Use the drawing and the provided ruler. Each centimeter in the drawing represents 5 feet. The perimeter of the blue perennial bed is ___ feet. The perimeter of the green perennial bed is ___ feet.

Answer:

294250 people will be there after 9 years if the population is increased 3.75% annually.

Step-by-step explanation:

First, 3.75% of 220000

then multiply the answer with 9.

again add the answer with 220000.

hence your answer came.

try it. Hope it helps

The shaded rectangle has a surface area of 14 square units, according to the supplied statement.

Four-sided rectangles have interior angles that are all precisely 90 degrees. The two sides meet at a right angle at every edge or vertex. So its opposite sides are identical lengths, the oblong differs from a square.

The frame's known width is two units, and both the rectangular and the frame have the following dimensions:

width = 6 units

length = 11 units

Now, each measure will drop by 2*2 units, or 4 units, if the frame is removed (because for each measure we have the frame in both sides).

So, the measurements for the rectangle in shading are:

width = 6 units - 4 units = 2 units

length = 11 units - 4 units = 7 units.

And since the ratio of a rectangle's width and length determines its area, we may calculate:

A = (2 units)*(7 units) = 14 square units.

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The complete question is-

One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 2 unit wide.

6

11

The coordinates of the image of the square KLMN are:

K = (0, -1)

L = (2, -1)

M = (2, 1)

N = (0, 1)

The graph of the image is given below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of the square KLMN are:

K = (6, -5)

L = (8, -5)

M = (8, -3)

N = (6, -3)

Now,

Translation of 6 units left and 4 units up.

This means,

K = (6 - 6, -5 + 4) = (0, -1)

L = (8 - 6, -5 + 4) = (2, -1)

M = (8 - 6, -3 + 4) = (2, 1)

N = (6 - 6, -3 + 4) = (0, 1)

Thus,

The image of the square KLMN will be on the following coordinates.

K = (0, -1)

L = (2, -1)

M = (2, 1)

N = (0, 1)

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The company must produce and sell 80 purses to break even.

The term break even means to reach a point in a business when the profits are equal to the costs.

To calculate the company break even, let x be the number of purses the company must produce and sell to break even. To break even, the total revenue from selling x purses must equal the total cost of producing x purses.

The revenue from selling x purses at $67 per purse is 67x. The cost of producing x purses is the sum of the fixed cost of $880 and the variable cost of $56 per purse, which is 880 + 56x.

Therefore, to break even, we need to solve the equation:

\(67x = 880 + 56x\\67x - 56x = 880\\11x = 880\\x = 880/11\\x = 80\)

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Answer:

4

1

6

Step-by-step explanation:

so you have to multiple the x's by 1/3

so 4

1

6

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Answer:45% of 51.75=23.2875

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 51.75 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 51.75 is 100%, so we can write it down as 51.75=100%.

4. We know, that x is 45% of the output value, so we can write it down as x=45%.

5. Now we have two simple equations:

1) 51.75=100%

2) x=45%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

51.75/x=100%/45%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 45% of 51.75

51.75/x=100/45

(51.75/x)*x=(100/45)*x       - we multiply both sides of the equation by x

51.75=2.2222222222222*x       - we divide both sides of the equation by (2.2222222222222) to get x

51.75/2.2222222222222=x

23.2875=x

x=23.2875

now we have:

45% of 51.75=23.2875

Thus, the radius of the right circular cylinder as 2 inches for the given values of lateral surface area (LSA) and volume.

To find the radius of the right circular cylinder, we will use the given lateral surface area (LSA) and volume. The formulas for these are:

LSA = 2 * pi * r * h

Volume = pi * r^2 * h

Where r is the radius, and h is the height of the cylinder.

We are given LSA = 3.5 square inches and Volume = 3.5 cubic inches. Let's plug these values into the formulas:

3.5 = 2 * pi * r * h (1)

3.5 = pi * r^2 * h (2)

Now, we want to isolate the radius. To do this, we can solve equation (1) for h:

h = 3.5 / (2 * pi * r)

Now, substitute this expression for h into equation (2):

3.5 = pi * r^2 * (3.5 / (2 * pi * r))

Simplify the equation by cancelling out pi and 3.5:

1 = r * (1 / (2 * r))

Multiply both sides by 2 * r:

2 * r = r^2

Now, solve for r:

r^2 - 2 * r = 0

r(r - 2) = 0

This gives us two possible values for r: r = 0 and r = 2. Since the radius cannot be 0, we have the radius of the right circular cylinder as 2 inches.

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According to the question The rate at which the base is changing is 0 cm/min, as it remains constant.

To solve this problem, we can use the relationship between the area, altitude, and base of a triangle. The formula for the area of a triangle is given by:

Area = (1/2) * base * altitude

We are given that the altitude is increasing at a rate of 2.5 centimeters/minute and the area is increasing at a rate of 2.5 square centimeters/minute. We need to find the rate at which the base is changing.

Let's denote the altitude as h, the base as b, and the area as A. We have the following equations:

dA/dt = (1/2) * b * dh/dt   (differentiating the area equation with respect to time)

dh/dt = 2.5 cm/min   (given)

dA/dt = 2.5 cm^2/min   (given)

Now we can substitute the given values into the equations and solve for db/dt, the rate at which the base is changing:

2.5 = (1/2) * b * 2.5

2.5 = 1.25b

b = 2 cm

So, when the altitude is 8 centimeters and the area is 81 square centimeters, the base is 2 centimeters. Therefore, the rate at which the base is changing is 0 cm/min, as it remains constant.

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When the number 410 is changed to 310 in the list of student numbers for the 10 schools in the district:

(a) The mean increases by 0.9.

(b) The median decreases by 7.

(a) The mean is calculated by summing up all the values and dividing by the total number of values.

Let's compare the mean before and after the change in the number 410.

Before the change:

Mean = (170 + 194 + 303 + 309 + 316 + 330 + 368 + 371 + 379 + 410) / 10 = 308

After the change (410 changed to 310):

Mean = (170 + 194 + 303 + 309 + 316 + 330 + 368 + 371 + 379 + 310) / 10 = 308.9

Comparing the mean before and after the change, we can see that the mean increases by 0.9.

(b) The median is the middle value of a sorted dataset. In this case, the median is the value that separates the lower half from the upper half when the numbers are arranged in ascending order.

Before the change:

Median = 316

After the change (410 changed to 310):

Median = 309

Comparing the median before and after the change, we can see that the median decreases by 7.

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The numbers of students in the 10 schools in a district are given below. (Note that these are already ordered from least to greatest.) 170, 194, 303, 309, 316, 330, 368, 371, 379, 410 Suppose that the number 410 from this list changes to 310. Answer the following. (a) What happens to the mean? It decreases by It increases by It stays the same. It decreases by It increases by It stays the same. (b) What happens to the median

A)The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

B) The probability of at least two buses arriving in the next 2 hours is =0.865

C)  The probability of no buses arriving in the next 2 hours is =0.135

d) The probability that it will be between 30 and 90 minutes before the next bus arrives is ,0.185

a) Let \($X$\) be the number of buses that arrive in a 2-hour period. Since the time between arrivals of buses follows an exponential distribution with a mean of 60 minutes, the arrival rate λ is given by\($\lambda=1 / 60$\) 0 buses per minute.

Therefore, the number of buses that arrive in a 2-hour period is a Poisson distribution with parameter \(\mu=\lambda t=(1 / 60) \times 120=2$.\). Thus, X has a Poisson distribution with parameter μ = 2.

The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

b) The probability of at least two buses arriving in the next 2 hours is

\($P(X \geq 2)=1-P(X=0)-P(X=1)=1-e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)-e^{\wedge}(-2)\left(2^{\wedge} 1 / 1 !\right)=0.865$.\)

c) The probability of no buses arriving in the next 2 hours is

\(P(X=0)=$ $e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)=0.135$\)

d) Let Y be the time between the first and second bus arrivals. Then Y follows an exponential distribution with a mean of 60 minutes. We want to find the probability that \($30 \leq Y \leq 90$\).

This is equivalent to finding \(P(Y \leq$ $90)-P(Y \leq 30)$,\), which is equal to F(90) - F(30), where F is the cumulative distribution function of the exponential distribution with \($\lambda=1 / 60$\)

Therefore, the probability that it will be between 30 and 90 minutes before the next bus arrives is\(F(90)-F(30)=\left(1-e^{\wedge}(-90 / 60)\right)-(1$ $\left.e^{\wedge}(-30 / 60)\right)=e^{\wedge}(-1.5)-e^{\wedge}(-0.5)=0.185$\)

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Answer:

Yes i agree

Step-by-step explanation: The equation is there for a reason and if an answer does not fir the equation it can be linear so therefore the equation y=7 is not linear.

Answer:

18. d

19. c (not sure)

20. c

Answer:

18) d. Synopsis

19) c. Duration

20) c. Pacify

Step-by-step explanation:

18) When you don’t wanna give the full version of a story sum it up; give a summary or synopsis!

19) Uh tbh it just makes the most sense in context of the sentence, read it all together and you’ll see ;)

20) In the sentence it says “calm down” only way to calm someone down is to pacify them or give them what they want… in this context she needs to pacify them. Plus it just makes sense.

Hope this helps, good luck have a good day!

The coordinate of the centre of the circle inscribed in a triangle whose vertices are (−36,7), (20,7) and (0,−8) is (-1,0).

The formula for calculating the coordinate of the centre of the circle inscribed in a triangle whose vertices are \((x1,y1), (x2,y2), (x3,y3)\):

(x,y) = \((\frac{ax1+bx2+cx3}{a+b+c} , \frac{ay1+by2+cy3}{a+b+c})\)

where,

a is the side of triangle opposite vertex (x1, y1)

b is the side of triangle opposite vertex (x2, y2)

c is the side of triangle opposite vertex (x3, y3)

Given vertices of triangle as (−36,7), (20,7) and (0,−8),

By distance formula,

a = \(\sqrt{(20-0)^2+(7+8)^2}\) = 25

b= \(\sqrt{(-36-0)^2+(7+8)^2}\) = 39

c = \(\sqrt{(20+36)^2+(7-7)^2}\) = 56

The coordinates of triangle become:

x = \(\frac{25*-36 + 39*20 +0*56}{25+39+56}\) = -1

y = \(\frac{7*25+39*7-8*56}{25+39+56}\) = 0

(x,y) = (-1,0)

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The complete question is given below:

Find the coordinates of the centre of the circle inscribed in a triangle whose vertices are (−36,7), (20,7) and (0,−8) ?

Answer:If p and q vary inversely, it means that their product remains constant. So we can set up the equation:

p * q = k

where k is the constant of variation.

Given that p is 29 when q is 25, we can substitute these values into the equation:

29 * 25 = k

725 = k

Now, let's determine the value of q when p is equal to 5:

p * q = k

5 * q = 725

Dividing both sides of the equation by 5:

q = 725 / 5

q = 145

Therefore, when p is equal to 5, q is equal to 145.

Step-by-step explanation:

Answer:p1q1=p2q2

q1=25,p1=29;

p2=5,q2=?;

q2=p1q1/p2;

q2=25*29/5;

q2=29*5;

q2=145.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here is what the mixed number looks like. \(W\frac{R}{D}\)

W- whole numbers (that is the integers)

R- remainder

D- denominator

If you ever want to convert an improper fraction to a mixed number, here are the steps.

Step 1: Use traditional division. How many does 3 goes into 7? 2 times with remainder, R=1 (how many is left over after dividing).

Step 2: Replace the unknowns with D=3

Note: the denominator always stays the same!

\(2\frac{1}{3}\)

The mass of Stewart's favorite frying pan in grams is 520 grams.

To convert the mass of Stewart's favorite frying pan from kilograms to grams, you simply need to multiply the mass in kilograms by 1000, since there are 1000 grams in 1 kilogram. In this case, the mass of the frying pan is 0.52 kilograms. To find the mass in grams, you can perform the following calculation:
0.52 kg × 1000 g/kg = 520 g
So, the mass of Stewart's favorite frying pan in grams is 520 grams.

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The coordinates of the point that partitions the segment into a ratio of 4 to 3 are approximately (-7.76, -3.63) and (8.58, -1.01).

To discover the coordinates of the factor that walls the directed line phase from (−10, 2) to (−3, −5) right into a ratio of 4 to 3, we will use the following steps:

step 1: discover the total distance of the phase

to find the full distance of the segment, we are able to use the distance formula:

d = √ ((x2 - x1)² + (y2 - y1)²)

plugging within the given coordinates, we get:

d = √ ((-3 - (-10))² + (-5 - 2)²)

d = √ (49 + 49)

d = √ (98)

therefore, the overall distance of the phase is √ 98.

Step 2: find the coordinates of the partition point

to permit the partition points to be (x, y). We can set up the subsequent equation based on the ratio of 4 to 3:

√ ((x - (-10))² + (y - 2)²) / √ ((x - (-3))² + (y - (-5))²) = 4/3

simplifying this equation, we get:

3√ ((x + 10)² + (y - 2)²) = 4√ ((x + 3)² + (y + 5)²)

squaring both facets and simplifying, we get:

25x² - 242x - 75y² + 200y + 1859 = zero

fixing for y in terms of x, we get

y = (4x - 319) / 75

substituting this into one of the coordinates of the authentic section, we will remedy for x:

-5 = (3(x + 3) + 4(2x - 319)/75) / 7

simplifying this equation, we get:

25x² - 913x + 16728 = 0

the use of the quadratic system, we get:

x = (-(-913) ± √ ((-913)² - 4(25)(16728))) / (2(25))

x ≈ -7. 76 or x ≈ 8. 58

substituting these values back into the equation for y, we get:

y ≈ -3. 63 or y ≈ -1. 01

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Answer:

1.)36

2.)54

Step-by-step explanation:

sana po makatulong gehehe

Answer:

x=6 , y=17

Step-by-step explanation

3x-1=2x+5

    +1   -2x

x=6

plug in 6 for x to solve y

The equation of the Amount paid for a trip is given by:

where x is the number of miles of the trip, while y is the total amount paid for the trip.

If we are to use a graph to solve the problem, we need a table of values first.

We shall choose 5 values for x which range from (0 to 10) in steps of 2.

The corresponding y values must be gotten by substituting these x values into the equation of the trip given above.

From the calculations done above, we have the coordinates of our graph to be:

(0, 3)

(2, 4)

(4, 5)

(6, 6)

(8, 7)

(10, 8)

Thus, we can create our table of values:

Thus, with this table of values, we can plot the graph. The plotted graph is shown below:

Therefore, the total number of miles you can travel with $20 is 34 miles

Answer:

y=40°

Z + Y = 70°

z. = 70°-40°

z. = 30°

POH=X

=180-70

=110°

The surface area of the cylinder, given the diameter, can be found to be 18. 84 inch .

The surface area of a cylinder can be found by the formula :

= 2 π r ² + 2 π h

The radius can be found to be:

= Diameter / 2

= 2 / 2

= 1 inch

The value of π is 3. 14.

This means the surface area would be:

= (2 x 3. 14 x 1 x 1) + (2 x 3. 14 x 1 x 2 )

= 6. 28 + 12. 56

= 18. 84 inch

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From the analysis of the above math, the amount she invested in the CD account is 5,000. See the analysis below.

Let A be the amount invested in the CD.

Let B be the amount invested in the savings bond.

A + B = 15, 000

.04A + .07B = 900

Multiply the first equation by -.04 and add it to the second equation to get rid of the A term.

-.04A-.04B = -600  add this equation to the second equation.

.03B = 300  multiplying by 100.  3B = 30,000

dividing by 3 on both sides: B = 10,000.  So A = 5,000

So she invested 5,000 in the CD account

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Answer:

1. 665.1075

Step-by-step explanation:

the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon

Distance and recession velocity the Hubble relation links two characteristics of distant objects in the universe:

their redshift and their distance from Earth. This relationship is crucial for understanding the expansion of the universe, as it helps us measure the distances to faraway celestial objects and study their motion relative to us.

What are Distance Sensors?

Distance sensors, as the name implies, are used to determine the distance of an object from another object or barrier without the use of physical touch (unlike a measuring tape, for example).

What is the sensor equation?

The sensor size may be estimated by multiplying the pixel size by the resolution along each of the two dimensions. The focal length may be computed using the formula: Focal Length x FOV = Sensor Size x Working Distance.

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The smallest number by which 3^6 * 3^5 must be multiplied (or divided) to become a perfect square is 2.

To find the smallest number by which 3^6 * 3^5 must be multiplied (or divided) so that the product (or quotient) becomes a perfect square,

First, let's simplify the expression 3^6 * 3^5 by using the exponent rule for multiplication. When we multiply numbers with the same base, we add the exponents:

3^6 * 3^5 = 3^(6+5) = 3^11.

Now, we have 3^11. To make this expression a perfect square, we need the exponent to be an even number. In this case, we want the exponent of 3 to be divisible by 2.

The smallest number by which we can multiply 3^11 to make it a perfect square is 2. By multiplying 3^11 by 2, we get:

2 * 3^11 = (2^2) * (3^11) = (2*3)^11 = 6^11.

Now, 6^11 is a perfect square because the exponent of 6 (11) is divisible by 2. Therefore, the smallest number by which 3^6 * 3^5 must be multiplied to become a perfect square is 2.


To find the smallest number by which 3^6 * 3^5 must be multiplied (or divided) so that the product (or quotient) becomes a perfect square, we need to simplify the expression 3^6 * 3^5. By applying the exponent rule for multiplication, we can add the exponents:

3^6 * 3^5 = 3^(6+5) = 3^11.

Now, we have the expression 3^11. To make it a perfect square, we need the exponent of 3 to be divisible by 2. Since 11 is an odd number, we need to multiply or divide 3^11 by a number that will make the exponent even.

The smallest number by which we can multiply 3^11 to make it a perfect square is 2. By multiplying 3^11 by 2, we get:

2 * 3^11 = (2^1) * (3^11) = (2*3)^11 = 6^11.

Now, 6^11 is a perfect square because the exponent of 6 (11) is divisible by 2.

Therefore, the smallest number by which 3^6 * 3^5 must be multiplied (or divided) to become a perfect square is 2.

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Answer:

Jada’s neighbor is 16 years of age

Step-by-step explanation:

In this question, we are interested in calculating the age of Jada’s neighbor, given the information in the question.

Let the present age of the neighbor be x years

Her age in 4 years will be x + 4 years old

Her age 4 years ago was x -4 years old

Now, the difference between twice her age in 4 years minus twice her age 4 years ago is her present age.

mathematically that means;

2(x+ 4) - 2(x -4 ) = x

2x + 8 - 2x +8 = x

16-0 = x

x = 16 years

Answer:

3.1m pole has 1.65m shadow

??? building casts 44.75 m shadow

3.1 / 1.65 = x / 44.75

x = 44.75 * 3.1 / 1.65

x = 138.725 / 1.65

building height = 84.076 meters

Step-by-step explanation: