Need answer for number 4 please show work

The value of the logarithm function log₅25 is 2. Then the correct option is C.

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic form of 25 will be

We know that if the base of the logarithm is the same as the number then the value of the logarithm will be 1 one that is given as

[tex]\rm log_a a = 1[/tex]

Then take the log with the base value of 5.

log₅25 = log₅5²

log₅25 = 2 × log₅5

log₅25 = 2

The value of the logarithm function log₅25 is 2. Then the correct option is C.

More about the logarithm link is given below.

https://brainly.com/question/7302008

Answer:

c

Step-by-step explanation:

Answer:

sin(90-25) = sin(65)

Step-by-step explanation:

cos(a) = sin(90-a)

The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 , the value of b is -9.

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.

Given

The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 .

The axis of the symmetry is given by;

[tex]\rm x=\dfrac{-b}{2a}[/tex]

The value of x is 3/2 and a is 3.

Substitute all the values in the formula

[tex]\rm x=\dfrac{-b}{2a}\\\\\dfrac{3}{2}=\dfrac{-b}{2 \times 3}\\\\\dfrac{3}{2}=\dfrac{-b}{6}\\\\ -b = \dfrac{6 \times 3}{2}\\\\ b = \dfrac{=18}{2}\\\\b =-9[/tex]

Hence, the value of b is -9.

To know more about the axis of symmetry click the link given below.

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Answer:

a = 4/3

yea thats the answer

Answer:

12x-8

Step-by-step explanation:

Answer:

12x-8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

sinΘ = [tex]\frac{6}{7}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

This is a right triangle with hypotenuse 7 and opposite side 6

Use Pythagoras' identity to find the adjacent side a

a² + 6² = 7²

a² + 36 = 49 ( subtract 36 from both sides )

a² = 13 ( take square root of both sides )

a = [tex]\sqrt{13}[/tex]

Then

cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{\sqrt{13} }{7}[/tex] → B

The expression results when the change of base formula is [tex]\rm \dfrac{log(x+2)}{log4}[/tex].

We have to determine

Which expression results when the change of base formula is applied to log Subscript 4 Baseline (x + 2)?

The logarithm of a product as a sum of logarithms, the log of the quotient as a difference of log, and log of power as a product.

The base change formula is;

[tex]\rm loga_x= \dfrac{log_bx }{log_ba}\\\\[/tex]

The expression results when the change of base formula is applied to log Subscript 4 Baseline (x + 2) is;

[tex]\rm = log_4(x+2)\\\\=\dfrac{log(x+2)}{log4}[/tex]

Hence, the expression results when the change of base formula is [tex]\rm \dfrac{log(x+2)}{log4}[/tex].

To know more about base property click the link given below.

https://brainly.com/question/15972912

[tex]6 \frac{2}{3} = \frac{2}{18} = 9[/tex]

[tex]3 \times \frac{1}{2} = \frac{1}{6} = 6[/tex]

6×9=54

Answer:

(© 105 + 90 = (52 - 70)

Step-by-step explanation:

Answer:

a. geometric

b. an =  2(2)^n-1 or an = 2^n

c. an+1 = an x 2

Step-by-step explanation:

The sequence, 2, 4, 8, 16, 32,...

a. The sequence is geometric because there is a common ratio in the numbers of the sequence. Each number is made by multiplying the common ratio and the previous number.

b. The explicit formula that can be used to find any term is an =  2(2)^n-1 or an = 2^n

Note: the variable n and number 1 is written in italics to show that it should be in subscript

an = a1 (r)n-1

With the common ratio of n being 2 and first number being 2, we have:

an =  2(2)^n-1

or

an = 2^n

c. The recursive formula for the sequence is an+1 = an x 2

an+1 = an x r

Plugging in the values, we have

an+1 = an x 2

Your welcome, and comment if you have any questions! If you could mark this answer as brainliest, I would appreciate it very much!

Answer:

so you don't have to give me points but I can explain how to do it

Step-by-step explanation:

so for number 1. it says y=3x-7 and the equation is 5x+4y=6

so basically your plugging in y so

5x+5(3x-7)=6 and you will get your answer

Step-by-step explanation:

You need to find the n( A n B ) and then continue the process, if you have any question revert back to me...

Answer:

Step-by-step explanation:

The pattern of this sequence is : From a term, we minus 6 to get to the next term

107 - 6 = 101
101 - 6 = 95
So on and so on.

The difference between 107 and -61 is : 107 - (-61) = 168

Everytime we go to the next term, we get 6 units closer to -61

So, -61 will be the 168 : 6 = 28th term of this arithmetic sequence.

Answer:

19.5552

Step-by-step explanation:

34.92 x 0.56

Use calculator or use long multiplication.

    3492

       ×56

  20952

+17460  

195552

How many numbers are after the point on both of the numbers?

2 each. 2 + 2 = 4

We will take our result 4 points back or divide it by 10^4

195552 / 10000 = 19.5552

The distributive property is basically expanding brackets.

So if you take 3(x + 4) = 36 and remove the brackets (so multiplying out the 3), you get:

3x + 12 = 36

And from there you simplify :)

3x + 12 = 36

3x = 24

x = 8

The distributive property was used to multiply the 3 through the brackets, thus making the equation easier to solve I guess

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y=3x-4

Step-by-step explanation:

If we substitute the values of the points (-3, -13) (-1, -7), and (2, 2) into the equation, we can see that it's right.

Step-by-step explanation:

Q1)

for x = 2, y = 1

-8x³y⁴/7 = -64/7

-8×2³×1⁴/7 = -8×8×1/7 = -64/7

true

Q2)

x/4 + x/6 - x/2 = 3/4

is x = -9 ?

bringing everything to 1/12 ...

3x/12 + 2x/12 - 6x/12 = 3×3/12

-x/12 = 9/12

-x = 9

x = -9

true

Q3)

can

1 - 2ab - (a² + b²) = 1 - 2ab - a² - b² be factored as

(1 + a - b)(1 + a + b)

let's multiply

(1 + a - b)(1 + a + b) =

= 1 + a + b + a + a² + ab - b - ab - b² =

= 1 + 2a + a² - b²

this is NOT the same as

1 - 2ab - a² - b²

false

Q4)

The horizontal distance of a point from the y-axis is called abscissa or x coordinate of the point.

3 is the y coordinate of (2, 3) and not the x coordinate.

false

Q5)

(7, 9) and (9, 7)

the x coordinates are different, and the y coordinate are different. so, they are definitely NOT the same point.

this would be like saying 5 hours and 3 minutes is the same as 3 hours and 5 minutes.

false

Q6)

now, this is tricky. there are 4 perfect cubes between 1 and 100 :

1×1×1 = 1

2×2×2 = 8

3×3×3 = 27

4×4×4 = 64

did your teacher mean "exactly 3 perfect cubes" ? because, since there are 4, there are also 3, of course (and 2, and 1).

and did "between 1 and 100" mean including the numbers 1 and 100, or excluding the numbers 1 and 100 ?

so, if excluding 1 and 100, then it is true.

if including 1 and 100 and asking for exactly 3, then it is false.

if including 1 and 100 and truly only asking for 3, then it is true.

Q7)

12³ = 12×12×12 = 144×12 = 1728

true

Q8)

(a+1)(a-1)(a²+1) = (a⁴ -1) ?

let's multiply

(a² + a - a - 1)(a² + 1) = (a²-1)(a²+1) = a⁴ - a² + a² - 1 = a⁴-1

true

Q9)

the areas of the 2 squares are

25a² and 25b²

the sum is

25a² + 25b² = 25(a² + b²)

but

25(a+b)(a-b) = 25(a² - b²)

this is NOT the same.

false

Q10)

abc + bca + cba

a monomial is, roughly speaking, a polynomial which has only one term.

but the given expression has 3 terms.

false

Answer:

Step-by-step explanation:

<A = <C

The angles meeting at B and are part of the triangle are vertically opposite and therefore equal.

<E  and <D are equal. (given)

Therefore by angle angle angle, the two connected triangles are similar

AD/CE = 12/x        from <A = <C

27/23.4=12/x         Cross Multiply

27x = 12*23.4        Combine the Right Side

27x = 280.8           Divide by 27

x = 280.8/27

Answer: x = 10.5 cm

Answer:

D) 10

Step-by-step explanation:

Singe a right triangle has to be 90 degrees, 60+(3*10)=90:)

therefore x=10

Answer:

D

Step-by-step explanation:

the angles 60 and 3x form a right angle , then

60 + 3x = 90 ( subtract 60 from both sides )

3x = 30 ( divide both sides by 3 )

x = 10 → D

Using it's concept, it is found that there is a:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 18 + 1 + 10 + 0 = 29 animals, hence:

18/29 = 0.6207.

0.6207 = 62.07% probability of selecting a cow.

1/29 = 0.0345.

0.0345 = 3.45% probability of selecting a horse.

10/29 = 0.3448.

0.3448 = 34.48% probability of selecting a goat.

0/29 = 0.

0% probability of selecting a chicken.

More can be learned about the probability concept at https://brainly.com/question/15536019

Answer:

12/52 or 3/13

Step-by-step explanation:

So lets go over what we know:

There are 12 face cards in a deck of cards

There are 52 cards in a deck

So there are 12 face cards out of 52 cards.

The ratio of this is:

12 : 52

This looks like this in fraction form:

[tex]ratio1 : ratio2[/tex] =   [tex]\frac{ratio1}{ratio2}[/tex]

So the ratio 12 : 52 = [tex]\frac{12}{52}[/tex]

So the answer is 12/52(this can be simplified to 3/13)

Hope this helps!

Answer:

Step-by-step explanation: well the  anwser is 48

Answer:

R325

Step-by-step explanation:

Cost to buy shoes (x)

x = 175 * 50

x = 8750

At this point they've lost R8750 (-8750)

7500 = -8750 + 16250

To make an overall profit of R7500 they would need to sell the shoes at

16250 / 50 = R325

Answer:

Step-by-step explanation:

[tex]\frac{6}{3}=\frac{AC}{6}\\AC=12[/tex]

Combine the fractions on the left side:

9/(x + 2) + 2/(x - 2) = 1

9 (x - 2) / ((x + 2) (x - 2)) + 2 (x + 2) / ((x + 2) (x - 2)) = 1

(9x - 18) / ((x + 2) (x - 2)) + (2x + 4) / ((x + 2) (x - 2)) = 1

(9x - 18 + 2x + 4) / ((x + 2) (x - 2)) = 1

(11x - 14) / ((x + 2) (x - 2)) = 1

Recall the difference of squares identity,

a² - b² = (a + b) (a - b)

which lets us simplify the denominator on the left side as

(11x - 14) / (x² - 4) = 1

For any real numbers a and b, if a/b = 1, then a = b. This means

11x - 14 = x² - 4

which we can rearrange as

x² - 11x + 10 = 0

Factorize the left side:

(x - 10) (x - 1) = 0

Then

x - 10 = 0   or   x - 1 = 0

x = 10   or   x = 1

The statement that is true about her rate of change in elevation is  She descended at a rate of 920 feet per hour.

From the question, Jacinta traveled from an altitude of 4,450 feet above sea level to an altitude of 150 feet below sea level, then the total distance traveled will be

D = 4450 + 150

D = 4600 feet

If Jacinta drove at a constant speed and the trip took her five hours, her rate will be expressed as:

Rate = Total distance/Time

Rate = 4600/5

Rate = 920 feet perhour

Hence the statement that is true about her rate of change in elevation is  She descended at a rate of 920 feet per hour.

learn more on rate of change here: https://brainly.com/question/8728504

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