what’s 3х + 7>4х +2

y = -\(\frac{5}{3}\)x+5  equation has an X intercept of 3 and a y intercept of 5 .

  The point on a line where it crosses an axis is referred to as the "intercept." The slope of the line passes through a point called an intercept on the y-axis.

The equation for a line, which is written as y = mx+c, which stands for slope and y-intercept, respectively, reflects this.

The two main intercepts are X-intercept and Y-intercept. Where the line crosses the x and y axes, respectively, is where the line's x-intercept and y-intercept are situated.

In this case, you are given both intercepts.

Plot a line from the third x-axis point.

On the y-axis, place the coordinates y = 5.

The necessary line is a straight line that passes through these two places is

y = -\(\frac{5}{3}\)x+5

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Answer:

= x-24

Step-by-step explanation:

\( \frac{x}{1.2} - 18 - 2 \\ = 1.2 \times \frac{x}{1.2} - 1.2 \times 18 - 1.2 \times 2 \\ = x - 21.6 - 2.4 \\ = x - 24\)

Answer:

Wednesday

Step-by-step explanation:

Friday is the day before the day before yesterday

Saturday is the day before yesterday

Sunday is yesterday

Monday is today

Tuesday is tomorrow

Wednesday is the day after tomorrow

Answer:

i cant seem to find ur anwser it seems confusing

Step-by-step explanation:

it is confusing

Answer:

600g of Flour

Step-by-step explanation:

According to the question every 15 biscuits is 50g it need 50g of sugar and flour is 3 times the amount it needs for 15 biscuits so 50*3=150 now we know 15 biscuits need 150g of flour so 30 requires 300 and 300g +300g is equal to 600g of flour.

Answer:

600 g of flour.

Step-by-step explanation:

If Deon needs 50 g of sugar to make 15 biscuits, and she is going to make 60 biscuits, then she will need 200 g of sugar, since 60/15 is 4.

If the amount of flour she needs is equal to the amount of sugar multiplied by three, or 3x, if x is the amount of sugar, then she will need 200 x 3 g of flour.

Therefore, she will need 600 g of flour.

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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the first is  and answer and so is the 2

The calculated value of x in the circle is 59

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

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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Answer: Tariq sold 12 cards.

Step-by-step explanation:

    First, a percent divided by 100 becomes a decimal.

2% / 100 = 0.02

    Next, we need to find 2% of 600 cards. In mathematics, "of" means multiplication. We will multiply.

0.02 * 600 cards = 12 cards

         Tariq sold 12 cards.

Answer:

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal

Step-by-step explanation:

Just do what i put up there

Answer:

f⁻¹(x) = 2ˣ / 9

Step-by-step explanation:

f(x) = log₂ (9x)

y = log₂ (9x)

swap y and x:    x = log₂ (9y)

solve y: 9y = 2ˣ        y = 2ˣ / 9

f⁻¹(x) = 2ˣ / 9

The equation of the inverse of the function f(x) = log2 (9x) should be considered as the \(f^{-1}(x) = 2^x / 9\)

Since

f(x) = log₂ (9x)

So,

y = log₂ (9x)

Now

swap y and x so    x = log₂ (9y)

And, now we have to solve for y

9y = 2ˣ      

y = 2ˣ / 9

f⁻¹(x) = 2ˣ / 9

Hence, The equation of the inverse of the function f(x) = log2 (9x) should be considered as the \(f^{-1}(x) = 2^x / 9\)

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Answer:

Step-by-step explanation:

Let the coordinates of B be (x,y)

\(5=\frac{0+x}{2}\\x=5 \times 2=10\\3=\frac{0+y}{2}\\y=3 \times 2=6\\so~B~is~(10,6)\)

Answer: (x+2)(x−7)

Step-by-step explanation: I'm built different

Answer:

(x-7)(x+2)

Step-by-step explanation:

Answer:

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10.

Step-by-step explanation:

Answer:

In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.[1][2] The order of the magic square is the number of integers along one side (n), and the constant sum is called the magic constant. If the array includes just the positive integers {\displaystyle 1,2,...,n^{2}}{\displaystyle 1,2,...,n^{2}}, the magic square is said to be normal. Some authors take magic square to mean normal magic square.[3]

The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3

Magic squares that include repeated entries do not fall under this definition and are referred to as trivial. Some well-known examples, including the Sagrada Família magic square and the Parker square are trivial in this sense. When all the rows and columns but not both diagonals sum to the magic constant we have semimagic squares (sometimes called orthomagic squares).

The mathematical study of magic squares typically deals with its construction, classification, and enumeration. Although completely general methods for producing all the magic squares of all orders do not exist, historically three general techniques have been discovered: by bordering method, by making composite magic squares, and by adding two preliminary squares. There are also more specific strategies like the continuous enumeration method that reproduces specific patterns. Magic squares are generally classified according to their order n as: odd if n is odd, evenly even (also referred to as "doubly even") if n is a multiple of 4, oddly even (also known as "singly even") if n is any other even number. This classification is based on different techniques required to construct odd, evenly even, and oddly even squares. Beside this, depending on further properties, magic squares are also classified as associative magic squares, pandiagonal magic squares, most-perfect magic squares, and so on. More challengingly, attempts have also been made to classify all the magic squares of a given order as transformations of a smaller set of squares. Except for n ≤ 5, the enumeration of higher order magic squares is still an open challenge. The enumeration of most-perfect magic squares of any order was only accomplished in the late 20th century.

Magic squares have a long history, dating back to at least 190 BCE in China. At various times they have acquired occult or mythical significance, and have appeared as symbols in works of art. In modern times they have been generalized a number of ways, including using extra or different constraints, multiplying instead of adding cells, using alternate shapes or more than two dimensions, and replacing numbers with shapes and addition with geometric operations.

The sum area of shaded region​ is \(\frac{1}{3}\).

The formula to find the sum of infinite geometric progression is

\(S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1\)

Given

S = \(\frac{1}{4} +\frac{1}{16} +\frac{1}{64} +.........\)

Using geometric progression

S = \(\lim_{h \to \infty} [\frac{1}{4} +(\frac{1}{4} )^{2} +(\frac{1}{4} )^{3} +.........+(\frac{1}{4} )^{n}]\)

Using summation formula for geometric progression

\(S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1\)

= \(\lim_{h \to \infty} \frac{\frac{1}{4} (1-(\frac{1}{4} )^{n} }{1-\frac{1}{4} }\)

= \(\lim_{h \to \infty} \frac{\frac{1}{4} (1-\frac{1}{4^{n} }) }{\frac{3}{4} }\)

= \(\lim_{h\to \infty} \frac{1}{3}(1-\frac{1}{4^{n} } )\)

\(\lim_{h\to \infty} \frac{1}{4^{n} }\) = 0

S  = \(\frac{1}{3}(1-0) = \frac{1}{3}\)

The sum area of shaded region​ is \(\frac{1}{3}\).

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The diameter of Cl atom has been 25,000 times larger than the diameter of the Cl nucleus.

To calculate the relationship between the diameter of Cl atom and nucleus, the diameter has to be calculated.

Diameter = 2 × radius

Diameter of Cl atom:

Cl atom = 2 × 100 pm

Cl atom = 200pm

1 pm = 10⁻¹²m

200 pm = 200×10⁻¹²m

Diameter of Cl nucleus:

Cl nucleus = 2 × 4 fm

Cl nucleus = 8 fm

1 fm  = 10⁻¹⁵m

8 fm  =8× 10⁻¹⁵m

The relationship between the Cl atom and the nucleus has been made by taking the ratio of the diameter of the Cl atom to the Cl nucleus.

Diameter of Cl atom/Diameter of Cl nucleus = 200×10⁻¹²/8×10⁻¹⁵

Diameter of Cl atom = 25000 Diameter of Cl nucleus.

Thus, the diameter of Cl atom has been 25,000 times larger than the diameter of the Cl nucleus.

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The radius of a Cl nucleus is 4.0 fm, and the radius of a Cl atom is 100 pm. (1 fm = 1x 10-15 m; 1 pm = 1 x 10-12 m).How many times larger is the diameter of the Chlorine atom than the diameter of the Chlorine nucleus?

Of the following, examples of an independent agency is securities and exchange commission.

Independent agencies are agencies of the United States federal government that exist outside the federal executive departments and the Executive Office of the President. The term refers to independent agencies that are considered part of the executive branch but have regulatory or rulemaking authority assigned by the Congress and are separated from presidential control as the president's power to dismiss the agency head or a member is limited. The Securities and Exchange Commission (SEC) is an independent agency which was established to protect investors who buy stocks and bonds with the powers to prevent or punish fraud in the sale of securities and is authorized to regulate stock exchanges.

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Answer: -10 and 68

Step-by-step explanation:

We have the numbers, ordered from least to greatest:

11, 26, 29, 31, 43, 44, 47 and x.

The range is equal to the difference between the largest number and the smallest number, so, x can take two values.

The smallest number:

here we have that:

47 - x = 57

x = 47 - 57 = -10

The other possibility is that x is the largest number, in this case, we have that:

x - 11 = 57

x = 57 + 11 = 68.

Then the two possibla values of x are -10 and 68

Answer:

(2x+1)(x-3)

x=-1/2,x=3

Step-by-step explanation:

Depends what method you use but I would do...

-3*2=-6

-6x+1x

-6x/2=x-3 and 1x/2= 2x+1

(2x+1)(x-3)

Now solve by equalling it to 0

2x+1=0

2x/2=-1/2

x=-1/2

x-3=0

x=3

Answer:

The store A cost is $2.00 higher than store B

Step-by-step explanation:

There are two stores which sells CDs in packages. The store A has cost slightly higher than store B due to its transportation cost. Store A cost is higher so it has to charge higher selling price from its customers. Store B is able to sell CD packages at $2.00 lesser than store A.

Answer:

Step-by-step explanation:

find the two points and do "rise over run" to fins the slope.

the y-intercept is the point on the y-axis

(0, 3) and (-5, 5)

slope is 2/5

y-intercept is 3

y = 2/5x + 3

Answer:

r = 7

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

Given:

V = 2000

h = 13

Work:

V = πr²h

r² = V/(πh)

r² = 2000/(3.14 * 13)

r² = 2000/40.82

r² ≈ 49

\(\sqrt{r^2} =\sqrt{49}\)

r = 7

Answer:

-I have attached a photo-

Step-by-step explanation:

\(\frac{2}{3}\) would have been the slope and 1 would be the y-intercept.  

Answer:

ummmm I like your picture

\(|\Omega|=5!=120\\|A|=3!=6\\\\P(A)=\dfrac{6}{120}=\dfrac{1}{20}=0.05\)

The area of the region bounded by the curves y = 5/x and y = 5/x^2, and the vertical line x = 3 is approximately 7.385 square units.

To find the area of the region bounded by the curves, we need to first determine the points of intersection between them.

Setting the two given functions equal to each other, we have

5/x = 5/x^2

Multiplying both sides by x^2, we get

5x = 5

Solving for x, we get

x = 1

So the curves intersect at x = 1.

Next, we need to determine the limits of integration. The region is bounded by the vertical line x = 3, so we integrate from x = 1 to x = 3.

The area is given by

A = \(\int\limits^3_1\) [(5/x) - (5/x^2)] dx

Using the power rule of integration, we get:

A = [5ln(3) + (5/3)] - [5ln(1) + (5/1)]

Simplifying, we get

A = 5ln(3) + (10/3)

A = 7.385 square units

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The 95% confidence interval for the population mean SAT score is given as follows:

(1340, 1460).

The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.

The bounds are obtained according to the equation defined as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

\(\overline{x} = 1400, n = 64, s = 240\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.

Then the lower bound of the interval is of:

1400 - 1.998 x 240/sqrt(64) = 1340.

The upper bound of the interval is of:

1400 + 1.998 x 240/sqrt(64) = 1460.

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For the given problem:

Let the number = x

Two less than the quotient of a number and 8 is 1/4

so, we can write the following expression:

Now, solve the equation to find (x)

Multiplying by (8) to eliminate the denominators:

Add (6) to both sides:

So, the answer will be the number is 18

Answer: 300

Step-by-step explanation:

From the question, we are informed that Mr Gaines is catering his company picnic and that he will pay $18.45 for 3 people to eat the barbecue lunch. This means each person spends:

= $18.45/3

= $6.15

With a budget of $1850.00, the number of people that he'll be able to feed will be:

= $1850/$6.15

= $300 people

Answer:10

Step-by-step explanation:

Using the distributive Property method.