Answer:
B. 6,940,000
Step-by-step explanation:
6.94 x 10^6
Make the number "6.94" as 694.
Since we make this decimal point move 2 places to the right.
We should decrease 2 powers from 10^6
=> 694 x 10^4
=> 694 x 10000
=> 6,940,000
So, the answer is B
solve for x 3(x+2) = 12
Answer:
x=2
Step-by-step explanation:
3(x+2) = 12
Divide by 3
3/3(x+2) = 12/3
x+2 = 4
Subtract 2 from each side
x+2-2 = 4-2
x =2
Answer:
The value of x is equal to 2.
Step-by-step explanation:
3(x + 2) = 12
Distribute 3 to (x + 2)
3x + 6 = 12
Subtract 6 from both sides of the equation.
3x = 6
Divide 3 on both sides of the equation.
x = 2
The value of x is 2
$10,000 for 20 years at 5% compounded annually
Answer:
$26532.98
Step-by-step explanation:
Given:
Principal = $10000Profit rate = 5% PA compoundedTime = 20 yearsCompounds = 20*1 = 20Sum is:
10000*(1 + 5/100)²⁰ ≈ 26532.98Please answer this question now
Answer:
72°
Step-by-step explanation:
From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:
m < D = ½(ABC) = ½(AB + BC)
Thus,
[tex] 56 = \frac{1}{2}(AB + 40) [/tex]
Solve for AB
[tex] 56 = \frac{AB + 40}{2} [/tex]
Multiply both sides by 2
[tex] 56*2 = \frac{AB + 40}{2}*2 [/tex]
[tex] 112 = AB + 40 [/tex]
Subtract both sides by 40
[tex] 112 - 40 = AB + 40 - 40 [/tex]
[tex] 72 = AB [/tex]
Arc AB = 72°
Flying against the wind, a jet travels 1650 miles in 3 hours. Flying with the wind, the same jet travels 3480 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the wind?
Step-by-step explanation:
Let the rate of the plane be x
The rate of the wind be y
Against the wind
Resultant velocity = x-y
1650/3 = x - y
550 = x - y
With the wind
Resultant velocity = x + y
3480/4 = x + y
870 = x + y
Solve equation simultaneously
Add both equations
870+550 = x+y+x-y
1420 = 2x
x = 710
x + y = 870
y=870 - 710
y = 160
The rate of jet in still air = 710 mph
The rate of wind = 160 mph
HOPE IT HELPS!
PRETTY PLEASE MARK ME BRAINLIEST :-)
What is the the product of (-1 - 3i) and it’s conjugate?
Answer:
10
Step-by-step explanation:
(-1 - 3i)(-1 + 3i) = 1 - 3i + 3i -9i²
1 - 9i²; i² = -1, therefore 1 - 9(-1) = 1 + 9 = 10
It is estimated that 52% of drivers text while driving . What is the probability the next driver texting while driving that a police officer pulls over is the fifth driver?
Answer:
0.0276
Step-by-step explanation:
The computation of the probability that the next driver is texting while driving is shown below:
= Fourth pull failure × fifth pull success
where,
Fourth pull failure is (1 - 0.52)^4
And, the fifth pull success is 0.52
Now placing these values to the above formula
So,
= (1 - 0.52)^4 × 0.52
= 0.0276
Hence, the probability is 0.0276
Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12
más que el otro. ¿Cuánto ganan cada uno de ellos?
Answer:
Cada uno de ellos gana:
S/. 24
S/. 36
Step-by-step explanation:
Planteamiento:
a + b = 60
a = 12 + b
Desarrollo:
sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:
(12+b) + b = 60
2b + 12 = 60
2b = 60 - 12
2b = 48
b = 48/2
b = 24
de la segunda ecuación del planteamiento:
a = 12 + b
a = 12 + 24
a = 36
Check:
24 + 36 = 60
For which function is the ordered pair (4, 12) not a solution? y = 3 x y = 16 - x y = x + 8 y = 8 - x
if an ordered pair is a solution, it should satisfy the equation.
see the first option
[tex]y=3x[/tex] , if you put $x=4$ and $y=12$
you'll get $12=12$ which is true.
now the last option, $y=8-x$ put $x=4$ and $y=12$
$12=8-4\implies 12\ne4$ thus it is not a solution.
So option 4 is correct
Answer:
Last one:
y = 8 - xStep-by-step explanation:
y = 8 - x
Replace x and y in this function12 = 8 - 4
12 = 4 (impossible)
So, (4 , 12) is not solution for: y = 8 - xwhat is x if y is 50, it is equivalent to 9/150. the first peep gets brainliest
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▹ Answer
x = 3
▹ Step-by-Step Explanation
[tex]\frac{9}{150} \\\\150/3 = 50\\9/3 = 3\\\\x = 3[/tex]
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
If there is a positive correlation between salary and education, then based on the table shown, which of the following careers requires the most education? A graph titled Average Salaries of Various Careers, 2008 to 2009. Veterinarian, 56,000 dollars; personal trainer, 18,000 dollars; accountant, 43,000 dollars; paralegal, 34,000 dollars; architect, almost 50,000 dollars; photographer, 19,000 dollars; pharmacist, 44,000 dollars; secretary, 30,000 dollars; surveyor, 36,000 dollars; webmaster, 49,000 dollars. a. accountant b. paralegal c. photographer d. surveyor
Answer:
The correct option is;
a. Accountant
Step-by-step explanation:
The given data are;
Career, Average Salary
Veterinarian, $56,000
Personal trainer, $18,000
Accountant, $43,000
Paralegal, $34,000
Architect, $50,000
Photographer, $19,000
Pharmacist, $44,000
Secretary, $30,000
Surveyor, $36,000
Webmaster, $49,000
Among the options given, which are, accountant (salary, $43,000), paralegal (salary, $34,000), photographer (salary, $19,000), and surveyor (salary, $36,000), the accountant, with a salary of $43,000, requires the most education.
a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres
Answer:
7 m
Step-by-step explanation:
Use the pythagorean theorem.
a^2+b^2=c^2
7.5 is your hypotenuse and 3 is one of your legs.
7.5^2 - 3^2 = 47.25
the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.
Simply. If the solution is not a real number enter not a real number rotate picture answer all 3 please
Answer:
13. [tex]\frac{\sqrt[5]{x^4} }{x}[/tex].
14. [tex]v = \pm3\sqrt{5}[/tex]
15. 2.
Step-by-step explanation:
13. [tex]x^{1/5} * x^{-2/5}[/tex]
= [tex]x^{1/5 + (-2/5)}[/tex]
= [tex]x^{1/5 - 2/5}[/tex]
= [tex]x^{-1/5}[/tex]
= [tex]\frac{1}{x^{1/5}}[/tex]
= [tex]\frac{x^{4/5}}{x^{1/5 + 4/5}}[/tex]
= [tex]\frac{x^{4/5}}{x}[/tex]
= [tex]\frac{\sqrt[5]{x^4} }{x}[/tex].
14. [tex]v^2 - 45 = 0[/tex]
[tex]v^2 = 45[/tex]
[tex]\sqrt{v^2} = \pm\sqrt{45}[/tex]
[tex]\sqrt{v^2} = \pm\sqrt{3^2 * 5}[/tex]
[tex]v = \pm3\sqrt{5}[/tex].
15. [tex]\sqrt[3]{2} * \sqrt[3]{4}[/tex]
= [tex]\sqrt[3]{2 * 4}[/tex]
= [tex]\sqrt[3]{2 * 2 * 2}[/tex]
= [tex]\sqrt[3]{2 ^3}[/tex]
= 2.
Hope this helps!
All of the following are true about the standard error of the mean except a. it is larger than the standard deviation of the population. b. its value is influenced by the standard deviation of the population. c. it decreases as the sample size increases. d. it measures the variability in sample means.
Answer:
The correct option is a.
Step-by-step explanation:
The standard deviation of the sampling distribution of sample mean ([tex]\bar x[/tex]) is known as the standard error. It is denoted by [tex]\sigma_{m}[/tex].
The formula to compute the standard error is:
[tex]\sigma_{m}=\frac{\sigma}{\sqrt{n}}[/tex]
As the population standard deviation is divided by the square root of the sample size, the standard error can never be more than the population standard deviation, σ.
Also, since the population standard deviation is directly proportional to the standard error, the value of [tex]\sigma_{m}[/tex] is affected by the value of σ.
And since the sample size is inversely proportional to the standard error, the value of [tex]\sigma_{m}[/tex] decreases as the value of n increases.
The sample mean is a statistic, i.e. it represents a specific characteristic (here, the average) of the sample.
The standard deviation of any statistic measures the variability of the statistic.
So, the standard error measures the variability in sample means.
Thus, the correct option is a.
Maria is buying new carpet for her bedroom .Her bedroom is in the shape of a square and the length of each side is 12 feet write and simplify an exponential express to find how much carpet she needs.
Answer:
well just do area, and since it's the same in each side 12×4= 144
1. A cone is 8cm high and has a base diameter of 12cm.its slant height is a.6cm b.8cm c.10cm d.12cm
Answer:
10
Step-by-step explanation:
it is Pythagoras theorem
6*6=36
8*8=64
64+36=100
square root of 100 is 10
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
When two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°
Step-by-step explanation:
Based on the Inscribed Angles Theorem, the measure of an intercepted arc is twice the measure of the inscribed angle that intercepts it in a circle.
Consequently, the theorem also Holds that the measure of two inscribed angles intercepting the same arc, are congruent. In other words, both angles together are the same, and their sum would give you the measure of the arc they both intercept.
In the diagram shown in the attachment below, we have 2 inscribed angles, angle A and B. They both intercept the same arc of 75°.
Therefore, we can conclude that the measure of both angles equal 75°, which is the same as the measure of the arc they intercept.
Angle A = Angle B
m<A + m<B = measure of intercepted arc = 75°
MATH QUESTION : As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by 1/3 five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?
Answer:
5/3
Step-by-step explanation:
5×(10×1/3)
=10×5/3
=since 5×(10×1/3) gives 50/3 so thus 10×5/3.
The fraction is therefore 5/3
inscribed angles. need answers asap , thank u!
Answer:
40°
Step-by-step explanation:
The circumference of a circle is equal to 360°
The arc AB is 180°, the arc AC is given as 100° so the arc CB is 80° and since <A is an inscribed angle it is equal to the half of the arc it sees
80 ÷ 2 = 40
Find the value of x in this equation. 180-5x=140180−5x=140
Answer: 8
Step-by-step explanation:
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
Answer:
25/4 laps or (6.25 laps)
Step-by-step explanation:
1 lap = 1 1/5 miles
kellyn plans to jog 7 1/2 miles
1 lap
number of laps = 7 1/2 miles x -------------- = 25/4 laps or (6.25 laps)
1 1/5 miles
A watermelon weighs 6.45 kilograms. How many grams does the watermelon weigh?
Answer:
6450g
Step-by-step explanation:
1kg = 1000g
6.45kg = 6450
The watermelon weighs 6450 grams.
Given that a watermelon weighs 6.45 kilograms.
We need to convert its unit into grams.
To convert kilograms to grams, you need to multiply the weight in kilograms by 1000, as there are 1000 grams in 1 kilogram.
The watermelon weighs 6.45 kilograms, you can use the following formula to convert it to grams:
Weight in grams = Weight in kilograms × 1000
Let's do the math:
Weight in grams = 6.45 kilograms × 1000 = 6450 grams
So, the watermelon weighs 6450 grams.
Learn more about Unit conversion click;
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Mai is putting money into a checking account.Let Y represent the total amount of money in the account (dollars)Let X represent the number of weeks Mai has been adding money suppose that x and y are related by the equation 550+40x =y what is the change per week in the amount of money in the account ?
Answer:
The answer is $40.
Step-by-step explanation:
According to the equation given in the question, we can assume that 550 is constant and was there when Mai started saving into a checking account.
Then as x gets increased by 1 each week, the amount of change in the account per week is $40.
I hope this answer helps.
What is the value of x in the equation 3x-4y=65, when y =4 will give brainliest
Hello!
Answer:
[tex]\huge\boxed{x = 27}[/tex]
Given:
3x - 4y = 65 where y = 4;
Substitute in 4 for "y":
3x - 4(4) = 65
Simplify:
3x - 16 = 65
Add 16 to both sides:
3x - 16 + 16 = 65 + 16
3x = 81
Divide both sides by 3:
3x/3 = 81/3
x = 27.
Hope this helped you! :)
Answer:
x=27
Step-by-step explanation:
3x-4y=65
Let y=4
3x - 4(4) = 54
3x -16 = 65
Add 16 to each side
3x -16+16 = 65+16
3x = 81
Divide each side by 3
3x/3 =81/3
x =27
A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years
Answer:
$6488.19
Step-by-step explanation:
To solve this problem we use the compounded interest formula:
[tex]amount = principal(1 + (r \n))^({n}{t})[/tex]
a = $2600(1+(0.0675/1))¹*¹⁴
a = $6488.19
Which of the two functions below has the largest maximum y-value?
f(x) = -x4- 2
g(x) = -3x3 + 2
Answer:
g(x)=-3x^{3}+2
Step-by-step explanation:
g(x) has a range that of (-infinity, +infinity), whereas f(x) has a range of (-infinity, -2].
Answer:
Step-by-step explanation:
● f(x) = -x^4 -2
● g(x) = -3x^3 + 2
Derivate both functions:
● f'(x) = -4x^3
● g'(x) = -9x^2
Solve the equations f'(x) =0 and g'(x) =0
● f'(x) = 0
● -4x^3 = 0
● x^3 = 0
● x =0
● g'(x) = 0
● -9x^2 = 0
● x^2 =0
● x = 0
So both functions f and g reach their maximum at 0.
● f(0) = 0^4-2 = -2
● g(0) = -3×0^3 +2 = 2
So g(0)>f(0)
So g has the largest maximum value.
The width of a rectangle measures (8.3c-8.4d)(8.3c−8.4d) centimeters, and its length measures (5.3c+4.8d)(5.3c+4.8d) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
P = 27.2c-7.2d
Step-by-step explanation:
It is given that,
The width of a rectangle is (8.3c-8.4d)
The length of a rectangle is (5.3c+4.8d)
The perimeter of a rectangle is equal to the sum of its all sides i.e.
P = 2(l+b)
P = 2(8.3c-8.4d+5.3c+4.8d)
P = 2[(8.3c+5.3c)+(4.8d-8.4d)]
P = 2(13.6c-3.6d)
⇒P = 27.2c-7.2d
Hence, the expression that represents the perimeter of the rectangle is 27.2c-7.2d.
If area of a rhombus is 336 cm and one of its diagonal is 14 cm, find its perimeter.
Answer:
The perimeter of the Rhombus is 100 cm
Step-by-step explanation:
First of all, we will need to find the length of the other diagonal.
let’s call the diagonals p and q
Mathematically, the area of the Rhombus is;
pq/2 = Area of Rhombus.
Let’s call the missing diagonal p
So;
(p * 14)/2 = 336
14p = 672
p = 672/14
p = 48 cm
Now, we can find the perimeter of the Rhombus using these diagonals.
Mathematically;
P = 2 √(p^2 + q^2)
Substituting these values, we have;
P = 2 √(14)^2 + (48^2)
P = 2 √(2500)
P = 2 * 50
P = 100 cm
The perimeter of the rhombus is the sum of its side lengths
The perimeter of the Rhombus is 100 cm
The length of one of its diagonal is given as:
[tex]p= 14[/tex]
And the area is given as:
[tex]A = 336[/tex]
Assume the other diagonal is q.
The area of the rhombus is represented as:
[tex]A = \frac{pq}2[/tex]
So, we have:
[tex]336 = \frac{14q}2[/tex]
This gives
[tex]336 = 7q[/tex]
Divide both sides by 7
[tex]48 = q[/tex]
Rewrite as:
[tex]q = 48[/tex]
The perimeter (P) of the rhombus is calculated as:
[tex]P =2\sqrt{p^2 + q^2[/tex]
So, we have:
[tex]P =2\sqrt{48^2 + 14^2[/tex]
Evaluate the squares
[tex]P =2\sqrt{2500[/tex]
Take positive root of 2500
[tex]P =2 \times 50[/tex]
[tex]P =100[/tex]
Hence, the perimeter of the Rhombus is 100 cm
Read more about areas and perimeters at:
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50 POINTSS!! While preparing a roof, patty drops a screwdriver from a height of 80 feet. The function (h)t = -16t^2 + 80 gives the height of the screwdriver in the feet as feet after t seconds during its fall. Which of these is the graph of the function
Answer:
Graph D
Step-by-step explanation:
(h)t = -16t^2 + 80
At time t = 0 the screwdriver is at 0+80 =80 ft
As time increases the height will decrease so we can eliminate graph B
We know this is a downward parabola by the - in front of the t^2 so we can eliminate graph A
We need to find where it meets the x axis
0 = -16t^2 + 80
-80 = -16t^2
5 = t^2
t = sqrt(5)
t =2.23
This is Graph D
suppose you are mixing red and blue paint in a bucket. do you think the final color of the mixed paint will be the same whether you add the blue or the red paint first?relate your answer to a property of real numbers
Answer:
It does not matter which color you add first because either way you will end up with the same color, purple. We can relate this to the commutative property of addition because blue + red = red + blue.
Pls mark it Brainliest!!!
Write an equation for a line on the graph that passes through the points (0.4) and (12,16)
Answer:
[tex] y = x + 4 [/tex]
Step-by-step explanation:
Use the two-point form of the equation of a line.
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
[tex] y - 4 = \dfrac{16 - 4}{12 - 0}(x - 0) [/tex]
[tex] y - 4 = \dfrac{12}{12}x [/tex]
[tex] y - 4 = x [/tex]
[tex] y = x + 4 [/tex]
Answer:
y = x + 4
Step-by-step explanation:
An equation for a line looks like:
=> y = mx +b
=> In this equation "m" is the slope.
=> "b" is the y-intercept.
To find the slope:
=> y/x - y1/x1
=> 16/12 - 4/0
=> 16 -4 / 12 - 0
=> 12 / 12
=> 1
So, the slope is 1.
Now our equation looks like:
y = 1x + b
=> y = x + b
Let's take some the values of "x" and "y" of (0,4)
So, our now look like:
=> 4 = 1 (0) + b
=> 4 = b
So, b (y-intercept) = 4
Now, our final equation is:
=> y = x + 4
