7. Find the smallest square number that is divisible by 8, 12, 15 and 20.

The answers in each case are;

1) 8/7 qt

2)  16/7 qt

3)  4/7 qt

Now we are to find the total volume of liquid that is needed and we can do that as follows;

Volume of the ginger ale + volume of the strawberry soda

= 6/7 + 2/7 = 8/7 qt

If the recipe is doubled we have;

2(6/7) + 2(2/7) = 12/7 + 4/7 = 16/7 qt

If the recipe is halved we have;

1/2(6/7) + 1/2(2/7) = 3/7 + 1/7 = 4/7 qt

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Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

By using the Taylor series expansion for cosine function, we can find the first four nonzero terms of an infinite series that is equal to cos(2). The expansion involves terms up to the fourth degree power of 2.

The Taylor series expansion for the cosine function is given by:

cos(x) = 1 - (x^2)/2! + (x^4)/4! - (x^6)/6! + ...

To find the first four nonzero terms of an infinite series that is equal to cos(2), we substitute x = 2 into the expansion:

cos(2) = 1 - (2^2)/2! + (2^4)/4! - (2^6)/6! + ...

Step 1: Calculate the values of the terms:

The first term is 1.

The second term is (2^2)/2! = 4/2 = 2.

The third term is (2^4)/4! = 16/24 = 2/3.

The fourth term is (2^6)/6! = 64/720 = 2/45.

Step 2: Write the series using the calculated terms:

cos(2) = 1 - 2 + 2/3 - 2/45 + ...

Therefore, the first four nonzero terms of the infinite series that is equal to cos(2) are 1, -2, 2/3, and -2/45 + ...

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Answer:

If we stipulate that a baby is premature if the length of pregnancy is in the lowest 4%, find the length that separates premature babies from those who are not premature. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.

hope it helps :)

please mark it the brainliest!

Answer:

Ok, sabemos que Carlos ha construido un 3/7 de una casa.

Queremos saber cuanto le falta para terminar de construirla.

Entonces podemos realizar el cálculo:

1 casa - lo que Carlos ya construyo = Lo que le falta.

Entonces:

1 casa - 3/7 de una casa = X

Podemos reescribir:

1 casa = 7/7 de una casas

así tenemos:

7/7 de una casa  - 3/7 de una casa = X

(7/7 - 3/7) de una casa = X

4/7 de una casa  = X

Así podemos concluir que a Carlos le falta construir 4/7 de una casa para acabar.

Answer:

its a square, so all sides similar

28. SV = RT/2 = 5.7/2 = 2.8

29. RT^2 = RQ^2 + QT^2

--> RT = √ (4^2 + 4^2)

RT = √32 =5.7

30. perimeter of RVS = 2.8 + 2.8 + 4 = 9.7

Answer:

The scale factor is 1/2

Step-by-step explanation:

The coordinates of Point G are (4,6) and the coordinates of Point G' are (2,3). To get from 4 to 2 and 6 to 3, you have to multiply by 1/2. Therefore, the scale factor is 1/2.

Answer:

6th

Step-by-step explanation:

the chart says not, 7th has majority

The students of grade 6 are more likely to be members of the public library

Probability is the ratio that shows the likelihood an event will occur or not from a given set of events.

Grade 6:

The total number of students who are a member of the public library = 25

The total number of students = 28

P(grade 6 students who are members of the public library.) = 25/28

= 0.892

Grade 7:

The total number of students who are a member of the public library = 23

The total number of students = 30

P(grade 6 students who are members of the public library.) = 23/30

= 0.767

We can see that grade 6 students are more likely to be members of the public library.

Therefore, we have found that the students of grade 6 are more likely to be members of the public library.

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The statement the most frequently used graphic in reports is the table is false because tables are not typically the most frequently used graphic in reports.

While tables are commonly used in reports to present structured and detailed information, they are not typically the most frequently used graphic. Instead, other types of visuals such as charts, graphs, and diagrams are often employed to present data and communicate information more effectively.

Graphical representations like bar charts, line charts, pie charts, and scatter plots are widely used in reports to visualize patterns, trends, comparisons, and relationships in the data. These visualizations offer a concise and visually appealing way to convey information, making it easier for readers to understand complex data.

Tables, on the other hand, are more suitable for presenting precise numerical values, categorical information, or detailed breakdowns. They are useful for displaying large datasets or providing specific values for reference. However, their format can be dense and may require closer scrutiny, making them less visually impactful compared to graphical representations.

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Answer: Mark brainliest if satisfied

m<B=72 degrees

m<C= 36 degrees

Step-by-step explanation:

m<B is congruent to m<A

72 times 2 equals 144

180 minus 144 equals 36

Step-by-step explanation:

Find how many data are there that in between 60-64.99

Answer:

Step-by-step explanation:

>First lets break down the problem...

Worker Pay : $14 per hour

Material Costs : $3 per shirt

Average 3 shirts per hour is made

Total expenses : $230

>Now create variables

Worker pay : 14h (h is hours)

Material Costs: 3s ( s is shirts)

Shirts made : 3sh (sh is shirts per hour)

> Plug-in variables to make an equation

14h + 3s = 230

>Solve if needed ( Use the Substitution Property)

Answer:

Step-by-step explanation:

Look at the input and apply the rule. For example, if the rule is "Subtract 5" and the input is 9 then you subtract 5 from 9 to get 4, and 4 is the output. Let's take a look at some examples:

Navigation A plane flies 810 miles from Franklin to Centerville with a bearing of 75∘. Then it flies 648 miles from Centerville to Rosemount with a bearing of 32∘. 63.7° is the straight-line distance and bearing from Franklin to Rosemount.

The scenario of the plane travelling from Franklin to Centerville and subsequently from Centerville to Rosemount is depicted in the figure below.

From Franklin to Centerville, the bearing is 75°, and from Centerville to Rosemount, the bearing is 32°. The hypotenuse of the triangle created by these two legs of travel is the straight-line distance from Franklin to Rosemount, which can be computed using the Pythagorean theorem as  √(810² + 648²) = 1040 miles.

The angle between the two legs, which can be determined using the Law of Cosines as cos⁻¹((810²+648²-1040²)/(2×810×648)) = 63.7°, is the bearing from Franklin to Rosemount.

Complete Question:

Navigation A plane flies 810 miles from Franklin to Centerville with a bearing of 75∘. Then it flies 648 miles from Centerville to Rosemount with a bearing of 32∘. Find the straight-line distance and bearing from Franklin to Rosemount.

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Answer:

1/2

Step-by-step explanation:

3/8 + 2/8 is 5/8, 1/2 is equal to 4/8, so 5/8 is only 1/8 away from 1/2 while 5/8 is also 3/8 away from 1 or 8/8 therefore, it is closer to 1/2

Answer:

Use the Substitution method

The answer to the problem is x = 10, y = -1

Answer:

C

Step-by-step explanation:

The indivisual blocks aren't in tens that he had subtracted

The surface area of the cuboid is 3.286 cm²

A cuboid is a solid shape or a three-dimensional shape.

Surface area is the amount of space covering the outside of a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2( lb + lh + bh)

length = 1 2/5 = 7/5

breadth = 5/8

height = 3/8

lb = 7/5 × 5/8 = 7/8

bh = 5/8 × 3/8 = 15/64

lh = 7/5 × 3/8 = 21/40

surface area =2( 7/8 + 15/64+21/40)

= 2( 0.875 + 0.234 + 0.525)

= 2( 1.634)

= 3.268 cm²

The surface area of the cuboid is 3.268 cm²

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The number of heads tossed on four distinct coins is a discrete random variable.

A discrete random variable can be a count or a finite set of values. Out of the options given in the question, the random variable that is discrete is the number of heads tossed on four distinct coins.

The correct option is: The number of heads tossed on four distinct coins is a discrete random variable.

The time spent waiting for a bus at the bus stop is a continuous random variable because time can take on any value in a given range. The amount of water traveling over a waterfall in one minute is also a continuous random variable because the water can flow at any rate.

The mass of a test cylinder of concrete is also a continuous random variable because the mass can take on any value within a certain range.

The number of heads tossed on four distinct coins, on the other hand, is a discrete random variable because it can only take on certain values: 0, 1, 2, 3, or 4 heads.

Hence, the number of heads tossed on four distinct coins is a discrete random variable.

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Answer:

Step-by-step explanation:

False. The Six Sigma DMAIC approach is a problem-solving methodology used to improve processes and reduce defects, but it is not the only tool available.

Sigma is a statistical measure of dispersion, which is used to measure the variability or spread of a given data set. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. Sigma is commonly used in data analysis and is used to identify outliers and other patterns in data sets.

Depending on the nature of the problem, other problem-solving techniques may be more appropriate. For example, if the goal is to improve customer service, a method such as Lean Six Sigma, which focuses on customer value, may be more effective. Similarly, if the goal is to create new products or services, a design thinking approach could be used. In any case, it is important to assess the situation and choose the best course of action for the specific problem.

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Answer:

A) 7

Step-by-step explanation:

Because the triangles are congruent to each other, then their corresponding angles are also congruent to each other. Thus, angles Z and V are congruent to each other:

\(\angle Z=\angle V\\\\40^\circ=(5n+5)^\circ\\\\35=5n\\\\7=n\)

Therefore, your answer is A.

Ax = 0, but x is not equal to 0. Therefore, the statement is false.

a. For any square matrix A, ATA = AAT.

Counterexample:

Let A = [[1, 2], [3, 4]]

Then ATA = [[1, 2], [3, 4]] [[1, 3], [2, 4]] = [[5, 11], [11, 25]]

AAT = [[1, 3], [2, 4]] [[1, 2], [3, 4]] = [[7, 10], [15, 22]]

Since ATA is not equal to AAT, the statement is false.

b. For any two square matrices, (AB)2 = A2B2.

Counterexample:

Let A = [[1, 2], [3, 4]]

Let B = [[5, 6], [7, 8]]

Then (AB)2 = ([[1, 2], [3, 4]] [[5, 6], [7, 8]])2 = [[19, 22], [43, 50]]2 = [[645, 748], [1479, 1714]]

A2B2 = ([[1, 2], [3, 4]])2 ([[5, 6], [7, 8]])2 = [[7, 10], [15, 22]] [[55, 66], [77, 92]] = [[490, 660], [1050, 1436]]

Since (AB)2 is not equal to A2B2, the statement is false.

c. For any matrix A, the only solution to Ax = 0 is x = 0.

Counterexample:

Let A = [[1, 1], [1, 1]]

Let x = [[1], [-1]]

Then Ax = [[1, 1], [1, 1]] [[1], [-1]] = [[0], [0]]

In this case, Ax = 0, but x is not equal to 0. Therefore, the statement is false.

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Answer:

77,777.78

Step-by-step explanation:

The computation of the amount that would be received by his wife is shown below:

Let us assume the daughter would received x

So his wife would received 1.25x

The total estate value is 140,000

Now the equations would be

140,000 = x + 1.25x

140,000 = 2.25x

x = 62,222.22

So his wife would received

= 62,222.22 × 1.25

= 77,777.78

Answer:

Step-by-step explanation:

According to the table, each value of y (dependent variable) is twice the corresponding value of x (independent variable).

This can be shown as

Correct choice is 2 times

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Step-by-step explanation:

1st - false

2nd - true

3rd - false

Answer:

it is true, true, false. your welcome

the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

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