Answer: Hi!
The equation given is 6.6 * 10^5.
First, we will solve the exponent.
10^5 = 100,000
Next, we will multiply 100,000 by 6.6.
100,000 * 6.6 = 660,000
Therefore, your answer is b), 660,000.
Hope this helps!
*PLEASE ANSWER, DIFFICULT QUESTION* What is the volume of this beach ball if its width is 24 inches? (Use 3.14)
Answer:
7234.56 in³
Step-by-step explanation:
4/3πr³
4/3 (3.14)(12)³
7234.56 in³
Answer:
7,234.56 cm^2
Step-by-step explanation:
We want to find the volume of the beach ball. The beach ball is in the shape of a sphere. The formula for the volume of a sphere is :
[tex]V=\frac{4}{3} \pi r^3[/tex]
We know the width, or diameter of the sphere is 24 cm. We need to find the radius. The radius is half the diameter.
r= d/2
r= 24 cm/2
r= 12 cm
The radius is 12 cm, and we can substitute it into the formula.
[tex]V=\frac{4}{3} \pi (12 cm) ^3[/tex]
First, evaluate the exponent.
(12 cm)³= 12 cm * 12cm * 12 cm= 144 cm² * 12 cm = 1728 cm³
[tex]V=\frac{4}{3} \pi * 1728 cm^3[/tex]
Substitute 3.14 in for pi.
[tex]V=\frac{4}{3} * 3.14 * 1728 cm^3[/tex]
Multiply all three numbers together.
[tex]V= 4.18666666 * 1728 cm^3[/tex]
[tex]V= 7234.55999 cm^3[/tex]
Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 5 to a 6 in the hundredth place.
[tex]V= 7234.56 cm^3[/tex]
The volume of the beach ball is 7,234.56 cubic centimeters and choice 3 is correct.
easy 10 points and brainliest :)
Answer:
Quadrant IV
Step-by-step explanation:
If x > 0 the we are in quadrants 1 or 4
If Y < 0 we are in quadrants 3 or 4
Since both are true, we are in quadrant 4
Quadrant 2
x axis is left to right
y axis is up and down
What is the slope of the line that passes through the points (5,–10) and
(-3,-10)? Write your answer in simplest form.
Answer:
Slope = 0Step-by-step explanation:
The slope of a line between two points can be found by using the formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(5,–10) and (-3,-10)
Their slope is
[tex]m = \frac{ - 10 + 10}{ - 3 - 5} = \frac{0}{ - 8} = 0[/tex]
We have the final answer as
Slope = 0
Hope this helps you
Answer:
0
Step-by-step explanation:
Triangle has a leg that Triangle has a leg that measures 20 units and a hyptenuse that measures 25 units what is the length of the third side
Answer:
15Step-by-step explanation:
Hypotenuse = 25
Opposite=20
Adjacent =?
Use Pythagoras Theorem :
[tex] {hypotenuse}^{2} = {opposite}^{2} + {adjacent}^{2} [/tex]
Input values
[tex] {25}^{2} = {20}^{2} + {x}^{2} \\ 625 = 400 + {x}^{2} \\ 625 - 400 = {x}^{2} \\ 225 = {x}^{2} [/tex]
Square root both sides
[tex] \sqrt{225} = \sqrt{ {x}^{2} } \\ 15 = x \\ x = 15[/tex]
how is 0.004 the same and different from 0.444
Answer:
Step-by-step explanation:
0.004 and 0.444
both have 4 in the thousandth place, both are in thousandth place
different: 0.444 is greater than 0.004
when divide by 1000:
444/1000 is greater than 4/1000
if convert to percentage :
0.444 is 44.4%
0.004 is 0.4%
PLEASE HELP! Create a table of points from the equation f(x)=3x^2-8x+2. (I'll add a picture of the tables)
===============================================
Explanation:
If we replace x with 0, then we get...
f(x) = 3x^2-8x+2
f(0) = 3(0)^2 - 8(0) + 2
f(0) = 3(0) - 8(0) + 2
f(0) = 0 - 0 + 2
f(0) = 2
Showing that the input x = 0 leads to the output y = f(x) = 2
The answer is between choice A and choice D because of this. Something like choice B is eliminated because this table shows x = 0 leading to y = -3 which is not correct.
-----------
Let's plug in x = 1
f(x) = 3x^2-8x+2
f(1) = 3(1)^2 - 8(1) + 2
f(1) = 3(1) - 8(1) + 2
f(1) = 3 - 8 + 2
f(1) = -5 + 2
f(1) = -3
So x = 1 leads to y = -3. We can rule out choice D and confirm it is choice A.
We don't need to try other x values since we have the answer, but I recommend practicing with other x values to help confirm that the first table is the answer.
anna is biking at x miles per hour. sara bikes at 10 mi/h. which expression represents the average of anna’s and sara’s speeds?
Step-by-step explanation:
It is given that,
Speed of Anna is x miles/hour
Speed of Sara is 10 mi/h
We need to find an expression that represents the average of Anna's and Sara's speeds. Average of two objects is given by :
[tex]v=\dfrac{v_1+v_2}{2}[/tex]
ATQ,
[tex]v=\dfrac{x+10}{2}[/tex]
The above expression represents the average speed of Anna and Sara.
Of the 30 girls who tried out for the basketball team at Prescott Junior High, 12 were selected. Of the 40 boys who tried out, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls? How do you know?
Answer: Yes. They are thesame
Step-by-step explanation:
Of the 30 girls who tried out for the basketball team at Prescott Junior High, 12 were selected. In this scenario the ratio will be:
= 12/30
= 2/5
= 2:5
Of the 40 boys who tried out, 16 were selected. In this scenario, the ratio will be:
= 16/40
= 2/5
= 2:5
The ratio for both are thesame as we got 2:5 for both.
Find the positive numbers such that the sum of and its reciprocal is as small as possible.Does this problem require optimization over an open interval or a closed interval
Answer:
Yes and closed interval
Step-by-step explanation:
The computation is shown below:
For the sum and the reciprocal as small as the possible equation is as follows
[tex]\(\frac{d}{dx}\left(x+\frac{1}{x}\right)=0.\)[/tex]
Now take out the derivates,
So,
[tex]\(1-\frac{1}{x^2}=0,\)[/tex]
or we can say that
[tex]\(x^2-1=0\rightarrow x=\pm1.\)[/tex]
As the only positive number is to be determined i.e
x = 1
So this problem needed the optimization over a closed interval and the same is to be considered.
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions Online Content: Site 1 What are some considerations you need to make before choosing a career?
Answer:
some considerations before choosing which career or path you will take career wise for the future is what you enjoy doing. what is also very important is understanding how many classes of college or university is required if you are up to the challenge and how many years it'll take before starting that career.
Using the image as a reference, what is the csc of angle 90 - x?
Answer:
Option (F)
Step-by-step explanation:
From the figure attached,
ΔABC is a right triangle.
m∠A + m∠B + m∠C = 180°
m∠A + 90° + x° = 180°
m∠A = 180 - (90 + x)
= (90 - x)°
By applying cosec rule in this triangle,
csc(A) = [tex]\frac{\text{Hypotenuse}}{\text{Opposite side}}[/tex]
csc(90 - x) = [tex]\frac{\text{AC}}{\text{BC}}[/tex]
= [tex]\frac{5}{3}[/tex]
= 1.67
Therefore, Option (F) will be the correct option.
Given T(x,y)=(x+5,y+4) and the point P(2,3), what is T(P)?
==============================================
Explanation:
T(P) is the notation applying the translation rule T(x,y) = (x+5, y+4) to the point P(2,3)
The x+5 means we add 5 to the x coordinate of P. We have x = 2 become x+5 = 2+5 = 7. The point P shifts 5 units to the right to go from (2,3) to (7,3)
Then the point shifts 4 units up to arrive at (7, 7). We shift 4 units up due to the y+4 in the translation rule.
Or put another way, y = 3 is the y coordinate of P. So y+4 = 3+4 = 7 is the new y coordinate.
4. Fatore as expressões. a) 4x4y2 –6x3y3 +8x2y4 = b) 18ab3c² +27a3b4c3 -9a2b5c4 -45a2b3c2 = c) a2+3ab-2ac-6bc= d) x3–3x2y2 +6y3 – 2xy = e) x2 +z+x3y+xyz=zx2 -z2 = f) a4b6-9c2 = g) 9a4-b4 = h) 25x6 + 10x3y+y2 = i) 49x4 +14x2 +1= j) 20a2b2 – 2a4 – 50b4 =
Answer:
don't ask many questions at 1time
could someone please help me with this question
Answer:
Proportional: second and third, non-proportional: first and fourth
Step-by-step explanation:
Proportional relationships are linear functions that pass through the origin. Using this definition, we can conclude that the proportional relationships are the second and third options whereas the non-proportional relationships are the first and fourth options.
Answer:
proportional relationship: the second one and the third one the first and the fourth one
Non-proportional relationship: the first and the fourth one
Step-by-step explanation:
Like the first person said, a proportional relationship is when a linear line passes thru the origin, which is known as (0,0), so the second and the third are the only ones that do that, plus they have a y-intercept of a 0 and the others don't.
4b+9b simplified version
Answer:
13b
Step-by-step explanation:
Add 4b and 9b together because they are like terms,
so 4b + 9b = 13b
Answer:
13b
Step-by-step explanation:
4b+9b
Combine like terms
13b
Pythagorean Theorema a=24 b=26 c=?
Answer: 2√313
Step-by-step explanation:
Pythagorean theorem: a²+b²=c²
c²=a²+b²
c²=24²+26²
c²=576+676
c²=1252
c=√1252
c=2√313
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
Round each decimal to the indicated place value 3.41469 ten thousandths
Answer:
3.4147
Step-by-step explanation:
Answer:
the number rounded to the nearest ten thousandth is : 3.4147
Step-by-step explanation:
3.41469 Round to ten thousandths
put the number in value chart:
ones . tenth hundredth thousandth ten thousandth h.thousandth
3 . 4 1 4 6 9
now look at the number after the ten thousandth it is 9 which is more than five , five and more add one to the value below
add (1) to 6
the number rounded to the nearest ten thousandth is : 3.4147
5x when x=7 ......... NEED HELP
Answer:
35
Step-by-step explanation:
5 x 7 = 35
Answer:
35
Step-by-step explanation:
The equation is 5x. When the value of x is 7, you multiply 5*x or 5*7. This gives you 35.
Solve the radical equation the square root of 8x+9=x+2, how would you start it?
Answer: I will start it by squaring both sides of the equation.
The solution is x = 5 or x=-1
Step-by-step explanation:
[tex]\sqrt{8x+9} =x+2[/tex] Square the left and right sides. The square root of 8x+9 squared is 8x+9 and the x+2 squared is x^2 + 4x +4. We will now have the new equation,
8x + 9 = [tex]x^{2}[/tex] + 4x + 4 now set them equal zero first sutract x^2 from both sides
-x^2 -x^2
-x^2 + 8x + 9 = 4x +4 subtract 4x from both sides
-4x -4x
-x^2 +4x + 9 = 4 Finally subtract 4 from both sides
-4 -4
-x^2 + 4x +5 = 0 Remember the largest degree has a negative coefficient so divide them all by -1.
x^2 - 4x -5 = 0 Now find two numbers that their product is -5 and their sum is -4. the numbers 1 and -5 works out.
Now rewrite the whole equation as,
x^2+ 1x -5x -5=0 Factor by grouping on the left side
x(x+1) -5(x+1)= 0 Factor out x+1
(x+1)(x-5) = 0 Now apply the zero product
x+1 = 0 or x-5 = 0
-1 -1 +5 +5
x = -1 or x = 5
How do you do this problem? See attached image
find the area of a trapezoid whose height is 2 meters and whose bases are 6 meters and 10 meters
Answer:
16 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h
= 1/2 ( 6+10) * 2
= 16 m^2
1. James ran 3 kilometers after school. How many meters did james run? 2. Find the volume of the cube 3 1/2
Answer:
3000m
42.875 m/cm/mm/km/in/miles³ etc. (don't know what measurement you need).
Step-by-step explanation:
1 km = 1000m
Volume of a cube is V=a³ thus 3.5³ = 42.875³
Find major of 1 in the diagram.
Answer:
85° (C).
Step-by-step explanation:
35° should go over to the other side of the line:
180 - 35 = 145°
Find angle 1:
145 + 130 + angle 1 = 360°
360° = 275° + angle 1
angle 1 = 360 - 275
angle 1 = 85°
85° which is C is the answer.
Answer:
Your correct answer is option C. 85 degrees.
Step-by-step explanation:
35 degrees goes over to the other side of the line:
180 - 35 = 145°
All you need to do is find angle 1.
145 + 130 + angle 1 = 360 degrees
360 degrees = 275 degrees + angle 1
angle 1 = 360 - 275
angle 1 = 85 degrees.
Therefore, option C. is the correct answer.
A hypothesis is:_______
a. a testable prediction about the relationship between variables.
b. a simple explanation for a psychological finding.
c. an observed relationship between independent and dependent variables.
d. an unprovable assumption about psychological processes.
Answer:
a. A testable prediction about the relationship between variables
Step-by-step explanation:
A hypothesis is the FIRST step in conducting research or experimenting. In other terms, a scientific guess based on limited knowledge. Contrary to our hypothesis, conclusion comes last in researching and states the summary of the information gathered.
The reason why it isn't letter D is because a hypothesis's provability can only be determined once you have your conclusion, which is after you have conducted a research or experiment.
The letters B and C are too unrelated to what an hypothesis is.
- 8th grade student :)) (also buried under her own mountain of assignments and activities)
The length of a rectangle is 6 inches more than the width. The perimeter of the rectangle can
be no more than 48 inches. What is the maximum length?
Answer:
15 inches
Step-by-step explanation:
Hello!
To find the perimeter of a rectangle we have to add all the sides
l + l + w + w = p
We know the length is 6 inches more than the width
l = w + 6
We can put w + 6 for l
w + 6 + w + 6 + w + w = p
We can simplify this
4w + 12 = p
The perimeter is no more than 48
4w + 12 = 48
Subtract 12 from both sides
4w = 36
Divide both sides by 4
w = 9
Now we can put 9 in for w in the equation to find the length
l = 9 + 6
l = 15
The answer is 15 inches
Hope this helps!
Please answer this! I need help ASAP
Answer:
<MON = 57°
Step-by-step explanation:
they are complementary angles so they add up to 90°
3x - 15 + 5x - 23 = 90
8x - 38 = 90
8x = 128
x = 16
5(16) - 23 = 57
2(M+7)+5m-6
Umm I need help
Answer:
7m+8
Step-by-step explanation:
distributive prop then pemdas
why is it important that the real numbers have the property of being complete
Answer:Real numbers must be complete in order to fill the number line.
Step-by-step explanation: No steps I got this answer from my algebra notes.
Completeness as a property of real numbers ensures that the limit of a sequence exists within the set due to the absence of gaps or missing points
Completeness of real numbers means that there are no gaps in between a sequence of real numbers or on a real number line.
The importance of completeness of real numbers is of particular importance in other to ensure that mathematical calculations and analysis hold for all sequence of real numbers in a set.
With the presence of gaps or holes in real numbers, then the limit of a sequence of real numbers may not exist within a specified set.
Learn more : https://brainly.com/question/16492781?
The equation x + 2 = [tex]\sqrt{3x + 10}[/tex] is of the form x + a = [tex]\sqrt{bx + c}[/tex], where a, b, and c are all positive integers and b > 1. Using this equation as a model, create your own equation that has extraneous solutions. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (I know this is a handful but I'm really in need of help right now, thanks to everyone in advance!)
Answer:
Extraneous solution for Equation x + 1 = √7x + 15 : x = - 2
Step-by-step explanation:
We are given the equation x + a = √bx + c. As the hint says, let's substitute 7 for x first, receiving the following equation.
7 + a = √7b + c
Now let's say a = 1 and c = 8. Through substitution we solve for b,
7 + 1 = √7b + 8
8 = √7b + 8
8² = (√7b + 8)²
64 = 7b + 8
7b = 64 - 8 = 56
b = 56 / 7 = 8
Therefore, the equation x + 1 = √8x + 8 ( substitute the value of b ) will have a solution of x = 7. Let's simplify this equation and see if we receive any extraneous solutions.
x + 1 = √8x + 8
(x + 1)² - (√8x + 8)² = 0
(x + 1)² - 8x + 8 = 0
(x + 1)² - 8(x + 1) = 0
(x + 1)(x + 1 - 8) = 0
(x + 1)(x - 7) = 0
x = - 1 and x = 7
We already know that x = 7, but x = - 1 is not an extraneous solution. Therefore let's simplify the equation x + 1 = √7x + 15 and see if we receive any extraneous solutions.
(x + 1)² - (√7x + 15)² = 0
(x + 1)² - 7x + 15 = 0
x² - 5x - 14 = 0
(x - 7)(x + 2) = 0
x = 7 and x = - 2
In this case x = - 2 is an extraneous solution. We can check by substituting it back into the equation x + 1 = √7x + 15.
- 2 + 1 = √7(- 2) + 15
- 1 = √- 14 + 15
- 1 = √1
- 1 ≠ 1 - hence proved that x = - 2 is our extraneous solution
The equation with extraneous solution is [tex]x +5 = \sqrt{6x + 4[/tex]
The equation is given as:
[tex]x + 2 = \sqrt{3x + 10[/tex]
The form of the equation is given as:
[tex]x +a = \sqrt{bx + c[/tex]
Now, we assume that x = 7.
So, the equation becomes
[tex]7 +a = \sqrt{7b + c[/tex]
Assume that the value of a is 5
[tex]7 +5 = \sqrt{7b + c[/tex]
Add 7 and 5
[tex]12 = \sqrt{7b + c[/tex]
Square both sides of the equation
[tex]144= 7b + c[/tex]
Assume that the value of b is 6.
So, the equation becomes
[tex]144= 7(6) + c[/tex]
[tex]144= 42 + c[/tex]
Assume that c is 4
[tex]144= 42 + 4[/tex]
[tex]144= 46[/tex]
The above equation is false because 144 does not equal 46.
The values of a, b and c that makes the equation false are:
[tex]a=5[/tex]
[tex]b = 6[/tex]
[tex]c = 4[/tex]
So, we have:
[tex]x +a = \sqrt{bx + c[/tex]
[tex]x +5 = \sqrt{6x + 4[/tex]
Hence, the equation with extraneous solution is [tex]x +5 = \sqrt{6x + 4[/tex]
Read more about extraneous solutions at:
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Find the total surface area. A. 2,016 km² B. 6,156 km² C. 1,368 km² D. 165 km²
Answer:
[tex]\boxed{A. 2,016 km^2}[/tex]
Step-by-step explanation:
Hey there!
TSA is calculated using,
TSA = 2wl + 2lh + 2hw
Plug in the given info.
w = 18
l = 18
h = 19
TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)
TSA = 648 + 684 + 684
TSA = 2,016km²
Hope this helps :)
The total surface area of the cuboid is km². Therefore, option A is the correct answer.
The given dimensions are length=19 km, width=18 km and height=18 km.
We need to find the total surface area of the given cuboid.
What is the formula to find the total surface area?Total surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, TSA=2lw+2lh+2hw, to find the surface area.
Now, TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)
TSA = 648 + 684 + 684=2016 km²
The total surface area of the cuboid is km². Therefore, option A is the correct answer.
To learn more about the total surface area of the cuboid visit:
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