Four students are playing a card game. They decide to choose the first person to play by each selecting a card from the 52-card deck and looking for the highest card in value and suit. They rank the suits from lowest to highest: clubs, diamonds, hearts, and spades. (a) If the card is replaced in the deck after each student chooses, how many possible configurations of the four choices are possible

The expression has basic mathematical operators. is The measurement of the two angles ∠J and ∠K is 76° and 65° respectively.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given to us

∠J = (7x + 13)°,

∠K = (83 - 2x)°,

the sum of the two angles is 141°.

As it is given that the sum of the two angles is 141°, therefore, the expression for the sum of the two angles can be written as,

∠J + ∠K = 141°

(7x + 13)° + (83 - 2x)° = 141°

7x + 13 +83 - 2x = 141

5x = 141 - 83 - 13

5x = 45

x = 9

Now, we got the value of x, substitute the value of x in given measurements, therefore,

∠J = (7x + 13)°

∠J = 7(9) + 13

∠J = 63 + 13

∠J = 76°

∠K = (83 - 2x)°

∠K = (83 - 2(9))°

∠K = (83 - 18)°

∠K = 65°

Hence, the measurement of the two angles ∠J and ∠K is 76° and 65° respectively.

answer:

1.the total area is quadrupled.

2.(I'm not sure, so sorry!!!!!)

Step-by-step explanation:

somsome else can do number 2 because questions on brainly have a max of 2 answers.... again, so sorry.

Step-by-step explanation:

If one dimension of a figure is quadrupled, its area would increase by a factor of 16 (2 to the power of 4). If one dimension is multiplied by 5, the area would increase by a factor of 25 (5 to the power of 2).

Answer:

3.14 * r * r = area of circle, 2 * 3.14 * r = circumference

Step-by-step explanation:

Remember these formulas, very important.

The signal in the plot is a continuous signal. It is a causal signal, because the output value at any time t only depends on the input values up to time t. The shifted signals y(t) = x(t-2) and y(t) = x(t+1) are also continuous signals.

A continuous signal is a signal that can be represented by a function that is continuous at all points in time. A causal signal is a signal whose output value at any time t only depends on the input values up to time t.

The signal in the plot is a continuous signal because the graph of the signal is a smooth curve. The signal is also a causal signal because the output values of the signal at time t do not depend on the input values at time t+1 or later.

The shifted signals y(t) = x(t-2) and y(t) = x(t+1) are also continuous signals because they are simply shifted versions of the original signal. The graph of y(t) = x(t-2) is the graph of the original signal shifted two units to the right. The graph of y(t) = x(t+1) is the graph of the original signal shifted one unit to the left.

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The population proportion at the 300 people polled, 75 of them correctly identified the corgi, has a 95% confidence interval of [0.20,0.30].

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of values.

Here,

t-value of 95% confidence interval= 1.967

x/17=75/300

x=0.25

=p ± t√(p(1-p)/n)

=0.25±1.96(0.025)

=0.25±0.049

=[0.20,0.30]

The 95% confidence interval for the population proportion at the 300 surveyed 75 correctly identify the corgi will be [0.20,0.30].

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This problem presents a situation where Sara's weekly pay check is equal to $125.52, and we need to calculate how much it'd be if another person got paid 3.2 more.

In order to solve this problem, we need to multiply the value for Sara by 3.2. We have:

Kim's weekly pay check would be equal to $400.8

Answer:

2p+3q

Step-by-step explanation:

3p+7q-p-4q

2p+3q

hope it is helpful

With reference to X-linked recessive traits in human beings b. they express more in males than in females

Recessive traits that are linked to the X chromosome and are more common in men are known as X-linked recessive traits. In males, a single copy of the allele is enough to cause the disease because they have just one X chromosome, but in females, two copies of the allele are necessary to cause the disease because they have two X chromosomes.

Hemophilia and red-green color blindness are two common X-linked recessive conditions found in humans. The human X chromosome carries more than 1,000 genes, the majority of which are not associated with sex determination but have other critical functions in the body. The X chromosome has a high number of genetic disorders linked with it, but these disorders are not X-linked for the most part. As a result, the inheritance pattern for these diseases is not predictable.

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Answer:

Option E, Acute

Option F, Scalene

Hope this helps!

Answer:

Acute & Scalene

Step-by-step explanation:

This triangle has no equal sides. Therefore, it is scalene.

Moreover, this triangle has no angles greater than or equal to 90°. Therefore, it is also acute.

Answer: 196

Step-by-step explanation:

Just answered this...

14x14=196

Answer:

The farmer has 8 cows and 2 hens

m∠ AEM = 20°

From the given figure, we can see that m∠ AEM is alternate to m∠ ACE

Note that m∠ ACE = 20°

Alternate angles are equal.

If m∠ ACE is alternate to m∠ AEM

Then, m∠ AEM = 20°

Hence, m∠ AEM = 20°

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Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

Let's assume that the length, width, and height of the rectangular container are L, W, and H, respectively. Since the container has a square base, we know that L=W.

We are given that the volume of the container is 864 cm^3, so we can write:

V = LWH = 864

Substituting L=W, we get:

V = L^2H = 864

Solving for H, we get:

H = 864 / L^2

Now, we need to find the minimum surface area of the container, which consists of the area of the four walls and the square base. The area of the base is L^2, and the area of each wall is LH. Since we have four walls, the total area of the walls is 4 LH.

Substituting H = 864 / L^2, we get:

Total surface area = L^2 + 4 LH

= L^2 + 4 L (864 / L^2)

= L^2 + 3456 / L

To minimize the surface area, we need to find the value of L that makes the derivative of the surface area with respect to L equal to zero.

d/dL [ L^2 + 3456 / L ] = 2L - 3456 / L^2

Setting this equal to zero and solving for L, we get:

2L = 3456 / L^2

L^3 = 1728

L = 12 cm

Therefore, the minimum surface area of the container is:

L^2 + 3456 / L = 12^2 + 3456 / 12 = 144 + 288 = 432

So the minimum surface area of the container is 432 cm^2.

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the option c) has the greatest density of approximately 4.545 g/cm³.

To determine the liquid with the greatest density, we can calculate the density for each option using the formula:

Density = Mass / Volume

a) Density = 2.3 g / 1.3 cm³ ≈ 1.769 g/cm³

b) Density = 10 g / 3.5 cm³ ≈ 2.857 g/cm³

c) Density = 0.10 g / 0.022 cm³ ≈ 4.545 g/cm³

d) Density = 0.64 g / 5.4 cm³ ≈ 0.118 g/cm³

e) Density = 0.12 g / 0.21 cm³ ≈ 0.571 g/cm³

Comparing the calculated densities, we find that option c) has the greatest density of approximately 4.545 g/cm³. Therefore, option c) is the liquid with the highest density among the given options.

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Complete question is below

Which of the following liquids has the greatest density?

a) 1.3 cm³ with a mass of 2.3 g

b) 3.5 cm³ with a mass of 10 g

c) 0.022 cm³ with a mass of 0.10 g

d) 5.4 cm³ with a mass of 0.64 g

e) 0.21 cm³ with a mass of 0.12 g

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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Given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.

Scale factor is simply a measure for similar figures, who look the same but have different scales or measures.

To get new dimension;

New dimension = scale factor × current dimension

Given that;

New dimension = scale factor × current dimension

New length of the bedroom = 112 × 9ft

New length of the bedroom = 1008ft

Therefore, given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.

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The correct answer would be: It is not possible to determine the UTM zone of the quadrangle without additional information about its location or coordinates.

To determine the UTM zone of a quadrangle, we need to know the location or coordinates of the quadrangle. The UTM zones divide the Earth's surface into 60 zones, each covering 6 degrees of longitude. The UTM zone number is based on the central meridian of the zone.

Without specific location or coordinates provided for the quadrangle, it is not possible to determine the UTM zone. Each zone covers a specific range of longitudes, so knowing the location is essential to identify the corresponding UTM zone.

Therefore, the correct answer would be: It is not possible to determine the UTM zone of the quadrangle without additional information about its location or coordinates.

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The quadrangle is part of which UTM zone?

a. 11

b. 12

c. 13

d. 14

Answer:

1.62 litres

Step-by-step explanation:

A painter and decorator used 82% of his 9 litre tub of paint. How much is left in the tub?

100% - 82% = 18%

He used 82% so he has  18% of the tube left. 18% = 0.18.

18% of 9 litre:

0.18 * 9 = 1.62 litres

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer: 2/6 or 2/12 (Go with 2/6)

Step-by-step explanation:

1/6 probability of rolling any one number. Add the probabilities for rolling a 3 (1/6) and rolling a 6 (1/6) and there is a 2/6 chance of rolling those numbers. it can also be 2/12 if you are looking at both dice rolls like one function.

it it is 1/6 because it the probability of rolling a 3 and then rolling a 6

Answer:

60 mph

Step-by-step explanation:

Let 'S' be the velocity of the southbound car and 'E' be the velocity of the eastbound car. The distances traveled by each car are:

\(D_E=3E\\D_S=3S=3(E+15)\\D_S=3E+45\)

The distance between both cars is given by:

\(D^2=D_S^2+D_E^2\\225^2=(3E+45)^2+(3E)^2\\50,625=9E^2+270E+9E^2+2,025\\18E^2+270E-48,600=0\\\)

Solving the quadratic equation for the velocity of the eastbound car:

\(18E^2+270E-48,600=0\\E^2+15E-2,700\\E=\frac{-15\pm\sqrt{15^2-4*1*(-2,700)}}{2}\\E=45.0\ mph\)

The velocity of the southbound car is:

\(S=E+15=45+15\\S=60\ mph\)

The southbound car is driving at 60 mph.

Answer:x=-7+1/2

Step-by-step explanation:You move all terms to the left: x-15/2-(2x)=0

then add all the numbers together, and all the variables:-1x-15/2=0

You multiply all the terms by the denominator:-1x*2-15=0

Multiply elements:-2x-15=0

You move all terms containing x to the left, all other terms to the right-2x=15

x=15/-2

x=-7+1/2

Step-by-step explanation:

number of boys=25

number of girls =16

ratio of boys to girl is 25:16

and the fraction is =25/16

If Trudy deposited $1260 in a savings account that pays 5.5% interest compounded daily, then the amount of interest he will earn in 60 days is $32850.32

The deposited amount = $1260

Interest is compounded daily.

The interest rate = 5.5%

The time period = 60 days

The compound interest equation

A = \(P(1+\frac{r}{n})^{nt}\)

Where A is the final amount

P is the principal amount

r is the interest rate

n is the number of times interest applied

t is the time period

Substitute the values in the equation

A = \(1260(1+\frac{0.055}{60})^{(60)(60)}\)

A = 1260 × 27.07

A = $34110.32

The interest = Final amount - Deposited amount

= 34110.32 - 1260

= $32850.32

Hence, if Trudy deposited $1260 in a savings account that pays 5.5% interest compounded daily, then the amount of interest he will earn in 60 days is $32850.32.

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In this case, the correct expression to decide if x is not between 10 and 20 is d. not (x > 10 and x < 20).

Step-by-step explanation: We want to determine if x is not between 10 and 20.                                                                                             This means that x is either less than 10 or greater than 20.

Using De Morgan's Law, we can rewrite "not between 10 and 20" as "not (10 < x < 20)" or "not ((x > 10) and (x < 20))".

This is because the negation of "and" is "or" and the negation of "or" is "and".

So the correct expression to decide if x is not between 10 and 20 is d. not (x > 10 and x < 20). This means that if x is greater than 10 and less than 20, the expression will evaluate to false, and if x is less than or equal to 10 or greater than or equal to 20, the expression will evaluate to true.

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Answer:

21 red grapes

Step-by-step explanation:

B:G

8:6

28:x

28/8=3.5

therefore 6*3.5 = x

Answer:

The answer is 21

Step-by-step explanation:

If you do 28/8 you get 3.5. So he used 3 1/2 blueberries. Then you have to times 6 by 3.5 to get 21. Put it back into ratio form and you get 28:21

Hope this helps!

Answer:

2 m.

Step-by-step explanation:

T = 8.0 s is the period of the pendulum

g = 9.81 m/s^2 is the acceleration due to gravity