Find the area of the shaded portion of the
figure. All angles are right angles.
Dimensions are in inches.
3
8
5
======================================================
Explanation:
The white rectangle is 3 by 6 with area of 3*6 = 18 square inches.
The larger rectangle is 8 by 5 with area of 8*5 = 40 square inches.
The difference of these will get us the shaded area:
40 - 18 = 22 square inches
If f(x)=16x- 30 and g(x)= 14x-6, for which value of x does (f-g)(x)=0?
Answer:
x=12
Step-by-step explanation:
16x-30-(14x-6)=2x-24=0. add 24 on both sides to get 2x=24. divide by 2 on both sides to get x=12
Use the zero x = 5, to help find the remaining zeros of x4 - 4x3 - 14x² + 36x + 45. Select one:
O a. x = 5, 3, and -3
O b. x = -1, 3, and -3
O c. None of these
O d. x = 1, 3, and -3
Answer:
huh
Step-by-step explanation:
Quick please!
Will give brainliest
100 points
3(4j + 7 + 2j) or 3(6j +7) b. Use the distributive property to create an equivalent expression.
Answer:
3(4j + 7 + 2j)
12j + 21 + 6j
12j + 6j + 21
18j + 21 ----- (1)
3(6j +7)
18j + 21 --------(2)
eq 1 = eq. 2
both are equal
what is it asap please
Discriminat step by step of x^2+4x+5=0
Answer:
-4
Step-by-step explanation:
x^2+4x+5=0
a=1,b=4^1 C=5
4^2-4×1×5
-4
use the point–slope formula to write an equation of the line that passes through(-5, -16 )and has a slope of m = 3 . Write the answer in slope–intercept form (if possible).
Answer:
y + 16 = 3(x + 5)
Step-by-step explanation:
When you write an equation in point-slope form, you only need two things: a point and a slope.
Given:
point: (-5, -16)slope (m): 3The standard point-slope equation is
y - y₁ = m(x - x₁)
Plug in what you know.
y - (-16) = 3(x - (-5))
Simplify.
y + 16 = 3(x + 5)
This is your equation.
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f(x)=7; find f(-3) and f(0.1)
Answer:
f(-3) = 7
f(0.1) = 7
Step-by-step explanation:
The function f(x)=7 gives an output of 7 for all inputs. In other words, no matter what we plug in for x, f(x) will equal 7.
When graphed, f(x)=7 produces a horizontal line at y=7. From there, you can also see that any value of x gives an output of 7.
Use the five numbers 12, 11, 19, 16, and 12 to complete parts a) through e) below.
a) Compute the mean and standard deviation of the given set of data.
The mean is x = and the standard deviation is s =
(Round to two decimal places as needed.)
Answer:
mean = 14 and standard deviation = 3.03
Step-by-step explanation:
mean = sum of all numbers ÷ by the numbers available
= (11 + 12 + 12 + 16 + 19) ÷ 5
= 70 ÷ 5
= 14
FOR STANDARD DEVIATION * USE A SCIENTIFIC CALCULATOR THEY WON'T PENALIZE YOU*
follow these steps:
1. press mode then STAT
2. then press 1-VAR
3. put all the numbers on the table in ascending order
4 after press AC
5. press shift then 1
6. you will see many things but we are only interested in standard deviation, press *Var*
7. then select the standard deviation sign and press the equal sign
is y=6x-3 a function
Yes it is
Step-by-step explanation:
it is a linear function as it is written in the standard form Y=MX+C
The vehicle preference of police officers and firefighters is given in the table.
Police Officers Firefighters
Cars 12
Trucks 9
SUVS 15
3
4
2
Based on the information in the table, which of the following is an example of independent events.
An example of independent events is P(Police Officers and choose cars).
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent if we have:
P(A ∩ B) = P(A)P(B)
Police Officers Firefighters
Cars 12 3
Trucks 9 4
SUVs 15 2
Let P(A) = Firefighters choose cars
P(B) = Firefighters choose Trucks
P(A ∩ B) = Police Officers choose cars
Thus,
P(A ∩ B) = P(A)P(B)
12 = (4) ( 3)
Hence, an example of independent events is P(Police Officers and choose cars).
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Samantha is 9 years younger than her brother Maurice. In 10
years, Maurice will be 1.5 times older than his sister. Find their
present ages.
Step-by-step explanation:
hope you can understand
Answer:
Samantha is 8 years and Maurice is 17 years
Step-by-step explanation:
First represent Samantha's brother's age with a variable, x.
Secondly, find Samantha's age. since shes 9 years younger, then it will be her brother's age which is x minus 9
Thirdly, in ten years, they will all age hence 10 will be added to all their ages.
Fourthly, once 10 has been added to their after 10 years, rhen we realise Maurice age will be 1.5 timess Samantha's age... Then you solve the resulting equation.
Isabella is making a scrapbook each page of the scrapbook is a square with a length of 11 in if each page holds three pictures that each have an area of 15 in squared what is the remaining area on each page and square inches that can be used for decoration
The remaining area of the page will be 80 square inches.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.
The area of the remaining part will be calculated as;-
Area of the square page will be = 11 x 11 = 121 square inches.
Area of three pictures will be = 15 x 3 = 45 square inches.
So the remaining area will be = 121 - 45 = 80 square inches.
Therefore the remaining area of the page will be 80 square inches.
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In a statistics class with 36 students the professor wanted to know the probability that at least two students share the same birthday. The probability would be
The probability that at least two students share the same birthday is 83.22 %.
Probability of sharing the same birthdayLet P(A) = Probability that no two students share same birthdayLet P(A') = Probability at least two students share same birthday
There are 365 days in year and there 36 students in the class.
Total sample space, n = 365³⁶
36 students will be selected as [tex]365P_{36}[/tex]
[tex]P(A) = \frac{365P_{36}}{365^{36}} = 0.1678[/tex]
Probability at least two students share same birthdayP(A') = 1 - P(A)
P(A') = 1 - 0.1678
P(A') = 0.8322
P(A') = 83.22 %
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Use a real number line to define la.
Choose the correct answer below.
OA. |a| = -a for any real number a.
B. The midpoint of the origin and a is la for any real number a.
OC. The distance from the origin to a is la for any real number a.
D. The distance from a to a is |a| for any real number a.
A number line is just that – a straight, horizontal line with numbers placed at even increments. The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
As we know that in the given function |a|, when any value is given to a, then the value that the function is written is equal to a.
Let a=-5, then the value that the function will return is 5. Which is the distance borigin and a, on the number line.
Hence, The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.
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algebra 2 help needed image below urgent !!!
Answer:
Domain = x ≥ 0
Range = y ≥ 20
Step-by-step explanation:
The equation in slope-intercept form would look like this:
y = 4x + 20
The slope is $4 because that is the money that can be made depending on the week. Because he received a random $20 at the beginning, this is just an additional income.
---------------------------------------------------------------------------
In this scenario, the domain (x-values) represent the number of weeks. The range (y-values) represent the total money made.
So the domain is asking, what is the lowest/highest amount of weeks he can save for? We know the number of weeks cannot be negative because he can't save for negative weeks. However, he could save for zero weeks. He can be saving for theoretically infinite weeks. Therefore, the domain is x ≥ 0.
The range is asking, how much money can he save? Since he starts out with a baseline of $20, this is the lowest amount of money he can have. If he were to save for an infinite amount of weeks, he could make an infinite amount of money. Therefore the range is y ≥ 20.
what is the general term for sequence -6;3;15;30?
Answer:
[tex] \frac{3}{2} n {}^{2} + \frac{9}{2} n - 12[/tex]
Step-by-step explanation:
This sequence is a quadratic sequence meaning that we should find the difference and the constant second difference.
The difference between the 4 terms is in the sequence:
9;12;15
The constant second difference is 3.
Use your method of finding the general term:
2a=3 3a+b=9 a+b+c=-6
a=3/2 3(3/2)+b=9 3/2+9/2+c=-6
b=9/2 c=-12
Standard form for quadratic sequence:
[tex] {an}^{2} + bn + c[/tex]
Therefore your general term is the one stated above in the answer.
Hope that helps!
It takes 70 pounds of seed to completely plant an 8-acre field. How many acres can be planted per pound of seed?
No. of pounds of seed it takes to plant an 8-acre field = 70 pounds.
No. of acres can be planted per pound of seed = 70/8
= 8.75.
thus, 8.75 acres can be planted per pound of seed.
16 Let f(x) and g ) are function such that f () = x+5 and g(x) x+4, what is domain of f(x)+g(x)?
Answer: all real numbers
Step-by-step explanation:
I assume you meant to write:
Let f(x) and g(x) be functions such that f(x) = x+5 and g(x) = x+4. What is domain of f(x)+g(x)?[tex]f(x)+g(x)=(x+5)+(x+4)=2x+9[/tex]
Since this is a linear function, the domain is all real numbers.
The velocity of a car over five hours is given by v(t)=60ln(t+1),0≤t≤5 in kilometers per hour. What is the total distance traveled from t=0 to t=5? Round your answer to the nearest whole number and do not include units.
Step-by-step explanation:
as the velocity is not constant over time, we actually have to integrate v(t) over the interval 0<=t<=5 to get the distance.
v(t) = 60×ln(t + 1)
V(t) = 60 × integral(ln(t + 1)) between 0 and 5.
integral(ln(t + 1)) = (t + 1)ln(t + 1) - t + C
V(t) = 60 × ((t + 1)ln(t + 1) - t + C)
the distance traveled between t = 0 and t = 5 is then
60 × ((5 + 1)ln(5 + 1) - 5 + C) - 60 × ((0 + 1)ln(0 + 1) - 0 + C) =
= 60×(6ln(6) - 5 + C) - 60×(1ln(1) + C) =
= 60×(5.750556815... + C) - 60×C =
= 60×5.750556815... = 345.0334089... ≈ 345 km
for what value of k will the relation not be a function
R={(k-8.3+2.4k,-5),(3/4k,4)}
Step-by-step explanation:
hope you can understand
In parallelogram ABCD, diagonals AC and BD intersect at point E, AE = x^2 - 12, and CE = 4x What is AC?
The length of the AC is x^2 + 4x - 12.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Given :
In Parallelogram ABCD, diagonals AC and BD intersect at point E.
such that
AE = x^2 - 12,
CE = 4x
We know that the diagonal of a parallelogram bisect each other.
x^2 - 12 = 4x
x^2 - 4x - 12= 0
(x-6)(x-2) = 0
Hence, the value of x = 6, 2.
AC = AE + CE = x^2 + 4x - 12.
The length of the AC is x^2 + 4x - 12.
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why is smallest possible angle of a 36-gon 5 degrees instead of 4.72222222222?
The smallest interior angle of the given regular polygon with 36 sides is; 170°
How to find the sum of interior angles of a polygon?The formula for calculating the sum of interior angles of a regular polygon is; S = (n − 2) × 180°
where n is number of sides of the polygon
We are told that number of sides of ploygon is 36. Thus;
S = (36 - 2) × 180°
S = 6120°
Thus;
Smallest possible angle of polygon = 6120/36 = 170°
Sum of external angles of a regular polygon is;
S = 360/n
S = 360/36
S = 10°
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Ratio of men to women working for a company is 7to5 there are 75 women working for the company what is total number of employees
Answer:
There is a total of 180 employees.
Step-by-step explanation:
men : women
7 : 5
5 units = 75
1 unit = 15
12 units = 180
Given the graph of the pre-image and image, identify the correct
coordinate transformation.
The preimage was shifted to the image by a translation 2 units right and 2 units up, so the answer is [tex](x,y) \longrightarrow (x+2, y+2)[/tex]
round 0.3391 to the nearest thousandth
Answer:
0.339
Step-by-step explanation:
Hope it helped!
Hii!
___________________________________________________________
Answer: 0.339
Explanation:
Rounding Rules
There are two rounding rules that will help us whenever we need to round a number! These are the rules.
If the number that you need to round is followed by a digit that is less than 5, you round down.If the number that you need to round is followed by a digit that is either greater than or equal to 5, you round up.---
Now that we know the rules, let's get down to solving our problem! ^^
The nearest thousandth is 3 decimal places.
_._ _ _ <==== Nearest thousandth
The third number after the decimal point is 9. After it is a digit that is less than 5. According to the rounding rules, we should round down.
[tex]\boldsymbol{0.3391=== > 0.339}[/tex]
--
Hope that this helped! Best wishes.
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A bag of 20 marbles consists of 5 blue marbles, 4 red marbles and 9 yellow marbles. You draw a marble out of the bag, put it back then draw out another marble. Calculate the probability you will draw a blue marble on your first draw and then draw a blue marble on your second draw? Write your answer a percentage to the nearest hundredth.
The probability you will draw a blue marble on your first draw and then draw a blue marble on your second draw is 0.063.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total marbles = 20
Number of blue marbles = 5
P(blue) = 5/20
P(blue∩blue) = P(blue)×P(blue)
= (5/20)(5/20)
= 25/400
= 1/16
= 0.0625 ≈ 0.063
Thus, the probability you will draw a blue marble on your first draw and then draw a blue marble on your second draw is 0.063.
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Need help with this geometric question
Answer: QN=19
Step-by-step explanation:
Diagonals of an isosceles trapezoid are congruent, so NQ=PM.
By the segment addition postulate, NQ=QR+RN=3x+7.
So,
[tex]6x-5=3x+7\\\\3x-5=7\\3x=12\\\\x=4[/tex]
So, [tex]QN=3(4)+7=\boxed{19}[/tex]
Given the function f(x) = 8x^2-3x+2 Calculate the following values
[tex]1) \text{ } f(-2)=8(-2)^{2}-3(-2)+2=\boxed{40}\\\\2) \text{ } f(-1)=8(-1)^{2}-3(-1)+2=\boxed{13}\\\\3) \text{ } f(0)=8(0)^{2}-3(0)+2=\boxed{2}\\\\4) \text{ } f(1)=8(1)^{2}-3(1)+2=\boxed{7}\\\\5) \text{ } f(2)=8(2)^{2}-3(2)+2=\boxed{28}[/tex]
A survey of 600 randomly selected high school students determined that 290 play organized sports. what is the probability that a randomly selected high school student plays sports
Answer:
29/60
Step-by-step explanation:
probability of playing is 290/600 which when simplified is29/60
