mn giúp e 2 câu này với , e cảm ơn :((

Answer:

d² - 24d + c = (d - 12)² - 144 + c

Answer:

Step-by-step explanation:

Using formula y=kxz

so,

24=k*4*3

k=2

so if we put x=12 and z=4,

y=2*12*4

y=48

Answer:

Step-by-step explanation:

To find the distance Tyler needs to swim, we can use the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side, which is the hypotenuse.

In this case, the two shorter sides of the triangle are 40 feet and 80 feet, and the hypotenuse is the distance Tyler needs to swim to reach Jason. So we can write the equation as follows:

40^2 + 80^2 = d^2

where d is the distance Tyler needs to swim.

Expanding the equation:

1600 + 6400 = d^2

8000 = d^2

Taking the square root of both sides:

d = sqrt(8000) = 80 * sqrt(2)

So, Tyler needs to swim a distance of 80 * sqrt(2) feet, or approximately 113.1 feet, to reach Jason.

Answer:

The middle! Please vote Brainliest!

Step-by-step explanation:

Answer:

The middle choice

Step-by-step explanation:

The bars go the same amount foward

Answer:

59,582π/375 (approximately 499.153) square centimeters

Step-by-step explanation:

Volume:

\( \frac{1}{3} \pi {(6.2)}^{2} (12.4)\)

\( \frac{1}{3} {( \frac{31}{5}) }^{2} ( \frac{62}{5} )\pi\)

\( \frac{59582\pi}{375} \)

Answer:

500 below because you just do the opposite

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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nswer:

1st Option is correct that is Price B , Price A , Price C

Step-by-step explanation:

0.33 < 038 < 0.49  ⇒ Price B < Price A < Price C  

Approximately, it's going least to greatest

2.25/6=0.33

1.30/4= 0.38

0.97/2 = 0.49  ALL ROUNDED

Answer:

its the first one

Step-by-step explanation:

hope that helps

Answer:

If f(x) = +4, which of the following is the inverse of f(x)?

O A. ƒ˜¹(x) = 2(2+4)

B. ƒ˜¹(x) = 7(2-4)

C. ƒ˜¹(x) = 7(2+4)

D. f¯¹(x) = ²(2-4)

Step-by-step explanation:

Answer:

an-1+8 where a1 =10

Step-by-step explanation:

Since 10 is the starting variable we know that a1 is 10.

The Recursive Formula is  \(a_n\) = 10 + 8n.

Any term of a series can be defined by its preceding term in a recursive formula (s).

For example: The recursive formula of an arithmetic sequence is, an = an-1 + d. The recursive formula of a geometric sequence is, an = an-1r.

Given:

Opening amount in bank= $10

Each week he will deposit $8.

On End of first week = 10+ 8= $18

On End of second week = 18 + 8= $26

On End of third week = 26+ 8= $34

Continuing this way we get

By end of n weeks, \(a_n\) = 10 + 8n

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A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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Answer:

Step-by-step explanation:

Their present ages is 50 and 70.

Let Ages of two persons is 5x,7x

Eighteen years ago their ages were (5x-18),(7x-18) Their ratio is 8:13 so…

(5x-18)/(7x-18)=8/13

13(5x-18)=8(7x-18)

65x-234=56x-144

65x-56x=234–144

9x=90

x=10

According to Given Questions Assume that,

The Present Age of A and B be 5 x and 7 x years Respectively

: \( \implies\) A's Age 8 years = ( 5 x - 8 ) years

: \( \implies\) B's Age 8 years = ( 17 x - 8 ) years

: \( \implies\) ∴ 5 x - 8 / 7 x - 8

: \( \implies\) = 7 / 13

: \( \implies\) 13 ( 5 x - 8 ) = ( 7 x - 8 )

: \( \implies\) 65 x 49 x - 56

: \( \implies\) 16 x = 48

: \( \implies\) = 48 / 16 = 3

A's Present Age of 5 years = ( 5 × 3 ) = 15 years

B's Present Age of 7 years = ( 7 × 3 ) = 21 years

Answer:

t = 21

Step-by-step explanation:

The ball strikes the groujd when h = 0.

\(-3.2t^2 + 54.4t+268.8=0 \\ \\ 32t^2 - 544t-2688=0 \\ \\ t^2 - 17t-84=0 \\ \\ (t-21)(t+4)=0 \\ \\ t=-4, 21\)

Since time must be positive, t = 21.

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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The simplification of given expression is (x^6-3).

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Here, given expression is,  

2x^9-6x^3/2x^3

=2x^3(x^6-3)/2x^3

=(x^6-3)

Hence, required simplification of given expression is (x^6-3)

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9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

It is convenient to remember the ratios of side lengths of these "special triangles."

The side ratios of ΔABC are 1 : 1 : √2, so BC = AC/√2 = 6.

The side ratios of ΔBCD are 1 : √3 : 2, so BD = BC/2 = 6/2 = 3.

The value of x is 3.

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.

Step-by-step explanation:

Answer:

I can't see it that wel..?m

Answer: 30(x-5)

Explanation:

$30 per overtime hours,

30*(x-5)

The that will represent the exponential function is given in image

What are exponential functions, exactly?

A mathematical function with the formula f (x) = aˣ, where "x" is a variable and "a" is a constant that is referred to as the function's base and must be greater than zero. The most commonly used exponential function basis is the transcendental number e, which is approximately equivalent to 2.71828.

Exponentially increasing growth

In Exponential Growth, the amount expands incredibly slowly at first, then rapidly. With the passage of time, the rate of change quickens. The rate of growth quickens as time passes. The fast growth is supposed to indicate a "exponential ascent".

The exponential growth formula is: y = a (1+ r)ˣ, where r is the proportion of increase.

Now,

As the function y=10x² represents the number of gummies after x months

the the graph will be  

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For the experiment by Cliff, the bar graph will most likely have the same height for the number of times each letter appears.

For the experiment by Devon, the bar graph will most likely have the same height for the number of times the letter A, E, and U appears and the same height for the number of times O and I appear. However, the height of the bar graphs for O and I will most likely be half that of A, E, and U.

For the experiment by Cliff, the probability of the letters appearing is given below:

The letters have equal chances of being picked, hence, their probabilities are equal.

Probability = 1/5

For the experiment by Cliff, the probability of the letters appearing is given below:

The letters A, E, and U have equal chances of being picked, hence, their probabilities are equal.

P(A) = 1/4

P(E) = 1/4

P(U) = 1/4

The letters O and I have equal chances of being picked, hence, their probabilities are equal.

P(O) = 1/8

P(I) = 1/8

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Answer:

18 inches

Step-by-step explanation:

The median of a trapezoid is the average of the lengths of the bases.

15 + 21 = 36

36 ÷ 2 = 18

good luck, i hope this helps :)

Answer:

18 inches

Step-by-step explanation:

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5 pounds - 1.89

3 pounds - 1.99

1 pound - 2.05

In this case, the 5 pounds of chicken is the cheapest by exactly one dime.

The relationship between the circumference C of the circle in which the degree measure A of a central angle of a circle intercepts an arc length s of the arc is

B) C=360 degrees s over A

The relationship between the circumference C of a circle and the degree measure A of a central angle that intercepts an arc length s of the arc can be described by the formula:

s = A / 360 * C

Make C the subject of the formula

s = AC / 360

360s = AC

rearranging

AC = 360s

C = 360 degrees s / A

C = (s / A) * 360°

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Answer:

\(\textsf{B)} \quad C=\dfrac{360^{\circ}\:s}{A}\)

Step-by-step explanation:

In a circle, the ratio of an arc length (s) to the circumference (C) is equal to the ratio of the measure of the arc's central angle (A) to 360°.

This is because:

Therefore, this can be expressed as:

\(\dfrac{s}{C}=\dfrac{A}{360^{\circ}}\)

Cross multiply:

\(360^{\circ} \cdot s=C \cdot A\)

Now, divide both sides by A to isolate C:

\(\dfrac{360^{\circ} \cdot s}{A}=C\)

Therefore, the relationship between the circumference (C) of the circle in which the degree measure (A) of a central angle of a circle intercepts an arc length (s) of the arc is:

\(\large\boxed{\boxed{C=\dfrac{360^{\circ}\:s}{A}}}\)

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Therefore, sin(0) = -√305/41 when 0 is an angle in quadrant IV.

Trigonometry is a branch of mathematics that deals with the study of relationships between the angles and sides of triangles. It is used to solve problems in many fields, including engineering, physics, astronomy, and architecture. Trigonometry involves the use of functions such as sine, cosine, and tangent to relate the angles and sides of a right triangle. It also includes the study of trigonometric identities, equations, and graphs, as well as applications of trigonometry in real-world situations.

Here,

If 0 is an angle in quadrant IV, then cosine is positive and sine is negative. We can use the Pythagorean identity to find the value of sin(0):

sin²(0) + cos²(0) = 1

sin²(0) = 1 - cos²(0)

sin(0) = -√(1 - cos²(0))

substituting the given value of cos(0):

sin(0) = -√(1 - (4√47/41)²)

sin(0) = -√(1 - (16*47/41))

sin(0) = -√(1 - 736/41)

sin(0) = -√(305/41)

sin(0) = -(√305)/√(41)

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The period is 2.

Normally the period of sin(x) is 2pi, but the pi inside the sin(pix) is a horizontal compression by a factor of 1/pi.  So 2pi·1/pi = 2

The "1/2" and "+3" do not impact the period.  Those just impact the amplitude (vertical aspect) of the graph.

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°