Choose a linear function for the line represented by the point-slope equation y - 5= 3(x - 2).
f(x) = 3x + 1
f(x) = 3x - 1
f(x) = 8x + 10
f(x) = 8x - 10

Answer:

The sum is 11c - 14.

Answer: 18 CM

Step-by-step explanation:

Since there are 4 sides to a rectangle, and 2 of them are lengths, we can multiply 24 by 2, which results in 48, and subtract it from the overall perimeter, which results in 36. Since the width is 2 sides, we can divide 36 by 2, which results in 18.

ANSWER

x = 2/5

EXPLANATION

We want to solve the equation below:

To do this, we cross multiply:

2x * 25 = 5 * 4

50x = 20

That is the solution.

After constructing a circle, the next step in constructing an inscribed hexagon by hand is to draw two diameters of the circle that are perpendicular to each other.

Drawing two diameters of the circle that are perpendicular to each other is the next step in constructing an inscribed hexagon because it helps to determine the positions of the vertices of the hexagon. The diameters divide the circle into four equal quadrants, with the center of the circle as the point of intersection. By connecting the points where the diameters intersect the circle, we can identify the six vertices of the hexagon. These vertices will lie on the circumference of the circle and will form the six sides of the inscribed hexagon.

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Answer:

A)65°

B)110°

C)50°

D)55°

E)80°

Step-by-step explanation:

Since the angle on a straight line should be 180, you  simply subtract the given angles from 180

hope I helped

Answer:

4 and -9

Step-by-step explanation:

Answer:

t = 8

Step-by-step explanation:

5t - 3t - 9 = 7

5t - 3t = 7 + 9

2t = 7+ 9

2t = 16    <- divide

Answer"

t = 8

Hope this helped

Brainliest is appreciated/

Hey there!☺

\(Answer:\boxed{t=2}\)

\(Explanation:\)

\(5t-9=-3t+7\)

Let's start by adding 3t to both sides of the equation.

\(5t-9+3t=-3t+7+3t\\8t-9=7\)

Now let's add 9 to both sides of the equation.

\(8t-9+9=7+9\\8t=16\)

Now let's divide both sides by 8.

\(\frac{8t}{8} =\frac{16}{8}\)

Now let's simplify 16/8.

\(16/8=2\)

\(t=2\)

Hope this helps!

Answer: 10

Step-by-step explanation: if you multiply the 11 gallons of gasoline times 2 to get 22 gallons of gaso line then you have to multiply the 5 oz of oil times 2 to get 10 oz of oil

The answer is that the given set of numbers is represented by a Venn Diagram which has two overlapping groups, Multiple of 3, 5, and Multiple of 4, 2.

The set of numbers given is 44, and the question is based on the Venn Diagram which has two overlapping groups, Multiple of 3, 5, and Multiple of 4, 2. The area shared by both groups contains 4 and the area not included in any group contains the number 5.

Venn Diagram is a graphical representation of sets of elements. It is a set of overlapping circles in which the positions of the circles and their overlapping parts represent the relationship between the sets.

The given set of numbers is 44, so it can be represented by drawing a rectangle. The given rectangle is drawn, and it is divided into three parts. In the first part, numbers which are multiples of 3 and 5 are represented.

In the second part, numbers which are multiples of 4 and 2 are represented. In the third part, numbers which are not a multiple of 3, 5, 4, or 2 are represented.

It is given that the overlapping area shared by both groups contains 4, and the area not included in any group contains the number 5, so this can be represented as follows:

The Venn Diagram representation is as follows:In the diagram, the region which represents the numbers that are multiples of both 3 and 5 is shaded with the pink color, and the region that represents the numbers that are multiples of both 4 and 2 is shaded with the blue color.

The area shared by both groups contains 4, and it is shown with the overlapping region of the pink and blue color. The area not included in any group contains the number 5, and it is shown with the white space in the middle of the diagram.

 The overlapping area shared by both groups contains 4. The area not included in any group contains the number 5.

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Answer:

-4+(-5)

Step-by-step explanation:

If the temperature is dropping five you add -5 to negative 4.

Answer:

1/49

Step-by-step explanation:

You wrote the problem correctly.  You just needed to multiply instead of add.

1/7*1/7=1/49

So the answer is 1/49.

Answer:

1/49

Step-by-step explanation:

1/7 times 1/7 = 1/49

Answer:

\( \frac{10}{53 \times 46 \times 26} \)

Step-by-step explanation:

The probability of matching the number drawn on the gold ball is

\( \frac{1}{46} \)

The number of possible pairs of numbers from 1 to 53 is

\( \binom{53}{2} = \frac{53 \times 52}{2} = 53 \times 26\)

Choosing 5 numbers, you are choosing 10 different pairs:

\( \binom{5}{2} = \frac{5 \times 4}{2} = 10\)

Therefore the probability of correctly matching the drawn pair is

\( \frac{10}{53 \times 26} \)

Thus, the probability of winning (matching the pair AND the gold ball) is

\( \frac{10}{53 \times 46 \times 26} \)

Applying logarithm properties, it is found that the logarithm of 1024 is of 3.1.

To find the logarithm of 1024, first we have to know the property of the logarithm of an exponent, given as follows:

\(\log_{x^n} = n\log{x}\)

1024 is equivalent to 2 to the 10th power, as follows:

\(1024 = 2^{10}\)

Hence the logarithm of 1024 can be written as follows:

\(\log{1024} = \log{2^{10}}\)

Applying the exponent property, we have that:

\(\log{1024} = 10\log{2}\)

It is known that log(2) = 0.301, hence:

log(1024) = 10 x log(2) = 10 x 0.301 = 3.1.

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The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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C is calculated from solving simultaneous equation generated, the value of C is equal to 10

The information from the problem helps to derive the equations which are solved simultaneously to get A and B then substituted to solve for C

A + A + B = 17and A + B + B = 13 are the given equations

2A + B = 17

A + 2B = 13

solving with calculator will result to

A = 7 and B = 3

substitution to solve for C

and C = A + B

C = 7 + 3

C = 10

hence c is equal to 10

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Answer:

x = 60°

Step-by-step explanation:

Angles FGD and CGE are veritical angles and therefore congruent.

And because ∠CGE + ∠EGB = 90°  we can substitute the values and solve

30 + x = 90               x = 60°

-30        -30        

The calculated value |Z| = |-2.00722 | = 2.00722 > 2.054 at 0.02 level of significance. So their claim is wrong.

Given that the mean age of retirement for women, executives is 63.2

Given that the size of the sample 'n' = 78

Given that the mean of sample x⁻ = 64.2

Given that the standard deviation  'σ' = 4.4 years

Null hypothesis: H₀: μ ≠ 63.2

Alternative Hypothesis: H₁: μ = 63.2

Test statistic

Z =  -2.00722

|Z| =  2.00722 > 2.054 at 0.02 level of significance

The calculated value |Z| = 2.00722 > 2.054 at 0.02 level of significance

Therefore, we reject the hypothesis.

Statistics is the study of research and surveys on numerical data in mathematics. In order to conduct surveys, the hypothesis must be established. There are typically two different kinds of hypotheses. A null hypothesis is one that holds true, whereas an alternate hypothesis is another.

The null hypothesis is a broad assertion or default stance that there is zero happening or nothing happening in probability and statistics. For instance, there is no association between two measured events or a connection between groups.

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The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.

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Answer: Option d.  0.26

Step-by-step explanation:

Since the addition of complementary angles = 90°

75° + x = 90°

x = 90° - 75 °

x = 15°  ( the complementary angle )

sine 15° = 0.25882

             = 0.26 correct to two decimal places

The given claim by the company that a cereal packet   weighs around 14 oz is considered as a Type I error because it rejects an accurate null hypothesis. Type I error refers to a statistical concept that describes  the incorrect rejection of an accurate null hypothesis.

In short, it is a false positive observation. For the given case, the cereal company positively projects that the mean weight of cereal present in  packets is at least 14 oz and gets rejected, this claim even though it is accurate and should not be rejected, but it wents and is labelled as a Type I error.

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The area between the curves `f(x)` and the `x-axis` on the interval `[1, 4]` is `ln(4) + 1/4` units².

Given the functions: `f(x) = x²/ x² +5` on `[-3,5]` and `f(x) = ln(x)/x` on `[1,4]`Now, we have to find the area between the curves `f(x)` and the `x-axis`.We can calculate the area of the curves with the help of definite integrals of these functions. The formula to find the area between the curves is:

`A = ∫f(x) dx - ∫g(x) dx`

Here, `f(x)` is the upper function and `g(x)` is the lower function.We find the integral of `f(x)` as follows:Let's take

`u = x² + 5`

and

`du = 2x dx`.

So, `f(x) = x² / x² + 5`  becomes: `f(x) = 1 - 5 / (x² + 5)` .

Hence, `f(x)` can be written as: `f(x) = 1 - u / 5`.

Now, we can integrate it to get

`∫f(x) dx` :`∫f(x) dx

= ∫(1 - u / 5) du

= u - ln(u) + C`.

So, we have

`∫f(x) dx = x² + 5 - ln(x² + 5) + C1`.

Now, we find the integral of `g(x)` as follows:`g(x) = 0`.Thus, `∫g(x) dx = 0`.Therefore, the area between the curves of `f(x)` and the `x-axis` on `[-3, 5]` is:

`A = ∫f(x) dx - ∫g(x) dx

= ∫f(x) dx`

The definite integral of `f(x)` on `[−3,5]` is given as:

`A = ∫ f(x) dx from -3 to 5`= `[-3,5] x² + 5 - ln(x² + 5) dx`Putting the limits of `x = -3` and `x = 5`, we get:

`A = (5² + 5 - ln(5² + 5)) - ((-3)² + 5 - ln((-3)² + 5))`

=`(25 + 5 - ln30) - (9 + 5 - ln14)`=`20 - ln30 + ln14`

=`20 + ln(14/30)`

=`20 - ln(15/7)`

Therefore, the area between the curves `f(x)` and the `x-axis` on the interval `[−3, 5]` is `20 - ln(15/7)` units².Now, we will find the area of the curve `f(x) = ln(x)/x` on `[1, 4]`.We integrate `f(x) = ln(x)/x` as follows:

`∫ f(x) dx = ∫ ln(x) / x dx`.

Now, take `u = ln(x)` and `du = dx/x`.Thus, `∫ f(x) dx` becomes:

`∫ ln(x) / x dx

= ∫ u du

= (1/2)u² + C`.

So, we have:`∫ f(x) dx = (1/2)ln²(x) + C2`.

Now, we find the area of the curve with the definite integral on `[1, 4]`:`A = ∫ f(x) dx from 1 to 4`= `[1,4] ln(x) / x dx`

Putting the limits of `x = 1` and `x = 4`, we get:

`A = ln(4) - ln(1)/1 + 1/4`

=`ln(4) + 1/4`

Therefore, the area between the curves `f(x)` and the `x-axis` on the interval `[1, 4]` is `ln(4) + 1/4` units².

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Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

Answer:

b. 8 weeks

Step-by-step explanation:

Answer:

It’s b it’s 8

Step-by-step explanation:

Please mark me brainleist

Answer : The chance that the Islanders will win n games out of 6 is:

0.47 ^ n + (1 - 0.47) ^ (6 - n) * 6! / n! / (6 - n!)So, the chance of winning 4 games is 0.205605

the chance of winning 5 games is 0.072932

the chance of winning all 6 games is 0.010779

Adding these together we get 0.289316

Rounding to the nearest thousandth we get 0.289 (or 28.9%)891 viewsRelated questions (More answers below)

Step-by-step explanation:

Answer

an=a1+(n-1)d

Step-by-step explanation:

a2-a=9_2=7

a3-a2=16-9=7

a4-a3=23-16=7

a5-a4=30-23=7

Step-by-step explanation:

that means 2 blue or 2 red or 2 green.

12 marbles in total.

when the first marble is picked, there are only 11 left.

a probability is always the ratio of

desired cases / totally possible cases

the probabilty to pull first a blue marble is

5/12 = 0.416666666...

if that is the case, then the probabilty for the second marble to be blue too is

4/11 = 0.363636363...

(there are only 4 blue marbles in a total of 11 marbles).

and the probabilty for getting 2 blue marbles is

5/12 × 4/11 = 20/132 = 5/33 = 0.151515151...

the probabilty to pull first a red marble is

4/12 = 1/3 = 0.333333333...

if that is the case, then the probabilty for the second marble to be red too is

3/11 = 0.272727272...

(there are only 3 red marbles in a total of 11 marbles).

and the probabilty for getting 2 red marbles is

1/3 × 3/11 = 3/33 = 1/11 = 0.0909090909...

the probabilty to pull first a green marble is

3/12 = 1/4 = 0.25

if that is the case, then the probabilty for the second marble to be green too is

2/11 = 0.181818181...

(there are only 2 green marbles in a total of 11 marbles).

and the probabilty for getting 2 green marbles is

1/4 × 2/11 = 2/44 = 1/22 = 0.045454545...

the probabilty to have any of these 3 mutually exclusive cases (to get a pair of the same color) is the sum of the probabilities :

0.151515151... + 0.09090909... + 0.045454545... =

5/33 + 1/11 + 1/22 = 10/66 + 6/66 + 3/66 = 19/66 =

= 0.287878787...

The value of the product expression given as product of (2i) and (5+3i) is 10i -6

The product expression is given as:

product of (2i) and (5+3i)

Rewrite the expression as:

(2i) * (5+3i)

Open the brackets

(2i) * (5+3i) = 10i + 6i^2

Evaluate

(2i) * (5+3i) = 10i + 6(-1)

This gives

(2i) * (5+3i) = 10i -6

Hence, the value of the product expression given as product of (2i) and (5+3i) is 10i -6

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The statement is not true in general. The correct formula relating the second differential equations of y with respect to x and t is:

(d²y)/(dx²) = [(d²y)/(dt²)] / [(d²x)/(dt²)]

This formula is known as the Chain Rule for Second Derivatives, and it relates the rate of change of the slope of a curve with respect to x to the rate of change of the slope of the curve with respect to t. However, it is important to note that this formula only holds under certain conditions, such as when x is a function of t that is invertible and has a continuous derivative.

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So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Answer:

We have 6 cards.

9 of hearts

5 of spades

6 of hearts

2 of spades

4 of hearts

7 of hearts.

A is the event where Anwar selects an even numbered card.

B is the event where she choses a heart.

we have 3 even cards (and two of them are hearts)

we have 4 hearts (2 of them are even)

The probability of event A is Pa = 3/6 = 1/2

the probability of event B is = Pb = 4/6 = 2/3

The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:

Paandb = 2/6 =  1/3

the probabilty of A if we know that B is true:

P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)

the probability of B if we know that A is true:

P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)

Answer:

A,B,C,E

Step-by-step explanation:

Khan.

TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!