What is the solution of a - 3 = -7

Answer:

There are a total of 25 marbles in the bag.

The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.

Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.

The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.

To find the probability of both events occurring together, we multiply their individual probabilities:

8/25 x 1/8 = 1/25

Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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X is equal 5 in 4 to the power of 2x divided by 8 to the power x is equal to 32.

Raising a base number to an exponent is referred to as "power" in mathematics. It indicates that "base number" and "exponent" are the two fundamental components of powers. The exponent shows how many times the base number has been multiplied, whereas the base number is defined as a number that is multiplied by itself.

In a nutshell, power is a number that has exponents used to express it. It means that the same element has been multiplied repeatedly. In the context of powers, the following specific terminology may be used:

Whenever a number:

Squared = power is 2

cubed = Power is 3

to the power of n = used for powers more than 3

The data given gives as an equation as followed

⇒ \(4^{2x}\) ÷ \(8^x\) = 32

⇒ \((2^2)^{2x}\) ÷ \((2^3)^{x}\) = 32

⇒ \(2^{4x}\) ÷ \(2^{3x}\) = 32

⇒ \(2^{(4x - 3x )}\) = 32             (If the base is same in a division, then the powers

⇒ \(2^x\) = 32                    can simply be subtracted with the base as common)

⇒ 2 = \(\sqrt[x]{32}\)

⇒ 2 = \(\sqrt[5]{32}\)

Thus, x = 5

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Answer:

\(3)\ and\ 4)\)

Step-by-step explanation:

\(We\ are\ given\ that,\\A\ is\ the\ set\ of\ squares.\\x\ belongs\ to\ the\ Set\ A\\y\ belongs\ to\ the\ Set\ A,\ too.\\Hence,\\Lets\ consider\ that\ \sqrt{x} =a, \sqrt{y}=b\\Hence,\\a^2=x, b^2=y\\Before\ proceeding\ we\ may\ use\ the\ following\ Laws\ Of\ Exponents:\\* For\ any\ two\ real\ numbers,\ m\ and\ n, m^a*n^a=(mn)^a\\* For\ any\ two\ real\ numbers,\ m\ and\ n, \frac{m^a}{n^a}=[\frac{m}{n}]^a\\\)

\(Now,\\When\ we\ intend\ to\ multiply\ x\ and\ y,\\x*y=a^2*b^2\\xy=a^2*b^2\\xy=(ab)^2\\As\ the\ new\ term\ xy\ is\ the\ square\ of\ product\ of\ a\ and\ b\,\ it\\ is\ a\ square\ too.\ Hence,\ it\ belongs\ in\ the\ set\ of\ squares(A).\\Similarly,\\When\ we\ intend\ to\ divide\ x\ by\ y,\\\frac{x}{y} =\frac{a^2}{b^2}\\Hence,\\\frac{x}{y} =[\frac{a}{b}]^2\\As\ the\ new\ term\ \frac{x}{y}\ is\ the\ square\ of\ the\ quotient\ of\ a\ and\ b\ i.e\ \frac{a}{b}, the\ term\\ \frac{x}{y}\ too\ belongs\ toA\)

\(Why\ not\ 1)\ and\ 2)?\\Because\ by\ just\ adding/subtracting\ x\ and\ y:\\x+y=a^2+b^2\\x-y=a^2-b^2\\It\ doesnt\ really\ prove\ that\ their\ sum\ say\ c\ is\ a\ perfect\ square.(except\\ in\ the\ case\ of\ Pythagorean\ Triplets [Ex. 3,4,5\ or\ 6,8,10]. Hence, As\\ not\ all\ numbers\ form\ integral\ pythagorean\ triplets,\\ (x+y)\ and\ (x-y)\ are\ not\ always\ perfect\ squares\ and\ hence,\\ dont\ belong\ to\ Set\ A.\)

\(This\ gives\ Options\ 3)\ and\ 4)\ as\ the\ right\ answer.\)

Answer:

The answer is D. Cone

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

Answer:

$1.33 per ticket cost

Step-by-step explanation:

5 / $3.75 = $1.33 per 1 ticket cost

Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.

To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.

Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.

To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.

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Answer:

75%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

There are four scoops, and three of them are mini chocolate chips. 3/4=75/100. Therefore, 75%

Answer:

96m

Step-by-step explanation:

Answer:

The correct answer is 48 m.

Step-by-step explanation:

To find our answer we will first multiply the base times height. 16 is the base and 6 is the height. Therefore, 16 x 6 = 96. Now we are going to multiply 1/2 or 0.5 by 96 and we get 48m.

I also had a quiz on this and I got it correct after I checked my work. Have a good one mate

The derivative of g(x)=√9-x​ is  mathematically given as

\(\frac{d}{d x}\left[x^n\right]$\)is \($n x^{n-1}$\)

This is further explained below.

\(g(x)=\sqrt{9}-x\)

Rewrite 9 as 3^2.

\(\frac{d}{d x}\left[\sqrt{3^2}-x\right]\)

Pull terms out from under the radical, assuming positive real numbers. \(\frac{d}{d x}[3-x]\)

Differentiate.

By the Sum Rule, the derivative of 3-x with respect to x is

\($\frac{d}{d x}[3]+\frac{d}{d x}[-x]$.\)

\($\frac{d}{d x}[3]+\frac{d}{d x}[-x]$\)

Since 3 is constant with respect to x, the derivative of 3 with respect to x is 0 .

\($0+\frac{d}{d x}[-x]$\)

Evaluate

\(\frac{d}{d x}[-x]$.\)

Since -1 is constant with respect to x, the derivative of -x with respect to x is -\frac{d}{d x}[x].

\(0-\frac{d}{d x}[x]\)

Differentiate using the Power Rule which states that

t\(\frac{d}{d x}\left[x^n\right]$\)is \($n x^{n-1}$\)

In conclusion,

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Answer:

Step-by-step explanation:

2+3x=62

3x=60

x=20

Hope this helps! Brainliest? :D

Answer:

Second answer

Step-by-step explanation:

first answer: 4 negative numbers  multiplied = 2 postive numbers multipled = 1 positive number

second answer: 3 negative numbers multiplied = 1 positive number multiplied by 1 negative number = 1 negative number

third answer: Negative and positive numbers multiplied by zero = 0

fourth answer: 2 negative numbers multiplied by 2 positive numbers = 1 positive number multiplied by 1 positive number = positive number.

Answer:

It would be the first one

Step-by-step explanation:

I literally just learned this and i know if its a function because if you make a straight line only one of the points will be in that line.

Hope this helps!

Answer:

The first one letter W.

If the maximum vertical length of pool is 40 feet, and the maximum horizontal width of pool is 18 feet , then the equation that represent the pool is x/81 + y/400 = 1 , the correct is option is (B) .

In the question ,

it is given that

the shape of the pool is ellipse .

the maximum vertical length is 40 feet

the maximum horizontal length is 18 feet .

the general equation of the ellipse , is given by x/a + y/b = 1 ,

where a is the length of horizontal axis from origin

and b is the length of the vertical axis from the origin ,

So , the equation that represents the pool is x/81 + y/400 = 1

Therefore , if the pool is in the shape of ellipse , then the equation of the pool is x/81 + y/400 = 1  .

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Answer:

x = 39°

y = 90°

Step-by-step explanation:

Answer:

x = 39°

y = 92°

Step-by-step explanation:

x = 39° because alternate (or z) angles are equal.

x = 92° because all angles in a triangle add up to 180°.

so

49+39=88

angles on a straight line are equal to 180°

180°-88° = 92

Hope this helps!

Answer:

b. 254.34

c. 3.33

that is the answer I suppose

The values of  y, RS and ST are 15, 107 and 33 respectively

From the information given, we have that:

Let's assume that line RS is a line segment and T lines between R and S

We then have:
RS = ST + RT

substitute the expressions

7y + 2 = 2y + 3 + 77

Collect like terms

7y - 2y = 3 + 77 - 2

Add/ subtract like terms

5y = 75

Make 'y' the subject

y = 75/ 5

a. y = 15

b.

RS = 7y + 2 = 7 (1 5) + 2 = 107

ST = 2y + 3 = 2 ( 15) + 3 = 33

Thus, the value of  y, RS and ST are 15, 107 and 33 respectively

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The value of y in the number line is 8.

RS = 58

ST = 19

RS = 7y + 2

ST = 2y + 3

RT = 77

Therefore, the value of y can be found as follows:

S is between R and T.

Therefore,

7y + 2 + 2y + 3 = 77

7y + 2y + 5 = 77

9y = 77 - 5

9y = 72

y = 72 / 9

y = 8

Hence,

RS = 7(8) + 2 = 58

ST = 2(8) + 3 = 19

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Answer:

2x + 6y = 9 , 3x -12y = 15

3x - 12y = 15    3x = 12y + 15    x = 4y + 5

+12y   +12y         /3     /3

2x + 6y = 9 , x = 4y + 5

2(4y + 5) + 6y = 9        2x + 6(-1 / 14) = 9

8y + 10 + 6y = 9            2x - (3/7) = 9

14y + 10 = 9                    2x = 66 / 7

14y = -1                            x = 33 / 7

/14    /14

y = -1 / 14

Answer

f(8) = 39

Explanation

The question asks us to find f(8), that is, f(x) when x = 8 if

f(x) = 5x - 1

Inserting x = 8

f(8) = (5 × 8) - 1

f(8) = 40 - 1

f(8) = 39

Hope this Helps!!!

The highest height for the daily rainfall were for 5 and 6 inches

Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.

From the given dot plot, we see the number of times for each height of rainfall.

Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.

Thus, we conclude those were the highest heights for the daily rainfall.

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The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:

40%

Step-by-step explanation:

Answer:

6,7,8,9

Step-by-step explanation:

> means Greater than

< means Less than

Thus,

Any number that greater than 10 would make this inequality true..

Some possible values for x can be:

6,7,8,9,11,12,13,14,15,16,17,18 and so on

[RevyBreeze]

Answer:

m<EAG = 132°

Step-by-step explanation:  

First we have to solve for x.

W=7x+12

G=8x-15

A=180-(12x+24)

All 3 of those added together should equal 180.

7x+12+8x-15+180-(12x+24)=180

7x+12+8x-15+180-12x-24=180

3x+153=180

3x=180-153

3x=27

x=9

SO, m<EAG = 12x+24 = 12(9)+24=108+24=132

Can u post the picture so we can help?

Answer:

ysysysuajan. ?bzjsjsnanannshzbzvsvs

Step-by-step explanation:

sgvsbsbahajananba

Answer:

24 : 15 : 20

Step-by-step explanation:

express ratios in fractional form and express b and c in terms of a

\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )

8b = 5a ( divide both sides by 8 )

b = \(\frac{5}{8}\) a

also

\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )

3c = 4b ( divide both sides by 3 )

c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a

Then

a : b : c

= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )

= 24a : 15a : 20a ( divide each part by a )

= 24 : 15 : 20 ← in simplest form

The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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