greg is at a used bookstore. Paperback books cost $1 each, and hardcover books cost $2 each. Greg can spend up to $20 in all. Write and inequality that represents this situation. Let x be the number of paperback books, and let y be the number of hardcover books.
Step-by-step explanation:
Cost of paperback books = $1x = $x
Cost of hardcover books = $2y
Given Greg can spend a MAXIMUM of $20,
Cost of Paperback books + Cost of hardcover books must be at most 20.
Inequality of this situation =
[tex]x + 2y \leqslant 20[/tex]
NEED HELP ASAP PLEASE PLEASE PLEASE
Answer:
tanθ=1.17
Step-by-step explanation:
please see the attachment below
PLS HELP ASAP!!!!!!!!!!!
2nd one
I don't take animal biology/zoology or whatever but I think it's just a long winded version of saying camouflage
Answer:
I am pretty sure the answer is B. (The second one)
Step-by-step explanation:
What is the axis of symmetry for the function y=-(x - 3)2 + 5?
B. X=-3
O
A x= -5
C. x= 3
O D. x=5
Simplify the following expression. (3 + 8x) + 7x 3 +15 18 + x 11x+7 18 x
Answer:
3 plus 15x should be the correct answer.
Step-by-step explanation:
hope this helped
Answer:
3+8x+7x3+1518+x11x+718x
=3+8x+7x3+1518+x12+718x
Step-by-step explanation:
[tex]x {}^{2} - 2ax + a {}^{2} - b = 0[/tex]
Answer:
The answer is the last line.
Step-by-step explanation:
Use the quadratic formula
a = 1
b = -a
c = a^2 - b
x = -b +/- sqrt(b^2 - 4ac)
=================
2a
x = a +/- sqrt(a^2 - 4(1)*(a^2 - b)
========================
2
x = a +/- sqrt(a^2 - 4a^ + 4b)
=====================
2
x = a +/- sqrt(4b - 3a^2)
===================
2
Please help me and actually give me a proper answer pleaseeee I beg youuuu
Answer:
A
Step-by-step explanation:
To figure out when the object hit the ground you need to set h(t)=0, after this you need to find the number that when it is plugged in for t makes the equation equal to 0
Plsss help!! Write the equation of the line for the graph shown below.
Answer:
C. y = ½x + 4
Step-by-step explanation:
Equation for a line in slope-intercept form is given as y = mx + b
So, we need to find the slope (m) and the y-intercept (b) of the line given.
m = ∆y/∆x
Using two points on the line, (0, 4) and (-2, 3),
Slope (m) = (3 - 4)/(-2 - 0)
m = -1/-2
m = ½
y-intercept (b) = 4, this is where the line intercepts the y-axis.
To write the equation, substitute m = ½ and b = 4 into y = mx + b
Thus:
y = ½x + 4
h - c + what = h
help help
Answer:
h - c + c = h
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If you have H - C + ____ = H you would need something to cancel out C and I believe that would just be a positive C
Multiply the polynomials and simplify by combining like terms.
(x2 + 2) (4x3+x-5) = Simplify your answer
Answer:
4x^5+9x^3-5x^2+2x-10
Step-by-step explanation:
(x^2+2)(4x^3+x-5)
4x^5+x^3-5x^2+8x^3+2x-10
4x^5+x^3+8x^3-5x^2+2x-10
4x^5+9x^3-5x^2+2x-10
Help please it’s bout to be report cards and I have a bad grade
Step-by-step explanation:
Given,
[tex]y = - 3(x - 2) + 4[/tex]
then,
[tex]y = - 3x + 6 + 4 \\ y = - 3x + 10[/tex]
also,
[tex]y + 3x = 10 \\ 3x + y = 10 \\ multiply \: equation \: by \: 2 \\ 6x + 2y = 20[/tex]
From here you can see,options C and E are the answer
What is the area of a circle with a radius of 1 foot?
Answer:
C. π ft ²
Step-by-step explanation:
:)
Answer:
c. 3.14^2
Step-by-step explanation:
A= pi × R^2
have a good day
Help If $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible value of the difference $a.b - c.d$ ?
Answer: 10 I think
Step-by-step explanation:
9+1 I guess
Answer:
:Correct answer is 18.3
:Dollar replacement 70
f) 2(x +3) = 8 - 3 (x-4)
Answer: x = 14/5. Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5
Answer:
x = 2.8Step-by-step explanation:
2(x +3) = 8 - 3 (x-4)
=> 2x + 6 = 8 - 3x + 12
=> 2x + 3x = 8 - 6 + 12
=> 5x = 14
[tex] = > x = \frac{14}{5} [/tex]
=> x = 2.8 (Ans)
TIMED WILL GIVE BRAINLYIST
Answer:
D)
Step-by-step explanation:
TY is a ray.
FR is a segment.
Ray TY intersects segment FR at point P.
Answer: D)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: TY intersects FR at point P
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
The cost per guest of catering an event of no more than 100 people is modeled by the function f(x) = 20 + 5x. The number of guests is modeled by the function g(x) = 100 −x , where x represents the number of guests fewer than 100 that attend. Evaluate(f ∙g )(18) and interpret what it means in the context of the problem.
Answer:
430 is the cost of catering 18 less than 100 guests.
Step-by-step explanation:
f(g(18))=f(100-18)=f(82)=20+5*82=430
Two points have the coordinates (2,3) and (7,9).
Calculate the distance between the two points. Give the answer in two significant figures.
Answer:
x¹y¹=2,3
x²y²=7,9
ans
prove
and
last
=
rhs
Determine the degree of the polynomial 49xy+34y−72z.
The polynomial 49 · x · y + 34 · y - 72 · z has three variables (x, y, z) and each of these variables has a degree of 1.
How to determine the degree of a polynomial
Variables and degrees are the most important features in polynomials. A variable is a letter that represents at least one value of an expression and the degree of the variable is the maximum number of the exponent associated to the variable. According to the statement, the polynomial has three variables (x, y, z), each of them has an degree of 1, that is:
grade (x) = 1, grade (y) = 1, grade (z) = 1
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i will give BRAINLIEST!!! middle school math...
On a coordinate grid, point is at (2, 1) and point Ris at (-6, -5) Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? O Q(2, -1), S(-6,5) O Q(-2, 1), S(6,-5) O Q(-2, -1), S(6,5) O Q(-2, 1), S(-6, 5)
Answer:
Solution given:
A(x,y))----reflection about x axis--->A'(x,-y)
P(2,1)---reflection about x axis----->Q(2,-1)
R(-6,-5)----reflection about x axis-->S(-6,5)
Answer:
A. Q(2, -1), S(-6,5)Step-by-step explanation:
Reflection rule across the x-axis:
(x, y) → (x, -y)P(2, 1) → Q(2, -1)R(-6, -5) → S(-6, 5)Correct choice is A
what is 286,713 rounded to the nearest ten thousand?
Answer:
290,000
Step-by-step explanation:
sorry if wrong
What is the first step to solve the following system of equations using substitution?
ſ 3.x+y= 15
5x – 3y = 11
Answer:
multiply 3 to the second eqn
I arrive at a bus stop at a time that is normally distributed with mean 08:00 and SD 2 minutes. My bus arrives at the stop at an independent normally distributed time with mean 08:05 a.m. and SD 3 minutes. The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus
Answer:
0.0485 = 4.85% probability that you miss the bus.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
When two normal distributions are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In this question:
We have to find the distribution for the difference in times between when you arrive and when the bus arrives.
You arrive at 8, so we consider the mean 0. The bus arrives at 8:05, 5 minutes later, so we consider mean 5. This means that the mean is:
[tex]\mu = 0 - 5 = -5[/tex]
The standard deviation of your arrival time is of 2 minutes, while for the bus it is 3. So
[tex]\sigma = \sqrt{2^2 + 3^2} = \sqrt{13}[/tex]
The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus?
You will miss the bus if the difference is larger than 1. So this probability is 1 subtracted by the pvalue of Z when X = 1.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - (-5)}{\sqrt{13}}[/tex]
[tex]Z = \frac{6}{\sqrt{13}}[/tex]
[tex]Z = 1.66[/tex]
[tex]Z = 1.66[/tex] has a pvalue of 0.9515
1 - 0.9515 = 0.0485
0.0485 = 4.85% probability that you miss the bus.
Which expression is equivalent to 16+2·36?
f 2^4 + 2^3 ⋅ 3^2
g 2^3 + 2^3 ⋅ 3^2
h 2^4 + 2^2 ⋅ 3^2
j 2^3 + 2^2 ⋅ 3^3
9514 1404 393
Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
16 +2·36 = 16 +2·4·9 = 16 +8·9
= 2^4 + 2^3 · 3^2 . . . . . matches choice F
_____
Since you're familiar with your multiplication tables, you know ...
4 = 2·2
8 = 2·4 = 2·2·2 = 2^3
16 = 2·8 = 2·2·2·2 = 2^4
9 = 3·3 = 3^2
36 = 4·9
The exponent signifies repeated multiplication.
Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
if the average of x and y is 11 and the average of x, y and z is 5, what is the value of z?
Answer:
z = -17
Step-by-step explanation:
If the average of x and y is 11, then;
x+y/2 = 11
x+y = 2 + 11
x+y = 22 .... 1
similarly, if average of x, y and z is 5, then;
x+y+z/3 = 5
x+y+z = 3*5
x+y+z = 15
Since x+y = 22
22 + z = 5
z = 5 - 22
z = -17
Hence the value of z is -17
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 134 millimeters, and a standard deviation of 8 millimeters. If a random sample of 44 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters? Round your answer to four decimal places.
; 134
a:8
n:44
3.6
3.6
P,ob.Z);Jlty : 1 - P(:
<z<-
[ - ]]p(-2.98 ' z ' 2.98)]
[ -]p(z ' 2.98) - p(z ' -2.98)]
[ - E0.9986 - 0.0014]
=0.0028
The probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.
To determine the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters, we can use the Central Limit Theorem and assume that the sample mean follows a normal distribution.
Given:
Mean diameter of the population (μ) = 134 millimeters
Standard deviation of the population (σ) = 8 millimeters
Sample size (n) = 44
Difference from the population mean (d) = 3.6 millimeters
To find the probability, we need to calculate the z-score and then find the corresponding area under the normal curve.
First, calculate the standard error of the mean (SE):
SE = σ / sqrt(n)
SE = 8 / sqrt(44) ≈ 1.206
Next, calculate the z-score using the formula:
z = (x - μ) / SE
For a difference of 3.6 millimeters, we have:
z = (3.6 - 0) / 1.206 ≈ 2.988
Using a standard normal distribution table or a calculator, we can find the area to the right of the z-score (greater than 2.988). The area represents the probability.
P(z > 2.988) ≈ 0.0014
Rounding to four decimal places, the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.
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Can someone help me with number 9 pllsssss I’m confused
Answer:
C
Step-by-step explanation:
The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the first five terms of the sequence
Answer:
second term: 9
4th term:81
[tex](3rd \: term)^{2} = 9 \times 81[/tex]
=729
[tex] \sqrt{729} = 27[/tex]
3rd term=27
[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]
a1=3 the first term
[tex]81 = 3 \times {q}^{3} [/tex]
[tex] {q}^{3} = 27[/tex]
q=3
[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]
carmen y catalina comparan la nota que obtuvieron en su examen de nivelacion matematica y mencionan lo siguiente: nuestras notas juntas es igual a 34 puntos pero se sabe que carmen obtuvo 4 puntos mas que catalina, ¿ cual es la nota de catalina?
Answer:
38?
Step-by-step explanation:
helppp meee plsss i’m begging
Answer:
y = 9
Step-by-step explanation:
Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p is a square. Let the sides of the rectangle be x and y and let f and g represent the area (A) and perimeter (p), respectively. Find the following. A = f(x, y) = p = g(x, y) = ∇f(x, y) = ????∇g = Then ???? = 1 2 y = implies that x = . Therefore, the rectangle with maximum area is a square with side length .
Answer:
a) Rectangle of maximum area ( given perimeter p ) is
A= x² That means the rectangle of maximum area, is a square
Step-by-step explanation:
The equation: A (x,y) = x*y is the area of a rectangle ( to maximize)
Subject to: p = 2*x + 2*y or g(x,y) = 2*x + 2*y -p
Now
A(x,y) = x*y δA/δx = y δA/δy = x
And
g(x,y) = 2*x + 2*y -p
δg(x,y)/δx = 2 and δg(x,y)/δy = 2
Matching respective partial derivatives we get a system of equation
δA/δx = y = λ * = δg(x,y)/δx = 2
y = 2*λ
δA/δy = x = 2*λ
The system of equations is:
y = 2*λ
x = 2*λ
And 2*x + 2*y -p = 0
p = 2*x +2*y
So x = y p is equal either 4*x or 4*y
Solving for λ