Answer:
Step-by-step explanation:
Given p = x²+6
We are to express (x²+6)-21 = 4x²+24 in terms of p
We need to rewrite the expression first
(x²+6)²-21 = 4x²+24
Factor out 4 from the right hand side;
(x²+6)²-21 = 4(x²+6)
Replace x²+6 with p
p²+21 = 4p
Collect like terms
p²-4p = -21
p²-4p+21= 0
Hence the required equation is p²-4p+21= 0
Answer: p^2-4p-21=0
Step-by-step explanation:
Did it on Khan :D
your father pushed a 2-kg box across the floor with a net horizontal force of 10 n. what is the acceleration of the box
Answer:
5 m/s^2
Step-by-step explanation:
Force = mass x acceleration
f = ma
We have the force of 10 N and the mass of 2 kg.
10 N = 2 kg a
divide by 2 on both sides to isolate the a
a = 5 m/s^2
Answer:
[tex]\boxed {\boxed {\sf a= 5 \ m/s^2}}[/tex]
Step-by-step explanation:
The formula for force is:
[tex]F=m*a[/tex]
If we rearrange the formula for acceleration (a) and divide both sides by m we get:
[tex]\frac{F}{m}=a[/tex]
The net force is 10 Newtons. Let's convert the units to make the problem easier later on.
1 Newton=1 kg*m/s²The net force of 10 Newtons is equal to 10 kg*m/s²The mass is 2 kilograms.
[tex]F=10 \ kg*m/s^2\\m= 2 \ kg[/tex]
Substitute the values into the formula.
[tex]\frac{10 \ kg*m/s^2}{2 \ kg} =a[/tex]
Divide. Note the kilograms (kg) will cancel each other out (this is why we converted the units)
[tex]\frac{10 \ m/s^2}{2}=a[/tex]
[tex]5 \ m/s^2=a[/tex]
The acceleration of the box is 5 meters per second squared.
(32x^5)/(48x^7) Could someone solve and explain this maybe?
A foreign country uses the stellar as its currency. Before a trip to that country, Jon wants to exchange $1,200 to stellars. Which of Bank A and Bank B has the better exchange rate? How many more stellars would he get if he exchanged his $1,200 at the better exchange rate instead of at the other rate?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the conversion rate for both banks is not given.
However, I'll make the following assumptions.
Bank A: $80 for 392 stellars
Bank B: $50 for 240 stellars
Solving (a) Bank with better conversion rate.
First, we need to calculate the unit rate.
Unit Rate = Dollar/Stellar
For Bank A:
Unit Rate = 392/80
Unit Rate = 4.9 Stellars to $1
For Bank B:
Unit Rate = 240/50
Unit Rate = 4.8 Stellars to $1
The bank with higher unit rate has a better exchange rate.
Hence, bank A has a better exchange rate.
Solving (b): How much more will he get if $1200 is exchanged
For Bank A:
$1 = 4.9 Stellars
Multiply both sides by 1200
$1 * 1200 = 4.9 * 1200 Stellars
$1200 = 5880 Stellars
For Bank B:
$1 = 4.8 Stellars
Multiply both sides by 1200
1200 * $1 = 4.8 * 1200 Stellars
$1200 = 5760 Stellars
Calculate their difference
Difference = 5880 - 5760
Difference = 120 Stellars
Hence, he'll get 120 more Stellars if he exchanged with bank A.
Please help 60 points
Malcolm and Nick opened savings accounts with different beginning deposits. Each week, they both deposit the same amount into their accounts. This graph shows the amount of money in Malcolm’s account.
If, on the fifth week, Nick has $120 in his savings account, which equation shows the amount of money in Nick’s account?
A. y = 10x + 40
B. y = 10x +70
C. y = 20x + 40
D. y = 20x + 70
Answer:
B
Step-by-step explanation:
To solve this equation you use the y=mx+b format
Considering that the graph starts at 40 (b) and increase 10 every time that means that the m is 10
Sorry that probably made no sense
what is the inverse of 20
Answer:
-20
Step-by-step explanation:
It is like the opposite number. Because 20 is positive its inverse is negative 20.
HOPE THIS HELPED
If a plane can travel 500 miles per hour with the wind and 400 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air . what is the speed of the wind?
pleaseeee helpp asap
Please help if you can!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
4/3 is that correct if not msg me and I’ll help you with the next problem
Step-by-step explanation:
Answer:
slope is 3/4
Step-by-step explanation:
rise over run
The five number summary for your class GPA is shown. Which box plot shows the class data?
Answer:
The 2nd box lot shows the class data. Also, the illustrated box plot with these marks is also shown in the attached figure.
Step-by-step explanation:
Given the box plot which shows the class data, we can indicate that,
the minimum is 1.8, Q1 is 2.6, the median is 2.9, Q3 is 3.6, and the maximum is 4.0.So, the 2nd box lot shows the class data.
Because,
it indicates a minimum at 1.8Q1 (the first quartile, or the 25% mark) which is 2.6the median is 2.9Q3 (the third quartile, or the 75% mark) which is 3.6and the maximum is 4.0.So, the illustrated box plot with these marks is also shown in the attached figure.
Answer:
The 2nd box plot is correct
Step-by-step explanation:
Got it right on IM
Can someone help me with this? (asap)
Answer:
so cant help
Step-by-step explanation:
Answer:
43˚
Step-by-step explanation:
As you may know, a triangle angle should always add up to 180˚ so 68˚ and 69˚ added together is 137˚ subtract that by 180 and you will get 43 which is the answer
Hope this helps!
Help please need answer soon
Answer:
c
Step-by-step explanation:
(x+25)(3+2x)-(x+4)(x+1)
=(3x+2x²+75+50x)-(x²+4x+x+4)
=(2x²+53x+75)-(x²+5x+4)
=2x²+53x+75-x²-5x-4
=x²+48x+71
How can you tell when your graph has a constant rate relationship?
Would the slope be the same or different?
find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E
Answer:
The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Step-by-step explanation:
We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E.
There are 9 letters in the word WONDERFUL
There is a condition that letter R is always next to E.
So, We have two letters fixed WONDFUL (ER)
We will apply Permutations to find ways of arrangements.
The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways
The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways
The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways
So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
{(3, 2.1),(4,3.1), 5, 2.7), (5,4.1),(6, 5.1)} domain and range of this numbers
Answer:
domain: (3, 4, 5, 6)
range: (2.1, 2.7, 3.1, 4.1, 5.1)
Step-by-step explanation:
domain is the x value
range is the y value
you do not write the same number twice
write the domain and range in alphabetical order
What is the equation of the line
The quality control manager at a factory records the number of equipment breakdown each day . Let the random variable Y represent the number of breakdowns in one day. Does standard deviation of why is 0.28. Which of the following is the best interpretation of the standard variable
Answer:
On average, the number of breakdowns per day varies from the mean by about 0.28.
Step-by-step explanation:
X + 1 > 8
whats the answer
Answer:
x can = anywhere from 8 to infinite because x has to be greater than 8 at least
Step-by-step explanation:
ASAP NEED HELP!!!!
The company makes a single serving cereal box that contains 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 4. How many ounces of cereal will the extra large box contain? Explain or show your reasoning.
Answer:
the answer should be 76.8 ounces
Step-by-step explanation:
The number of ounces of cereal will the extra-large box contains should be 76.8 ounces.
Calculation of the number of ounces:Since
The company makes a single serving cereal box that contains 1.2 ounces of cereal.
The extra-large box will be a dilation of the single-serving box using a scale factor of 4.
So, here the no of ounces should be
[tex]= 4\times 4\times \times 4 \times 1.2[/tex]
= 76.8 ounces
Learn more about ounces here: https://brainly.com/question/2656723
HELPPP PLEASE WITH BOTH THANK U
Problem 1
Answer: B) -15
---------------------------
Explanation:
Draw out a number line with -7 on it. Stuff to the left of this value are smaller than -7. Stuff to the left would be -8, -9, ... and -15 is part of that list.
So -15 is smaller than -7.
================================================
Problem 2
Answer: Choice A) closed circle at 2 and shading to the right
--------------------------
Explanation:
Let's solve for h
[tex]-5h+3 \le -7\\\\-5h \le -7-3\\\\-5h \le -10\\\\h \ge \frac{-10}{-5}\\\\h \ge 2\\\\[/tex]
The inequality sign flips because we divided both sides by a negative value.
The solution set is the set of h values such that h = 2 or h > 2. In short, h can be 2 or larger.
Visually this will be a graph with a closed circle at 2 and shading to the right. The closed circle tells the reader "include the endpoint". This describes graph A.
I'm having trouble with this...
Solve.
{y=x−63x+2y=8
Use any method.
(14, 8)
(3, -3)
(0, -6)
(4, -2)
Answer:
(4, -2) should be the correct answer.
Earth is approximately 1.5x10^8 km from the sun. how many minutes does it take to travel from the sun to the earth? the speed of light is 3x10^8 m/sec
Tell whether x and y are in a proportional relationship. Explain
your reasoning.
what is 4/3×6/5in fraction in simplest form
Answer:
8/5
Step-by-step explanation:
what's thee error and the solution
Answer:
They subtracted by 4 not divided (And you spelled the wrong) and answer is
x = 5
Step-by-step explanation:
Answer: the error is the 2nd step. the solution is 5
Step-by-step explanation:
4x-3=17
+3 +3
4x/4 = 20/4
x=5
hope that helps!!!:):)
Which of the following proves the triangles are congruent?
A. SSS
B. SAS
A
CASA
D. Not Congruent
Answer:
SSS
Step-by-step explanation:
Because 3 sides are identical, its the side-side-side theorem or SSS
Answer:
.
Step-by-step explanation:
Brianna is crocheting a scarf as a birthday present for her sister. She started the scarf yesterday and needs to finish it today before her sister's birthday party.
This table shows the relationship between the amount of time (in minutes) Brianna spends crocheting today, x, and the total length of the scarf (in inches), y.
x (minutes) y (inches)
10 19
50 23
60 24
80 26
According to the values in the table, do x and y have a proportional relationship?
9514 1404 393
Answer:
no, the relationship is not proportional
Step-by-step explanation:
The table says Brianna crocheted 19 inches in 10 minutes. If the relation were proportional, Brianna would have crocheted 5×19 = 95 inches in 5×10 = 50 minutes. Her actual length is only 23 inches, so length is not proportional to time.
I need help with finding the answers for number 4 and 5
A fish swims 10 yards north and 15 yards east from the boat that just caught it and threw it back. How many yards is the fish from the boat?
Answer:
18.0277563773 yards
Step-by-step explanation:
Pythagorean Theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]10^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]
100 + 225 = [tex]c^{2}[/tex]
325 = [tex]c^{2}[/tex]
[tex]\sqrt{325}[/tex] = [tex]\sqrt{c^{2} }[/tex]
8.0277563773 = c
PLEASE HELP DUE TODAY 20 POINTS!!!
Answer:
13/12
Step-by-step explanation:
PLEASE HELP ME ASAP. If you can help me please help me out.
Answer:
Step-by-step explanation:
to ez its =12
Compare your answer to the model. Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant. The rate of change, or constant of variation, is 0.5. What did your explanation include? a reference to the rate of change a reference to the ratio of y over x the constant of variation as 0.5
Answer: C
Step-by-step explanation:
Just did it