Answer:
they travel 115 km/h long
5. (09.06 MC)
The graphs of the polar curves r = sin e-2 and r = cos(20 + 3) are shown.
Find the area of R, which is the region inside r = sin 6-2, but outside r = cos(20 + 3). (10 points)
31.416
12.566
15.708
0 25.133
Answer:
12.566
Step-by-step explanation:
A = ∫1/2(r)^2dtheta from a - b = 0 to 2π
∫1/2(sin^2theta-4sintheta+4)dtheta
[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…
when you solve this you get 14.137 without taking out the cos(2theta+3)
A prisoner is planning to escape from prison! The prison s gate consists of horizontal and vertical bars that are spaced one unit apart so the area of each hole between the bars is 1 x 1. The prisoner manages to remove certain bars to make some bigger holes. Determine the area of the largest hole in the gate after the bars are removed in java
Answer:
2
Step-by-step explanation:
Bernadette is a goalie and blocks the goal 20 out of 32 times. What is the experimental probability that Bernadette will block the goal on the next kick? Write your answer as a fraction, decimal, and percent.
Answer:
5/8 or 0.625 or 62.5%.
Step-by-step explanation:
20/32 Divide top and bottom by 4:-
= 5/8.
if 5-3(2a+1)=-4+10, what is the value of a+2
[tex]\\ \rm\Rrightarrow 5-3(2a+1)=-4+10[/tex]
[tex]\\ \rm\Rrightarrow 5-6a-3=6[/tex]
[tex]\\ \rm\Rrightarrow -6a+2=6[/tex]
[tex]\\ \rm\Rrightarrow -6a=6-2[/tex]
[tex]\\ \rm\Rrightarrow -6a=4[/tex]
[tex]\\ \rm\Rrightarrow a=\dfrac{4}{-6}[/tex]
[tex]\\ \rm\Rrightarrow a=\dfrac{2}{-3}[/tex]
Now
[tex]\\ \rm\Rrightarrow a+2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2}{-3}+2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2-6}{-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-4}{-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]
Answer:
7/3
Step-by-step explanation:
5 - 3(2a+1) = -4 + 10
=> 5 - 6a + 3 = 6
=> 5 - 6 + 3 = 6a
=> 2 = 6a
=> 6a = 2
=> a = 2/6
=> a = 1/3
a + 2
1/3 + 2
=> 1/3 + 6/3
=> 7/3
union and intersection of sets
Answer:
The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.
Answer:
UnionThe union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.
IntersectionIntersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.
The sum of a number and 3 is 6 less than twice that number.
Solve
Answer:
there are two operation end modes [ = , < ]
so, it remains an expression
Step-by-step explanation:
let the number be x :
[tex] \{(n + 3) = 6 \} < 2n[/tex]
The solution of the written expression, ''The sum of a number and 3 is 6 less than twice that number'' is 9.
Here,
The written expression, ''The sum of a number and 3 is 6 less than twice that number''.
We have to solve this expression.
What is Mathematical expression?
An expression consists of one or more numbers or variables along with one more operation.
Now,
Let a number is x.
By the given written expression, we can write the mathematical expression as,
x + 3 = 2x - 6
By solving;
x + 3 = 2x - 6
3 + 6 = 2x - x
9 = x
x = 9
Hence, the value of written expression is x.
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find the y-intercept and x-intercept of the line. 2x+3y= -14
Answer:
X-intercept: (-7, 0)
Y-intercept: (0, -14/4)
Step-by-step explanation:
To find the intercepts plugin 0 for one variable and solve
2x+3(0)=-14
x=-7
2(0)+3y=-14
y=-14/3
what is the length of an arc subtended by an angle of 1.25 radians in a circle with a diameter of 24 cm?
Answer:
15 cm.
Step-by-step explanation:
Recall that the arc-length of a circle is given by the formula:
[tex]\displaystyle s = r\theta[/tex]
Where r is the radius and θ is the measure of the central angle in radians.
The circle has a diameter of 24 cm, so its radius is 12 cm.
And its central angle is 1.25 radians. Hence, the arc-length will be:
[tex]\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}[/tex]
In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.
Solve for x: x + 8 = 15
Answer:
7
Step-by-step explanation:
x + 8 = 15
Subtracting 8 from both sides,
x = 15 - 8
=> x = 7
The sum of three times a number, x, and 12
Answer:
the number of the x is 5 and the number of the Y is 10
Step-by-step explanation:
school
88.98 to the nearest tenth
Answer:
89 is the answer
Step-by-step explanation:
88.98
= 89
9514 1404 393
Answer:
89.0
Step-by-step explanation:
One way to round a number is to add half the place value you're rounding to, then truncate at the desired place value.
Here, we want to round to a tenth (0.1), so we first add half that value:
88.98 + 0.05 = 89.03
Now, we throw away all digits after the tenths place.
89.0 . . . . our rounded value
A new car has a list price of $28,500 . Suppose that the dealer markup on this car is 10%. What is the dealer's cost?
Answer: 25650
Step-by-step explanation: 10% of 28500 is well 2850
28500-2850=25650
(if only i could get good rates on my car)
13. The following describes the incidence of mumps in the
United States from 1984 to 2004. From 1984 to 1985, there was
no change in the incidence of mumps, staying at about 1 case
per 100,000 people. Then there was a spike in the incidence of
mumps, which reached a peak of about 5.5 cases per 100,000
in 1987. Over the next year, there was a sharp decline in the
incidence of mumps, to about 2 cases per 100,000 people in
1988. Then, from 1988 to 1989, there was a small increase to
about 2.5 cases per 100,000 people. This was followed by a
gradual decline, which reached a minimum of about 0.1 case per
100,000 in 1999. For the next five years, there was no change in
the incidence of mumps. Sketch a graph of the function.
no
DIE
Incidence of mumps
(cases per 100,000 people)
0
Graphs can be created by inputting data in MS Excel and choosing a chart type that represents the type of data to display
Please find attached the required graph of the function of the Incidence of mumps (cases per 100,000 people)
The known data for the incidence of mumps is presented in the following table;
[tex]\begin{array}{|c|cc|}Year&&Incidence \ of \ Mumps \ per \ 100,000 \ People\\1984&&1\\1985&&1\\1987&&5.5\\1988&&2\\1989&&2.5\\1999&&0.1\\2004&&0.1\end{array}[/tex]
The data from the above table can be entered in MS Excel and a graph can be plotted as follows;
Enter the above data into Excel as shown in the above tableSelect all numerical values by clicking in the top left corner, hold down the right mouse click and drag to the bottom left cornerSelect the Insert option from the Options menuIn the Charts group, click on the down arrow beside the icon for the Insert Scatter (x, y), or Bubble ChartSelect Scatter with Straight Lines and MarkersPlease find attached the required graph created with MS Excel
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Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Please show work!!!!!!!!!!!
Refer to the equation y=mx+c
What is the best measurement to eastimate the volume of a juice box
1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.
Given a function described as the equation y = 4x - 4, what is y when x is 1, 2, and 3?
Answer:
f(1) = 0
f(2) = 4
f(3) = 8
Step-by-step explanation:
Substitute the values for the variable x.
[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]
When x= 1
y = 4(1) - 4
y = 0
when x = 2
y = 4(2) - 4
y = 4
when x = 3
y = 4(3) - 4
y = 8
QUESTION 22
Change the following improper fractions into mixed numbers or whole numbers.
25/20 =
Answer:
1 1/4
Step-by-step explanation:
25/20=5/4=1 1/4
Hope this helps, thanks!
A drink name with 3 letters
Answer:
tea
Step-by-step explanation:
just cuz lol
Answer:
Gin
Step-by-step explanation:
divide write your answer in simplest form 2/3 divided by 1/4
Answer:
8/3 or 2.6667
Step-by-step explanation:
when you divide fractions you use a technique called KCF
K = keep
C = change
F = flip
You write the equation [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]
you keep [tex]\frac{2}{3}[/tex]
you change the symbol, so from ÷ you change it to x
and flip the last fraction, so you would have [tex]\frac{4}{1}[/tex]
then you solve it
[tex]\frac{2}{3}[/tex] x [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{3}[/tex]
The result of 2/3 divided by 1/4 in simplest form is 8/3 .
Division: It is one of the four basic mathematical operation, the other three being addition, subtraction, multiplication.
Given, division of [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{4}[/tex].
Division of fractional terms:
[tex]=\dfrac{\frac{a}{b}}{\frac{c}{d}}\\= (a)\times(d)/(b)\times(c)[/tex]
Apply, division process of fractional terms.
[tex]=\dfrac{\frac{2}{4}}{\frac{1}{3}}\\ = (2)\times(4)/(1)\times(3)[/tex]
[tex]= \frac{8}{3}[/tex]
Know more about division,
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(12m^7-36m) ÷6m
Please answer. Really need help
[tex]2 {m}^{8} - 6 {m}^{2} [/tex]
Step-by-step explanation:
[tex](12 {m}^{7} - 36m) \div 6m[/tex]
➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]
➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]
➡️ [tex](2 {m}^{7} - 6m)m[/tex]
➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]
Find the measure of one interior angle of a regular 16-gon.
Answer:
157.5
Step-by-step explanation:
14×180/16
= 315/2
= 157.5
Answer:
Step-by-step explanation:
16 sides
n-2=14
14x 180 = 2250
2250/16 =157.5 = 158
(15-12)2-2+5=
20+23×3-1=
[4(3+2)-4]+42
Answer:
Here is your answer . Hope this is helpful to you.
Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
Evaluate the expression for the given values of the variables. x2 + 4(x − y) ÷ z2, for x = 8, y = 5, and z = 2
Help me pleaseeee help help
Answer:
Step-by-step explanation:
x^2+6x+5-4y-y^2 factorize
Answer:
(x+y+5)(x-y+1)
Step-by-step explanation:
factor by grouping
x^2+6x+5-4y-y^2
x^2+6x+9 - (y^2+4t+4) + 5-9+4
(x+3)^2 - (y+2)^2
(x+3+(y+2))(x+3-(y+2))
(x+y+5)(x-y+1)
in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill
Two less than the product of 3 and a number is equal to 6
Answer:
8/3
Step-by-step explanation:
Let x represent the number.
Create an equation to represent the situation, and solve for x:
3x - 2 = 6
3x = 8
x = 8/3
So, the number is 8/3.
Indicate which is the largest decimal in each of the following pairs.
0.0006 and 0.006
Answer:
0.006 is the larger decimal
Answer:
0.006 is the right answer
Step-by-step explanation:
Since (0.006) has the least amount of zeros after the decimal, it would be larger than the other decimal that has more zeros after the decimal.
