Answer:
36
Step-by-step explanation:
Unit price: 9 / 5 = 1.8
20 box price: 1.8 * 20 = 36
[tex]10 \sqrt{3} - 4 \sqrt{48} - \sqrt{75} [/tex]
10v3-4v48-v75 help pld
The most appropriate choice for surds will be given by-
[tex]-11\sqrt{3}[/tex] is the correct answer.
What are surds?
There are some natural numbers which are not perfect squares. Their square root are not natural numbers. Those numbers are called surds. The most important method for simplification of surds is prime factorization.
[tex]10\sqrt{3} - 4 \sqrt{48}-\sqrt{75}\\10\sqrt{3} - 4\sqrt{2\times2\times 2\times 2\times3}-\sqrt{3\times 5\times5}\\10\sqrt{3} - 4\times 2\times 2\sqrt{3} - 5\sqrt{3}\\10\sqrt{3} - 16\sqrt{3}-5\sqrt{3}\\-6\sqrt{3} - 5\sqrt{3}\\-11\sqrt{3}[/tex]
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Which function matches the graph?
-5
-2
3/
7
A. f(x) =
(x + 3)(x - 5)(x + 7)²(x - 2)²
B. f(x) = (x - 3)²(x + 5)²(x-7)(x + 2)
C. f(x) = (x - 3)(x + 5)(x - 7)²(x + 2)²
D. f(x) = (x - 3)²(x + 5)(x-7)(x + 2)²
E. f(x) = (x + 3)²(x - 5)(x-7)²(x + 2)
Answer: B
Step-by-step explanation:
The root at [tex]x=-5[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x+5)[/tex].
The root at [tex]x=-2[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x+2)^2[/tex].
The root at [tex]x=3[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x-3)[/tex].
The root at [tex]x=7[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x-7)^2[/tex].
Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10. In how many ways can the door prizes be awarded if there are 23 entrants?.
There are 212 520 ways that the door prizes can be awarded if there are 23 entrants
To solve this problem the formula and the permutation procedure we must use is:
nPr = n! / (n-r)!
Where:
nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the numberInformation about the problem:
n = 23 (entrants)r = 4 (prizes )23P4 =?Applying the permutation formula we have:
nPr = n! / (n-r)!
23P4 = 23! / (23-4)!
23P4= 23! / 19!
23P4 = 23*22*21*20*19! / 19!
23P4 = 23*22*21*20
23P4 = 212520
What is permutation?It is the ordered arrangement of members belonging to a set with no repeats.
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The impact of new entrants, new products, channel conflicts, and regulation would all be associated with the external opportunities and threats dimension of a SWOT website design analysis.
In summary, the impact of new entrants, new products, channel conflicts, and regulation are all factors that fall under the external opportunities and threats dimension of a SWOT website design analysis. 1. New entrants: When new companies enter the market offering similar website design services, it can increase competition and potentially affect the market share of existing website design businesses. This is an external threat as it poses challenges and risks to the current players in the industry. 2. New products: The introduction of new and innovative website design products can create opportunities for businesses to attract more customers and gain a competitive edge. This is an external opportunity that can be leveraged to improve market position.
3. Channel conflicts: Channel conflicts refer to conflicts or disputes that arise between different distribution channels. In the context of a SWOT analysis for website design, channel conflicts can impact how products and services are delivered to customers. For example, if a website design company relies heavily on a specific distribution channel and that channel experiences conflicts or disruptions, it can affect the company's ability to reach its target market. This is an external threat that needs to be considered.
4. Regulation: Regulations imposed by governing bodies can have a significant impact on website design businesses. For example, regulations related to data privacy, accessibility, or internet governance can affect how websites are designed and operated. Compliance with regulations is crucial to avoid penalties or legal issues. This is an external threat that businesses need to navigate.
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This is algebra 2 (Parabola Transformation) . I have no clue on how to do this and I’m failing because of this missing assignment. Please help me. Please.
SOLUTION
Step 1 :
We are meant to graph the function,
[tex]\begin{gathered} y=-(x+2)^2\text{ + 7} \\ \text{compared with the parent function,} \\ y=x^2 \end{gathered}[/tex]Step 2 :
The Transformations are Reflection, Vertical Shift and Horizontal Shift.
Step 3 :
The vertex is at ( - 2, 7 ) and it is a maximum.
For Point A (m,n) to fall in the correct quadrant, if the value of m is 6, the 6 would be
, and if the value of n is 3, the 3 would be
6 positive or negative
3 positive or negative
Here's the picture if you are confused I guess
Please helppp as fast as possible 25 POINTS**
FIND THE DOMAIN & RANGE OF THE FUNCTION
g(x)=|x + 4|
Please helppp as fast as possible
The domain and the range of the function g(x) = |x + 4| are oo < x < oo and y >= 4
What is domain?The domain of a function are the set of output values, the function can take
What is range?The range of a function are the set of output values, the function can take
How to determine the domain and the range?The definition of the function is given as
g(x) = |x + 4|
From the definition of the above function, we can see that the function is an absolute value function
This means that the function has a domain of all set of real values
This domain is represented as
Domain: -oo < x < oo
For an absolute function represented as
f(x) = |x + k|
The range is
y >= k
This means that the range of g(x) = |x + 4} is y >= 4
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PLSSSSSS ANSWER SOON!!!!!!!
There is a pic
solve for P
Answer:
48x
Step-by-step explanation:
15+2+7+15+2+7=48 + x = 48x
Hope this helps!
A car that originally valued at $32,000 loses 18% of its value every 3 years. What will be the value of the car after 12 years?
The value of the car after 12 years is $15,229.50
Here, we want to calculate the value of a car that loses a percentage of its origial value after some years
To do this, we shall need an exponential equation that represents decay or depreciation
We can have this as;
[tex]P=I(1-r)^t[/tex]where;
P is the present value that we want to calculate
I represents the original value of the car which is $32,000
r is the percentage of decrease per year
From the question, there is a decrease of 18% every 3 years
The percentage decrease per year will be 18%/3 = 6%
6% is same as 6/100 = 0.06
t represents the time frame we are considering = 12 years
We proceed to input all these values into the equation above
We have it as;
[tex]\begin{gathered} P=32,000(1-0.06)^{12} \\ \\ P=32,000(0.94)^{12} \\ \\ P\text{ = \$15,229.50} \end{gathered}[/tex]ASAP PLEASE HELP *20 POINTS*
1.If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, what transformation occurs from f(x) to h(x)?
A.Shift left 3 units
B.Shift right 3 units
C.Shift up 3 units
D.Shift down 3 units
2. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the vertex affected? Select all that apply.
A.The vertex will not change.
B.The vertex will shift right 3 units.
C.The vertex will shift left 3 units.
D.The vertex will shift up 3 units.
E.The vertex will shift down 3 units.
F.The vertex will not move up or down.
G.The vertex will not move right or left.
3. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the range affected?
A.The range will not change.
B.The range will be all real numbers.
C.The range will change from y ≥ 0 to y ≥ -3.
D.The range will change from x ≥ 0 to x ≥ -3.
if the parent function f(x) = |x| is transformed to h(x) = |x| - 3,
1. The transformation occurs from f(x) to h(x) is D. Shift down 3 units
2. The vertex is affected by:
E. The vertex will shift down 3 unitsG. The vertex will not move right or left3. The range will C. change from y ≥ 0 to y ≥ -3.
What is transformation?This is an ordered movement of image or object as seen in geometry. The instance here the movement is done by the graph f(x) and h(x) as described.
The type of movement described is called translation.
What is the range?The range refers to the output of the graph and is typically the y direction.
The range here changed from the origin which is the initial vertex and included point y ≥ -3
It should be noted that the origin of the graph refers to the point y ≥ 0
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In a quadrilateral, two angles are x°, two angles are (3x+8)°. What is x and the measures of the angles?
Step-by-step explanation:
the sum of all angles in any quadrilateral is 360°.
so,
x + x + 3x + 8 + 3x + 8 = 360
8x + 16 = 360
8x = 344
x = 344/8 = 43°
3x + 8 = 3×43 + 8 = 129 + 8 = 137°
so, the angles are
43°
137°
43°
137°
A tent pole that is 9 feet tall is secured to the ground with a piece of rope that is 15 feet long from the top of the tent pole to the ground. Determine the number of feet from the tent pole to the rope along the ground.
Answer:
12 ft
Step-by-step explanation:
To find the base (b), you would first need to sketch a right triangle using the following:
a = 9
c = 15
Using the Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex], you would change it to [tex]c^{2} -a^{2} =b^{2}[/tex] to fit the question. Next, you would plug in the numbers to the corresponding letter.
[tex]15^{2} -9^{2} =b^{2}[/tex]
[tex]225-81=144^{2}[/tex]
[tex]\sqrt{144} =b[/tex]
[tex]12=b[/tex]
The horizontal distance from the tent pole to the rope along the ground will be equal to 12 feet.
What is the Pythagoras' Theorem?According to the Pythagoras theorem, if a triangle has a straight angle (90 degrees), the hypotenuse's square is equal to the total of its other two sides' squares.
As per the given in the question,
Height of tent pole, p = 9 feet
Height of rope, h = 15 feet
Let the horizontal distance from pole to rope is b.
Use Pythagoras' theorem,
h² = p² + b²
15² = 9² + b²
b² = 225- 81
b = √144
b = 12 feet.
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The lateral surface area of cone A is equal to the lateral surface area of
cylinder B.
A
2h
A. True
B. False
The lateral surface area of cone A is equal to the lateral surface area of
cylinder B. This is true.
How to illustrate the information?Lateral area of cone is given by: πrl
where r is the radius and l is the slant height
Here r=r and l=2h
Hence, lateral area of cone A= π×r×2h = 2πrh
Lateral area of cylinder is given by: 2πrh
where r is the radius and h is the height
Lateral area of cylinder B=2πrh
Clearly, both the lateral areas are equal. Therefore, it's true.
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On one day Fred’s Sports World sold 9 Buffalo Bills jerseys and 3 Miami Dolphin jerseys for a total of $899.40. The next day they sold 12 Bills jerseys and only 2 Dolphins jerseys for a total of $1139.30. How much is the Bills jersey and how much is the Dolphins jersey?
Given:
Let x be the cost of the Buffalo Bills jersey.
Let y be the cost of the Miami Dolphin jersey.
According to the question, we have
9x+3y=899.40.......(1)
12x+2y=1139.30.....(2)
From (1),
[tex]\begin{gathered} 3y=899.40-9x \\ y=299.8-3x\ldots\ldots(3) \end{gathered}[/tex]Substitute equation (3) in equation (2), we get
[tex]\begin{gathered} 12x+2(299.8-3x)=1139.30 \\ 12x+599.6-6x=1139.30 \\ 6x=539.7 \\ x=89.95 \end{gathered}[/tex]Then the value of y is,
[tex]\begin{gathered} y=299.8-3(89.95) \\ y=29.95 \end{gathered}[/tex]Hence, the cost of the Buffalo Bills jersey is $89.95, and the cost of the Miami Dolphin jersey is $29.95.
10) Find DF if LF = 2X - 8 and LD = X - 3
Answer:
DF = 4
Step-by-step explanation:
You want DF when L is the midpoint, LD = x-3 and LF = 2x-8.
Congruent segmentsSegments DL and LF are marked the same, so are congruent. Using the given expressions, we have ...
LF = LD
2x -8 = x -3
x = 5 . . . . . . . . add 8-x to both sides
Then the measures of the segments are ...
LF = 2(5) -8 = 2
LD = 5 -3 = 2
DF = DL +LF = 2 +2 = 4
The length of DF is 4 units.
what is 4.5=m + 2.75
4.5 = m + 2.75
Solving for m:
Subtract 2.75 from both sides:
4.5 - 2.75 = m + 2.75 - 2.75
1.75 = m
m = 1.75
Can someone help me with this?
Answer:
y = 77
Step-by-step explanation:
[tex]\frac{7}{3}[/tex] = [tex]\frac{y}{33}[/tex] ( cross- multiply )
3y = 7 × 33 = 231 ( divide both sides by 3 )
y = 77
The answer to this math question is 77
Trigonometry question
Given the following function, choose the graph with the two possible angles with the domain 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees.
1. sin0 = -2/3
2. sec0 = 2/1
3. tan0 = 4/5
4. csc0 = -3/2
5. cos0 = -3/5
Graph 1 contains the two angles in the domain 0 ≤ θ ≤ 360º that have cosine given by cos(θ) = -3/5.
Where is the cosine of angle negative?The sine and the cosine of an angle are represented in the unit circle, in which:
The x-axis is composed by the cosine of the angle.The y-axis is composed by the sine of the angle.Hence the cosine of the angle is negative when the x-axis is negative, which happens in these following quadrants:
Second quadrant.Third quadrant.The only equation that can be solved in the context of this problem is:
cos(θ) = -3/5.
The solution is composed by two angles, one in the second quadrant and one in the third quadrant, hence Graph 1 shows the correct solution.
The exact angles are found applying the inverse cosine function as follows:
θ = arccos(-3/5) = 126.9º = 233.1º.
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The radius of a circle can be approximated using the expression sqrt(((A)/(3))) where A represents the area . A circular kiddie swimming pool has an area of about 28 square feet . An inflatable full-size circular pool has an area of about 113 square feet , how much greater is the radius of the full-size pool than the radius of kiddie pool? Round to the nearest whole number .
The radius of the full-size pool is 2 times greater than the radius of kiddie pool
How to determine the ratioThe formula for determining the area of a circle is expressed mathematically as;
Area = πr²
Where;
r is the radius of the circleπ has a value of 3.142From the information given, we have that;
Radius = √A/3
Where;
A is the radius of the circle
For the circular kiddie, we have;
Radius = √28/3
Find the ratio
Radius = √9. 3
Find the square root
Radius = 3 feet
For the circular pool
Radius = √ 113/3
Find the ratio
Radius = √37. 66
Find the square root
Radius = 6 feet
We then have;
Radius of the pool/radius of the kiddie pool
6/3
Find the quotient
2
Hence, the value is 2
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I inserted a picture because it was too much to type but please, if you answer try and do it fast. It's homework.
Jaleel and Angela purchased a bag of sugar and used it evenly so the amount of flour that they each need, based on their brownie recipes are:
Angela - 5 cups of flour Jaleel - 6 ²/₃ cups of flourHow to find the amount of flour needed?Jaleel and Angela purchased a 20-cup bag of sugar and divided it evenly which means that they each get 10 cups of sugar.
The number of cups of sugar needed per cup of flour is:
= Change in sugar / Change in flour
= (3 - 1.5) / (2 - 1)
= 1.5 cups of sugar
The amount of flour needed would be:
= Number of cups of sugar / Cups of sugar per cup of flour
= 10 / 1.5
= 6 ²/₃ cups of flour
Angela's recipe shows that the cups of sugar needed per cup of flour is:
= (2 - 0) / (1 - 0)
= 2 cups of sugar
This means that with 10 cups of sugar, the amount of flour needed is:
= 10 x 1/2
= 5 cups of flour
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Find the area of thisirregular figure.9 ft8 ft15 ft26 ft
The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.
The required area can be determined as,
[tex]\begin{gathered} A=A_t+A_r \\ =(\frac{1}{2}\times8\text{ ft}\times9\text{ ft)+(15 ft}\times26\text{ ft)} \\ =36ft^2+390ft^2 \\ =426ft^2 \end{gathered}[/tex]Thus, the required area of the irregular figure is 426 square feet.
What number should be subtracted from both sides of the following equation to solve for x?x + 27 = 303027573
Step 1
Given;
[tex]x+27=30[/tex]Required; To solve for x
Step 2
Add -27 to both sides
[tex]\begin{gathered} x+27-27=30-27 \\ x=3 \end{gathered}[/tex]Answer; The number that should be subtracted from both sides of the equation is 27
Super Painters cobra S1.00 por pie cuadrado más una tarifa adicional de $ 25.00 para pintar una sala de estar. Ifx representa el área de las paredes de la sala de estar de Francesca, en pies cuadrados, e y representa el costo, en dólares, ¿qué gráfica representa mejor el costo de pintar su sala de estar
Responder
y = x + 25
Explicación
El costo de pintar y, para pintar x pies cuadrados es $ 25 más $ 1.00 por pie cuadrado.
Entonces, si se van a pintar x pies cuadrados, la tarifa será
y = (1 × x) + 25
y = x + 25
¡¡¡Espero que esto ayude!!!
due in an hour pls help!!
just tell me where to put the points
Translation is defined as an interpretation into another language or context. The Spanish word "bueno," which translates to "good," serves as an illustration. A translation can involve explaining to a parent the significance of their teen's expression.
What is the translational equation?The translation equation or formula is written as g(x) = f(x+k) + C.
Example
(x -3, y - 2)
x - 3 y - 2 ;
x-3 y-2
x-3y - 2
x² - x - 6 =0
-x + 3 > 2x + 1
line(1, 2),(3 ,1)
f(x) = x³
prove tan²(x) - sin ²(x) = tan²(x) sin²(x)
d /dx(3x + 9/2 -x)
(sin²(0))
sin (120)
lim(x -> 0 (xln(x))
= 0 3/2n.
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Determine the intercepts of the line:
y = 10x - 32
Answer:
The x intercept is 3.2, and the y intercept is -32.
Step-by-step explanation:
give brainiest
y-intercept is -32, x intercept is 3.2
Step-by-step explanation:
y-int is whatever b is in y=mx+b
x-int is whatever makes the equation equal to zero
Easy math, 50 points.
Answer:
2 1/2 (D)
Step-by-step explanation:
1 8/12 + 5/6
you have to make the denominator on the right equal to the denominator on the left. in order to do that, multiple the numerator and denominator on the left my two.
5/6 become 10/12.
1 8/12 + 10/12
1 18/12
Simplify,
2 6/12 (1/2)
Answer:
[tex]1\frac{8}{12}+\frac{5}{6}=2\frac{1}{2}[/tex]
help pls sos help sos help
Answer:
Step-by-step explanation:
Up 6 right 4: (4,6)
Right 4 up 6: (4,6)
Left 4 up 6: (-4, 6)
Down 4 right 6: (6, -4)
Right 6 down 4: (6, -4)
Answer: Right 4 up 6 is (4,6), left 4 up 6 is (-4,6), and right 6 down 4 is (6, -4).
Step-by-step explanation: Since you're starting from the origin, it's mainly counting. For (4,6), you are moving 4 places from 0 on the x axis. Then you move up 6 spaces from 4 on the y-axis. If you didn't move up, you'd be stuck at (4,0). It's important to keep in mind that (x,y).
alues there is action youThe ton presents a function because
Answer:
The equivalent expression is;
[tex]\frac{1}{x^{19}}[/tex]Explanation:
Given the expression;
[tex]\frac{(x^{-5})^4}{x^{-1}}[/tex]we want to simplify;
[tex]\begin{gathered} \frac{(x^{-5})^4}{x^{-1}} \\ =\frac{x^{-5}^{(4)}}{x^{-1}} \\ =\frac{x^{-20}}{x^{-1}} \end{gathered}[/tex]Applying the rules of exponent;
[tex]\begin{gathered} =\frac{x^{-20}}{x^{-1}} \\ =\frac{1}{x^{20}}\times\frac{1}{x^{-1}} \\ =\frac{1}{x^{20-1}} \\ =\frac{1}{x^{19}} \end{gathered}[/tex]Therefore, the equivalent expression is;
[tex]\frac{1}{x^{19}}[/tex]the masses of 4 different animals from the zoo are shown in the table below. convert each measure to pounds. then sort the animals from least to greatest weight.
Animals: (mass kg)
brown bear: 272.16 kg
giraffe: 1,124.0 kg
lion: 226.8 kg
rhinoceros: 1,587.6 kg
1. When we convert each measurement to pounds, we have
Brown bear: 600 poundsGiraffe: 2478 poundsLion: 500 poundsRhinoceros: 3500.1 pounds2. When we arrange from least to greatest, we have
Lion, brown bear, giraffe, rhinoceros
1. How to convert kilogram to poundCoversion scale
1 kg = 2.20462
With the above scale, we can convert each measurement to pound as follow:
I. Brown bear
1 kg = 2.20462
Therefore,
272.16 Kg = 272.16 × 2.20462
272.16 Kg = 600 pounds
II. Giraffe
1 kg = 2.20462
Therefore,
1124.0 Kg = 1124.0 × 2.20462
1124.0 Kg = 2478 pounds
III. Lion
1 kg = 2.20462
Therefore,
226.8 Kg = 226.8 × 2.20462
226.8 Kg = 500 pounds
IV. Rhinoceros
1 kg = 2.20462
Therefore,
1587.6 Kg = 1587.6 × 2.20462
1587.6 Kg = 3500.1 pounds
2. How to arrange for least to greatest
Brown bear: 600 poundsGiraffe: 2478 poundsLion: 500 poundsRhinoceros: 3500.1 poundsThus, arranging from least to greatest, we have
Lion, brown bear, giraffe, rhinoceros
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Please help CORRET ANWSERS ONLY!
Answer:uhh
Step-by-step explanation:
18. An 80-pound grass seed mixture is 30% bluegrass seed. How many pounds of seed
containing no bluegrass seed (0%) should be added to the seed mixture for a resulting
blend that is 20% bluegrass seed? Construct a table, then solve.
Step-by-step explanation:
what table is your teacher taking about ?
in any case this is resistive easy to solve
80 pounds of 30% with x pounds of 0% result in 80+x pounds of 20% :
80×0.3 + x×0 = (80 + x)×0.2 = 80×0.2 + x×0.2
80×0.1 = x×0.2
x = 80×0.1/0.2 = 80/2 = 40 pounds
so, 40 pounds of 0% have to be added to the 80 pounds of 30% to get a mixture of 20% (80+40 = 120 pounds).