Step-by-step explanation:
7^3 × 7^(1÷2)
= 7^(3+ 0.5)
=7^3.5 ans
Find the general solution of (x+3)y’=2y
Answer:
[tex]y=C(x+3)^2[/tex]
Step-by-step explanation:
We are given:
[tex]\displaystyle (x+3)y^\prime=2y[/tex]
Separation of Variables:
[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}[/tex]
So:
[tex]\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx[/tex]
Integrate:
[tex]\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx[/tex]
Integrate:
[tex]\displaystyle \ln|y|=2\ln|x+3|+C[/tex]
Raise both sides to e:
[tex]|y|=e^{2\ln|x+3|+C}[/tex]
Simplify:
[tex]|y|=(e^{\ln|x+3|})^2\cdot e^C[/tex]
So:
[tex]|y|=C|x+3|^2[/tex]
Simplify:
[tex]y=\pm C(x+3)^2=C(x+3)^2[/tex]
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: N and M
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: N and R
Vertical angles: A pair of angles that are made by two intersecting lines.
Complimentary: P and Q
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
The ratio of the number of girls to the number of boys in a chess club is 3 to 2. There are 14 boys in the
chess club. What is the number of girls in the chess club?
Answer:
21 girls
Step-by-step explanation:
3 girls: 2 boys
multiply both sides by 7
21 girls: 14 boys
En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cual es el ancho real del castillo?
Ayúdenme porfavo ;w;
Responder:
1" = 83 ft
10.5" = 83*10.5=871.5 ft
Explicación paso a paso:
Espero que esto te ayude ¡UwU! Saludos, Jaclyn
Factor the expression 49t4 - 25 using the polynomial identity (x2 - y2) = (x - y)(x + y)
Answer:
Step-by-step explanation:
49t^4-25
(7t^2-5)(7t^2+5)
what's the answers to this question? help pls
Answer:
answer: B
Step-by-step explanation:
brainliest pls
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: N and M
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: N and R
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary: P and Q
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
#3Elizabeth takes her younger siblings to the fair. She spends a total of
$40. She buys 3 entrance tickets for $8.00 each, and 8 bags of popcorn.
What is the price per bag of popcorn? (type just the whole number below
Please help!!! Have been stuck on this problem for the past hour. can someone be so kind and explain it to me. I have a Quiz tomorrow on this. solving systems using substitution y = - 7y + 3; Y+ 7x = 10
Answer:
Step-by-step explanation:
y = -7x+3
substitute -7x+3 for y in the other equation.
y + 7x = 10
(-7x+3) + 7x = 10
3 = 10, a contradiction, so there is no solution.
If you were to graph both equations, you would see that they are parallel lines. There is no point that belongs to both lines, so there is no (x,y) that satisfies both equations.
Pls help asap 15 POINTS
For what value of c are the factors of x2 + cx + 121 the same?
The value of c is [blank]?
Answer:
22
Step-by-step explanation:
Using the expression to determine the value of c
121 = (c/2)²
find c
121 = c²/4
c² = 121 * 4
c = √121*4
c = √484
c = 22
Hence the value of c is 22
What is 2/7+7/8
Help
Answer:
65/56 = 1 9/56
Step-by-step explanation:
Answer:
Step-by-step explanation:
16/56 + 49/56 = 65/56= 1 9/56
Use the net to find the approximate surface area of the cylinder to the nearest square meter.
Answer:
Step-by-step explanation:
radius r of cylinder = 7
circumference of cylinder = 2πr = 14π meters.
lateral area of cylinder = 14π×11 = 154π m². This is represented by the rectangle.
area of top = πr² = 49π m²
area of bottom = area of top = 49π m²
total surface area = lateral area + 2(top area) = 154π + 2×49π = 252π ≅ 792 m²
BRAINLIEST only for effort-y answers
In the graph, which vertical line (V) and horizontal line (H) can be used to graph point E?
A) V: x = 2; H: y = –2
B) V: y = –2; H: x = –2
C) V: x = –2; H: y = 2
D) V: x = 2; H: y = 2
Answer:
A. V: x = 2; H: y = –2
Step-by-step explanation:
you start at 0 and then you have to go right first til you get to 2 then go down til you get to -2
**I got this correct on test also :))
10. A rectangle has a perimeter of 22 cm. If the length of the rectangle is 2 cm more than two times the
width, what are its dimensions?
Answer:
w = 3 cm
l = 8 cm
Step-by-step explanation:
let 'w' = width
let '2 + 2w' = length
P = 2l + 2w
22 = 2(2 + 2w) + 2w
22 = 4 + 4w + 2w
22 = 4 = 6w
18 = 6w
w = 3
length = 2 + 2(3) = 18
Fill in the blank 5x20=5x2x blank
Answer:
5×20 = 5×2×_
100 = 10×_
100 = 10 × _10_
ans 10
Imagine that you have 1 dollar, 2 quarters, 3 nickels and 5 pennies in your wallet. What percent of a dollar do you have in your wallet?
Answer:
Step-by-step explanation:
%/100=1+2(.25)+3(.05)+5(.01)
%/100=1.7
170%
Write inequalities to represent the situations below. The temperature inside the lab refrigerator is no more than 35 . Use t to represent the temperature (in ) of the refrigerator.
Answer:
t is less than or equal to 35
Step-by-step explanation:
Last week, the Tasha Cola company had sales of $2,346.87. This week, the company had sales of $8,867.14. Which is the best estimate of the company’s total sales for both weeks?
Answer:
$11,200 or $11,000
Step-by-step explanation:
The amounts are approximately $2,300 and $8,900 which add up to $11,200.
Answer: $11,200 or $11,000
It seems there are choices for this problem, but you did not include them, so I can't tell the exact correct answer.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y=-26x
Step-by-step explanation:
If a point is equal distance from the 2 sides of an angle it is
A. on the perpendicular bisector
B. on the angle bisector
C the vertex of the angle
D on one side of the angle
Step-by-step explanation:
option A is the correct answer according to me .
plz mark my answer as brainlist if you find it useful.
Answer:
The answer is B
y
10
8
6
4
2
X
-10
-8
-6
-4
-2.
NS
4
ON
8
10
-2
-4.
-6
-8
-10
Need help ASAP giving 55 points and a branleist
Answer:
Step-by-step explanation:
1.
Igneous rock can change into sedimentary rock or into metamorphic rock. ... Igneous rock forms when magma cools and makes crystals. Magma is a hot liquid made of melted minerals. The minerals can form crystals when they cool.
2. The three processes that change one rock to another are crystallization, metamorphism, and erosion, and sedimentation. Any rock can transform into any other rock by passing through one or more of these processes.
3. The three types of metamorphism are Contact, Regional, and Dynamic metamorphism. Contact Metamorphism occurs when magma comes in contact with an already existing body of rock.
Find the sine and cosine of the given angle
120°
Answer:
By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. We know that the value of cos 30 degrees is √3/2. Therefore, sin 120° = √3/2
Step-by-step explanation:
please mark brainlist
Which of the following polynomials does not have real roots?
A. 12x² - 17x - 7
B. x² + x - 2
C. x² + x + 2
D. x² + 5x + 6
Please help!!!
Answer:
b
Step-by-step explanation:
If 18 is subtracted from twice the square of an integer, the
result is equal to nine times the integer. Find the integer.
[Only an algebraic solution will be accepted.]
Answer:
-3/2
Step-by-step explanation:
Let x = the integer:
2x^2 - 18 = 9x
2x^2 - 9x - 18 = 0
Now either factor that or use the quadratic formula if you're lazy like me.
x = -3/2 and 6, so x must be 6 because it has to be an integer.
why is it important to write equivilant fractions before renaming
Answer:
when y rename a fraction, you are finding fraction that have the same value but have different name. these are known as equivalent fraction you can rename fraction million of different ways...As long as you multiply numerator and denominator by same number, you will get and equivalent fraction...
Step-by-step explanation:
for example :5/2
5×2/2×2 , 5×3/2×3 , 5×4/2×4 , 5×5/2×5
ANSWER OF THESE EQUIVALENT NUMBERS ARE :
10/4 , 15/6 , 20/8 , 24/10 ....
4b+5=1+5b
B=____
What do I do....I kinda forgot how to do this...
Answer:
b = 4
Step-by-step explanation:
4b + 5 = 1 + 5b
4b-5b + 5 = 1
4b-5b = 1 - 5
-b = 1 - 5
-b = -4
-b = -4
b - 4
Decide if the following is a true or false statement - explain how you know
1.5 + (-1.5) is equal to zero
Answer:
yes it's zero when measured from -1.5 and +1.5 to zero the distance is zero
Determine if the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 800 gas stations, the mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was $0.008 per gallon. A random sample of size 45 is drawn from this population. What is the probability that the mean price per gallon is less than $2.812?
Answer:
0.0003 = 0.03% probability that the mean price per gallon is less than $2.812
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Finite correction factor:
If the sample is more than 5% of the population, instead of Central Limit Theorem, we use the finite correction factor, as the standard deviation of the sampling distribution would be too big.
The mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was $0.008 per gallon.
Large sample, so this can be treated as the population data. Then [tex]\mu = 2.816, \sigma = 0.008[/tex]
Sample of 45:
45/800 = 0.056 = 5.6% -> Sample more than 5% of the population, so we use the finite correction factor. This means that s will be multiplied by:
[tex]FCF = \sqrt{\frac{N-n}{N-1}}[/tex]
In which n is the size of the sample(45) and N is the size of the population (800). So
[tex]FCF = \sqrt{\frac{755}{799}} = 0.9721[/tex]
By the Central Limit Theorem, [tex]n = 45, s = 0.9721*\frac{0.008}{\sqrt{45}} = 0.00116[/tex]
What is the probability that the mean price per gallon is less than $2.812?
This is the pvalue of Z when X = 2.812. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2.812 - 2.816}{0.00116}[/tex]
[tex]Z = -3.45[/tex]
[tex]Z = -3.45[/tex] has a pvalue of 0.0003
0.0003 = 0.03% probability that the mean price per gallon is less than $2.812
which set a characteristics produces one uniche triangle
Answer:
A unique triangle will be produced if you are given: all three sides (Side-Side-Side) two sides and the included angle (Side-Angle-Side) two angles and the included side (Angle-Side-Angle)
Step-by-step explanation:
hope this helps! :D
