Workers need to know the area of a park to determine how much grass
seed to order. A worker drew a sketch of the park to find its area. Which is
the area of the park?

A. 1365

B. 1640

C. 2160

D. 3180

Answer:

Lets solve it

4x-3 <5

4x<5+3

4x<8

x<8/4

x<2

So yes, two is a solution

Step-by-step explanation:

Answer:

\(4(2) - 3 \leqslant 5 \\ \: \: 8 - 3 \leqslant 5 \\ 5 \leqslant 5\)

I believe the answer is

\(yes\)

Step-by-step explanation:

i hope this helps!

An equation that can  can be used to find the number of sales Luke made this week is; 191 + 16.55x = ¹/₃(573 + 49.65x)

We are told to represent the number of sales as x.

Now, Luke works at a store and earns a fixed amount of $191 plus $16.55 per sale. This is represented as; 191 + 16.55x

Noah works at a different store and earns a fixed amount of $573 plus $49.65 per sale. This is represented as; 573 + 49.65x

We are told that they both made the same number of sales but Luke earned a third of what Noah earned. Thus;

191 + 16.55x = ¹/₃(573 + 49.65x)

An equation that can  can be used to find the number of sales Luke made this week is;

191 + 16.55x = ¹/₃(573 + 49.65x)

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Answer:

Step-by-step explanation:

first pic

Statement.                     Reasons

1. AC is congruent to     1.Given

  HF

2.BC is congruent to.     2. Given

FE

3. Measure angle ACB.   3. Right angles are congruent

is congruent to Measure

angle HFE

4. Triangle ABC is

congruent to Triangle HEF 4. SAS, side angle side

second pic

statement.                          reason

1.Angle K is congruent       1. Given

to angle M

2.KL equals ML.                  2. Given

3.Measure angle KLJ.         3.Vertical angles are congruent

is congruent to Measure

angle MLP

4Triangle JKL is congruent.  4. ASA, angle side angle

to triangle PML

third pic

statement.                    reason

1. Already stated.          1. Already stated

2 PT congruent to RS.   2. Given

3. Angle PQT congruent 3. Verticle angles are congruent

to Angle RQS

4. trianlge PQT is congruent to Triangle RQS.  4. ASA, angle side angle

( hope this helps! )

the first picture is the answer

for number 1, if you look in the upper left hand corner, you will have the answer for the first statement

Step-by-step explanation:

25^(4x) = (25^4)^x = (5^8)^x = 5^(8x).

In scientific notation, we represent the number 978,000 as 9.78 × \(10^5\).

Scientific notation is a way to specific very massive or very small numbers in a compact and standardized format.

It consists of two parts: a coefficient and an exponent of 10.

In the given quantity 978,000, we begin by using transferring the decimal factor to the left till there is solely one non-zero digit to the left of the decimal point.

In this case, we can pass the decimal factor three locations to the left to get 9.78.

Next, we be counted the wide variety of locations we moved the decimal point.

Since we moved it three locations to the left, the exponent of 10 will be 3.

Finally, we categorical the range as the product of the coefficient (9.78) and 10 raised to the strength of the exponent (3):

978,000 = 9.78 × 10^5

In scientific notation, the coefficient is constantly a wide variety between 1 and 10 (excluding 10) to preserve the popular form.

The exponent represents the quantity of locations the decimal factor used to be moved, indicating the scale of the authentic number.

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Answer:

Part A -  2/5 of a dollar

Part B - It shows that 10 pounds of cabbage cost $4

Step-by-step explanation:

If 5 pounds cost $2 then 1 pound costs 2/5 of a dollar.

(10,4) - 10 is the x-axis which is pounds and 4 is the y-axis which is $. So 10 pounds cost $4.

Answer:

51.5 m

Step-by-step explanation:

Plot the points B and C. Then substitute the points in the distance formula.

B(-35,-20)  

\(\sf x_1= -35 \ ; \ y_1=-20\)

C(-10,25)

\(\sf x_2=-10 \ ; \ y_2 = 25\)

        \(\sf \boxed{\bf Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\)

                          \(\sf = \sqrt{(-10-[-35])^2+(25-[-20])^2}\\\\=\sqrt{(-10+35)^2+(25+20)^2}\\\\=\sqrt{(25)^2+(45)^2}\\\\=\sqrt{625+2025}\\\\=\sqrt{2650}\\=51.5 \ m\)

Answer:

y=-2x-6

Step-by-step explanation:

y-10=-2(x-2)

distribute

y-10=-2x+4

subtract 10 from both sides

y=-2x-6

The graph of function y = f(x) will shift up 6 units.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

The given function y = f(x), will have to shift y=f(x+6)

So if we replace the above function accordingly, in the graph the main function will shift up 6 units

Hence, The graph of function y = f(x) will shift up 6 units.

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The correct internal moment expression in segment BC as a function of x with the origin at A is D) 5x - 25.

To determine the internal moment expression in segment BC, we need to consider the external forces acting on the segment. Based on the given information of 5 kN and 15 kN, the net external moment at any point x on segment BC can be calculated as the sum of the moments due to these forces.

Since the origin is at A, the expression for the internal moment can be derived by integrating the net external moment equation from the origin (A) to point x on segment BC. Solving this integration will lead to the correct expression of 5x - 25 for the internal moment in segment BC. So d is correct option.

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Answer:

D: -3/4

Step-by-step explanation:

Find points (-4,4) and (0,1)

Use slope formula and plug in points 1-4/0--4

That equals -3/4

A hint is if the right side of the line is pointing towards negative infinity or pointing to the bottom right of the graph instead of top right you know that the slope is negative so that rules out half the options. Hope I helped

Answer:

its d or b

Step-by-step explanation:

Answer:i think it is d

Step-by-step explanation:

Answer:

B goes to the neither parralell.A goes to the 2nd one and the last one goes to parell

Step-by-step explanation:

Answer:

135.07 mm2

Step-by-step explanation:

height = 10.39 mm

area = 135.07 mm2

Based on the given information, we can conclude that tuition at Penn State has increased more rapidly than inflation.

The price index measures the average change in prices of a basket of goods and services over time. In this case, the price index increased from 207.34 in 2007 to 226 in 2012, indicating an overall inflation rate of approximately 9% over that period. On the other hand, tuition at Penn State increased from $6,142 to $7,562, representing an increase of approximately 23%.

When comparing the rates of increase, we can see that tuition has outpaced inflation. This implies that the cost of education at Penn State has been rising more rapidly than the general increase in prices for goods and services. It suggests that factors specific to the education industry, such as rising costs of resources, facilities, and personnel, have contributed to the higher tuition rates.

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The complete question is:

Assume tuition at Penn State cost $6,142 (per semester) in 2007 and $7,562 in 2012. If the price index was 207.34 in 2007 and 226 in 2012, then we could say:

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer:

Hayley will have 200 milliliters of paint left.

Step-by-step explanation:

1 liter=1000 milliliter

1000-800=200

Answer:

305

Step-by-step explanation:

There are 1,000 milliliters in 1 liter.solveYou need to find how many milliliters of blue paint Annie has left. But first, you need to know how many milliliters she started with.There are 1,000 milliliters in a liter, so multiply 0.5 liters by 1,000.0.5×1,000=500Annie started with 500 milliliters of blue paint.Now, add to find how much blue paint Annie used for her beach painting. She used 75 milliliters of blue paint for the sky and 120 milliliters for the ocean.75+120=195Annie used 195 milliliters of blue paint in all.Now, find how much blue paint Annie has left. She started with 500 milliliters. Subtract the 195 milliliters she used.500–195=305Annie has 305 milliliters of blue paint left.

Answer:

Step-by-step explanation:

-2x + 6 = -6

-2x = -12

x = 6

Answer:

x = 6

Step-by-step explanation:

⚡Hi⚡

-2x + 6 = -6

2x = 12

x = 6

Delete my account please.

Answer:

x = 10

Step-by-step explanation:

The extra amount that Tim is expected to pay is approximately given by: Option D:  $57.88

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, the question is missing the fact that the size of the tank is 11.75 gallon and a gallon of gas costs $4.50.

So, the total cost of 11.75 gallon of gas is:

Cost of 11.75 gallon gas = 11.75 * 4.50 = 52.875 (in dollars)

Also from the question, the cost of refueling a vehicle is $5.00.

So, the total cost for refueling the car of Tim is:

Total cost = cost of gas + cost of refueling the car

Total cost  = 52.875 + 5.00

Total cost  = $57.875 ≈ $57.88

Thus, the extra amount that Tim is expected to pay is approximately  given by: Option D; $57.88

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Answer:

8/9

Step-by-step explanation:

both numbers are multiples of 9

Answer:

8:9 uwu

Step-by-step explanation:

Hope this helps everyone

The expression (15x - 6) / (7x - 6), where no denominator equals zero, is equivalent to (15x - 6) / (7x - 6).

To simplify the expression (15x - 6) / (7x - 6), we can start by factoring the numerator and the denominator if possible. However, since no denominator can equal zero, we need to ensure that the expression 7x - 6 is not equal to zero. Let's solve the equation 7x - 6 = 0 to find the value of x that makes the denominator zero.

7x - 6 = 0

7x = 6

x = 6/7

Since x = 6/7 is the value that makes the denominator zero, we cannot use this value in our simplified expression. Therefore, we need to exclude x = 6/7 from the domain of the expression.

Now, let's consider the remaining values of x that do not make the denominator zero. We can simplify the expression by dividing both the numerator and the denominator by their greatest common divisor. In this case, the greatest common divisor of 15x - 6 and 7x - 6 is 1 since there are no common factors other than 1.

Dividing both the numerator and the denominator by 1 yields:

(15x - 6) / (7x - 6)

Since we cannot further simplify the expression due to the restriction on the domain, the simplified form of the expression, where no denominator equals zero, is:

(15x - 6) / (7x - 6)

In summary, the expression (15x - 6) / (7x - 6), where no denominator equals zero, is equivalent to (15x - 6) / (7x - 6).

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Answer:

See photo #7

Step-by-step explanation:

To determine the surface area of the box, we need to find the area of each of its six sides and add them together. Let's start with the top and bottom of the box, which are both rectangles with length l and width w. The area of one of these rectangles is: l x w = 21 ft x 6 ft = 126 sq ft

Since there are two of these rectangles (top and bottom), we need to multiply this by 2 to get the total area of both:
2 x 126 sq ft = 252 sq ft

Next, let's look at the four vertical sides of the box, which are also rectangles. Each one has a height of h and a width of either l or w. The area of one of these rectangles is:
h x l = 8.5 ft x 21 ft = 178.5 sq ft

Again, there are two of these rectangles (front and back) with area 178.5 sq ft each, and two more (left and right) with area w x h = 6 ft x 8.5 ft = 51 sq ft each. So the total area of all four vertical sides is:
2 x 178.5 sq ft + 2 x 51 sq ft = 409 sq ft

Finally, we can add up the areas of all six sides to get the total surface area of the box:
252 sq ft + 409 sq ft = 661 sq ft

Therefore, the surface area of the box is 661 square feet.

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a) The sample mean years to maturity for corporate bonds = 16.9625

and the sample standard deviation =  8.2232

b) A 95% confidence interval for the population mean years to maturity: (14.4141, 19.5112)

c) The sample mean yield on corporate bonds is 4.5405

and the sample standard deviation = 2.3082

d) A 95% confidence interval for the population mean yield on corporate bonds:  (3.825, 5.256)

a) The mean of the sample would be,

\(\bar{x}\) = (10.25 + 28 +  23 + 13.25 + 3, 7.5 + 26.5 + 21.25 + 3.25, 19 + 9.25 + 28.75 + 1.75 + 17 + 8.75 + 24 + 24.5 + 18+ 11.75 + 22 + 22.75 + 27.75 + 16.75 + 12 + 16.5 + 23.75 + 25.25 + 25.75 + 22.5 + 1.25 + 19.5 + 12.5 + 27.25 + 19.5 + 17.75 + 11.5+ 3.5 + 20 + 25.25 + 6.75) / 40

\(\bar{x}\) = 678.5 / 40

\(\bar{x}\) = 16.9625

And  the sample standard deviation would be,

s = √(67.6203)

s =  8.2232

b)

We know that the formula for the confidence interval is,

CI = \(\bar{x}\) ± (z × s/√n)

Here, n = 40, \(\bar{x}\) = 16.9625, s = 8.2232 and z = 1.9600

Using above formula the 95% confidence interval for the population mean years to maturity would be,

CI = 16.9625 ± (1.9600 × 8.2232/√40)

CI = (16.9625 ± 2.548)

CI =  (16.9625 - 2.548,  16.9625 + 2.548)

CI = (14.4141, 19.5112)

c) Consider sample yield on corporate bonds.

The mean would be,

\(\bar{x}\) = 181.62 / 40

\(\bar{x}\) = 4.5405

And the standard deviation would be,

s = √(5.327594)

s = 2.3082

d) Now we construct a 95% confience interval.

Here, n = 40, s = 2.3082, \(\bar{x}\) = 4.4505, and z = 1.9600

Using above formula the 95% confidence interval for the population mean years to maturity would be,

CI =  4.4505 ± (1.9600 × 2.3082/√40)

CI = (4.5405 ± 0.716)

CI = (4.5405 - 0.716, 4.5405 + 0.716)

CI = (3.825, 5.256)

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Find the complete question below.

The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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It reaches a high of 51.8 degrees Fahrenheit. There is a 59.4 degree F range. 12.6 degrees Fahrenheit is the standard deviation. The average temperature is 33.8°F. The median temperature is 35.6 °F. IQR is 60.8 degrees Fahrenheit.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem. The study of gathering, analyzing, interpreting, presenting, and organizing data in a particular way is the focus of the mathematic branch known as statistics. The process of gathering data, classifying it, presenting it in a way that makes it understandable, and then conducting additional analyses of the data is known as statistics.

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No, p(x=5) = f(5) = 1/10 is not correct.

If x is a continuous random variable on the interval [0, 10], then the probability of x taking on any specific value (such as 5) is zero.

This is because there are infinitely many possible values that x can take on within the interval, and the probability of x taking on any one specific value is vanishingly small.

Instead, the probability of x falling within a certain range of values is what is meaningful.

This is typically represented by the probability density function (PDF) of the random variable, denoted as f(x). The probability of x falling within a range [a, b] is then given by the integral of the PDF over that range:

P(a <= x <= b) = integral from a to b of f(x) dx

For a continuous uniform distribution over the interval [0, 10], the PDF is a constant function:

f(x) = 1/10 for 0 <= x <= 10

f(x) = 0 otherwise

Using this PDF, we can find the probability of x falling within a specific range, but the probability of x taking on any one specific value is always zero:

P(x = 5) = 0

So, the statement "p(x=5) = f(5) = 1/10" is not correct for a continuous random variable.

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Answer:

Step-by-step explanation:

Let M(x,y) be the median of ΔABC through A to BC.M will be the midpoint of BC.x1​=5,y1​=3x2​=3,y2​=−1By midpoint formula, x=(x1​+x2​)/2∴x=(5+3)/2=8/2=4By midpoint formula, y=(y1​+y2​)/2∴y=(3+(−2))/2=2/2=1Hence the co-ordinates of M are (4,1).By diatnce formula, d(AM)=[(x2​−x1​)2+(y2​−y1​)2]​x1​=7,y1​=−3x2​=4,y2​=1