what two decimal
are between the square root of 62

Method used:-

Completing the square method.

Steps :-

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

Now, make the left hand side of the equation by adding the square of ½ to both sides of the equation.

[tex]x^{2}+x+\left(\frac{1}{2}\right)^{2}=\left(\frac{1}{2}\right)^{2} \\x^{2}+x+\frac{1}{4}=\frac{1}{4} \\\left(x+\frac{1}{2}\right)^{2}=\frac{1}{4} \\\sqrt{\left(x+\frac{1}{2}\right)^{2}}=\sqrt{\frac{1}{4}} \\[/tex]

Simplify the equation. You'll get a +ve & -ve value.

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

Simplify it further.

[tex]\boxed{\sf\:x=0}\\ \boxed{\sf\:x=-1 }[/tex]

The solutions are :-

x = 0 & x = -1

______

Hope it helps ⚜

Answer: NO GAIN for the shopkeeper

Step-by-step explanation:

20/100 *5000=1000

Answer:

The abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering ( applied mathematics )..

Ex :- Plus , minus

Mathematics is a very important field of study in human society that can be described as the study of:

Mathematics is a science and one that is constantly evolving to allow us better understand our surroundings.

There are several ways to study the subjects described above such as by applying them to things such as engineering and other sciences, or simply studying them on their own.

In conclusion, math is a science of numbers.

Find out more on mathematics at https://brainly.com/question/14473572.

Using the power rule for differentiation, the first derivative of

[tex]f(x) = -x^{\frac12}[/tex]

is

[tex]f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}[/tex]

and the second derivative is

[tex]f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}[/tex]

which makes E the correct choice.

Answer:

C.

Step-by-step explanation:

Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).

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

Answer:

first one

Step-by-step explanation:

Answer:

(1,-1)

Step-by-step explanation:

Answer:6_1/4

Step-by-step explanation:

They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.

This means that you just have to divide 18_3/4 bu 3, which is 6_1/4

Answer:

Okay, to graph this equation we need to graph the y-intercept first.  This time its 7 for you, meaning 0,7.  So graph (0,7) as your first point.  Then we have your slope, which is -2/3`.  So, from (0,7) we will do rise/run.  So, our next point will be (3,5).  We went down 2 and ran 3.  Since its negative, we went DOWN.

-

if you want a third point, just ask!

-

Hope this helps.

-

<3

Answer:

$8,698.50

Step-by-step explanation:

289.95x30= $8,695.50

Complementary angles have a submission of 90 degrees thus :

[tex]angle \: \: A + angle \: \: B = 90°[/tex]

[tex](4x - 28)° + (4x - 8)° = 90°[/tex]

[tex]4x + 4x - 28 - 8 = 90[/tex]

Collect like terms

[tex]8x - 36 = 90[/tex]

Add both sides 36

[tex]8x - 36 + 36 = 90 + 36[/tex]

[tex]8x = 126[/tex]

Divide both sides by 8

[tex] \frac{8x}{8} = \frac{126}{8} \\ [/tex]

[tex]x = 15.75[/tex]

_____________________________________________

Now let's find the measure of A :

[tex]A = 4x - 28[/tex]

[tex]A = 4 \times (15.75) - 28[/tex]

[tex]A = 63 - 28[/tex]

[tex]A = 35°[/tex]

And we're done...

Don't have a good day , Have a great day ♡

Answer:

D

Step-by-step explanation:

[tex]y = 3\sqrt{2}[/tex]

Just use pythagorean theorem, very simple.

c = [tex]\sqrt{a^{2}+b^{2} }[/tex]

In your case c is y

your answer calculated will come out to 4.24 but put in terms your teacher wants will be

[tex]y = 3\sqrt{2}[/tex]

Answer:

11

Step-by-step explanation:

(f/g)(5)=

f(5)=(5)2+1÷g(5)=5-4

10+1/1

11/1

(f/g)=11

The required simplified value of the given function as (f/g)(5)  is 26.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
f(x) = x² +1

f(5) = 5² + 1
f(5) = 26

g(x) = x - 4
g(5) = 5 - 4 = 1

f/g(5) = f(5) / g(5)
       = 26 / 1 = 26

Thus, the required simplified value of the given expression (f/g)(5)  is 26.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer: D hope this helps

The amount that should deposit monthly is $164.98

The formula for calculating the compound amount is expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Substitute the given values into the formula to have:

[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]

Hence the amount of money they started with is $19,524.89.

Amount to deposit monthly = 19,524.89/120

Amount to deposit monthly = $164.98

Hence the amount that should deposit monthly is $164.98

Learn more on compound interest here: https://brainly.com/question/24274034

Answer:

y = 4 (-3) - 2

y = -12 - 2

y = -14

Step-by-step explanation:

i do not know but its something around number

Answer:

B

Step-by-step explanation:

Each number you're adding 12.

24 + 12 = 36, 36 + 12 = 48,. etc..

B

A shows factors of 12 instead of multiples, and C just doesn’t show numbers of relation to 12

Answer:

what kind kind of prob

Step-by-step explanation:

dp you have a Story

Answer:

there is no picture to explain your qustion and im confused

Step-by-step explanation:

The income tax rate must be 29%.

Given that,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

If the Thai government wants to raise $70 billion in tax revenue,

We have to find,

The approximately where should it set the income tax rate?

According to the question,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

[tex]\rm Total \ income = Number \ of \ people \times Income \ per \ person\\\\Total \ income = 35,709,487 \times 8,630\\\\Total \ income = 308,172,872,810[/tex]

If the Thai government wants to raise $70 billion in tax revenue,

Then,

The income tax rate is,

[tex]\rm Tax\ rate = \dfrac{70,000,000,000,}{308,172,872,810}\\\\Tax \ rate = 0.29\\\\Tax \ rate = 29 \ percent[/tex]

Hence, The income tax rate must be 29%.

For more details refer to the link given below.

https://brainly.com/question/16016455

Answer:

c

Step-by-step explanation:

Trust me, I got 100%

Answer:

65.4 degrees

Step-by-step explanation:

cos(x) = 5/12

x = arccos(5/12), which is approximately  65.3756816 (on calculator). to the nearest tenth that is 65.4

Answer:

9/10 < 7/5

Step-by-step explanation:

7/5 = 14/10

9/10 < 14/10

Answer:

7/5 is greater than 9/10

Step-by-step explanation:

7/5 = 14/10

Answer:

M equals 9.3

Step-by-step explanation:

To get m alone add 4.2 to each side

Answer: b because i did the eqaution on paper

Step-by-step explanation:

Using the range concept, it is found that the greatest element in the range of this relation is 9.

Hence, the range is: {0, 5, 8, 9}.

For more on range of data-sets, you can check https://brainly.com/question/10891721

The missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)

The corresponding angles in the image given are: ∠2 and ∠3.

Since ∠2 ≅ ∠3, therefore lines l and m will be parallel.

In conclusion, the missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)

Learn more about corresponding angles on:

https://brainly.com/question/2009183

Your Question is incomplete..

Diana is baking bread, and the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will Diana use?

Answer:

3 3/4

Step-by-step explanation:

To figure out how many cups of flour Diana will use, you can set up a proportion.

1 1/2 = 3/2

2 1/2 = 5/2

2 1/4 = 9/4

Floor required for 3/2 teaspoons of yeast = 5/2

Floor required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4

= 5/2 * 2/3 * 9/4

= 15/4 = 3 3/4

Answer:

(The question is not complete so I will complete it)

Diana is baking bread, the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will diana use ?

A) 1 7/8

B) 3 1/2

C) 3 1/2

D) 3 3/4

E) 4

Step-by-step explanation:

The correct answer is D

To figure out how many cups of pour diana will use, you can set up a proportion

1 1/2 = 3/2

2 1/2 = 5/2

2 1/4 = 9/4

Flour required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4

= 5/2 * 2/3 * 9/4

= 15/4 = 3 3/4

Answer: D) 3 3/4

Answer:

50-2

Step-by-step explanation:

there is 50 donuts and 2 that are frosted :)

Step-by-step explanation:

2 have frosting, therefore 50-2 = 48 don't.

so, the ratio is for frosting vs. non-frosting

2 : 48 (which would be also 1 : 24).

Answer: I think its C

Step-by-step explanation: