The difference between two numbers is 3 and their sum is 7. Find the numbers

Answer:

I believe the answer is $70

Step-by-step explanation:

I used the formula

x= 0.6x + $28

x= the original price

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

The  variable x represent the length of rectangle.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter= 64 units

let the length be x.

So, width = x - 3

So, Perimeter of rectangle = 2 ( l + w)

64 = 2( x+ x -3)

32 = 2x -3

29= 2x

x= 29/2

Hence, the variable x represent the length of rectangle.

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Answer:

Step-by-step explanation:

Answer:many

Step-by-step explanation:manymulti- a combining form meaning “many,” “much,” “multiple,” “many times,” “more than one,” “more than two,” “composed of many like parts,” “in many respects,” used in the formation of compound words: multiply; multivitamin.

-4.5,1.5),(0,-2),(-1.2,0)

The answer of the given question based on right angle triangle is

∠H = 53.13° , and ∠J ≈ 66.42°.

Trigonometric ratios are ratios of  lengths of sides of right triangle. They are used to relate the angles of the triangle to the lengths of its sides. The three primary trigonometric ratios are sine, cosine, and tangent, often abbreviated as sin, cos, and tan, respectively.

The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse, the cosine of an angle is ratio of the length of adjacent side to length of the hypotenuse, and tangent of an angle is ratio of the length of opposite side to the length of adjacent side.

To find ∠H and ∠J, we can use the trigonometric ratios sine, cosine, and tangent.

Let's start with ∠H:

sin(∠H) = opposite/hypotenuse = IH/HJ = 12/13

∠H = sin⁻¹(12/13) ≈ 53.13°

Now let's find ∠J:

cos(∠J) = adjacent/hypotenuse = IJ/HJ = 5/13

∠J = cos⁻¹(5/13) ≈ 66.42°

Therefore, ∠H ≈ 53.13° and ∠J ≈ 66.42°.

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Answer:

y = 0

Step-by-step explanation:

the 2 points (- 1, 0 ) and (0, 0 ) both have the same y- coordinate.

this indicates the line is horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

both points have a y- coordinate of 0 , then

y = 0 ← equation of line

Answer:

Below.

Step-by-step explanation:

4^(x+2)+4^(x+1)+4^x

= 4^x*4^2 + 4^x*4 + 4^4

= 4^x(16 + 4 + 1)

= 21*4^x.

As 21 is divisible by 7, 21*4^x is also divisible by 7  for all positive integers of x.

Thus the original expression must be also divisible by 7  for all positive integers of x.

The length of the unknown aside from the triangle is (A) 7 inches.

Distance is measured in length.

The length has the dimension of distance in the International System of Quantities.

The majority of measurement systems choose a base unit for length from which all other units are derived.

The meter serves as the foundational unit of length in the International System of Units.

The distance separating an object's ends is its length.

The longest dimension is this one.

The width of an object is the separation between its two sides.

The shortest dimension is this one.

So, given that it is a right triangle and that two of its sides are congruent, the triangle is isosceles.

The sides of an isosceles triangle have the pattern (1, 1, 2).

Declaring that each of the legs (the 1) is five:

5 x √2 = 5√2

5√2, or 7.07

Rounding off: 7 inches

Therefore, the length of the unknown aside from the triangle is (A) 7 inches.

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Correct question:

Find the length of the unknown side. Round your answer to the nearest whole number.

Image of a right triangle with legs labeled 5 inches each and hypotenuse unknown.

a. 7 inches

b. 10 inches

c. 25 inches

d. 50 inches

Answer:

-----------------------

The average price Jaffar paid for the 5 books is $17.

To find the total cost of the 5 books, we multiply the average price by the number of books:

Now, we'll add up the prices of the first four books:

Finally, we'll subtract the sum of the first four books from the total cost to find the price of the fifth book:

So, Jaffar paid $18 for the fifth book.

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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Answer:

none of them equals 0.00007

unless a is 7 times 10 to the minus 5 power then the answer is a

Step-by-step explanation:

a=65 for 7 times 10 minus 5 unless the equation is 7 times 10 to the -5 power then the answer is a

b=70 for 7 times 10

c=700000000000 for 7 times 10 to the 11th power

d=0.007 for 7 percent times 10 percent

Answer:

the answer is d

Step-by-step explanation:

i did the quiz

(a) Sample size: Increasing the sample size decreases the variance of the OLS estimator. (b) Variation in X: Greater variation in X leads to higher variance in the OLS estimator.

(a) Sample Size: Increasing the sample size tends to reduce the variance of the Ordinary Least Squares (OLS) estimator. As the sample size grows larger, the estimator becomes more precise and better captures the true underlying relationship between the variables. With more observations, the OLS estimator tends to average out random errors, leading to a decrease in variance. However, if there are influential outliers or systematic biases present in the data, increasing the sample size may not necessarily result in a significant reduction in the variance.

(b) Variation in X: The variance of the OLS estimator is influenced by the variation in the independent variable (X). When there is greater variation in X, the OLS estimator tends to have higher variance. This occurs because a wider range of X values can lead to a wider range of predicted Y values, resulting in larger deviations from the true regression line. In contrast, if there is less variation in X, the OLS estimator will have lower variance as the predicted Y values will be more tightly clustered around the regression line. Therefore, an increase in the variation of X tends to increase the variance of the OLS estimator.

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If you are looking for the expression, that would be (x+4)/3

Answer:

\(\frac{x + 4}{3}\)

Step-by-step explanation:

First Chunk:

x and 4

Second Chunk:

All divided by 3

The first chunk (part) says "x and four".

That means x + 4

The second part says that everything is divided by 3. That means that x + 4 is divided by 3.

Therefore, the answer is (x+4)/3. Hope this helped!

Answer:

-8g + 16 + 12t

Step-by-step explanation:

multiply 4 with -2g

multiply 4 with 4

multiply 4 with -3t

Hey there!

x^2 + 4x = 12

SUBTRACT 12 to BOTH SIDES

x^2 + 4x - 12 = 12 - 12

SIMPLIFY IT

x^2 + 4x - 12 = 0

FACTOR the LEFT SIDE of your EQUATION

(x - 2)(x + 6) = 0

• EQUATION #1: x - 2 = 0

OR

• EQUATION #2: x + 6 = 0

SIMPLIFY IT

• EQUATION #1 answer: x = 2

OR

• EQUATION #2 answer: x = -6

OVERALL ANSWER: x = 2 or x = -6

YOUR ANSWER: x = 2 (Option A.)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The breadth of the rectangle is 6 cm.

To find the breadth, we can use the formula for the perimeter of a rectangle:

Perimeter = 2 × (length + breadth)

Substituting the given values, we get:

18 cm = 2 × (3 cm + breadth)

Simplifying the right side of the equation, we get:

18 cm = 6 cm + 2 × breadth

Subtracting 6 cm from both sides of the equation, we get:

12 cm = 2 × breadth

Dividing both sides by 2, we get:

breadth = 6 cm

Therefore, the breadth of the rectangle is 6 cm.

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Answer:

gradient = 4

Step-by-step explanation:

Calculate the gradient using the slope formula

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

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)

m = \(\frac{14-2}{3-0}\) = \(\frac{12}{3}\) = 4

Answer:

y= -3x

Step-by-step explanation:

the equation is " y = (slope)x + (y-intercept) " hope this helps !!

The total number of milligrams of sodium recommended for a 2000-calorie diet is 2429 mg.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that can be evaluated to obtain a value.

If one serving of toasted corn kernels contains 170 milligrams of sodium and it represents 7% of the daily value, we can calculate the recommended daily value as follows:

Let X be the total number of milligrams of sodium recommended for a 2000-calorie diet.

7% of X = 170 mg

0.07X = 170 mg

X = 170 mg / 0.07

X = 2428.57 mg

The total number of milligrams of sodium recommended for a 2000-calorie diet is 2429 mg.

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Answer:

40 π ft or 125.6ft

Step-by-step explanation:

If the sprinkler can spray water 20 ft, that means the radius is 20 ft and to get the circumference we do 2 r π

or 2r*3.14

The answer is either 40 π ft

or 125.6ft

Answer:

There are 1,000 mL in a L

Step-by-step explanation:

All the other answers are wrong

Answer:

true

Step-by-step explanation:

This is the potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y'.

The potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y' is \frac{y^2}{2}+6x^2y-2xy.

To find the potential function, we need to integrate the first term with respect to y and the second term with respect to x. This gives us:

\int\frac{y}{x}dy = \frac{y^2}{2}+C_1

\int 6xy dx = 3x^2y+C_2

We can then combine these two integrals to get the potential function:

\frac{y^2}{2}+3x^2y+C_1+C_2

Since we are looking for a potential function, we can ignore the constants and just focus on the terms with variables. This gives us:

\frac{y^2}{2}+3x^2y

We can also simplify this by factoring out a y:

y(\frac{y}{2}+3x^2)

This is the potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y'.

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Answer:

the answer is 17

Answer:

12

Step-by-step explanation:

2+3+7=

5+7=12

The water where the submarine reaches the bottom is approximately 212.43 meters deep.

To determine the depth of the water where the submarine reaches the bottom, we can use trigonometry.

The angle of depression of 13° tells us that the submarine is diving at an angle below the horizontal line.

The distance traveled diagonally, which is 890 meters, represents the hypotenuse of a right triangle.

Using trigonometric functions, we can find the length of the adjacent side, which represents the depth of the water.

In this case, we can use the tangent function:

tan(13°) = opposite/adjacent

We know the opposite side is the depth we're trying to find, and the adjacent side is the distance traveled diagonally.

Solving for the depth:

\(depth = 890 \times tan(13) \approx 212.43 meters\).

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To determine whether the series ∑(n=1 to infinity) 7n/n is convergent or divergent, we can apply the ratio test. The ratio test helps us determine the convergence or divergence of a series by examining the limit of the ratio of consecutive terms.

In this case, let's calculate the ratio of consecutive terms using the formula for the ratio test:

lim(n→∞) |(7(n+1)/(n+1))/((7n/n)|

Simplifying the expression, we get:

lim(n→∞) |7(n+1)/n|

As n approaches infinity, the limit evaluates to:

lim(n→∞) |7(n+1)/n| = 7

Since the limit is a finite positive value (7), which is less than 1, the ratio test tells us that the series is convergent.

However, you mentioned identifying an (term) in the series, and it seems there may be an incomplete part of the question. Please provide additional information or clarification about identifying an term in the series so that I can provide a more specific answer.

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