Fill in the blanks with two consecutive integers to complete the following inequality.


? < √97 < ?

Answers

Answer 1

Answer:

9 < √97 < 10

Step-by-step explanation:

√97 is a little less than √100

Which is 10

9 < √97 < 10

Answer 2
Answer:  9 < √97 < 10

=====================================================

Explanation:

Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2

We can apply the square root to all three sides to get the following

[tex]81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\[/tex]

Using a calculator, we can help verify this

[tex]\sqrt{97} \approx 9.85[/tex]


Related Questions

the graph of y=3x+=4 is

Answers

Answer:

Step-by-step explanation:

The answer is B.

It's a line that shows every point that satisfies the equation

y = 3x + 4  which is what I think you meant (but I'm not sure). If I am correct then there are a million possible points that could be the answer to this question.

If I am not correct, leave a comment that tells me so, and I'll revise my answer.

Never mind the question has the right equation. And my answer remains as given.

B.) What fraction of the cost is spent on food and entertainment? Food- 17%. Entertainment- 24 they have 3000 for vacation

Answers

Answer:

Amount spent on food  = 510

Amount spent on entertainment = 720

Step-by-step explanation:

They have 3000 for vacation.

Amount spent on food = 17% of 3000

or 17/100*3000

17*30= 510

Amount spent on entertainment = 24% of 3000

or 24/100*3000

24*30= 720

PLEASE ASAP PLEASE I need this plewse

Answers

The answer is 182.3537

Answer:

182.353745

Step-by-step explanation:

[tex]\frac{0.482 x61.2^2}{\sqrt{98.01} }[/tex]

Exponent First!

61.2^2 = 61.2 × 61.2 = 3745.44

Next, start multiplying it by 0.482

3745.44 × 0.482 = 1,805.30208

Then Solve for the Square root of 98.01

[tex]\sqrt{98.01}=9.9[/tex]    

Finally, divide 1,805.30208 by 9.9    

1,805.30208 ÷ 9.9 = 182.353745

URGENT PLEASE HELP ME !!!!

Answers

Answer:

CO

Step-by-step explanation:

Conditional: If p, then q.

Converse: If q, then p.

Conditional: If the measure of an angle is 90 degrees, then it is a right angle.

If p, then q.

p = the measure of an angle is 90 degrees

q = it is a right angle

Converse:

If q, then p.

If it is a right angle, then the measure of the angle is 90 degrees.

Answer: CO

Durante 8 días el precio de una acción de una compañía X cae 720 pesos, en el noveno día sube 45 pesos y el decimo día cae 120 pesos, ¿Escriba y calcule el valor de las acciones al terminar el decimo día?

Answers

Answer:

Tras 10 días la acción habrá caído $795.

Step-by-step explanation:

Dado que durante 8 días el precio de una acción de una compañía X cae 720 pesos, en el noveno día sube 45 pesos y el decimo día cae 120 pesos, `para determinar el valor de las acciones al terminar el decimo día se debe realizar el siguiente cálculo:

X - 720 + 45 - 120 = Valor

X - 840 + 45 = Valor

X - 795 = Valor

Por lo tanto, tras 10 días la acción habrá caído $795.

1. Which is NOT a solution to the inequality below?
3x + 13 ≥ -8
-8
-7
-6
-5

Answers

Answer:

-8 is not a solution to the inequality

Step-by-step explanation:

[tex]3x + 13 \geqslant - 8 \\ 3x \geqslant - 21 \\ x \geqslant - 7 \\ [/tex]

Step-by-step explanation:

everything can be found in the picture

The ________ is the distance around a circle.
A. Radius
B. Diameter
C. Circumference
D. area

Answers

Answer:

the distance is called the circumference

The question is in the picture :)

Answers

The correct name for a side of the angle is C!

Answer:

C. ED

Step-by-step explanation:

find the value of x in the equation 4x-2=2x+10​

Answers

Answer:

x = 6

Step-by-step explanation:

Given

4x - 2 = 2x + 10 ( subtract 2x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Find the 98th term of the arithmetic sequence -10, -8, -6, ...

Answers

First term = a= -10

common difference=d= -8+10 = 2

n= 98

the 98th term = a+(n-1)d = -10+ (98-1)2

= -10+(97)2 = -10 +194

=184

98th term of the given arithmetic sequence is 184.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

The given arithmetic sequence is -10, -8, -6,......

Here, a=-10, d=-8-(-10) = 2

So, aₙ=-10+(n-1)×2

aₙ=-10+2n-2

aₙ=2n-12

a₉₈=2×98-12

a₉₈=184

Therefore, 98th term of the given arithmetic sequence is 184.

To learn more about an arithmetic sequence visit:

https://brainly.com/question/10396151.

#SPJ2

Pleaseeeee help me!!!

Answers

Answer:

a = -1  b=0  and c=1

Step-by-step explanation:

-x^2 +0x+1

This is in the form

ax^2 +bx+c

a = -1  b=0  and c=1

Operations on Wh b) 6 X (5 + 4) ​

Answers

Answer:

6X(5 + 4)

6x(9)

54x

Answer:

the answer is 54x hope it will help full to you

Translate this sentence into an equation. 46 is the sum of 21 and Mabel's savings.

Answers

You have to add 21 by M to get the answer that you are looking for

Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answers

Answer:

Step-by-step explanation:

The two triangle are congruent for the rule SAS

QP congruent to TU

angle P and angle T are both right

side PR is in common

Classify the following triangle. Check all that apply.
DA. Isosceles
D B. Obtuse
C. Scalene
E D. Acute
E E. Equilateral
D F. Right

Answers

Answer:

A . Isosceles

Step-by-step explanation:

An isosceles triangle has both two equal sides and two equal .

The distance from the moon to the earth is about 239,000 miles. How many pennies would
need to be in a stack in order to reach the moon?

Answers

Answer: 5 billion pennies

Step-by-step explanation:

Ranking brainliest if correct :)))

Answers

Answer:

Hello! answer: always

Step-by-step explanation:

And Isosceles triangle is a triangle with two sides that have the same length therefore the answer is always because as shown there are two sides with the same length hope that helps!

Answer is: always

since a  isosceles is a triangle with two equal sides and since two of the number is same(you know what i mean)

Jasmine drew triangles on a globe and on a flat map of the world, as shown below.Which is a true statement comparing Jasmine’s two drawings?

A. The angle sum of the triangle on the globe is equal to the angle sum of the triangle on the map.
B. The angle sum of the triangle on the globe is greater than the angle sum of the triangle on the map.
C. The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe.
D. There is only one line connecting New York to Paris on the map but more than one line connecting New York to Paris on the globe

Answers

Answer:

B

Step-by-step explanation:

OEMJIGOVNarioendsdmarfwsipf JUST BELIEVE, also looking is good

The true statements on comparing Jasmine’s two drawings are B and C.

What is Angle Sum Property of a Triangle ?

The sum of a finite traingle's interior angle is equal to 180° and this is called the Angle Sum Property of a Triangle.

It is given in the question

Jasmine drew triangles on a globe and on a flat map of the world

On comparing both the triangle the conclusions are

The triangle drawn on the globe is a spherical triangle and the angle sum of the interior angle will be greater that the two right angles or 180°.

Among the option given this is also true that

The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe

Therefore option B and C are both true statement comparing Jasmine’s two drawings .

To know more about Angle Sum Property

https://brainly.com/question/8492819

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What are the measures of Angles a, b, and c? Show your work and explain your answers.
400
a
650

Answers

Answer:

Step-by-step explanation:

angle a=40 degree (being vertically angles)

angle a + 90 +angle b=180 degree (being sum of interior angles of a triangle)

40 +90 +angle b=180

130 + angle b=180

angle b=180-130

angle b =50 degree

vrtically opposite of angle b

vertically opposite of angle b + missing angle=65 degree (sum of two intrior opposite angle is equal to the exterion anle formed)

40 degree + missing angle=65

missing angle=65-40

missing angle=25 degree

angle c+ vertically opposite of angle b + missing angle=180 degree (being sum of interior angles of a triangle)

angle c +50 +25 =180

angle c+75=180

angle c=180-75

angle c=105 degree

marcus purchased a sail boat for $56,900. he anticipates each year the boat will decrease in value by 8.1% from the previous year.


enter numbers in the boxes to write an exponential function that models the value in dollars of the boat x years after Marcus's purchase.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price= $56,900

Decrease in value= 8.1% per year from the previous year

To calculate the value of the sailboat after x number of years, we need to use the following formula:

Future value= purchase price / (1 + decrease in value)^x

For 10 years:

FV= 56,900 / (1.081^10)

FV= $26,112.91

Sue travels 876 miles roundtrip to visit her parents. What is the total distance in miles she would fly for 12 visits to her parents? All I need is the total distance in MILES, Please help! First answer that helps me alot will get a brainliest!

Answers

Answer:

2 miles

Step-by-step explanation:

Answer:

10,512 miles

Step-by-step explanation:

876 x 12 = d (d is distance)

Solving the multiplication above, 876 x 12 would equal 10,512 miles

Can someone please help me ASAP!!

Answers

I DONT SPEAK ENGLISH, I'M BRAZILLIAN

Answer:

brainllest if right

b

Step-by-step explanation:

PLZ HELP LIMITED TIME

Answers

Answer:

32

Step-by-step explanation:

The groundskeeper filled the first sandbox with sand to a height of 6 inches. What is the volume,
in cubic feet, of the sand that was used to fill the first sandbox to a height of 6 inches? Show or explain
how you got your answer
Enter your answer and your work or explanation in the space provided

Answers

Answer:

you didnt provide the other 2 measurements, its length x width x height for volume

Can you help me solve in any algebraic method ?

Answers

Answer:

Step-by-step explanation:

x²+(8+3)x +24=0x²+8x+3x+24=0x(x+8)+3(x+8)=0(x+8)(x+3)=0if,(x+8)=0 then,x+8=0x=-8,,if x+3=0 then,x=0-3x= -3,,
X^2+8x+3x+24=0
X(x+8)+3(x+8)=0
-> (x+8)x(x+3)=0
->{ x= -8
{ x=-3

i would really appreciate the help please

Answers

Answer:

1 and 2 only

Step-by-step explanation:

mark me as brainliest

Solve this system of equations using the ELIMINATION method.

3x - 2y = 1

2x + 2y = 4

Answers

hope this helps please like and mark as brainliest

Answer:

x = 1

y = 1

Step-by-step explanation:

3x - 2y = 1

2x + 2y = 4

3x - 2y + 2x + 2y = 1 + 4

3x + 2x = 5

5x = 5

5x ÷ 5 = 5 ÷ 5

x = 1

2x + 2y = 4

2(1) + 2y = 4

2 + 2y = 4

2 - 2 + 2y = 4 - 2

2y = 2

2y ÷ 2 = 2 ÷ 2

y = 1

Check:

3x - 2y = 1

3(1) - 2(1) = 1

3 - 2 = 1

x and y being 1 works for the first equation.

2x + 2y = 4

2(1) + 2(1) = 4

2 + 2 = 4

x and y being one works for both equations.

help me please ASAP

Answers

Answer:

A.

Step-by-step explanation:

Vertical shifts are represented by - or +, and they are not within the parenthesis. Since the function is being shifted down by 2 units, the correct answer is A.

7(x + y) ex2 − y2 dA, R where R is the rectangle enclosed by the lines x − y = 0, x − y = 7, x + y = 0, and x + y = 6

Answers

Answer:

[tex]\int\limits {\int\limits_R {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}[/tex]

Step-by-step explanation:

Given

[tex]x - y = 0[/tex]

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

[tex]x + y = 0[/tex]

[tex]x + y = 6[/tex]

Required

Evaluate [tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA[/tex]

Let:

[tex]u=x+y[/tex]

[tex]v =x - y[/tex]

Add both equations

[tex]2x = u + v[/tex]

[tex]x = \frac{u+v}{2}[/tex]

Subtract both equations

[tex]2y = u-v[/tex]

[tex]y = \frac{u-v}{2}[/tex]

So:

[tex]x = \frac{u+v}{2}[/tex]

[tex]y = \frac{u-v}{2}[/tex]

R is defined by the following boundaries:

[tex]0 \le u \le 6[/tex]  ,  [tex]0 \le v \le 7[/tex]

[tex]u=x+y[/tex]

[tex]\frac{du}{dx} = 1[/tex]

[tex]\frac{du}{dy} = 1[/tex]

[tex]v =x - y[/tex]

[tex]\frac{dv}{dx} = 1[/tex]

[tex]\frac{dv}{dy} = -1[/tex]

So, we can not set up Jacobian

[tex]j(x,y) =\left[\begin{array}{cc}{\frac{du}{dx}}&{\frac{du}{dy}}\\{\frac{dv}{dx}}&{\frac{dv}{dy}}\end{array}\right][/tex]

This gives:

[tex]j(x,y) =\left[\begin{array}{cc}{1&1\\1&-1\end{array}\right][/tex]

Calculate the determinant

[tex]det\ j = 1 * -1 - 1 * -1[/tex]

[tex]det\ j = -1-1[/tex]

[tex]det\ j = -2[/tex]

Now the integral can be evaluated:

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA[/tex] becomes:

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{x^2 - y^2}} \, *\frac{1}{|det\ j|} * dv\ du[/tex]

[tex]x^2 - y^2 = (x + y)(x-y)[/tex]

[tex]x^2 - y^2 = uv[/tex]

So:

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{|det\ j|}\, dv\ du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *|\frac{1}{-2}|\, dv\ du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{2}\, dv\ du[/tex]

Remove constants

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 {\int\limits^7_0 {ue^{uv}} \, dv\ du[/tex]

Integrate v

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 \frac{1}{u} * {ue^{uv}} |\limits^7_0 du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 e^{uv} |\limits^7_0 du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{u*7} - e^{u*0}]du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{7u} - 1]du[/tex]

Integrate u

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7u} - u]|\limits^6_0[/tex]

Expand

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -(\frac{1}{7}e^{7*0} - 0)][/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -\frac{1}{7}][/tex]

Open bracket

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} - 6 -\frac{1}{7}][/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} -\frac{43}{7}][/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{42} -\frac{43}{7}][/tex]

Expand

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}[/tex]

You are riding in a hot air balloon on Valentine’s Day withyour sweetheart. As you get ready to set your balloon downyou notice that while your balloon is 500 ft above ground, your friends balloon is 800 ft above ground. The plan is for both balloons to descend straight down. Your balloon willland right at the edge of the lake below, but it appears thatyour friends will be pretty far away. You can see a reflectionof their balloon right in the middle (direct center) of the 1200 ft wide lake below.How far away from the lake will your friends touch down?

(Don't mind my scribbles maybe they will help, maybe not)

Answers

Answer:

Try 750 ft?

Step-by-step explanation:

Proportion:

800/500 = 1,200/x

Solve:

1,200 / 800 = 1.5

1.5 * 500 = 750

Hope this helped!

Please mark as brainliest!

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