help i have no faith in myself

Answer:

2/3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.

To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.

Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.

Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.

The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.

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Based on the AA Similarity Theorem, triangles PQR and TSR are proven to be similar to each other because they have two pairs of corresponding angles that are congruent to each other.

The AA (Angle-Angle) Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This means that the corresponding sides of the triangles are in proportion to each other.

With the information given, the proof that shows that the two triangles are similar as as follows:

Statements                                         Reasons                                        

1. ∠QPR ≅ ∠STR                                1. Given

2. QR ⊥ PT                                         2. Given

3. ∠QRP ≅ ∠SRT                               3. def. of perpendicular

4. ΔPQR ~ ΔTSR                                4. AA Similarity Theorem

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Based on the number of cupcakes that Autumn made and the relationship to Averle, the number of cupcakes made by Averle was 16 cupcakes.

Autumn made 72 more cupcakes that the cupcakes made by Averle.

Autumn made 88 cupcakes which means that the number of cakes made by Averle must have been 72 less than this:

= 88 - 72

= 16 cupcakes

In conclusion, Averle made 16 cupcakes.

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Answer:

y = 2x + 1

Step-by-step explanation:

Hope this helps!

Answer: 30.26%

Step-by-step explanation:

Answer:

Answer:

Step-by-step explanation:

y = 4x + 3

To make x the subject send 3 to the other side of the equation

That's

4x = y - 3

Divide both sides by 4 to make x stand alone

\( \frac{4x}{4} = \frac{y - 3}{4} \)

We have the final answer as

\(x = \frac{y - 3}{4}\)

Hope this helps you

Answer:

Option (A)

Step-by-step explanation:

There are two inequalities drawn on a graph.

x + 2y ≤ 4 ------(1)

3x - y ≤ 2 -------(2)

Here solution set of the inequality (1) will be represented by the shaded area below the solid line (in blue) represented by "x + 2y = 4".

(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)

Second inequality will represent the shaded area on the left of the solid red line represented by "3x - y ≤ 2".

(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)

Solution area of these inequalities will be the common area shaded in green.

Graph given in Option (A) will be the answer.

8/19 or 42.1%

add all values up to a total, then find the percentage from that total.

8 + 2 + 1 + 3 + 5 = 19 balls total

8 tennis valls to 19 total.

8/19 or 42.1%

Answer:

Step-by-step explanation:

The equation is y=7x

x      y          Calculation

5     35         y=7x, y=7*5, y=35

6     42         y=7x, y=7*6, y=42

7      49       y=7x, y=7*7, y=49

8     56          y=7x, y=7*8, y=56

According to given,

Total number of students = 120

Number of students with goldfish = 30

Number of students with mouse = 40

Number of students with goldfish and mouse  = 10

Now,

P(G) = 30/120

        = 1/4

P(M) = 40/120

        = 1/3

P(G ∩ M) = 10/120

              = 1/12

Also,

P(G ∪ M) = P(G) + P(M) - P(G ∩ M)

              = 1/4 + 1/3 - 1/12

              = 1/2

Therefore,

P(G) = 1/4

P(M)= 1/3

P(G ∩ M)= 1/12

P(G ∪ M)= 1/2

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Disclaimer : The provided question is incomplete, find the complete question below.

Question : 120 students in a fifth grade class are surveyed about what kinds of pets they have. Of the 120 students,30 have a goldfish, 40 have a mouse, and 10 have a goldfish and a mouse. Using this information, answer each of the following questions.

Let G be the event that a randomly selected student has a goldfish and M be the event that a randomly selected student has a mouse.

What is P(G), the probability that a student in the class has a goldfish?

What is P(M), the probability that a student in the class has a mouse?

What is P(G and M), the probability that a student in the class has a goldfish and a mouse?

What is PG or M), the probability that a student in the class has a goldfish or a mouse?

Answer:

True

Step-by-step explanation:

the decimal does not continue further making it a terminating decimal

Answer: True

Step-by-step explanation: If I'm wrong I'm very sorry.

The statement that shows equivalent measurements is "52 meters = 520 decimeters." Option C.

To determine the equivalent measurements, we need to understand the relationship between different metric units.

In the metric system, each unit is related to others by factors of 10, where prefixes indicate the magnitude. For example, "deci-" represents one-tenth (1/10), "centi-" represents one-hundredth (1/100), and "kilo-" represents one thousand (1,000).

Let's analyze each statement:

5.2 meters = 0.52 centimeters: This statement is incorrect. One meter is equal to 100 centimeters, so 5.2 meters would be equal to 520 centimeters, not 0.52 centimeters.

5.2 meters = 52 decameters: This statement is incorrect. "Deca-" represents ten, so 52 decameters would be equal to 520 meters, not 5.2 meters.

52 meters = 520 decimeters: This statement is correct. "Deci-" represents one-tenth, so 520 decimeters is equal to 52 meters.

5.2 meters = 5,200 kilometers: This statement is incorrect. "Kilo-" represents one thousand, so 5.2 kilometers would be equal to 5,200 meters, not 5.2 meters.

Based on the analysis, the statement "52 meters = 520 decimeters" shows equivalent measurements. So Option C is correct.

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Note the correct and the complete question is

Select the statement that shows equivalent measurements.

A.) 5.2 meters = 0.52 centimeters

B.) 5.2 meters = 52 decameters

C.) 52 meters = 520 decimeters

D.) 5.2 meters = 5,200 kilometers

Answer:I don’t understand

Step-by-step explanation:

Answer:

It is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Evaluate the fractions inside the absolute value

2 \(\frac{5}{6}\) + \(\frac{7}{4}\) ( change mixed number to improper fraction )

= \(\frac{17}{6}\) + \(\frac{7}{4}\) ( the LCM of 6 and 4 is 12 ) , then

= \(\frac{17(2)}{6(2)}\) + \(\frac{7(3)}{4(3)}\)

= \(\frac{34}{12}\) + \(\frac{21}{12}\) ( add the numerators, leaving the common denominator )

= \(\frac{55}{12}\)

= 4 \(\frac{7}{12}\) → D

The symbol for proportionality is "∝". It is read as "is proportional to" or "varies in proportion to".

Proportionality is a mathematical concept that describes the relationship between two quantities. When two quantities are proportional, it means that they have a constant ratio. For example, the distance traveled by a car is proportional to the time it takes to travel that distance. This means that if the time taken to travel doubles, then the distance traveled also doubles.

In mathematics, we use the symbol "∝" to represent proportionality. This symbol is read as "is proportional to" or "varies in proportion to". So, if we say that A ∝ B, it means that A is proportional to B. This implies that if B increases or decreases, then A also increases or decreases, but the ratio of A to B remains constant.

The concept of proportionality is used in various mathematical fields, such as algebra, geometry, and physics. It is a powerful tool for solving problems that involve relationships between quantities, and it is widely used in real-world applications, such as in engineering, economics, and statistics.

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Step-by-step explanation:

36 because since theres 36 people each person gets one for each

Using the fundamental counting principle, it is found that there are 24 different combinations she can wear.

The sweaters and the pants are independent, and this is why the fundamental counting principle is used.

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Thus:

T = 6 * 4 = 24

There are 24 different combinations.

A combination in mathematics is a selection of items from a fixed that have amazing members, making the order of selection irrelevant (not like permutations). For instance, given a set of three fruits—say let's an apple, an orange, and a pear—one can choose between three combinations: an apple and a pear, an apple.

A hard and fast S's ok aggregate is, more precisely, a subset of S's ok amazing components. As a result, two combinations are equal if and best if each contains the same players. (The ties between the people in each group are not considered.)

(n/k) ={ n(n - 1) . . . (n – k + 1)}/{k(k - 1) . . . 1}

n!/{k!(n - k)!}

k > n.

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The two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).

Given that, Angle = 60°, v = 8, 6

Consider unit vector a = (x, y)

x² + y² = 1 …. (1)

Now apply the dot product of unit vector with v

a.v = |a||v|cos Ø

a.v = √ (x² + y²) √ (8² + 6²) cos 60º

8x + 6y = 1 × 10 × ½

So we get,

8x + 6y = 5 …. (2)

y = (5 - 8x) / 6

Substituting the value of y in equation (1)

x² + y² = 1

x² + [(5 - 8x)/6]² = 1

x² + 25/36 + 16x²/9 - 20x/9 = 1

25x²/9 - 20x/9 = 11/36

So we get,

4 × (25x² - 20x) = 11

100x² - 80x = 11

100x² - 80x - 11 = 0

Now solve the quadratic equation,

x = { 2/5 ± √5/10}

Substituting the value of x in equation (2)

y = 3/10 ± 2√5/15

Therefore, the two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).

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Answer:

-11

Step-by-step explanation:

9+35=44. 34+21=55. - each other=-11

The common ratio 'r' is not constant, meaning that the series is not geometric.

Each term in a geometric series is created by multiplying the previous term by a fixed constant known as the common ratio.

To determine if the geometric series (4, -7, 49, -343, 16) is convergent or divergent, we need to find the common ratio 'r' of the series.

r = (next term) / (current term)

r = (-7) / 4 = -1.75

r = 49 / (-7) = -7

r = (-343) / 49 = -7

r = 16 / (-343) = -0.0466...

We can see that the common ratio 'r' is not constant, meaning that the series is not geometric, and therefore we cannot determine if it is convergent or divergent.

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k/x+b=w

Step-by-step explanation:

can you helk me solve mine firsttt

pleaseeeee..im begging you

im in desoerate need

Answer:

it is option B that is correct

Step-by-step explanation:

use BODMAS

B- Brackets

O-order

D-division

M-multiplication

Addition

Subtraction

System of inequalities are :

y> \(x^{2} -4\) and y > \(x^{2} +3\)

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To determine the approximate value of a vehicle that was bought for $27,500 after 12 years of depreciation at a constant rate of 6%, the formula used is:`

V = P (1 - r)^t` Where:

P = Purchase price of the vehicle

= $27,500r

= Rate of depreciation

= 6%

= 0.06t

Time in years = 12 years Substituting the values in the formula,

V = 27,500(1 - 0.06)¹²

= 27,500(0.5134289871) ≈ $14,126.54

The value of the vehicle 12 years after purchase, rounded to the nearest whole dollar is approximately $14,127.

Answer: $14,127 (rounded to the nearest whole dollar).

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The correct option is A, equilibrium price increases from $6 to $8.

In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.

Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.

If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).

From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.

So the correct answer is: equilibrium price increases from $6 to $8.

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There are 9 questions on the test.

Let, the number of multiple-choice questions on the test = m

the number of essay questions on the test = s

m + s = 26  .......(1)

So, We are also told that multiple choice is worth 3 points each, so the total number of points for m questions will be 3m.

As essays are worth 8 points each, so the total number of points for s questions will be 8s.

3m + 8s = 123 .......(2)

Now we will use the substitution method to solve a system of linear equations.

From equation (1) we will get,

m = 26 -s

Substituting this value in equation (2) we will get,

3 * (26- s) + 8s =123

78 - 3s + 8s = 123

5s = 123 -78

5s = 45

s = 45/5 = 9

So, there are 9 questions on the test.

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The complete question is:

Ada’s history teacher wrote a test for the class.

The test is 26 questions long and is worth 123 points.

Ada wrote two equations, where m represents the

number of multiple choice questions on the test, and

s represents the number of essay questions on the test.

m+s= 26

3m + 8s = 123

How many essay questions are on the test?

When we make inferences about the difference of two independent population proportions, we assume that it is a random sample, and the number of successes and failures are at least 15 in each group.

Two independent proportions tests involve comparing the proportions of two unrelated datasets.

For these two datasets to be regarded as an independent population, the following must be true or assumed to be true

Hence, the above highlights are the assumptions of two independent population proportions.

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Answer: y=-2x

Step-by-step explanation: Use the slope formula

-8-2/4-(-1)

-10/5=-2

y=-2

Answer:

y = - 2x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c  ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 2 ) and (x₂, y₂ ) = (4, - 8 )

m = \(\frac{-8-2}{4-(-1)}\) = \(\frac{-10}{4+1}\) = \(\frac{-10}{5}\) = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 2 )

2 = 2 + c ⇒ c = 2 - 2 = 0

y = - 2x + 0 , that is

y = - 2x ← equation of line