=x

x=-6

Answer:

_ 6= x

Step-by-step explanation:

this is because you have to ADD 2 to both sides

Answer:

y = 8x + 38

Step-by-step explanation:

To find the slope we set up y = mx + b and plug m (our slope) in and then plug in the point into x and y to find b (our y-intercept)

   y = mx + b

   y = 8x + b

   6 = 8(-4) + b

   6 = -32 + b

+32   +32

 38 = b

So using our slope and our intercept we have our slope intercept

y = mx + b

y = 8x + 38

Hope this helps :)

Answer:

y - y1 = m(x - x1)

y - 6 = 8(x - (-4))

y - 6 = 8(x + 4)

y - 6 = 8x + 32

y = 8x + 32 + 6

y = 8x + 38

Step-by-step explanation:

First you input the given values ( m = 8 and (-4, 6)) into the point-slope equation.

After that, you multiply the 8 by the two terms inside the parentheses, giving you 8x and 32.

Then you add 6 to both sides of the equation to isolate the y.

The slope-intercept equation ends up looking like this: y = 8x + 38

Hope this helps :)

Answer:

umm well i honestly forgot!

Step-by-step explanation:

but here is a fun fact During your lifetime, you will produce enough saliva

The given equation is:  E=17/20 D  , where  E=amount of Euros and D= amount of U.S dollar.

Now for 1 U.S dollar, we need to plug D=1 into the above equation. So, we will get.........

E=17/20(1)

E=1/20=0.85

0.85 Euros have the same amount as 1 U.S dollar.

This transforms the region R to a unit circle centered at the origin, and the integral becomes 1/24 times the integral of sin(u^2 + v^2) over the unit circle. We evaluate this integral using polar coordinates, which leads to the final answer of (π/6) [1 - cos(1)].

We make the change of variables u = 3x and v = 8y. This transforms the region R to the region D in the uv-plane bounded by the ellipse u^2 + v^2 = 1/9. The Jacobian of this transformation is J = 24, which gives us the new integral

∬_D 4 sin(9x^2 + 64y^2) dA = ∬_R 4 sin(u^2 + v^2) (1/24) dA.

To evaluate this integral, we switch to polar coordinates in the uv-plane:

u = r cos θ, v = r sin θ, J = r.

The integral becomes

(1/24) ∫_0^π/2 ∫_0^1 4 sin(r^2) r dr dθ.

The inner integral is

∫_0^1 4 sin(r^2) r dr = -1/2 cos(r^2)|_0^1 = (1/2)(1 - cos(1)).

The outer integral is

(1/24) ∫_0^π/2 (1/2)(1 - cos(1)) dθ = (π/6) (1 - cos(1)).

Therefore, the value of the original integral is (π/6) [1 - cos(1)].

Learn more about Integral:

brainly.com/question/31433890

#SPJ11

Answer:

y = 7*(2)^x

Step-by-step explanation:

We know that we have a function of the form:

y = a*b^x

Such that a and b are real numbers, and b also needs to be a positive number.

Such that this function passes through the points (3, 56) and (5, 224)

This means that:

56 = a*b^3

224 = a*b^5

So we have a system of two equations with two variables.

To solve this, we can take the quotient of the two equations (such that the second one is on the numerator) then we get:

(224/56) = (a*b^5)/(a*b^3)

4 = (a/a)*(b^5/b^3) = b^(5 - 3) = b^2

4 = b^2

Then we get:

√4 = b = 2

(because b needs to be positive we only care for the positive square root of 4)

The equation is something like:

y = a*(2)^x

Now we can use again the point (3, 56), so:

56 = a*(2)^3 = a*8

56 = a*8

56/8 = a = 7

Then the exponential equation is:

y = 7*(2)^x

Answer:

m= -1

Step-by-step explanation:

c) It would be larger, because higher confidence requires a larger margin of error.

When increasing the confidence level from 95% to 99%, the margin of error of the confidence interval tends to increase. This is because a higher confidence level means we want to be more certain or have a higher level of confidence in capturing the true population parameter.

To achieve a higher confidence level, we need to widen the interval to account for more potential variability in the population. As a result, the margin of error increases, reflecting the increased uncertainty and the need for a larger range of values to capture the true population parameter with higher confidence.

Therefore, the margin of error of a 99% confidence interval, based on the same sample, would be larger compared to the 95% interval.

To learn more about margin of error, refer below:

https://brainly.com/question/18685964

#SPJ11

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

\( A_{t} = A_{r} + 2A_{c} \)                

\( A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) \)      

Where:

x: is one side of the rectangle = 30 m            

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

\( A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} \)                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    

Answer:

1222

Step-by-step explanation:

sorry youve been waiting a minute

Answer:

Rewrite the expression using the negative exponent rule   [text]{b}^{-n } = 1/bn

Step-by-step explanation:

1/y^3

Answer:

7. Approximately 402.7 inches or 2pi times 64

8. 31.83 To solve this you know 2pi r is an equation for the radius. 2πr=200 and r=200/2π=100/π= 31.83.

9. The one with pi in the equation because 3.14 is only a piece of pi but the symbol represents the whole number which goes on forever.

Step-by-step explanation: