hello :) why is the first one wrong?

Hello :) Why Is The First One Wrong?

Answers

Answer 1

Answer:

The cube only belongs to the x and not 2x.

The statement will only be true if there is a bracket around the 2x.

log₃(2x)³= 3log₃2x

logarithm power rule:

logₐ(x)^y = y ∙ logₐ(x)

Answer 2

Answer:

see explanation

Step-by-step explanation:

Given

[tex]log_{5}[/tex] 2x³

= [tex]log_{5}[/tex] 2 + [tex]log_{5}[/tex] x³

= [tex]log_{5}[/tex] 2 + 3[tex]log_{5}[/tex] x


Related Questions

Piper deposited $734.62 in a savings account that earns 2.6% simple interest. What is Piper's account balance after seven years?

Answers

Answer:

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Step-by-step explanation:

first see te interest :

A=prt   (p is the deposited amount, r is the rate ,  t is the time)

A=734.62 *(2.6/100)* 7

A=133.70084

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Answer:

$868.32

Step-by-step explanation:

First you need to multiply 734.62 by 2.6%.

734.62 x 0.026 = 19.1

Then we need to multiply that by 7 (because 7 years).

19.1 x 7 = 133.7

Then add that to the initial deposit.

734.62 + 133.7 = 868.32

So after 7 years in a savings account your $734.62 would become $868.32.

find the missing part of the proportion 12/x = 3/7 x= _

Answers

Answer:

x = 28

Step-by-step explanation:

12/x = 3/7

Using cross products

3x = 12*7

3x = 84

Divide by 3

x = 28

For which of the following compound inequalities is there no solution?
A. 3m - 12 > 30 and -6m >= 24
B. -6m >= 12 and m + 5 -18
C. -5m < 20 and 6m > -18
D. -4m - 10 <= -22 and 6m - 8 >= 22
>= is greater than or equal to
<= is less than or equal to

Answers

Answer:

A

Step-by-step explanation:

[tex]3m - 12 > 30 \text{ and } -6m\geq 24[/tex]

[tex]\boxed{3m - 12 > 30 \wedge -6m\geq 24}[/tex]

[tex]m>14 \wedge m\leq -4[/tex]

There's no solution. It is the first one already. There is no number that is both greater than 14 and less than or equal to -4. That is no solution because there's no [tex]m[/tex] that satisfy the compound inequality.

Note: the signal change because we divided by negative number.

Answer:

3m - 12 > 30 and -6m >= 24

Step-by-step explanation:

A. 3m - 12 > 30 and -6m >= 24

3m > 42  and m < = -4

m > 14 and m < = -4

This has no solution

B. -6m >= 12 and m + 5 -18

cannot solve since missing inequality

C. -5m < 20 and 6m > -18

m > -4   and m > -3

solution m > -3

D. -4m - 10 <= -22 and 6m - 8 >= 22

-4m < = -12  and 6m > = 30

m > = 3   and m > =5

m > = 5

What is the sum of the three solutions (find the values for x, y, and z, then add the answers)? 2x + 3y − z = 5 x − 3y + 2z = −6 3x + y − 4z = −8 Show All Work !!

Answers

Answer:

x + y + z = 4

Step-by-step explanation:

Give equations are,

2x + 3y - z = 5 --------(1)

x - 3y + 2z = -6 --------(2)

3x + y - 4z = -8 --------(3)

By adding equations (1) and (2),

(2x + 3y - z) + (x - 3y + 2z) = 5 - 6

3x + z = -1 -------(4)

By multiplying equation (3) by 3, then by adding to equation (2)

(9x + 3y - 12z) + (x - 3y + 2z) = -24 - 6

10x - 10z = -30

x - z = -3 --------- (5)

By adding equation (4) and (5),

(3x + z) + (x - z) = -1 - 3

4x = -4

x = -1

From equation (5),

-1 - z = -3

z = 2

From equation (1),

2(-1) + 3y - 2 = 5

-2 + 3y - 2 = 5

3y = 5 + 4

y = 3

Therefore, x + y + z = -1 + 3 + 2

x + y + z = 4

how do you find the area of an open cylinder... what is the Formula?? please help​

Answers

Answer:

Cylinder has a formula

π×r²×h

so of it is open

π×r²×h - π×r²

Answer:

pls give brainiest

Step-by-step explanation:

A=2πr×h(r+h)

the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the tower​

Answers

Answer:

30.51 meters

Step-by-step explanation:

Given that:

The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.

According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°

Also let the  distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B

To find B, since the angle between the height of the tower and the base is 90°, we use:

B + 36° + 90° = 180° (sum of angles in a triangle)

B + 126 = 180

B = 180 - 126

B = 54°

Therefore using sine rule:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters[/tex]

The height of the tower is 30.51 meters

the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle

Answers

Answer: 192

Step-by-step explanation:

Use algebra

x + 3x + x + 3x = 64 (perimeter)

Combine Like Terms

8x = 64

x = 8

8 + 24 + 8 + 24 = 64

24/8 = 3

Which statement describes the graph of x = 4

Answers

Answer:

The graph of x=4 is a vertical line parallel to y-axis and having a x-intecept:(4,0) and having no y-intercept

Step-by-step explanation:

So I think that the answer would be this, which means answer 1!! Hope this helps


Number of minutes 1 2 3 4 5 6 7 8 9 10
Number of trainees 2 3 5 10 15 30 25 15 10 5
1.) use the data to draw a bar chart

Answers

Answer: please find the attached file for the graph.

Step-by-step explanation:

Number of minutes 1 2 3 4 5 6 7 8 9 10Number of trainees 2 3 5 10 15 30 25 15 10 5

Given that data set above, the time in minutes will be on the x axis while the number of trainees will be in the y axis.

In bar chart, the bars will not touch each other.

Please find the attached file for the solution and figure

The following equation has how many solutions? \left|x-1\right|=7 ∣x−1∣=7

Answers

Answer:

Two solutions.

[tex]x = 8, -6[/tex]

Step-by-step explanation:

Given the equation:

[tex]\left|x-1\right|=7[/tex]

To find:

Number of solutions to the equation.

Solution:

First of all, let us learn about modulus function.

[tex]|x|=\left \{ {{x\ if\ x>0} \atop {-x\ if\ x<0}} \right.[/tex]

i.e. Modulus function changes to positive by adding a negative sign to the negative values.

It has a value equal to [tex]x[/tex] when [tex]x[/tex] is positive.

It has a value equal to -[tex]x[/tex] when [tex]x[/tex] is negative.

Here, the function is:

[tex]|x-1|=7[/tex]

So, two values are possible for the modulus function:

[tex]\pm(x-1)=7[/tex]

Solving one by one:

[tex]x-1 = 7\\\Rightarrow x =8[/tex]

[tex]-(x-1) = 7\\\Rightarrow -x+1=7\\\Rightarrow x = -6[/tex]

So, there are two solutions, [tex]x = 8, -6[/tex]

A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin8°=0.1392)

Answers

Take a look at this pic. And, if you have any doubt, just ask!

The vertical distance through which the car rises is 16.7 m

What is right triangle?

"It is a triangle whose one of the angle is 90°."

What is sine of angle?

In right triangle, for angle 'x',

sin(x) = (opposite side of angle x)/hypotenuse

For given example,

Consider the following figure for given situation.

A car travels 120 m along AC.

ΔABC is right triangle with hypotenuse AC.

∠C = 8°

Consider sine of angle C,

[tex]\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m[/tex]

Therefore, the vertical distance through which the car rises is 16.7 m

Learn more the sine angle here:

https://brainly.com/question/14553765

#SPJ2

7(x+1)=21 solve for x

Answers

7(x + 1) = 21
7x + 7 = 21
7x = 14
x = 2

If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0

Answers

It depends on how b approaches 0

If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.

On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.

The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.

A baby weighs 100 ounces. Find the baby's weight in pounds and ounces.​

Answers

Answer: 6 pounds, 4 ounces

Work Shown:

1 pound = 16 ounces

100/16 = 6.25

100 ounces = 6.25 pounds

100 ounces = 6 pounds + 0.25 pounds

-------

1 pound = 16 ounces

0.25*1 pound = 0.25*16 ounces

0.25 pounds = 4 ounces

------

100 ounces = 6 pounds + 0.25 pounds

100 ounces = 6 pounds + 4 ounces

100 ounces = 6 pounds, 4 ounces

A function of random variables used to estimate a parameter of a distribution is a/an _____.

A. unbiased estimator

B. statistic

C. predictor

D. sample value

Answers

Answer:

A. unbiased estimator.

Step-by-step explanation:

In Statistics, an estimator is a statistical value which is used to estimate a parameter. Parameters are the determinants of the probability distribution. Therefore, to determine a normal distribution we would use the parameters, mean and variance of the population.

A function of random variables used to estimate a parameter of a distribution is an unbiased estimator.

An unbiased estimator is one in which the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, an unbiased estimator captures the true population value of the parameter on average, this is because the mean of its sampling distribution is the truth.

Also, we know that the bias of an estimator (b) that estimates a parameter (p) is given by; [tex]E(b) - p[/tex]

Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).

Generally, in statistical analysis, sample mean is an unbiased estimator of the population mean while the sample variance is an unbiased estimator of the population variance.

Answer: B statistic

Step-by-step explanation:

it just is trust me

( 2x - 9) x ( x + 5 )

Answers

[tex]2x \times x + 2x \times 5 - 9 \times x - 9 \times 5[/tex]

[tex] {2x }^{2} + 10x - 9x - 45 [/tex]

[tex] {2x}^{2} + x - 45 [/tex]

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]\boxed{x=14}[/tex]

Reorder the terms:

[tex]-9 + 2x = 5 + x[/tex]

Solving

[tex]-9 + 2x = 5 + x[/tex]

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

[tex]-9 + 2x + -1x = 5 + x + -1x[/tex]

Combine like terms: [tex]2x + -1x = 1x[/tex]

[tex]-9 + 1x = 5 + x + -1x[/tex]

Combine like terms: [tex]x + -1x = 0[/tex]

[tex]-9 + 1x = 5 + 0\\-9 + 1x = 5[/tex]

Add '9' to each side of the equation.

[tex]-9 + 9 + 1x = 5 + 9[/tex]

Combine like terms: [tex]-9 + 9 = 0[/tex]

[tex]0 + 1x = 5 + 9\\1x = 5 + 9[/tex]

Combine like terms: [tex]5 + 9 = 14[/tex]

[tex]1x = 14[/tex]

Divide each side by '[tex]1[/tex]'.

[tex]x = 14[/tex]

Simplifying

[tex]x = 14[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

ASAP i need to know the complete working​

Answers

Answer:

a(1):30%

(2):2135.34

(3):15000

Step-by-step explanation:

a(1):the total is 18750 and 5625 was not taxed therefore 5625 of 18750 was not taxed so get the amount expressed as a percentage by multiplying by 100

{5625/18750}×100

(2):so get the tax from the taxable amount and the taxable amount is 13125 and the tax is 22% of it so (22/100)×13125=2887.5

she takes home the amount remaining after taxation so 18750-2887.5(tax)(don't subtract 5625)=15862.5

she receives the above amount in 52 equal amounts so divide 15862.5/52 to get one amount =305.048 (meaning that per week she receives one of the 52 equal amounts I guess)

(3):so the original salary before moving to A was 100% but after moving it increases by 25 so the salary is 125% =18750(don't deduct tax I guess) so it will be (100/125)×18750

20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8

Answers

Answer:

The answer is A pls mark me brainly

Which equation does NOT graph a line? A) y = 5 B) y = -3x3 C) y = 2/3 x D) y = −8x That 3 in b is an exponent btw

Answers

Answer:b

Step-by-step explanation:

Rocket science

A rectangular sheet of steel is being cut so that the length is four times the width the perimeter of the sheet must be less than 100 inches . Which inequality can be used to find all possible lengths,l.of the steel sheet

Answers

Answer:

w>10

length = 40

Step-by-step explanation:

Let

Width=w

Length=4w

Perimeter is less than 100 inches

Perimeter of a rectangle= 2( Length + width)

100 < 2(4w+w)

100 < 8w+2w

100 < 10w

w > 10

Length =4w

=4 × 10

=40 inches

Answer:

5/2l <100

Step-by-step explanation:

PLATO

write an equation of the perpendicular bisector of the segment joining a(-2,3) and b(4,-5).

A) 3x+4y=7 B) 3x-4y=-7 C) 3x-4y=7 D) -3x-4y=7 E) 4x-3y=7

Answers

Answer:

C) 3x - 4y = 7

Step-by-step explanation:

The midpoint of AB is

M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)

Line AB has slope:

(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3

Slopes of perpendicular lines are negative reciprocals.

A perpendicular to line AB has slope 3/4.

The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.

[tex] y - y_1 = m(x - x_1) [/tex]

[tex] y - (-1) = \dfrac{3}{4}(x - 1) [/tex]

[tex] y + 1 = \dfrac{3}{4}(x - 1) [/tex]

[tex] 4y + 4 = 3(x - 1) [/tex]

[tex]4y + 4 = 3x - 3[/tex]

[tex]3x - 4y = 7[/tex]

Answer:

C

Step-by-step explanation:

Segment joining a and b

m = 8/(-6) =-4/3

For that of the perpendicular bisector...

m = 3/4

Midpoint of Segment joining a and b

([-2+4]/2 , [3-5]/2)

=(1, -1)

y=mx+c

-1=(3/4)(1)+c

c= -7/4

y=3x/4 - 7/4

4y=3x - 7

3x-4y = 7

El siguiente diagrama A, B, C, D, E, F denotan islas, y las líneas de unión son puentes. El hombre empieza en A y camina de isla en isla. El hombre no puede cruzar el mismo puente dos veces. Hallar el número de maneras que puede hacer su recorrido antes de almorzar.

A-B-C-D
E-F

A esta conectado a B, B a C y C a D. B está conectado a E, C esta conectado a F y hay una linea que conecta E y C

Answers

Answer:

hey good

Step-by-step explanation:

What is the factorization of 2x^2 + 5x + 3?
A. (x+3)(x + 3)
B. (x+3)(x + 1)
C. (2x+3)(x + 1)
D. (2x + 3)(x + 3)

Answers

Answer:

( 2x +3) (x+1)

Step-by-step explanation:

2x^2 + 5x + 3

2 factors to 2 and 1

3 factors to 3 and 1

We need to get 5x in the middle

( 2x +3) (x+1)

A rectangle's length and width are in a ratio of 3:1. The perimeter is 72 inches. What are the length and width?

Answers

Answer:

Step-by-step explanation:

If the sides exist in a ratio to one another, then when you multiply some number x by both the length and the width, they still remain as a ratio. The length will be 3x and the width will be 1x. The perimeter formula is

P = 2L + 2W and since our perimeter is 72 and we have both the length and the width, we can fill in the formula and solve for x:

72 = 2(3x) + 2(1x) and

72 = 6x + 2x and

72 = 8x so

9 = x.

If x = 9, then 1x = 9 and 3x = 27. Let's check the perimeter against those side lengths.

P = 2(3x) + 2(1x) and

P = 2(27) + 2(9) and

P = 54 + 18 so

P = 72

and you're done! (The bold numbers above are the width and length, respectively.)

find the roots of the following equation X + 1 whole square minus x square equal to 2​

Answers

Answer:

x = 1/2

Step-by-step explanation:

Let's represent this in a mathematical way,

(x+1)^2 - x^2 = 2

Ok now we expand,

x^2 + 2x + 1 -x^2 = 2

rearrange,

x^2 - x^2 + 2x + 1 = 2

subtract,

2x + 1 = 2

subtract 1 from both sides,

2x + 1 - 1 = 2 - 1

2x = 1

Now divide 2 from both sides and get your answer,

x = 1/2

Answer:

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

[tex]x {}^{2} + 2x + 1 - x {}^{2} = 2[/tex]

[tex]2x + 1 = 2[/tex]

[tex]x = 1 \div 2[/tex]

What is the rate of change of the function? On a coordinate plane, a line with negative slope goes through points (0, 1) and (1, negative 1). –2 Negative one-half One-half 2 Mark this and return

Answers

Answer:

-2

Step-by-step explanation:

slope: (y² - y¹) / (x² - x¹)

(-1 - 1) / (1 - 0) = -2 / 1 = -2

y = -2x + b

plug in an (x, y) value to find b

1 = -2(0) + b

1 = -2 + b

b = 3

y = -2x + 3

rate of change is -2

Answer:

-2

Step-by-step explanation:

What is -13/20 in decimal form

Answers

Answer:

-0.65

Step-by-step explanation:

Step 1: Write out fraction

-13/20

Step 2: Evaluate fraction

-13/20 = -0.65

Work out the mean for the data set below: 3, 5, 4, 3, 5, 6 Give your answer as a fraction. answer

Answers

Answer:

4 1/3

Step-by-step explanation:

3 + 5 + 4 + 3 + 5 + 6 = 26

26/6 = 4 2/6 (4 1/3)

Answer:

13/3

Step-by-step explanation:

To find the mean, add up all the numbers and divide by the number of terms

( 3+5+4+3+5+6) /6

26/6

Divide top and bottom by 2 to simplify the fraction

13/3

A, B, C, D, E, F, ... 2, 3, 5, 7, 11, 13, ... what number is the letter Z replaced with?

Answers

Answer:

Z=101

Step-by-step explanation:

A=2

B=3

C=5

D=7

E=11

F=13

From the above illustration, it can be deduced that A to Z represent prime numbers in ascending order.

Prime numbers are natural numbers that are greater than 1 and are only divisible by 1 and itself.

Therefore,

G=17

H=19

I=23

J=29

K=31

L=37

M=41

N=43

O=47

P=53

Q=59

R=61

S=67

T=71

U=73

V=79

W=83

X=89

Y=97

Z=101

If a 15% discount is applied to a 15,000,000 car, what will its price be.

Answers

Answer:

$12,750,000

Step-by-step explanation:

15,000,000 x 0.15 = 2,250,000

15,000,000 - 2,250,000 = 12,750,000

Answer:

12750000

Step-by-step explanation:

[tex]15\% \: discount \:on \: 15,000,000\\\\= \frac{15}{100} \times 15,000,000\\\\\\= \frac{225000000}{100}\\ \\= 2250000\\\\15 000 000 - 225 0000= 12750000[/tex]

Other Questions
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