Answer:
500.
Step-by-step explanation:
(1 * 10^6) / (2 * 10^3)
= 1/2 * 10^6/10^3
= 0.5 * 10^3
= 5 * 10^2
= 500.
There are 500 times high school football players more than professional football players such that there are [tex]1\times10^6[/tex] high school football players and [tex]2\times10^3[/tex] professional football players in the year of 2015.
Scientific NotationScientific notation is used to denote a large number in the form of a power of 10. We need to divide the number of high school football players and the number of professional football players to get the ratio.
How to determine the ratio between two numbers?The number of high school football players [tex]=1\times10^6[/tex].
The number of professional football players [tex]2\times10^3[/tex].
So, the ratio of high school football players to professional football players is,
[tex]\Rightarrow\dfrac{1\times10^6}{2\times10^3}\\\Rightarrow0.5\times10^3\\\Rightarrow5\times10^2\\\Rightarrow500[/tex]
Thus, there are 500 times high school football players more than professional football players.
Learn more about ratios here- https://brainly.com/question/1504221
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if 7x - 9 equals 15, what is the value of 7x +1
Answer:
25Step-by-step explanation:
First,
7x - 9 = 15
=> 7x = 15 + 9
=> 7x = 24
[tex] = > x = \frac{24}{7} [/tex]
Now putting its value in 7x + 1,
= 7x + 1
[tex] = 7 (\frac{24}{7} ) + 1[/tex]
[tex] = 7 \times \frac{24}{7} + 1[/tex]
= 24 + 1
= 25 (Ans)
Which polynomial function has a leading coefficient of 2, root-5 with multiplicity 3, and root 12 with multiplicity 1?
Of(x) = 2(x - 5)(x - 5)(x - 5)(x + 12)
Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)
O f(x) = 3(x - 5)(x - 5)(x + 12)
Of(x) = 3(x + 5)(x + 5)(x - 12)
Answer:
Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12) or Choice 2
Step-by-step explanation:
The last two answers get eliminated because their leading coefficients aren't 2. The first option is wrong because if you plug in -5 and +12 into x the function won't equal 0. So the correct answer is the Second answer: Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)
Answer:
The polynomial function that has a leading coefficient of 2, a root of 5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is choice 2.
Step-by-step explanation:
A leading coefficient of 2 means that the number multiplying all the binomial would be 2, so you know it is not choices 3 and 4. A root of -5 with a multiplicity of 3 means that when you replace x with -5, three binomials will result in 0, which helps eliminate the first choice. A root of 12 with a multiplicity of 1 means that when you replace x with 12, you will have a binomial that results in 0. Using all of this information, you'll get that the polynomial that has a leading coefficient of 2, a root of -5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is [tex]f(x)=2(x+5)(x+5)(x+5)(x-12)[/tex].
Matthew has 5 1/4 bags of fertilizer to spread around his yard. Each bag of fertilizer will cover 115.4 ft 2. How many square feet will Matthew be able to cover if he uses all of the fertilizer?
Answer:
605.85 (ft 2)
Step-by-step explanation:
5 1/4 * 115.4 = 605.85 (ft 2)
The sum of two numbers is -47 and their difference is one. Find the numbers. Separate with a comma.
Answer:
-23, -24
Step-by-step explanation:
Adding negative numbers gets you another negative number. Therefore the numbers must be -23 and -24.
NEED HELP DUE IN 6 MINUTES!!!!
Answer:
120
Step-by-step explanation:
volume of triangular prism = area of base times length
the base is a triangle and the area of a triangle can be calculated by using this formula
[tex]a=\frac{bh}{2}[/tex]
where b = base length and h = height
Dimensions of base
base length = 8cm and height = 3cm
Thus,
[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\[/tex]
The length of the triangular prism is 10cm
Thus volume = 10 * 12 = 120
can someone help me.?!
[tex]{\boxed{\mathcal{\red{h\:=\:9.5}}}}[/tex] ✅
Step-by-step explanation:-[tex]h + \frac{1}{2} = 10 \\ ⇢ h + 0.5 = 10 \\ ⇢ h \: = 10 - 0.5 \\ ⇢ h = 9.5[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
The table below shows the number of students in four schools with grade
point averages in various ranges. The grade point averages of the students in
which school represent a U-shaped distribution?
School A School B School C School D
Greater than 1.5 but less than 2.0 22 15 82 19
Greater than 2.0 but less than 2.5 39 43 46 57
Greater than 2.5 but less than 3.0 67 98 26
81
Greater than 3.0 but less than 3.5 41 45 59 50
Greater than 3.5 but less than 4.0 27 12 78 17
A. School B
O
B. School C
C. School D
Ο Ο
D. School A
Answer:
b
Step-by-step explanation:
Step-by-step explanation:
school c so B would be correct
1 gold plate weight 30 mg if the weight of some plates is 450 ml mg find the number of plates
Answer:
15 plates
Step-by-step explanation:
450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.
Answer:
15
Step-by-step explanation:
Your units are a little confused.
The mass (total ) is 450 mg
1 plate weighs 30 mg
1 plate / 30 mg = x plates / 450 mg Cross multiply
1 * 450 = 30x Divide by 30
450 / 30 = x
x = 15
There are 15 gold plates.
Which binomial is a factor of 3x^2 + 2x − 5 ?
3x-1
3x-5
x-1
x-5
Answer:
3x-1
Step-by-step explanation:
3x^2+2x-5=3x-1 x1-25
Choose a method you prefer to solve for a system of linear equations.
2x + 4y = -4
2x-y=6
Answer:
Elimination
x = 2
y = -2
Step-by-step explanation:
Elimination
2x + 4y = -4
2x - y = 6
Subtract the second equation from the first
5y = -10
Divide both sides by 5
y = -2
---------------------
Substitute for y = -2 in the second equation
2x - -2 = 6
2x + 2 = 6
subtract 2 from both sides
2x = 4
Divide both sides by 2
x = 2
[tex]8 {}^{x + 2} = 4 {}^{2x + 3} [/tex]
1. A student enlarged this rectangle to fill as
much as possible of an 8.5 cm x 11 cm
piece of paper. What scale was used?
6.3 cm
4.7 cm
A 1.75
B 1 : 2.34
C 1 4.43
D 1 : 5.94
Graph the equation y=-4/3x + 2
Answer:
plz if you knew if you new it plz tell me
Let BC=CD=12cm, and the length of arc BD=15cm. Find the area, in square centimeters, of sector BCD.
Answer:
option b : 90 sq. cm
Step-by-step explanation:
1) Area of circle with radius = 12cm
Area = π r^2
= 3.14 * (12) (12)
= 3.14 * 144
= approx 452.4
2) Circumference of circle with radius = 12cm
Circumference = 2πr
= 2 * 3.14 * 12
= approx 75 .4
3) Arc length = 15cm ......(given)
[tex] \frac{area \: of \: sector}{total \: area} = \frac{arc \: length}{circumference} [/tex]
[tex] \frac{area \: of \: sector}{452.4} = \frac{15}{75.4} [/tex]
[tex]area \: of \: sector \: = \frac{15 \times 452.4}{75.4} [/tex]
[tex] = \frac{6786}{75.4} [/tex]
[tex] = 90 {cm}^{2} [/tex]
Which of the following are true statements about a 30-60-90 triangle?
Lan
Answer:
C and F
Step-by-step explanation:
Answer:
A, F
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1 : [tex]\sqrt{3}[/tex] : 2
A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scale
factor of
A
D: (P) = P(x3)
B
D}(P) = P',
C
D:(P) = P1C-
D
D}(P) = PG-)
Answer:
C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]
Step-by-step explanation:
[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]
[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]
A rectangular room is 11 feet by 14 feet. The ceilings are 9 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room?
Answer:
3 gallons or 3.032
Step-by-step explanation:
find the total surface area (758)
divide by 250 or subtract 250 till it is under that number
If 2x + 5 = 82, then 12x = ?
A 5
B
10
C 15
D 20
Answer:
2x= 38.5
Step-by-step explanation:
I'm not sure where u got 12x but 2 x = 38.5:
2x + 5 =82
subtract 5 for 82
2x = 77
77 divided by 2 is 38.5
x = 38.5
hope this helps :)
In survey of 300 randomly selected adults at Target, 62% stated that Tide was their favorite laundry detergent. Based on this survey, predict the number of bottles of Tide the store will sell if they have 800 bottles on the shelf for sale.
Answer:
they would sell 496 bottles
Step-by-step explanation:
if %1 of 800 is 8, then pultiply that by 62, since 62% said they liked tide
find the requivalent ratios of the following 7:12
Answer:
Step-by-step explanation:
So in the example you gave, a ratio of 7:12 means that for every 7 of the first item, there are 12 of the second. The order becomes very important, as changing the ratio to 12:7 would mean that for every 12 of the first item, there are 7 of the second, which is not the same thing at all
7:12
14:24
21:36
28:48
keep smiling always
Factor the following expression.
10.25 + 513 – 14.12 – 7
A. (5.33-7)(2x2 + 1)
B. (5.04 + 7)(2.5 - 1)
C. (5.3 + 7)(2x2 - 1)
D. (5x4 - 7)(2x + 1)
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two points A and B are shown. The point A is on ordered pair 2, 1, and the point B is on ordered pair negative 1, 1. A straight line joins the points A and B. If the area of the rectangle to be drawn is 18 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point) C(−1, −2), D(2, −2) C(−1, −8), D(2, −8) C(−1, −5), D(2, −5) C(−1, −6), D(2, −6)
9514 1404 393
Answer:
3. C(−1, −5), D(2, −5)
Step-by-step explanation:
The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...
D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)
C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)
The two points required to make a rectangle with an area of 18 square units are ...
C(-1, -5), D(2, -5)
_____
The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.
What is the magnitude of -3 +4i?
Answer:
we have
-3+4i
let magnitude be |z|
|z|=[tex] \sqrt{( - 3) {}^{2} + 4 {}^{2} } [/tex]
|z|=5 unit
Answer:
The magnitude of -3 +4i is 5
Step-by-step explanation:
can someone please help I will do anything
Answer:
678.24 cubic centimeters
Step-by-step explanation:
The table shows the number of gallons of water
Answer:
Hello! answer: 360
Step-by-step explanation:
The rule is multiply by 30 I found this out by using the info shown in the table like...
120 ÷ 4 = 30 90 ÷ 30 = 3 60 ÷ 30 = 2 and so on matching up with the chart! so what I did was 12 × 30 to get the final answer to follow the pattern so... 12 × 30 = 360 therefore the answer is 360 HOPE THAT HELPS!
Which fraction has the greatest value?
+
-1
0
Jh
1
O
Um
d
HELPPPPP!!!!
Given the triangle below, what is the length
of the hypotenuse?
4 cm
5 cm
Answer:
6.4 cm
Step-by-step explanation:
i think you'd use pythagoras theorem if you don't know any of the angles . a^2 + b^2 = c^2 . so 4^2 + 5^2 = square root 41 ,, = 6.403124237 cm
i apologise if it is incorrect ^^
Answer:
Sq root of 41cm
Step-by-step explanation:
took the test
7k-6,2k+14 solve for K
Answer:
0.8k +14
Step-by-step explanation:
See the steps below:)
f : x → ½x - 3, what is the value of 'x' when f(x) = 11?
Answer:
x=28
Step-by-step explanation:
1/2x - 3 = 11
Add 3 on both sides
1/2x = 14
Multiply 2 on both sides x=28
Answer:
For example, if f (x) and g (x) are inverses of each other, then we can ... Consider another case where a function f is given by f = {(7, 3), (8, –5), (–2, 11), (–6, 4)}. This function is one-to-one because none of its y - values appear more than once.
Step-by-step explanation:
Find the value of x. If necessary, write your answer in simplest radical form.
12
9
Answer:
3√7
Step-by-step explanation:
9²+B²=12²
simplify
81+B²=144
minus the 81
B²= 63