Answer:
x=1, y= -1
Step-by-step explanation:
An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds. Write
a pair of parametric equations to model the path of the beetle. Which point represents the location of the beetle 5
seconds after starting?
Answer:
It actually (70, 195)
Step-by-step explanation:
The point that represents the location of the beetle 5 seconds after starting are; (70, 195).
How to define Parametric Equations?The pair of parametric equations to model the path of the beetle is;
x(t)= 14t and y(t)= 37t + 10
An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds.
Proving the answer;
At t(0,10), x = 0 and y = 10
Thus;
For X-coordinate;
x(0) = 14(0)
x(0) = 0
Similarly;
For y-coordinate;
y(0) = 37(0) + 10
y(0) = 10
That corresponds with the coordinate t(0, 10).
At t = 2 seconds, we have;
For x-coordinate;
x(2) = 14(2)
x(2) = 28
Similalry, for the y-coordinate;
y(2) = 37(2) + 10
y(2) = 160
Now, At t = 2 seconds, we have;
For x-coordinate;
x(5) = 14(5)
x(5) = 70
Similalry, for the y-coordinate;
y(5) = 37(5) + 10
y(5) = 195
The point that represents the location of the beetle 5 seconds after starting are; (70, 195).
Read more about Parametric Equations at;
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One afternoon, 27 people withdraw $100 from an ATM. What was the overall change in the amount of money in the machine?
Answer:
The change is a decrease of $2700.
Step-by-step explanation:
Given
Total Number of people = 27
Amount each person withdrew = $100
The total withdrawn amount by 27 people = 100 × 27
= $2700
Let M be the amount of money in the ATM at the beginning.
As $2700 was drawn from the ATM, therefore, the change the amount of money in the machine will be:
M - 2700It means the change is a decrease of $2700.
if the second term of a geometric series is 48 and its fifth term is 6 then find the sum of its first term 6 terms
Answer:
The answer is 189.
Step-by-step explanation:
This geometric sequence is actually just a division of 2 for every term downwards. Therefore, we can see the first term is [tex]48 \cdot 2[/tex] which is 96. Hence, we can work our way down from there:
List:
First term: 96
Second term: 48
Third term: 24
Fourth term: 12
Fifth term: 6
Sixth term: 3
Now, all we have to do is to add all the first 6 terms together to get:
[tex]96 + 48 + 24 + 12 + 6 + 3[/tex]
[tex]= 189[/tex]
The answer is 189.
Hope this helped!
Can you please help me?
Answer:
C = 21.98 in
Step-by-step explanation:
C = πd,
where C is the circumference, π equals 3.14, and d is the diameter.
C = πd
C = (3.14)(7)
C = 21.98 in
Hope this helps!
2 over 5 divided by 6 over 7
Answer:
7/ 15
Step-by-step explanation:
2/ 5 × 7/ 6
reduce the numbers
1/ 5 × 7/ 3
multiply
= 7/ 15
hope it helps!
Solve for x -5|x+ 1| =10
Step-by-step explanation:
x-5(x+1)=10
x-5x-5=10
-4x-5-10=0
-4x-15=0
-4x=-15
x=-15/-4
x=3.75
sorry...the answer is wrong..dont write
Answer:
no solution
Step-by-step explanation:
Given
- 5 | x + 1 | = 10 ( divide both sides by - 5 )
| x + 1 | = - 2
To have a solution the right side of the equation must be positive or zero
No absolute value can have a negative solution
Thus the equation has no solution
can somebody please help
Answer and Step-by-step explanation:
1. 3(5x - 4) = 8x + 2
15x - 12 = 8x + 2
15x - 8x = 2 + 12
7x = 14
x = 2
2. 9(n + 3) = 7n - 3
9n + 27 = 7n - 3
9n – 7n = -3 – 27
2n = – 30
n = –15
3. 2(10 - 6x) = x - 8x
20 - 12x = -7x
20 = -7x + 12x
20 = 5x
x = 4
4. 5a + 4(3a - 8) = 4 + 13a
5a + 12a - 32 = 4 + 13a
17a - 32 = 4 + 13a
17a - 13a = 4 + 32
4a = 36
a = 9
5. 2y + 18 = 12 - 6(y + 7)
2y + 18 = 12 - 6y - 42
2y + 6y = 12 - 42 - 18
8y = -48
y = -6
6. x - (5 - 3x) = 7x + 4
x - 5 + 3x = 7x + 4
4x - 7x= 4 + 5
-3x = 9
x = -3
7. 8(m - 5) = 2(3m - 8)
8m - 40 = 6m - 16
8m - 6m = -16 + 40
2m = 24
m = 12
8. -4(3 - 6d) = 9(2d - 2)
-12 + 24d = 18d - 18
24d - 18d = -18 + 12
6d = -6
d = -1
9. 7(10 - 3w) = 5(15 - 4w)
70 - 21w = 75 - 20w
-21w + 20w = 75 - 70
-w = 5
w = -5
10. 6t + 3(5t - 4) = 12(2t - 5)
6t + 15t - 12 = 24t - 60
21t - 24t = -60 + 12
- 3t = -48
t = 16
11. 2(9x - 1) = 99 - 7(3 - 4x)
18x - 2 = 99 - 21 + 28x
18x - 28x = 99 - 21+2
-10x = 80
x = -8
12. 6(5k - 8) - 20 = 11(2k - 3) + 3k
30k - 48 - 20 = 22k - 33 + 3k
30k - 68 = 25k - 33
30 - 25k = -33 + 68
5k = 35
k = 7
13. - x - (13 + 4x) = -3(5 - 9x) + 2
-x -13 - 4x = -15 + 27x + 2
-5x - 13 = -13 + 27x
-13 + 13 = 27x + 5x
0 = 32x
x = 0
Find the measure of each angle in the triangle.
Answer:
x=26°
Step-by-step explanation:
3x-14+x+90=180
4x-14=90
4x=104
x=104/4
x=26°
Chapter 1: Quadrati
END-OF-CHAPTER REVIEW EXERCISE 1
1
A curve has equation y = 2xy+ 5 and a line has equation 2x + 5y = 1.
The curve and the line intersect at the points A and B. Find the coordinates of the midpoint
of the line AB
Answer:
mid point of AB (0.5 , 0)
Step-by-step explanation:
2x + 5y = 1 2x = 1 - 5y
y = 2xy+ 5 = (1 - 5y)*y + 5 = y - 5y² + 5
y-y = y - 5y² + 5 - y = - 5y² + 5
0 = - 5y² + 5
5y² = 5
y² = 1
y = 1 or y = -1
if y = 1 x = 1/2 (1 - 5) = -2 .... point A (-2 , 1)
if y = -1 x = 1/2 (1 + 5) = 3 ..... point B (3 , -1)
mid point of AB (x' , y') : x' = 1/2 (x₁ + x₂) = 1/2 (-2 + 3) = 1/2
y' = 1/2 (y₁ + y₂) = 1/2 (-1 + 1) = 0
A spherical balloon is being deflated at a rate of 5 cubic centimeters per second. At what rate is the radius of the balloon changing at the instant the volume of the balloon 972pi cm^3?
Answer:
0.0048cm/s
Step-by-step explanation:
Volume of the spherical balloon is expressed as;
[tex]V = 4/3 \pi r^3\\[/tex]
dV/dt = dV/dr * dr/dt
Given
dV/dt = 5cm³/s
dV/dr = 4πr²
Since V = 972picm³
972π = 4/3πr³
972 = 4/3r³
4r³ = 972 * 3
r³ = (972 *3)/4
r³ = 729
r = ∛729
r = 9cm
dV/dr = 4π(9)²
dV/dr = 324π
dV/dt = dV/dr * dr/dt
5 = 324πdr/dt
dr/dt = 5/324π
dr/dt = 5/324(3.14)
dr/dt = 5/1017.36
dr/dt = 0.0048cm/s
hey ok so i’m having trouble with my math test and i need help ASAP. someone please help me answer the following questions.
Answer:
9 a) degree is 4 and variable is 0 and co efficient is z
b) degree is 5 and the constant term is 7
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x-12y = -84
Answer: x-3y+21=0
Step-by-step explanation:
move the constant to the left then divide both sides then booom
Fast!!! Plz Help, Fill this out for me!!!!!!!!! Will give brainliest and it is also 15 points
Identify an equation in point-slope form for the line perpendicular to
y=1/4x-7 that passes through (-2,-6).
A. y+6= -4(x+2)
B. y+6= -1/4(x+2)
C. y+2 = -4(x+ 6)
D. y-6=1/4(x-2)
Given:
Equation of line is [tex]y=\dfrac{1}{4}x-7[/tex].
The perpendicular line passes through (-2,-6).
To find:
The point slope form of perpendicular line.
Solution:
We have,
[tex]y=\dfrac{1}{4}x-7[/tex]
On comparing this equation with [tex]y=mx+b[/tex], we get
[tex]m=\dfrac{1}{4}[/tex]
Slope of given line is [tex]\dfrac{1}{4}[/tex].
Product of slopes of two perpendicular of the lines is -1.
So, [tex]Slope\times \dfrac{1}{4}=-1[/tex]
[tex]Slope=-4[/tex]
Slope of required line is -4 and it passes through (-2,-6). So, the point slope form is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-(-6)=-4(x-(-2))[/tex]
[tex]y+6=-4(x+2)[/tex]
Therefore, the correct option is A.
How do I find the missing length
Answer:
KJ = 40
Step-by-step explanation:
Usinh the similarity factor, LJ is similar with PR and QR is similar to KJ
and the similarity ratio is 56/42 = 4/3
which means KJ/30 = 4/3 cross multiply expressions
KJ = 40
Solve for x: -4|x +5| =-16
Answer:
|x+5|=-16/-4
|x+5|=4
x=4-5
x=-1
Answer:
Step-by-step explanation:
-4(x + 5)=-16
-4 x x - 4 x 5=-16
-4x - 20=-16
-4x - 20 + 20=-16+20
-4x=4
-4x/-4=4/-4
x=-1
In the triangle shown below, which altitude length can be found without using the Distance Formula? What is the length?
Answer: a.) the altitude from N to line LM 6 units
Step-by-step explanation: Looking at the graph, you can count the units from the point N to the line, or you can find the difference between 4 and -2: 4- (-2) = 6
The altitude from N to LM is 6 units. Therefore, option A is the correct answer.
From the graph, triangle LMN is given.
What is the altitude length?The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.
From the given graph we can see, the altitude from N to LM is 6 units.
Therefore, option A is the correct answer.
To learn more about the altitude of a triangle visit:
https://brainly.com/question/28685698.
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PLEASE HELP ASAP THIS IS TIMED
Answer:
B
Step-by-step explanation:
1 4/5
How can I divide 18/15 without any leftovers
Answer:
You can turn the leftovers into a decimal. the answer you would get would be 1.2.
Step-by-step explanation:
Hope this helps and have a nice day!
Answer:
Calculate out how many times the denominator goes into the numerator. To do that, divide 18 by 15 and keep only what is to the left of the decimal point:
18 / 15 = 1.2000 = 1
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
18 - (15 x 1) = 3
Keep the original denominator and use the answers from Step 1 and Step 2 to get this:
1 3/15
Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 18/15 as a Mixed Number is:
1 1/5
Which would also equal to 1.2000.
Hope this kinda helped and made some sense.
(☞ﾟヮﾟ)☞BRAINIEST☜(ﾟヮﾟ☜)
Step-by-step explanation:
Line l is parallel to line m. If the measure of <6 is 75o, what is the measure of <2?
Answer:
∠ 2 = 75°
Step-by-step explanation:
∠ 6 and ∠ 2 are corresponding angles and are congruent, thus
∠ 2 = ∠ 6 = 75°
FIRST CORRECT ANSWER WILL BE MARKED BRAINLEST
Type SSS, SAS, ASA, SAA, or HL
to justify why the two smaller triangles are
congruent.
Answer:
SSS
BC = CB (COMMON)
AB = DC (DATA)
AE+EC = DE + EB
I'll give brainliest
9514 1404 393
Answer:
x = -2 or 3
Step-by-step explanation:
Let z = 2^x. Then the equation becomes ...
[tex]2^{2x+2}+8=33(2^x)\\\\(2^2)(2^x)^2+8=33(2^x)\\\\4z^2+8=33z \qquad\text{substitute $z$ for $2^x$}\\\\4z^2-33z+8=0 \qquad\text{put the quadratic in standard form}\\\\(4z-1)(z-8)=0 \qquad\text{factor}\\\\z=\dfrac{1}{4}\text{ or }z=8\qquad\text{values of z that make the factors 0}\\\\x=\log_2{z}=\{-2,\ 3\}[/tex]
The values of x that satisfy the equation are -2 and 3.
_____
For the graph, we rewrite the equation to the form ...
f(x) = 0
where
f(x) = 2^(2x+2) +8 -33(2^x)
Then the x-intercepts of the function are the solution values for x.
what is the slope of (18,-5),(18,20)
Answer:
0/-25
Step-by-step explanation:
You use the slope formula the first x value you divided by the second x value and then put that at the numerator which equals 0 and the repeat with the y values and put the difference at the denominator and that equals -25
One serving of Raisin Bran cereal contains 50 percent of the 18 mg Daily Value for iron. How much iron will one serving of your cereal provide
Answer:
9 mg
Step-by-step explanation:
We are told in the question above that:
One serving of Raisin Bran cereal contains 50 percent of the 18 mg Daily Value for iron.
Hence, the amount of iron in 1 serving of Raisin Bran cereal =
50% × 18mg
50/100 × 18 mg
= 9 mg
PLEASE HELP “Determine whether the triangles are congruent. if so, name the postulate or theorem that justifies your answer.”
Answer: the triangles are congruent because
Step-by-step explanation: if you put them over lapping and switch the triangles then it would be the same. but you cant use this in your B answer.
HELP PLEASE!! Algebra II
Answer:
Step-by-step explanation:
J is correct.. that function can never be less than 2
plzzz z z z z helpp p p p
Answer:
Step-by-step explanation:CAN I HAVE YOURE POINTS AND ITS THE SECOND ONE
what is 15/ 30 plzzzzzzzzzzz help
Answer:
Wow, you're dense. It's 1/2, or 0.5
Step-by-step explanation:
hope i helped, but seriously.
Answer:
15/30=0.5
Step-by-step explanation:
15/30 =0.5
Bryce has 10 bals in a bag, each having a distinct color. He randomly picks a ball from the bag 4 times, with replacement. The expected number of distinct colors among the 4 balls Bryce picks can be expressed as a simplified fraction p q . Find p q.
Answer:
p = 1 ; q = 10,000
Step-by-step explanation:
Number of distinct colored balls = 10
Number of balls picked with replacement = 4
Probability = (number of required outcome / number of total possible outcomes)
Distinct picks :
P(1st) = 1 /10
P(2nd) = 1/10
P(3rd) = 1/10
P(4th) = 1/10
Expected Numbe of distinct color:
P(1st) * P(2nd) * P(3rd) * P(4th)
1/10 * 1/10 * 1/10 * 1/10
= 1/10000
p/q = 1/ 10000
p = 1 ; q = 10,000
Find the surface are of a cylinder with a base diameter of 10m and a height of 7m. WLL GIVE BRAINLIEST IF U HAVE AN ACCURATE EXPLANATION!
Answer:
hi
Step-by-step explanation:
im adding an answer so u can giveee the guy brailiestz
Answer:
376.8 m²
Step-by-step explanation:
The formula for finding the surface area of a cylinder is SA=2πr²+2πrh, where r is the radius of the base and h is the height of the cylinder. Using the diameter of the base, we can first calculate that the radius of the base is 10/2=5 meters. Then, we can plug our values into the equation.
SA=2πr²+2πrh
SA=2π(5)²+2π(5)(7)
SA=2π(25)+2π(35)
SA=50π+70π
SA=120π
Because the question asks us to use 3.14 for π, we plug that into our equation.
SA=120(3.14)
SA=376.8 m²
I hope this helps!