What is the correct evaluation of x2 - x + y2 when x is equal to 5 and y is equal to -2?
the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.
We are given an expression:
x² - x + y²
We need to find the value of the expression for x = 5 and y = - 2.
Now, substituting the values of x and y in the expression that is given to us, we get that:
x² - x + y²
( 5 )² - ( 5 ) + ( - 2 )²
Solving the squares of the numbers, we get that:
25 - 5 + 4
Simplifying to get the value of the expression, we get that:
= 24
Therefore, the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.
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please help. I dont understand it
Answer:
D. 32
Step-by-step explanation:
[tex] {4}^{ - 1} \times ( {2}^{3} \div {4}^{ - 2} )[/tex]
[tex] {2}^{ - 2} \times ( {2}^{3} \div {2}^{ - 4} )[/tex]
[tex] {2}^{ - 2} \times {2}^{7} [/tex]
[tex] = {2}^{5} = 32[/tex]
A shipping container will be used to transport several 120-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 25500
kilograms. Other shipments weighing 14500 kilograms have already been loaded into
the container. What is the greatest number of 120-kilogram crates that can be loaded
into the shipping container?
Answer: 91 crate
Step-by-step explanation:
weight preloaded=
14500
weight per crate=
120
weight capacity=
25500
Method 1 (Unwinding):
weight of all crates=
weight capacity−weight preloaded
=
=
25500−14500
=
11000
number of crates=
weight per crate
weight of all crates
=
=
120
11000
=
91.666666...
Technically, 91.666666... is the greatest number of crates that can be loaded into the shipping container. But you can't load part of a crate. The true maximum is the highest whole number below 91.666666..., which is 91.
Method 2 (Algebra):
c= number of crates
The greatest weight means less than 25500 kilograms can also be loaded into the container, so we will use the \leq≤ ("less than or equal to") symbol:
120c+14500≤
25500
−14500=
−14500
\color{red}{120}c\leq
120c≤
11000
120
11000
Divide both sides by 120
c ≤ 91.666666...
Technically, 91.666666... is the greatest number of crates that can be loaded into the shipping container. But you can't load part of a crate. The true maximum is the highest whole number below 91.666666..., which is 91.
A box of cereal weighs 0.48 kilograms. What is the weight in pounds to the nearest hundredth of the cereal box
Answer:
1.06
I hope this helps :D
g(n) = -n²-3
evaluate g(-2)
?
Use symmetry to evaluate the following integral.
[tex]\int\limits^4_{-4} {\frac{x^3+3x}{x^4+5} } \, dx[/tex]
The integrand is odd.
[tex]f(x) = \dfrac{x^3 + 4x}{x^4 + 5} \implies f(-x) = \dfrac{(-x)^3 + 4(-x)}{(-x)^4 + 5} = \dfrac{-x^3-4}{x^4+5} = -f(x)[/tex]
The integral of an odd function over a symmetric interval is zero, so
[tex]\displaystyle \int_{-4}^4 \frac{x^3+3x}{x^4+5} \, dx = 0[/tex]
This is because
[tex]\displaystyle \int_{-a}^a f(x) \, dx = \int_{-a}^0 f(x) \, dx + \int_0^a f(x) \, dx \\\\ ~~~~ = -\int_0^{-a} f(x) \, dx + \int_0^a f(x) \, dx \\\\ ~~~~ = \int_0^{-a} f(-x) \, dx + \int_0^a f(x) \, dx \\\\ ~~~~ = -\int_0^a f(x) \, dx + \int_0^a f(x) \, dx = 0[/tex]
where we substitute [tex]x\mapsto-x[/tex] in the second-to-last equality.
Round 4.645 to the
nearest whole number.
Answer:
the answer is 5
Step-by-step explanation:
Number Rounded to Nearest Whole Number
4.645 5
5.645 6
6.645 7
7.645 8
8.645 9
9.645 10
10.645 11
11.645 12
12.645 13
13.645 14
The pentagons ABCDE and PQRST are similar
Find the length x of RS.
B
E
R
Х
?
Continue
Answer: X or SR = 3.6
Step-by-step explanation: Simply divide TP and EA or one of each similar segments to get a number. Which 4.8 / 4 = 1.2 Then multiply this number by 3 to get your answer of x which is 3.6
52 POINTS KIND OF EASY QUESTION
A frisbee-golf club recorded the ages of its members and used the results to construct this histogram.
Find the number of members 30 years of age or younger
A histogram is a representation of the frequency distribution of a given data point of one variable on a graph.
The number of members for different ages.
16 - 20 = 6 members
21 - 25 = 2 members
26 - 30 = 10 members
31 - 35 = 3 members
The number of members 30 years and younger is 18 members.
What is a histogram?A histogram is a representation of the frequency distribution of a given data point of one variable on a graph.
We have,
From the graph, we see that,
Number of members for different ages.
16 - 20 = 6 members
21 - 25 = 2 members
26 - 30 = 10 members
31 - 35 = 3 members
Now,
The number of members 30 years and younger
= 6 + 2 + 10
= 18 members
Thus,
16 - 20 = 6 members
21 - 25 = 2 members
26 - 30 = 10 members
31 - 35 = 3 members
The number of members 30 years and younger is 18 members.
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I didn’t understand this question please help
Answer:
(a) y = 4x - 15
(b) y = (-1/4)x + 2
Step-by-step explanation:
The slope-intercept equation form for a line is
y = mx + b
Here m is the slope (rise/run) and b is the y-intercept ie the y-value at which the line crosses the y axis at x = 0. Drawing a picture helps
If two lines have the same slope, they are parallel
If another line has slope -(1/m) then it is perpendicular to the line with slope m
First convert the line equation into slope-intercept form as follows
8x - 2y = 1
Subtract 8x from both sides ==> -2y = 1- 8x
Multiply both sides by -1 ==> 2y = 8x - 1
Divide both sides by 2:
y = 4x - 1/2
Parallel line
y = 4x - 1/2
A parallel line should also have slope = 4
So it's equation will be of the form
y = 4x + b
To determine b, the y intercept, plug in values for x = 4, y =1 ad solve for b
1 = 4(4) + b ==> 1 = 16 + b ==> b = -15
So the equation of a line parallel to 8x - 2y = 1 passing through (4,1) is
y = 4x - 15 (Answer a)
Perpendicular Line
A perpendicular line to y = 4x - 1/2 should have the negative of the reciprocal of the slope
So the slope of the perpendicular line is -(1/4)
Equation is
y = -(1/4)x + b
Plug in the point values for (4, 1) to get
1 = - (1/4)(4) + b
1 = -1 + b
b = 2
So the equation of a line perpendicular to 8x - 2y = 1 passing through (4,1) is y = -(1/4)x + 2
A well know Statistical Institution claims that the average College tuition for a law degree costs at least thirty five thousand dollars. Analyzing a sample of fifty law schools in the vicinity of the study we found the sample had a mean tuition of $33,450 with a population standard deviation of $5,978 per year. At 2% level of significance test the Institution's claim.
Step-by-step explanation:
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 35000
Alternative Hypothesis, Ha: μ < 35000
Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (33450 - 35000)/(5978/sqrt(50))
z = -1.83
P-value Approach
P-value = 0.0336
As P-value >= 0.02, fail to reject null hypothesis.
There is not sufficient evidence to conclude that the average College tuition for a law degree costs at least thirty five thousand dollars.
a color printer prints 26 pages in 12 minutes. how many minutes does it take per page
Answer:
0.46 ( i didn’t want to calculate the whole thing because it repeats) or 6/13
Step-by-step explanation:
12 over 26 = 6 over 13
6 over 13 is 0.46
If the graph of y=-x^2 is translated horizontally 10 units to the right and translated vertically 3 units upwards, what is its new
equation?
Answer:
y=[tex](x-10)^{2}[/tex]+3
Step-by-step explanation
in order to shift the equation to the right you must subtract a positive number from x (ex: -10)
to shift the equation upwards just add the positive number to the end of the equation (ex: +3)
6. If a refrigerator has a mass of 750 kg and a volume of 600 mL, what is it's density?
Answer:
[tex] \sf \rho \: = 1.25[/tex]
Step-by-step explanation:
Density, is the substance's mass per unit of volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume:
[tex]{\displaystyle \rho ={\frac {m}{V}}} [/tex]
where ρ is the density, m is the mass, and V is the volume.
[tex] \sf \rho = \frac{750}{600} [/tex]
[tex] \sf \rho \: = 1.25[/tex]
Therefore, density is equal to 1.25
Sketch the graph of each line 2x+y=2
Answer:
Step-by-step explanation:
mark at y2 and 2x
Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. The oil change for one car required 5 quarts of oil and cost $21.90. The oil change for the other car required 7 quarts of oil and cost $25.40. How much is the labor fee and how much is each quart of oil?
Answer:
Step-by-step explanation:
Let x = the fee and let y = the cost per quart of oil
x + 5y = 22.45
x + 7y = 25.45 Multiply this equation by (-1) and add it to the 1st equation
-x -7y = -25.45
x + 5y = 22.45
-2y = -3
y = $1.50 /quart
x + 5(1.50) = 22.45
x + 7.50 = 22.45
x = $14.95 is the basic fee
PLEASE HELP THIS IS DUE AT 11:00
If K is the midpoint of JL, JK = 9x - 1 and KL = 2x + 27, find JL
Answer:
JL = 70
Step-by-step explanation:
-12 divided by (-2/3)
The shaded fiqure is a thombus,
The area of the shaded section is 60 square units, What
is the value of x?
4 units
6 units
8 units
9 units
Graph the point that has the coordinates
Answer/Step-by-step explanation:
From the middle go left, stop between -4 and -5, then go up and stop between 2 and 3,
who made the song welcome to the party
bonus question: what is 1+1
if you answer both correctly i will give you brainlest
Answer:
Diplo, Lil Pump, French Montana
2
Step-by-step explanation:
( among us ) how many maps, most common name, best imp count 1,2,or3, best colors (top 3) you don't have all to much time so try to make it snappy
Answer:
2 maps, name noah, imp 2, color white, orange and yellow
Step-by-step explanation:
kenson and shelly are each saving money
Answer:
for what reason? lol
Step-by-step explanation:
The base of a 15 foot ladder is 6 feet from a building, if the ladder reaches the flat roof, How tall is the building?
Answer:
13.7 feet
Step-by-step explanation:
The ladder and the building will form a right triangle with the ladder's length is hypotenuse
so if a is the height of the building
c^2 = a^2 + b^2
(15)^2 = a^2 + (6)^2
225 = a^2 + 36
a^2 = 225 - 36 = 189
a = √(189 = 13.7
NEED HELP ASAP!
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(7x-8)
59°
73°
Answer: 8
Step-by-step explanation: Add up the angles that do not include x.
Subtract 180 by 132, which equals 48.
7x-8=48
Remove -8 by adding 8 to 48.
7x=56
Divivde 7x by 7 on both sides
x=8
Dawn bought 3 video games and 9 DVDs for $75. Jerry bought
5 video games and 10 DVDs for $25 more than Dawn. How
much did each DVD cost?
Answer:
$5
Step-by-step explanation:
We can solve this using a system of linear equations. The equations are written like this:
3v + 9d = 75
5v + 10d = 100 (25 more than Dawn's total is 100)
V represents video games and d represents DVDs.
Let's isolate a variable, I'm going to isolate v in the first equation:
3v = -9d + 75
v = -3d + 25
Now that we isolated v we can plug it in to the second equation:
5(-3d + 25) + 10d = 100
-15d + 125 + 10d = 100
-5d + 125 = 100
-5d = -25
d = 5
Therefore, each DVD cost $5.
Check:
3v + 9(5) = 75
3v + 45 = 75
3v = 30
v = 10
5(10) + 10(5) = 100
50 + 50 = 100
100 = 100
I hope this helps!!
- Kay :)
Who's excited for Christmas?!?! :D
if not why?
Answer:
me
Step-by-step explanation:
The mass of a bag of potatoes is 860 kg round to the nearest 10kg. i) Give the upper and lower bounds for the mass.
Answer:
Lower bound ⇒ 855 kgUpper bound ⇒ 865 kgStep-by-step explanation:
The upper bound is the highest number that a figure can be to be rounded off to the rounded figure.
The lower bound is the lowest number that a figure can be to be rounded odd to the rounded figure.
The lower bound of 860 to the nearest 10 is;
= 855 kg
855 is the lowest figure that can be rounded up to 860.
The Upper bound is;
= 865
865 is the highest figure because no figure above this can be rounded to 860.
855 kg ≤ 860 kg < 865 kg