1 point
2. Three boards are unloaded into the factory.
А
B
С
Board A is three times the length of board C, plus 5 inches. Board B is two
times the length of board C, plus 3 inches. The total length of all three boards
is 104 inches. How long is each board?
Your answer
??

Answer:

a. 4 minutes per lap

b. 0.25 laps per minute

c. 36 minutes

Step-by-step explanation:

a. divide 16 by 4 to get the answer

b. divide 4 by 16 to get the answer

c. divide 9 by 4 to get 2.25 then multiply 2.25 by 16 to get 36

The lateral surface area of a rectangular prism is 2(l + w)h sq units.

A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces).

The lateral surface area of a rectangular prism is given by

Where l, w, and h are the length, width, and height, respectively. To find the lateral surface area, we need the values of l, w, and h.

Without these values, it is not possible to determine the lateral surface area of the rectangular prism.

Therefore, the lateral surface area of a rectangular prism is 2(l + w)h sq units.

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Answer:

16801.2cm²

Step-by-step explanation:

Cone :

SA = πrl

SA = π · 28 ·  45                     90-45 = 45

SA = 3958.406744

Cylinder :

SA = 2 · π · r · ( r+h)

SA = 2 · π · 28 ( 28 +45 )

SA = 2 · π · 28 (73)

SA = 12842.83077

12842.83077 + 3958.406744 =

16801.2cm²

Answer:

Step-by-step explanation:

K- -18 =711

Simplify both sides of the equation.

Subtract 18 from both sides.

-Hope this helps!

Answer:

A. 103

B. y = n²+3

Step-by-step explanation:

The growth follows a parabolic curve shown in answer B. Using this equation we can put in any number, such as 10 to get answer A.

The missing term of the second pair, such that both pairs are analogous is WKPA.

For the first two terms, S is 1 letter before Q,

For the first two terms, S is 1 letter before Q,F is 1 letter before D,

For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,

For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,N is next to FM.

For the first two terms S is 1 letter before Q,F is 1 letter before D,Y is next to X ,N is next M.Similarly, UIOZ : WKPA. Where W is 1 letter before U,K is 1 letter before I, O is next to P,Z is next A.

Therefore, the correct option is D.

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Refer to the terms given below. There is a pattern that defines the relationship between the first two terms. Determine this relationship and then identify the missing term of the second pair, such that both the pairs are analogous. QDXM : SFYN :: UIOZ : 1) PAQM 2) LPWA 3) QNLA 4) WKPA

Answer:

I don't know what kind of form your assignment wants it in, but the domain (span over the x axis) is -4<=x<=5, and the range is -3<=x<=5. Perhaps write it is as "-4 to 5" for domain and "-3 to 5" for range.

Step-by-step explanation:

Answer:

The F value is used in analysis of variance (ANOVA). It is calculated by dividing two mean squares. This calculation determines the ratio of explained variance to unexplained variance. The F distribution is a theoretical distribution.

Step-by-step explanation:

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The F ratio in ANOVA is the difference between two mean square values. If

Analysis of variance is a collection of statistical models and the estimation procedures that go with them that are used to analyze the differences between means. Ronald Fisher, a statistician, invented ANOVA. The ANOVA test compares more than two groups at the same time to see if there is a relationship between them.

If the null hypothesis is correct, you should expect F to be close to 1.0 most of the time. A high F ratio indicates that the variation among group means is greater than would be expected by chance.

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The answers are 4. a) 15.7 cm, b) 26.25 m, 5. a) 128.74 cm, b) 40.82 mm, c) 45 cm and 6. 777.28 cm

Given are the circles and the circular items we need to find their circumference,

Circumference of a circle = 2π × radius = Diameter × π

4. a) Circumference = 5 × 3.14 = 15.7 cm

b) Circumference = 8.36 × 3.14 = 26.25 m

5. a) Circumference = 41 × 3.14 = 128.74 cm

b) Circumference = 13 × 3.14 = 40.82 mm

c) Circumference = 14.3 × 3.14 = 45 cm

6.

The perimeter of the cloth = circumference of the circular ends plus length in the middle,

= 76 × 2 × 3.14 + 150 × 2

= 477.28 + 300

= 777.28 cm

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Answer: Approximately 34.17%.

Step-by-step explanation: Let's divide 41 by 120. Doing so, we get 0.3466666 looping forever. We can simplify that to .3417, and then turn that into a percentage giving us 34.17%

Answer:

Angle x is 38.

Step-by-step explanation:

If its congruent it means it is equal. Vertical angles are equal to each other.

The measure of x is 38°.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

Vertical angles are congruent.

x° and 38° are vertical angles.

Now,

x° = 38°

Thus,

The value of x is 38°.

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The solution of the equation c = kny, for y is y = c/kn

The equation is given as

c = kny

Divide both sides of the given equation by k

So, we have

c/k = kny/k

Evaluate the quotient on both sides of the above equation

So, we have

c/k = ny

Divide both sides of the above equation by n

So, we have

c/kn = ny/n

Evaluate the quotient on both sides of the above equation

So, we have

c/kn = y

Rewrite as

y = c/kn

Hence, the solution of the equation c = kny, for y is y = c/kn

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Answer:

25/24=1 1/24

Step-by-step explanation:

Answer:

An equilateral triangle has 3 lines of symmetry

Hope this helps

Step-by-step explanation:

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Answer:

$1,725

Step-by-step explanation:

Given that

The loan amount is $1,500

The interest rate is 15%

And, the time period is one year

We need to find out the future value

so,

The future value = present value × (1 + rate of interest)^number of years

= $1,500 × (1 + 0.15)^1

= $1,500 × 1.15

= $1,725

Answer:

x = 11 and y = 4

Step-by-step explanation:

Given equations are :

x+y=15 ...(1)

-2x+5y=-2 ...(2)

We need to solve the systems of equations.

Multiply equation (1) by 2.

2x+2y=30 ...(3)

Adding equation (2) and (3).

-2x+5y+2x+2y = -2+30

7y = 28

y = 4

Put the value of y in equation (1).

x+4=15

x = 11

So, the solution of the given equations are x = 11 and y = 4.

Answer:

9 because 3^3 is 9

Step-by-step explanation:

And since it's in the ones place nothing can stop it from being 9 since the tens or hundreds place don't contribute to the ones place.

Answer:

c

Step-by-step explanation:

The scale factor and the value of x for each figure is given as follows:

A) Scale factor of 1/3, x = 7 m.

B) Scale factor 0.4747, x = 4.5 in.

For Figure A, we have that the ratio between the areas is given as follows:

510/4590 = 1/9.

As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:

1/3.

Then the value of x is obtained as follows:

x = 21 x 1/3

x = 7 m.

For Figure B, we have that the ratio between the areas is given as follows:

16/71 = 0.22535.

The scale factor is then the square root of 0.22535, which is given as follows:

0.4747.

Then the value of x is given as follows:

x = 9.5 x 0.4747

x = 4.5 in.

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Answer:

X = -21

Step-by-step explanation:

X / 3 + 5 = -2

X / 3 = -7

X = -21

Answer:

x = -9

Step-by-step explanation:

x + 15 = 6

x = 6 - 15

x = -9

Answer

37

Step by Step explanation

replace x with -7

which gives

-(-7)^2-10(-7)+16

= 37

The value of the equation h(x) = -5x-4 is - 19 when h = (3).

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.

As in 3x + 5 = 15, for example.

There are many different types of equations, including linear, quadratic, cubic, and others.

The three primary forms of linear equations are point-slope, standard, and slope-intercept.

So, the equation we have is:

h(x) = -5x-4

Now, solve the equation when h = (3)

h(x) = -5x-4

h(3) = -5(3) -4

h(3) = -15 - 4

h(3) = - 19

Therefore, the value of the equation h(x) = -5x-4 is - 19 when h = (3).

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Answer:

Step-by-step explanation:

1 ) No of total slips after addition = 11

8 slip with 3 on it

3 slips with 9  on it

expectation value = probability of 3 x 3 + probability of 9 x 9

=  (8 / 11)  x 3 + (3 / 11)  x 9

24 / 11 + 27 / 11 = 4.636

2 )

No of total slips after addition = 12

8 slip with 3 on it

4 slips with 9  on it

expectation value = probability of 3 x 3 + probability of 9 x 9

=  (8 / 12)  x 3 + (4 / 12)  x 9

2 + 3 = 5

3 )

Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n  slips with 9  on it

expectation value = probability of 3 x 3 + probability of 9 x 9

=  (8 / 10+n )  x 3 + (2+n  / 10+n )  x 9 = 6

24 + 18 + 9n / 10 + n  = 6

42 + 9n = 60 + 6n

3 n = 18

n = 6

4 )

Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n  slips with 9  on it

expectation value = probability of 3 x 3 + probability of 9 x 9

=  (8 / 10+n )  x 3 + (2+n  / 10+n )  x 9 = 8

24 + 18 + 9n / 10 + n  = 8

42 + 9n = 80 + 8n

n =

n = 38

Minimum of 38 has to be added .

Answer:

The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.

Answer:

there are no solutions if two linear equations are parallel to each other.

*B. no sloution

Answer:

Step-by-step explanation:

The attached graph below can represent the scatter plot of the points. the correct option is B.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

Given:

(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47), (9,34), (10,3), (11, 33), (12, 35)

The above points would be plotted using the following scale such as:

x: axis -> 1 interval = 10 units

y: axis -> 1 interval = 10 units

The attached graph below can represent the scatter plot of the points. the correct option is B.

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An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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