The points C(−6,−1), D(−4,5), and E(2,3) form a triangle. Plot the points then click the "Graph Triangle" button.

Answer:

5x^4y(6x^3y^3 - 2x + 15y^x)

Step-by-step explanation:

the factor the expression 30x^7 y^4 - 10x^5 y +75x^4 y^3 we can first factor out the greatest common factor, which is 5x^4y:

30x^7 y^4 - 10x^5 y +75x^4 y^3

= 5x^4y(6x^3y^3 - 2x + 15y^2)

the expression 6x^3y^3 - 2x + 15y^2 cannot be factored further, so the final factored form is:

Her sales in order to earn at least $29,000 this year must be at least 60000

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Earnings = 20000 + 15% * x

Where x is sales

The earnings is atleast 29,000

So, we have

20000 + 15% * x ≥ 29,000

This gives

15% * x ≥ 9,000

So, we have

x ≥ 60000

Hence, her sales must be at least 60000

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Answer:

8.5

Step-by-step explanation:

Standard deviation = √variance = √72.25 = 8.5

Answer:

Long solution

Step-by-step explanation:

(a) Let the height of the cone be h cm. The volume of the hemisphere is given by (1/2)(4/3)πr³ = (2/3)πr³. The volume of the solid is the sum of the volumes of the hemisphere and the cone, which is (2/3)πr³ + (1/3)πr²h. Since the volume of the hemisphere is one third of the volume of the solid, we have:

(2/3)πr³ = (1/3)πr²h

Simplifying, we get:

2r = h

Therefore, h is expressed in terms of r as h = 2r.

(b) The slant height of the cone can be found using the Pythagorean theorem. Let l be the slant height, then we have:

l² = r² + h²

Substituting h = 2r, we get:

l² = r² + (2r)² = 5r²

Taking the square root of both sides, we get:

l = r√5

Since k is an integer, we can write:

l = Vk cm, where k is an integer

Comparing the two expressions, we get:

Vk = r√5

Therefore, the value of k is k = ⌊r√5⌋, where ⌊x⌋ denotes the largest integer less than or equal to x.

(c) The total surface area of the solid is the sum of the curved surface area of the cone, the curved surface area of the hemisphere, and the area of the circular base of the cone. We have:

Curved surface area of the cone = πr l = πr(r√5) = πr²√5

Curved surface area of the hemisphere = 2πr²

Area of the circular base of the cone = πr²

Therefore, the total surface area of the solid, in cm², is given by:

πr²√5 + 2πr² + πr² = (πr²)(√5 + 3)

Answer:

0.09 l

Step-by-step explanation:

Given:

900 ml ⇒ 10s

Required:

Liters per second

Analyze:

Let the unknown amount be x.

900 ml ⇒ 10s

         x ⇒ 1s

Solve:

Use cross multiplication

900 × 1 = 10 × x

    900 = 10x

Divide both sides by 10.

90 ml = x

To covert the answer into liters divide it by 1000.

0.09 l = x

Paraphrase:

We breathe 0.09 liters of air per second

Answer:

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To find MED, we can use the distance formula between points D and E:

MED = √[(x2 - x1)^2 + (y2 - y1)^2]

Using the coordinates for points D and E:

MED = √[(-4 - 2)^2 + (-4 - 5)^2]

= √[(-6)^2 + (-9)^2]

= √[36 + 81]

= √117

≈ 10.82

To find MEF, we can use the distance formula between points E and F:

MEF = √[(x2 - x1)^2 + (y2 - y1)^2]

Using the coordinates for points E and F:

MEF = √[(0 - (-4))^2 + (2 - (-4))^2]

= √[(4)^2 + (6)^2]

= √[16 + 36]

= √52

≈ 7.21

Based on these calculations, we can conclude that:

The distance between points D and E (MED) is approximately 10.82 units.

The distance between points E and F (MEF) is approximately 7.21 units.

As for the points D, E, and F, we can conclude that they do not form a straight line since the distances between them (MED and MEF) are different. They are likely to be non-collinear points.

Answer:

198 in²

Step-by-step explanation:

triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8

rectangle (A=bh) [A= 22×5] B=22 H=5

triangle = 88

rectangle = 110

So, 88+110 = 198

Answer:

6/9 67%

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

66,6% are 2/3 -> 67%

From the 9 parts are 6 left - > 9/6 = 2/3

Answer:

B

Step-by-step explanation:

The positive 9 shows that it's moving up 9 units, the negative in front of the square root reflects the equation over the x-axis, and the positive 3 shows that it has been moved to the left 3 units.

Outside of equation: positive numbers translate up, negative translate down. (ex: [tex]x^{2}+3, x^{2}-3[/tex]. The three would move the equation up or down.)

Inside of equation: positive numbers translate left, negative translate right. (ex: [tex](x-3)^{2},(x+3)^{2}[/tex]. The 3 would move left or right.)

Trigonometric ratios for similar triangles are mathematically established relationships used to solve for missing sides or angles as the ratio of corresponding sides are the same for all similar triangles.

TRIGONOMETRIC RATIOS

Trigonometric ratios for similar triangles include the sine , cosine and tangent relationships.

The sine is the ratio of opposite and hypotenuse side of a triangle

The cosine is the ratio of the adjacent and hypotenuse side of the triangle

The tangent is the ratio of the opposite and adjacent sides of the triangle.

Hence , the sine , cosine and tangent relationships are essential trigonometric ratios of similar triangles .

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The rate of discount for the CD radio cassette is 17.65%.

To calculate the rate of discount, we need to find the difference between the original price and the discounted price, and then divide that difference by the original price.

Original price: $16,999

Discounted price: $13,999

So, the Discount amount

= Original price - Discounted price

= $16,999 - $13,999

= $3,000

Rate of discount = (Discount amount / Original price) * 100%

= ($3,000 / $16,999) x 100%

≈ 17.65%

Therefore, the rate of discount for the CD radio cassette is 17.65%.

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Answer:

Tommy delivered 41 newspapers

Step-by-step explanation:

Step 1:  We can convert the percentage to a decimal by either imagining the percentage sign as a decimal and moving it two places to the right or by simply doing the operation 22 / 100, since a percentage is out of 100:

22% = 22.0 = 0.22

22 / 100 = 11 / 50 = 0.22

Step 2:  When dealing with percentage problems, we can use the phrase "y is P% of x" (P% of x is y also works) which allows us to create the equation:  P%x = y, where

Since we're that the pair delivered 186 together and Tommy delivered 22%, we're trying to find what value is 22% of 186.  Thus, we can use the percentage formula above, allow y to represent the unknown, 186 to represent x, and 0.22 to represent P%:

0.22 * 186 = y

40.92

41 = y

Thus, Tommy delivered 41 newspapers.

Stratified random sampling involves dividing the population into non-overlapping groups, called strata, based on specific characteristics or attributes. From each stratum, a random sample is taken, usually based on a predetermined percentage of the total groups.

Stratified random sampling involves dividing the population into overlapping groups, or strata, based on a certain characteristic, such as age or income. From each stratum, a random sample is taken of a pre-determined percentage of individuals. This ensures that the sample is representative of the entire population, as each stratum is proportionately represented in the sample. This method is often used when the population is diverse and there are subgroups that may have different characteristics or opinions. By using stratified random sampling, researchers can ensure that each subgroup is represented in the sample, allowing for more accurate results. This method can be more complex and time-consuming than other sampling methods, but it provides a more accurate representation of the population being studied.
The collected data from each selected group is then combined to form the overall sample, which is representative of the entire population. This method helps ensure that different segments of the population are adequately represented, providing more accurate and reliable results in statistical analysis.

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The value of the missing sides are;

1. 12. 9

2. 2. 0

3.  4. 6

4. 5. 3 degrees

We have that their are six trigonometric identities. These identities are;

From the information given, we have that;

Using sine identity

sin 57 = 10.8/x

cross multiply the values

x = 12. 9

2. Using cosine identity

cos 47 = x/3

cross multiply

x = 2. 0

3. Using the tangent identity;

tan 41 = 4/x

cross multiply

x = 4. 6

4. The angle of depression is ;

sin X = 27.6/300

sin X = 0. 092

X = 5. 3 degrees

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Answer:

  q = 2

Step-by-step explanation:

You want to find q such that the difference between the two roots of 3x²-5x+q is 1/3.

In quadratic ax²+bx+c, the sum of the roots is (-b/a). For roots p and s, this tells us ...

  p + s = -(-5)/3 = 5/3

The problem statement tells us the difference is ...

  p - s = 1/3

Adding these two equations gives ...

  2p = (5+1)/3 = 2

  p = 1 . . . . . . . . . . . . . divide by 2

  s = p -1/3 = 2/3 . . . . find the smaller root

The product of the two roots is (c/a) = (q/3):

  ps = (1)(2/3) = q/3

  q = 2 . . . . . multiply by 3

The value of q is 2.

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The value of segment x is determined as 16.

The value of segment x is calculated by applying intersecting chord theorem as follows;

The intersecting chord theorem, also known as the power of a point theorem, states that;

If two chords of a circle intersect inside the circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

The value of segment x is calculated as follows;

(x) (15) = (10) (24)

15x = 240

x = 240/15

x = 16

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Answer:

This graph is a negative linear association. C is the correct answer.

Answer:

Step-by-step explanation:

You want the volume, cost, and weight of a concrete pipe 2 m long with an outside diameter of 40 cm, and an inside diameter of 30 cm. The cost is $135 per cubic meter, and the weight is 2430 kg per cubic meter.

The area of a circle in terms of its diameter is ...

  A = π/4·d²

The area of the end of the pipe will be the difference between the overall area (using the outside diameter) and the area of the missing center part (using the inside diameter). It is ...

  End area = (π/4)(0.40 m)² -(π/4)(0.30 m)² = 7π/400 m² ≈ 0.05498 m²

The area of the end of the pipe is about 0.05498 m².

The volume of the pipe is the product of its base area and its length:

  V = Bh

  V = (0.05498 m²)(2 m) ≈ 0.10996 m³

The volume of the pipe is about 0.10996 m³.

At $135 per cubic meter, the cost of the concrete for the pipe is ...

  ($135/m³)(0.10996 m³) ≈ $14.84

The concrete cost for the pipe is about $14.84.

The density of 2.43 g/cm³ is equivalent to 2430 kg/m³. Since our volume is in cubic meters, we need the density to have these units.

  m = (2430 kg/m³)(0.10996 m³) ≈ 267.19 kg

The weight of the pipe is about 267 kg.

__

Additional comment

The cost is given in units of dollars per cubic meter. This suggests that it will be convenient to use meters as the unit of length. The calculations are done with 30 cm and 40 cm converted to 0.30 m and 0.40 m, respectively.

Similarly, the density is converted to units of kg per cubic meter. This facilitates finding the weight in kg from the volume in m³.

  1 g/cm³ = (0.001 kg)/(0.01 m)³ = 1000 kg/m³

<95141404393>

The most general antiderivative of f(x) = 9sqrt(x) + 3cos(x) is:

F(x) = 6x^(3/2) + 3sin(x) + C

To find the most general antiderivative of the function f(x) = 9sqrt(x) + 3cos(x), we can integrate each term separately.

The antiderivative of 9sqrt(x) can be found by using the power rule of integration. We add 1 to the exponent (1/2) and divide by the new exponent:

∫9sqrt(x) dx = 9 * (2/3)x^(3/2) + C = 6x^(3/2) + C

The antiderivative of 3cos(x) can be found using the integral of the cosine function:

∫3cos(x) dx = 3sin(x) + C

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The length of side LJ as shown in the similar shapes is 12.92.

Similar shapes are enlargements of each other using a scale factor.

To calculate the length of side LJ, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1 and solve for KL

Hence, the right option is 12.92.

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Note that the equation in terms of y, volume of air in a person's lungs in mL and t, in seconds, to represent the given context is y = 800 cos (π/2 t) + 1600.

We know that

The function depicted in the graph exhibits a periodic nature, characterized by its oscillation between two extreme points.

The time period of the function is derived as T = 4 seconds,

Given that each complete oscillation occurs between one crest and the subsequent crest or from one through and the subsequent through.

The midline of this function is y = 1300 mL, which denotes its average value.

Furthermore, the amplitude of this function equals half the distance between both extreme values, equivalent to A = 800mL. Given that the function has a period of 4 seconds and that its first crest is located at (3.5, 2600), it follows that we may represent this function with an equation expressed as:

y = A Sin (2π/T ( t-  c)) + 1300

Where:

A = 800

T = 4

3.5, 2600 is a crest

Thus,

1000 = -A + 1300

A = 300

Solving for A, we get

c =3.5 - T/4 = 0.5

replacing those values, we have:

y = 800 sin (π/2 (t - 0.5)) + 1300

This can be simplified further to read

y = 800 cos (π/2 t) + 1300.

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An equation to represent the distance traveled, y, after x seconds is y = 9.25x.

In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) based on the data points provided as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 64.75/7

Constant of proportionality, k = 9.25.

Therefore, the required equation is given by;

y = kx

y = 9.25x

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A hypothesis is an educated guess or tentative explanation for a phenomenon that can be tested through scientific investigation. It is a prediction or statement that proposes a relationship between two or more variables and can be tested through empirical evidence.

A hypothesis is an essential component of the scientific method as it provides a framework for designing experiments, collecting data, and analyzing results. The aim of testing a hypothesis is to either accept or reject it based on the available evidence. In this way, hypotheses help advance scientific knowledge and understanding.

A testable statement about the relationship between variables is called a

hypothesis .

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Answer: (-3,-5)

Step-by-step explanation: -1-4=-5

This means the Probability of drawing a star is now 4/8 or 1/2, which is equal to the probability of drawing a card without a star. Thus, the game is now fair.

To make the game fair, we need to ensure that the probability of drawing a card with a star is the same as the probability of drawing a card without a star.

Currently, there are 4 cards with stars and 6 cards without stars, which means the probability of drawing a star is 4/10 or 2/5, while the probability of drawing a card without a star is 6/10 or 3/5.

To make the game fair, we need to adjust the number of cards with stars and without stars so that the probabilities are equal.

Option A is not correct because the game is not currently fair.

Option B is not correct because adding 2 cards with stars will increase the probability of drawing a star to 6/12 or 1/2, which is not equal to the probability of drawing a card without a star.

Option C is also not correct because adding a star to 1 of the blank cards will still result in a probability of drawing a star that is not equal to the probability of drawing a card without a star.

Therefore, the correct answer is option D: take away 2 blank cards. If we remove 2 blank cards, we are left with 4 cards with stars and 4 cards without stars. This means the probability of drawing a star is now 4/8 or 1/2, which is equal to the probability of drawing a card without a star. Thus, the game is now fair.

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Answer: Figure C

Step-by-step explanation:

Figure C is a translation of Figure A because it moved down. Figure A moved down 5 units in order to be Figure C. A translation is moving in a direction. Figure B and D have both been altered some other way, but Figure C has just been moved down.

The correct answer is not listed among the given options. None of the listed options is a CSS3 2D transformation function that resizes an object by a factor of x horizontally.

Here are brief explanations of the given options:

a. scaleY(y) - This function scales an object vertically by a factor of y.

b. rotate(angleY) - This function rotates an object around the y-axis by the specified angle.

c. translateY(offY) - This function translates an object vertically by the specified offset.

d. skewY(angleY) - This function skews an object along the y-axis by the specified angle.

To resize an object horizontally by a factor of x, you can use the scaleX(x) function. This function scales an object horizontally by a factor of x.

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The measure of each of the angles are calculated as:

m<1 = 63 degrees.; m<2 = 49 degrees; m<3 = 87 degrees; m<4 = 44 degrees.

The measure of each angle can be calculated as explained below:

m<2 = 49 degrees [based on the vertical angles].

m<1 = 180 - m<2 - 68 [based on the triangle sum theorem]

Plug in the values:

m<1 = 180 - 49 - 68

m<1 = 63 degrees.

m<3 = 180 - 93 [linear pair theorem]

m<3 = 87 degrees.

m<4 = 180 - m<3 - 49 [based on the triangle sum theorem]

Substitute:

m<4 = 180 - 87 - 49

m<4 = 44 degrees.

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