To have a greater percent increase than private investigators between 2006 to 2016, there must be approximately 760,945 police officers in 2016. This is found by applying the formula for percentage increase and adjusting it to find the required final number.
Explanation:The percent increase of private investigators from 2006 to 2016 is found by subtracting the initial number from the final number, then dividing by the initial number and multiplying by 100%. This formula gives us (61000 - 52000) / 52000 * 100 = 17.3%, rounded to the nearest tenth of a percent.
To have a greater increase in police officers than that of private investigators, the percent increase must be more than 17.3%. To find the required number of police officers in 2016, we first express 17.3% as a decimal, which is 0.173. Then we use the formula for percentage increase, which is (final number - initial number) / initial number = percentage increase. By rearranging the formula, we get the required final number = (initial number * percentage increase) + initial number. Substituting the given figures, we have (648982 * 0.173) + 648982 = 760945, rounded to the nearest whole number.
Therefore, there must be approximately 760,945 police officers in 2016 to have a greater percent increase than that of the private investigators.
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Divide £42 in a ratio of 4:6
Explanation on dividing £42 in the ratio of 4:6 into two parts accurately.
Divide £42 in a ratio of 4:6:
Calculate the total parts in the ratio, which is 4 + 6 = 10.
Divide £42 by 10 to find the value of one part: £42 ÷ 10 = £4.20.
Multiply £4.20 by the parts in each ratio: £4.20 x 4 = £16.80 for the first part (4 parts),
£4.20 x 6 = £25.20 for the second part (6 parts).
Proof that x^y + y^x > 1 for all x,y > 0 ...?
Choose two axioms that allow 6 + (x + 5) to be written x + 11.
A) commutative - addition
B) distributive
C) associative - multiplication
D) symmetric
E) commutative - multiplication
F) associative - addition
G) identity - addition
associative means that you can move the parenthesis around the problem and still get the same answer. like (4+2)+3=4+(2+3)
first & sixth are the true
Basic number properties:
The Distributive Property: [tex]a\cdot (b+c)=a\cdot b+a\cdot c;[/tex]The Associative Property for addition: [tex]a+(b+c)=(a+b)+c;[/tex]The Associative Property for multiplication: [tex]a\cdot (b\cdot c)=(a\cdot b)\cdot c;[/tex]The Commutative Property for addition: [tex]a+b=b+a;[/tex]The Commutative Property for multiplication: [tex]a\cdot b=b\cdot a;[/tex]Identity Property : Any number add to the zero the answer is the number itself;The symmetric property states that if one number is equal to a second number, then the second number is equal to the first number.For the expression 6 + (x + 5):
use The Commutative Property for addition - 6+(x+5)=(x+5)+6;use The Associative Property for addition - (x+5)+6=x+(5+6)=x+11.What is the prime factorization of 19??
The prime factorization of 19 is 19, as it is a prime number and can only be divided by 1 and itself.
To determine the prime factorization of a number, we identify all the prime numbers that multiply together to give the original number. In the case of 19, we need to check if it can be divided by any primes (like 2, 3, 5, 7, 11, 13, 17).
After testing, we find that 19 is only divisible by 1 and itself, making it a prime number. Therefore, the prime factorization of 19 is simply 19.
4x+5y=6 and 6x-7y=-20
Round off 0.065 to one significant figure
Determine which choice best shows the distributive property of multiplication.
The distributive property is demonstrated best by equations in the form a(b + c) = ab + ac. The correct choices that illustrate this property are: 1. C, 2. B, 3. A, 4. A, 5. A, 6. B, 7. C, and 8. C.
To determine which choice best shows the distributive property of multiplication, we need to find the equation that demonstrates the format a(b + c) = ab + ac. This property states that you can distribute the multiplication over addition inside the parentheses.
1 Correct choice: C. (7 × 2) + (7 × 4) = 7 × (2 + 4)
2 Correct choice: B. (7 × 3) + (7 × 2) = 7 × (3 + 2)
3 Correct choice: A. (2 × 10) + (2 × 8) = 2 × (10 + 8)
4 Correct choice: A. (9 × 4) + (9 × 5) = 9 × (4 + 5)
5 Correct choice: A. 2 × (3 + 5) = (2 × 3) + (2 × 5)
6 Correct choice: B. 9 × (3 + 7) = (9 × 3) + (9 × 7)
7 Correct choice: C. 5 × (4 + 6) = (5 × 4) + (5 × 6)
8 Correct choice: C. (2 × 6) + (2 × 0) = 2 × (6 + 0)
This demonstrates the distributive property effectively.
Complete question:
Determine which choice best shows the distributive property of multiplication.
1) A. 7 × 1 = 7, B. 7 × 2 = 2 × 7, C. (7 × 2) + (7 × 4)=7 × (2 + 4), D. (7 × 2) × 4 = 7 × (2 × 4)
2) A. (7 × 3) × 2 = 7 × (3 × 2), B. (7 × 3) + (7 × 2) = 7 × (3 + 2), C. 7 × 1 = 7, D. 7 × 3=3 × 7
3) A. (2 × 10) + (2 × 8) = 2 × (10 + 8), B. (2 × 10) × 8 = 2 × (10 × 8), C. 2 × 1 = 2, D. 2 × 10 = 10 × 2
4) A. (9 × 4) + (9 × 5) = 9 × (4 + 5), B. (9 × 4) × 5 = 9 × (4 × 5), C. 9 × 1 = 9, D. 9 × 4 = 4 × 9
5) A. 2 × (3 + 5) = (2 × 3) + (2 × 5), B. 2 × 3 = 3 × 2, C. 2 × (3 × 5) = (2 × 3) × 5, D. 1 × 2 = 2
6) A. 9 × (3 × 7) = (9 × 3) × 7, B. 9 × (3 + 7) = (9 × 3) + (9 × 7), C. 9 × 3 = 3 × 9, D. 1 × 9 = 9
7) A. 5 × (4 × 6) = (5 × 4) × 6, B. 1 × 5 = 5, C. 5 × (4 + 6) = (5 × 4) + (5 × 6), D. 5 × 4 = 4 × 5
8) A. 2 × 1 = 2, B. 2 × 6 = 6 × 2, C. (2 × 6) + (2 × 0) = 2 × (6 + 0), D (2 × 6) × 0 = 2 × (6 × 0)
Convert 0.84 into a simplified fraction
The formula to find the area of a triangle is
A = ½bh. Solve the formula for h.
In triangle abc, sin a = 2425. which other expression has a value of 2425?
∠A∠A and ∠B∠B are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?
The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.
<A=<B.
Measure of <A=x and <B=5x-80
Or 5x-80=x
Adding 80 both sides
5x-80+80=x+80
5x=x+80
Subtracting x both sides
5x-x=x-x+80
4x=80
Dividing both sides by 4
x=20
Measure of <A= x= 20 degrees.
convert 5/8 to percent notation
HELP ME PLEASEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
For the past 5 years, Frank and Peggy have deposited $15,000 in a retirement account with a simple interest rate of 7%. They plan to continue to make annual deposits for the next 20 years. Explain how their money will grow over time. Note: You do not need to extend their entire savings for 25 years in your explanation. Focus on the earning for the first several years and explain how their money will grow.
Saturated hydrocarbons are relatively unreactive except in the presence of _____.
high temperatures and oxygen
other alkanes
alkenes
oxygen
Answer:
Saturated hydrocarbons are relatively unreactive except in the presence of high temperatures and oxygen.
Step-by-step explanation:
we have to choose the option in which saturated hydrocarbons react.
Saturated hydrocarbons do contain double and triple bonds that make molecule reactive. They only contains sigma bonds, which are very stable and difficult to break and hence these are unreactive.
In saturated hydrocarbons the percentage of carbon is lower which gets easily oxidised in oxygen of the air to form [tex]CO_2[/tex] completely.
Saturated hydrocarbons are generally unreactive, but when exposed to high temperatures and oxygen they react in a combustion reaction to produce Carbon Dioxide and Water.
Hence, Saturated hydrocarbons are relatively unreactive except in the presence of high temperatures and oxygen.
Option option 1 is correct.
The sum of the measures of the interior angles of a triangle is equal to A. 90 B.180 C. 270 D. 360
Write a function rule for the area A of a triangle whose base, b, is 2 cm less than seven times the height, h. What is the area of the triangle when the height hits 16 cm.
A. 4h^2-5h;944cm^2
B. 4h-5/2; 29.5***********
C. 4h^3-5h/2; 427
D. 4h-5; 59cm
I think it is B
(x+f)+2=j solve for x ...?
(x + f) + 2 = j subtract 2 from both sides
x + f = j - 2 subtract f from both sides
x = j - f - 2
Find the equations of all lines tangent to y = 9–x^2 that pass through the point (1, 12). ...?
The equation of the line tangent to y = 9 - x^2 that passes through the point (1, 12) is y = -2x + 14.
Explanation:To find the equations of all lines tangent to y = 9 - x^2 that pass through the point (1, 12), we need to find the slope of the tangent line at the point (1, 12) and use it to form the equation of the line.
First, find the derivative of y = 9 - x^2 to get dy/dx = -2x.Substitute x=1 into dy/dx = -2x to find the slope of the tangent line at (1,12). In this case, the slope is -2.Next, use the point-slope form of a line and the given point (1, 12) to write the equation of the tangent line:y - y1 = m(x - x1)
y - 12 = -2(x - 1)
Rewrite the equation in slope-intercept form:
y = -2x + 14
Therefore, the equation of the line tangent to y = 9 - x^2 that passes through the point (1, 12) is y = -2x + 14.
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**URGENT HELP???!!!*
Suppose that b(x) varies directly with x and b(x) = 4325 when x= 25.
What is b(x) when x =19?
A.) 4325
B.) 3287
C.) 173
D.) 9.1
I can't remember how problems like these are suppose to go and how to write them out, could you tell me how you got the answer once you get it. Thanks ;)
Answer:
B.3287
Step-by-step explanation:
We are given that
b(x) varies directly with x.
b(x)=4325 when x=25
We have to find the value of b(x) when x=19
According to question
[tex]b(x)\propto x[/tex]
[tex]b(x)=kx[/tex]
Where k=Proportionality constant
Substitute the values then we get
[tex]4325=k(25)[/tex]
[tex]k=\frac{4325}{25}=173[/tex]
[tex]k=173[/tex]
Now, substitute the value of k then, we get
[tex]b(x)=173 x[/tex]
Substitute the value of x=19
Then, we get
[tex]b(x)=173 \times 19=3287[/tex]
Hence, option B is true.
Lamar bought 20 pounds of dog food for $4.99 for his dog, Buster. The next day, the shop down the street offered 50 pounds of the same brand of dog food for $12.50. Did Lamar get a better deal? ...?
Louise completed the work shown below.
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.
Sample Response: Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.
What did you include in your response? Check all that apply.
Louise is missing the term 30x3.
Louise could have used the formula for a perfect square trinomial.
Louise squared each term in the binomial rather then using the distributive property.
Using the square of the sum notable product, it is found that Louise's answer is not correct, as she forgot to add the multiplication of 2 by both terms.
What is the square of the sum notable product?It is represented by the following relation:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
Hence, for Louise's expression, we have that:
[tex](5x^3 + 3)^2 = (5x^3)^2 + 2(5x^3)(3) + 3^2 = 25x^6 + 30x^3 + 9[/tex]
She forgot the middle term, hence her answer is not correct.
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Susan wants to make 2 square flags to sell at a crafts fair. The fabric she wants to buy is 3 meters wide. She doesn't want any fabric left over. What's the least amount of fabric she should buy?
Which equation will help Susan solve her problem?
Let x= the length of one side of the flag.
A.) 3x^2-2x=0
B.) 2x^2=3x
C.) 2*2=3*2
D.) 6+2x=2(4x)
Answer:
Option. B) 2x² = 3x
Step-by-step explanation:
Susan wants to make 2 square flags to sell at a craft fair.
She wants to buy a fabric of 3 meters wide. She doesn't want any fabric left over.
It means area of fabric purchased should be same as area of the flags.
Since x = length of one side of the flag
So area of one flag = x² meter²
Area of 2 flags = 2x² meter²
Area of the fabric = length × width
Area of fabric = x.3 = 3x
Now as per question both the areas should be same
2x² = 3x
Option B. is the correct option.
A school soccer team has just purchased new uniforms. The team now has 2 different colors of shorts (white and red) and 3 different colors of shirts (white, red, and gold).
How many different uniform combinations are there? ...?
72 divided by 9 4 x 4 =
What percent of 77 is 7?
The value "7" is approximately 9.09 percent of the number "77".
To calculate what percent of 77 is 7, we need to find the proportion of 7 in relation to 77. The concept of percent is based on the idea of expressing a fraction of a whole as a value out of 100.
To find the percentage, we divide the given value (7) by the total value (77) and multiply by 100.
⇒ (7/77) × 100 = 0.0909 × 100 ≈ 9.09%,
Therefore, 7 is approximately 9.09% of 77. This means that 7 represents about 9.09% of the total value of 77. It reflects the proportion of 7 within the whole value of 77, expressed as a percentage.
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54,625 written in expanded form
Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is π/ radians per second.
The price of a product increased by $75, which was a 15% increase. What was the product's original price
The correct answer is: The original price is = x = $500
Explanation:
Mathematically, we can write it as:
[tex] \frac{15}{100} * x = 75 [/tex]
x = Original Price
The above equation can be read as: "The 15% of the original price is $75."
Now we need to find the value of x:
[tex] x =\frac{75 * 100}{15} = 500 [/tex]
Hence,
The original price is = x = $500
Which is not a way to solve 4÷15=n4÷15=n??
Find w(4) for the function w(x) = 3x + 7.