Which equation can be used to find the measure of angle FGE?

sin(x) = StartFraction 15.2 Over 9 EndFraction
sin(x) = StartFraction 9 Over 15.2 EndFraction
cos(x) = StartFraction 15.2 Over 9 EndFraction
cos(x) = StartFraction 9 Over 15.2 EndFraction

Answer:

Below.

Step-by-step explanation:

Using the given equation the rock will fall 16*(2)^2

= 16 * 4

= 64 feet in 2 seconds.

Therefore the rock will not hit the water in 2 seconds.

The approximate value of q in the logarithmic equation is 0.585.

The given logarithmic equation is  [tex]\rm q+log_2(6)=2q+2[/tex]

It is required to find the value of  'q'.

What is Logarithm?

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

We have a logarithmic equation:

[tex]\rm q+log_2(6)=2q+2[/tex]

After simplification the above equation we get;

[tex]\rm q+log_2(6)=2q+2\\\rm q-2q=-log_2(6)+2\\\rm -q=-log_2(6)+2\\[/tex].....(1)

From the logarithmic table, we get the value of  [tex]\rm log_2(6)[/tex]

[tex]\rm log_2(6)=2.5849[/tex]  

Putting this value in equation (1), we get:

[tex]\rm -q=-log_2(6)+2\\\rm -q=-2.5849+2\\\rm -q=-0.5849\\\rm q=0.5849 \approx 0.585\\[/tex]

Thus, the approximate value of q in the logarithmic equation is 0.585.

Learn more about the Logarithm here:

https://brainly.com/question/163125

A number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.

A mathematical phrase is a set of words or a combination of words and numbers that can be written as a mathematical expression.

Given

Jillian was asked to translate the expression 9 + n into words.

She wrote "a number increased by nine.

The expresion can be written into the two formate which is;

(n+9) and (9+n)

Hence, a number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.

To know more baout pharse click the link given below.

https://brainly.com/question/22314482

Answer: 104 ft²

Step-by-step explanation:

To find the area of the figure, we can find the area of the rectangle and the triangle. After that, we add the two areas together.

Rectangle

A=bh

A=10×8           [multiply]

A=80

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

Triangle

A=bh/2

A=6×8/2         [multiply]

A=48/2           [divide]

A=24

Now that we have the areas, we can add them together.

A=80+24        [add]

A=104 ft²

Now, we know that the area is 104 ft².

Answer:

1.3

Step-by-step explanation:

get it

Answer:

7/20

Step-by-step explanation:

[tex]\frac{3}{5}\div \frac{12}{7}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{3}{5}\times \frac{7}{12}[/tex]

[tex]Cancel\;common\;factor[/tex]

[tex]=\frac{1}{5}\times \frac{7}{4}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{7}{5\times \:4}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5\times \:4=20[/tex]

[tex]=\frac{7}{20}[/tex]

Answer = 7/20

~Learn with Lenvy~

Answer:

33+4^2

Step-by-step explanation:

Expression: Does not require an equal sign.

Sum: addition of

four squared: 4^2

thirty three: 33

The correct numerical expression that represents the sum of four squared and thirty three is,

⇒ 4² + 33

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

''the sum of four squared and thirty three''

Now, We get;

The correct numerical expression that represents the sum of four squared and thirty three is,

⇒ 4² + 33

Thus, The correct numerical expression that represents the sum of four squared and thirty three is,

⇒ 4² + 33

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Answer:

5+n/8= 42

Step-by-step explanation:

Answer:

5+n/8= 42

Step-by-step explanation:

Answer:

$270

Step-by-step explanation:

130%/100%=$351/X

(351*100)/130=$270

Answer:

Frank is correct

Step-by-step explanation:

Because if the denominator was 49 then the numerator would be 7

1/7=1/7

1/7=7/49

7*7=49

7*1=7

7/49=1/7

Hope this helped.

A brainliest is always appreciated.

Answer:

7->6->1->5->3

Step-by-step explanation:

The answer us 7->6->1->5->3.

Answer:

40

80

160

Step-by-step explanation:

Answer:

[tex]\mathsf{y=-\dfrac13x+5}[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]\mathsf{y=mx+b}[/tex]

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, 5)

Therefore, b = 5

Choose another point on the line, e.g. (3, 4)

Now use the slope formula to find the slope:

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

where:

[tex]\implies \mathsf{slope=\dfrac{5-4}{0-3}=-\dfrac13}[/tex]

Therefore, the equation of the line is:

[tex]\mathsf{y=-\dfrac13x+5}[/tex]

Answer:

[tex]y=-\frac{1}{3} + 5[/tex]

Step-by-step explanation:

Answer:

800x40=32000

Step-by-step explanation:

Basically its 800 40 times.

Answer:

32,000

Step-by-step explanation:

First put 800 over 40

Second, multiply the 3rd zero by the first zero of 40

Multiply the 2nd zero by the same zero of 40

Multiply 8 by 4 and the result should be 800

Then you multiply 800 by 4.

0 x 4 is 0

0 x 4 is 0

8 x 4 is 32

(Make sure you add the zero from 40)

Put it together and you get 32,000

Answer:

A C and E

Step-by-step explanation:

Edge

The choices that contain equivalent statements are:

a) ln 3x = 6 → 3x = e⁶

c) log 4x = 8 → 4x = 10⁸

e) 5.6554 = 10ˣ → log 5.6554 = x

To determine which choices contain equivalent statements, let's analyze each option one by one:

a) ln 3x = 6 → 3x = e⁶

This statement is true. It represents the inverse relationship between the natural logarithm (ln) and the exponential function with base e. Taking the exponential of both sides of the equation allows us to isolate the variable.

b) log 3x = 9 → 9x = 10³

This statement is not true. It seems to confuse the base of the logarithm. If the logarithm is not specified with a base, it is usually assumed to be base 10 (log base 10). In this case, the correct equivalent statement would be 3x = 10⁹.

c) log 4x = 8 → 4x = 10⁸

This statement is true. Similar to the previous option, assuming a base 10 logarithm (log base 10), the equivalent statement would be 4x = 10⁸.

d) 0.577 = e⁵ˣ → ln 5 = x / 0.577

This statement is not true. The equation given at the beginning, 0.577 = e⁵ˣ, cannot be transformed into the second equation using the properties of logarithms or exponentials. The two statements are unrelated.

e) 5.6554 = 10ˣ → log 5.6554 = x

This statement is true. It correctly represents the relationship between the logarithm and exponential functions. By taking the logarithm (base 10) of both sides of the equation, we can solve for x.

In summary, the choices that contain equivalent statements are:

a) ln 3x = 6 → 3x = e⁶

c) log 4x = 8 → 4x = 10⁸

e) 5.6554 = 10ˣ → log 5.6554 = x

Learn more about logarithm and exponential functions click;

https://brainly.com/question/30284278

#SPJ2

Answer:

Step-by-step explanation:

d.

[tex]2(x - y) \\ 2x - 2y \\ [/tex]

Answer:

675 Foxes

Step-by-step explanation:

y=75*3x

39/13=3

y=75*3*3

y=75*9

y=675

Number of incorrect answers Rashida got = 12

Number of correct answers Rashida got = 18

Given :-

Points for each correct answer =

[tex] = 2 \frac{1}{4} [/tex]

Points for each incorrect answer =

[tex] = \frac{ - 1}{ \: \: \: 2} [/tex]

Points Rashida will get for her correct answers :-

[tex] = 2 \frac{1}{4} \times 18[/tex]

[tex] = \frac{(4 \times 2+ 1)}{4} \times 18[/tex]

[tex] = \frac{9}{4} \times 18[/tex]

[tex] = \frac{162}{4} [/tex]

[tex] = 40.5 \: points[/tex]

Points Rashida will get for her incorrect answer :-

[tex] = \frac{ - 1}{ \: \: \:2} \times 12[/tex]

[tex] = \frac{ - 12}{ \: \: \: \: \: 2} [/tex]

[tex] = - 6 \: points[/tex]

So , Rashida gets 40.5 points for her correct answer and -6 points for her incorrect answer .

Rashida's total score :-

[tex] = 40.5 + ( - 6)[/tex]

[tex] = 34.5 \: points[/tex]

Therefore , Rashida gets 34.5 points as her total score .

The overall score of Rashida will be 34.5 for the given exam.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Number of correct answers = 18

Points of correct answer = 2 1/4 = 9/4

Scores of correct answer = 18 × 9/4 = 40.5

Number of incorrect answers = 18

Scores of incorrect answer = 12 × (-1/2) = -6

Total score = 40.5 - 6 = 34.5

Hence "The overall score of Rashida will be 34.5 for the given exam".

For more information about multiplication,

brainly.com/question/14059007

#SPJ2

Answer:

1

Step-by-step explanation:

2^−1 + 2^−1

2x2^-1

1

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+4}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(4)}}{2(3)}\implies x=\cfrac{-2\pm \sqrt{4-48}}{6}[/tex]

[tex]x=\cfrac{-2\pm \sqrt{-44}}{6}\implies x=\cfrac{-2\pm \sqrt{(-1)(2^2)(11)}}{6}\implies x=\cfrac{-2\pm 2~i\sqrt{11}}{6} \\\\\\ x=\cfrac{2(-1\pm i\sqrt{11})}{6}\implies x=\cfrac{-1\pm i \sqrt{11}}{3}[/tex]

mind you that it has two complex roots, or imaginary values.

Answer:

10(m)+100

Step-by-step explanation:

$10 is multiplied by m becuase that price depends on how many months you want the memberhsip, plus the $100 for applying.

I hope I helped <33

Answer:  slope = [tex]\frac{6}{4}[/tex]

Step-by-step explanation:

To find the slope, choose two points. (0,0) and (4,6)

slope = (y2 - y1) / (x2 - x1) = (6 - 0) / (4 - 0) = 6 / 4

Answer:

f = 8

Step-by-step explanation:

I hope this helps!

Answer:

f=8

Step-by-step explanation:

Step 1: Distribute

2(f) + 2(-5) = 6

2f - 10 = 6

Step 2: Add 10 to both sides to get 2f alone

2f = 16

Step 3:  Divide both sides by 2 to get f alone

f = 8

Answer:

56

Step-by-step explanation:

1% of 70 is 0.7

0.7 x 80 is 56

Answer:

it is Juan’s work I just did the answer it works

Step-by-step explanation:

the answer is 15cm (pls mark brainlest)

Answer:

3:40

Step-by-step explanation:

We need both measurements in the same units.

1 m = 100 cm

2 m = 2 × 1 m = 2 × 100 cm = 200 cm

15 cm to 2 m = 15 cm to 200 m

Divide both numbers in the ratio by 5 cm.

15 cm to 200 cm = 3:40

Answer: 368 hours

Step-by-step explanation:

if hes working 23 hours every day, he will have worked 16x23 = 368 hours in 16 days

Answer:

[tex](0,-3)[/tex]

[tex](5,0)[/tex]

[tex](10,3)[/tex]

[tex](20,9)[/tex]

Step-by-step explanation:

Given

[tex]3x - 5y = 15[/tex]

Required

Form 4 pairs of (x,y) values

This question will be answered based on assumptions of x and y values;

Haven said that:

For point 1

Take x = 0

Substitute 0 for x in [tex]3x - 5y = 15[/tex]

[tex]3(0) -5y = 15[/tex]

[tex]-5y = 15[/tex]

Solve for y

[tex]y = 15/-5[/tex]

[tex]y = -3[/tex]

So; the first pair is:

[tex](0,-3)[/tex]

For point 2:

Take y = 0

Substitute 0 for y in [tex]3x - 5y = 15[/tex]

[tex]3x - 5(0) = 15[/tex]

[tex]3x = 15[/tex]

Solve for x

[tex]x = 15/3[/tex]

[tex]x = 5[/tex]

So, the pair is

[tex](5,0)[/tex]

For point 3:

Take x = 10

Substitute 10 for x in [tex]3x - 5y = 15[/tex]

[tex]3(10) - 5y = 15[/tex]

[tex]30 - 5y = 15[/tex]

Collect Like Terms

[tex]-5y = 15 - 30[/tex]

[tex]-5y = -15[/tex]

Solve for y

[tex]y = -15/-5[/tex]

[tex]y = 3[/tex]

So, the pair is:

[tex](10,3)[/tex]

For point 4:

Take y = 9

Substitute 9 for y in [tex]3x - 5y = 15[/tex]

[tex]3x - 5(9) = 15[/tex]

[tex]3x - 45 = 15[/tex]

Collect Like Terms

[tex]3x = 45 + 15[/tex]

[tex]3x = 60[/tex]

Solve for x

[tex]x = 60/3[/tex]

[tex]x = 20[/tex]

So, the pair is:

[tex](20,9)[/tex]

Answer:

the guy above me his answer is correct

Step-by-step explanation:

i got a A on my TGA

Answer:

Final Cost, Price with tax, and Discount.

Step-by-step explanation: