Solve 4^x + 3 = 9 for x using the change of base formula log base b of y equals log y over log b. A)4.585 B)3.578 C)−1.415 D)−2.422

Answer:My guess is 185

Step-by-step explanation:

The equations for the regular cost is [tex]y=18.50 x[/tex] and

The equation for the party special is  [tex]y=15 x+28[/tex],

where y is the total cost in dollars and x is the number of students in the group.

Step-by-step explanation:

Step 1:

The regular cost per person is $18.50 per person.

So to calculate the total cost, all we need to do is multiply the number of students in the study group with the cost per person i.e. $18.50.

So the equation is [tex]y=18.50 x[/tex].

If x = 5, [tex]y=18.50(5)[/tex] = $92.50,

If x = 10, [tex]y=18.50(10)[/tex] = $185.00.

Step 2:

The party special costs $15 per person but has an additional fee of $28 for a private room where they can have lunch.

So to calculate the total cost we multiply the number of students in the group with the cost per person i.e. $15 and add it with the private room fee i.e. $15.

So the equation is [tex]y=15 x+28[/tex].

If x = 5, [tex]y=15 (5)+28[/tex] = $103.00

If x = 10, [tex]y=15 (10)+28[/tex] = $178.00.

Answer:

d=5

Step-by-step explanation:

Answer:

16 yd. is the answer. Good luck with the test.

Step-by-step explanation:

A=b×h÷2

80=10×y÷2

160=10×y

16=y

16 yd.

Answer:

he base length of triangle = 16 yd

Explanation:

he base length of triangle = 16 yd

Step-by-step explanation:

Formula:-

Area of triangle

area A = bh/2

b - base of triangle

h - height of triangle

To find the area of triangle

It is given that,A triangle has an area of 80 yd^2 and a height of 10 yd.

here, b = ?, A = 80 yd^2  and h = 10 yd

A = bh/2

80 = (b*10)/2

5b = 80

b = 80/5 = 16

Therefore the base length of triangle = 16 yd

Answer:

Option D

Step-by-step explanation:

A radical equation has only a radical itself, with an additional multiplier.

Answer:

7√x=14

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The x-intercept is the x-value when y=0, so we plug in y=0,

x=-2(0)+7

x=0+7

x=7

So the x-intercept is 7

Answer:

X intercept is 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

You travel 30 miles per (1) gallon!!!!! please give brainliest!!

Step-by-step explanation:

150/5=30

Answer:

The point is [tex](2,-5)[/tex]

Step-by-step explanation:

we have

[tex]y+5=3(x-2)[/tex]

This is the equation of the line written in point slope form

so

[tex]y-y1=m(x-x1)[/tex]

where

The slope is equal to

[tex]m=3[/tex]

The point (x1,y1) is

[tex](2,-5)[/tex]

therefore

The point is [tex](2,-5)[/tex]

Answer:

x = - 2, x = 8

Step-by-step explanation:

The absolute value function always returns a positive value, but the expression inside can be positive or negative, thus

x - 3 = 5 OR - (x - 3) = 5

Solving both equations

x - 3 = 5 ( add 3 to both sides )

x = 8

OR

- x + 3 = 5 ( subtract 3 from both sides )

- x = 2 ( multiply both sides by - 1 )

x = - 2

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are solutions.

x = 8

| 8 - 3 | = | 5 | = 5 = right side

x = - 2

| - 2 - 3 | = | - 5 | = 5 = right side

Thus the solutions are x = - 2, x = 8

The equation given is the same as x - 3 = 5 or -(x - 3) = 5

Steps to solve:

x - 3 = 5

x - 3 + 3 = 5 + 3

x = 8

Steps to solve:

-(x - 3) = 5

-x + 3 = 5

-x + 3 - 3 = 5 - 3

-x = 2

-x/-1 = 2/-1

x = -2

Therefore, the solutions are x = 8 and x = -2

Best of Luck!

Answer:

x=9

Step-by-step explanation:

1.5x - 6 = 7.5

       +6    + 6

1.5x = 13.5

1.5x divided by 13.5 then equals 9

Answer:

but what is the actual answer?

Step-by-step explanation:

Answer:

n = 5.4

Step-by-step explanation:

Equation:  4n = 21.6

To solve this equation for n, divide both sides by 4 to get n by itself.

Step 1:  Divide both sides by 4

4 * n / 4 = 21.6 / 4

n = 5.4

Answer:  n = 5.4

[tex]\large\text{Hey there!}[/tex]

[tex]\mathsf{4n=21.6}\\\mathsf{\bf{DIVIDE}}\mathsf{\ both\ sides\ by\ 4}\\\mathsf{\dfrac{4n}{4}=\dfrac{21.6}{4}}\\\mathsf{Cancel\ out: \dfrac{4n}{4}\ because\ it\ equals\ to\ 1}\\\mathsf{Keep: \dfrac{21.6}{6}\ because\ it\ gives\ you\ the\ value\ of\ your\ n}\\\mathsf{\dfrac{21.6}{4}=21.6\div4\rightarrow5.4}\\\\\\\boxed{\boxed{\bf{Answer: \boxed{\mathsf{\bf{\underline{\underline{n =5.4}}}}}}}}\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dag\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer: meters

Step-by-step explanation:

In the metric system, length is measured in meters, which is commonly used as millimeter, centimeter or decimeter.

I hope this helps

Answer: METERS AKA C

Step-by-step explanation:

Answer:

Is there a graph that we need to look at

Answer:

The equation of the line in the slope-intercept form is y = [tex]\frac{4}{3}[/tex] x + 4 ⇒ A

Step-by-step explanation:

The slope-intercept form is y = m x + b, where

The formula of the slope of a line which passes through points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

∵ The line passes through points (-6 , -4) and (0 , 4)

∴ [tex]x_{1}[/tex] = -6 and [tex]x_{2}[/tex] = 0

∴ [tex]y_{1}[/tex] = -4 and [tex]y_{2}[/tex] = 4

- Substitute them in the formula of the slope

∴ [tex]m=\frac{4--4}{0--6}=\frac{8}{6}[/tex]

- Simplify it by divide up and down by 2

∴ [tex]m=\frac{4}{3}[/tex]

∵ The slope-intercept form is y = m x + b

- Substitute the value of m on it

∴ y = [tex]\frac{4}{3}[/tex] x + b

∵ b is value y at x= 0

∵ At x = 0 , y = 4 ⇒ given point

∴ b = 4

- Substitute the value of b in the equation

∴ y = [tex]\frac{4}{3}[/tex] x + 4

The equation of the line in the slope-intercept form is y = [tex]\frac{4}{3}[/tex] x + 4

Option 2 is the correct option

Step-by-step explanation:

Step 1 :

Given expression :  (x + 12)(x - 12)

We need to find the expression from the given options which matches the given expression

Step 2 :

The given expression is of the form (a+b)(a-b)

where a = x and b = 12 here

The product of this is given by  formula

(a+b)(a-b) = (a² - b²)

Substituting the value of a and b in  formula we get

(x + 12)(x - 12) = x² - 12² = x² - 144

Hence option 2 is the correct option from the given list.

Step 3 :

Answer :

Option 2 is the option which matches the given expression

Answer:

144 and -144

Step-by-step explanation:

just did it

Answer:

x < 15.  

Step-by-step explanation:

Solving Inequalities Word Problems

Let X is the total pounds of potatoes that four families should buy

To purchase no more than 15, so they should buy 0< x < 15

Because four families are planning to make a joint purchase and we dont know their specific proportion  so we take x as the number on be haft.

Answer:

A=670

B=301,600

C=560

Step-by-step explanation:

A is K divided by the wavelength (m) 301,500 / 450

B is wavelength(m) multiplied by the Frequency (Thz) 520x580

C is K divided by the Frenquency (Thz) 302400 / 540

The value of a is 670, b is 301,600, and c is 560.

When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.

The table consists of data of wavelength, frequency and k, the product of wavelength and frequency.

The missing values of a, b, and c has to be determined.

The wavelength is in inverse relation to frequency, on increasing the wavelength, the frequency decreases.

Wavelength ∝ ( 1 / frequency)

Wavelength * Frequency = k

For determining a,

450 * a = 301500

a = 301500/450 = 670

a = 670

For determining b,

520 * 580 = b

b = 301600

For determining c,

c * 540 = 302400

c = 302400 / 540

c = 560

To know more about Inverse Variation

https://brainly.com/question/11592410

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Answer:

B

Step-by-step explanation:

15 more than A

A is the original answer so it should be the first digit.

The question asks "15 more" so it should be after the A

A+15

Answer:

R=5.26

Step-by-step explanation:

Answer:

graph A

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

I did the practice on edg

Answer:

No

Step-by-step explanation:

Bag 1:

P(red) = 1/4

Bag 2:

P(red) = 4/16 = 1/4

Same probability so equally likely

1. Simplify 2.1 * 1.8 to 3.78

-3.5 - 3.78

2. Simplify

-7.28

Answer: -7.28

Step-by-step explanation:

The measure of each base angle is 56°.

Step-by-step explanation:

base angle + base angle + 68° = 180°

2x + 68° = 180°

2x = 112°

x = 112/2

x = 56°

Therefore, the measure of each base angle is 56°.

The required measure of each base angle is equal to 56°.

It involves understanding the properties of an isosceles triangle, which is the key to solving the problem. In an isosceles triangle, if two sides are equal, the angles opposite those sides are also equal.

Given that Kay is drawing a triangle with two equal sides of 8 cm and the angle between these sides measures 68°, the triangle is isosceles, and we know that the other two angles (the base angles) are equal due to this property.

The sum of all angles in any triangle equals 180°. Therefore, to find the measure of each base angle, we subtract the given angle from 180° and then divide by 2 (since the base angles are equal):

The sum of angles in a triangle = 180°.

The measure of the angle between the two sides = 68°.

The sum of the two base angles = 180° - 68° = 112°.

Measure of each base angle = 112° / 2 = 56°.

Therefore, the measure of each base angle in Kay's triangle is 56°.

Answer:

infinitely many solutions

Step-by-step explanation:

1) distribute 9 to each term inside parenthesis on left side of equation

18x+90=2(9x+45)

2)now distribute 2

18x+90=18x+90

these equations are exactly the same! this means that this equation has infinitely many solutions

Hope this helps!

Answer:

infinite solutions

Step-by-step explanation:

9(2x + 10) = 2(9x+ 45)

Distribute

18x+90 = 18x +90

Subtract 18x from each side

18x-18x+90 = 18x-18x+90

90=90

Since this is always true, the equation has infinite solutions.

X can be any number

To find the missing number, you will need to divide the numbers you already have.

192 divided by 3 = 64

Your answer/length will be 64.

Area = 192

Width = 3

Length = 64

64 x 3 = 192

                                                                                Hope this helps :)

To determine the length of the rectangular piece of sheet metal with an area of 192 square centimeters and a given length-to-width ratio, solve for the width using the area formula, then use the ratio to find the length. The calculated length is 24 centimeters.

The problem involves finding the length of a rectangle given the area and the relationship between the length and width. Let's denote the width of the rectangle as w and the length as L. We are given that L = 3w and the area (A) of the rectangle is 192 square centimeters. The area of a rectangle is calculated by multiplying its length and width.

A = L x w

Substituting L from the given relationship into the area equation:

192 cm² = (3w) x w

Now we can solve for w:

192 cm² = 3w²

w² = 192 cm² / 3

w² = 64 cm²

w = 8 cm

Now, use the value of w to find L:

L = 3 x 8 cm

L = 24 cm

Therefore, the length of the rectangular piece of sheet metal is 24 centimeters.

Answer: I chose A and D but I'm not sure.

Answer:

The answers are A and D since A is the right equation and 89.3 is the right answer

Step-by-step explanation:

Answer:

1863 [tex]meters^{2}[/tex]

Step-by-step explanation:

( 23 x 12 ) x 2 = 552

69 x 19 = 1311

 1311

+552

= 1863 [tex]meters^{2}[/tex]

The area of the complex figure is 1,863 square meters

To find the area of the complex figure, break it down into individual rectangles and then sum up their areas. The complex figure consists of two smaller rectangles and one larger rectangle.

For the first two rectangles:

- Length = 23 m

- Width = 12 m

The area of each of the first two rectangles is:

Area = Length × Width = 23 m × 12 m = 276 square meters

Now, for the larger rectangle:

- Length = 69 m

- Width = 19 m

The area of the larger rectangle is:

Area = Length × Width = 69 m × 19 m = 1,311 square meters

To find the total area of the complex figure, sum up the areas of the three rectangles:

Total Area = Area of the first two rectangles + Area of the larger rectangle

Total Area = (276 square meters + 276 square meters) + 1,311 square meters

Total Area = 552 square meters + 1,311 square meters

Total Area = 1,863 square meters

So, the area of the complex figure is 1,863 square meters. This approach demonstrates how to find the area by breaking down the complex figure into simpler shapes and summing their individual areas.

For more such questions on complex figure:

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Step-by-step explanation:

[tex]14z = 224[/tex]

To solve for [tex]z[/tex] in this equation, we need to isolate [tex]z[/tex] by itself on one side of the equation.

To do this, we need to get rid of the [tex]14[/tex] that is being multiplied by the [tex]z[/tex] on the left-hand side of the equation. This can be done by dividing both sides by [tex]14[/tex]:

[tex]14z = 224[/tex]

[tex]\frac{14z}{14} = \frac{224}{14}[/tex]

[tex]z = 16[/tex]

Therefore, the solution to the equation is [tex]z = 16[/tex].

Answer:

Step-by-step explanation:

14z = 224

divide both sides by 14

[tex]z=\frac{224}{14}\\\\z=16[/tex]

Answer:

225 in squared

Step-by-step explanation:

since a square has 4 equal sides you do 60/4 which is 15

then to find the area or a square you take one side and multiply it by the same number so you would do 15*15=225

Answer:

225 sq . inch

Step-by-step explanation: