The area of an unknown shape is represented by the expression 1672 - 104x + 169. If X represents an integer, what shape could this figure be? b) What is the smallest possible area of the figure? c) What is the smallest possible perimeter of the figure? 6. The length of the base of a rectangular prism is 2 m more than its width, and the height of the prism is 15 m. a) Write an algebraic expression for the volume of the rectangular prism. b) If the volume of the prism is 2145 m, write an equation to model the situation. c) Solve the equation by factoring. What are the dimensions of the base of the rectangular prism? d) Make up a similar problem complete with a solution. 7. Jacinta pilots a small plane. Last weekend she was flying at an altitude of 1500 m parallel to the ground at a horizontal distance of 4000 m from the beginning of the landing strip. Jacinta flew in to land at a constant angle of depression. a) What was the angle of depression, to the nearest tenth of a degree? b) How far did she fly before touching down, rounded to the nearest metre? 8. An isosceles triangle has a base of 22 cm and the angle opposite the base measuring 36º. Find the perimeter of the triangle to the nearest tenth of a centimetre.

Answer:

6

Step-by-step explanation:

When dividing fractions, you want to multiply the reciprocal of the fraction (flip the fraction so the numerator is the denominator and the denominator is the numerator).

\(4*\frac{12}{8}\)

If you don't know how to multiply fractions as well, I will show you now.

Since 4 is just 4/1, I will convert just so you can visually see how I multiply.

\(\frac{4}{1} * \frac{12}{8}\)

When multiplying fractions, you multiply the numerators and the denominators.

So it would be 4 * 12 & 1 * 8

\(\frac{4}{1} * \frac{12}{8} = \frac{48}{8}\)

Your fraction is 48/8. But it can be simplified, let's divide 48/8. That equals 6!

The required answer is 6 when 4 divided by 8/12 is equal to 6.

The division operation is given as follows:

4 ÷ (8/12)

To divide by a fraction, you can multiply by its reciprocal.

In this case, you want to divide 4 by 8/12. To do this, you can multiply 4 by the reciprocal of 8/12, which is 12/8.

So, the division can be rewritten as:

4 x (12/8)

Now, simplify the expression by multiplying:

(4 x 12) / 8

48 / 8

⇒ 4 ÷ (8/12) = 6

The final result is 6.

Therefore, 4 divided by 8/12 is equal to 6.

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As a result, if the two angles' measurements are (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

An angle is a geometric figure formed by two rays that have a common endpoint, called the vertex. The rays are also known as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees. Angles can also be measured in radians, which are another unit of angular measurement used in mathematics and physics. One radian is equal to the angle subtended by an arc of a circle that has a length equal to the radius of the circle. The size of an angle is determined by the amount of rotation that occurs between the two rays. This is typically measured relative to the positive x-axis, with counterclockwise rotations being considered positive and clockwise rotations being considered negative. Angles are used in a wide range of mathematical and scientific applications, including geometry, trigonometry, physics, engineering, and architecture. They are also used in many everyday situations, such as measuring the size of an opening or the angle of incidence of sunlight on a surface.

Here,

If the two angles are congruent, then they must have the same measure.

So we can set the expressions for the measures of the two angles equal to each other and solve for y:

3y + 11 = 11y + 15

Subtracting 3y from both sides:

11 = 8y + 15

Subtracting 15 from both sides:

-4 = 8y

Dividing both sides by 8:

y = -1/2

Therefore, if the measure of the two angles is (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

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A rectangular prism is a cuboid.

Given data

Length L = 12 in

Width W = 6 in

Height H = 6 in

Next, apply the surface area of a cuboid.

Surface area of a cubiod = 2LH + 2LW + 2WH

= 2 x 12 x 6 + 2 x 12 x 6 + 2 x 6 x 6

= 144 + 144 + 72

= 360 square in

Answer:

yookiiii8bubub7bssh8ss

Answer:

\(1)18 \times 2 + 6(4 + 1) - 2 \\ = 36 + 6 \times 5 - 2 \\ = 36 + 30 - 2 \\ 36 + 28 \\ = 64 \\ \\ thank \: you\)

Answer:

18×2+6(4+1)-2

= 36+6×5-2

= 36+30-2

= 66-2

=64

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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Answer:

7% decrease

Step-by-step explanation:

12500 - 11625 = 875

875/ 12500 = 0.07

0.07 × 100 = 7

Answer:

7%

Step-by-step explanation:

Answer:

37b^5

Step-by-step explanation:

15b^5+22b^5

Combine the all like terms.

Since both of the numbers have b^5, all you have to do is add 15+22.

Answer:

Step-by-step explanation:

we can easily find this by looking at our y intercept

our y intercept here is (0, -1) so the equation who has -1 as a constant is the one were looking for

so C would be oour answer since its the only one with -1 as its constant

hope this helps <3

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

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Answer:

Below in bold.

Step-by-step explanation:

a) The volumes will be in the ratio of the cubes  of the edges.

So volume of A / volume B = 20^3 / 5^3

Volume A / 25 = 8000/125

Volume a = (25* 8000) / 125

= 8000/ 5

= 1600 cm^3.

b) ratio of the surface area of A to surface area of B

=  20^2 : 5^2

= 400:25

= 16:1.

c. The volume of pyramid B is 25 cm*3 so it' height is  25 / area of its base = 25/5^2

= 1 cm.

Now its slant height = √(1^2 + (2.5)^2)

= √7.25

= 2.6926 cm

So surface area = 25 + 4 * 1/2 * 5 * 2.6926

= 51.926

= 51.93 cm^2 to nearest hundredth.

and the surface area of pyramid B = 51.926 * 16

= 830.82 cm^2 to nearest hundredth.

To evaluate the given integrals using polar coordinates, from Cartesian coordinates to polar coordinates. In each case, given regions or curves in polar form and apply the appropriate limits of integration to compute the integral.

7. To evaluate the integral ∫∫R x dA, where R is the top half of the disk with center at the origin and radius r, we convert to polar coordinates. In polar form, the region R is defined by 0 ≤ r ≤ r and 0 ≤ θ ≤ π. The integral becomes ∫∫R x dA = ∫₀ʳ ∫₀ᴨ x r dr dθ. Evaluating this integral gives the desired result.

8. The integral ∫∫R x dA, where R is the region in the first quadrant enclosed by the circle x² + y² = r² and the lines y = x and x = 0, can be evaluated using polar coordinates. Converting the equations to polar form gives r² = r²cos²θ + r²sin²θ and θ = π/4 and θ = 0 as the limits of integration. The integral becomes ∫∫R x dA = ∫₀ʳ ∫₀ᴨ/₄ x r dr dθ. Evaluating this integral gives the desired result.

9. The integral ∫∫R x dA, where R is the region in the first quadrant between the circles x² + y² = a² and x² + y² = b² (where a < b), can be evaluated using polar coordinates. In polar form, the region R is defined by a ≤ r ≤ b and 0 ≤ θ ≤ π/2. The integral becomes ∫∫R x dA = ∫ₐᵇ ∫₀ᴨ/₂ x r dr dθ. Evaluating this integral gives the desired result.

10. The integral ∫∫R x dA, where R is the region that lies between the circles x² + y² = a² and x² + y² = b² (where a < b), can be evaluated using polar coordinates. In polar form, the region R is defined by a ≤ r ≤ b and 0 ≤ θ ≤ 2π. The integral becomes ∫∫R x dA = ∫ₐᵇ ∫₀²ᴨ x r dr dθ. Evaluating this integral gives the desired result.

11. The integral ∫∫R x dA, where R is the region bounded by the semi-circle x = √(r² - y²) and the x-axis, can be evaluated using polar coordinates. Converting the equations to polar form gives r = rcosθ and θ = -π/2 and θ = π/2 as the limits of integration. The integral becomes ∫∫R x dA = ∫₋ᴨ/₂ᴨ/₂ ∫₀ʳ x r dr dθ. Evaluating this integral gives the desired result.

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Answer:

6

Step-by-step explanation:

The measure of the missing side of the given parallelogram with an area of 30 unit² will be 6 units.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram.

There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.

The area of a parallelogram is given as (1/2) × (sum of parallel sides) × (distance between parallel sides).

Area = (1/2) × (5 + 5) × h

30 = 10h/2

5h = 30

h = 6 units.

Hence "The measure of the missing side of the given parallelogram with an area of 30 unit² will be 6 units".

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Given the question missing the figure attached below,

Answer:

I think it's c.......

Step-by-step explanation:

i just took the test

Answer:

11

Step-by-step explanation:

If i am correct n= the days so with the days adding up day 10 juan would have 55 of the 100 candies, day 11 he would have 66. The statement said at least 64, so it would have to be 64 or the closet amount to 64 but it cannot be lower than 64. So there for 66 is the closest to the given amount, and in order for juan to get 64 he would need to take candies out for 11 days.

Answer:

x ≤ 7  or  x ≥ 9

Step-by-step explanation:

4|x - 8| + 1 ≥ 5

Subtract 1 from both sides.

4|x - 8| ≥ 4

Divide both sides by 4.

|x - 8| ≥ 1

x - 8 ≤ -1  or  x - 8 ≥ 1

x ≤ 7  or  x ≥ 9

The probability of getting stuck in traffic on any given day when leaving the city is 70%. When considering two separate days, we can use the multiplication rule of probability to find the probability of getting stuck in traffic on both days.

The multiplication rule of probability states that the probability of two independent events occurring together is the product of their individual probabilities. In this case, the events of getting stuck in traffic on two separate days are independent, meaning that the occurrence of one does not affect the probability of the other.

To find the probability of getting stuck in traffic on both days, we can multiply the probability of getting stuck on the first day (0.7) by the probability of getting stuck on the second day (also 0.7):

P(getting stuck on both days) = P(getting stuck on day 1) x P(getting stuck on day 2)
P(getting stuck on both days) = 0.7 x 0.7
P(getting stuck on both days) = 0.49 or 49%

Therefore, the probability of getting stuck in traffic on both days is 49%. This means that there is a less than 50% chance of getting stuck in traffic on both days, despite the 70% chance of getting stuck on each individual day.

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Answer:

8.4 days

Step-by-step explanation:

I'm not sure what the question is, but if it's how many days it would take to remove all the mud, you divide 42 by 5 and get 8.4.

If repeats are forbidden, the provided letters u, v, w, x, y, and z can be used to create 8 lists of length 3, each of which has a w or u in the second entry.

We can apply the inclusion-exclusion concept to resolve this issue.

First, let's determine how many total lists of length three can be created using the provided letters without any limitations. There are six options for the first submission, five for the second (since it must be either w or u), and four for the third (since no characters can be repeated). Thus, there are a total of the following lists:

6 × 5 × 4 = 120

Next, let's count the number of lists of length 3 that do not have a w or u in the second entry. We have 6 choices for the first entry, 4 choices for the second entry (since we can't choose w or u), and 4 choices for the third entry (since we can't repeat any letters). Thus, the total number of such lists is:

6 × 4 × 4 = 96

Similarly, we can tally the number of lists of length 3 lacking a w or u in the first entry as well as the number of lists of length 3 lacking a w or u in either the first or second entry. Which are:

4 × 5 × 4 = 80 (no w or u in first entry)

4 × 4 × 4 = 64 (no w or u in first or second entry)

Finally, we can use the principle of inclusion-exclusion to count the number of lists that have a w or u in the second entry. This is:

120 - 96 - 80 + 64 = 8

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The equation for money collected m for h boxes of chocolate bars sold is m = 30h.

We are given that the band is selling every bar of chocolate for $1.50

Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.

Hence if we are going to calculate the amount of money collected on selling one box it will be

20 X $1.5

= $30

We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.

We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h

Now we know that

Money collected = price per box X no.of boxes sold

we have already calculated the price per box hence we get

m = 30h

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Answer:

C=22

Step-by-step explanation:

8+9+10+11+x divided by 5 gives 12

38+x divide by five gives 12

12×5=60

38+x=60

x=22

brainlist please

Answer:

70 +60muinte= 13

Step-by-step explanation:

so that the ans

In h hours you will go 70h far from the original position and domain of the function is the amount of hours you drive option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is:

Driving on the highway, you can safely drive 70 miles per hour. “How far can you drive in ‘h’ hours?” What is the domain of the function which defines this situation?

A.)The amount of gas you use.

B.) 70.

C.) The amount of hours you drive.

D.)The distance you drive

We have:

Driving on the highway, you can safely drive 70 miles per hour.

The speed of the vehicle = 70 miles per hour

As we know,

Distance = speed×time

1 hour → 70 miles

h hour → D miles

D(t) = 70h

The above expression represents the situation.

Thus, in h hours you will go 70h far from the original position and domain of the function is the amount of hours you drive option (C) is correct.

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Each of the following events result in a tax payment, an example of a direct tax is D. Javier owes money to the federal government based on job earnings.

A direct tax is one that is paid by an individual or group of individuals directly to the body that levied it. Taxes on assets, real estate, personal property, and income are a few examples that are all paid by an individual taxpayer directly to the government.

Direct taxes are those that you pay to the government directly. You have paid a direct tax, for instance, if you pay income tax, property tax, or capital gains tax. On the other side, an indirect tax is when you make a purchase and someone else subsequently pays the tax on your behalf through a sales tax.

Therefore, option D is correct.

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Answer:

d

Step-by-step explanation:

d

Answer:

Central Angle - an angle formed in the center of a circle by the meeting of two radii. Chord - a straight line connecting two points on an arc or circle.

8 pages

Step-by-step explanation:

In the diagram, m∠RQY = m∠WQT = 50° and Q is the center of the circle. Name two triangles that are congruent. answer choices. ∆RQY ≅ ∆YQW.

In the diagram, AB passes through the center C of the circle and DC⊥AB. Name two ... If two triangles are congruent, then their perimeters are the same.

Answer:

6 over 50

Step-by-step explanation:

There are 6 purple draws out of 50 total, so the probability is 6/50

Answer:

6/50

Step-by-step explanation:

She does an experiment 50 times, and gets purple 6 times!

So, the experimental probability of pulling a purple is 6 times.

And the experiment was performed 50 times.

The experimental probabilty thus must be, (6 / 50), or 6 out of 50 pulls are purple, based on the experiment!

It's important to note this can be simplified to 3/25 but it doesn't look like that's an answer choice for u

Answer:

$528 is the new price after the discount

Step-by-step explanation:

12% of $600

0.12 of 600

0.12 × 600 = 72

$72 is the discount price

Since it's a discount, you subtract the discount price from the original one.

$600 - $72 = $528

Answer: 12

The answer to your geometry question is 12, I hope this helps.

Answer:

\( \angle HIG \: and \: \angle KLI\)

Step-by-step explanation:

\( \angle HIG \: and \: \angle KLI\) are corresponding angles.