Answer:
20
Step-by-step explanation:
Answer:
To be honest i think that the answer is 23!!
Step-by-step explanation:
In a recent year, 27.4% of all registered doctors were female. If there were 55,600 female registered doctors that year, what was the total number of registered doctors?
Answer:
The total number of registered doctors is 202,920 rounded.
Step-by-step explanation:
Solve for (x) in this equation: 27.4/100 = 55,600/(x)
You will get the following equation: (x)= (100*55,600) / (27.4) which equals 202,919.708 rounded to 202,920
To double check, you can see that 27.4% of the total given (202,920) equals the 55,600.
Express 960% as a mixed number
Answer:
9 3/5
Step-by-step explanation:
When we see a percentage, we know that the base is 100. In other words, 960% is equal to 960/100
With this, its just a matter of transforming the improper fraction to a mixed number.
100 fits 9 times in 960 so there will be 9 wholes
the remaining 60/100 can be simplified to 3/5 through this process:
60/100 = 6/10 = 3/5
Answer:
9 3/5
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
960% = 960/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 960 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(960,100) = 20. So,
(960÷20)/(100÷20) = 48/5 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 960/100 is also equal to 9 3/5 when expressed as a mixed number.
2 5/14 divided by (2 5/8 times 1 3/4)
Answer:
1.947
Step-by-step explanation:
if you write down the equation you will get this answer and see it is not respecting meaning it does not go on it has a different pattern
1.- Write two words that mean addition
Answer:
the two words that means addition are
plus, sum and calculation..............
A 15 year mortgage at 8.5 percent for $275,000
Answer:
Monthly payment is $2,708.03
Step-by-step explanation:
Which exponential equation is equivalent to this logarithmic equation?
log x 5+ log x 12 = 7
Answer:
[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]
• further more:
[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
What is an equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
As per the given data:
We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.
The logarithmic equation given in the question is:
[tex]log_x5 + log_x12 = 7[/tex] ...(i)
By using the following property of logarithm, we can simplify this equation.
[tex]log_x(ab) = log_xa + log_xb[/tex]
By using this property in eq (i)
[tex]log_x[5 \times 12] = 7[/tex]
[tex]log_x[60] = 7[/tex]
By using logarithmic transformation.
[tex]x^7 = 60[/tex]
∴ [tex]x^7 - 60 = 0[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
Hence, The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
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A case of 24 pairs of the same kind of sport shoes cost a little more than $800 explain whether $28 per pair with tax included is a good estimate of the price
The following equation models a rock that is thrown upward from an elevation of 4.9 feet
at a speed of 63.2 feet per second. The variable h represents the height in feet, and
represents the time in seconds.
h= –1672 + 63.2t + 4.9
The rock reaches 50 feet on its way up, and again on its way down.
How long does it take the rock to reach 50 feet on its way down? Round your answer to 1
decimal places.
3.0 seconds
13.2 seconds
0.9 seconds
54.9 seconds
Answer:
3.0 seconds
Step-by-step explanation:
i took the test.
The time it takes the rock to reach 50 feet on its way down is 13.2 seconds and option B is the correct answer.
We have,
We are given the equation for the height of the rock as it travels upward and then downward:
h = -1672 + 63.2t - 4.9t²
We want to find the time it takes for the rock to reach a height of 50 feet on its way down.
This means we need to solve for t when h = 50:
50 = -1672 + 63.2t - 4.9t²
Rearrange the equation to isolate the quadratic term:
4.9t² - 63.2t + (1672 + 50) = 0
4.9t² - 63.2t + 1722 = 0
For an equation of the form "ax² + bx + c = 0", the solutions for "x" are given by:
x = (-b ± √(b² - 4ac)) / 2a
In your equation, the coefficients are:
a = 4.9
b = -63.2
c = 1722
Plugging these values into the quadratic formula:
t = (-(-63.2) ± √((-63.2)² - 4 * 4.9 * 1722)) / (2 * 4.9)
Now, let's calculate the discriminant (the value inside the square root):
Discriminant = (-63.2)² - 4 * 4.9 * 1722 ≈ 39884.96 - 33529.6 ≈ 6355.36
Since the discriminant is positive, there are two distinct real solutions for "t".
Now, plug the discriminant back into the quadratic formula and solve for "t":
t = (63.2 ± √6355.36) / 9.8
Now, calculate the square root of the discriminant:
√6355.36 ≈ 79.58
Now, plug in the values for "t":
t₁ = (63.2 + 79.58) / 9.8 ≈ 13.02
t₂ = (63.2 - 79.58) / 9.8 ≈ -1.69
So, the solutions for the equation 4.9t² - 63.2t + 1722 = 0 are approximately:
t₁ ≈ 14.61
t₂ ≈ -1.69 (rejected)
Thus,
The time it takes the rock to reach 50 feet on its way down is B. 13.2 seconds.
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Can you solve and give me explanation how to solve
9514 1404 393
Answer:
3 < x < 6
Step-by-step explanation:
Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.
P = 2(L +W)
P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify
The perimeter wants to be between 38 and 74 cm, so we have ...
38 < 12x +2 < 74
36 < 12x < 72 . . . . . subtract 2
3 < x < 6 . . . . . . . . . divide by 6
_____
Additional comment
Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.
Here, our first step was to subtract 2 from all parts of the inequality:
38 -2 < 12x +2 -2 < 74 -2 ⇒ 36 < 12x < 72
The division by 12 worked the same way: all parts are divided by 12.
36/12 < (12x)/12 < 72/12 ⇒ 3 < x < 6
__
If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.
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Which function has an inverse that is a function?
Ob(x) = x2 + 3
Od(x) = -9
Om(x) = -7x
O p(x) = 1x1
Which function has an inverse that is a function?
Step-by-step explanation:
an equation is a function, if it delivers for every possible input value x exactly one result value y.
b(x) = y = x² + 3
y - 3 = x²
x = sqrt(y -3)
our formally correct
y = sqrt(x - 3)
that is actually NOT a function, as a square root delivers for most x values 2 y values : a positive and a negative value.
d(x) = -9
that means for every possible value of x the result is -9.
reversing this means that the input value of -9 has infinitely many possible results
that is NOT a function.
m(x) = y = -7x
x = -y/7
or formally correct
y = -x/7
that is a normal function. every possible value of x leads to exactly one value of y.
p(x) = y = 1x¹ = x
y = x is its own inverse function.
and this is, of course, a function. every possible value of x leads to exactly one value of y.
Factor x⁴ + 3x² + 2 completely.
All factors in your answer should have integer coefficients.
Answer:
x = i, ~1.41i
Step-by-step explanation:
Assuming "integer coefficients" allows imaginary numbers:
(x^2 + 1)(x^2 + 2)
x^2 = -1 = i
x^2 = -2 = ~1.41i
A salesman earned of sale of 10,500 and his commission rate is 5%.what is the commission of the salesman?
Answer:
$525
Step-by-step explanation:
To find the commision of the salesman, multiply the (commission rate over 100) by the sale amount.
Commission rate: 5%, so 5/100 = 0.05
then, 0.05*10500 = $525
please solve this question I give you brainliest answer
Answer:
6. 9^2+4x-1
7. 7x - 3 cm
8. -6x^2+3x-4
9. 4x+10y+4z
10 13x^2 - 2x
11. -5x^2 - 8x - 16
Step-by-step explanation:
6. (13x^2+x-3)-(4x2-3x-2) = 9x2+4x-1
7. x +4+2x+1+4x-8
= 7x-3 cm
8. (-8x^2 + 8x + 1) + (14x^2-11x+3)
10. (8x^2+x)-(-5x^2+3x)
11. (-x^2-6x+5) - (4x^2+2x+11)
A piece of wire 3/7 m long as we cut into six pieces of the same length what is the length of each piece
Answer:
Each piece is 1/7 m long
Step-by-step explanation:
Wire length = 3/7 m
Pieces = 6
1 piece = 3/7 ÷ 6
= 3/7 ÷ 6/1
= 3/7 × 1/6
= 1/7 m
00.8 is 10 times greater as
The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c.
The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
For example
Perimeter of square = side + side + side + side
The perimeter of the circle = πd where d is the dia of the circle.
Given a triangle with sides a,b and c
The perimeter of triangle is = a + b+ c
So,
The perimeter of the triangle is the sum of all sides.
Hence The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.
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Mary cut a square piece of fabric with an area of 40 square feet. Which expression could be used to find the side length of the fabric?
Answer:
L = 6.3 or 6.4
Step-by-step explanation:
Just do the square root of 40, which is 6.3 or 6.4 (but I think 6.4 is a better answer)
PLEASE HELP QUICK!!!!!!
What is the simplified form of ^6√x ⋅ ^6√x ⋅ ^6√x ⋅ ^6√x ?
A) x^2/3
B) x^3/2
C) 4 ^6√x
C) ^6√4x
Answer: C i thinkg i could be rong but thats my answer i didnt use a claculater so not sure
Step-by-step explanation:
please help, there is a picture
The answer us c I took that test too
Step-by-step explanation:
C
Answer:
y= 15/x
Step-by-step explanation:
Select the correct answer. The population of a community, , is modeled by this exponential function, where x represents the number of years since the population started being recorded. p(x) = 2,400(1.025)x What is the approximate population 3 years after the population started being recorded?
A. 7,380 people
B. 2,460 people
C. 2,584 people
D. 14,887 people
The approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×
where a is a constant and a>1
It is given that:
The population of a community is modeled by this exponential function, where x represents the number of years since the population started being recorded:
p(x) = 2,400(1.025)×
Plug x = 3 years in the above function.
P(3) = 2400(1.025)³
P(3) = 2400x1.0768
P(3) = 2584.53 ≈ 2584 people
Thus, the approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.
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PLS HURRY!!!!!
Identify the prime factorization for 75
A 25x3
B25x 3
C 52x3
Answer:
C 52x3
Step-by-step explanation:
If our monthly income is $3050 in your house payment is $2400 what fraction of your monthly income must go to pay your house payment?
Answer:
The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%
Which fruit stand, A or B, offers a better deal on blueberries
Answer:
Step-by-step explanation:
Answer:BStep-by-step explanation:B cost less money bet has the same
Evaluate.
(2a−1/3)÷b/15 when a=−3/5 and b=−6.75
Enter your answer as a simplified mixed number in the box.
Answer:
[tex]3 \frac{11}{27} \\ [/tex]
Step-by-step explanation:
[tex](2a - \frac{1}{3} ) \div \frac{b}{15} \\ (2 \times - \frac{3}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) \div \frac{ - 6.75}{15} \\ ( \frac{ - 18 - 5}{15} ) \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \times - \frac{15}{6.75} \\ \frac{23}{6.75} \\ \frac{23 \times 100}{6.75 \times 100} \\ \frac{2300}{675} = 3 \frac{11}{27} \\ [/tex]
Answer:
Step-by-step explanation:
solve for y, 10x-4y=24
Answer:
y=-2.5x-6 is the answer
What is 18×10^20.
I really want to know what 10^20 is i can do the rest on my own- I need a real number, not 1e+20.
Answer:
1,800, 000, 000 ,000, 000 ,000, 000
simplified:
1.8e+21
Step-by-step explanation:
when it says 1e+20 that means there is 20 zeroes behind it:
100, 000, 000 ,000, 000 ,000, 000
Have a nice day!
find the value of a square + b square when a+b = 8 and ab = 10
As we know,
[tex] \boxed{ \boxed{(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab}}[/tex]
now, let's plug the given values to find a² + b²
[tex](8) {}^{2} = {a}^{2} + {b}^{2} + (2 \times 10)[/tex][tex]64 = {a}^{2} + {b}^{2} + 20[/tex][tex] {a}^{2} + {b}^{2} = 64 - 20[/tex][tex]a {}^{2} + b {}^{2} = 44[/tex]
Solve.
2(y + 7) = 28
Answer:
Answer:
y=7
Step-by-step explanation:
HELP ME NOW!!! PLS I DONT KNOW THSE TPYE OF STUFF
Answer:
10 yd, because you subtract 15 to 5.
¿A qué velocidad debe circular un auto de carreras para
recorrer 50km en un cuarto de hora?
Answer:
creo que la respuesta es 3,333.33 mph
Step-by-stepStep-by-step explanation:
