To solve the quotient between 2 numbers in scientific notation we have to perform 2 operations, one with the exponents of the notation and another between the numbers in the following way
\(\begin{gathered} \frac{4.68\times10^6}{2.6\times10^2}=\frac{4.68}{2.6}\times10^{6-2} \\ \frac{4.68\times10^6}{2.6\times10^2}=1.8\times10^4 \end{gathered}\)So the answer is
\(1.8\times10^4=18000\)When the absolute value of slope gets bigger the graph of the line gets ???
Answer choices are
A.) x= 2 and x = -3
B.) x = 3 and x = 4
C.) -2 and x = -1
D.) -2 and x = 1
Graph the equation using the point and the slope.
y= -1 = -3 (x - 3)
9514 1404 393
Answer:
see below
Step-by-step explanation:
We assume you want to graph the equation ...
y -1 = -3(x -3)
This is in "point-slope" form with point (3, 1) and slope -3.
We can graph this by locating the point (A), then finding another point (B) that is 3 units down and 1 unit right of the point we started with. That point is (4, -2).
The desired line goes through the two points.
It is estimated that approximately 8.23% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for diabetes will correctly diagnose 98% of all adults over with diabetes as having the disease and incorrectly diagnoses 3.5% of all adults over without diabetes as having the disease.
a) Find the probability that a randomly selected adult over does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives").
b) Find the probability that a randomly selected adult of is diagnosed as not having diabetes.
c) Find the probability that a randomly selected adult over actually has diabetes, given that he/she is diagnosed as not having diabetes
The probabilities in this problem are given as follows:
a) False positive: 0.0321 = 3.21%.
b) Diagnosed as not having diabetes: 0.8872 = 88.72%.
c) Actually has diabetes, if diagnosed as not having: 0.0019 = 0.19%.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is given as follows:
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which the parameters are described as follows:
P(B|A) is the probability of event B happening, given that event A happened.\(P(A \cap B)\) is the probability of both events A and B happening.P(A) is the probability of event A happening.For item a, we have that:
100 - 8.23 = 91.77% of the people do not have diabetes.Of those, 3.5% are diagnosed with diabetes.Hence the probability of a false positive is given as follows:
p = 0.9177 x 0.035 = 0.0321 = 3.21%.
For item b, the percentage of people who is not diagnosed as having diabetes is divided as:
96.5% of 91.77% (do not have diabetes).2% of 8.23% (have diabetes).Hence the probability is:
P(A) = 0.965 x 0.9177 + 0.02 x 0.0823 = 0.8872 = 88.72%.
For item c, we find the conditional probability, as follows:
\(P(A \cap B) = 0.02 \times 0.0823 = 0.001646\)
Then:
P(B|A) = 0.001646/0.8872 = 0.0019 = 0.19%.
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Y
4
3+
2+
1+
30
-4
-3-2
-1
1
2
CO
3
4
-1+
-2+
-3
-4-
41
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Using two points on the line, (0, -3) and (3, 0),
\( Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} \)
Let,
\( (0, -3) = (x_1, y_1) \)
\( (3, 0) = (x_2, y_2) \)
Plug in the values
\( Slope (m) = \frac{0 -(-3)}{3 - 0} = \frac{3}{3} = 1 \)
Slope = 1
A borrower has a monthly payment of $1,980 on a loan with a monthly constant of 6.45. What is the loan amount (to the nearest hundred)
Answer:
loan amount = $307,000
Step-by-step explanation:
given data
monthly payment = $1,980
monthly loan constant = 6.45
to find out
loan amount
solution
we get here loan amount that is express as
loan amount = ( monthly payment ÷ monthly loan constant ) × 1000 .........1
put here value
loan amount = ( 1980 ÷ 6.45 ) × 1000
loan amount = $307,000
a b c are positive integers with a
a b c are positive integers with a common factor.
Any number that is a factor of all three numbers is a common factor of three numbers. The common factor, for instance, is 2 if the three integers are 4, 12, and 18. Any integer more than zero, including 1, can be a common factor.
Factors are numerical values that divide evenly into other numerical values. You can divide one number by another and then check to see whether the residue is zero to see if two numbers are factors of one another.
The first number is a factor of the second number if the residual is zero. As an example, 4 is a factor of 12 since 12 divided by 4 equals 3, leaving no remainder.
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Enrique borrowed $23,500 to buy a car. He pays his uncle 2% interest on the $4,500 he borrowed from him, and he pays the bank 11.5% interest on the rest. What average interest rate does he pay on the total $23,500?
Answer:
9.7%
Step-by-step explanation:
Enrique pays 0.02(4,500)=90 in interest to his uncle.
He pays 0.115(23,500−4,500)=2,185 in interest to the bank.
The total amount of interest he pays is 2,185+90=2,275, which is a rate of
2,27523,500≈0.097
or 9.7%.
Answer: 9.7%
Step-by-step explanation:
Whats Hours after midnight?
Answer:
12 am is midnight, so for the columns, it would be
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
0
Midnight is 12:00 am
12:00 am = 0 hours past midnight
No add 1 for each hour after:
1:00 am is 1 hour after
2:00 am is 2 hours after
3:00 am is 3 hours after
4:00 am is 4 hours after
5:00 am is 5 hours after
6:00 am is 6 hours after
7:00 am is 7 hours after
8:00 am is 8 hours after
9:00 am is 9 hours after
10:00 am is 10 hours after
11:00 am is 11 hours after
12:00 pm is 12 hours after
1:00 pm is 13 hours after
2:00 pm is 14 hours after
3:00 pm is 15 hours after
4:00 pm is 16 hours after
5:00 pm is 17 hours after
6:00 pm is 18 hours after
7:00 pm is 19 hours after
8:00 pm is 20 hours after
9:00 pm is 21 hours after
10:00 pm is 22 hours after
11:00 pm is 23 hours after
12:00 am = 0 hours past midnight
a turtle crawled at a speed of 1.2 meters per minute for nine minutes how far did the turtle crawl
Answer:
10.8 meters
Step-by-step explanation:
1.2 times 9 minutes= 10.8
Answer:
10.8 meters
Step-by-step explanation:
9 * 1.2 = 10.8
4 children each have some beads, the mean number of beads is 8 Rajiv brings some more beads. The mean number of 5 children is now 9 what is the numberx of beads Rajiv brings
Answer:
The number of beads Rajiv brings is: 13Step-by-step explanation:
Make a plan:In this question, we need to use the formula of means to solve the. We can set the number of beads Rajiv brings as X, and use the formula of mean to get the total number of beads that the Four(4) children have and the total number of beads that the Five(5) children have.
Solve the problem:Four(4) children each have some beads, the mean number of beads is: 8
We can get the total number of beads the Four(4) children have:4 * 8 = 32
Rajiv brings some more beads:We set the number of beads Rajiv brings as:
x, so the total number of beads that the Five(5) children have is:
32 + x
The mean number of the Five(5) children is now: 9
We can get the total number of beads that the Five(5) children have:5 * 9 = 45
Now, we have the equation:32 + x = 45
x + 32 = 45
- 32 = -32
x = 13
By solving the above equation, you can get:
x = 13
Hence, The number of beads Rajiv brings is:13
Hope this helps!
what is the product
for 2|-16.75|
Answer:
33.5
Step-by-step explanation:
You would make the -16.75 a positive because of the absolute volume, and multiply that by 2.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEE BRAINLIEST TO RIGHT ANSWER FIND X
9514 1404 393
Answer:
x = 19
Step-by-step explanation:
Corresponding sides are proportional.
full length/right segment = 36/20 = (x+5+30)/30
Multiplying by 30 gives ...
54 = x +35
19 = x . . . . . . . subtract 35
Which step in the construction of copying a line segment ensures that the new line segment has
the same length as the original line segment? engunity
Answer: Swinging an arc from the first endpoint of the copied segment that comes directly after measuring the distance of the original segment
If you have 4 1/2 quarts how many quarts are in pints?
Nelson lands 4650 on 2% interest rate. He plans to pay this after 2 months. What will the total principal and interest payment be?
The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.
To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.
First, let's find the interest amount:
Interest = Principal x Interest Rate x Time
Given:
Principal = $4650
Interest Rate = 2% per year
Time = 2 months
Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.
Interest = $4650 x 0.02 x (1/6) = $15.50
Now, we can calculate the total principal and interest payment:
Total Payment = Principal + Interest
Total Payment = $4650 + $15.50 = $4665.50
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-(b-z)-(-2b+z)-(-3b-z)
Step-by-step explanation:
4b + z I think lol I honestly looked it up
4 • 5 =
7 • 3 =
9 • 8 =
Answer:
4 • 5 = 20
7 • 3 = 21
9 • 8 = 72
Step-by-step explanation:
On a piece of paper, graph y2 X-1. Then determine which answer choice matches the graph you drew. A B C D A. Graph C B. Graph B C. Graph A O D. Graph D PREVIOUS
The equation of a line in Slope-Intercept form is:
\(y=mx+b\)Where "m" is the slope of the line and "b" is the y-intercept.
In this case, you have the following inequality:
\(y\ge x-1\)Then, the equation of the line is:
\(y=x-1\)Where the values of "m" and "b" are:
\(\begin{gathered} m=1 \\ b=-1 \end{gathered}\)Since the sign of the inequality is:
\(\ge\)Then the line is solid and the shaded region is above the line.
Knowing the above, you can graph the inequality:
You can see that the line passes through the points (0,-1) and (3,2).
Therefore, the answer is: Option C.
HELP ME OUT PLEASE!!!!
Based on this scatterplot, approximately how many medications will a person who is 55 years old pick up?
A) 1
B) 4
C) 2
D) 5
Answer:
I believe it is A.
Step-by-step explanation:
We get rid of b and d in this equation because where the 50 mark is does not have many of the dots/meds. So that leaves us with A or C, so I only see one dot/meds on the 50 line so this gets C out of this and leaves A. Sorry if I am wrong I tried my best.
Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) ℒ−1 s (s − 4)(s − 5)(s − 20)
Answer:
\(L^{-1} \begin {pmatrix} \dfrac{s}{((s-20)(s-5)(s-4)} \end {pmatrix}= \dfrac{e^{4t}}{12}\begin {pmatrix}e^{16t} - 4e^t+3 \end {pmatrix}\)
Step-by-step explanation:
From the given information the first step to carry out is to find the partial fraction of the given equation; i.e.
\(\dfrac{s}{(s-4)(s-5)(s-20)}= \dfrac{A}{s-4}+\dfrac{B}{s-5}+\dfrac{C}{s-20}\)
After finding the partial fraction; we get:
\(s= s^2(A+B+C)+s(-2A-24B-25C)+20A+80B+100C\)
By solving this; we get:
\(A =\dfrac{1}{12}\ ; \ B = -\dfrac{1}{3} \ ; \ C= \dfrac{1}{4}\)
Thus; the above equation can be re-written as:
\(\dfrac{s}{(s-20)(s-5)(s-4)}= \dfrac{\dfrac{1}{12}}{s-20}+\dfrac{-\dfrac{1}{3} }{s-5}+\dfrac{\dfrac{1}{4}}{s-4}\)
Finally as a function of t ;
\(L^{-1} \begin {pmatrix} \dfrac{s}{((s-20)(s-5)(s-4)} \end {pmatrix}= \dfrac{e^{4t}}{12}\begin {pmatrix}e^{16t} - 4e^t+3 \end {pmatrix}\)
Question 1- Whats the derivative of: A) f(x)= 4 cos(x) + ln(x+1)
B) f(x)= sec(x) X tg(x)
The derivatives for this problem are given as follows:
a) \(f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}\)
b) \(f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}\).
What is the derivative of the sum?The derivative of the sum is the sum of the derivatives.
In this problem, the function is:
\(f(x) = 4\cos{x} + \ln{(x + 1)}\)
Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:
\(f^{\prime}(x) = (4\cos{x})^{\prime} + (\ln{(x + 1)})^{\prime}\)
\(f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}\)
What is the product rule?
The derivative of the product is given as follows:
\((f(x) \times g(x))^{\prime} = f^{\prime}(x)g(x) + g^{\prime}(x)f(x)\)
In this problem, we have that:
\(f(x) = \sec{x}, f^{\prime}(x) = \sec{x}\tan{x}\).\(g(x) = \tan{x}, f^{\prime}(x) = \sec^2{x}\).Hence the derivative is:
\(f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}\).
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A study wants to show that the most expensive cars get stopped for speeding more often. Which of the following issues is most likely to bias the results?
Group of answer choices
The gas mileage of the various cars
The state the car comes from
Expensive cars draw more attention than cheaper cars
The functionality of the radar gun used for gauging speed
The age of the tires on the cars
Expensive cars draw more attention than cheaper cars is most likely to bias the results.
The capacity of expensive automobiles to provide a smooth ride or to filter out road irregularities so that the occupants may drive in the utmost comfort is typically associated with their plush ride quality.
The underlying engineering, including the suspension design, weight distribution, and wheel size, affects ride quality. The suspension in most low-cost vehicles is built to function well in most conditions.
Handling is the ease with which a vehicle must undergo quick or successive changes in directions without upsetting the driver. Handling depends on the chassis design and suspension design. Usually, handling is inversely proportional to ride quality, as great handling vehicles require a stiffer suspension.
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Solve the following system of equations.
y = –5x + 3
y = 2x2 – x – 3
Answer:
Step-by-step explanation:
the first would be _3 ,0
5
and the second would be 0,3
Algebraic expression for 4less then 3x
When 'x' is 5, the Algebraic expression 3x - 4 evaluates to 11.
To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.
First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.
Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.
In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.
To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:
3(5) - 4
This simplifies to:
15 - 4 = 11
So, when 'x' is 5, the expression 3x - 4 evaluates to 11.
In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.
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Note the complete question:
Algebraic expression for 4 less than the product of 3 and some number
What is the algebraic expression for "4 less than the product of 3 and some number?
Please help me understand the meaning of how to calculate.
two planes take off from the same airstrip. the first plane flies west for 150 miles and then flies 30 degrees south of west for 220 miles. the second plane flies east for 220 miles and then flies x degrees south of east for 150 miles. if x < 30, which plane is farther from the airstrip after the second leg? justify your answer.
The first plane is farther from the airstrip after the second leg
Which plane is farther from the airstrip after the second leg?The first plane
Initial distance = 150 miles west
Additional distance = 220 miles 30 degrees SW
This means that
Additional distance = 220 * cos(30) miles SW
Additional distance = 190.53 miles
Total distance = 150 + 190.53 = 340.53
The second plane
Initial distance = 220 miles east
Additional distance = 150 miles x degrees SE
This means that
Additional distance = 150 * cos(x) miles SW
Total distance = 220 + 150 cos(x)
Given that
x < 30
We have
Second plane < First plane
220 + 150 cos(x) < 340.53
Evaluate
cos(x) < 0.8035
Take the arc cos of both sides
x < 36
x < 36 is not the same as x < 30
Hence, the first plane is farther
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Which description compares the vertical asymptote(s) of Function A and Function B correctly? Function A: f(x)=1/x−3 Function B: A hyperbola graphed on a grid with the x and y axis beginning at negative ten and increasing in increments of two until reaching ten. The hyperbola, labeled g of x, contains an asymptote at x equals four. The branches of the hyperbola are oriented so they open to the upper right and lower left corners of the asymptote. The lower left branch passes through begin ordered pair zero comma zero end ordered pair as a smooth curve. The upper right branch passes through begin ordered pair eight comma two end ordered pair as a smooth curve. Responses Both functions have a vertical asymptote at x = 4. Both functions have a vertical asymptote at x = 4. Function A has two vertical asymptotes. Function B has one vertical asymptote. Function A has two vertical asymptotes. Function B has one vertical asymptote. Function A has a vertical asymptote at x=−3 . Function B has a vertical asymptote at x = 4. Function A has a vertical asymptote at , x = − 3 , . Function B has a vertical asymptote at x = 4. Function A has a vertical asymptote at x = 3. Function B has a vertical asymptote at x = 4.
Answer:
The answer is D
Step-by-step explanation:
Function A
f(x) = 1 / ( x - 3)
The vertical asymptote is the value of x that makes x - 3 = 0 ⇒ x = 3
The vertical asymptote of B is x = 4
So....
Function A has a vertical asymptote at x = 3.
Function B has a vertical asymptote at x = 4.
Write a Quadratic function in vertex form y - alx - h)2 + k that when compared to the parent function y * *? has the following Transformations.
No reflection over the x axis, shift right 9 units and has a vertical compression by a factor of 0.14.
Answer:
(02.02 HC)
The boxes described below have the same volume but different dimensions and surface area. Describe
the relationship between the surface area and the volume of a cell. Analyze the data and explain why cell
shapes can be beneficial.
future: a day, a week, or even a few months from now.
short-term goal
long-term goal
intermediate goal
specific goa
What is the surface area of the triangular prism 4 ft 5 ft 2 ft 3 ft
The surface area of the triangular prism is 137ft².
What is the surface area of the triangular prism?To get the surface area of a triangular prism, we will calculate the area of each face and then sum them up.
Base area = (4 ft * 5 ft) / 2
Base area = 20ft/2
Base area = 10 ft²
Since triangular prism has two triangular bases, the total area of the triangular bases is:
= 2 * Base area
= 2 * 10 ft²
= 20 ft².
Perimeter of the triangular base:
= 4 ft + 5 ft + 4 ft
= 13 ft
Face area = Perimeter * Height
Face area = 13 ft * 3 ft
Face area = 39 ft²
The total area of the rectangular faces is:
= 3 * Face area
= 3 * 39 ft²
= 117 ft².
The Surface area of the triangular prism will be:
= Total area of triangular bases + Total area of rectangular faces
= 20 ft² + 117 ft²
= 137 ft².
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catherine has a six sided number cube
Answer:
I need more to answer your question
Step-by-step explanation: