What is the value of the question mark?7 / 8 = ? / 56

Answer: Let X = the smaller of the two consecutive odd integers. Therefore (X + 2) = the larger of the two consecutive odd integers.

Answer:The acceleration that an objects gains is given by the mass of the object.

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Reason:

The given parameters are;

The acting force ∝ The acceleration of the object.

The acceleration given by an amount of force, F, of 18 N = 6 m/s²

Required:

The force acting on the object acceleration, a, is 5 m/s².

Solution:

According to Newton's Second Law of motion, we have;

F = m·a

Where;

m = The mass of the object

Therefore, we have;

From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the

given object is given as follows;

The force acting when the the acceleration, a = 5 m/s², is therefore;

F = 3 kg × 5 m/s² = 15 N

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Step-by-step explanation:

Answer:

2x3=6.

so I think it is either 6 or 12

2x3=6

Answer:

it's 59 I hope this helps

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

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The graph of the equation y = |x| + 5 is given below.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The given equation is y = |x| + 5.

Set the given values for x and find the corresponding values of y.

When x = -3, y = |-3| + 5 = 8

When x = -2, y = |-2| + 5 = 7

When x = -1, y = |-1| + 5 = 6

When x = 0, y = |0| + 5 = 5

When x = 1, y = |1| + 5 = 6

When x = 2, y = |2| + 5 = 7

When x = 3, y = |3| + 5 = 8

Graph of the equation is given below.

Hence the graph of the equation is found.

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The right response is A. The likelihood of a Type II mistake is reduced when the actual parameter is nearer the value of a null hypothesis.

How Can I Obtain Big Number Factors? Divide the numbers by the least positive integer, or 2, to determine the factors of big numbers. Move on to the following prime numbers, i.e. 3, and so on until you hit 1, if the integer is not divided by 2. Here is an illustration of how to determine a big number's factors.

A factor is an integer that completely splits another number. To put it another way, if adding two whole numbers results in a result, then the numbers humans are adding are components of the good or service because the product is divided by them.

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The solution to the inequality will be x ≤ -3. The correct option is B.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The given inequality : | x + 2 |+ 5 ≤ 4 will be calculated as below:-

| x + 2 | + 5 ≤ 4

x + 2 ≤ 4 - 5

x + 2 ≤ -1

x ≤ -1 - 2

x ≤ -3

Therefore, the solution to the inequality will be x ≤ -3. The correct option is B.

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Answer:

B) 20%

Step-by-step explanation:

Exponential equation:

An exponential equation is given by:

\(A(t) = A(0)(1+r)^t\)

In which A(0) is the initial amount and r is the growth rate, as a decimal.

In this question:

\(P(t) = 85(1.2)^t\)

Growth rate:

We want to find r, so:

\(1 + r = 1.2\)

\(r = 1.2 - 1 = 0.2\)

The growth rate is of 0.2 = 2%, and the correct answer is given by option B.

The two prime numbers that add up to 100005, based on the properties of prime numbers would be 2 and 100003.

To find the two prime numbers, the relevant relationship would be  the Goldbach's Conjecture. This posits that every even number greater than 2 can be expressed as the sum of two prime numbers.

So, to write an odd number as the sum of two prime numbers, one of the prime numbers has to be 2 because we know that 2 is the only even prime number.

The other number would therefore be:

= 100005 - 2

= 100003

100003 is a prime number so the two prime numbers are 2 and 100003.

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The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s  and the solution is g=46, s=29, b=29

(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.

This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:

g + s + b = 104

(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:

g = 46

s = b

Thus, the relationship between the number of silver to bronze medals is s = b

(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:

g + s + b = 104

46 + b + b = 104

46 + 2b = 104

2b = 104 -46

2b = 58

b = 58/2

b = 29

Also, s = 29        (Remember: s = b)

Thus, g = 46, s =29, b = 29

Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively

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The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.

We can use the conservation of momentum equation:

(mboat + mperson) * vboat = mperson * vperson

(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)

230 kg * vboat = 56 kg * (0.80 m/s + vperson)

vboat = (56/230) * (0.80 m/s + vperson)

vperson = 0.80 m/s + vboat

vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)

(174/115) * vperson = (504/115) * m/s

Dividing both sides by (174/115), we get:

vperson = 2.896 m/s

vboat = (56/230) * (0.80 m/s + vperson)

Substituting the value of vperson, we get:

vboat = 1.337 m/s

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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.

Answer:

34200000

Step-by-step explanation:

the company made up all their losses which was 23.8 million and they added another 10.4 million in gains therefore we just add the two numbers to show how much more they earned in 2011.

As a result of answering the given question, we may state that triangle As a result, Nina substituted 13 1/3 for b.

A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.

The area of a triangle is calculated as A = (1/2)bh, where A is the area, b is the base, and h is the height. We know Nina computed the area of the triangle correctly as 40 square yards and that she substituted 6 for h.

Hence, using the formula, we may solve for b as follows:

A = (1/2)bh

40 = (1/2)b(6) (6)

40 = 3b

b = 40/3

b = 13 1/3

As a result, Nina substituted 13 1/3 for b.

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Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Answer:

Step-by-step explanation:

10 tacos = $8.49

So, one taco = $8.49 / 10

=> $0.849

If my answer helped, kindly mark me as the brianliest!!

Thank You!!

Answer:

about $0.85

Step-by-step explanation:

8.49 divided by 10 = 0.849. Round to the nearest thousanths.

Answer:24

Step-by-step explanation:

If Jia sells duck eggs and a customer buys 4 cartoons and there are 6 eggs in each cartoon that means 6(4)=Number of eggs customer buys in all

One cartoon= 6 eggs

Two cartoon = 12 eggs

Three cartoon = 18 eggs

Four Cartoon = 24 eggs

So the Customer buys 24  eggs in all

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

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

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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Answer:

457

Step-by-step explanation:

value of 1556

explanion

Answer:

The maximum number of minutes to keep the cost at $50 or less is 110 minutes

Step-by-step explanation:

Given

\(C(x) = 30\) ---- \(x < 60\)

\(C(x) = 30 + 0.40(x - 60)\) --- \(x \ge 60\)

Required

\(C(x) = 50\) ---- find x

We have:

\(C(x) = 30 + 0.40(x - 60)\)

Substitute 50 for C(x)

\(50 = 30 + 0.40(x - 60)\)

Subtract 30 from both sides

\(20 = 0.40(x - 60)\)

Divide both sides by 0.40

\(50 = x - 60\)

Add 60 to both sides

\(110 = x\)

\(x =110\)

The amount of the change he can get back at the cash counter will be 21.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

In a supermarket, the cost of 1 kg of pork, fish, and prawns is RM 3, RM 7, and RM 13 respectively. Ronald has to buy at least 3 kg of pork, 1 kg of fish, and 1 kg of prawn for tonight's dinner for RM 50.

Let the weight of pork be x, fist be y, and prawns be z. And let A be the amount.

Then the linear equation will be given as

3x + 7y + 13z = A

Then the amount of money if Ronald has to buy at least 3 kg of pork, 1 kg of fish and 1 kg of prawn for tonight's dinner will be

A = 3 × 3 + 7 × 1  + 1 3 × 1

A = 9 + 7 + 13

A = 29

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Answer:

when x = 1 then y = 9

when x = -20 then y = -33

when x = 43 then y = 93

Step-by-step explanation:

Just replace the given values of x ( which are 1 , -20 , 43 ) in the function

a) For two distinct real roots: x > 0 or x > m

b) For two distinct real roots: x > 0 or x > 2m

c) For two distinct real roots: x > 0 or x > 4

This is based on the quadratic equation.

Only non-negative integer powers of x are present in the quadratic equation, making it a polynomial equation. In actuality, the Latin word quadratus, which means square, is the root of the term quadratic. The quadratic equation has the generic form ax² + bx + c = 0. where x is an unknowable variable and a, b, and c are mathematical coefficients.

a) Quadratic equation: x² - 4x + m = 0

The discriminant: Δ = b² - 4ac

Δ = (2x)² - 4.x.(m)

Δ = 4x² - 4mx

Δ = 4x (x - m)

For two distinct real roots: Δ > 0

4x (x - m) > 0

x > 0 or x > m

For two real roots: Δ ≥ 0

4x (x - m) ≥ 0

x ≥ 0 or x ≥ m

For a repeated root: Δ = 0

4x (x - m) = 0

x = 0 or x = m

(b) Quadratic equation: mx² + 3x + 2 = 0

The discriminant: Δ = b² - 4ac

Δ = (3x)² - 4.mx.(2)

Δ = 4x² - 8mx

Δ = 4x (x - 2m)

For two distinct real roots: Δ > 0

4x (x - 2m) > 0

x > 0 or x > 2m

For two real roots: Δ ≥ 0

4x (x - 2m) ≥ 0

x ≥ 0 or x ≥ 2m

For a repeated root: Δ = 0

4x (x - 2m) = 0

x = 0 or x = 2m

(c) Quadratic equation: x² - mx + 1 = 0

The discriminant: Δ = b² - 4ac

Δ = (x)² - 4.x.(1)

Δ = x² - 4x

Δ = x (x - 4)

For two distinct real roots: Δ > 0

x (x - 4) > 0

x > 0 or x > 4

For two real roots: Δ ≥ 0

x (x - 4) ≥ 0

x ≥ 0 or x ≥ 4

For a repeated root: Δ = 0

x (x - 4) = 0

x = 0 or x = 4

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Answer:

A. \(h(x)=\sqrt{x-3}\)

Step-by-step explanation:

The parent function of \(\sqrt{x}\) is translated to the left when \(h\) is positive in the transformation \(\sqrt{x+h}\).

If \(h\) is negative, the graph translates towards the left with the distance equal to the value of \(h\).

Here the graph moved 3 units towards the right. This means that \(h\) is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

\(h(x)=\sqrt{x-3}\)

Answer:

1) 38

2) 3

Step-by-step explanation:

f(x)=36+2

f(x)=38

29=9x+2

27=9x

x=3

Question: What is the value of the function at x=−2?

Answer: y=2

Step-by-step explanation: I took the test.

*THIS IS THE CORRECT ANSWER. PLEASE DON'T ANSWER 3. IT IS WRONG!*

According to the given data the equation of the new function is (D) f(x) = 2x - 4.

An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.

If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:

f(x) = h(x) + 5

Substituting the definition of h(x) into this equation, we get:

f(x) = 2x - 9 + 5

Simplifying, we have:

f(x) = 2x - 4

Therefore, the equation of the new function is (D) f(x) = 2x - 4.

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Answer:

21

Step-by-step explanation:

43-(24+6)+8

43-30+8

13+8

21

The answer is: APR = 10.56%

Explanation:   Using an excel spreadsheet and the RATE function, we can calculate the monthly interest rate of buying the car:

=RATE(72,-489,25995)

= 0.8803% monthly interest rate

Then we multiply the monthly interest rate by twelve to get the APR:

APR = 0.8803% x 12 = 10.56%