Solve (x - 3)^2+7=97, where X is a real number. Round your answer to the nearest hundredth.​

Answers

Answer 1

Answer:

x ≈ - 6.49, x ≈ 12.49

Step-by-step explanation:

Given

(x - 3)² + 7 = 97 ( subtract 7 from both sides )

(x - 3)² = 90 ( take the square root of both sides )

x - 3 = ± [tex]\sqrt{90}[/tex] ( add 3 to both sides )

x = 3 ± [tex]\sqrt{90}[/tex]

Then

x = 3 - [tex]\sqrt{90}[/tex] ≈ - 6.49 ( to the nearest hundredth )

x = 3 + [tex]\sqrt{90}[/tex] ≈ 12.49 ( to the nearest hundredth )


Related Questions

WILL GIVE BRAINLIEST!!!
when you raise a number to the power with the exponent 1/2 you get it's___
A. root
B.square root
C.principal square root
D.half value

Answers

Answer:

I guess B....................

Answer:

B. square root

Step-by-step explanation:

for example

81 raise to power 1/2 is 9

square root of 81 is 9

Please help me with this,I will give you brainliest (only if you anwser first)

Answers

79.56 would be the answer, (i’m pretty positive) because you take all three numbers and you multiply them together.

A class has 12 girls and 18 boys. What is the probability that a boy raises his hand and asks to go to the bathroom given a girl already left the room to go to the bathroom?

Answers

Answer:

The answer is  [tex]\frac{18}{29}[/tex]

Explanation:-

Total number of students = 12 + 18 = 30

Total number of students after one girl left = 29

Number of boys = 18

Probability that a boy raises his hand and asks to go to the bathroom =

Number of boys divided by total number of students

[tex]\frac{18}{29}[/tex]

PLEASE HELP ME IN GEOMETRY, IVE BEEN STUCK FOR HOURS!!!

Answers

Answer:

A

Step-by-step explanation:

the answer is A.

Hope this helps


A circle has a circumference of 37 millimeters. What is the circle's
radius? Use 3.14 for pi and round your answer to the nearest tenth.

Answers

Answer:

5.9

Step-by-step explanation:

To find radius from circumference you need to divide it by pie. So 37 divided by 3.14 is 11.7834394904. This is the diameter. Now divide it by 2, in this case it is 5.89171974522. When you round to the nearest tenth it gives you 5.9. Hope this Helps!

ANSWER FOR BRAINLEST AND 10 POINTS

Answers

Answer:

0.05

Step-by-step explanation:

Hi! Ok, let's get started!

5 to the power of -2 is like dividing 5 by 10 to the second power.

That becomes 5 / 100 = 0.05

Hope that helps! :)

-Aphrodite

A water container in the shape of a cone has a height of 5 inches and a diameter of 3.5 inches.
Enter an equation in the first blank box and a number in the second blank box to complete the statements about the
water container ___.
A. The formula to calculate the container's volume, V, with the given measurements is
B. The container can hold approximately ___ cubic inches of water. Round your answer to the nearest hundreth.

Answers

Answer

A. The formula to calculate the container's volume, V, with the given measurements is ⅓ π(1.25²)5.

B. The container can hold approximately 8.177 cubic inches of water. Round your answer to the nearest hundredth.

Step-by-Step Explanation

A. The formula to calculate any cone's volume is ⅓ πr²h. Replace the variables with the actual values of the cone. r stands for the cone base's radius, or half of the diameter. Because the diameter is 3.5, the radius is 1.25, or half of it. The h stands for the height of the cone. Now we can plug in the values. Our answer for this part is ⅓ π(1.25²)5.

B. Now to solve our equation. [tex]1.25^2[/tex] is equal to 1.5625. Now, multiply by the height. 1.5625 x 5 is equal to 7.8125. We now multiply by [tex]\pi[/tex]. We'll use 3.14 to shorten the answer a bit. Multiply 7.8125 by 3.14 and you'll get 24.53125. Last but not least, divide this by 3 (or multiply by [tex]\frac{1}{3}[/tex]). [tex]\frac{24.53125}{3}[/tex] = 8.1770833333... We now must round this to the nearest hundredth. This makes our final answer 8.177 [tex]in^3[/tex].

PLEASE HURRY I REALLY NEED TO TURN IT IN

Answers

Answer:

55

Step-by-step explanation:

Put the one shape and split it into two other shapes. A square and a triangle.

find the areas of both of the shapes and add them together.

5×5=25

5×12=60/2 = 30

25+30=55

Answer:

55 units²

Step-by-step explanation:

The area of this shape would be the area of a square with sides 5 and a triangle with a base of 5 and a height of 12

To find the area of this shape, add the area's of the two shapes

This would be written as:

[tex]5^{2} +\frac{5*12}{2} \\ =25+(5*6)\\ =25+30\\= 55[/tex]

Been trying to get help on this for a long time Any help ?

Answers

Answer:

the answer is 10.8 feet because I said so on foenem

need help with this math problem asap!!
marking brainliest and giving points ​

Answers

Answer:

Solution given:

y=2x-5......1.

y=-3x+10.....2.

equating equation 1 &2

2x-5=-3x+10

2x+3x=10+5

x=15/5

x=3

again

y=2×3-5=1

so

x,y=3,1 is your answer.

pls help i will give brianllent for the best answer. Ted owns 3 surfboards and 2 wet suits. If he takes one surfboard and one wet suit to the beach, how many different combinations can he choose?

Group of answer choices

5

12

6

4

Answers

6, 3 surfboard per wet suit

Answer:

6

Step-by-step explanation

3x2=6

please help me with maths !!!

A fish was at the river-bed at a certain time. After 5 minutes, the water level of the river rose
up 2.4 cm and the water level of the river rose up again 3½cm after 4 minutes. The moment, the fish was at 14.6 cm from the river-bed and 162 cm below water level of the river.

Calculate the original height, in cm, of the water level of the river.​

Answers

Answer:

170.7 cm

Step-by-step explanation:

Let the original water level is x.

Use below equation to find its value:

x + 2.4 + 3 1/2 = 162 + 14.6x + 2.4 + 3.5 = 176.6x + 5.9 = 176.6x = 176.6 - 5.9x = 170.7 cm

PLS HELP ME ASAP NOW PLS ILL GIVE EXTRA POINTS PLE HELP ME

Answers

Answer:

your not showing the whole thing

Step-by-step explanation:

Please help!!
You rent an apartment that costs $1800 per month during the first year, but the rent
is set to go up 11.5% per year.
What would be the rent of the apartment during the
10th
year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

Answer:

Rent in 10th year = $5345.90

Step-by-step explanation:

Rent of apartment during first year = $1800 per month

But growth in rent with 11.5% per year will be represented by the exponential function,

Rent in 't'th year = [tex]\text{Initial rent}(1+\frac{\text{Growth rate}}{100})^{\text{time}}[/tex]

                          = [tex]1800(1+\frac{11.5}{100})^t[/tex]

                          = [tex]1800(1.115)^t[/tex]

Therefore, rent during 10th year will be,

Rent in 10th year = [tex]1800(1.115)^{10}[/tex]

                            = $5345.90

Answer:

4794

Step-by-step explanation:

PLEASE HELP!!! There is a zombie apocalypse and Rick and Daryll decide to go zombie hunting. They begin by walking 100 yards north from their base then they hear something to the right. They make a 90 degree turn to the right and walk another 100 yards. Rick and Daryll don't want to go too far from where they started. How far are they from their starting point?

Answers

Answer:

they should be either 150 yards away or 200 yards away.

Step-by-step explanation:

Btw The walking dead was a good choice

What is the solution to x^ 3 + 4x^ 2 > x + 4? –4 < x < –1 –4 < x < 1 –4 < x < –1 or x > 1 x < –4 or –1 < x < 1

Answers

Answer:  did you make this up? cause i’m confused ‍♀️

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

1/3(x+9)=8 Please help

Answers

Answer:

I got x=15, Hope this helps!

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

[tex] \frac{1}{3} \times (x + 9) = 8 \\ \frac{x}{3} + \frac{9}{3} = 8 \\ \frac{x}{3} + 3 = 8 \\ \frac{x}{3} = 8 - 3 \\ \frac{x}{3 } = 5 \\ x = 3 \times 5 \\ x = 15[/tex]

What is the definition of the slope of a line?

Answers

The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
In mathematics the slope or gradient of a line is a number that describes both the direction and the steepness of the line

Ana vacía una botella de agua llenando exactamente seis vasos de la misma clase. Decide cambiar los vasos y ahora para vaciar los vasos necesita veinticuatro vasos. ¿Con cuántos vasos de esta segunda clase vaciará uno de la primera?

Answers

Answer:

Se pueden llenar 4 vasos nuevos de segunda clase con agua de 1 vaso previamente llenado.

Step-by-step explanation:

Spanish

Hay 6 vasos llenos.

Quiere llenar 24 vasos con la misma agua que en los 6 vasos.

El número de vasos nuevos llenados por cada vaso viejo será = 24/6 = 4

Se pueden llenar 4 vasos nuevos de segunda clase con agua de 1 vaso previamente llenado.

English

There are 6 glasses filled.

He wants to fill 24 glasses with the same water as in the 6 glasses.

The  number new glasses  filled for each old glass will be= 24/6= 4

4 new second class glasses can be filled by water from 1  previously filled glass.

What is the value of x in the equation -6 + x = -1?
-5
-7
7
5

Answers

D) 5

Mark if correct!

Answer:

x = 5

Step-by-step explanation:

... -6+5 = 1

..... you can draw a number line and move ( -6) 5 units to the right and you'll get (-1).

x-11/(1/7)= -1 bjkgipbgiukffgk

Answers

Answer:

sorry but I think your question is not correct

1. Invert and multiply.
x − 11 • 7 = −1
x − 11 • 7 = −1

2. Simplify 11×7 to 77.
x − 77 = −1

3. Add 77 to both sides.
x = −1 + 77

4. Simplify −1 + 77 to 76.
x=76

If 6 bales are needed to feed 20 head of cattle, how many bales are needed to feed 100 head of cattle?

Answers

Answer:

333

Step-by-step explanation:

Answer:

the answer is 30

Step-by-step explanation:

[tex]100 \div 20 = 5 \\ 6 \times 5 = 30[/tex]

what us 8.4 x 10^5 in standard notation​

Answers

Answer:

8x

Step-by-step explanation:

8x

Find the missing side.

Need help please.
I need explanation for the answer please

Answers

Answer:

x ≈ 11.1

Step-by-step explanation:

Using the sine ratio in the right triangle

sin59° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{13}[/tex] ( multiply both sides by 13 )

13 × sin59° = x , then

x ≈ 11.1 ( to the nearest tenth )

Answer:

11.14 to nearest hundredth.

Step-by-step explanation:

sine = opposite side/ hypotenuse so here we have:

sin 59 = x/13

x = 13 sin 59

= 11.143

last year borris paid 256

Answers

for what.. could you finish the question ?

the dot plot shows the number of hours that 40 students studied each week make a statement that describes the overall pattern of the data in the plot. support your statement by describing clusters,gaps and/or peaks

Answers

Answer:

ther is no dot plot

Step-by-step explanation:

The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Which statement is best supported by the data in the dot plots?

A The range for Daniel's data is greater than Sam's range.

B The median for Daniel's data is the same as the median for Sam's data.

C The range for Daniel's data is the same as the range for Sam's data.

D The median of Sam's data is greater than the median of Daniel's data.

Answers

Answer:

B.

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.

can someone please help me

Answers

Answer:

Step-by-step explanation:

. John buys 3 balloons for $4.80 at Party Town. Karyn buys 4 balloons for $6 at Celebrate City. How much more did John pay per individual balloon? А $1.60 B $1.50 C $1.10​

Answers

Answer:

John paid $1.60 per balloon while Karyn pain $1.50 per balloon.

Step-by-step explanation:

4.80 divided by 3 = 1.60

6 divided by 4 = 1.50

please help me somebody! <3

Answers

Answer: 85 m + 20

Step-by-step explanation:

Make fractions have same, common denominator. LCD = 40

7/8 = 35/40

9/10 = 36/40

2/5 = 16/40

3/1 = 120 / 40

[tex]\frac{35}{40}m+\frac{36}{40}-\frac{120}{40}m - \frac{16}{40}[/tex]

35m + 36 - 120m - 16

85 m + 20

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