Step-by-step explanation:
13. 3(x - 5)(x + 5)
14. 2a(2b + 9)
Find the value of X. Round your answer to the nearest tenth... I just need the answer nothing more thx
Answer:
42.3°
Step-by-step explanation:
Use SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse) we see that they give us the angle missing, x, but we first need to identify what method to use. They give us the opposite side from the angle, and they also give us the adjacent side from the angle, so TOA=tan.
now plug it in, since there is no angle then we plug it in as \(tan^{-1}=\frac{10}{11}\)
in the calculator, (be sure to be in degree mode)
x= 42.3°
(does that make sense)
Determine the domain and range of the quadratic function. \(f(x)=2x^{2}-4x+2\)
The domain of a quadratic function is (-∞, +∞), and the range depends on the coefficient a and can be [c, +∞) or (-∞, c] depending on the direction of the parabola.
To determine the domain and range of a quadratic function, we consider the characteristics of the function and its graph.
The domain of a quadratic function, represented by the variable x, is the set of all possible input values for which the function is defined. Since quadratic functions are defined for all real numbers, the domain of a quadratic function is (-∞, +∞) or the set of all real numbers.
The range of a quadratic function, represented by the variable y or f(x), is the set of all possible output values that the function can take. For a quadratic function in the form f(x) = ax^2 + bx + c, where a ≠ 0, the range depends on the coefficient a. If a > 0, the parabola opens upward, and the range is [c, +∞). If a < 0, the parabola opens downward, and the range is (-∞, c].
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I WILL MARK YOU THE BRAINLIEST LINKS WILL BE REPORTED AND DELETED !
What is the values of 9p5 ?
A: 45
B: 126
C: 3024
D: 15,120
Answer:
The correct answer is D:-15,120
\(^{n}P_{r}=\dfrac{n!}{(n-r)!}\\\\\implies ^{9}P_5 = \dfrac{9!}{(9-5)!} =\dfrac{9!}{4!} = 15120\)
The answer is D.
Select the correct answer.
Figure 1 is similar to figure 2. What is the height of figure 1?
4x
61-
figure 1
O A.
1 unit
OB.
O C.
O D. 4 units
8 units
2 units
-2x
figure 2
Answer:
D. 4 units
Step-by-step explanation:
Similar figures have corresponding lengths in proportion.
\(\frac{4x}{2x}=\frac{x+1}{x} \\ \\ 2=1+\frac{1}{x} \\ \\ 1=\frac{1}{x} \\ \\ x=1\)
Therefore, the height of Figure 1 is 4.
determine what rule the function machine is using
Answer:
no.B is your answer
the function used is 1's compliment di-aerobatic function
its correct as u can check in my site .. www.arexomputerit12.com
Step-by-step explanation:
mark as brainliiest
Penelope goes out to lunch. The bill, before tax and tip, was $16.05. A sales tax of 3% was added on. Penelope tipped 18% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.
Answer:
2.98
Step-by-step explanation:
First find 3% of 16.05 which is 0.48.
Then add 0.48 to 16.05 which is 16.53.
Then multiply .18 by 16.53 which gets you 2.98
Hope it helps
Answer:
To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:
Sales tax = 0.03 x $16.05 = $0.48
To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:
Total bill = $16.05 + $0.48 = $16.53
To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:
Tip = 0.18 x $16.53 = $2.98
Rounding to the nearest cent, Penelope left a tip of $2.98.
Step-by-step explanation:
Stephanie is trying to figure out the sample size of an experiment. She knows the population SD is 41.5 and the SD of the sample averages is 2.7. What is the sample size of the experiment?
a. 15.37
b. 0.00367718446
c. 236.24
Write the trigonometric ratio as a simplified fraction.
10. sin B
C9
A
C
6
15 C
B
11. cos A
12. tan A
10.
11.
12.
The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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Square or rectangle? Pretty sure it’s square, but then I second guess myself lol.
Thanks :)
Answer:
square mabye
Step-by-step explanation:
The scale on a map is 1:320000
What is the actual distance represented by 1cm?
Give your answer in kilometres.
By answering the presented question, we may conclude that Therefore, 1 expressions cm on the map corresponds to a real distance of 3.2 km.
what is expression ?In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.
Scale 1:
320000 means that 1 unit on the map represents his 320000 units in the real world.
To find the actual distance represented by 1 cm on the map, you need to convert the units to the same scale.
1 kilometer = 100000 cm
So,
1 unit on the map = 320000 units in the real world
1 cm on the map = (1/100000) km in the real world
Multiplying both sides by 1 cm gives:
1 cm on the map = (1/100000) km * 320000
A simplification of this expression:
1 cm on the map = 3.2 km
Therefore, 1 cm on the map corresponds to a real distance of 3.2 km.
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the pay rate for employee C is less than the pay rate for employee b and greater than the pay for employee a. write an equation for the possible pay y in dollars that employee c ears working x hours
This equation y = cx represents a simple linear relationship between the pay y and the number of hours x worked by employee C.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's assume that the pay rate for employee A is $a per hour, the pay rate for employee B is $b per hour, and the pay rate for employee C is $c per hour, where a < c < b. Then, we can write an equation for the possible pay y that employee C earns working x hours as,
y = cx
This equation represents a simple linear relationship between the pay y and the number of hours x worked by employee C. The pay rate is represented by coefficient c, which is between a and b according to the problem statement. The pay earned y is simply the product of the pay rate c and the number of hours worked x.
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Type the correct answer in the box.
Rewrite the quadratic equation in the form y = a(x - h)² + k
The quadratic equation can be written as follows:
y = 5(x - 3)² + 50.
How to rewrite the quadratic function?The quadratic function in the context of this problem is defined as follows:
y = 5x² - 30x + 95
The coefficients of the quadratic function are given as follows:
a = 5, b = -30 and c = 95.
Then the x-coordinate of the vertex is given as follows:
h = -b/2a
h = 30/10
h = 3.
The y-coordinate of the vertex is given as follows:
h = 5(3)² - 30(3) + 95
h = 50.
Hence the equation is:
y = 5(x - 3)² + 50.
Missing InformationThe quadratic function in the context of this problem is defined as follows:
y = 5x² - 30x + 95
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What is the answer to 0.2x10=
0.2 × 10 = 2
u can check a calculator
graph each equation by using a table -3=5x-y
The graph of the equation is shown below
Graph of linear equations
From the question, we are to graph the given equation
The given equation is
-3 = 5x - y
To graph the equation,
First we will determine the x-intercept and y-intercept
x-intercept
Put y = 0 in the equation
-3 = 5x - 0
-3 = 5x
x = -3/5
y-intercept
Put x = 0 in the equation
-3 = 5(0) - y
-3 = 0 - y
-3 = -y
y = 3
Using the x-intercepts and y-intercepts, we can plot the graph of the equation.
The graph of the equation is shown below
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PLEASE HELP I GIVE BRAINLIEST
Answer: 777654
Step-by-step explanation:
lol
Simplify the rational expression. You may want to refer to Example 12 of this8x - 9/9 - 8x
ANSWER
\(-1\)EXPLANATION
We want to simplify the rational expression given:
\(\frac{8x-9}{9-8x}\)To do this, rewrite the denominator and simplify:
\(a-b=-(b-a)\)This implies that:
\(\begin{gathered} \frac{8x-9}{-(8x-9)} \\ \Rightarrow\frac{1}{-1} \\ \Rightarrow-1 \end{gathered}\)That is the answer.
Suppose that A is countable set. Show that the set B is also countable if there is an onto function f from A to B
Let A and B be two countable sets. Then there exists a bijective function f from A to B.
Since f is onto, for every element b in B, there exists a unique element a in A such that f(a)=b. This implies that the number of elements in B is equal to the number of elements in A, i.e. B is also countable.
Formally, if A = {a1, a2, ..., an}, then B = {f(a1), f(a2), ..., f(an)}. Since f is onto, B has n elements, which implies that B is countable.
Let A be a countable set and let B be a set with an onto function f from A to B. Since A is countable, it can be written as an infinite sequence of distinct elements an, where n is a natural number. To show that B is also countable, we can construct a one-to-one correspondence between the elements of A and B. We can do this by assigning bi to the element ai in A, for each i. Thus, we can write B as an infinite sequence of distinct elements bn, where n is a natural number. Therefore, B is countable.
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. Bert has a well-shuffled standard deck of 52 cards, from which he draws one card; Ernie has a 12-sided die, which he rolls at the same time Bert draws a card. Compute the probability that:
a. Bert gets a Jack and Ernie rolls a five.
b. Bert gets a heart and Ernie rolls a number less than six.
c. Bert gets a face card (Jack, Queen or King) and Ernie rolls an even number.
d. Bert gets a red card and Ernie rolls a fifteen.
e. Bert gets a card that is not a Jack and Ernie rolls a number that is not twelve.
Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.
What is probability, exactly?The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.
Here,
a.
P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)
= (4/52) * (1/12)
= 1/78
b.
P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)
= (13/52) * (5/12)
= 65/624
c.
P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)
= (12/52) * (6/12)
= 1/4
d.
P(Bert gets a red card and Ernie rolls a fifteen) = 0
e.
Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:
A regular 52-card deck contains 48 cards that are not Jacks,
so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.
On a 12-sided dice with 11 possible outcomes,
Ernie rolls a non-12th-number (1, 2, 3, etc.).
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Find the sum and express it in simplest form.
(2y2 +9y + 4) + (-3y² - 3y)
Exponent (^)
Enter the correct answer.
Answer:
To find the sum of the two expressions, we can combine like terms. In this case, we have two terms with a coefficient of -3y² and two terms with a coefficient of -3y, so we can combine them to get:
(-3y² + -3y²) + (-3y + -3y) + (2y² + 9y + 4)
Simplifying the expression gives us:
-6y² - 6y + 2y² + 9y + 4
Combining the like terms again gives us:
-4y² + 15y + 4
Therefore, the sum of the two expressions is -4y² + 15y + 4. This is already in simplest form.
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, how many hot dogs would Winston need to sell to earn a total of $175.00?
A. 14
B. 70
C.350
D.2.5
Answer:
B or 70 hot dogs.
Step-by-step explanation:
56 hot dogs cost 140 dollars
1 hot dog costs 140/56 = 2.50
How many hot dogs would you need to see to get 175 dollars.
x * $2.50 = $175
x = 175/2.5
x = 70
A line has a slope of - 1/4 and passes through point(-5/4,1)
What is the equation of the line?
Answer:
y= -1/4x - 1/4
Step-by-step explanation:
y - y1 = m(x - x1)
y - 1 = -1/4 (x -(-5/4))
y - 1 = -1/4x - 5/4
y = -1/4x - 1/4
From a hot-air balloon, Aubree measures a 20° angle of depression to a landmark
that's 699 feet away, measuring horizontally. What's the balloon's vertical distance
above the ground? Round your answer to the nearest tenth of a foot if necessary.
The balloon vertical distance above the ground to the nearest tenth is 254.4 feet.
The situation forms a right-angle triangle.
Properties of a right angle triangle:It has one of its angles as 90 degreesThe angles and the sides can be found using trigonometric ratios.Therefore, the horizontal distance from the landmark to the balloon is the adjacent side. The balloon vertical distance above the ground is the opposite side of the triangle.
Using trigonometric ratios,
tan 20° = opposite / adjacent
tan 20° = h / 699
cross multiply
h = 699 × tan 20°
h = 699 × 0.36397023426
h = 254.415193752
h = 254.4 feet
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Number patterns 2 3 4 12 13 14 22 23 24 25 26 27 28 29 32 33 34 35 36 37 38 39 42 43 44 45 46 47 48 49 52 53 54 55 56 57 58 59 62 63 64 65 66 67 68 69 72 73 74 75 76 77 78 79 84 82 83 85 86 90 87 88 89 94 92 93 95 96 97 98 99 100 1 11 21 31 41 51 61 71 81 91 5 6 7 8 9 10 15 16 17 18 19 20 30 40 50 60 70 80 2. Start at 2.. Count by 2s. Colour these boxes yellow. 3. Start at 5. Count by 5s. Colour these boxes green. 4. Start at 1. Count by 10s. Colour these boxes red. 5.Count up to 100, by 1s, 2s, 5s, 10s, and 25s. Ask a friend to listen to you. Count forwards and backware Learning Outcome: skip count forward and backward by 2s. 5s. 10s. 25s. and 100s to 1000.
Answer:
Step-by-step explanation:
heyyyyyy besties plz answer this question correctly and u will get brainliest plz thanks
Answer:
Nicole is more expansive
Step-by-step explanation:
x for Rhonda replaced by 2 = 21. X for Nicole replaced by 2=24
the bottom angle is also 45 could some one answer this for me
The length of the side opposite to the reference angle is 7.77 units.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.
We know, sin = opposite/hypotenuse.
Therefore,
sin45° = x/11.
1/√2 = x/11.
x = 11/√2.
x = 7.77 units.
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Which describes a pair of angles
Answer:
The answer that describes the pair of angles is Acute
Que números multiplicados dan 30 y sumados dan 11
Answer:
5, 6
Step-by-step explanation:
Answer:
Los números son:
6 y 5
Step-by-step explanation:
Planteamiento:
a * b = 30
a + b = 11
Desarrollo:
De la segunda ecuación del planteamiento:
a = 11-b
Sustituyendo esta última ecuación en la primer ecuación del planteamiento:
(11-b)*b = 30
11*b + b*-b = 30
11b - b² - 30 = 0
-b² + 11b - 30 = 0
b = {-11±√((11²)-(4*-1*-30))} / (2*-1)
b = {-11±√(121-120)} /-2
b = {-11±√1} / -2
b = {-11±1} / -2
b₁ = {-11-1} / -2 = -12/-2 = 6
b₂ = {-11+1} / -2 = -10/-2 = 5
Comprobación:
6*5 = 30
6+5 = 11
The box will be filled 4/5 of the way with macaroni. Find the volume if macaroni that can be put in each box. 25 cm and 5 cm also 4 cm
The volume of the box that can be filled with a volume of macaroni 25cm by 5cm by 4cm is calculated to be 625 cubic centimeters.
Volume of a rectangular boxThe volume of a rectangular box is calculated by multiplication of its three dimensions which are the length, width, and height . That is Length × Width × Height in the same units.
volume of the macaroni = 25cm × 5cm × 4cm
volume of the macaroni = 500 cm³
given that the box will be filled 4/5 of the way with macaroni, then;
volume of the box = (500 × 5)/4
volume of the box = 2500/4
volume of the box = 625
Therefore, the volume of the box that can be filled with a volume of macaroni 25cm by 5cm by 4cm is calculated to be 625 cubic centimeters.
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You spend $4.50 on 5 pounds of apples. What is the unit rate in dollars per pound?
Answer:
$0.90/pound
Step-by-step explanation:
4.5$ ÷ 5 pounds = $0.90 / pound
Please Help. Write an equation of the line that passes through (1,2) and is perpendicular to the line
that passes through y=-3x - 4
Answer:
\(y=\frac{1}{3}x+\frac{5}{3}\)
Step-by-step explanation:
Slope of \(y=-3x-4\) is the m of the general equation \(y=mx+b\) which \(-3\) The slope a line perpendicular to this line is the number that if multiplied with -3 will give us -1 so that \(\frac{1}{3}\) With that slope and the point \((1,2)\) use the formula\(y-y_1=m(x-x_1)\\y-(2)=\frac{1}{3} (x-(1))\\y-2=\frac{1}{3}x-\frac{1}{3}\\y=\frac{1}{3}x+\frac{5}{3}\)