6. Solve for a: 3a – 5(a - 2) = 34
1. a = 1
2. a = -12
3. a = -22
4. a = 0​

Answer:

The table of values would be:

(-2,4/3)

(-1,1/3)

(0,0)

(1,1/3)

(2,4/3)

The domain is all real numbers from negative infinity to positive infinity.

The range is all real positive numbers including 0.

The graph is below :)

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Answer:

\(2m=45\)

Step-by-step explanation:

He earned twice as much washing cars, which is \(2m\). This is given to be equal to 45.

Answer:

I think it is 60°

Step-by-step explanation:

b/c angle of triangle is 180° and when we divide 180° by 3 it will be 60°

Answer:

11x=1

Step-by-step explanation:

15x+4=5+3x+1x       Bring everything with an x in front of it to the left side

15x-3x-1x+4=5         Simplify the x values

11x+4=5                    Bring the 4 to the right side

11x=5-4

11x=1

To solve this problem, we can use the principle of inclusion-exclusion.

First, let's find the total number of ways to select n students from a class of 5n:

Total ways = (5n choose n) = (5n)! / (n!*(5n-n)!) = (5n)! / (n!*(4n)!)

Answer:

You can buy atleast 5 chicken sandwiches! (12 / 2.25 is 5.33333 (repeating))

Answer:

5

Step-by-step explanation:

2.25x=12

x=12/2.25=5.33

so its 5

The first molecule will have a ZERO dipole moment since all the F atoms are at 120 degree making the net dipole zero.

A molecule is a group of two or more atoms held together by chemical bonds; depending on the context, the term may or may not include ions that meet this criterion.

A molecule is a particle composed of two or more atoms that are chemically bonded together; the number of atomic nuclei constituting a molecule is fixed. HCl(g), for example, is a molecule composed of one hydrogen atom bonded to one chlorine atom. It is a diatomic molecule because it is composed of two atoms.

The second molecule will have a NON ZERO dipole moment. The net dipole moment will be downwards. The third molecule will have a NON ZERO dipole moment.

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The rounded off form of the number 836534 into 2 Significantly digits as required is; 840000.

It follows from the task content that the number 836534 is to be rounded into 2 significant digits as required.

On this note, since the given number is; 836534.

The 2 greatest place value digits are 8 and 3. Hence, the third digit is considered to round the number off.

Since the third digit is 6, it is rounded to 1 and added to 3 so that the rounded off form of the given number to 2 SD is; 840000.

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Rounding off 836534 into 2 significant fiqure will give us  840000.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.

Round up if the number you're rounding has a 5, 6, 7, 8, or 9. For instance, 30 is equal to 28, rounded to the nearest tens place. Round down if the number you are rounding has a 0, 1, 2, 3, or 4 after it. For instance, 10 is the result of rounding 13 to the nearest ten.

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Answer:

2023

Step-by-step explanation:

3 + 4x = y

y = 3 + 4(505)

y = 3 + 2020

y = 2023

Answer:

Equilateral triangle

Step-by-step explanation:

All the three sides are equal.So, it is equilateral triangle

The height above the ground after rotating through an angle of \($\frac{25\pi}{6}$\)radians on the Ferris wheel is \(5\cos(\frac{25\pi}{6})$ feet.\)

To find the height above the ground after rotating through an angle of \($\frac{25\pi}{6}$\) radians on the Ferris wheel, we can use the cosine function.

Let \($h$\) be the height above the ground. The horizontal distance from the center of the wheel to your seat can be calculated using the formula for the circumference of a circle:

\($C = 2\pi r$\)

where \($r$\) is the radius of the wheel. In this case, \($r = 30$\) feet, so the circumference is:

\(C = 2\pi \times 30 = 60\pi$ feet\)

Since you have rotated through an angle of \($\frac{25\pi}{6}$\) radians, the fraction of the circumference you have traveled is:

\($\frac{\frac{25\pi}{6}}{2\pi} = \frac{25}{12}$\)

The horizontal distance you have traveled is then:

\(\frac{25}{12} \times 60\pi = \frac{25}{12} \times 60 \times \pi = \frac{25}{2}\pi$ feet\)

Using the cosine function, we can find the height above the ground:

\($\cos(\frac{25\pi}{6}) = \frac{h}{5}$\)

Simplifying, we have:

\($h = 5\cos(\frac{25\pi}{6})$\)

Therefore, the height above the ground after rotating through an angle of \($\frac{25\pi}{6}$\) radians is \(5\cos(\frac{25\pi}{6})$ feet\).

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Answer:

387.50.

Step-by-step explanation:

Answer:

c=3

Step-by-step explanation:

The equation that represents the relationship between the number of square feet painted (y) and the number of gallons of paint used (x) can be expressed as follows:

\(\displaystyle\sf y = kx\),

where \(\displaystyle\sf k\) represents the constant of proportionality.

In this specific scenario, MaryAnne painted 600 square feet of wall space using 1 1/2 gallons of paint. To find the value of \(\displaystyle\sf k\), we can substitute the given values into the equation:

\(\displaystyle\sf 600 = k \cdot \left( \frac{3}{2} \right)\).

To solve for \(\displaystyle\sf k\), we can multiply both sides of the equation by \(\displaystyle\sf \frac{2}{3}\):

\(\displaystyle\sf \frac{2}{3} \cdot 600 = k\),

\(\displaystyle\sf k = 400\).

Therefore, the equation representing the relationship between the number of square feet painted (y) and the number of gallons of paint used (x) is:

\(\displaystyle\sf y = 400x\).

its a 1/7 chance

that it will get a it

Carbohydrates are(a) ½ cup Cooked Oatmeal (15 gm CHO), 1 ¼ cup Whole Strawberries (15 gm CHO), 8 oz Fat-Free Milk (12 gm CHO) = 42 gm CHO.(b). 2 Slices Bread (30 gm CHO), 3 oz Turkey (0 gm), 1 Tbs Mayonnaise (0 gm), 1 cup Raw Celery (5 gm CHO), 1 Kiwi (15 gm CHO) = 50 gm CHO.(c). 1 cup Mashed Potatoes (30 gm CHO), ½ cup Corn (15 gm CHO), 4 oz Roast Beef (0 gm), 1 cup Cooked Broccoli (5 gm CHO) = 50 gm CHO.

In the given meals:

a. The total carbohydrates in ½ cup cooked oatmeal is 15 gm CHO, 1 ¼ cup whole strawberries contains 15 gm CHO, and 8 oz fat-free milk has 12 gm CHO. Adding them together, the total carbohydrates in the meal are 42 gm CHO.

b. The two slices of bread contribute 30 gm CHO, 1 cup of raw celery provides 5 gm CHO, and 1 kiwi contains 15 gm CHO. The turkey and mayonnaise do not contribute any carbohydrates. Combining these, the total carbohydrates in the meal are 50 gm CHO.

c. The mashed potatoes contribute 30 gm CHO, ½ cup corn contains 15 gm CHO, and 1 cup cooked broccoli provides 5 gm CHO. The roast beef does not contain any carbohydrates. Adding them together, the total carbohydrates in the meal are 50 gm CHO.

These calculations provide an estimation of the carbohydrate content in the given meals. It's important to note that individual nutritional content may vary depending on specific brands, preparation methods, and portion sizes. For precise meal planning and dietary advice, consulting a healthcare professional or registered dietitian is recommended.

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Answer:

B and C

Step-by-step explanation:

Answer:Having some trouble with this percentage word problem: The average attendance at Parma football club fell by 7% in 2015. If 2030 fewer people went to matches in 2015

Step-by-step explanation:

Hello !

Answer:

\(\Large\boxed{\sf Slope\ =0}\)

Step-by-step explanation:

Considering two points \(\sf A(x_A, y_A)\) and \(\sf B(x_B, y_B)\), the slope of the line that passes through A and B is given by \(\sf m=\frac{y_B-y_A}{x_B-x_A}\).

Given :

Now we can calculate the slope with the previous formula :

\(\sf m=\frac{-3-(-3)}{4-(-2)}\)

\(\sf m=\frac{0}{6}\)

\(\boxed{\sf m=0}\)

The slope of the line is 0.

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Have a nice day

To find the solution set for the inequality 2 - 3x > 17, we can start by solving for x:

2 - 3x > 17

3x < 15

x < 5

So, the solution set for the inequality is all values of x that are less than 5.

Of the options given, only the set C, x = -9, -8, -7, -6, contains only numbers that are less than 5. Therefore, the set of numbers that contains only solutions to the inequality is C, x = -9, -8, -7, -6.

The volume of Ganymede is approximately 3.48 times the volume of the Moon, based on the given diameters of the two moons and the formula for the volume of a sphere.

The volume of a sphere is the amount of space occupied by the sphere in three-dimensional space. It can be calculated using the formula V = (4/3)πr³, where V is the volume of the sphere, r is the radius of the sphere, and π (pi) is a mathematical constant approximately equal to 3.14159. This formula states that the volume of a sphere is four-thirds of the product of pi and the cube of the sphere's radius.

In the given question,

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. Since we are given the diameters of the two moons, we can calculate their radii by dividing the diameters by 2. Therefore, the radius of Ganymede is 3,388/2 = 1,694 km, and the radius of the Moon is 1,245/2 = 622.5 km.

Now, we can calculate the volumes of the two moons:

V_Ganymede = (4/3)π(1694)³ ≈ 7.66 x 10^10 km³

V_Moon = (4/3)π(622.5)³ ≈ 2.2 x 10^10 km³

To find how many times larger Ganymede's volume is compared to the Moon's volume, we can divide the volume of Ganymede by the volume of the Moon:

V_Ganymede / V_Moon ≈ (7.66 x 10¹⁰) / (2.2 x 10¹⁰) ≈ 3.48

Therefore, the volume of Ganymede is approximately 3.48 times the volume of the Moon.

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The solutions to these equations are x = 7 and x = -8, which represent the vertical asymptotes of the function.

To find the vertical asymptotes of the rational function f(x) = (x+3)(4x-4)/(x-7)(x+8), we set the denominators (x-7) and (x+8) equal to zero and solve for x. The vertical asymptotes of a rational function occur when the denominator becomes zero, resulting in an undefined value. In this case, the denominator consists of two factors: (x-7) and (x+8).

To find the values of x that make the denominators zero, we set each factor equal to zero and solve for x. Setting (x-7) = 0, we find x = 7, and setting (x+8) = 0, we find x = -8. These values indicate the vertical asymptotes of the function. When the value of x approaches 7 or -8, the function approaches infinity or negative infinity, respectively, creating a vertical line that the graph of the function cannot cross. Thus, the vertical asymptotes for the given function are x = 7 and x = -8.

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The solution of the equation a² = 25² - 7² will be 24.

Given that:

Equation, a² = 25² - 7²

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The solution of the equation is given as,

a² = 25² - 7²

a² = 625 - 49

a² = 576

a = 24

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B = 9

b = 7

A = 80

a = ?

Substitution

The height of the trapezoid is 10 cm

The description of the parts of the expression are

The expression is given as:

1/2(2a + 1)(a + 3)

The above expression has three factors and the factors are 1/2, 2a + 1 and a + 3

This means that the entire expression is the product of three factors

Also, we have:

2a + 1

The above expression is a sum expression, and the terms are 2a and 1

This means that on its own, (2a+1) is a sum with two terms

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Complete question

Consider the expression 1/2(2a + 1)(a + 3)

Complete 2 descriptions of the parts of the expression.

The entire expression is the product of

On its own, (2a+1) is a sum with

answer two terms and three factors have a good day friends!

Step-by-step explanation:

To summarize, a perfectly egalitarian society has a Gini index of 0, and a perfectly totalitarian society has a Gini index of 1.

The Gini index (G) measures how much the income distribution differs from absolute equality.

On the other hand, a perfectly totalitarian society (where a single person receives all the income) will have a Gini index of 1. This means that there is a huge inequality between individuals, with the single person receiving all of the income.

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Answer:

10/4 or 15/6

Step-by-step explanation: