Answer:
Option B.
Step-by-step explanation:
It is given that erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. So, the required sequence is
100, 105, 110, 115, ...
It is an AP. Here,
First term = 100
Common difference = 5
Explicit formula for an AP is
[tex]a_n=a_1+(n-1)d[/tex]
where, [tex]a_1[/tex] is first term and d is common difference of the AP.
Substitute [tex]a_1=100\text{ and }d=5[/tex] in the above formula.
[tex]a_n=100+(n-1)5[/tex]
Therefore, the required explicit formula is [tex]a_n=100+(n-1)5[/tex].
Hence, option B is correct.
The following quadrilateral is a parallelogram.
S
T
3x - 8
x + 10
U
The length of side TU is __units long.
Answer:
19 units
Step-by-step explanation:
In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units
The length of the side TU of the parallelogram is 19 units long.
What is a parallelogram?A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.
How to solve the given question?In the question, we are given a parallelogram STUV.
The length of the side TU is given as x + 10.
The length of the side VS is given as 3x - 8.
As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.
∴ TU = SV
or, x + 10 = 3x - 8
or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)
or, -2x + 10 = -8 (Simplifying)
or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)
or, -2x = -18 (Simplifying)
or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)
or, x = 9 (Simplifying).
Now, TU = x + 10 = 9 + 10 = 19.
∴ The length of the side TU of the parallelogram is 19 units long.
Learn more about parallelograms at
https://brainly.com/question/24056495
#SPJ2
PLEASE HELP! Tamara knows that the arithmetic mean of her five quiz scores is 95%. However, she has misplaced one of these quizzes. The ones she can find have scores of 100%, 100%, 99% and 98%. What is her score on the misplaced quiz?
Please help me asap!!!!!?
Answer:
D
Step-by-step explanation:
the scale factor will be the square of the fraction
7/4 =49/16
Answer:
D
Step-by-step explanation:
CAN SOMEONE PLEASE HELP I WILL GIVE MORE POINTS AND BRAINLIEST.
Answer:
The answer is A
Step-by-step explanation:
Process of elimination. None of the others make sense.
Answer:
x = 2 or x = -4
Step-by-step explanation:
Solve for x over the real numbers:
-x^2 - 2 x + 8 = 0
Multiply both sides by -1:
x^2 + 2 x - 8 = 0
Add 8 to both sides:
x^2 + 2 x = 8
Add 1 to both sides:
x^2 + 2 x + 1 = 9
Write the left hand side as a square:
(x + 1)^2 = 9
Take the square root of both sides:
x + 1 = 3 or x + 1 = -3
Subtract 1 from both sides:
x = 2 or x + 1 = -3
Subtract 1 from both sides:
Answer: x = 2 or x = -4
TJ's Cat Food plans to use tins that are the shape of cylinders.
The internal measurements of a tin are shown.
8 cm
T
5 cm
I
b) Calculate the volume of cat food that the tin contains.
Round your answer to 1 decimal place
Answer:
V = 251.3 cm³
Step-by-step explanation:
Diameter 8 cm
Radius = 4 cm
Height = 5 cm
Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]
Where r = 4 cm, h = 5 cm
V = (3.14)(4)²(5)
V = (3.14)(16)(5)
V = 251.3 cm³
Answer:
251.3 cm³
Step-by-step explanation:
The diameter is 8 cm
So the radius is 8/2 = 4 cm
The height is 5 cm
Volume of tin can:
[tex]\pi r^2 h[/tex]
r = 4 & h = 5
[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]
Select the reason why these triangles are similar. If they are not, select “not similar”
Answer:
B. SAS
Step-by-step explanation:
3/1= 2.25/075
The 2 sides are congruent and the angle between them is common
B. SAS is the answer
Consider the following position function. Find (a) the velocity and the speed of the object and (b) the acceleration of the object.
r(t) = (9,t^3, e^-t), for t greater than or equal to 0
Answer: v = 3t^2, -e^-t ;
Speed = √ 9t^4 + (-e^-t)^2 ;
a(t) = 6t, e^-t
Step-by-step explanation:
Given the position function at time 't' for t greater than or equal to 0:
r(t) = (9,t^3, e^-t)
The Velocity of 'v' is the first derivative of r with respect to 't' :
d/dt(9) = 0
d/dt(t^3) = 3t^3-1 = 3t^2
y = (e^-t) =
Using chain rule :
Let u = -t
y = e^u ; dy/du = e^u
du/dt = -1 ;
Therefore dy/dt = dy/du * du/dt
dy/dt = -1 * e^u ; -e^u ; u = -t
dy/dt = -e^-t
Therefore,
v = 3t^2, -e^-t
The magnitude of velocity 'v ' = speed
Speed = √v1^2 + v2^2
Speed = √(3t^2)^2 + (-e^-t)^2
Speed = √ 9t^4 + (-e^-t)^2
Acceleration(a) = derivative of velocity
d/dt(3t^2) = 6t
d/dt (-e^-t) :
Using chain rule :
dy/dt = -e^-t
Let u = -t ; du/dt = -1
-e^u ; dy/du = -e^u
Therefore, dy/dt = -1 * -e^u
u = -t
dy/dt = e^-t
Therefore, acceleration:
a(t) = 6t, e^-t
someone please explain this to me!! i don’t understand how they got this answer??
Answer [tex]67\leq t\leq 87=15[/tex]
Step-by-step explanation: It's asking for the range so you have to subtract the the lowest temp with the highest temp. The highest temp is 82 and the lowest 67. 82-67 is 15 but they asked you to write it inequality so [tex]67\leq t \leq 87 = 15[/tex]
WILL MARK BRAINLIEST!!! Find and post a picture of a number line with a whole dot on 7 and shading to the left
Answer:
7, with shaded dot (I hope this helps you)
Explanation:
Which number added to a rational number will always result in an irrational number?
Answer:
The sum of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that ½+√2 is irrational.
Step-by-step explanation:
Which of the following is the quadratic parent function?
O A. Fx) = x2
O B. AX) = x+1
O c. Fix) = 2x
O D. Ax) = x
Answer:
Answer: Option A F(x)=
Explanation:
Quadratic function is the function which has degree two
Degree is the highest power of a polynomial
In option B we have |x| in which degree is one hence, discarded
In option C we have in which degree is three hence, discarded
In option D we have x which is a linear function being of degree one. Hence, discarded.
Which points are 19 units apart?
0 (-14, 12) and (5, 12)
0 (-5, 19) and (-12, 19)
0 (-20, 5) and (1,5)
O (14, 12) and (5, 12)
Answer:
Third option
Step-by-step explanation:
Plot the following (-20,5) , (1,5)
[tex]20 - 1 = 19[/tex]
Or you can just count the units from (-20,5) to (1,5) which is a 19 unit difference, remember that units is per square. The answer is the third option.
Hope this helps.
Answer:
It is the first option: (-14, 12) and (5, 12).
Step-by-step explanation:
Because the x-values are -14 and 5, and 5 - (-14) is 19, whereas the y-values stay the same. So the points (-14, 12) and (5, 12) are 19 units apart. You can also graph this and count the units from -14 to 5.
For a randomly selected driver, are the events "driving while using a cell phone" and "having a traffic accident" independent events? Explain your answer. PLEASE HELP :(
Answer:
Let's denote:
The event of driving while using a cell phone: A
The event of having a traffic accident: B
The event of driving while using a cell phone and having a traffic accident: A⋂B
P(A) = 11% = 0.11
P(B) = 5.26% = 0.526
P(A⋂B) = 28% = 0.28
If event A and event B are independent (it means the cause of a traffic accident is nothing related to driving while using a cell phone), then:
P(A) x P(B) = P(A⋂B)
Let's check:
P(A) x P(B) = 0.11 x 0.526 = 0.05786 and not equal to P(A⋂B) = 0.28
=> Event A and event B are not independent. In other words, they are related. (it means driving while using a cell phone is one of the reasons for having a traffic accident)
PLZ HELP!! HURRY!!!30POINTS!!
Answer & Step-by-step explanation:
which of the following is the solution to the inequalitY
below. (-5x-10 <20)
A.x > -6
B. x > -2
C. x < -6
D. x < -2
Answer:
The answer is option A.
Step-by-step explanation:
-5x-10 <20
Group like terms
-5x < 20 + 10
-5x < 30
Divide both sides by -5
x > - 6
Hope this helps
Hope this helps
y=k/x, when y=2, x=5 a) Calculate the value of k b) Calculate the value of x when y=0.5.
Answer:
a.) k = 10
b.) x = 20
Step-by-step explanation:
Step 1: Plug in variables and calculate for k
2 = k/5
10 = k
Step 2: Plug in variables and calculate for x
0.5 = 10/x
0.5x = 10
x = 20
Mr. Harrison grades his test on a scale of 1 to 10. The dot plots below show the grades for his first test and the last test of the year. Pic below What is the difference between the means of the scores for the two tests?
Answer:
a
Step-by-step explanation:
====================================================
Work Shown:
F = first test data set
F = {1,3,5,5,7,7,7,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10}
m = mean of set F
m = (sum of values in set F)/(number of values in set F)
m = (1+3+5+5+7+7+7+8+8+8+8+9+9+9+9+9+9+9+9+10+10+10+10+10+10)/25
m = 199/25
m = 7.96
----------
L = last test data set
L = {3,4,4,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10}
n = mean of set L
n = (sum of values in set L)/(number of values in set L)
n = (3+4+4+5+5+6+6+6+7+7+7+7+7+7+8+8+8+8+8+9+9+9+9+10+10)/25
n = 177/25
n = 7.08
----------
d = difference in means
d = m - n
d = 7.96 - 7.08
d = 0.88
What are the differences and definitions of incenter, orthocenter, centroid, and circumcenter when dealing with triangles?
Answer:
The orthocenter is the point of intersection of the three heights of a triangle.
The centroid is the point of intersection of the three medians.
The circumcenter is the point of intersection of the three perpendicular bisectors.
The incenter is the point of intersection of the three angle bisectors.
Step-by-step explanation:
4. If person's temperature is 38.5 Celsius, what is their temperature in Fahrenheit? The formula C = 5 (F - 32) can be used to
convert Fahrenheit to Celsius.
Answer:
101.3 °
Step-by-step explanation:
(C x 9/5) + 32 = F
(38.5°C × 9/5) + 32 = F
101.3° = F
Suppose 40 bikes stand near a playground. Some of them are bicycles, some of them are tricycles, and two of them have four wheels. John counts all the wheels and gets 100, in total. How many tricycles are there?
Answer:
16 tricycles
Step-by-step explanation:
First, let's make a chart:
Bicycles- x bicycles and 2x wheels
tricycles- y tricycles and 3x wheels
Four wheeled vehicles- 2 bikes (given), 8 wheels
Since the total amout of bikes is 40, that means that x+y+8=40
You can simplify that to x+y=38.
now, we're going to form another equations dealing with the number of wheels.
Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92
Solve the system of equations:
2x+3y=92
x+y=38
y will be 16
Step-by-step explanation:
Solve the equation 12x + 6y = 24 for x
Answers above
Answer:
D
Step-by-step explanation:
12x + 6y = 24
Subtract 6y on both sides.
12x = 24 - 6y
Divide 12 into both sides.
x = 24/12 - 6/12y
x = 2 - 1/2y
The solution for x in terms of y is x = 2 - (1/2)y
We have,
To solve the equation 12x + 6y = 24 for x, we can isolate x on one side of the equation.
Starting with 12x + 6y = 24, we can subtract 6y from both sides:
12x + 6y - 6y = 24 - 6y
This simplifies to:
12x = 24 - 6y
Next, we divide both sides of the equation by 12 to solve for x:
(12x)/12 = (24 - 6y)/12
This gives us:
x = (24 - 6y)/12
x = 24/12 - 6y/12
x = 2 - (1/2)y
Therefore,
The solution for x in terms of y is x = 2 - (1/2)y
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
plz help me calculate this
Answer:
17
Step-by-step explanation:
the rise is the new minus the old.
9 - -8 = 9+8 = 17
Answer:
rise in temp= 17℃
Step-by-step explanation:
midnight= -8℃
noon= 9℃
9- (-8)= 17
rise in temp= 17℃
or you could just count the difference on your fingers.
-8, -7 ,-6........ 6, 7,8,9
There are crows and groundhogs in a field. All of them together have 15 heads and 40 legs. How many of each animal are in the field?
Answer:
idk
Step-by-step explanation:
I'm going to do some deep research to find the answer. One sec
Answer:
There are 5 groundhogs and 10 crows.
Step-by-step explanation:
Ok, so there are 15 animals and 40 legs. So, groundhogs have 4 legs while crows have 2. Lets say x= our groundhog legs, and y= our crow legs. Our equations are 4x+2y=40 and x+y=15. Now that we have the equations needed we just have to solve them. Now we subtract the two equations from each other. So, this would get,
4x+2y=40
- x+ y=15
--------------------
3x+y=25.
Now we need to subtract x to the other side. So, now we have y=25-3x. The only solution to this problem is (5,10). 25-3(5)=25-15=10. To check this lets put them into our original equations, 4x+2y=40 and x+y=15. So, 4(5) + 2(10)=20+20=40, and 5+10=15! So there's your answer.
What is the slope of the line shown below?
Answer:
m = 5/8
Step-by-step explanation:
2 - (-3)
The slope is m = rise / run = ------------- = 5/8
6 - (-2)
Answer:
The answer is 5/8
Step-by-step explanation.
The equation for slope is y2-y1/x2-x1. In this case, it would equal 2-(-3)/6-(-2). When you simplify this you get 5/8.
Let f be defined as shown.
What is f^-1(-2)?
Answer:
[tex]\boxed{\sf \ \ \ f^{-1}(-2)=-2\ \ \ }[/tex]
Step-by-step explanation:
hello
in the output check where you can see -2
and then follow the arrow to find the corresponding item in input which is -2
hope this helps
Find an expression for the height of a parallelogram whose area is represented by 2x^3 − x^2 − 20x + 3 and whose base is represented by (x + 3).
Answer:
The height of parallelogram is [tex]2x^2-7x+1[/tex]
Step-by-step explanation:
Area of parallelogram =[tex]Base \times Height[/tex]
Area of parallelogram = [tex]2x^3 -x^2 -20x + 3[/tex]
Base of parallelogram = x+3
So, [tex]2x^3-x^2-20x + 3 = height \times (x+3)[/tex]
[tex]\frac{2x^3- x^2 -20x + 3}{x+3}= height\\2x^2-7x+1=Height[/tex]
Hence The height of parallelogram is [tex]2x^2-7x+1[/tex]
Answer:
^^^^^^^
correct
Step-by-step explanation:
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answer:
80%
Step-by-step explanation:
100/15=6 2/3
12*6 2/3 = 80
80 percent increase
Answer:
80%solution,
Old price (P1)=$15
New price(P2)=$27
percent increase:
[tex]( \frac{p2 - p1}{p1} ) \times 100 \: percent \\ = ( \frac{27 - 15}{15} ) \times 100 \: percent \\ = ( \frac{12}{15} ) \times 100 \: percent \\ = 80 \: percent[/tex]
Hope this helps...
Good luck on your assignment...
Simplify (3x^2)^3
Please help
Answer:
27x^6
Step-by-step explanation:
Which equation has only one solution?
|x - 5= -1
|-6 - 2x1 = 8
5x+ 10 = 10
|-6x + 31 = 0
Answer:
5x + 10 = 10
Step-by-step explanation:
5x + 10 = 10
5x = 10 - 10
5x = 0
x = 0/5
x = 0
Only one solution.
Which function is equivalent to Y=-cot(x)?
Answer:
d) y=(x+pi/2)
Step-by-step explanation:
edge 2020 correct & 100%