Which equation below represents the equivalent exponential equation for the equation of log6 256=x?(in picture)

Answer:

The value of k is 46°.

Step-by-step explanation:

Given that when 2 angles add up together, they will form 75°.

So in order to find the value of k, you have to subtract 29° from 75° :

[tex]k + 29 = 75[/tex]

[tex]k = 75 - 29[/tex]

[tex]k = 46[/tex]

Answer:

46 degrees.

Step-by-step explanation:

The whole angle is 75 degrees. So you subtract the given value with the total angle. 75-29=46 degrees.

Answer:

(40+2)+(6x4)

Step-by-step explanation:

Forty plus two is forty-two, and six times four is twenty-four. So, add them together and you'll get the same answer! Hope this helps!

Our equation: 33x + 10 = 5 - 2x

Step 1:

To solve for x, we need to remember to isolate the variable (that is our way to solve for x). To do that, we add 2x on the right side of the equation to cancel -2x out. Then, we add 2x on the left of the equation. The equation becomes:

[tex]35x+10=5[/tex]

Step 2:

We subtract 10 from both sides (to cancel out the 10 on the left). Equation:

[tex]35x=-5[/tex]

Step 3: Divide 35 on both sides to get our x value.

[tex]\frac{35x}{35}=x\\\\\frac{-5}{35} =\frac{-1}{7}[/tex]

Answer: [tex]x=\frac{-1}{7}[/tex] Hope this helps!

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Hi my lil bunny!

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The simplest method to find a rational number between two rational numbers x and y is to divide their sum by 2.

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●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

Let the distance of school and house is x k m

Then time taken at speed 2.5 km\hr=

2.5

x

hr

And time taken at speed 4 km\hr=

4

x

hr

∴

2.5

x

−

4

x

=

60

12

⇒

10

4x−2.5x

=

5

1

⇒x=3 km

Then the distance of school and house is 3 k m

may this help you

Answer:

Width = 12 foot

Length = 24 foot

Step-by-step explanation:

Let

Width=x

Length=2x

Area = 288 square feet

Area of the garage = Length × width

288 = 2x * x

288= 2x^2

Divide both sides by 2

288 / 2 = x^2

144= x^2

Find the square root of both sides

√144 = √x^2

12 = x

Therefore,

x=12

The dimensions will be:

Width = x

= 12

Length = 2x

=2(12)

=24

Width = 12 foot

Length = 24 foot

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Hi my lil bunny!

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Answer : (B) [tex]100,000,000 + 20,000,000 + 4,000,000 + 700,000 + 50,000 = 124,750,000[/tex]

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Have a great day/night!

❀*May*❀

Answer:

B.

Step-by-step explanation:

124,750,000=100,000,000

20,000,000

4,000,000

700,000

+50,000

Hope this helps ;) ❤❤❤

Answer:

No opposite

Step-by-step explanation:

Zero has no opposite because it is neither positive or negative.

The value of the number that is the opposite of 0​ is 0

From the question, we have the following parameters that can be used in our computation:

Number = 0

By definition:

The number that is the opposite of a number x is -x

using the above as a guide, we have the following:

Opposite = -0

Evaluate

Opposite = 0

Hence, the number that is the opposite of 0​ is 0

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Answer:

3 - ( -5)=

8

Step-by-step explanation:

To find the distance

3 - ( -5)=

3+5

8

Answer:

[tex]P(M) = \frac{1}{3}[/tex]

The game is not a fair game

Step-by-step explanation:

We start by listing out the sample space

Number Cube 1: {1,2,3,4,5,6}

Number Cube 2: {1,2,3,4,5,6}

Sample Space (S) of the sum of the 2 cubes;

[tex]S = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]

[tex]n(S) = 36[/tex]

Next, is to list out all multiples of 3; Represent this with M

[tex]M = \{3,6,3,6,6,9,6,9,6,9,9,12\}[/tex]

[tex]n(M) = 12[/tex]

Your probability of winning is the probability of M and is calculated as thus;

[tex]P(M) = \frac{n(M)}{n(S)}[/tex]

[tex]P(M) = \frac{12}{36}[/tex]

[tex]P(M) = \frac{1}{3}[/tex]

The probability of Kyle winning, P(K) = 1 - P(M)

[tex]P(K) = 1 - \frac{1}{3}[/tex]

[tex]P(K) = \frac{2}{3}[/tex]

The game is not a fair game because;

The probability of you winning and the probability of Kyle winning are not equal;

Answer:

1

Step-by-step explanation:

Given

[tex]\frac{14x}{10y}[/tex] ← substitute x = 5 and y = 7 into the expression

= [tex]\frac{14(5)}{10(7)}[/tex]

= [tex]\frac{70}{70}[/tex]

= 1

5 equilateral triangles.

Hope this helps.

Answer:

.2,.35,.39,.75

Step-by-step explanation:

u just arrang in order

Answer:

st

Just substitute in the given values

Step-by-step explanation:

Hey, there!!

You can solve it simply,

1.

Given,

x= 1 , y=2 , z= 3

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ {1}^{2} } - \frac{1}{2 + 3} [/tex]

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

Taking LCM,

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

Therefore, the final answer is 4/5.

2.

Given,

x= 1 , y= -2, z= -1.

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

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

Taking LCM,

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

[tex] = \frac{ - 4}{ - 3} [/tex]

Cancelling the minus sign,

[tex] \frac{4}{ 3} [/tex]

is the final answer.

3.

Given,

x= -3, y= -1, z= 4

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ {( - 3)}^{2} } - \frac{ - 3}{ - 1 + 4} [/tex]

[tex] = \frac{1}{9} - ( - 1)[/tex]

[tex] = \frac{1 + 9}{9} [/tex]

Therefore, the answer is 10/9.

4.

Given,

x= 1/2, y=1, z=1.

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ ( { \frac{1}{2}) }^{2} } - \frac{ \frac{1}{2} }{1 + 1} [/tex]

Simplifying them ,

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

[tex] = 4 - 1[/tex]

Therefore, the answer is 3.

Hope it helps...

Volume of cube = side length^3

Volume = 14^3

Volume = 2,744 cubic meters

Answer:

v=x^3

14^3=2744

.....

Answer:

1/5

Step-by-step explanation:

non collinear means that they don't lie on the same line

so the probability is 1/5

this is because there are 5 points in total ( Q, R, S, T, AND W)

and only 1 can be non collinear  (Q)

(non collinear point pair can be Q and R,  Q and S,   Q and T   or   Q and W )

Answer:

B

Step-by-step explanation:

So we have the equation:

[tex]12x+18=4(5x-3)[/tex]

Distribute the right:

[tex]12x+18=20x-12[/tex]

Add 12 to both sides:

[tex]12x+30=20x[/tex]

Subtract 12 from both sides:

[tex]30=8x[/tex]

Divide both sides by 8:

[tex]x=30/8[/tex]

Reduce:

[tex]x=15/4[/tex]

Put into mixed fractions:

[tex]x=12/4+3/4=3\text{ } 3/4[/tex]

Our answer is B :)

Answer:

[tex]B. \:3\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]12x+18=4(5x-3)\\\\\mathrm{Expand\:}4\left(5x-3\right):\quad 20x-12\\12x+18=20x-12\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\12x+18-18=20x-12-18\\\\Simplify\\12x=20x-30\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\12x-20x=20x-30-20x\\\\Simplify\\-8x=-30\\\\\mathrm{Divide\:both\:sides\:by\:}-8\\\frac{-8x}{-8}=\frac{-30}{-8}\\\\Simplify\\x=\frac{15}{4}\\\\15\div 4 = 3remainder3\\\\=3\frac{3}{4}[/tex]

Answer: 7 8 and 9

Step-by-step explanation:

7+8=15 and 15+9= 24 so 7, 8, 9 equal 24

Step-by-step explanation: This problem states that the sum of 3

consecutive integers is 24 and it asks us to find the integers.

You can represent the integers as I have down below.

Then solve from there, which I have also shown below.

Don’t just solve for x. Make sure you list all the

integers that the problem asks you to find.

Answer:

Last year there were 1070 students.

Step-by-step explanation:

Since 856 students represent a 20% drop from last year's number of students, then 856 students is 80% of last year's number.

80% of x = 856

0.8x = 856

x = 856/0.8

x = 1070

Answer: Last year there were 1070 students.

Answer:

1070

Step-by-step explanation:

p = previous years populations

p - p 20% = 856

p - .20*p = 856

Combine like terms

.80p = 856

Divide each side by .8

.80p/.8 - 856/.8

p =1070

Answer:

you need one of them to be 0 and the other 2 the negative of each other.

or they must have the same sign and be 1,2,3 (or -1, -2 and -3)

sequence not effect the answer

Step-by-step explanation:

Answer:

8.75

Step-by-step explanation:

because it had increase in percent is about 70 % which is 70% do the same to 5.25 which is 8.75

Answer:

$8.75

Step-by-step explanation:

We can use ratios to solve

150 vitamins       250 vitamins

------------------ = ------------------

$5.25                     $x

Using cross products

150x = 250 (5.25)

150x =1312.5

Divide each side by 150

x =1312.5/150

x =8.75

Answer:

1

Step-by-step explanation:

If it was 0, then the variable would not be there since anything times 0 is 0. Now you might be wondering how it is 1. Anything times 1 is itself, so there is no need to write x as 1x, you can just write it as x. Same thing with a. No need to write 1a, just a

The coefficient of a plain variable is 1.

A coefficient is a number multiplied by a variable.

Whenever a variable is given without any coefficient, we consider the coefficient as 1, because multiplying any digit or variable by 1 does not change its value.

Hence, The coefficient of a plain variable is 1.

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Answer:

a = 50 degrees

b = 85 degrees

c = 95 degrees

d = 82 degrees

e = 125 degrees

f = 95 degrees

g = 110 degrees

h = 35 degrees

Step-by-step explanation:

1: Since the bottom angle is 124, then we see that a + 74 = 124 because they are corresponding angles.

Solve for a, and we get a = 50 degrees.

2. b is equal to 180 - 95 which is 85 degrees, as it is supplementary with the alternate exterior angle of 95 degrees.

c is equal to 180 - 85 which is 95 degrees, as it is supplementary with the alternate exterior angle of 85 degrees.

3. d is 82 degrees, as it is an alternate interior angle with the 82.

e is 125 degrees, as it is corresponding with the 125.

4. If we extend the left slanted line, we see that the exterior angle of the bottom left angle of the triangle is 130 degrees. We know that 130 = 45 + 180 - f, so we solve for f and get 95 degrees.

5. g = 180 - 70 = 110 degrees, as it is supplementary with the alternate exterior of the corresponding angle of 70.

6. We know that the top right angle of the 120 degrees and the 35 degrees triangle is 25 degrees. Then, the bottom left angle is also 25 degrees as they are alternate interior angles. The other unknown angle in the 25 degrees and h triangle is supplementary to 60, so it is 120 degrees.

We know that 25 + h + 120 has to be 180, so we can solve for h and get 35 degrees.

First replace x with -2 in the g(x) equation and solve:

G(x) = x + 4 = -2 + 4 = 2

Now replace x in the f(x) equation with the solution of g(x).

F(x) = 1-3(2) = 1-6 = -5

Fg(-2) = -5

Answer:

x = m - a/b + k

Step-by-step explanation:

m = x + (a / b) - k ​

switch sides

x + a/b - k = m

subtract a/b - k from both sides

a + a/b - k - (a/b - k) = m - (a/b - k)

therefore,

x = m - a/b + k

Answer:

[tex]\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}[/tex]

[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}[/tex]

[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}[/tex]

[tex]x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1[/tex]

[tex]\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4[/tex]

Answer:

C

Step-by-step explanation:

The difference between 30 and 15 is 15

then multiply the 15 % with 400

and you will get the value 60 which is the answer you want

Answer:

C. 60

Step-by-step explanation:

To find the difference between them, we must:

1. Find the amount of the percentage.

(Percent (%) is always over 100)

30% of 400 = 30/100 × 400/1

=12,000/100 = 120

So 30% of 400 is 120.

15% of 400 = 15/100 × 400

=6,000/100 = 60

So 15% of 400 is 60.

2. Then subtract the amount of the percentages to find their difference.

120 - 60= 60

So the difference between 120 and 60 is 60.

I hope this helps! I'm sorry if it's wrong or too complicated.

Answer: B

Step-by-step explanation:

The end behavior of f(x) is that both ends go down. The correct answer is B.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

f(x) = -3x^4+2x^2-x

Now,

we can find the end behavior of f(x) = -3x^4 + 2x^2 - x:

The degree of f(x) is 4, which is even. Therefore, both ends of the graph will either go up or go down.

The leading coefficient of f(x) is -3, which is negative. Therefore, the right end of the graph will go down.

Since both ends have to go in the same direction, and the right end goes down, then the left end must also go down.

Therefore, by the given function the answer will be both ends go down

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Answer:

241/35 = 6  31/35

Step-by-step explanation:

2  3/5 + 4  2/7 = 241/35