What you have to do is find the area of the whole rectangle, then subtract of the empty parts:
50*48-0.5(50-41)(48)-6.5(pi(5/2)^2)-1.5pi(4^2)-pi(5^2)-pi=1899.293mm^2
Explanation:
The first subtraction is the area of the triangle. The rest are the combined areas of the circles and semicircles (semicircles are just half the area of a circle)
Answer:
1899.293mm^2
Which description best compared the graph of the two functions below?
Answer:
The description that best compares the graph of the two function is:
The line for function A is steeper.
Step-by-step explanation:
Answer:
The line for function a is a steeper
Step-by-step explanation:
15)
Which expression is a PRODUCT?
A)
8(6+ 3)
B)
8
(6 + 3)
5(2) + 2(6 x 3)
D)
5(2 + 3) - 4(8 + 1)
Step-by-step explanation:
the answer is
A,72
B,739
D,-11
Why are the units of area squared? How does this help us remember the formula for area of a circle?
Answer:
Area is a size measurement of a two-dimensional surface. Those dimensions (x and y) are perpendicular to each other, and thats why it is squared.
HELPPPP
Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6. What is the probability that an incoming freshman scores between 61.6 and 80.2?
Answer:
The probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498
Step-by-step explanation:
We are given that Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6.
Mean = [tex]\mu = 76[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
we are supposed to find the probability that an incoming freshman scores between 61.6 and 80.2 i.e. P(61.6<x<80.2)
Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]
At x = 61.6
So,[tex]Z=\frac{61.6-76}{6}[/tex]
Z=-2.4
Refer the z table for p value
So,p value =0.0082
At x = 80.2
So,[tex]Z=\frac{80.2-76}{6}[/tex]
Z=0.7
Refer the z table for p value
So,p value =0.7580
P(61.6<x<80.2)=P(x<80.2)-P(x<61.6)=0.7580-0.0082=0.7498
Hence the probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498
A cereal box is a rectangular prism.
Find the surface area of the cereal box.
H =20 cm
L =10 cm
W = 3 cm
Answer:
580 cm squared
Step-by-step explanation:
(20 x 10)2 = 400
(20 x 3)2 = 120
(10 x 3)2 = 60
400 + 120 + 60 =
580
Solve for x
8+10x-3x^2=0
Answer: x = 4
or x= -2/3 = -0.667
Step-by-step explanation:
Jessica has been tracking the population of a town. The population was 8,230 last year and has been increasing by 1.25 times each year. How can Jessica develop a function to model this?
Answer:
Population at start : 8,230.
The rate of growth: r = 1.25
x - number of the years;
Answer:
B ) f ( x ) = 8,230 * ( 1.25 ) ^x where 1.25 is the rate of growth.
Step-by-step explanation:
Jessica develops a function to model this 8230(1.25)ˣ, where 1.25 is the rate of growth.
What is exponential population growth?In an ideal condition where there is an unlimited supply of food and resources, the population growth will follow an exponential order.
Jessica has been tracking the population of a town.
The population was 8,230 last year and has been increasing by 1.25 times each year.
The population growth function is;
[tex]\rm f(x)=P_0 x^t[/tex]
Substitute all the values in the formula;
[tex]\rm f(x)=P_0 x^t\\\\f(x) = 8230 (1.25)^x[/tex]
Hence, Jessica develops a function to model this 8230(1.25)ˣ, where 1.25 is the rate of growth.
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Which of the following number lines represents the solution to m/-2 - 7 = -9?
Answer:
Step-by-step explanation:
Answer: m=1
Step-by-step explanation:
What is $526.36 rounded to the nearest 10 dollars?
526.36 rounded will be =
= 530
please help me please please please please
Answer: [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3}-(-5)=[/tex]
Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.
[tex]-\frac{2*3+1}{3} -(-5)=[/tex]
Solve;
[tex]-\frac{6+1}{3} -(-5)=[/tex]
[tex]-\frac{7}{3} -(-5)=[/tex]
Now, get rid of the two negatives by multiplying.
[tex]-\frac{7}{3} +5=[/tex]
Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.
[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]
To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.
[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]
Solve;
[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]
Subtract numerators and keep the same denominator.
[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]
Convert to a mixed number. To do this, first, divide:
8/3=2
6
----
2
The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]
plz help
In order to transport goods, there are 16 vans total, and each must make 12 trips. How many vans will be needed in order to transport the same amount of cargo, if the number of trips that one van takes is increased by one-third?
Answer:
you will need 21 vans total
Answer:
12 Vans
Step-by-step explanation:
16*12=196
196/(12+1/3*12)=196/16=12
Volume task
A box 2 centimeters high, 3 centimeters wide, and 5 centimeters long can hold 40 grams of clay. A second box has twice the height, three times the width,
and the same length as the first box. How many grams of clay can it hold?
Answer:
grams of clay it can hold = 6 × 40 = 240 grams
Step-by-step explanation:
The first box has a height 2 cm , width of 3 cm and a length of 5 cm. The box can only hold 40 grams of clay . The volume of the box can be calculated as follows
volume = length × width × height
height = 2 cm
width = 3 cm
length = 5 cm
volume = 5 × 3 × 2 = 30 cm³
The second box has twice the height of the first box , 3 times the width of the first box and retains the same length of the first box. The dimension are as follows
height = 2 × 2 = 4 cm
width = 3 × 3 = 9 cm
length = 5 cm
volume = length × width × height
volume = 5 × 9 × 4 = 180 cm³.
The volume of the second box is 6 times bigger than the first box therefore , it can hold 6 times the weight of the first box.
grams of clay it can hold = 6 × 40 = 240 grams
which of the following graph represents the equation y=2x+2?
help please asap :))
Answer:
40
Step-by-step explanation: 13 + 6 + 15 + 6 = 40 ( : - ]
Below is the graph of equation y=− |x−2| +2. Use this graph to find all values of x such that y>0
Answer:
Value of y > 0 at [tex]x = \{0, 1, 2, 3, 4\}[/tex]
Step-by-step explanation:
As seen from the graph attached in answer area as well, The graph is above x-axis (i.e. y value of equation) only when x has values {0, 1, 2, 3, 4}.
At x = 0:
[tex]y = -|0-2| + 2 \\\Rightarrow -2 + 2\\ \Rightarrow y = 0[/tex]
At x = 1:
[tex]y = -|0-1| + 2 \\\Rightarrow -1 + 2\\ \Rightarrow y = 1[/tex]
At x = 2:
[tex]y = -|2-2| + 2 \\\Rightarrow 0 + 2\\ \Rightarrow y = 2[/tex]
At x = 3:
[tex]y = -|3-2| + 2 \\\Rightarrow -1 + 2\\ \Rightarrow y = 1[/tex]
At x = 4:
[tex]y = -|4-2| + 2 \\\Rightarrow -2 + 2\\ \Rightarrow y = 0[/tex]
Value of y > 0 at [tex]x = \{0, 1, 2, 3, 4\}[/tex]
By visual inspection, determine the best-fitting regression
model for the data plot below.
Answer:
A. linear
Step-by-step explanation:
A linear model is the best-fitting regression model for the data plot because for similar variations in x values, the variation in y values are also similar, that is, if you take points (x1, y1), (x2, y2) and (x3, y3) the y1 - y2 is similar to y2 - y3, when x2 - x1 is also similar to x3 - x2.
Answer:
Linear
Just took the quiz!
I have no access at 6 pm
Answer:
A and E
Step-by-step explanation:
I would plug in N as any number just to see if they are equal. I did 5.
A. 28(5)-35= -105
B. 28(5-35)= -840
C. 28(5-7)= -56
D. 7(4*5-35)= -105
E. 7(4*5-5)= 105
Using the identity
2
θ
+
2
θ
=
1
sin
2
θ+cos
2
θ=1, find the value of
cos
θ
cosθ, to the nearest hundredth, if
sin
θ
=
−
0.31
sinθ=−0.31 and
π
<
θ
<
3
π
2
π<θ<
2
3π
.
Answer:
can you fix the post so that it is not formatted weird?
Step-by-step explanation:
PLEASE MARK BRAINIEST!!
The required value of cos θ is approximately -0.95.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
We are given that sin θ = -0.31 and π < θ < 3π/2.
Since sin θ = -0.31 is negative, we know that θ is in the third quadrant.
Using the identity 2θ + 2θ = 1,
We can rewrite it as:
2θ = 1 - 2θ.
Squaring both sides, we get:
4θ² = 1 - 4θ + 4θ²
Simplifying, we get 8θ = 1, which means θ = 1/8π.
Since θ is in the third quadrant, we have cos θ < 0.
Using the identity cos² θ + sin² θ = 1, we can solve for cos θ as follows: cos² θ = 1 - sin² θ
cos² θ = 1 - (-0.31)²
cos² θ = 0.9039
cos² θ ≈ -0.95
Therefore, the value of cos θ is approximately -0.95.
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Find the interquartile range (IQR) of the data plot below
Answer:
3.5
Step-by-step explanation:
0 1 1 3 3 3 4 5 7
median= 3
Q1= 1
Q3= 4.5
4.5-1= 3.5
Answer:3.5
0,1,1,3,3,3,4,5,7
wil give bianleast
Find the first term in the pattern with the formula: 40 • 6n – 1.
40
0
1440
240
Step-by-step explanation:
I think 40 should be the first term in the sequence because it is given 40.. 6n - 1
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
7x-y=7
x+2y=6
Answer:
x = 4 / 3, y = 7 / 3
Step-by-step explanation:
We are given the following system of equations;
{ 7x - y = 7, ⇒ Let us multiply the first equation by 2,
x + 2y = 6 }
2 * ( 7x - y = 7 ) ⇒ 14x - 2y = 14 ⇒ Now add the two equations
+ x + 2y = 6 + x + 2y = 6
14x + x = 14 + 6 ⇒ Simplify
15x = 20,
x = 4 / 3 ⇒ Now substitute this value of x into the first equation to solve for the value of y,
7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,
28 / 3 - y = 7,
y = 7 / 3
Solution; x = 4 / 3, y = 7 / 3
B
The measure of ZDAB equals 110° The
measure of ZACB equals 20°.
What is mZ ABC?
D
A
Enter your answer in the box
Answer:
Given
¯¯¯¯¯¯¯¯¯
D
A
C
is a straight line, we can say its full measurement is 180°. If we know a segment of this angle,
∠
D
A
B
, is 105°, we can know that the other segment
∠
B
A
C
must equal 75, since
105
+
75
=
180
.
Once we've found the measure of
∠
B
A
C
to be 75°, and given the measure of
∠
A
C
B
to be 35, we can then find the measurement of
∠
A
B
C
.
Since we know that the sum of any triangle's angles is 180°, we can then use these known measurements as I said above.
75
+
35
+
m
∠
A
B
C
=
180
110
+
m
∠
A
B
C
=
180
m
∠
A
B
C
=
70
What is the constant in -4×_9
Answer:
Do u have like a worksheet for the problem because that kinda confusing , but I would love to help if you could screens shot or post the pic.
Step-by-step explanation:
A dice has the numbers 1-6 on it. Which of the events below has a higher probability of occuring?
а
an odd number
b
an even number
C
a number less than 5
d
a number greater than 3
Answer:
a number less than five
Answer:
So the number that has the greatest probability is a
Number less than 5
Step-by-step explanation:
odd numbr is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
Even number is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
a number less than 5 is [tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]
A number greater than 3 is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
Help asap
Find the surface area of a cylinder with 50 inches long and a raduis of 2 inches
Answer:
653.45
Step-by-step explanation:
Answer:
A≈653.45in
A=2πrh+2πr2=2·π·2·50+2·π·22≈653.45127in²
Which expression is equal to 420−−√−345−−√?
115√
−115√
5√
−5√
Answer:
[tex]-\sqrt{5}[/tex]
I hope that this helps anyone in the future! I took the test and got a good grade thanks to the anwser above
Express your answer in scientific notation. 4.9 x 10^4 - 8200
Answer:
4.0800*10^4
Step-by-step explanation:
4.9*10^4=49000
49000-8200=40800
since we can only have base numbers 1-9 in scientific notation, we need to move the decimal left 4 places:
4.0800*10^4
Hope this helps!
The scientific notation, of the given number is 4.0800×10⁴
Given the number is 4.9×10⁴-8200
4.9×10⁴ = 49000
49000-8200 = 40800
Since we can only have base numbers 1-9 in scientific notation, we need to move the decimal left 4 places:
4.0800×10⁴
Hence, the scientific notation, of the given number is 4.0800×10⁴
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help will give you brainliest!!!
Answer:
Hello There Again. The correct answer is B. C. And E.
Explanation:
Because it shows that Stacy section of the numbers 2, 3, 4, 5, and 6 to play they game. but the statement Is D. but why is D. because it say that it is less likely that the power will on add numbered section and why i pick E. because it shows that Stacy use the spinner of the six number to play the game. And why it B. because of the pointer of the landing is a even-numbered section. Hope It Helps! .ω.
What’s the answer
m 1 = 3x, m 2 = 4xº, m 3 = 2x, find x.
10
20
30
40
Answer:
x = 20
Step-by-step explanation:
assuming if this was a triangle
3x + 4x +2x = 180
9x = 180
180/9 = 20
Answer:
20
Step-by-step explanation:
You know that the angle measurements in a triangle add up to 180 degrees.
using the equation 3x+4x+2x= 180, you can find x
Simplify:
9x=180
x=20
Your answer is B) x = 20
Hope this helps!
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]