Answer:
Question a:
[tex]{ \rm{kinetic \: energy = \frac{1}{2} m {v}^{2} }} \\ [/tex]
• then let's make m the subject:
[tex]{ \rm{E = \frac{1}{2}m {v}^{2} }} \\ \\ { \rm{m {v}^{2} = 2E }} \\ \\ { { \green{ \boxed{ \boxed{ \bf{m = \frac{2E}{ {v}^{2} } }}}}}} \\ [/tex]
Answer: m = 2E/v²
Question b:
[tex]{ \rm{m = \frac{2E}{ {v}^{2} } }} \\ \\ { \rm{m = \frac{(2 \times 2500)}{ {10}^{2} } }} \\ \\ { \rm{m = \frac{5000}{100} }} \\ \\ { \boxed{ \boxed{ \rm{ \: m = 50 \: kg \: }}}}[/tex]
Answer: mass is 50 kg
Simplify: 14 - ³√216
Answer:
8
Step-by-step explanation:
Simplify the expression.
Find the product of 7 7/10 and 10/11 ?
Answer:
The answer I think would be 7. Hope this helped!!
(Photo attached) Is Tamara's work correct? If not, what is the first step where Tamara made a mistake?
Kelvin ordered four pizzas for a birthday party. The pizzas were cut in eights. How many slices were there?
Answer: 32
Step-by-step explanation:
4(8)=32
PLS HELPPPP!! ITS DUE TODAY!!!! ASAP!!! AHHH. No links
Answer:
x=18, 96-24=72, x+3x=72, 4x=72, x=18
Step-by-step explanation:
Oliver found a list of the number of roller coasters at each amusement park in the state. 11, 17, 28, 17, 40, 44, 19, 45, 49, 31 What is the median?
Answer:
29.5
Step-by-step explanation:
Order from least to greatest
11, 17, 17, 19, 28, 31, 40, 44, 45, 49
Then find the middle number which is 28 and 31 so add the two numbers
28 + 31 = 59
then
59 divided by 2 = 29.5
At a school, 133 students play at least one sport. This is 35 % of the students at the school. How many students are at the school?
Answer:
380 students
Step-by-step explanation:
133 = 35%
[tex]\frac{133}{35}[/tex] = 1%
3.8 = 1%
3.8 * 100
= 380
Helppppppppppp
31. The students are selling wrapping paper to raise money. Each roll of paper rolle for 5%,
Part A
Write m expression that represents the total amount of money, in dollars, the students raise
from selling x rolls of wrapping paper
Part B.
The goal of the students was to raise $600. They sold 6% rolls of paper. By what amount did
the students miss their goal of raising 5600? Show or explain all of your work
Answer:
So The Answer would be 600=1.05x and 600=1.06x for part A and B
Step-by-step explanation:
For Part B If there goal is to raise 600$ then 5% of 600$ = 30$ per roll of wrapping paper;
Part A: 600= 1.05x
The expression 1.05 represents the 5% increase for X wrapping paper sold to the equivalent of 600$
For end of the Question Im unsure what they mean they "missed there goal of raising 5600?.. 5600$ or 560.0$?"
The sum of two numbers is 57 and the difference is 7. What are the numbers?
Answer:
32 and 25
Step-by-step explanation:
I don't understand this my teacher is not texting me back
Answer:
Please find below. Fill in the table with the values of y given below.
Step-by-step explanation:
For question 5, you should substitute the different values of x into the equation y =x^2 +4
So, when
x = -3, y = (-3)^2 +4 = 9+4 = 13
x = -2, y = (-2)^2 +4 = 4+4 = 8
x = -1, y = (-1)^2 + 4 = 1+4 = 5
x = 0, y = 0^2 + 4 = 4
x = 1, y = 1^2 +4 = 1+4 = 5
x = 2, y = 2^2 +4 = 8
x = 3, y = 3^2 + 4 = 13
x = 4, y = 4^2 + 4 = 20
For question 6, you need to find the nth term or a formula of y in terms of x.
For this, find the common difference between each of the consecutive values of y.
This is 5
So, the start if our equation is going to be ‘y = 5x’
Now, to find the ‘+c’ part, can be calculated by substituting the value of y when x = 1 into the y = 5x
So,
y = 5x + c
13 = 5 + c
Rearrange the find that c = 8
Therefore, the nth term formula = 5x + 8
Hope this helps
i really need help please
4x+6y = 36 in slope intercept form ?
Answer:
y = -2/3x + 6
Step-by-step explanation:
Answer: [tex]y = - \frac{2}{3} x + 6[/tex]
Can you solve the equation “15b=60”
Answer:
Step-by-step explanation:
yes, you can it is b=4
Mrs. Ortiz measured the outside temperature at noon as -2°F. Later that
day, she measured the temperature as -5°F. Write an inequality that
correctly compares -2 and -5. Then explain the meaning of the inequality
for the situation. 6.NS.7, 6.NS.7b
Answer:
-2°F>-5°F
Step-by-step explanation:
-2°F is greater than -5°F
This also means the first time Mrs. Ortiz measured the outside tempurature it was hotter than the second time she measured it.
Please help I'll mark brainliest
Which of the following correctly isolates the constant for the polynomial: x2 – 12x + 27
A. x^2 – 12x = 27
B. x^2 - 12x = 36
C. x^2 - 12x = -27
D. x^2 + 27 = 12x
Answer:
x^2 - 12x = -27
Step-by-step explanation:
Here, we want to isolate the constant for the polynomial
To do this, we start by setting the expression to zero
Afterwards, we can bring the constant term over the equal to sign, giving a change in sign value
Mathematically, we have this as;
x^2 - 12x + 27 = 0
x^2 - 12x = -27
What is the slope of the line?
hurryyyy
Answer:
slope = 3
Step-by-step explanation:
if each square is equal to 1
The slope has to be 3.
you can see it, because between those 2 point you can count 3 spaces in y-vertex, and 1 space in x-vertex
what that means is that we will move 3 steps up (or down) for each 1 space in x-vertex.
you can see it just right there on the graph
Find x in the following ,giving reasons
Answer:
x = 22.5
Step-by-step explanation:
→ Remember how many degrees the point to a radius is
90°
→ Set up an equation
x + 3x = 90
→ Simplify
4x = 90
→ Divide both sides by 4
x = 22.5
if a hockey ticket regular cost $25 and the sale price cost $20
Answer:
The sale price would be 20% off.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
a 3 inch radius circle is drawn inside a 7 in radius Circle if you throw a dart at the circles what is the probability you land inside the smaller circles
Answer:0.82
Step-by-step explanation:
The first step is to determine the areas of the inner and the bigger circles.
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the inner circle,
diameter = 148.4 cm
Radius = 3 inches
Area = 3.14 × 3² = 28.26 inches²
Considering the bigger circle,
Radius = 7 inches
Area = 3.14 × 7² = 153.86 inches²
The area between the bigger and inner circles is
153.86 - 28.26 = 125.6 inches²
Probability = number of favourable outcome/number of total outcome.
the probability you land inside the bigger circle but outside smaller circle is
125.6/153.86 = 0.82
In OPQ, O = 10 cm, p=67 cm and angle Q=24^ . Find angle P , to the nearest degree.
152Answer:
Step-by-step explanation:
A store sells watches for $69.99 each and watch batteries for $9.50 each. Justin is buying 2 watches and x number of watch batteries. Which equation can be used to find y, the total price Justin must pay in dollars?
A y = 139.98x + 9.50x
B y = 69.99x + 9.50
C y = 9.50x + 69.99
D y = 9.50x + 139.98
Answer:
D. y= 9.50x + 139.98
Step-by-step explanation:
69.99 x 2 = 139,98
Can someone help me plsssss
A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 425°F in a room that is constant 74°F. After 5 minutes, the pizza pan is at 300 °F
A) at what time is the temperature of the pan 130°F ?
B) determine the time that needs to elapse before the pan is 180°
Answer:
9:11:48 p.m
9.8 minutes
Step-by-step explanation:
We Obtian the slope of the relation :
Slope = Rise / Run
(0, 425) ; (5, 300)
x2 = 0 ; y2 = 425 ; x1 = 5 ; y1 = 300
(425 - 300) / (0 - 5)
125 / - 5
= - 25
The intercept :
y = mx + c
425 = - 25(0) + c
425 = 0 + c
c = 425
The equation becomes :
y = - 25x + 425
Temperature at 130
130 = - 25x + 425
130 - 425 = - 25x
-295 = - 25x
x = 11.8
9:00 + 11.8 = 9:11:48 p.m
B.)
180 = - 25x + 425
180 - 425 = - 25x
-245 = - 25x
x = 9.8 minutes
A population of 6000 bacteria is growing at a rate of 6% each day. Write 2 an equation that expresses the number of bacteria at time x.
A. y = 6000(.06)×
B. y = 6000(1.06)×
C. y = 6000(.94)×
Answer: B. y = 6000(1.06)×
Step-by-step explanation: If it is growing at six percent (0.06) each day then you must also account for the amount that is already there (1).
Help asap plsss.......
Answer:
negative 5 degrees Celsius
In ΔIJK, the measure of ∠K=90°, the measure of ∠I=41°, and IJ = 2 feet. Find the length of KI to the nearest tenth of a foot.
Answer:
7.5 feet
Step-by-step explanation:
Hope it helps(:
Pls help me ._. I’m failing:)
Answer:
Step-by-step explanation:
1. add the exponents
Ex: [tex]2^{2}*2^{3} = 2^{5}[/tex]
2. subtract the exponents
Ex: [tex]2^5-2^3 = 2^2[/tex]
 please help me ahhh im doing 8th grade math with pythagorean theorem
Step-by-step explanation:
The pythagorean theorem is the sum of the two legs squares equal the hypotenuse squared.
The hypotenuse is the longest side so 3.5 is our hypotenuse.
Apply formula to see of true.
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {2.5}^{2} + {3}^{2} = {3.5}^{2} [/tex]
[tex]6.25 + 9 = (3.5 {}^{2}) {?} [/tex]
[tex]15.25 = 12.25 {?}[/tex]
So it isn't a triangle since they aren't equal
What is the length of RS?