Answer:
(6x² +4x -20)/(x² +x -3) cm
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of its length and width. Here, length and width are rational functions. The same relation to perimeter applies.
__
[tex]P = 2(L+W)\\\\P=2\left(\dfrac{2x^2 +3x-5}{x^2+x-3}+\dfrac{x^2-x-5}{x^2+x-3}\right)\qquad\text{use given values for $L$ and $W$}\\\\P=2\left(\dfrac{2x^2+3x-5+x^2-x-5}{x^2+x-3}\right)=\dfrac{2(3x^2 +2x-10)}{x^2+x-3}\\\\P=\dfrac{6x^2+4x-20}{x^2+x-3}\\\\\underline{\ \qquad}\\\\\textsf{It would take $\dfrac{6x^2+4x-20}{x^2+x-3}$ cm of ribbon to go around the package.}[/tex]
Evaluate the expression when a=4, b=2, and c=5. 3ab - c
Answer:
19
Step-by-step explanation:
3(4)(2) - 5
3 * 4 = 12 * 2 = 24
24 - 5 = 19
A jar contains nine blue marbles, eight yellow marbles, 11 black marbles, and 12 red marbles.
Without looking, what is the probability of pulling a white marble from the jar?
The probability of pulling a white marble from the jar is 0.
What is the probability?
Probability determines the odds that an event would happen. The odds usually lie between 0 and 1.
The probability of pulling a white marble = total number of white marbles / total number of marbles
0 / 40 = 0
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What is the area of the pentagon, rounded to the nearest tenth?
13.8 cm2
17.3 cm2
32.7 cm2
69.0 cm2
The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.
Then the side length of the pentagon will be
5 x Side length = 21.8 cm
Side length = 4.36 cm
Then the area of the pentagon, rounded to the nearest tenth will be
Area of pentagon = 5 x area of triangle
Area of pentagon = 5 x 1/2 x 4.36 x 3
Area of pentagon = 32.7 square cm
Thus, the correct option is C.
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Graph the parabola.
y=(x+1)^2-3
Answer:
tap on the picture to see.Step-by-step explanation:
that should help
Answer:
I like to use Desmos when I graph parabolas. But I’m this case it would be 3 down and one to the left so the vertex should be (-1,-3) and then just graph x^2
Step-by-step explanation:
Hope this helps! ;-)
Write a quadratic function f whose zeros are 2 and 5.
Answer:
[tex] {x}^{2} - 7x + 10 = 0[/tex]
Step-by-step explanation:
[tex](x -2)(x - 5) = 0[/tex]
[tex] {x}^{2} - 7x + 10 = 0[/tex]
NEED HELP QUICKLY
(please include your work)
19. Solve for the angle x.
sin²(2x) = 1
A. 45° + 360°n, 135° + 360°n
B. 45° + 360°n, 135° + 360°n, 225° +
360°n
C. 225° +360°n
D. no solution
E. 45° +360°n, 135° + 360°n, 225° +
360°n, 315° +360°n
F. 45° + 360°n, 225° + 360°n
( A is incorrect)
Answer:
Choice E.
Step-by-step explanation:
sin^2 2x = 1
sin 2x = ± 1
So 2x = 90, 270 , 450, 630 etc
x = 45, 135, 225, 315 etc
= 45 + 360n, 135 + 360n, 225 + 360n, 315 + 360n
5. Mickey bought pizza and sodas for himself and four of his friends. The pizza was $17.49,
and 5 sodas were $1.19 each.
If the pizza is sliced into 10 equal slices and each person eats 2 slices and drinks one
soda, what is the cost to each person?
$2.94
® $4.13
$3.50
$4.69
Answer:
D. is the correct option
Step-by-step explanation:
There is a total of 5 people, so we can either split the pizza cost into 5, or into 10 and multiply by 2 (since each guest ate 2 slices) We'll do the first option since it's simpler.
$17.49 ÷ 5 = 3.489 or rounded up to $3.50
Next, we'll add $1.19 to $3.59 which equals $4.69
Hope this helps!
a) If a regular octagon and regular hexagon both have the same side lengths, which will have the greater area?
Answer:
Octagon
Step-by-step explanation:
Formula for a polygon is :
A = 1/2 x a x Pa = apothem (distance from center to the midpoint of a sideP = perimeter (sum length of the sides)Since a regular octagon has 8 sides, and a regular hexagon has 6, the octagon will have the greater area due to greater perimeter.
NEED HELP PLEASE ANSWER ASAP! (43)
Answer:
43. (2) $2.00
Step-by-step explanation:
Question 43
Let cheese pizza be c and mushroom pizza be m3c + 4m = 12.503c + 2m = 8.50Subtract Equation 2 from Equation 1.
3c + 4m - 3c - 2m = 12.50 - 8.502m = 4.00m = $2.00(2) $2.00Answer:
(2) $2.00
Step-by-step explanation:
Jack's order
3 slices of cheese pizza and 4 slices of mushroom pizza = $12.50
Grace's order
3 slices of cheese pizza and 2 slices of mushroom pizza = $8.50
The difference between the two orders is 2 slices of mushroom pizza.
The difference between the cost of the two orders is:
$12.50 - $8.50 = $4.00
Therefore, 2 slices of mushroom pizza costs $4.00
So the cost of 1 slice of mushroom pizza is:
$4.00 ÷ 2 = $2.00
3M+4/3=28/3-M.find the m
Answer:
M = 2
Step-by-step explanation:
3M+4/3 = 28/3 -M
3M+M +4/3-28/3 = 0
4M -8 = 0
4M = 8 ( divide 4 in both sides)
M=8/4
M=2
ANSWER QUICK PLSS NOT MUCH TIME LEFT
A circle P is circumscribed about a regular hexagon ABCDEF
Select one:
a. exterior
b. inscribed
c. interior
d. central
Answer:
the answer willl be D
Step-by-step explanation:
Which expression represents the sixth term in the binomial expansion of (5y 3)10?
The expression in the 6th term in the binomial expression is [tex]265781250y^6[/tex]
How to determine the expression in the sixth term?The expression is given as:
(5y + 3)^10
The above expression is a binomial expression, and the xth term can be represented using:
[tex]^nC_x (a)^x * (b)^{n-x}[/tex]
So, we have:
[tex]^{10}C_6 * (5y)^6 * (3)^4[/tex]
Evaluate the combination expression
[tex]210 * (5y)^6 * (3)^4[/tex]
Evaluate the exponents
[tex]210 * 15625y^6 * 81[/tex]
Evaluate the product
[tex]265781250y^6[/tex]
Hence, the expression in the 6th term is [tex]265781250y^6[/tex]
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Given h(x) = −3 |x + 1| evaluate h (-3)
Need help this is for final’s study’s
Answer:
-6
Step-by-step explanation:
h(x) = −3 |x + 1| evaluate h (-3)
h (-3) means x = -3
Plug in:
h(x) = −3 |(-3) + 1| → h(x) = −3 |-3 + 1|
h(x) = −3 |-2| since -2 is an absolute value it becomes 2
h(x) = −3(2)
h(x) = -6
Let me know if you have anymore questions,
Good Luck studying :) YOU GOT THIS !!!
Jane spent $27 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit.
Answer:
45%
Step-by-step explanation:
Divide 27/60, which gives you 0.45. Multiply that by 100, you get 45 percent.
Answer:
45%
Step-by-step explanation:
27/60
A, B and C lie on a straight line.
Given that angle y = 144° and angle z =
92°, work out x.
A
x
Z
The diagram is not drawn accurately.
B
C
Simplify (sinx + cosx) ^2/ sin2x
[tex]\csc 2x+1[/tex]
Step-by-step explanation:
[tex]\frac{(\sin x+\cos x)^2}{\sin2x}[/tex]We expand [tex](\sin x+\cos x)^2[/tex] using algebraic identity [tex](a+b)^2=a^2+b^2+2ab[/tex][tex]=\frac{\sin^2x+\cos^2x+2\sin x.\cos x}{\sin2x}[/tex][tex]= \frac{1+\sin2x}{\sin2x}[/tex][tex]=\frac{1}{\sin2x}+\frac{\sin2x}{\sin2x}[/tex][tex]=\csc 2x+1[/tex]Not everyone understands this but if you can help please do mi amor
Answers:
scaleneisoscelesscalene=======================================================
Part (a)
Let's find the distance from point D to point E.
In other words, this will compute the length of segment DE.
[tex]D = (x_1,y_1) = (0,-6) \text{ and } E = (x_2, y_2) = (3,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-3)^2 + (-6-1)^2}\\\\d = \sqrt{(-3)^2 + (-7)^2}\\\\d = \sqrt{9 + 49}\\\\d = \sqrt{58}\\\\d \approx 7.6158\\\\[/tex]
Segment DE is roughly 7.6158 units long.
Let's repeat these steps to find the length of segment EF.
[tex]E = (x_1,y_1) = (3,1) \text{ and } F = (x_2, y_2) = (-2,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-2))^2 + (1-1)^2}\\\\d = \sqrt{(3+2)^2 + (1-1)^2}\\\\d = \sqrt{(5)^2 + (0)^2}\\\\d = \sqrt{25 + 0}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
Segment EF is exactly 5 units long.
Lastly, we'll compute the length of segment FD.
[tex](x_1,y_1) = (-2,1) \text{ and } (x_2, y_2) = (0,-6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-0)^2 + (1-(-6))^2}\\\\d = \sqrt{(-2-0)^2 + (1+6)^2}\\\\d = \sqrt{(-2)^2 + (7)^2}\\\\d = \sqrt{4 + 49}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\[/tex]
Segment FD is about 7.2801 units long.
This is close to the length of DE, but not quite.
To recap, we found these segment lengths:
DE = 7.6158 (approximate)EF = 5 (exact)FD = 7.2801 (approximate)As you can see, all three sides are different lengths. Therefore, triangle DEF is scalene.
----------------------------------
For part (b), follow the same template as part (a).
I'll be skipping the steps.
This is what you should get for the lengths of triangle TRI
segment TR = 6.0828 (approximate)segment RI = 2 (exact)segment IT = 6.0828 (approximate)Segments TR and IT are the same length (both exactly [tex]\sqrt{37}[/tex] units long), which means triangle TRI is isosceles.
-----------------------------------
For part (c), I'll also be skipping steps.
Here are the lengths you should find
JK = 4.1231 (approximate)KL = 8.9443 (approximate)LJ = 10.6301 (approximate)All three lengths are different, making this triangle scalene.
A and B are vertical angles. If mA = (2x + 1)° and m/B = (x +10)°,
then find the value of x.
Answer:
x = 9Step-by-step explanation:
GivenA and B are vertical anglesm∠A = (2x + 1)m∠B = (x + 10)Find the value of xWe know that vertical angles are congruent.
Use this property to set up equation.
m∠A = m∠BSubstitute the values of angles and solve for x.
2x + 1 = x + 102x - x = 10 - 1x = 9
The value of x is 9
Events a and b are independent. the probability of a occurring is . the probability of b occurring is . what is p(a and b)?
Since events a and b are independent P(a and b) = P(a) × P(b)
To answer the question, we need to know what probability is
What is probability?Probability is the likelihood of an event to occur. The probability of the event P(event) = number of required outcomes/total number of outcomes
Probability of independent eventsIf we have two independent event sa and b that have probabilities of occuring P(a) and P(b) respectively, the probability P(a and b) = P(a) × P(b)
So, P(a and b) = P(a) × P(b)
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A multiple-choice test with 50 questions has five possible
choices for each question. There are 4 marks for each correct
answer, -1 mark for each incorrect answer, and 0 marks for each
unanswered question.
What is the total score of a student with 35 correct answers, 10
incorrect answers and 5 unanswered questions?
Answer:
130
Step-by-step explanation:
[tex](35*4)-(10*1)-(5*0)=130[/tex]
what is the surface area of this solid?
_______ square meters
o 101
o 107
o 116
o 131
Answer:
The surface area of this solid is:
b. 107
Step-by-step explanation:
To understand this answer we need to analyze it. First, we have different geometric figures composing the solid. A pyramid and a rectangular prism. We need to obtain the surface, not the volume so we need to obtain the area of all the figures composing the pyramid and the prism without the hidden part of the pyramid base. We need to obtain the following areas:
2 rectangles with the following measures= W=2 L= 8
1 rectangle with the following measures= W=3 L=8
1 rectangle with the following measures= W=3 L 5
2 rectangles with the following measures= W=2 L=3
4 triangles with the following measures= B=3 H=4
Following the formula for the rectangles W x L we obtain a total area for them of 83 square meters.
Following the formula for the triangles b x h / 2 we obtain the following area: 24 square meters. Then we add both and obtain 107 square meters.
a regular hexagon has 18 sides calculate the size of each interior
Answer:
[tex]160[/tex] °
Step-by-step explanation:
An alternative method is to use the exterior angle.
the sum of the exterior angles is ALWAYS 360 °
So you can find the size of the exterior angles of a regular polygon quite easily:
If there are 18 sides ( n = 18 ) , then each exterior angle is:
[tex]\frac{360}{n} =\frac{360}{18} = 20[/tex]°
The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line.
∴ each interior angle is 180° - 20° = 160°
Find the length of side X in the simplest radical form of the rational denominator
[tex]~~~~~~~\cos 45^{\circ} = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \dfrac 1{\sqrt 2} = \dfrac{\sqrt 3}{x}\\\\\\\implies x = \sqrt 3 \cdot \sqrt 2\\\\\\\implies x = \sqrt {3 \times 2}\\\\\\\implies x = \sqrt 6[/tex]
Isabella has a total of 150 music CD's.She loves rock music and alternative music. The number of alternative music CD's is three more than twice that of the rock music CD's that she owns .
(a). Write down two equations that represent this information.
(b). Draw the two graphs that represent these equations on the same set of axes .
(C). Show where you can read off how many Rock CD's Isabella owns .
The system of equations that we need to solve is:
x + y = 150y = 2x + 3And the solution is x = 49 and y = 101.
How to solve the system of equations?
Let's define the variables:
x = number of CDs of rock music.y = number of CDs of alternative music.We know that the total number of CDs is 150, then:
x + y = 150
And we know that:
y = 2x + 3
Then the two equations that represent the information (and conform a system of equations) are:
x + y = 150
y = 2x + 3
b) The graphs of the two equations can be seen below.
c) To find the solution, we just need to see where the graphs intercept.
We can see that the intercept is (49, 101), this means that:
Isabella has 49 rock music CDs and 101 alternative music CDs.
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a shoe company needs to create a shoe box...
Answer:
Step-by-step explanation:
21/7=3
5*3=15 width
3*3=9 height
i need adviceeeee pllllllllllllllllllllllllllllllllllssssssssssssssssssssssssssssssssss
Answer:
140 ounces of Vegetables
Step-by-step explanation:
23 ounces of carrots x 2 = 46 ounces
47 ounces of broccoli x 2 = 94 ounces
46 ounces of carrots + 94 Ounces of Broccoli = 140 Ounces of Vegetables
Answer:
140 oz of vetables
Step-by-step explanation:
23 x 2 = 46
47 x 2 = 94
46 + 94 = 140
Can one of u guys help me I need help asap
Answer:
See below ~
Step-by-step explanation:
The three inequalities (listed below) have been plotted on a graph :
y ≤ 8y ≥ -3x + 4y > 2x - 4please help me with these questions
Answer:
Here is the ans ..hope it helps
Se puede pasar 11/20 a fraccion mixta?
The fraction 11/20 can not be converted to a mixed fraction since it belongs to the proper fraction, I mean that the numerator is less than the denominator.
Only improper fractions can be mixed.
Example :[tex]\: \: \: \: \: \: \: \: \qquad\bold{\Rightarrow \dfrac{20}{11}= 1\dfrac{9}{11} }[/tex]
So no the fraction 11/20 cannot be a mixed fraction.
Answer:
Solve the set of two reals for the following exponential equation:
\Large\text{${\dfrac{27^x\:-\:3^x}{9^x\:-\:3^x} = 82}$}
Mina had a disco for her birthday. For every 2 boys at the disco, there were 3 girls. There were 35 children at the disco in total. How many boys were at the disco?
There were 14 boys at Mina's disco for her birthday.
What is a ratio?A ratio is a quantitative value that shows the number of times a certain value is in another value.
The number of boys at the disco can be calculated as shown below:It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.
Let the proportionality constant be x.
Therefore total boys and girls are 2x and 3x respectively.
There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:
2x + 3x = 35
⇒ x = 35/5
⇒ x = 7
Total number of boys = 2x
= 2 * 7
= 14 boys
Therefore the total number of boys at the disco is 14.
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