what is the answer when you multiply 5.30 one by 5.02​

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°

Answer:

x = 5.4

Step-by-step explanation:

since the figures are scaled factors of each other then they are similar.

the ratios of corresponding sides are therefore in proportion, that is

\(\frac{x}{7.2}\) = \(\frac{3}{4}\) ( cross- multiply )

4x = 21.6 ( divide both sides by 4 )

x = 5.4

Answer:13°

Step-by-step explanation:

a + b + x=180 sum of angles in a =180°

85° is alternate to a

Therefore a=85°

98° and b are supplementary angles

98+b=180

b=180-98

b=82°

Recall that

a + b + x=180

85+82+x=180

167 + x=180

Collect like terms

x=180-167

x=13°

The vertices of the image after transformation is K(5,-2), L(-1,3) and M(4,-5)

A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same.

A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

According to the given question,

with respect to the mirror

the vertices of the image of the triangle is

J (2,-5) ---------->! (5,2)

K (-1, -3) --------> K'(-1,3 )

L (-4, 5) --------->"(4,-5 )

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Answer:

3

Explanation:

\(\bold{\left(x_1,\:y_1\right)=\left(-1,\:-4\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)}\)

\(\bold{m=\frac{2-\left(-4\right)}{1-\left(-1\right)}}\)

m = 3

the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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Answer: \(0.00005\)

Step-by-step explanation:

Given

The probability that a certain component in a communication satellite fails is 0.005.

There is an independent backup system, and the probability that is fails is 0.01

The probability that both the system fails is given by

\(\Rightarrow P=0.005\times 0.01\\\Rightarrow P=0.00005\)

Answer:

the answer is 5.37

Step-by-step explanation:

thats the answer

Answer:

B.

Step-by-step explanation:

In the attached file

Answer:

12x+9

Hope you got your answer!

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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Answer:

20π

Step-by-step explanation:

Area = πr^2

100π = πr^2

solve for r and r = 10

circumference of a circle is 2πr

therefore 2π×10=20π in

The mathematical sentence can be written as:

x^3 = y^5

A number a to the power of n is written as:

a^n

Then:

"x to the power of 3 is equal to y to the power of 5"

Would be written as:

x^3 = y^5

Particularly, this does not appear in the given options, but this is the correct and simplest way of writing the given mathematical sentence.

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The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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Answer:

x = ^ y - 10/ 15

Step-by-step explanation:

The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

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The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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Answer:i dont know

Step-by-step explanation:

Answer:

Pretty sure its D.

Step-by-step explanation:

Whenever I made t something higher than 0 I got something less than 40|

(Sorry if I didn't make it in time and if I did I'm taking the same test rn gl homie)

The value of function W(t) will be less then 40 if t > 0 thus option (D) is correct.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

W(t) = 40\(e^{-0.35t}\)

By the law of indices,

W(t) = 40/\(e^{.035t}\)

When t > 0 the value of  \(e^{.035t}\) > 1

Thus, t > 0 the value of W(t) < 40

Hence "The value of function W(t) will be less then 40 if t > 0".

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Answer:

x=k+c/5

Step-by-step explanation:

move the C to the other side with K and change the sign and then you divide by 5 * the slash means divide*

Hope this helped, Have a wonderful Day!!

Step-by-step explanation:

5x=k+c

x=(k+c)/5

therefore x= ( k+c ) /5

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Add 65 and 85

65+85= 150

Next subtract 180-150

The answer is 30, so that is the missing angle is 30.

The side opposite to 30 is the shortest side

Here I added the picture!

Answer:

What do we have to do in this? Find x? Let me know I'll explain it in the comment section

Answer:

its b

Step-by-step explanation:

i got answer wrong and it was b

There are 9/10 groups of Two-thirds are in Three-fifths.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

There are groups of Two-thirds are in Three-fifths.

Now,

Let x groups of Two-thirds are in Three-fifths.

Hence, we can formulate;

⇒ x = 3/5 ÷ 2/3

⇒ x = 3/5 × 3/2

⇒ x = 9/10

Thus, Number of groups of Two-thirds are in Three-fifths = 9/10

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Answer:

H0: μc ≤ μs    Ha :μc > μs    

Step-by-step explanation:

The null and alternate hypotheses can be stated as

H0: μc ≤ μs    Ha :μc > μs    one tailed test

Where

μc =  Mean of college students watching movies in a month

μs  =  Mean of school students watching movies in a month

For one tailed test of α =0.05   the value of Z= ± 1.645

The critical region will be Z >  ± 1.645

It is of importance to note that by rejecting the null hypothesis and accepting the alternate hypothesis we are automatically rejecting all values of mean that are greater than 7.1

The best statement for the author's purpose is to persuade governments to use more nuclear energy [option c]

Given is paragraph about nuclear energy,

The author is describing the benefits of the nuclear energy, the first construction of the nuclear power plants, he is describing the how other nations are utilizing nuclear power plants to lessen their greenhouse gas emissions and dependence on fossil fuels.

Mentioned the disaster at Chernobyl in Russia, also the paragraph holds the information about the cost of establishment of the same.

Hence, the author's purpose is to persuade governments to use more nuclear energy [option c]

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The paragraph is =

Nuclear Power: No Need for a Meltdown The ability to split atoms and harness the power released has been around since the 1950s. Nuclear power is a safe, relatively clean and renewable source of energy. Considering the energy costs of the United States, it makes good sense to develop the American nuclear power industry. At present there are just over 100 nuclear plants in America providing 20% of our nation's electricity needs. No new nuclear power plants have been built since the 1970s. While America has neglected nuclear power plant development, other countries have enthusiastically utilized nuclear power plants to lessen their greenhouse gas emissions and dependence on fossil fuels. Modern advances in nuclear reactor construction and monitoring have resulted in safer energy production. Accidents that occurred in the past, like the famous meltdown at Chernobyl in Russia, are very unlikely in the twenty-first century. Nuclear power is safer than ever before. Unfortunately, the initial costs in building a nuclear power plant are very high. Nuclear reactors can cost as much as eight billion dollars. Another challenge is that building plants that meet the safety requirements of the American public takes a long time. Financing such long term construction products is often beyond the ability or not in the interests of private commercial banks. Since banks are unwilling or unable to lend the money, the federal government should step in and finance construction. Other governments around the world justify financing nuclear power plant construction as a vital national interest; we should too.

Answer:

x axis - (18,0)

y axis - (0,12)

quadrant I - (4.5, 10.6)

quadrant II -(-15,21)

quadrant III - (-3/4, -4 1/9)

quadrant IV - (0,-7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

≠ = not equal to.

> = greater than.

< = less than.

≥ = greater than or equal to.

≤ = less than or equal to.

In this video I give step by step directions for translating words into inequalities.

​These statements use the greater than symbol

>

More than

Exceeding

Above

Greater than

These statements use the greater than or equal  symbol ≥

At least

No fewer than

minimum

top

No less than

These statements use the less than symbol

<

Fewer than

Below

Less than

These statements use the greater than or equal symbol

≤

No more than

Not above

Does not exceed

At most

Bottom

Please brainlist hope this helps <3

Answer:

81

Step-by-step explanation:

Average | x = 81

Count | n = 5

Sum | Sum = 405

Solution:

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count

= 405 / 5

= 81

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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