Answer:
Step-by-step explanation:
Find the area of the shaded part of the trapezoid.
Step-by-step explanation:
All you have to do is to multiply the length times width times height to get the area. So its 6 x 20 x q1/4 ft = 30q. Hope this helps.
Find the shaded area:
Answer:
Step-by-step explanation:
we have a circle inscribed in a square
Area of the square
Asquare=14*14=196
Acircle=3.14*r^2
r=14/2=7
Acircle=3.14*7^2=153.94
A shaded=196-153.94=42.06
Given that f(x)=x^2-13 and g(x)=5x+1, find (fg)(-1/5)
Answer:
[tex]\displaystyle (fg)(-\frac{1}{5})=0[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x^2-13\text{ and } g(x)=5x+1[/tex]
And we want to find:
[tex]\displaystyle (fg)(-\frac{1}{5})[/tex]
This is equivalent to:
[tex]\displaystyle =f(-\frac{1}{5})g(-\frac{1}{5})[/tex]
By substitution:
[tex]\displaystyle f(-\frac{1}{5})=(-\frac{1}{5})^2-13=\frac{1}{25}-13=-\frac{324}{25}[/tex]
And:
[tex]\displaystyle g(-\frac{1}{5})=5(-\frac{1}{5})+1=-1+1=0[/tex]
Hence:
[tex]\displaystyle =(-\frac{324}{25})(0)=0[/tex]
Our final answer is:
[tex]\displaystyle (fg)(-\frac{1}{5})=0[/tex]
O A
Rx) = 3(x + 1)2 = 2
B.
(x) = -3(x + 1)2 + 2
OC.
Ax) = -3(x + 1)2 - 2
D.
(x) = 3(x - 1)2 + 2
Reset
8x6=(8x_)+(8x_)
Complete the question to fine 8x6
Answer:
8 multiply 6 =(8 multiply 3)+(8 multiply 3)=4
what’s the area pls help for 30 points ?
Answer:67.5
Step-by-step explanation:
5*10=50
5*7=35 35/2=17.5
17.5+50=67.5
Answer:
5*10=50
5*7=35 35/2=17.5
17.5+50=67.55*10=50
5*7=35 35/2=17.5
17.5+50=67.5
Step-by-step explanation:
how I writing this in a expresión
Answer:
2.75x+122.5
Step-by-step explanation:
Horse=x
Stork=x+70
Whale=3/4(x+70) = 0.75(x+70) = 0.75x+52.5
x+x=70+0.75x+52.5
2.75x+122.5
Answer:
2.75h + 122.5, where h = lifespan of a horse
Step-by-step explanation:
The whale's lifespan is given in terms of the stork's.
The stork's lifespan is given in terms of the horse's.
Start by assuming a variable for the lifespan of a horse.
Let h = the lifespan of horse in years.
A horse lives h years.
A stork lives 70 years longer than a horse. A stork lives h + 70 years.
A whale lives 3/4 of the lifespan of a stork. A whale lives for (3/4)(h + 70) years.
Now that you have an expression for the lifespan of each animal, the total lifespan of the three animals is the sum of the three lifespans.
total lifespan = h + h + 70 + (3/4)(h + 70
Now we simplify the right side.
total lifespan = 2h + 70 + (3/4)h + (3/4)(70)
total lifespan = 2h + 70 + 0.75h + 52.5
total lifespan = 2.75h + 122.5
Answer: 2.75h + 122.5, where h = lifespan of a horse
There are 5 pens in a container on your desk. Among them, 3 will write well but 2 have defective ink cartridges. You will select 2 pens (without replacement) to take to a business appointment. Select the most appropriate statement for each part (a-e) when considering calculating the probability that both pens are defective.
a. Let X: the number of defective pens selected. X is a random variable. [Select ]
b. For each pen chosen from the container, we can consider "Defective" as the success and "Working" as the failure since we are interested in both pens being defective. [ Select] -
c. X is well approximated by a Binomial Random Variable X-Bin(n=2. pi=2/5) True
d. If the first pen was replaced before the second pen was selected (sampling with replacement), then X would be very well approximated by a Binomial Random Variable X-Bin(n=2, pi=2/5) True
e. Had you been drawing 2 pens (without replacement) from a container of 25 pens, X would be better approximated by a Binomial Random Variable.
Answer:
Kindly check explanation
Step-by-step explanation:
Total Number of pens = 5
Number of defective pens = 2
Number of non-defective pens = 3
A.) number of defective pens selected :
X : {0, 1, 2}
It is possible that no defective pen will be selected ; 1 defective will be chosen or both pens are defective.
2.)
Defective as Success (since selecting a defective pen is the point of interest.
3.)
Since selection is done without replacement
Probability of success per selection is different for each selection ;
Number of defective = 2
Number of observations = 5
P(success on first selection) = 2/5
P(success on second selection) = 1/4
Hence, X is not well approximated by a binomial random variable.
4.) if selection is done with replacement ; then then the probability of success per selection will be the Same for each selection made. Hence, X will be well approximated by a binomial Random variable.
5.) If sampling is done without replacement, then the the hypergeometric function will be a more effective approximation.
The ordered pairs show amounts y (in inches) of rainfall equivalent to x inches of snow.(16, 1.5), (12, 1.3), (18, 1.8), (15, 1.5), (20, 2.1),(23, 2.4) About how many inches of rainfall are equivalent to 6 inches of snow? Round your answer to the nearest hundredth, if necessary.
Answer:
0.57 inches of rainfall is equivalent to 6 inches of snow
Step-by-step explanation:
The given data are presented here as follows;
[tex]\begin{array}{cc}x&y\\16&1.5\\12&1.3\\18&1.8\\15&1.5\\20&2.1\\23&2.4\\\end{array}[/tex]
The data points are approximately linear
From the the trend line of the plotted points of the graph, created with Microsoft Excel, with Forecasting, when there is 6 inches of snow the rainfall is 0.575 inches
By linear regression, we have;
Y = a + b·X
Where;
[tex]b = \dfrac{n \cdot \sum XY - \left (\sum X \right ) \cdot \left (\sum Y \right )}{n \cdot \sum X^{2} - \left (\sum X \right )^{2}}[/tex]
[tex]a = \dfrac{\sum Y - b \cdot \sum X}{n}[/tex]
∑x = 104
∑y = 10.6
∑(x·y) = 191.7
(∑x)·(∑y) = 1102.4
(∑x)² = 10816
n = 6
SigX^2 = 1878
Plugging in the values, gives;
[tex]b = \dfrac{6 \times191.7 - 1102.4}{6 \times 1878 - 10816} \approx 0.10575[/tex]
[tex]a = \dfrac{10.6 - 0.10575 \times 104}{6} \approx -0.06637[/tex]
Therefore;
Y = 0.10575·x - 0.06637
When x = 6 inches, we have;
Y = 0.10575 × 6 - 0.06637 = 0.56813
Y = 0.56813 inches ≈ 0.57 inches of rainfall
Therefore;
0.57 inches of rainfall is equivalent to 6 inches of snow
18. Which of the following correctly shows 2,354,769 rounded to the nearest ten thousand?
as uve not shown no options it shud be round bout 2350000
Step-by-step explanation:
Answer:
2,350,000
Step-by-step explanation:
this is the answer I believe
Really need help . Find the missing value that makes the two expressions equivalent
Answer:
1. 4
2. 5
3. 9
Step-by-step explanation:
1.
4(x+3y)
4x+12y=4x+12y
2.
5(7x+10y)
35x+50y=35x+50y
3.
9(2x+y)
18x+9y=18x+9y
i hope this helps!
Writing and Evaluating an Algebraic Expression Try it five more than the product of two and a number, decreased by seven; evaluate when a = 8
Answer:
7
Step-by-step explanation:
dont trust me i dont know the answer sry
Answer:
ya
Step-by-step explanation:
Explain how to solve the problem y = (xz)/ x for y when x = 3 and z = 2.
Answer:
y=6
standard form
Enter the next 3 terms from the geometric sequence below.
−
2
,
1
,
−
1
2
,
.
Answer:
The next 3 terms from the geometric sequence below.
3
2
,
1
,
0
1
2
,
3
.
Step-by-step explanation:
The next 3 terms of the geometric sequence are [tex]\frac{1}{4} , -\frac{1}{8}, \frac{1}{16}[/tex].
What is a Geometric Sequence?'A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.'
According to the given problem,
The terms are, -2 , 1 , - [tex]\frac{1}{2}[/tex] ....
Now, geometric sequence means that there is a common ratio between the numbers in the sequence.
Common ratio can also be denoted as r.
so, from -2, the next term is -2 × r and the one after this is -2 × r × r and so on.
If we compare, -2 × - [tex]\frac{1}{2}[/tex] = 1
1 × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{2}[/tex]
-[tex]\frac{1}{2}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{8}[/tex]
-[tex]\frac{1}{8}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{16}[/tex]
Hence, we can conclude that the next three terms are, [tex]\frac{1}{4}[/tex] , -[tex]\frac{1}{8}[/tex] , [tex]\frac{1}{16}[/tex].
Learn more about geometric sequence here:
https://brainly.com/question/13008517
#SPJ2
How do I do this really confused please explain
9514 1404 393
Answer:
(a) 15
Step-by-step explanation:
Each of the marked angles is an exterior angle of the polygon. The sum of exterior angles is always 360°. We can use that fact to write the equation.
4x° +77° +59° +6x° +74° = 360° . . . . . an equation to find x
10x + 210 = 360 . . . . . . . . . . . . . . divide by °, collect terms
x + 21 = 36 . . . . . . . . . . . . . . . divide by 10
x = 15 . . . . . . . . . . . . . . . subtract 21
_____
Comment on the sum of exterior angles
Imagine the figure shrunk smaller and smaller until all of the angle vertices are the same point. You can see that those angles will completely fill the angular space around that central point, so they must have a sum of 360°.
3(4x +2) +3
I need help!!
Thx!
Answer:
12x+9
Hope you got your answer!
Help me with the math promblem plz
Answer:
I believe it's the last one, if you start from the lowest vertex it would be M'H'I'J'K'L'
helppppp ahhhh!!
At the library there is a four hour span of time to use a computer. The time slots are 1/3 hour long. How many time slots are there?
Step-by-step explanation:
[tex] \frac{4 \: hours}{computer} \times \frac{1 \: slot}{ \frac{1}{3} hour } = 12 \: \frac{slots}{computer} [/tex]
Calculate the length of AB. *
Answer:
the answer will be 9.6 cm
Which graph shows dilation?
Answer:
The First Image
Step-by-step explanation:
A dilation is a type of transformation that enlarges or reduces a figure, therefore in the first Image we see an increase in scale factor of 2.
Can somebody solve this for me please?
Answer:
D
Step-by-step explanation:
In the image shown, Line n is a transversal cutting parallel lines and m.
< 3 = x + 50
< 7 - 2x + 20
What is the measure of < 3?
A)
70°
B)
75°
C)
80°
D)
85
Answer:B) . 75°
Step-by-step explanation:dfghjkjhgfdfgty
Answer:
its 80
Step-by-step explanation:
i did it on usa test prep
Write an equation that relates the angles in a triangle. The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.
Answer:
4x = 180
Step-by-step explanation:
angle x = angle y so we can say both angles are 'x + x' or '2x'
angle z = twice angle y (or twice angle x because they're equal) so we can say angle z = 2x
2x + 2x = 180
There are 60 colas and 30 lemon-lime sodas in the cooler. What is the ratio of colas to lemon-lime sodas?
Answer:
2:1
Step-by-step explanation:
60:30 = 2:1
Answer:
the answer is 2 : 1
Step-by-step explanation:
good luck!
Please help me nowww
I need this right away!!
there is not enough information to complete the answer
Find the length of side x in simplest radical form with a rational
denominator.
45°
V5
45°
X
Answer: 10/2
Step-by-step explanation:
What is the total cost of 1.2 Cubic yards of soil if it sells for $24 per cubic yard?
Answer:
$28.80 I hope that helps if not I'm sorry if it's wrong
Step-by-step explanation:
we write "dollars per cubic yard" as "dollars/yd^3" so that the units "yd^3" will cancel when multiplying by "1.2 yd^3", leaving an answer in units of dollars
24 dollars / yd^3 * 1.2 yd^3 = 28.80
the cost would be $28.80
Evaluate the following expression:
7× + 5y
Answer:
I think this question is incomplete or maybe incorrect but if it's OK then the answer would be 7x + 5y.
Step-by-step explanation:
the answer remains the same because the question has no like terms so no further calculations can be made.
Three sets of data are given below. What is the
median of the ranges?
Data A: -3,2,-5,6,8
Data B: 4,9,6,2
Data C: 8,3,0,4
A) 2
B) 5
C) 7
D) 8
Which point below is not on the graph of px) = 36-X?
(-13, 7)
(-35, 1)
(11,5)
(27,3)
