Answer:
(x+8y)(x-8y)
Step-by-step explanation:
8 squared is 64 and so is y for y^2.
One positive and a negative turns into a negative, so that's why it's only one.
From a collection of 124 poems, 36 are sonnets, 42 are odes, and 46 are free verse. A poem is
selected from the collection at random. Find the probability that it is a sonnet or an ode. Express
your answer to the nearest whole percent.
A 49 percent
B 63 percent
C 83 percent
D 77 percent
Answer:
63
Step-by-step explanation:
36 is approximately 30% of 124 and 42 is approximately 33% of 124, so 30 + 33 = 63
Answer:
Answer, B
Step-by-step explanation:
add the odes and sonnets, and find the percentage of 78/124 which is 62.9% rounded to 63%.
The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 260 minutes, the monthly cost will be $114. If the customer uses 640 minutes, the monthly cost will be $247.
A) Find an equation in the form y= mx+b, where x is the number of monthly minutes used y is the total monthly cost of the NextFell plan.
Answer: _____
B) Use your equation to find the total monthly cost if 949 minutes are used.
Answer: If 949 minutes are used, the total cost will be _____ dollars.
Answer:
Explained below.
Step-by-step explanation:
(A)
Use two-point form to determine the equation for the total monthly cost of the NextFell plan.
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\cdot (x -x_{1})\\\\(y-247)=\frac{247-114}{640-260}\cdot (x-640)\\\\(y-247)=0.35x-224\\\\y=0.35x+23[/tex]
(B)
Compute the total monthly cost if 949 minutes are used as follows:
[tex]y=0.35x+23\\\\=(0.35\times 949)+23\\\\=355.15[/tex]
Thus. the total monthly cost if 949 minutes are used is $355.15.
What is 2 ( 14+3) times 12 divided by 2?
Answer:
Step-by-step explanation:
find the inequality represented by the graph?
Answer:
y>1/3x-3
Step-by-step explanation:
Answer:
Step-by-step explanation:
m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{1}{3}[/tex]
y-intercept is (- 3)
y > [tex]\frac{1}{3}[/tex] x - 3
If you can solve this for me, I'll give brainliest. It's due today please help
Answer:
free 25
Step-by-step explanation:
The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm and a standard deviation of 0.005 mm. A sample of 25 bushings is taken once an hour. (a) Within what interval should 95 percent of the bushing diameters fall
Complete question is;
The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm and a standard deviation of 0.005 mm. A sample of 25 bushings is taken once an hour.
a. Within what range should 95 percent of the bushing diameters fall?
b. Within what range should 95 percent of the sample means fall?
c. What conclusion would you reach if you saw a sample mean of 4.020?
Answer:
A) (4.0252, 4.0448).
B) (4.0331, 4.0369).
C) If i saw a sample mean of 4.020, i would conclude that the sample came from a population that did not have a population mean equal to 4.035
Step-by-step explanation:
A) We know that an approximate 95% confidence interval for the item in question has a range of diameter given by the equation;
Range = x¯ ± 1.96σ
Now, since we have a mean of 4.035 mm and a standard deviation of 0.005 mm, we can solve;
Range of bushing diameter = 4.035 ± (1.96 × 0.005) = 4.035 ± (0.0098)
= 4.0252 or 4.0448 and it can be written as;(4.0252, 4.0448).
B) We also know that In the large-sample case, a 95% confidence interval estimate for the population mean is given by the formula;
CI = x¯ ± (1.96s/√n))
Thus, if we solve, we get;
CI = 4.035 ± (1.96 × 0.005 )/√25
CI = 4.035 ± 0.0019
or (4.0331, 4.0369).
c. If i saw a sample mean of 4.020, i would conclude that the sample came from a population that did not have a population mean equal to 4.035 because it doesn't fall into the range of confidence intervals we got earlier.
Consider the initial value problem:
2tyâ²=8y, y(1)=â2. 2tyâ²=8y, y(1)=â2.
Required:
a. Find the value of the constant C and the exponent r so that y=Ct^r is the solution of this initial value problem.
b. Determine the largest interval of the form a < t < b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution.
c. What is the actual interval of existence for the solution (from part a)?
Answer:
Following are the solution to the given point:
Step-by-step explanation:
In point a:
[tex]\to 2ty'=8y\to \frac{1}{y} dy = 4 \frac{1}{t} dt\\\\\to \int \frac{1}{y} dy = 4 \int \frac{1}{t} dt \\\\\to \log y = 4 \log t + \log C\\\\\to \log y = \log ct^4\\\\\to y=ct^4 \\\\\to y(-2)=16 \\\\\to 16= c(-2)^4\\\\\to 16= 16c\\\\\to c= \frac{16}{16}\\\\\to c=1\\\\\to r=4[/tex]
In point b:
[tex]\to 2ty' = 8y \\\\\to y'- \frac{4}{t} y=0 \\\\here \ p(t) = \frac{1}{t}[/tex] it's a discontinuous point at t=0, and the largest internal containing -2 since [tex]y=(-2) = 16 \ is\ (-\infty, 0)[/tex]
In point c:
[tex](-\infty,0 ) \cup (0, \infty)[/tex]
Simplify. 2(5/3 + 3/4) - 4/3
A) 13/12
B) 11/4
C) 3
D) 7/2
Answer:
13/12
Step-by-step explanation:
2(5/3+3/4)_4/3
2(20+9/12)_4/3
2(29/12)_4/3
58/24_4/3
58_32/24
26/24
13/12
2.0 PLZZ help thank you
Answer: So if you do 50 dollars - 70% you get, 15 U.S. dollars
Hope this helps :)
20c - 8d? need help kinda hard
Answer:
the answer is 4(5c-2d)
Answer:
20c-8d
Step-by-step explanation:
As long as you weren't any values for c or d, this expression cannot be simplified any further.
HTH :)
Suppose m<3=127 degrees. Find m<1.
Answer:
m∠1 = 37°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
Definition of a Line: A line is 180°All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
m∠3 = 127°
m∠G = 90°
Step 2: Find m∠2
Set up equation: m∠2 + 127 = 180Isolate unknown: m∠2 = 53°Step 3: Find m∠1
Set up equation: m∠1 + m∠2 + m∠G = 180Substitute: m∠1 + 53 + 90 = 180Combine like terms: m∠1 + 143 = 180Isolate unknown: m∠1 = 37°Find the slope of the line graphed below.
Answer:
-3/5
Step-by-step explanation:
I need to show my work using dmdcb help?
Answer:
2139 with a remainder of 1
Step-by-step explanation:
hope this helps :))) have a great day!
Explain the process to solve the equation. Use proper vocabulary in your explanation. One-fourth x = negative five-eighths
Answer:
-2.5
Step-by-step explanation:
Your want to isolate the x. This is a multiplication problem, so use the inverse operation, which is division. Divide both sides of the equation by
1/4 by multiplying by the reciprocal, 4. (− 5
8)(4) is − 5/2. Use substitution to check the answer. x = − 5/2 :)
Answer: First, you isolate x by dividing 1/4 on both sides.
1/4x divided by 1/4 equals zero, which just leaves x, and -5/8 divided by 1/4 equals -5/2, so x = -5/2. -5/2 can be simplified to -2.5,
To check the answer, substitute x for -5/2:
* 1/4 multiplied by -5/2 equals -5/8
* 5/8 = 5/8, so this proves that my answer is correct.
Plz anserw this. THANK YOU.
I will give brainelst
Answer:
[tex]m\angle 3=30^\circ,~m\angle 8=150^\circ[/tex]
Step-by-step explanation:
Angles and Lines
We must recall some properties of angles and lines:
Linear pair of angles: Two angles are linear if they are adjacent angles formed by two intersecting lines. They must add up to 180°.
Corresponding angles: They are angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are congruent, i.e., they have the same measure.
The figure shows two parallel lines a and b, crossed by the line m. These conditions make the following relations be true:
Angles 3 and 4 are linear pair
Angles 8 and 4 are corresponding.
The first relation leads to:
[tex]m\angle 3+m\angle 4 = 180^\circ[/tex]
The second relation leads to:
[tex]m\angle 4 = m\angle 8[/tex]
Since:
[tex]m\angle 3=x[/tex]
[tex]m\angle 8=5x[/tex]
Substituting:
[tex]x + 5x = 180^\circ[/tex]
Simplifying:
[tex]6x = 180^\circ[/tex]
Solving for x:
[tex]x = 180^\circ/6[/tex]
[tex]x = 30^\circ[/tex]
Now,
[tex]m\angle 3=x=30^\circ[/tex]
[tex]m\angle 8=5x=150^\circ[/tex]
[tex]m\angle 3=30^\circ,~m\angle 8=150^\circ[/tex]
[tex]5 +1[/tex] x [tex]10[/tex] = ?
Answer:
60
Step-by-step explanation:
Put in Parentheses.
(5 + 1) x 10 =
Solve numbers inside parentheses.
5 + 1 = 6
Now we have 6 x 10.
6 x 10 = 60
HELP ME FASTTTTTTTTTTTTTTTTTTTT
The age of a cat 2 years or older can be approximately converted into human years by multiplying by 4 and adding 16. Complete the table to represent the relationship between cat age and human years.
Answer:
Step-by-step explanation:
If the age of a cat is represented by 'x' and human years by 'y', relation between the age of cat and human years will be,
y = 4x + 16 [multiplying cat's age by 4 and by adding 16]
Now from the given table,
If x = 2,
y = 4×2 + 16
= 24
If y = 3,
y = 4×3 + 16
= 28
If x = 4,
y = 4×4 + 16
= 32
If x = 5,
y = 5×4 + 16
= 36
If x = 6,
y = 6×4 + 16
= 40
Cat age 2 3 4 5 6
Human years 24 28 32 36 40
what is the midpoint between a(2,-2) and B (-3, 2)
Answer:
Midpoint (xM, yM) = (4, 5)
Hope it helps if it does pls give me brainly :)
2(x - 5) = 9 -3x + 6 + 8 + 3x + 7
Answer:
x = 20
Step-by-step explanation:
2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7
2x - 10 = 9 - 3x + 6 + 8 + 3x + 7
2x = 10 + 6 + 8 + 7 + 9
2x = 40
x = 40 ÷ 2
x = 20
Thus, x = 20
-TheUnknownScientist
8. Jordyn bought a $50 cell phone case that was discounted 15%. Taxes were 5%. What was her total
cost?
Explained pls
I reallY need help with these problems. if somebody could give me the answers that would be great
Answer:
∠AMC = 75
Step-by-step explanation:
ΔABC,
∠C = 90° ; ∠B = 30°
∠A + ∠B +∠C = 180 {Angle sum property of triangle}
∠A + 30 + 90 = 180
∠A + 120 = 180
∠A = 180 - 120
∠A = 60°
In ΔACM,
∠ACM = 90/2 = 45° { CM is angle bisector}
∠ACM + ∠AMC +∠A = 180 {angle sum property}
45 + ∠AMC + 60 = 180
∠AMC + 105 = 180
∠AMC = 180 - 105
∠AMC = 75
can u pls help me with this question
Answer: It would be B 9/50
Step-by-step explanation: if you take 3/7 and x it by 0.1 you get 0.04285714285 and then if you divide that by 5/21 you get 0.18 which equals 9/50 as a fraction
luke had 49 crackers. he gave a equal amount to his 4 friends . how many crackers where left over?
what is the value of x in teh equation 1/5x-2/3y=30, when y=15
Answer:
x=200Step-by-step explanation:
Given the equation
[tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]
putting y=15
[tex]\frac{1}{5}x-\frac{2}{3}\left(15\right)=30[/tex]
[tex]\frac{1}{5}x-10=30[/tex]
add 10 to both sides
[tex]\frac{1}{5}x-10+10=30+10[/tex]
[tex]\frac{1}{5}x=40[/tex]
[tex]x=200[/tex]
Therefore, the value of x:
x=200Which of the following would be the slope of the line perpendicular to the line y=1/3x+3
Answer:
Step-by-step explanation:
-3
perpendicular slope is the negative of the reciprocal
the reciprocal of 1/3 is 3
the opposite of 3 = -3
Given: AB≅ BC and AK ≅ KC, ∠AKE ≅ ∠CKP, Prove: ∆AKE ≅ ∆CKP
PLEASE HELP!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Given:
AB ≅ BC
AK ≅ KC
∠AKE ≅ ∠CKP
To Prove:
ΔAKE ≅ ΔCKP
Statements Reasons
1). AB ≅ BC 1). Given
2). ∠BAC ≅ ∠BCA 2). Property of Isosceles triangles
3). ∠EKA ≅ ∠PKC 3). Given
4). ΔAKE ≅ ΔCKP 4). ASA Postulate of congruence
Hence ΔAKE ≅ ΔCKP.
Math algebra honors?!?
hidden cost of being a teacher?
Answer:
they have to pay for school supplies
Step-by-step explanation:
2 is 12.5& of the number
Answer:
if you ment to say 2 is 12.5% of what number the answer would be 16
Step-by-step explanation:
Write down what you know with x as the number you need to find.
Of is always "multiply"
Choose another way to write 12.5%
2 =12.5% of x
So 2 = 0.125xx
x= 2 *over*0.125
x=16
Answer:
x=16
Step-by-step explanation:
Let the number be x.
if they say 12.5% of a number, this means that 12.5/100 *x which will be :
12.5/100x
make it an equation (a true one)
12.5/100x=2
divide.
2 divided by 12.5/100x would be
x=16!
Cheers, I hope you can understand it well!