Mathematics High School

Stella divides 12/8 on her calculator and gets 1.5. Assuming that Stella has not adjusted the calculator's settings, what do the displayed digits tell you about the answer?

A) Stella made an error.
B) The answer is exactly 1.5.
C) The calculator rounded the answer.
D) The calculator truncated the answer.

Answers

Answer 1

Stella divided 12/8.

If we divide 12 by 8, we get exactly 1.5.

Let us check given options one by one .

A) Stella made an error : Stella didn't made an error because it's just division of two numbers.

B) The answer is exactly 1.5. : On dividing 12 by 8, we get exactly 1.5, so this option is correct.

C) The calculator rounded the answer. : On dividing 12 by 8, we get exactly 1.5. So, no rounding is required.

D) The calculator truncated the answer. : On dividing 12 by 8, we get exactly 1.5. So, no truncation in the answer.

Therefore, correct option is B) The answer is exactly 1.5.

Related Questions

Using the sample results, estimate the proportion of the entire population that would like to take a cruise to Bermuda.

Answers

The proportion of the entire population (the senior class of 800) is presumed to match the proportion of the sample (150 students).

That proportion is 5/150, matching ...
A) 0.03

A.0.03 is the answer.....................................................

In a circle, a 225 degrees sector has area 490pi in2. What is the radius of the circle?

Answers

we know that

area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree
r=√[360°*(area of a sector)/(∅*pi)]

area of a sector=(∅/2)*r²--------> when ∅ is in radians
r=√[2*(area of a sector)/∅]

let's calculate the radius of the two ways

1) r=√[360°*(area of a sector)/(∅*pi)]
area of a sector=490*pi in²
∅=225°
r=√[360°*(490*pi)/(225°*pi)]-------> r=√784-----> r=28 in

2) r=√[2*(area of a sector)/∅]
area of a sector=490*pi in²
∅=225°-----> convert to radians-----> ∅=225°*pi/180-----> ∅=1.25*pi
r=√[2*(490*pi)/(1.25*pi)]----> r=√[980/1.25]---> r=√784----> r=28 in

the answer is
the radius is 28 in

What is the solution to the equation 1/square root of 8 = 4^(m + 2)?
m = −15/4
m = −11/4
m = 5/4
m = 9/4

Answers

Take the log (base 4) of both sides of the equation.
[tex]\log_{4}(\frac{1}{\sqrt{8}}) = m + 2[/tex]
[tex]\frac{-1}{2} \log_{4}(4^{\frac{3}{2}})-2 = m[/tex]
[tex]-2 \frac{3}{4}= m[/tex]

The appropriate choice is ...
m = -11/4

I agree with the other person, the answer is -11/4

14) Jillian has $50 that she plans on investing in an account that will double her money every week. This can be represented by the equation M = 50(2)x where M represents the amount of money she has and x represents the number of weeks that have passed. Her uncle Charlie gives her a gift of $400 so she decides to start her investement with that money plus the $50 she already had. What should be changed in the equation M = 50(2)x to represent the new situation?

Answers

it should still be m= 50(2)x just add +400 to the end!

A counterexample for the expression sin(x)+cos(x)=1 is 45°

True or False?

Answers

For this case we have the following expression:
sin (x) + cos (x) = 1
Substituting x = 45 degrees we have:
sin (45) + cos (45) = 1
(root (2) / 2) + (root (2) / 2) = 1
Rewriting:
(root (2) + root (2)) / 2 = 1
(2 * root (2)) / 2 = 1
root (2) = 1
We observe that the equation is not fulfilled.
Answer:
Yes, A counterexample for the expression sin (x) + cos (x) = 1 is 45 °.
TRUE

Answer:

true

Step-by-step explanation:

How to find the third side of a triangle if two sides are known?

Answers

More than likely it is a right triangle and in that case you would use Pythagorean's Theorem which is a^2+b^2=c^2. With a and b equaling the legs of the triangle and c equaling the hypotenuse of the triangle.

Final answer:

To find the third side of a triangle when two sides are known, you can use the Triangle Inequality Theorem or the Law of Cosines.

Explanation:

To find the third side of a triangle when two sides are known, you can use the Triangle Inequality Theorem or the Law of Cosines.

Triangle Inequality Theorem:

Take the two known sides of the triangle.

Add the lengths of the two sides together.

Subtract the sum from the total perimeter of the triangle.

Law of Cosines:

Label the two known sides as 'a' and 'b', and the angle between them as 'C'.

Use the formula c² = a² + b² - 2abcos(C) to find the square of the third side.

Take the square root of the result to find the length of the third side.

please help asap 45 pts

Answers

C) if you multiply it you get w^2 + 7w +11w+77, which is w^2+18w+77

the answer is C.
hope that help

If sinA/sinB=p,cosA/cosB=q,find tanA and tanB

Answers

If sinA/sinB=p
cosA/cosB=q
tanA/tanB=p+q

2. A cube-shaped aquarium has edges that are 3 ft long. The aquarium is filled with water that has a density of 62 lb/ft^3

(a) Should the aquarium be placed on a table that can support a maximum weight of 200 lb? Explain why or why not.

(b) Would the density of the water change if the aquarium was only half full? Explain. Answer:

Answers

Total mass of the filled aquarium = 3*3 * 62 = 1674 pounds
As the table can only support 200 lbs the aquarium should not be put on the table.

(b) No the deisity of the water is a constant

(a)

3*3*3=27

27*62=1674

Your answer: 1674

(b)

No, no matter how much water there is, the density will never change.

I need help please help me!!

Answers

Find the area of the larger circle and subtract from it the area of the smaller circle. I can't tell what the diameter of the larger circle is.

In ΔABC, ∡A is a right angle, and m∡B = 45°. What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

Answers

BC² = 11² + 11²

BC² = 121 + 121

BC² = 242

BC = √242

BC = 11√2

Answer: 11√2

Answer:

The length of BC is 11√2 ft.

Step-by-step explanation:

Given,

A right angled triangle ABC,

In which,

AC = 11 ft ( By diagram ),

∠A = 90°,

∠B = 45°,

By the law of sine,

[tex]\frac{sin B}{AC}=\frac{sin A}{BC}[/tex]

[tex]\implies BC\times sin B = AC\times sin A[/tex] ( By cross multiplication )

[tex]\implies BC = \frac{AC\times sin A}{sin B}[/tex]

By substituting the values,

[tex]BC=\frac{11\times sin 90^{\circ}}{sin 45^{\circ}}[/tex]

[tex]=\frac{11}{\frac{1}{\sqrt{2}}}[/tex]

[tex]=11\sqrt{2}[/tex]

Hence, the length of BC is 11√2 ft.

An old adage states that "You can't fit a square peg in a round hole." Actually, you can, it just won't fill the hole. If a hole is 4 inches in diameter, what is the approximate width of the largest square peg that fits in the round hole?

Answers

Suppose the peg is like a rectangular prism:

It will be a right triangle with two sides of 2 and 2 because the diameter is 4.
c=√(2²+2²)
c=2√2
so the width of the largest peg is 2√2 or 2.83 inch

Geometry question, will give brainiest

Answers

C. 135
Corresponding parts of congruent figures are the same

Give that the figure QRSTU IS CONGRUENT TO QXWVU
THEN ANGLE R IS EQUAL TO ANGLE X
SINCE ANGLE R = 135 THEN ANGKE X ALSO EQUALS 135

Which pair of points forms a vertical line segment that is 4 units long?

Answers

In a Cartesian coordinate system, a vertical line segment always is parallel to the y-axis, so we have this coordinate system in the figure below. We need to find a pair of points that is 4 units long.

So, this pair of points are in the general forms as follow:

[tex]P_{1}( x_{1}, y_{1})[/tex]
[tex]P_{2}( x_{2}, y_{2})[/tex]

Given that the straight line is vertical, then:

[tex]x_{1}=x_{2}[/tex]

Then the point 2 is modified as:

[tex]P_{2}( x_{1}, y_{2})[/tex]

We need to find a point which is 4 units long, so:

[tex]d = y_{2} - y_{1} = 4[/tex]
∴ [tex]y_{2} = 4+ y_{1}[/tex]

So, we can find infinite points given a value of [tex]y_{1}[/tex], therefore if:

[tex]y_{1} = 2[/tex] then:

∴ [tex]y_{2} = 6[/tex]

Thus, if [tex] x_{1} = 1 [/tex] then a pair of points are:

[tex]P_{1}(1,2)[/tex]
[tex]P_{2}(1,6)[/tex]

PLEASE HELP !! URGENT!! ILL MARK THE BRAINLIEST FOR THE CORRECT ANSWER
add or subtract

\frac{x}{x^2-36} -\frac{6}{x^2-36}

Answers

[tex]\frac{x}{x^2-36} -\frac{6}{x^2-36} = \frac{x-6}{(x-6)(x+6)} = \frac{1}{x+6} when x \neq 6, and \\x \neq -6[/tex]

[tex]\frac{x}{x^{2-}36} +\frac{6}{x^{2}-36} = \frac{x+6}{(x-6)(x+6)} = \frac{1}{x-6} , when x \neq 6, and\\x \neq -6.[/tex]

Answer:

x + 6; where x ≠ -6, +6

Step-by-step explanation:

If you divided 26 objects into sets of 6, how many sets of 6 could you make, and how many are left over?

Answers

26 divided by 6 is 4 with 2 leftover.

4 sets of 6 with the remainder 4
hope this helps

A football is selling for $35 off the original price. The original price was $60. What is the sale price of the football?

Answers

all you have to do it do 60 - 35 = 25 dollars because they want to know if the original price would be 60 dollars and they wanna know the anwser if you took away 35 dollars. so then you just subtract

Jenny has a rope that is 7 1/2 She wants to cut it into pieces that are 3/4of a foot long.
How many pieces of rope will Jenny get?

5 5/8
8
10
1/10

Answers

Jenny will get 10 pieces that are 3/4 of a foot long from a 7 1/2 long piece

Hope this helps:)

Jenny will get 5 pieces of rope.

What is the ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

To find out how many pieces of rope Jenny will get, we need to divide the total length of the rope by the length of each piece:

Total length of the rope = 7 1/2 = 15/2

Length of each piece = 3/4

Number of pieces = (15/2) ÷ (3/4)

We can simplify this expression by dividing the numerator and denominator of the left-hand side by 2:

Number of pieces = (15/2) × (4/3)

Number of pieces = 30/6

Number of pieces = 5

Therefore, Jenny will get 5 pieces of rope.

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What is the equation of the line whose y-intercept is 3 and slope is 1?

y=x-3
y=x+3
y=3x+1

Answers

The answer is y=x+3.

Hope this helps! :)

The figure below shows a shaded circular region inside a larger circle:

Will insert pic below

What is the probability that a point chosen inside the larger circle is not in the shaded region?
24%
36%
50%
64%

Answers

Probability that the point chosen is not inside the shaded area is given as follows:
Probability=(area of unshaded part)/(area of the large circle)
Area of unshaded part will be:
A=(area of large circle)-(area of small circle)
area of large circle=πR²=π×5²=25π in²
area of small circle=πr²=π×3²=9π

Area of un-shaded part=25π-9π=16π in²
thus the probability that part chosen is not shaded will be:
16π/25π
=0.64
=64%

Answer: 64%

Answer:

the answer is 64%

Step-by-step explanation:

The population of a major U.S. city is 8,550,405. The land area of the city is 1213.4 square kilometers. What is the best approximate population density of the city? 7047 peoplekm2 7124 peoplekm2 7167 peoplekm2 7500 peoplekm2

Answers

the answer is
people
7047 ---------
km^2

The population of a major U.S. city = 8,550,405

Area of the city = 1213.4 sq.km

Density = [tex] \frac{Population}{area} [/tex]

Density = [tex] \frac{8,550,405}{1213.4} [/tex]

Density = 7046.6499 [tex] \frac{People}{km^{2}} [/tex]

As the density here will not be in decimal so after rounding the density in whole number,

Density = 7047 [tex] \frac{People}{km^{2}} [/tex]

Option A is the answer

If A(-1,3), B(4,4), C(8,1) , then classify ABC as scalene, isosceles, or equilateral.

Answers

For this case we use the formula of distance between points.
We have then:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
For AB:
AB = root ((4 - (- 1)) ^ 2 + (4-3) ^ 2)
AB = 5.099019514
For AC:
AC = root ((8 - (- 1)) ^ 2 + (1-3) ^ 2)
AC = 9.219544457
For BC:
BC = root ((8-4) ^ 2 + (1-4) ^ 2)
BC = 5
We observe that it has three sides with different dimensions, therefore, the triangle is scalene.
Answer:
Scalene

8.Find the value of c that makes the expression be a perfect square trinomial p^2-30p+c

9.Use quadratic formula to solve. 4x^2+7x-15=0

10.Find the number of real number solutions using the discrimination. x^2+4x-32=0

Please help these are my final questions and I need help with them

Answers

Hope this is the right one.

Problem 8
p^2 - 30p + c
Step One
Take 1/2 of - 30
1/2 * -30 = - 15

Step 2
Square -15
(-15)^2 = 225
c = 225

Problem Nine
[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} [/tex]
a = 1
b = 4
c = -15
[tex]\text{x = }\dfrac{ -4 \pm \sqrt{4^{2} - 4*1*(-15) } }{2*1} [/tex]
[tex]\text{x = }\dfrac{ -4 \pm \sqrt{\text{16} + \text{60} } }{2} [/tex]

x = [-4 +/- sqrt(76)] / 2
x = [-4 +/- 2*sqrt19]/2
x = [-4/2 +/- 2/2 sqrt[19]
x = - 2 +/- sqrt(19)

x1 = - 2 + sqrt(19)
x2 = -2 - sqrt(19)

These two can be broken down more by finding the square root. I will leave them the way they are. It's just a calculator question if you want it to go into decimal form.

Problem Ten

a = 1
b = 4
c = -32

The discriminate is sqrt(b^2 - 4ac)
D = sqrt(b^2 - 4ac)
D = sqrt(4^2 - 4(1)(-32)
D = sqrt(16 - - 128)
D = sqrt(16 + 128)
D = sqrt(144)
D = +/- 12

Since D can equal + or minus 12 there must be 2 possible (and different) roots. As a matter of fact, this quadratic can be factored.
(x + 8)(x - 4) = y
But that' s not what you were asked for.
The discriminate is > 0 so the roots are going to be real.
Answer; The discriminate is > 0 so there will be 2 real different roots.

The figure below is the two-dimensional net of a rectangular prism. What is the surface area of the prism it can be folded to form.

(Please see attached picture)
8 square units
20 square units
24 square units
28 square units

Answers

For this case we must find the area of each of the rectangles that form the rectangular prism.
We have then:

Rectangle 1:
[tex]A1 = (2) * (1) A1 = 2[/tex]

Rectangle 2:
[tex]A2 = (2) * (4) A2 = 8[/tex]

Rectangle 3:
[tex]A3 = (4) * (1) A3 = 4[/tex]

Then, the prism area is given by:
[tex]A = 2A1 + 2A2 + 2A3 [/tex]
Substituting values:
[tex]A = 2 (2) + 2 (8) + 2 (4) A = 4 + 16 + 8 A = 28[/tex]

Answer:
the surface area of the prism is:
28 square units

HELPP ILL GIVE MAD POINTS!!
Which series has a sum of 5?

Answers

Answer:

Step-by-step explanation:

The formula is S=a1/1-r

The series third has a sum of 5 option (C) is correct because the sequence represents the sum of the infinite terms.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a series shown in the picture.

The geometric sequence is shown in the options.

As we know, in the geometric sequence there is a first term and common difference

In the first sequence:

First term a = 2

Common difference = 2(0.1)/2

Common difference d = 0.1

The sum of the infinite series is:

S = a/(1 - r)

S = 2/(1 - 0.1)

S = 2.22

In the second sequence:

First term a = 15

Common difference = 15(0.3)/15

Common difference d = 0.3

The sum of the infinite series is:

S = a/(1 - r)

S = 15/(1 - 0.3)

S = 21.42

In the third sequence:

First term a = 4

Common difference = 4(0.2)/4

Common difference d = 0.2

The sum of the infinite series is:

S = a/(1 - r)

S = 4/(1 - 0.2)

S = 5

Thus, the series third has a sum of 5 option (C) is correct because the sequence represents the sum of the infinite terms.

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Use 3.14 for pi. Round your answer to the nearest hundredth.

Answers

The calculated area of the shape is 50.24 square units

Finding the area of the shape.

From the question, we have the following parameters that can be used in our computation:

The shape

The area of the shape is calculated as

Area = 1/4πr²

Where

Radius, r = 8

Substitute the known values into the equation

Area = 1/4π * 8²

Evaluate

Area = 16π

So, we have

Area = 16 * 3.14

Evaluate

Area = 50.24

Hence, the area of the shape is 50.24 square units

Question

Find the area of the shape.

Use 3.14 for pi. Round your answer to the nearest hundredth.

Complete the area model to identify the factored form of the quadratic expression it represents. A) (x + 2)(x + 5) B) (x − 2)(x + 5) C) (x + 2)(x − 5) D) (x − 2)(x − 5)

Answers

The correct answer is D (x - 5)(x - 2)

You can tell this because in the picture, we are looking for all of the cross sections to multiply to their appropriate boxes. In the bottom right corner, we see the number 10. This means that the bottom number and the right number must multiply to 10. This only happens in A and D, whereas in B and C those equal -10.

To determine between A and D, you must find the ones that have negatives, since the two x values are both negatives. D is the only one with negative numbers out of the ones we are left working with. Therefore, D is the correct answer.

Answer:

its C i just did that question

Step-by-step explanation:

I NEED ANSWER ASAP!!! TEST DUE IN 30 MINUTES!!
What is the volume of the composite figure?
1,024 cm^3
896 cm^3
832 cm^3
64 cm^3

Answers

Answer:

896 cm^3

Step-by-step explanation:

formula for the triangle prism is

V= 1/3 Bh

V = 1/3 (8 x 3) (8) The base is 8 seen the base of the rectangel prism is 8 to its consider as base to.

V= 1/3 (24 x 8)

V= 1/3 (192)

V = 64

Now we need to find the volume so the rectangle formula is

V= lwh

V= (13x 8) (8)

V= 832cm

Add your two answers and u get

832 + 64 = 896 cm^3

The solution is : 896 cm^3 is the volume of the composite figure.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

Volume formula for the triangle prism is

V= 1/3 Bh

V = 1/3 (8 x 3) (8)

The base is 8 seen the base of the rectangle prism is 8 to its consider as base to.

V= 1/3 (24 x 8)

V= 1/3 (192)

V = 64

Now we need to find the volume so the rectangle formula is

V= lwh

V= (13x 8) (8)

V= 832cm

Add your two answers and u get

832 + 64 = 896 cm^3

Hence, The solution is : 896 cm^3 is the volume of the composite figure.

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2/5x = -3/15 + 1/x

x=0
x=15
x=5
x=3

Answers

Answer:

x = 3

Step-by-step explanation:

[tex]\dfrac{2}{5x}=-\dfrac{3}{15}+\dfrac{1}{x}\\\\\dfrac{1}{5}=\dfrac{5-2}{5x}\qquad\text{add $\frac{3}{15}-\frac{2}{5x}$}\\\\x=3\qquad\text{multiply by 5x}[/tex]

The outer edge of the dime is about 55mm. What is the approximate length of the radius?

Answers

To find the approximate length of the radius, you will use the formula for finding the circumference of a circle and solve for the radius (r).

C = 2 x pi x r
55 = 2 x 3.14 x r
55 = 6.28 x r
6.28 6.28
r = 9.2 mm

The approximate radius is 9.2 mm.

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