Find the sum: (x + 3) + (4x - 1)

5x - 4

5x + 2

x - 4

9x
please answer fast i need help soon

The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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The check register is used to show the total amount Taquan spent

Using the assumed values, Taquan's initial balance is $1336.26

The question is incomplete, as the check register is not shown.

So, I will give a general explanation

Assume that the utility bill is $241.46

From the question, the new balance on March 24 is $1094.80

This means that the initial balance is:

Initial balance = New balance + Utility bill

This gives

Initial balance = $1094.80 + $241.46

Evaluate the sum

Initial balance = $1336.26

Using the assumed values, Taquan's initial balance is $1336.26

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Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

f has a greater y-intercept than g: False

f has a greater x-intercept than g: True.

f has a greater slope than g: False.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First, we would find the slope of line g;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-3 + 15)/(1 - 3)

Slope (m) = 12/2

Slope (m) = 6.

At data point (1, 9) and a slope of 6, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 9 = 6(x - 1)

y = 6x + 3

Slope of g is 6 while the slope of f is 4, thus, g has a greater slope.

For the x-intercept, we have:

0 = 6x + 3

-3 = 6x

x = -0.5

f(x) = 4x - 1

0 = 4x - 1

1 = 4x

x = 0.25

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Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

9514 1404 393

Answer:

Step-by-step explanation:

It appears term n is the square of the digit 7 prepended with (n-1) sixes. That square is n instances of the digit 4, followed by (n-1) instances of the digit 8, followed by the digit 9.

Then the 5th line of the pattern will be ...

  66667^2 = 4444488889

__

The 7th line of the pattern will be ...

  6666667^2 = 44444448888889

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

\(3 \times 18 + 3 + 4 \div ( 4 - 2)\)

\(= 54 + 3 + \frac{4}{4 - 2}\)

\(= 57 + \frac{4}{4 - 2}\)

\(= 57 + \frac{4}{2}\)

\(= 57 + 2\)

\(= 59\)

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer:

69

Step-by-step explanation:

3 ×{18 +[3 +4 :(4 - 2)]}

3 ×[18 +(3 +4 :2)]

3 ×[18 +(3 +2)]

3 ×(18 +5)

3 ×23

69

Answer:

1/8

Step-by-step explanation:

The second option is the answer

Answer:

13 hours

Step-by-step explanation:

Given that Daniel will incur the following costs:

Transportation : $310

Food : $275

Hotel : $70 per night for 6 nights = $70 x 6 = $420

his total cost  = $ (310 + 275 + 420) = $1005

it is given that he has $745 in savings: If he uses all his savings, it will reduce his total cost balance to $1005 - $745 = $260

hence he needs to make up the remaining $260 by tutoring for $20 per hour

number of hours to make up the $260

= $260 ÷ $20/hr

= 13 hours

The equation of the normal line to the curve x^2y^2 = 4 at the point (-1,-2) is y = x - 1.

To find the tangent line and normal line to the curve x^2y^2 = 4 at the point (-1,-2), we need to determine the derivative of the curve equation with respect to x and evaluate it at the given point.

First, let's differentiate the equation x^2y^2 = 4 implicitly with respect to x using the chain rule:

2x * (y^2) + 2y * (2xy * dy/dx) = 0

Simplifying the equation, we have:

2xy^2 + 4xy(dy/dx) = 0

Now, let's find the value of dy/dx at the point (-1,-2). Substitute x = -1 and y = -2 into the equation:

2*(-1)(-2)^2 + 4(-1)*(-2)(dy/dx) = 0

Simplifying further:

8 + 8(dy/dx) = 0

8(dy/dx) = -8

dy/dx = -1

We have found the derivative dy/dx at the point (-1,-2), which is -1. This represents the slope of the tangent line to the curve at that point.

Using the point-slope form of a line, we can write the equation of the tangent line as:

y - y₁ = m(x - x₁)

Substituting the values of (-1,-2) and dy/dx = -1 into the equation, we have:

y - (-2) = -1(x - (-1))

y + 2 = -1(x + 1)

y + 2 = -x - 1

y = -x - 3

Therefore, the equation of the tangent line to the curve x^2y^2 = 4 at the point (-1,-2) is y = -x - 3.

To find the normal line, we know that the slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal line is 1.

Using the point-slope form of a line again, we can write the equation of the normal line as:

y - y₁ = m'(x - x₁)

Substituting the values of (-1,-2) and m' = 1 into the equation, we have:

y - (-2) = 1(x - (-1))

y + 2 = x + 1

y = x - 1

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Let's solve this problem step by step:

1. If a quadratic equation is a function of x:

    ⇒ as in \(y=ax^2+bx+c\)

       ⇒ then the function must be pointing upwards or downwards

  If a quadratic function is a function of y:

    ⇒ as in \(x=ay^2+by+c\)

       ⇒ then the function must be pointing left or right

2. If the coefficient of the highest power is negative

     ⇒ the function must be pointing down

   If the coefficient of the highest power is positive

     ⇒ the function must be pointing up

Answer: downward

Hope that helps!

To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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Answer:

The answer is 55.

m=55

Step-by-step explanation:

we know that a straight line is 180
We know that m+125 is a straight line.
This means that we will subtract 125 from 180
When you do that, you get 55.

We can check our answer by doing 125+55
That will get you 180.

She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The rational expression is given in the question as:

\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)

Divide the leading term of the dividend by the leading term of the divisor:

\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)

Write down the calculated result in the upper part of the table.

Multiply it by the divisor

\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

Thus, Jason made a mistake in multiplying 2x²+1 by -2x².

Hence, the correct answer would be option (B).

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Hope this helps you solve your math problem.

The required value of x in the right-angle triangle is 13.16.

Given that,
In right angle triangle ABC
AB = perpendicular = x ft
Angle C = 47 °
AC = hypotenuse  = 18 ft

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

Here, in the right triangle ABC
sinx = perpendicular  / hypotenuse

sin( 47° ) = AB / AC
0.73 = x / 18
x = 18 * 0.73
x = 13.16

Thus, the required value of x in the right-angle triangle is 13.16.

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Answer:

t ≤ -3

Step-by-step explanation:

4t + 5 ≤ -7

4t ≤ -12

t ≤ -3

Answer:

257.14 calories (about 260)

Step-by-step explanation:

To solve this problem, we can use proportions.

If a 28 g serving of almonds has 160 calories, then:

28 g / 160 calories = 45 g / x calories

where x is the number of calories in a 45 g serving of almonds.

We can cross-multiply and solve for x:

28 g * x = 160 calories * 45 g

x = (160 calories * 45 g) / 28 g

x = 257.14 calories

Therefore, a 45 g serving of almonds has 257.14 calories (rounded to two decimal places).

Answer:

- 0.125

Step-by-step explanation:

Given the equation :

(0.020(5/4) + 3 ((1/5) – (1/4)))

0.020(5/4) = 0.025

3((1/5) - (1/4)) = 3(1/5 - 1/4) = 3(-0.05) = - 0.15

0.025 + - 0.15 = 0.025 - 0.15 = - 0.125

The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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Answer:

7/3

Step-by-step explanation:

If I solved it correctly, you use  y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!

Answer:

These are two linear equations with two unknowns, P (price of pants) and S (price of socks). You can solve them by using either substitution or elimination methods.

Let's use the elimination method.

First, let's subtract the second equation from the first:

1P + 2S - (1P + 3S) = 60 - 75

After simplifying this, we get:

-1S = -15

Dividing both sides by -1, we find:

S = 15

Now, we can substitute S = 15 into the first equation to find the price of pants (P):

1P + 2(15) = 60

1P + 30 = 60

Subtract 30 from both sides to get:

1P = 60 - 30

1P = 30

So, the price of one pair of pants (P) is $30.

Evaluating the piecewise function we will get:

g(-1) = -2

g(2) = 0

g(3) = 1/2

To evaluate the piecewise function we need to use the correct part depending on the domains.

g(-1), here x = -1, then we need to use the second part of the function:

g(-1) = -(-1 - 1)² + 2 = -4 + 2 = -2

For the second one x = 2, we use the last part:

g(2) = (1/2)*2 - 1 = 0

For the last one, we have x = 3, again we need to use the last part:

g(3) = (1/2)*3 - 1 = 3/2 - 2/2 = 1/2

These are the 3 values.

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The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

The unit rate for calories per cup is 124 and 248 calories are there in 2 cups of the cereal.

Let the calories per cup of cereal = x

According to the question,

Calories in 3/4th serving of a cup of cereal = 93

Therefore, x*(3/4) = 93

                          x = 93*(4/3)

                          x = 31*4

                          x = 124

Calories per cup of cereal = 124

Calories in 2 cups of cereal = 124*2

                                              = 248

Hence, calories per cup of cereal i.e. unit rate for calories per cup of cereal is 124 and 248 calories are there in 2 cups of cereal.

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Answer:

=82

Step-by-step explanation:

the value of

x + y²

putting x=1,y=9

we get,

1+(9)^²

=1+81

=82

The requried value of x that satisfies the problem is 4.5,

Let's start by finding the side length of the square tabletop, which is equal to the square root of its area. We have:

Area = 9x² - 30x + 25

Side length = √(Area) = √(9x² - 30x + 25)

To find x, we need to use the fact that the perimeter of the table top is 34 feet. The perimeter of a square is given by 4 times the length of one of its sides, so we can write:

Perimeter = 4 * Side length

34 = 4 * √(9x² - 30x + 25)

8.5 = √(9x² - 30x + 25)

9x² - 30x - 47.25 = 0

We can solve this quadratic equation by using the quadratic formula gives,

x = 4.5 and -1.16

Therefore, the value of x that satisfies the problem is approximately 4.5, since the other solution is negative and not meaningful in this context.

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3.03 is the standard deviation of the given set.

To calculate the standard deviation, we need to follow these steps:

Calculate the deviation of each data point from the mean by subtracting the mean from each data point.

Deviations: -3, -4, 1, 2, 4

Square each deviation.

Squared deviations: 9, 16, 1, 4, 16

Calculate the mean of the squared deviations. This is also known as the variance.

Variance: (9 + 16 + 1 + 4 + 16) / 5 = 46 / 5 = 9.2

Take the square root of the variance to find the standard deviation.

Standard deviation: √9.2 ≈ 3.03

Therefore, the standard deviation of the given data set is approximately 3.03.

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