log 7 (x2 + 11) = log 7 15

Answers

Answer 1

x = 2

Step-by-step explanation:

Since sides have the same base (7), then we can simply write

[tex] {x}^{2} + 11 = 15[/tex]

[tex] {x}^{2} = 4[/tex]

or

[tex]x = 2[/tex]


Related Questions

Which inequality represents all numbers x on a number line that are farther from −8 than from −4?

Answers

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

An angle measures 104° more than the measure of its supplementary angle. What is the measure of each angle?
___° and ___°

thank you <3 best answer will get brainliest.

Answers

Mark Brainliest please

Answer:

38 degrees

Step-by-step explanation:

Let the angle be x

Supplement:: 180-x

Equation:

x = 180-x + 104

2x = 284

x = 142 degrees

therefore , 180-x = 180-142= 38 degrees

Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.

Percent increase ≈
%

Answers

Answer:

10

Step-by-step explanation:

Which points are on the graph of the function rule f(x) = 10 - 4x

Answers

It’s the second one
Anwser: The second!

Explanation:

whatcha of the following is the quotient of

Answers

Answer:

(2y+3)

Step-by-step explanation:

Find the vertex of the graphed function.
16= \x - 4 +3
2
The vertex is at

Answers

Answer:

16=/-4+3+2

16=/-1jhcdf why

hyee852iok

HII CAN SOMEONE PLEASE HELP ME, this is my final exam ... Which equation describes the line with slope 4 that contains the point (7,2)?
A. y + 2 = 4(x + 7)
B. y - 7 = 4(x - 2)
C. y+ 7 = 4(x + 2)
O D. y - 2 = 4(x - 7)

Answers

Answer:

I believe it is D

Step-by-step explanation:

I used desmos

Answer:

D

Step-by-step explanation:

Due to the coordinate being positive in both x and y, then you know by putting the numbers in the equation that they will bot subtract from their variable


[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form​

Answers

Answer:

[tex]4(3x)^{\frac{3}{2} }[/tex]

Step-by-step explanation:

4(3x) 3/2
hope that helps

How many-foot pieces of wood
can you cut from a board that is
6 feet long?

Answers

Answer:

6

Step-by-step explanation:

Foot long = 1 foot

6 / 1 = 6 foot pieces

You could get 6 pieces of wood

If the entire board is 6 feet long and you wanted to cut it into 1 foot intervals, you would do 6/1 and get 6

use the following picture to classify the following statements as true or false

Answers

True:

BC ≈ EF

BAC ≈ EDF

ABC ≈ DEF by ASA

AC ≈ DF


Not True:

ABC ≈ FDE

ABC ≈ DEF by AAS

Assume that Y is normally distributed with mean μ and standard deviation σ. After observing a value of Y, a mathematician will construct a rectangle with length L = |Y|and width W = 3 |Y|. Let A denote the area of the resulting rectangle. What is E(A)?

Answers

It would be 3L and ea poroption thanks for the points

Please give me the right answer me going onto my sophomore year depends on this

Answers

Answer: 5.5. if you divide you will clearly see it is 5.5 so D

Step-by-step explanation:

Actividad N°2: Marque la alternativa correcta en la siguiente pregunta.
Sea una función tal que () = 7 − 3 cuyo dominio es el conjunto () =
{−1, 0, 1, 2, 3}, entonces el () es:
5 PUNTOS
A) () = {−2, 1, 4, 7, 10}
B) () = {−1, 0, 1, 2, 3}
C) () = {4, 7, 10, 13, 16}
D) () = {1, 2, 3, 4, 5}
E) () = {−16, −13, −10, −7, −4}

Answers

Answer:

Hola busco amigos

Perdí mi otra cuenta

Ayúdame y te ayudo con tus tareas

¿ si?

Step-by-step explanation:

A club is choosing 2 members to serve on a committee. The club has nominated 3 women and 3 men. Based on chance alone, what is the probability that one woman and one man will be chosen to be on the committee

Answers

Answer: 0.6

Step-by-step explanation:

Given

There are 3 women and 3 men available to form a 2 member committee.

No of ways, a man can be chosen are [tex]3[/tex]

Similarly, no of ways a woman can be chosen are 3

Therefore, probability of choosing 2 members i.e. 1 man and 1 women is

[tex]\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}[/tex]

If the order matter, then

[tex]\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6[/tex]

The probability that 1 woman and 1 man will be chosen is "0.6".

According to the question, the club has nominated:

Number of women = 3 Number of men = 3

Now,

→ The number of ways to select two persons from 6 will be:

= [tex]\binom{6}{2}[/tex]

hence,

The probability that one woman and one man will be chosen will be:

→ [tex]P(1 \ women \ and \ 1 \ women) = \frac{\binom{3}{1} \binom{3}{1}}{\binom{6}{2}}[/tex]

                                              [tex]= 3\times \frac{3}{15}[/tex]

                                              [tex]= \frac{9}{15}[/tex]

                                              [tex]= 0.6[/tex]

Thus the above answer is right.

Learn more:

https://brainly.com/question/13419138

seven more than the quotient of a number and 2 is equal to 3 equation ​

Answers

Answer:

Step-by-step explanation:

seven more than the quotient of a number and 2 is 10

7+n/2=10 n=6 check 7+3=10 ok

Can you figure out what the area of this shape is?

Answers

Answer:

22 units

Step-by-step explanation:

split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units

(3/6) to the power of 2 + 7 x 4 - 5​

Answers

Answer:

0.00000003

Step-by-step explanation:

2+ 7 * 4 - 5 = 25

(3/6) ^ 25 = 0.00000003

Thats easy 67 because since it is to the power 2+7 and more it will give u results

pls help me out in this assignment PLSSSSS anyone plss​

Answers

Answer:

what number?

number three or number two

Which one do you need help with???

3.
Use the concept of a series to sum up 0.315+0.000315+0.000000315+.... Give your final answer
in reduced fraction form. Note: There are several methods to prove this fact. I am specifically asking
you to use a series.

Answers

Dividing each term in the given series by 0.315 reveals a simple geometric sum,

0.315 (1 + 1/1,000 + 1/1,000,000 + …)

or

0.315 (1 + 1/10³ + 1/10⁶ + …)

or

[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]

i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that

[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]

if |r | < 1. This is the case here, so

0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)

… = (315/1000) / (999/1000)

… = 315/999

… = 35/111

A coin is flipped 8 times. Find the probability of the event:

exactly 6 heads

Answers

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row

Plz help me solve this

Answers

X=-3 is your answer

simplify the equation, cancel equal terms, move constant to the right, calculate, divide both sides !!!!

Answer: x=-3

Step-by-step explanation:

First let's eliminate the square root

[tex](\sqrt{x^2-5x+2})^2=(\sqrt{x^2+17})^2\\x^2-5x+2=x^2+17[/tex]

Now subtract [tex]x^2\\[/tex] from both sides

[tex]x^2-5x+2-x^2=x^2+17-x^2\\-5x+2=17[/tex]

Subtract 2 from both sides

[tex]-5x+2-2=17-2\\-5x=15[/tex]

Finally divide both sides by -5

[tex]\frac{-5x}{-5} =\frac{15}{-5} \\x=-3[/tex]

match each step to its justfication to solve 2x+5=19.

Answers

Step-by-step explanation:

x=7 (given)

2x=14 (divide)

2x+5-5=19-5 (subtraction property of equality)

2x/2=14/2 (divide)

2x + 5=19 (division property of equality)

Match each three dimensional figure to its volume based on the given dimensions.

Answers

please attach a diagram

Find the maximum or minimum value of y = 3x² + 7x + 9 by completing the squares state the value of x at which the function is maximum or minimum.​

Answers

Answer:

The minimum is 59/12

Step-by-step explanation:

you should calculate the -b/2a = -7/6

you should put -7/6 in the x variable

-2 (x + 3z) + 4x - 3y + 2z​

Answers

Answer:

-2 (x + 3z) + 4x - 3y + 2z​

-2x-6x+4x-3y+2z

2x-4z-3y

hope it helps...

have a nice day!

Answer:

please answer is then you thanks me

Step-by-step explanation:

-2(x + 3z) + 4x - 3y +2z

-2x -6z + 4x - 3y + 2z

=2x - 4z - 3y

WILL GIVE BRAINLIEST
4
3
2x + 4
x+7

Answers

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{x+7}{3} =\frac{2x+4}{4}[/tex]

do cross multiplication

[tex]3(2x+4) = 4(x+7)\\6x + 12 = 4x + 28\\6x - 4x = 12 - 16\\2x = 16\\x = 16/2\\x = 8[/tex]

Historically, the average diameter of the holes drilled has been 0.25 cm and the average range has been 0.10 cm. Samples of size 4 will be collected. For the R-chart, what is the value of upper control limit

Answers

Solution :

Given the average range of the holes drilled = 0.10 cm

The average diameter of the holes drilled = 0.25 cm

The sample size = 4

For the sample size of 4, the factor for control limit for the range ([tex]D_4[/tex]) = 2.28  (From the table of constants for X-bar and R-chart)

The upper control limit for the R-chart = R-bar x [tex]D_4[/tex]

                                                                = 0.10 x 2.28

                                                                = 0.228

Therefore, the answer is greater than 0.202 but less than or equal to 0.302

What is the common ratio for the geometric sequence below, written as a fraction?

768, 480, 300, 187.5, …


/

Answers

9514 1404 393

Answer:

  5/8

Step-by-step explanation:

Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.

  r = 480/768 = (5·96)/(8·96) = 5/8

The common ratio is 5/8.

how do i solve this problem

Answers

Answer:

Exponential function have a horizontal asymotote. The equation of the horizontal asymptote is y=0.Step-by-step explanation:

Find the equation of a line that contains the points (0,0) and (6,−7). Write the equation in slope-intercept form, using fractions when required.

Answers

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

[tex] \large \boxed{y = mx + b}[/tex]

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

[tex] \large{y = - \frac{7}{6} x + b}[/tex]

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]

Answer

y = -7x/6

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

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