The time of motion of the frog after it jumped into air is determined as 0.8 second.
Time of motion of the frog
The time of motion of the frog is determined by solving the quadratic equation as follows;
60t - 75t² = 0
60t = 75t²
divide both sides by t
60 = 75t
divide both sides by 75
60/75 = t
0.8 s = t
Thus, the time of motion of the frog after it jumped into air is determined as 0.8 second.
Learn more about time of motion here: https://brainly.com/question/2364404
3w + 4x – 15y + 6w + 7x + 7y
5w + 3y + 9x + 2x - 11y + 4w
7x - 3y + 12w + 5y - 3w + 4x
4w + 3x – y + 5w - 14x - 7y
how many of these are equal?
Answer:
3w, 4x, 4w, 7y, 7x, 3y, 5w,
Step-by-step explanation:
A 2.25 units
C 5 units
B 4 units
0 16 units
Answer:
B
Step-by-step explanation:
If 2 chords of a circle intersect, then the product of the parts of one chord is equal to the product of the parts of the other chord , that is
BW × WD = AW × WC ( substitute values )
6 BW = 3 × 8 = 24 ( divide both sides by 6 )
BW = 4 units
Answer:
Option B
Step-by-step explanation:
Intersecting Chords theorem: When two chords intersect inside a circle, the product of their segments are equal.
AW * WC = WD * BW
3 * 8 = 6 * BW
[tex]\sf \dfrac{3*8}{6} = BW[/tex]
BW = 4 units
HELP ASAP * 70 POINTS*
area of triangular prism:
( perimeter x length ) + base x height[tex]\dashrightarrow \sf (4+3+5) \ x \ 7 \ + 3 \ x \ 4[/tex]
[tex]\dashrightarrow \sf 96 \ ft^2[/tex]
Answer:
Step-by-step explanation:
A = 7 ft
B = 5 ft
C = 3 ft (base of the triangle)
D = 4 ft (height of the triangle)
Surface area of prism = base *height + ( B + C + D)*A
= 4*3 + (5 + 3 + 4) * 7
= 12 + 12 *7
= 12 + 84
= 96 square ft.
Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the
explicit rule for this sequence in simplified form?
Answer:
[tex]a_{n} =500(n) + 30,000[/tex]
Step-by-step explanation:
Hey there!
This equasion is correct because [tex]500[/tex] is being multiplied by the multiplyer which is [tex]n[/tex], how many years have gone by
After that The equasion adds [tex]30,000[/tex] because he started with [tex]30,000[/tex].
Answer:
The answer is [tex]a_{n} =500n+29,500.[/tex]
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is a1 = 30,000.
Step-by-step explanation:
The answer is [tex]a_{n} =500n+29,500.[/tex]a_n = 500n + 29,500. It is easy to check: just plug in n = 1, and you'll get the first year's salary = 500•1 + 29,500 = 30,000.
Another way to find it is [tex]a_{n} =30,000+500(n-1)=30,000+500n-500=29,500+500n[/tex].
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is [tex]a_{1}=30,000[/tex].
Find five pairs of integers with a sum of -6
Answer:
-5, -1
-9, 3
5, -11
-8, 2
-18, 12
Step-by-step explanation:
Answer:
_8 2. c. bbx. hx xhdj audiovisual audible Suffolk erudition Ayrshire Ysidro rump sidi ecru his
Use the equation A = bh to calculate the height of a parallelogram with an area of 36 square inches and a base of 9 inches
Answer:
4 inches
Step-by-step explanation:
A = b x h
A = 36
b = 9
36 = 9 x h
4 = h
height = 4 inches
What is the equation of the line of the graph?
Question 12 options:
y= 2x + 1
y= -x -2
y= x + 2
y= -2x + 1
Answer:
y = x+2
Step-by-step explanation:
y = mx +c
y-intercept is +2
so y = mx + 2
the slope of the line is one across one up so
y = x+2
Answer:
Step-by-step explanation:
At y-intercept, x =0
So, from the graph, y-intecept = b = 2
Equation of the line: y =mx +b
y = mx + 2
Choose any point on the line and substitue in the above equation and we get the slope(m)
(-2 ,0)
0 = m*(-2) + 2
0 = -2m + 2
-2 = -2m
-2/-2 = m
m= 1
Equation of the line: y = x + 2
please help me with this question
Answer:
19
Step-by-step explanation:
you get the answers by counting all the x. every sttudent markes 1 x so the answer is 19
What is the last step in constructing an angle?
Connect the endpoint and the mark at the angle measure.
Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor
Draw a horizontal ray
Make a mark at the number of degrees you want the angle to be.
The last step to be carried out in a bid to construct an angle using a protractor is; Connect the endpoint and the mark at the angle measure.
How to construct an angleIn a bid to construct an angle by means of a protractor, it follows that a sequence of steps must be carried out. These steps are as ordered below;
Draw a horizontal rayPlace the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractorMake a mark at the number of degrees you want the angle to be.Connect the endpoint and the mark at the angle measure.Read more on angle construction;
https://brainly.com/question/8607612
Answer: For the last step you have to connect the endpoint and the mark
Step-by-step explanation:
if a1 = 4 and an = -4a n-1 +5 then find value of a5
please help
Answer:
Step-by-step explanation:
a1 = 4
a2 = -5(4)-1 = -21
a3 =-5(-21)-1 = 104
a4 = -5(104)-1 =-521
a5 =-5(-521)-1 = 2604
The sum of 2 numbers is 55 the greater number is 17 times the smaller number plus 1 find the number
Answer:
3, 52
Step-by-step explanation:
The given relation can be expressed by the equation ...
x +(17x +1) = 55 . . . . . . where x represents the smaller number
__
Solution
18x = 54 . . . . . . . . . collect terms, subtract 1
x = 3 . . . . . . . . . divide by 18
The smaller number is 3. The larger number is 55-3 = 52.
“Use distributive property to rewrite each expression.”
3(a + 10)
Answer:
The answer is
3a+30
Step-by-step explanation:
I hope this helped
Which of the following is the equation of the circle shown below?
Answer: A
Step-by-step explanation:
The radius of the circle is 7, and the center is at (6,-2), so if we substitute into the formula for the general equation of a circle, we get answer choice A.
what is an equation of the line that passes through the points (6,3) and (-6,1)
Answer: y = [tex]\frac{1}{6}[/tex]x + 2
Step-by-step explanation:
[1] First, we will graph the points given. See the attachment with [1] in the corner.
[2] Next, we will find the slope.
(2a) Using rise over run. See the attachment with [2] in the corner.
(2b) Use the slope equation:
[tex]\displaystyle \frac{1-3}{-6-6}= \frac{-2}{-12} =\frac{1}{6}[/tex]
[3] Find the y-intercept. Look to the graph. See the attachment with [3] in the corner.
This gives us a final answer of y = [tex]\frac{1}{6}[/tex]x + 2
Dr. Smith, a biology professor at Bradford University, has decided to give his classes a standardized biology exam that is nationally normed. This indicates that the normal distribution is an appropriate approximation for the probability distribution of students’ scores on this exam. The probability distribution of students’ scores on this standardized exam can be estimated using the normal distribution shown below.
X
X
Inflection Point
Inflection Point
70
78
86
State the mean of the distribution of the biology exam scores.
State the standard deviation of the distribution of the biology exam scores.
Grading Curve Option I
Originally, Dr. Smith decides to curve his students’ exam grades as follows.
Students whose scores are at or above the percentile will receive an A.
Students whose scores are in the – percentiles will receive a B.
Students whose scores are in the – percentiles will receive a C.
Students whose scores are in the – percentiles will receive a D.
Students whose scores are below the percentile will receive an F.
Find the z-scores that correspond to the following percentiles.
percentile
percentile
percentile
percentile
Using that information, find the exam scores that correspond to the curved grading scale. Assume that the exam scores range from 0 to 100. (Round to the nearest whole number.)
A: –
B: –
C: –
D: –
F:
For inflection Points of
707886The mean and standard deviation are is mathematically given as
x=78
sigma=8
What is Normal distribution?Normal distribution is simply a symmetrical bell-shaped graph that displays the distribution of numerous random variables.
Generally, the equation for the mean is mathematically given as
x=total sum /amount
Therefore
x=70+78+80/3
x=78
In conclusion, Inflexion point for normal distribution is given as
[tex]I=\mu+\sigma\\\\\mu+\sigma=86[/tex]
Also
[tex]\mu-\sigma=70[/tex]
Therefore
[tex]78+\d\sigma=86[/tex]
sigma=8
Read more about mean
https://brainly.com/question/20118982
You roll a number cube ten times and it lands on a 5 two times. What is the theoretical probability that it lands on a 5 on your next roll?
Answer:
2/10 = 1/5
Step-by-step explanation:
It landed five 2 times and you rolled it 10 times
. PLEASE THIS IS A BIG TEST HELP FAST
Identify the correct measure of the pen, to the nearest 1/8 inch.
please do number 7. Thank you
Answer:
search mo po sa goggleStep-by-step explanation:
I hope it's helplook at point C and D on the graph..
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
2.24 units
3.16 units
6.40 units
7.07 units
Answer: 7.07
Step-by-step explanation:
help me please!
I'm a little confused
Answer:
Is A
Step-b-step explanation:
40.5
Please help me out! I would also love an explanation on how to find the ratio and the answer
Answer:
A
Step-by-step explanation:
This will have slope in it, so bear with me.
We will use the equation [tex]\frac{y(2) - y(1)}{x(2) - x(1)}[/tex] (keep in mind (2) means second and (1) means first)
Lets fill it out.
[tex]\frac{-4-(-1)}{-4-3}[/tex]
It should be [tex]\frac{-3}{-7} or \frac{3}{7}[/tex]
So it is A
A sphere has a volume of 33.5 cubic inches. Which value is closest to the radius of this sphere in inches?
Answer:
1.9998 inches = radius
Step-by-step explanation:
V=(4/3)πr³
33.5 = (4/3)πx³
33.5 * 3/4 = (4/3)πx³(3/4)
25.125 / π = (πx³) / π
[tex]\sqrt[3]{7.998}[/tex] = [tex]\sqrt[3]{x^3}[/tex]
1.9998 = x
A rectangle has a perimeter of 42 m and a width of 9 m. What is the length in meters.
Answer:
12 meters
Step-by-step explanation:
2x9=18 (get both widths)
42-18=24 (take away widths of 9m)
24/2=12 (divide by 2 to get one length)
what is the answer 58×100 =
a. 1220
b.1555
c5678
d5800
Answer:
Answer D is correct
Step-by-step explanation:
Let us solve this now.
58
× 100
000
00
+ 58
= 5800
------------------------------------------------------------------------------------------
Let us solve this sum in a different way.
If there's a number to multiply by 100 you can simply put 2 zeros to the other number like this.
58 × 100 = 5800
Please help; struggling in Algebra
Answer:
50
Step-by-step explanation:
The mean splits a data set into 50-50
So the answer is 50
Jacob had x apple pies. For each lemon pie sold, 10 more than twice the number of apple pies are sold. If jacob has sold 80 lemon pies, how many apple pies were sold.
A) 70
B) 25
C) 35
D) Not Here
Answer:
C) 35
Step-by-step explanation:
The answer is C because he sold 80 lemon pies and as the question states ten more than twice the number of apple pies were sold .
Subtract 80 by 10 and divide it by 2
80-10=70÷2 = 35
What is the solution of the inequality shown
below?
x-1 < -10
Answer:
x<-9
Step-by-step explanation:
x−1<−10
Add 1 to both sides.
x<−10+1
Add −10 and 1 to get −9.
x<−9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hoped this helped :)
Answer:
x < -9
Step-by-step explanation:
Bring like terms to one side⇒ x - 1 < -10
⇒ x < -10 + 1
⇒ x < -9
The solution is x < -9 or x is less than negative 9What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? (1 point) a 3 b 2 c −2 d −3
Answer: C= -2
Step-by-step explanation:
Answer:
C. -2
Step-by-step explanation:
5x + 2(x − 4) = 5x + x − 10
Subtract 5 from both sides,
5x + 2(x - 4) - 5x = 5x + x - 10 - 5x
Simplify,
2(x - 4) = x - 10
Distribute,
2x - 8 = x - 10
Add 8 to both sides,
2x - 8 + 8 = x - 10 + 8
Simplify,
2x = x - 2
Subtract x from both sides,
2x - x = x - 2 - x
Simplify,
x = -2
Pls help pls help !!!!!!!
600 people visited the mall today and 8% of these people made a purchase. How many people made a purchase?
Answer:
48 made a purchase
Step-by-step explanation:
8% of 600
= [tex]\frac{8}{100}[/tex] × 600 ( cancel 100 and 600 by 100 )
= 8 × 6
= 48