Solve log 2x^2 + 2 = 6. Round to the nearest thousandth if necessary.

Answers

Answer 1

Answer:

x = 70.71

Step-by-step explanation:

log 2x² + 2 = 6.

log 2x² + log 100= log 10⁶.

2x² × 100 = 10⁶

2x² = 10⁶/100

2x² = 10⁴

x² = 10⁴/2

x² = 5000

x = √5000

x is approximately 70.71

x = 70.71


Related Questions

PQR has vertices at P(-10, 8), Q(0, -6),
and R(8, 7). If PQR is dilated by a scale
factor of 3/4, what is the perimeter of
P'Q'R'?
If necessary, round your answer to the
nearest hundredth. *

Answers

Answer:

please apply the formula of distance

l think but not sure

find the area of the shaded regions. give the answer as a completely simplified exact value in terms of pi (no approximations)

Answers

Answer:

a = 40π

Step-by-step explanation:

a = (∅/360) * πr²

a = (144/360) * π(10)²

a = 40π

Find the mean of the picture below?

Answers

The believe mean is four

Can someone help me with this?

Answers

Answer:

d and e

Step-by-step explanation:

PLSS HELP: Find the value of w

Answers

Answer:

[tex] \frac{9}{w} = \frac{15}{5} \\ w = 45 \div 15 = 3[/tex]

SNACKS The face of the popcorn box can be modeled with an isosceles trapezoid with QR=3x+2.5, RS=9x−4.8 , ST=4x−2 , and QT=6x+1.2.

Answers

Answer:

TQ=SR [since it is isosceles trapezoid]

6x+1.2=9x-48

48+1.2=9x-6x

3x=49.2

x=49.2/3=16.4

now

QR=3×16.4+2.5=51.7

SR=9×16.4-48=99.6

ST=4×16.4-2=63.6

TQ=6×16.4+1.2=99.6

As it's isosceles trapezoid

QT=RS9x-4.8=6x+1.23x=6x=2

Now

QR=3(2)+2.5=8.5

RS=9(2)-4.8=13.2

ST=4(2)-2=6

QT=6(2)-1.2=10.8

A piece of string is 325 centimeters long. You need the string to be 1 and 1 and 4 meters long. How many centimeters should you cut off?

Answers

Here's link[tex]^{}[/tex] to the answer:

bit.[tex]^{}[/tex]ly/3gVQKw3

Find the mean, median, and interquartile for the data set below.
17, 23, 8,5,9,16, 22, 11, 13, 15, 17, 18

Answers

Answer:

The Mean 14.5 and the Median is 15

Step-by-step explanation:

For the Mean you just add all the numbers up and divide on how many you have. And the Median the middle

Answer:

Below in bold.

Step-by-step explanation:

First arrange in ascending order:

5 8 9 11 13 15 16 17 17 18 22 23

Median = mean of the middle 2 values = (15+16)/2 = 15.5.

Mean = Sum of all the values / 12 = 174/12 = 14.5.

Interquartile range =  upper quartile - lower quartile = 17 - 11 = 6.

Which function in vertex form is equivalent to f(x) = x2 + x +1?
5
ORX) = (x + 4+1
RX) = (x + 1) +
ORX) = (x + 1) +
O Rx) = (x + 1) +
3
5

Answers

Answer:

3rd option is correct

Step-by-step explanation:

:)

The vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]

Vertex form of an equation

Given the expression [tex]f(x) = x^2 + x +1[/tex]

The vertex form is expressed as shown below:

[tex]f(x) = x^2 + x +1\\f(x) = x^2 + x + 1^2 +1 - 1^2\\f(x) = (x+1)^2 - 0[/tex]

Express the result in vertex form.

[tex]f(x) = (x+1/2)^2 + 3/4[/tex]

Hence the vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]

Learn more on vertex form here: https://brainly.com/question/525947

7) The ratio of boys to girls in a class is 2:3. If there are 18 boys in the class, how
many girls are in that class?

Answers

Answer:

27

Step-by-step explanation:

Boys to girls is 2:3

and there are 18 boys so that means the 2 in 2:3 is actually 18

and 2 x 9 = 18 , so you would need to also multiply 3 by 9.

3 x 9 = 27

18:27

there are 27 girls

A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in the nearest minute.

Answers

Answer:

79 minutes

Step-by-step explanation:

A plane is travelling at 180 meters per seconds

Convert to km/hr

180× 18/5

= 648 km/hr

Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is

= 1/648 × 800

= 1 hour 19 minutes

Conver the time to full minutes

60 minutes = 1 hour

= 60+19

= 79 minutes

Hence the minutes required for the plane to travel 800km is 79 minutes

Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the other. The Field is 110m long. How long does the ball take to get from one end of the field to the other if it traveled at the same speed the entire time?

Answers

Answer:

[tex]t=3.142sec[/tex]

Step-by-step explanation:

From the question we are told that:

Speed of ball [tex]V=35m/s\approx 80 mph[/tex]

Length of field [tex]l=110m[/tex]

Generally the equation for Time taken [tex]t[/tex] is mathematically given by

 [tex]t=m/V[/tex]

 [tex]t=110/35[/tex]

 [tex]t=3.142sec[/tex]

 [tex]t \approx \frac{3.142}{60}[/tex]

 [tex]t \approx 0.05hrs[/tex]

Therefore it will take the ball to get from one end of the field to the other

[tex]t=3.142sec[/tex]

What is the probability of spinning a number greater than 4 or an odd number?

Answers

Answer:

3/5 will be greater than 4 while 1/2 will be an odd number.

What is 12.57 Rounded to the nearest hundredth?

Answers

Answer:

12.60

Step-by-step explanation:

give brainliest and 5 star and thank!

A community pool charges $78 for swim lessons and a $2 towel rental fee per day. At the end of the summer Yolanda spends $102. How many days did Yolanda go for swim lessons?

Answers

Answer: 12 days

Step-by-step explanation:

Given

A community pool charges $78 for a swim lesson and $2 for a towel each day

Suppose Yolanda attended the session for x days

So, we can write the total fees of $102 as

[tex]\Rightarrow 102=78+2x\\\Rightarrow 2x=102-78\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12[/tex]

So, Yolanda attended the swim lessons for 12 days

Find the area. Simplify your answer

Answers

Answer:

man you still have to use IXL

Step-by-step explanation:

find the value of x in the triangle shown below 4 9

Answers

where is the triangle?

Answer:

the answer is 65

Step-by-step explanation:

hopes this helps :)

What is the range of y= x + 2?

Answers

Answer:

A) all real numbers greater than or equal to 2

Domain: [tex]x\geq 0[/tex]

Step-by-step explanation:

The variable in the radical x cannot be less than 0 as that wouldn’t be defined. So, the maximum that x can be is 0, and [tex]y=x+2[/tex]. So, 0+2=2, and y is greater than or equal to 2.

Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.

ANSWER plsssssssssssssssssssssssss!

Answers

Answer:

503

Step-by-step explanation:

PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

If the domain (or pre-image) of a function that is translated up 5 is (-1, 8), (-2,4), (-1, -7), what is
the range (or image)?

Answers

Answer:

The image of the given points after the translation is;

(-1,13) , (-2,9) and (-1,-2)

Step-by-step explanation:

By translating vertically to the tune of 5 units, what we have done is to add 5 units to the y-axis value

so for (-1,8); it will become (-1, 8 + 5) = (-1,13)

for (-2,4); it will become (-2,4 + 5) = (-2,9)

for (-1,-7); it will become (-1,-7+ 5) = (-1,-2)

Help please please help me I really really need help

Answers

Answer:

(-3, -2)

Step-by-step explanation:

To find the solution of two functions, you need to know at which x and y value they are equal. So solve for x and y when 1/3x - 1 = 2x + 4

1/3x - 1 = 2x + 4

First, subtract 2x from both sides.

-5/3x - 1 = 4

Add one to both sides.

-5/3x = 5

Multiply both sides by the reciprocal of -5/3 (3/-5)

x = -3

Then, substitute x into one of the equations to get y.

1/3(-3) - 1

-1 - 1 = -2

So drag the dot to the point (-3, -2)

On February 18, from 9 a.M. Until 2 p.M., the temperature rose from -14°F to 36°F. What was the total increase in temperature during this time period?

Answers

Answer: 50 degrees

Step-by-step explanation:

36 - - 14

36 + 14 = 50

25 p ² + 70p+49=0
Answer please
Answer please

Answers

Step-by-step explanation:

25 p² + 70p +49=0

(5p + 7)(5p + 7) = 0

(5p + 7) =0

5p = -7

so, P = -7/5


What is 2 x 1,000 + 6 x 100 + 5 x 10 + 3 x 1 in standard form?

Answers

Answer:

Step-by-step explanation:

2006053?

Answer:

2,000 + 600 + 50 + 3 = 2,653

Step-by-step explanation:

how many ways can you arrange 28

Answers

Answer:

In 6 ways 28 can be arranged

Step-by-step explanation:

1 × 28 = 28

2 × 14 = 28

4 × 7 = 28

7 × 4 = 28

14 × 2 = 28

28 × 1 = 28

Thus, In 6 ways 28 can be arranged

-TheUnknownScientist

find 18.2% of 25000
please and fast I'm in assessment​

Answers

Answer:

4550

Step-by-step explanation:

Answer:

Step-by-step explanation:

18.2% of 25000 = 4550

Which of the following rational numbers is closest to V7 ?
2.1
2.5
2.6
3.5

Answers

2.6

Explanation:

The square root of 7 is 2.6 .
It is 2.6 I took the test already and got 100

samuel can do 9 word problem s in 25 minutes at this rate about how many word problem can he do in 42 minutes​

Answers

Answer:

15 word problems

Step-by-step explanation:

Given that

Samuel can do 9 word problems in 25 minutes

So we need to find out how he can do the word problems in 42 minutes

The calculation is given below;

= 9 × 42 minutes ÷ 25 minutes

= 15.12

= 15 word problems

Hence, the same would be considered and relevant

a) Complete the table of values for x + y = 6
X
-2
-1
0
1
3
N
у

Answers

Step-by-step explanation:

Given equation is x+y=6

Table:-

[tex]\boxed{\begin{array}{c|c|c}\bf x &\rm 3 &\rm 2 &\rm 1\\ \bf y &\rm 3 &\rm 4 &\rm 5\end{array}}[/tex]

A line segment passing through the centre of the circle and
having its two end points on
the circle is called

Answers

Answer:

Diameter

Step-by-step explanation:

Diameter a line segment passing through the centre of a circle and having its endpoints on the circle is called a diameter of the circle.

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