Answer:
The probability is 0.0015
Step-by-step explanation:
We know that the average [tex]\mu[/tex] is:
[tex]\mu=500[/tex]
The standard deviation [tex]\sigma[/tex] is:
[tex]\sigma=100[/tex]
The Z-score is:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
We seek to find
[tex]P(x>800)[/tex]
The Z-score is:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{800-500}{100}[/tex]
[tex]Z=3[/tex]
The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
[tex]P(x>800)=0.0015[/tex]
A small business sells dog harness and leashes. The harnesses sell for $7.50, and the leashes sell for $3.25. Last month, the business sold 56 items made $267
Answer:
20 harnesses
36 leashes
Step-by-step explanation:
h = number of harnesses
l = number of leashes
set up two equations based on the information provided:
h + l = 56; since the number of harnesses and leashes made up the total item sold, which is 56
7.5h + 3.25l = 267; the same concept as the last step
h = 56 - l; let one of the variable stand by itself
7.5(56 - l) + 3.25l = 267; substitute the variable h into the other equation
420 - 7.5l + 3.25l = 267; solve
420 - 4.25l = 267; add common variables, remember you take the sign in front of the number when doing math
-4.25l = -153; subtract 420 from both side
l = 36; divide both side by -4.25
36 leashes were sold last month; 56 - 36 = 20, which means 20 harnesses were sold.
Nicole wants to buy a pair of jeans. The original cost of the jeans is $42.50 and he markup is 10 percent. How much will she have to pay for the jeans ?
Answer:
She'll have to pay $46.75
Step-by-step explanation:
42.50 divided by 10% is 425 which equals $4.25. 42.50 + 4.25 = 46.75
42.50 + 10% = 46.75. So therefore you can check your answer twice and it will be the same answer.
Which of the following is the square of a binomial?
[tex]A)c^2-2cd-d^2\\\\B)a^2+b^2\\\\C)4m^2-6mn+9n^2\\ \\D)16x^2+24xy+9y^2[/tex]
ANSWER
D.
[tex]16 {x}^{2} + 24xy + 9 {y}^{2} [/tex]
EXPLANATION
We want to find the expression which is a square of a binomial.
In other words, we want to identify the expression which is a perfect square trinomial.
[tex]16 {x}^{2} + 24xy + 9 {y}^{2} [/tex]
This expression can be rewritten as,
[tex] {(4x)}^{2} + 2(4 \times 3)xy + {(3y)}^{2} [/tex]
This is a perfect square trinomial that can be factored as:
[tex] {(4x)}^{2} + 2(4 \times 3)xy + {(3y)}^{2} = (4x + 3y) ^{2} [/tex]
This is the square of a binomial.
The correct answer is D
The answer is:
D) [tex]16x^{2} +24xy+9y^{2}[/tex]
Why?We are looking for an expression that satisfies the perfect square trinomial form, which can be defined by the following notable product:
[tex](a+b)^{2}=a^{2}+2ab+b^{2}[/tex]
From the given options, we can see that the only option that matches with the perfect square trinomial form is:
[tex]16x^{2} +24xy+9y^{2}[/tex]
We can rewrite the expression by the following way:
[tex](4x+3y)^{2}[/tex]
If we square the binomial, we will have the perfect square binomial expression given from the options.
So, squaring, we have:
[tex](4x+3y)^{2}=(4x)^{2}+2*(4x*3y)+(3y)^{2}\\\\(4x+3y)^{2}=16x^{2} +24xy+9y^{2}[/tex]
Hence, the answer is:
D) [tex]16x^{2} +24xy+9y^{2}[/tex]
Have a nice day!
Help plzz grades at my school are do this weekend
Answer:i will help!!
Step-by-step explanation:
assume that the lines that appear to be tangent are tangent p is the center if each circle find x.
Answer:
Step-by-step explanation:
Problem One
All quadrilaterals have angles that add up to 360 degrees.
Tangents touch the circle in such a way that the radius and the tangent form a right angle at the point of contact.
Solution
x + 115 + 90 + 90 = 360
x + 295 = 360
x + 295 - 295 = 360 - 295
x = 65
Problem Two
From the previous problem, you know that where the 6 and 8 meet is a right angle.
Therefore you can use a^2 + b^2 = c^2
a = 6
b =8
c = ?
6^2 + 8^2 = c^2
c^2 = 36 + 64
c^2 = 100
sqrt(c^2) = sqrt(100)
c = 10
x = 10
Problem 3
No guarantees on this one. I'm not sure how the diagram is set up. I take the 4 to be the length from the bottom of the line marked 10 to the intersect point of the tangent with the circle.
That means that the measurement left is 10 - 4 = 6
x and 6 are both tangents from the upper point of the line marked 10.
Therefore x = 6
Which of the following is the measure of angle RCP?
Answer:
From the information provided we have:
PD ≅ RD (= 11)
∠CPD ≅ ∠CRD (= 90°)
They both have CD as the hypotenuse.
=> ΔCPD ≅ ΔCRD
=> ∠PCD ≅ ∠RCD
Now we know that:
∠RCP = ∠PCD + ∠RCD
∠RCP = 2 · ∠RCD
∠RCP = 2 · 33° = 66°
So the answer is B
Answer: B. 66°
Step-by-step explanation:
In then figure figure , we consider two triangle ΔPCD and Δ RCD in which
∠P ≅ ∠R = 90°
PD≅RD =11
CD≅CD [Reflexive Property]
Hence, By HL theorem we have
ΔPCD ≅ Δ RCD
[ HL theorem says that if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of other right triangle, then the triangles are said to be congruent.]
Now , By CPCTC we have
∠PCD≅∠RCD
Then , ∠RCP = 33°+33°=66°
What’s the definition of net
Answer:
it is the surface of the 3d shape spread out like an blue print
Step-by-step explanation:
Answer:
A pattern which you can cut and fold to make a model of a solid shape.
18/40 =
simplify to the lowest term
18/40 = 9/20 =
Simplified
Answer:
9/20 is the simplified 18/40
Simplify (x^3/8)^3/4
For this case we must simplify the following expression:
[tex](x ^ {\frac {3} {8}}) ^ {\frac {3} {4}}[/tex]
By definition of power properties we have to:
[tex](a ^ m) ^ n = a ^ {m * n}[/tex]
So, rewriting the expression we have:
[tex](x ^ {\frac {3} {8}}) ^ {\frac {3} {4}} = x ^ {\frac {9} {32}}[/tex]
ANswer:
[tex]x ^ {\frac {9} {32}}[/tex]
The simplified value of the expression [tex]\((\frac{x^3}{8})^\frac{3}{4}\)[/tex] is [tex]\(\frac{x^\frac{9}{4}}{2^\frac{9}{4}}\).[/tex]
To simplify the expression [tex]\((\frac{x^3}{8})^\frac{3}{4}\)[/tex] using the laws of exponents,
combine the exponents and simplify the fraction.
So, [tex]\((\frac{x^3}{8})^\frac{3}{4}\)[/tex] can be written as [tex]\(\frac{x^{3 \cdot \frac{3}{4}}}{8^\frac{3}{4}}\)[/tex].
Next, simplify the exponents:
[tex]\(3 \cdot \frac{3}{4} = \frac{9}{4}\).[/tex]
So, the expression [tex]\(\frac{x^{3 \cdot \frac{3}{4}}}{8^\frac{3}{4}}\)[/tex]can be written as [tex]\(\frac{x^\frac{9}{4}}{8^\frac{3}{4}}\)[/tex].
To further simplify, express 8 as [tex]\(2^3\)[/tex]:
So, [tex]\(\dfrac{x^\dfrac{9}{4}}{8^\dfrac{3}{4}} = \dfrac{x^\dfrac{9}{4}}{(2^3)^\dfrac{3}{4}}\).[/tex]
Now, applying the property [tex]\((a^m)^n = a^{m \cdot n}\)[/tex]:
[tex]\(\dfrac{x^\dfrac{9}{4}}{(2^3)^\dfrac{3}{4}} = \dfrac{x^\dfrac{9}{4}}{2^{3 \cdot \frac{3}{4}}}\).[/tex]
Simplifying the exponent [tex]\(3 \cdot \frac{3}{4} = \frac{9}{4}\)[/tex]:
[tex]\(\frac{x^\frac{9}{4}}{2^{3 \cdot \frac{3}{4}}} = \frac{x^\frac{9}{4}}{2^\frac{9}{4}}\).[/tex]
Therefore, the simplified value is [tex]\(\frac{x^\frac{9}{4}}{2^\frac{9}{4}}\).[/tex]
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evalute h^-2 g h=3 g=27
Applying the definition of negative exponents, we have
[tex]3^{-2}\cdot 27 = \dfrac{1}{3^2}\cdot 27 = \dfrac{27}{9} = 3[/tex]
Which statement regarding the dismal ram is true?
your 2nd answer is true. since your measure of the two bottom angles which are angles KML and MLk has to equal the measure of the angle outside the triangle. to the 2nd answer choice is true
a private university is accepting applications for enrollment.Out 2000 applicants 950 meet the GPA requiremnets,600 volunteer for co mmunity service,and 250 both met the GPA requiremnts and volunteer.Which statemnet correctly describes the probbalitiy that an applicant meets the Gpa reqire,ets or volunteers?
Answer:
Because some applicants volunteer and meet the GPA requirements the events are NOT MUTUALLY exclusive. Thus, the probability is 65%
The probability that an applicant meets the GPA requirements or volunteers is 65%.
Explanation:To find the probability that an applicant meets the GPA requirements or volunteers, we need to determine the number of applicants who meet either requirement. From the given information, there are 950 applicants who meet the GPA requirements and 600 applicants who volunteer for community service. However, there are 250 applicants who meet both requirements, so we count them only once.
To find the total number of applicants who meet either requirement, we add the number of applicants who meet the GPA requirements and the number of applicants who volunteer and subtract the number of applicants who meet both requirements:
Total number of applicants who meet either requirement = 950 + 600 - 250 = 1300
The probability that an applicant meets the GPA requirements or volunteers is the number of applicants who meet either requirement divided by the total number of applicants:
Probability = Number of applicants who meet either requirement / Total number of applicants = 1300 / 2000 = 0.65 = 65%
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6.3÷0.7=
I need to show work to
Answer:
9
Step-by-step explanation:
Just remove the DECIMALS
Therefore you get 63/7 which is obviously 9.
Answer:
9
Step-by-step explanation:
Long division (in diagram)
Raul used the model to calculate 3×7.2. Which is equivalent to 3×7.2? I don't understand what it is asking me to do
The equivalent of the given expression 3 × 7.2 will be 21.6.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The result of 3 times 7.2 can be found by simply multiplying 3 and 7.2 together:
3 × 7.2 = 21.6
Therefore, the equivalent of 3 times 7.2 is 21.6.
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To determine what is equivalent to 3×7.2, simply multiply 3 by 7.2 to get 21.6.
Raul used the model to calculate 3×7.2. To find what is equivalent to 3×7.2, we can multiply the two numbers directly. Multiplying 3 by 7.2 gives us 21.6, so 3×7.2 is equivalent to 21.6.
The question seems to be asking for a calculation based on a model, but without the specifics of the model, the best we can do is a straightforward multiplication. Remember, when multiplying by a whole number and a decimal, you multiply as if they were both whole numbers and then place the decimal in the product based on the number of decimal places in the original numbers.
(08.03)A set of equations is given below:
Equation H: y = −x + 2
Equation J: y = 3x − 4
Which of the following steps can be used to find the solution to the set of equations?
−x = 3x − 4
−x +2 = 3x
−x + 2 = 3x − 4
−x + 1 = 3x + 2
Answer: Third option
[tex]-x + 2 = 3x - 4.[/tex]
Step-by-step explanation:
One of the ways of solving a system of equations is by equating the equations and solving for one of the variables.
In this case we have the system:
[tex]y = -x + 2\\\\y = 3x - 4[/tex]
Note that if [tex]y[/tex] is equal [tex]-x + 2[/tex] and also [tex]y[/tex] equals [tex]3x - 4[/tex]
Then logically [tex]-x + 2[/tex] must be equal to [tex]3x - 4[/tex].
We write equality.
[tex]-x + 2 = 3x - 4.[/tex]
Then the correct answer is the third option.
We can also solve for the variable x
[tex]-4x = -6\\\\4x = 6\\\\x = \frac{6}{4}\\\\x = \frac{3}{2}[/tex]
How many centimeters are there in 500 millimeters?
10 mm = 1 cm.
Divide total mm by 10 to get total cm's.
500/10 = 50 centimeters.
500/10 = 50
The answer here is 50 cm
Which of the following are one-dimensional and have infinite length?
Answer:
Answer is line and ray.
Step-by-step explanation:
Ray - A ray starts from a point and ends to the infinity.
Therefore, ray is one dimensional and has infinite length.
Point - It is one dimensional but has no length.
Plane - It may be three/two dimensional.
Segment - It is one dimensional but has a limited length.
Line - It's one dimensional with infinite length.
Angle - It's two dimensional structure.
Answer is line and ray.
One-dimensional objects with infinite length are infinite straight wires. An example is a transmission line used for electricity distribution.
Explanation:The one-dimensional objects that have infinite length are infinite straight wires. An infinite straight wire is a wire that has a length much greater than its other dimensions. In the limit L→ ∞, the field of an infinite straight wire is obtained.
An example of a one-dimensional object with infinite length is the transmission line used for electricity distribution. These lines can stretch for many kilometers and are considered one-dimensional because their length is much greater than their width and height.
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In circle O, radius OQ measures 9 inches and arc PQ measures 6 pie inches. What is the measure, in radians, of central angle POQ? edge
The circle has circumference [tex]18\pi\,\mathrm{in}[/tex]. If [tex]m\angle POQ=\theta[/tex], then
[tex]\dfrac{6\pi\,\rm in}{18\pi\,\rm in}=\dfrac\theta{2\pi\,\rm rad}\implies\theta=\dfrac{2\pi}3\,\mathrm{rad}[/tex]
Answer: [tex]\dfrac{2\pi}{3}\text{ radians}[/tex]
Step-by-step explanation:
We know that the formula to calculate the length of arc having central angle 'x' is given by :-
[tex]l=x r[/tex], where r is radius of the circle.
Given : In circle O, radius OQ = [tex]l=9\text{ inches}[/tex]
The measure of arc PQ =[tex]6\pi\text{ inches.}[/tex]
The measure of central angle POQ ( in radians ) is given by :-
[tex]x=\dfrac{l}{r}\\\\\Rightarrow\ x=\dfrac{6\pi}{9}}\\\\\Rightarrow\ x=\dfrac{2\pi}{3}[/tex]
Hence, the measure of central angle POQ =[tex]\dfrac{2\pi}{3}\text{ radians}[/tex]
A cone has a diameter of 6 inches and a height of 6 inches. Find the volume of the cone to the nearest tenth. Use 3.14 for pie
Final answer:
The volume of a cone with a diameter of 6 inches and a height of 6 inches is approximately 56.5 cubic inches when rounded to the nearest tenth, using the volume formula for a cone.
Explanation:
To calculate the volume of a cone, we can use the formula
V = [tex]\(\frac{1}{3}\)\pi r^2 h[/tex]
First, find the radius (r) by dividing the diameter by 2.
The cone's diameter is 6 inches, thus the radius[tex]\(r = \frac{6}{2} = 3\) inches.[/tex]
Next, apply the values to the cone volume formula:
V =[tex]\(\frac{1}{3}\)\pi (3)^2 \times 6\)[/tex]
Now perform the calculations
V = [tex]\(\frac{1}{3}\)\times 3.14 \times 9 \times 6[/tex]
V = 56.52 cubic inches
Therefore, the volume of the cone is approximately 56.5 cubic inches to the nearest tenth.
a card is drawn from a standard deck of 52 cards. find the probability. P( a face card or 3)
Answer: 4/13 or 0.308
Step-by-step explanation: Let event A be selecting a face card and event B be selecting a 3. A has 12 outcomes and B has 4 outcomes. Because A & B are disjoint events the probability is:
P( A or B)= P(A) + P(B)= 12/52 + 4/52 = 16/52 simplified to 4/13
Need Help PLZ!!!!!!!!!
Answer:
t = 0.93 years
Step-by-step explanation:
Simple interest: I = prt
Given:
Interest(I)= $900, Investment(p) = $21,000, Rate(r) = 4.6% = 0.046
900 = 21000 × 0.046 × t
900 = 966 × t
[tex]\frac{900}{966}[/tex] = t
t = 0.93 years
The length of a rectangle is 3 inches longer than its width. If the perimeter of the rectangle is 62 inches , find its length and width
Answer:
Length = 17 inches, Width = 14 inches
Step-by-step explanation:
Let the width(W) of the rectangle be x inches
The length(L) of the rectangle will be x + 3 inches
Perimeter(P) of the rectangle is 62 inches
i.e
P = 2L + 2W
2(x + 3) + 2x = 62
2x + 6 + 2x = 62
4x = 62 - 6 = 56
x = [tex]\frac{56}{4}[/tex] = 14 inches
So the width is 14 inches and;
The length is 14 + 3 = 17 inches
The width of the rectangle is 14 inches, and the length is 17 inches.
Explanation:To find the length and width of a rectangle, we can use the information given in the problem and set up an equation. Let's say the width of the rectangle is x inches. The length would then be x + 3 inches. The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Plugging in the given values for the perimeter, we get:
62 = 2(x + 3) + 2x
Simplifying the equation:
62 = 2x + 6 + 2x
Combine like terms:
62 = 4x + 6
Subtract 6 from both sides:
56 = 4x
Divide both sides by 4:
x = 14
So the width of the rectangle is 14 inches. Substituting this value back into the equation for the length, we get:
Length = 14 + 3 = 17 inches
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What is the probability of a face card given that the card is black?
Answer:
P(face | Black) = 3/13
Step-by-step explanation:
total number of cards in standard deck of cards = 52
Total number of face cards = 12
Then P(face cards) = 12/52
Total number of black cards = 26
Then P(black cards) = 26/52
Total number of cards that are both black and face cards = 6
Then P(black and face cards) = 6/52
Then conditional probability of getting face card given that the card is black is given by:
P(face | Black) = P( face & Black) / P(Black)
P(face | Black) = (6/52) / (26/52)
P(face | Black) = 6/26
P(face | Black) = 3/13
Answer:
The probability of a face card given that the card is black = 3/26
Step-by-step explanation:
Points to remember
There are total 52 cards. It is divided into 4 suites, 13 each.
Spades, Clubs, Hearts and Diamonds
Spades and Clubs are black.
Hearts and Diamonds are red
In each suites there are 3 face cards.
To find the probability
There are total 52 cards. And 6 black face cards
The probability of a face card given that the card is black =6/52
= 3/26
Prism A is similar to Prism B. The ratio of the surface area of Prism A to Prism B is 81:4. Find the volume ratio of Prism A to Prism B.
Answer:
The volume ratio of Prism A to Prism B is [tex]\frac{729}{8}[/tex]
Step-by-step explanation:
Step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z-----> scale factor
x/y----> ratio of the surface area of Prism A to Prism B
so
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]\frac{x}{y}=\frac{81}{4}[/tex]
substitute
[tex]z^{2}=\frac{81}{4}[/tex]
[tex]z=\frac{9}{2}[/tex]
step 3
Find the volume ratio of Prism A to Prism B.
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> scale factor
x/y----> volume ratio of Prism A to Prism B
so
[tex]z^{3}=\frac{x}{y}[/tex]
we have
[tex]z=\frac{9}{2}[/tex]
substitute
[tex](\frac{9}{2})^{3}=\frac{x}{y}[/tex]
[tex](\frac{729}{8})=\frac{x}{y}[/tex]
The volume ratio of two similar prisms with a surface area ratio of 81:4 is obtained by cubing the square root of the surface area ratio, resulting in a volume ratio of 729:8.
Explanation:The question involves finding the volume ratio of two similar prisms when the surface area ratio is given.
Since the surface areas are in a ratio of 81:4, the corresponding linear dimensions will be in the square root ratio, which is 9:2. For two similar three-dimensional shapes, if the ratio of their corresponding lengths is a:b, then the ratio of their surface areas is a^2:b^2, and the ratio of their volumes is a^3:b^3.
Therefore, the volume ratio of Prism A to Prism B can be found by cubing the linear dimension ratio: (9:2)^3 which equals 729:8. Hence, the volume ratio of Prism A to Prism B is 729:8.
Arrange the following measurements in order from smallest to largest.
10.6 gallons
5 gallons
24 quarts
5 gallons, 24 quarts (6 gallons), 10.6 gallons
To arrange 5 gallons, 10.6 gallons, and 24 quarts from smallest to largest, first convert all measurements into the same unit (quarts). The arrangement from smallest to largest is 5 gallons, 24 quarts, and 10.6 gallons.
To arrange the given measurements of 10.6 gallons, 5 gallons, and 24 quarts from smallest to largest, we first need to convert them into the same unit for an accurate comparison. Given the conversion factor of 1 gallon equals 4 quarts, we can start the comparison process.
5 gallons = 5 × 4 quarts = 20 quarts10.6 gallons = 10.6 × 4 quarts = 42.4 quarts24 quarts remains unchanged as it's already in quartsIn quarts, the order from smallest to largest is as follows: 20 quarts (5 gallons), 24 quarts, and 42.4 quarts (10.6 gallons). Therefore, when we arrange the original units from smallest to largest, it will be 5 gallons, 24 quarts, and then 10.6 gallons.
In the given right triangle, find the missing length.
42 m
41 m
40 m
43 m
You must use Pythagorean theorem:
a^2 + b^2 = c^2
You are given the two legs (40 and 9) which you will plug into a and b. That means that you have to find c, the hypotheses
40^2 + 9^2 = c^2
1600 + 81 = c^2
1681 = c^2
To get rid of the squared on the c, square root both sides:
41 = c
Hope this helped!
Answer: The missing length is 41m
Step-by-step explanation:
To find the missing length c, we simply use the Pythagoras thereon.
The Pythagoras theorem states that: in a right-angle triangle,
opposite² + adjacent² = hypotenuse²
In this case
opposite = 40
adjacent = 9
hypotenuse = c (It is the missing length)
Applying the Pythagoras theorem to this;
opposite² + adjacent² = hypotenuse²
40² + 9² = c²
We will now go ahead and simplify
40² + 9² = c²
1600 + 81 = c²
1681 = c²
To get the value of c, we will simply take the square root of both-side
√ 1681 = √ c²
41 = c
Therefore the missing length is 41 m
A rectangle has a perimeter of 10 meters. Choose all the possible dimensions of the rectangle. Make as manny a possible
The possible dimensions of the rectangle are
4 and 1
3 and 2
What is perimeter?Its the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).
We are given that rectangle has a perimeter of 10 meters.
Since we know that the perimeter of the rectangle is twice the sum of the length and width of rectangle.
Thus, perimeter of the rectangle = 2 (L + W)
10 = 2 (L + W)
L +w = 10/2 = 5
Some basic dimensions could be ;
4 and 1
3 and 2
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Divide the polynomial x^3+x^2-2x+3 by (x-1)
Answer:
x² + 2x + (3 / (x − 1))
Step-by-step explanation:
Start by setting up the division:
.........____________
x − 1 | x³ + x² − 2x + 3
Start with the first term, x³. Divided by x, that's x². So:
.........____x²______
x − 1 | x³ + x² − 2x + 3
Multiply x − 1 by x², subtract the result, and drop down the next term:
.........____x²______
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Repeat the process over again. First term is 2x². Divided by x is 2x. So:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Multiply, subtract the result, and drop down the next term:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
.................-(2x² − 2x)
.................---------------
.....................................3
x doesn't divide into 3, so that's the remainder.
Therefore, the answer is:
x² + 2x + (3 / (x − 1))
Central High School has 1,023 students. Approximately 75% of the school’s
students attended the last home football game. Which attendance number is the
most appropriate estimate of the school’s students who attended the last home
football game?
A. 760
B. 767
C. 767.3
D. 767.25
Answer:
Option B. 767
Step-by-step explanation:
we know that
75%=75/100=0.75
To find the school’s students who attended the last home
football game, multiply 0.75 by the total students of Central High School
so
0.75*(1,023)=767.25
Round to the nearest whole number
767.25=767 students
HELP PLEASE !!!! again math
Answer:
Step-by-step explanation:
A(1,4), B(4, -2), C(-1, 2)
In the first transformation, we multiply each x coordinate by -2, and each y coordinate by 1/2.
A(1*-2, 4/2) = A(-2, 2)
B(4*-2, -2/2) = B(-8, -1)
C(-1*-2, 2/2) = C(2, 1)
In the second transformation, we take each new x coordinate and subtract 2, and each new y coordinate and add 3:
A(-2-2, 2+3) = A(-4, 5)
B(-8-2, -1+3) = B(-10, 2)
C(2-2, 1+3) = C(0, 4)