Step-by-step explanation:
2x² + 8x - 1 = 0
2(x + 2)² - 9 = 0
2(x + 2)² = 9
(x + 2)² = 4.5
x = √4.5 - 2 or x = -√4.5 - 2
x = 0.12 or x = -4.12.
Distribute and Simplify: (p + 3)5
Answer:
5p+5
Explanation:
5(p+3)
(5*p)+(5*3)
5p+5
Need help kinda stuck on this one!
A town's population is 43,650. About 125 people move out of the town each month. Each month, 200 people on average move into town. A nearby town has a population of 45,675. It has no one moving in and an average of 150 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question. Which equation mode +
Answer:
After 7 months population will be same.
(43425 + 75x) = (45000 - 150x)
Step-by-step explanation:
Population of a town = 43425.
Number of people moving out of the town = 125 per month
Number of people moving in = 200 per month
On an average number of people increasing every month = 200 - 125
= 75
Population of the nearby town = 45000
Number of people moving in = 0 per month
Number of people moving out = 150 per month
Let after x months number of population will be same.
So the equation will be (43425 + 75x) = (45000 - 150x)
1). By solving this equation we can get the number months when the population of both the towns will be same.
43425 + 75x = 45000 - 150x
43425 + 75x + 150x = 45000
75x + 150x = 45000 - 43425
225x = 1575
x = 1575/225
x = 7 months
A train is travelling with a velocity of 15m/s.
It then accelerates at 0.5 m/s2 for 6 seconds.
Use the formula v=u+ at to calculate the velocity of the train after the 6 seconds.
Given that,
Initial speed, u = 15 m/s
Acceleration, a = 0.5 m/s²
Time, t = 6 s
To find,
Velocity after 6 seconds.
Solution,
Let v is the velocity of the train.
Using equation : v = u +at
Put all the values,
v = 15 +0.5(6)
= 15 + 3
= 18 m/s
So, its final velocity is 18 m/s.
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don't be sad
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I will never be mad
Don't ever say you are ugly
Because you are beautiful
I love it when you're giggly
and when you're joyful
You are perfect in every way
You are cute, funny, and smart
I miss you saying hay
without you I'm falling apart
Don't listen to the judgers
listen to your heart
You are perfect
you are you
and who you are meant to be
if you don't believe me
look into my eyes and you will see
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
I passed it on. now its your turn :)
never going to left you go
never going to left you down
6785∆4 is a 6-digit number with one of its digit represented by ∆. What can be the value of ∆ if 6785∆4 is divisible by 9
Answer:
6
Step-by-step explanation:
If the sum of the digits of a number is divisible by 9, then the number is divisible by 9.
So 6+7+8+5+Δ+4 = Δ + 30 has to be divisable by 9, and of course 0≤Δ≤9
36 is divisable by 9, so Δ has to be 6.
The value of the number which will make it divisible by 9 will be 6.
Based on the information given, we've to find a number that will give a value without a remainder.
Therefore, if we use 6, the number will be 678564. Then, we can divide by 9 and it'll be.
= 678564/9
= 75396
Therefore, the number is 6.
Learn more about division on:
https://brainly.com/question/4320580
answer correctly for brainliest +10 points!
I need help I will give brainiest
If school starts at 8:30 a.m. and ends at 3:20 p.m., how long is the school day?
6 hours and 10 minutes
11 hours and 50 minutes
5 hours and 10 minutes
6 hours and 50 minutes
Answer:
50 min 5 hours
Step-by-step explanation:
Answer: 6 hours and 50mins
Step-by-step explanation:
Question 1 (2 points)
Find the slope and y-intercept for the graph below.
m
b
Answer:
The slope is:
[tex] \frac{5}{2} [/tex]
The y-intercept is:
-3
simplify each algebra expressions by combing like terms 5p + 2p + 6p
Answer:
13 P
Step-by-step explanation:
Answer: 13p
Step-by-step explanation:
All three terms have the same variable. Therefore, you can add all three terms together into a singular term (below).
5p + 2p + 6p = 13p
Triangle A B C is shown with its exterior angles. Line B A extends through point D. Line A B extends through point E. Line A C extends through point F. Which angle's measure is equal to the sum of the measures of ∠BAC and ∠BCA?
Answer:
∠CBE
Step-by-step explanation:
Find the diagram attached
Using the exterior property of a triangle which states that the sum of interior angles of a triangle is equal to the exterior angle.
Given the following from the diagram
Interior angles are ∠BAC and ∠BCA
Exterior angle = <CBE = a+b
Using the law above,
∠BAC + ∠BCA = ∠CBE
Hence the angle's measure that is equal to the sum of the measures of ∠BAC and ∠BCA is ∠CBE
Answer:
angleCBE
Step-by-step explanation:
Please help ASAP I'm willing to give Brainiest
49. You have been asked to place a warehouse so that it is an equal distance from the three roads indicated on the following map. Find this location and show your work.
a. What constructions would you need to perform to accomplish the task?
b. What is the point called where you will place the warehouse?
Not sure about part a, but the answer to b is the central configuration
Step-by-step explanation:
Help pls and thank you :)
A man walks for x hours at a speed of
(x + 1) km/h and cycles for (x - 1) hours at
a speed of (2x + 5) km/h. If the total distance
travelled is 90 km, x
Given:
A man walks for x hours at a speed of (x + 1) km/h and cycles for (x - 1) hours at a speed of (2x + 5) km/h.
Total distance travelled is 90 km.
To find:
The value of x.
Solution:
We know that,
[tex]Speed=\dfrac{Distance}{Time}[/tex]
[tex]Speed\times Time=Distance[/tex]
A man walks for x hours at a speed of (x + 1) km/h, so walking distance is
[tex]D_1=(x+1)(x)[/tex] km
The man cycles for (x - 1) hours at a speed of (2x + 5) km/h, so the cycling distance is
[tex]D_2=(2x+5)(x-1)[/tex] km
Now,
Total distance = 90 km
[tex]D_1+D_2=90[/tex]
[tex](x+1)x+(2x+5)(x-1)=90[/tex]
[tex]x^2+x+2x^2-2x+5x-5-90=0[/tex]
[tex]3x^2+4x-95=0[/tex]
[tex]3x^2+19x-15x-95=0[/tex]
[tex]x(3x+19)-5(3x+19)=0[/tex]
[tex](3x+19)(x-5)=0[/tex]
[tex]3x+19=0\text{ and }x-5=0[/tex]
[tex]x=\dfrac{-19}{3}\text{ and }x=5[/tex]
Time cannot be negative. So, the only possible value of x is 5.
Create an expression that uses subtraction, division, and at least one exponent and simplifies to 6.
Answer:
6 itself
Or, (8-2) ÷ 1³ = 6
Step-by-step explanation:
Below is the hint to above answer!
(6- 0) ÷ 1³= 6
Answer:
(6×9)÷[tex]3^{2}[/tex]=6
On a road with 24 streetlights, 3 of them do not work. What is the ratio of streetlights that work to streetlights that do not work?
Answer:
3:24 or 1:8 simplyfied
Step-by-step explanation:
3 dont work
16 Use the Empirical Rule. (Do not use technology. Technology will give a slightly different answer.)
Draw a sketch of the normal distribution and label the mean and 1, 2, and 3 standard devitons above and
below the mean with computed values.
Assume that the weight of 1-year-old girls in the USA is normally distributed with Mean = 9.5 kg, Standard
Deviation = 1.1 kg.
(a) 68% of the data is between which 2 values? 8.4 oro kg -- 10.0 kg
(b) 95% of the data is between which 2 values? 7.3 kg - 11. oo kg
(c) What percentage of the data is less than 8.4 kg?
(d) What percentage of the data is between 7.3 kg and 11.7 kg?
(w) What percentage of the data is more than 12.8 kg?
Answer:
a)8.4kg to 10.6kg
b)7.3 kg to 11.7kg
c)16%
d) 95%
e) 0.15%
Step-by-step explanation:
The empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the question,
Mean(μ) = 9.5 kg,
Standard Deviation (σ) = 1.1 kg.
a) 68% of the data is between which 2 values?
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
μ - σ
= 9.5kg - 1.1kg
= 8.4kg
μ + σ
= 9.5kg + 1.1kg
= 10.6kg
Therefore, 68% of the data is between 8.4kg to 10.6kg
(b) 95% of the data is between which 2 values?
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
μ - 2σ
9.5kg - 2(1.1)kg
9.5kg - 2.2 kg
= 7.3kg
μ + 2σ
9.5kg + 2(1.1)kg
9.5kg + 2.2 kg
= 11.7kg
Therefore, 95% of the data is between 7.3 kg to 11.7kg
(c) What percentage of the data is less than 8.4 kg?
We need to find how many standard deviations from the mean 8.4kg is, in order to know the percentage it falls under
μ - xσ = 8.4kg
= 9.5kg - 1.1x = 8.4kg
9.5 - 8.4 = 1.1x
1.1 = 1.1x
x = 1.1/1.1
x = 1
Hence, the percentage it falls under according to Empirical rule = 68%
The percentage of the data that is less than 8.4 kg is calculated as:
100 - 68/2 = 32/2 = 16%
(d) What percentage of the data is between 7.3 kg and 11.7 kg?
We have to find the Standard deviation that they fall under
For 7.3 kg
μ - xσ = 7.3kg
= 9.5kg - 1.1x = 7.3kg
9.5 - 7.3 = 1.1x
2.2 = 1.1x
x = 2.2/1.1
x = 2
μ + xσ = 11.7kg
= 9.5kg + 1.1x = 11.7kg
11.7 - 9.5 = 1.1x
2.2 = 1.1x
x = 2.2/1.1
x = 2
Therefore, based on the calculation above and the empirical formula rule, the percentage of the data is between 7.3 kg and 11.7 kg is 95%
(e) What percentage of the data is more than 12.8 kg?
μ + xσ = 12.8kg
9.5kg + 1.1x = 12.8kg
= 12.8- 9.5 = 1.1x
3.3 = 1.1x
3.3 = 1.1x
x = 3.3/1.1
x = 3
Hence, the percentage it falls under according to Empirical rule = 99.7%
The percentage of the data that is more than 12.8kg is calculated as:
100 - 99.7/2 = 0.3/2 = 0.15%
What’s the answer please help
Answer:
{121,144,169} X intersecting Y means common number between x and y set
Write an equation in slope-intercept form of the line that is parallel to y = 5x + 12.
Answer:
good luck bro these types of questions are so annoying im doing one now and is the question from mathswatch
Step-by-step explanation:
please help!
Is (2, 10) a solution of y > 4x + 1?
Yes, (2, 10) is a solution of y > 4x + 1.
No, (2, 10) is not a solution of y > 4x + 1.
Answer:
yes is the answer took the test yesterday
Step-by-step explanation:
please help me with number 8. part A and B. it’s a test
Answer:
Dude divide the amount of money small loaves cost by $97 and then do the same but with the amount of money the loaves cost
Need help asapppppp!!!!
Answer:
..
Step-by-step explanation:
You can easly calculate this.. then compare..
Example :
1/5 = 0.2
1/4 = 0.25
Then 1/4 > 1/5
In preparation for an Easter egg hunt,4 blue eggs are filled for every 7 green eggs. How many green eggs will be filled if 100 blue eggs were filled?
Answer:
175 green eggs
Step-by-step explanation:
The ratio of blue eggs to green eggs that are filled is 4/7
You can make a proportion:
4/7 = 100/x
x is the number of green eggs filled (x is the answer to the problem.
If you cross-multiply then it will be 700 = 4x
divide by 4 on both sides and x would equal 175.
HELP!!! GEOMETRY 15 POINTS
Can you solve this math minigame first?
Don't use a calculator.
Whoever gets the most right wins and gets brainliest
Goodluck
----------------
1 x 4
4 x 4
2 x 5
10 x 10
9 x 9
8 x 8
6 x 6
6 x 5
7 x 8
100 x 100 <= solve for THREE points
factorize 2x² - 5x+ 2x - 5
Answer:
(x+1)(2x-5)
Step-by-step explanation:
Answer:
(x+1)(2x-5)
Step-by-step explanation:
50 points please help
Answer:
What are in the boxes?
Step-by-step explanation:
Can you show the text in the choose box please?
BRAINLIEST AND 50 POINTS!!!!! Choose the best answer
∠FOA 40 140 90 130 50
∠COA 40 140 90 130 50
∠DOA 40 140 90 130 50
Answer:
2nd one COA 40 140 90 130 50
Step-by-step explanation:
IF IM WRONG TELL ME AND I HELP YOU OUT AGAIN
Answer:
A=180 B=150 C=130 D=90 E= 60 F=40
Step-by-step explanation:
A=180 B=150 C=130 D=90 E= 60 F=40
PLZZ HELP ME
Oscar lends his brother $125.00 and charges him 5% interest. How much will Oscar's brother pay back for the loan in total?
A.
$118.75
B.
$130.00
C.
$131.25
D.
$187.50
Answer:
125/100 X 105 = 131.25
loan total = $131.25