A textile artist is asked
to make a wall-hanging that measures at most
3.75 feet wide by 6.5 feet tall. When finished,
the wall hanging measures 3 3/8 feet wide by
6 3/4 feet tall. Does the wall hanging meet the
specifications?

Mr. Cho received 3840 eggs in the beginning.

Let's assume that Mr. Cho received x eggs in the beginning.

In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.

In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.

At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:

3/4 × x = 2/3 × x - 320

Multiplying both sides by 12, we get:

9x = 8x - 3840

Simplifying, we get:

x = 3840

Therefore, Mr. Cho received 3840 eggs in the beginning.

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The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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The volume of the hemisphere with a diameter of 60.9 inches rounded to the nearest tenth is 59131.7 inches³.

Given that,

Diameter of a hemisphere = 60.9 inches

We have to find the volume of the hemisphere.

We know that, radius is half the measure of the diameter.

Radius of the hemisphere = 60.9 / 2 = 30.45 inches

Volume of a hemisphere is,

Volume = 2/3 π r³

Here r is the radius

Substituting,

Volume = 2/3 π (30.45)³

             = 59131.7 inches³

Hence the volume is 59131.7 inches³.

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Work Shown:

The equation y = a*b^x updates to y = 1500*(1.08)^x

Plug x = 15 into the equation to find out how much money you have after 15 years.

y = 1500*(1.08)^x

y = 1500*(1.08)^15

y = 1500*(3.17216911419828)

y = 4758.25367129741

y = 4758.25

Don't forget to round to the nearest cent.

The distances are 13 unit, 5 unit and 10 unit respectively.

For given points,

P(0, -11) and Q(0, 2)

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Therefore,

Distance between PQ,

⇒ d = √ [(0)² + (2 + 11)²]

⇒ d = √ 169

⇒ d = 13 units

For given points,

A(0, 0) and B(-3, -4)

Distance between AB,

⇒ d = √ [(0+3)² + (0+4)²]

⇒ d = √ 25

⇒ d =  5 units

For given points,

C(8, 0) and D(0, -6)

Distance between CD,

⇒ d = √ [(0-8)² + (-6-0)²]

⇒ d = √100

⇒ d = 10

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Answer:

domain (-inf, +inf)

range [-30, +inf)

y-int = -30

x-int = -10, 3

Step-by-step explanation:

By taking a difference between mixed numbers, we can conclude that the distance left is 5/8 of a mile.

We know that the total length of the trail is 2½ miles, and Jorge hikes 1⁷/₈ miles before resting.

So the distance that he has left is equal to the difference between 2½ miles and 1⁷/₈ miles.

Remember that the mixed numbers can be rewritten as:

2½  = 2 + 1/2

1⁷/₈ = 1  + 7/8

So we need to find the difference:

(2 + 1/2) - (1 + 7/8) = ( 2  - 1) + (1/2 - 7/8)

= 1 + (4/8 - 7/8) = 1 - 3/8

Now we can simplify this so we get a single fraction:

1 - 3/8 = 8/8 - 3/8 = 5/8

From this, we can conclude that the distance left is 5/8 of a mile.

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Resources that are available in limited quantities on the earth are called Exhaustible resources.

The resources which are present in limited amounts are referred to as exhaustible resources. These resources can be consumed and end someday and are also termed non-renewable resources.

Exhaustible natural resources are available in a limited quantity and cannot be replaced within a reasonable period of time and have the risk of being exhausted by human activities. Such Resources take millions of years to form.

Exhaustible resources are usually not environmentally friendly since they are improperly and inefficiently used and are generally very expensive.

Coal, petroleum, and Forests are examples of exhaustible natural resources.

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Answer:

your answer will be X=30

Step-by-step explanation:

\(85 = 3x - 5\)

\(90 = 3x\)

\(x = 30\)

hope it helps you!!

A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.

In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.

Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).

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Answer:

it’s D dotted line with shading below

Step-by-step explanation:

i got it on my quiz

Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

Answer:

No

Step-by-step explanation:

The sum of any two sides of a triangle must be greater than the remaining side.

Here, 3+4=7 which is NOT greater than 11

Answer:

No there is no chance of the triangle having length 3,4 and 11

Answer:

The answer to your question is 7500

Step-by-step explanation:

All you do is multiply the mass value by 2000

\(3.75 x 2000 = 7500\)

I hope this helps and have a wonderful day!

Answer:

drippy pen iss

Step-by-step explanation:

Answer:

y=5x-5

Step-by-step explanation:

The slope of the graph is 5 and the Y intercept is (0,-5). Plug into slope intercept form : y=mx+b to get the equation.

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

a. The value of c in the probability mass function when x is a discrete random variable is 0.15

b. The value of P(x > 3)  is 0.25

c. The value of P(3 ≤ x ≤ 5) is 0.15

d.  the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

In probability mass function, sum of the probabilities for all possible values of x must be equal to 1

Thus,

0.2 + 2c + 0.2 + c + 0.1 = 1

Solve for c

c = 0.15

Hence, the probability mass function for x can be rewritten as;

x:      0     1     2   4     10

p(x): 0.2 0.3 0.2 0.15 0.1

To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10

sum of their  probabilities

P(x > 3) = P(x = 4) + P(x = 10)

= 0.15 + 0.1

= 0.25

To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:

P(3 ≤ x ≤ 5) = P(x = 4)

= 0.15

To find P(x < 6 | x ≥ 1), use the formula for conditional probability:

P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)

To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive

P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)

= 0.3

To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:

P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)

= 0.85

Therefore, we have

P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353

Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

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Answer:

\(\frac{3}{5}\) or 0.6

Step-by-step explanation:

This problem requires the slop formula which is \(\frac{y2-y1}{x2-x1}\)

You start with the first point which is (-1,1). This will be x1 and y1.

The next point is (4,4). This will be x2 and y2.

You plug these values into your equation which gives you \(\frac{4-1}{4-(-1)}\)

To solve, you evaluate, \(\frac{4-1}{4-(-1)}\)  = \(\frac{3}{5}\) or 0.6

Answer: what is the answer

Step-by-step explanation:

Answer:

  C  2 right triangles have congruent hypotenuses and another congruent side

Step-by-step explanation:

The HL theorem applies only to right triangles. In order for it to apply, the hypotenuse (H) must be congruent, and one legs (L) must be congruent from one triangle to the other.

__

If you recognize that HL is an abbreviation for Hypotenuse-Leg, then the wording of your answer choices tells you which is correct.

Answer:

c rotation

Step-by-step explanation:

Answer:

-136

Step-by-step explanation:

Given :

-17(|8|)

Mod of positive number is positive

So, |8|=8

-17(8)

=-136

Therefore,-17 mod 8 is -136

Answer

Rise/run = 20 miles/gallon

The equation of the line is y = 20x

Check Explanation for more.

Explanation

The rise-run is another name for the slope.

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

For this question,

(x₁, y₁) and (x₂, y₂) are (3, 60) and (4, 80)

x₁ = 3

y₁ = 60

x₂ = 4

y₂ = 80

The equation of the line is y = 20x

Hope this Helps!!!

Michelle was paid for that month is $ 4021.625

A linear equation is an algebraic equation of the form y=mx+b. regarding only a regular and a first-order (linear) time period, in which m is the slope and b is the y-intercept. on occasion, the above is called a "linear equation of two variables," where y and x are the variables.

Calculation:-

Percentage of commission = 10.5%

per week paid = $495.50

a. Equation of Michelle paid = 10.5/100X + 495.50

b. The total value of the kayaks she sold was $19 425.

  Michelle was paid for that month = 19 425 × 10.5/100 + 4 × 495.50

                                                          = 2039.625 + 1982

                                                          = $ 4021.625

A linear equation bureaucracy is an immediate line on a graph. A nonlinear equation paperwork an S-curve, bell curve, or any other nonlinear form on a graph. experts in mathematics and physics view linear equations as simple. specialists in mathematics and physics view nonlinear equations as complex.

A linear equation in a single variable is an equation wherein there is handiest one variable present. it is of the form Ax + B = 0, wherein A and B are any real numbers and x is an unknown variable that has the handiest one answer. for instance, 9x + 78 = 18 is a linear equation in one variable.

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Answer:

2x-5y=-3

Slope=  2.000 /0.800

​x-intercept=-3/2=-1.50000

y-intercept=3/5=0.60000

y=16-4x

Slope=-8.0000/2.0000=-4.000

x-intercept=16/4=4

y-intercept=6/1=16.00000

Step-by-step explanation:

The Use of  python programming language to find the differentiation of y= e^2x sin2x/cos 4x. is given in the image attached.

This programming code given in the image is one that uses SymPy's symbolic mathematics abilities to create a function, calculates its derivative, and then utilizes the lambdify feature to generate NumPy functions that can be applied to evaluate the function and its derivative at particular locations.

Therefore, through the use of matplotlib, a variety of x values are generated and the function and its derivative are plotted.

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Answer:

36° , 54° , 90°

Step-by-step explanation:

since the triangle is right then one angle is 90°

the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )

the sum of the 3 angles in the triangle is 180° , that is

3x + 2x + 90 = 180

5x + 90 = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

Then

3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

the 3 angles measure 36° , 54° , 90°

Answer:

The correct option is (B).

Step-by-step explanation:

The p-value is well-defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.

In this case, we need to test the claim that the majority of voters oppose a proposed school tax.

The hypothesis can be defined as follows:

H₀: The proportion of voters opposing a proposed school tax is not a majority, i.e. p ≤ 0.50.

Hₐ: The proportion of voters opposing a proposed school tax is a majority, i.e. p > 0.50.

It is provided that the test statistic value and p-value are:

z = 1.23

p-value = 0.1093

The probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic is 0.1093.

The significance level of the test is:

α = 0.05

The p-value of the test is larger than the significance level of the test.

p-value = 0.1093 > α = 0.05

The null hypothesis will not be rejected.

Concluding that there is not enough evidence to support the claim.

Thus, the correct option is:

"If the null hypothesis is true, then the probability of getting a test statistic that is as or more extreme than the calculated test statistic of 1.23 is 0.1093. This result is not surprising (or considered unusual) and could easily happen by chance"

The required exact value of cos ∠XYZ is 11/16, as of the given triangle.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
From the triangle,
a = 6 m, b = 8 m, c = 7 m

Apply the cosine rule, for ∠XYZ
CosY = b² + c² - a² / 2bc
CosY = 8² + 7² - 6² / 2×8×7
CosY = 77 /16×7
CosY = 11/16

Thus, the required exact value of cos ∠XYZ is 11/16, as of the given triangle.

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