Answer:
(-2,2)
hope this helps!!!
norton22aa
Step-by-step explanation:
Answer:
[tex]y=2(x+2) ^ 2 + 2.[/tex]
Step-by-step explanation:
For a quadratic equation written in the general form [tex]y=ax ^ 2 + bx + c[/tex],
the x coordinate of its vertex is:
[tex]x = -\frac{b}{2a} = h[/tex]
Then this equation written in the form of vertex is:
[tex]y=a(x-h) ^ 2 + k.[/tex]
Where the point (h, k) is the vertex of the parabola.
In this case we have the equation
[tex]y=2x^2+8x+10[/tex]
Then the x coordinate of its vertex is:
[tex]x=-\frac{8}{2(2)}\\\\x= -2[/tex]
Therefore the y coordinate of its vertex is:
[tex]f(-2) = 2(-2)^2+8(-2)+10\\\\f(-2) = 2[/tex]
The vertice is (-2, 2)
Then
[tex]h=-2\\\\k = 2[/tex].
This equation written in the form of vertex is
[tex]y=2(x+2) ^ 2 + 2.[/tex]
3 example of mathematics in everyday life
Answer: 1. Shopping for the best price.
2. Preparing food.
3. Understanding sports (being a player and team statistics)
Hope This Helps, Please Vote Brainliest.
Everyday life is filled with mathematical applications such as managing finances, estimating travel time and distance, and understanding symmetry in design, demonstrating the practical importance of mastering essential mathematical skills.
Mathematics is deeply embedded in our everyday lives, and we often apply mathematical concepts without even realizing it. Here are three examples that illustrate the prevalence of mathematics in daily activities:
Managing finances: Whether it's budgeting for household expenses, calculating interest on savings, or determining the cost of a purchase after tax, we use basic arithmetic operations such as addition, subtraction, multiplication, and division to keep track of our money.Estimating time and distance: For planning travel, whether driving or using public transport, we use approximations and concepts of speed and distance to estimate arrival times, which involves understanding and applying the formula for speed (distance divided by time).Understanding symmetry: In various design aspects of life, such as art, architecture, and even in nature, we recognize patterns and symmetry. This can involve recognizing one-dimensional or three-dimensional objects and using.In addition to these practical applications, developing a mental agility for mathematics allows us to employ shortcuts and rule-of-thumb strategies to make our lives easier.
A standard number cube is tossed. Find P(less than 3 or odd).
Answer:
P(.6666...) or P(2/3)
Step-by-step explanation:
We know we have one single event with 3 outcomes. We can figure that 5 is the only other odd number not 1-3, so that means we have 3+1 outcomes
Ok, so no we know we have 1 singular event with 3+1 possible outcomes
This means the probability is 4/6, due to a normal die having 6 faces.
Therefore, the probability is 4/6, 2/3, or .666666......
Please note that I have not done P&S for over 1 year now and I learned it in geometry, but don't be discouraged as I googled how to do this, but if I wrong, tell me.
The Probability of obtaining a number less than 3 or odd when a standard number cube is tossed is 2/3.
In probability theory, the question is asking for the possibility of tossing a number cube and landing on a number less than 3 or an odd number.
In a standard number cube which is a die, we have six numbers (1, 2, 3, 4, 5, 6).
Numbers less than 3 are 1 and 2.
The odd numbers are 1, 3 and 5.
However, 1 is common to both cases, so we add the total unique outcomes which are 1, 2, 3, and 5.
So, we have four favorable outcomes.
To find the probability, you calculate the ratio of the favorable outcomes to the total possible outcomes.
In this case, it will be 4 favorable numbers against 6 possible numbers altogether.
Hence, P(less than 3 or odd) is 4/6 which can be simplified to 2/3.
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What is the volume of the composite figure shown below?
Answer:
The composite shape has a total area of 2412mm squared.
The volume of composite figure is,
[tex]=1873+540=2413mm^{3}[/tex]
Volume of Cuboid:The volume of composite figure is the sum of volume of upper cuboidal part and volume of lower cuboidal part.
The length , width and height of upper cuboidal part is 13, 12 and 12 mm.
Volume of upper part is,
[tex]=13*12*12=1873mm^{3}[/tex]
The length , width and height of lower cuboidal part is 15, 12 and 3 mm.
Volume of lower part is,
[tex]=15*12*3=540mm^{3}[/tex]
The volume of composite figure is,
[tex]=1873+540=2413mm^{3}[/tex]
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hi can you help with this !
In a fruit cocktail, for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk. What proportion of the cocktail is coconut milk?
Give your answer as a fraction in its simplest form.
9/20 is coconut milk
The proportion of coconut milk in the fruit cocktail is 9/20, which is calculated by dividing the amount of coconut milk (45 ml) by the total volume of the cocktail (100 ml), then simplifying the fraction.
To find the proportion of coconut milk in the fruit cocktail, we first add up the total amount of all the liquids that go into the cocktail. According to the question, for every 25 ml of orange juice, there is also 30 ml of apple juice and 45 ml of coconut milk mixed together. Adding these amounts gives us a total mixture volume of 25 ml + 30 ml + 45 ml = 100 ml for the cocktail.
Next, we need to find out what fraction of this total mixture is coconut milk. Since there are 45 ml of coconut milk in the total 100 ml of the cocktail, the fraction is 45/100. This fraction can be simplified by dividing both numerator and denominator by the greatest common divisor, which is 5, giving us 9/20.
Therefore, the proportion of coconut milk in the fruit cocktail is 9/20.
22722776 x 738399383838338
Answer:
1.6778484x10^22
Step-by-step explanation:
Answer:1.6778484e+22
Step-by-step explanation:
Just multiply the numbers
PLEAS HELP 10 POINTS
Answer:
It is an obtuse angle so it is greater than 90 degrees you will have to use a protractor to figure it out.
what is the expression of the quotient of 32 times a number and 4 is 16
Step-by-step explanation:
32x ÷ 4 = 16
32x = 64
x = 2
Use special right triangle ratios to determine the length of x and y below
Answer:
see explanation
Step-by-step explanation:
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{1}[/tex]
hence x = sin30° = [tex]\frac{1}{2}[/tex]
and
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{1}[/tex]
hence y = cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
you sell ice cream cones. the table shows your profit for selling different numbers of cones . based on the x- and y-values in the table , which equation shows how the number of cones sold and profit (in dollars) are related
Answer:
y=2x-8
Step-by-step explanation:
this is the answer for ttm
could anyone help me with this problem i'm stuck
h(17)= ?
Answer:
[tex]\sqrt{17t}[/tex]
Step-by-step explanation:
Consider the right side of the table
It informs us of the values for h(t) for different values of t
The top one informs us what h(t) is when t = 17, that is
h(t) = [tex]\sqrt{17t}[/tex], when t = 17, thus
h(17) = [tex]\sqrt{17t}[/tex]
share 240 in the ratio of 8 3 1
Answer:
160, 60, 20
Step-by-step explanation:
solve for x. find the zeros of the function. write the smaller solution first, and the larger solution second. h(x)=(-4x-3)(x-3)
Final answer:
The zeros of the function h(x)=(-4x-3)(x-3) are x=3/4 and x=3, with the smaller solution being 3/4 and the larger solution being 3.
Explanation:
To solve for x, we need to find the zeros of the function h(x) = (-4x-3)(x-3). The zeros of a function occur where the function equals zero, so setting h(x) to zero gives us:
0 = (-4x - 3)(x - 3)
A function is zero when any of its factors are zero. We can, therefore, set each factor equal to zero and solve:
-4x - 3 = 0 => x = -3/(-4) => x = 3/4
x - 3 = 0 => x = 3
So the zeros of the function are x = 3/4 and x = 3. The smaller solution is x = 3/4, and the larger solution is x = 3.
what does a flowchart proof
Answer:
What is shows is that there could be an increase in a business or a decrease. It shows whats happened in the last amount of time. It can show if you have been doing good or bad in something.
Step-by-step explanation:
Answer:
By its diagrammatic representation, a flow chart can represent step-by-step the solution of a task.
Step-by-step explanation:
A flow chart is commonly defined as a diagrammatic representation or concept map of an algorithm. They can be used to shows the statements and reasons needed to indicate the logical order during the solution of a task.
Bearing the above in mind, it could be said that they illustrate the solution to a certain problem, as well they can analyze, design or manage a process.
Pamela is doing a probability experiment with a box of colored paperclips comprised of red, green, blue, and yellow paperclips. She is drawing a paperclip at random from the box and records the color before returning the paperclip to the box. Her results are shown in the table below.
Color Number of
Times Drawn
Red 44
Green 38
Blue 42
Yellow 36
Complete the following sentences based on the outcomes in the table.
If a paperclip is drawn a total of 800 times, a yellow paperclip is expected to be drawn roughly
times.
If a paperclip is drawn a total of 80 times, a blue paper clip is expected to be drawn roughly
times.
If a paperclip is drawn a total of
times, a green paper clip is expected to be drawn roughly 1,235 times.
Answer:
Step-by-step explanation:
To calculate the number of yellow paperclips expected to be drawn if a paperclip is drawn 800 times, multiply the number of draws by the probability of drawing a yellow paperclip.
Therefore, if a paperclip is drawn a total of 800 times, a yellow paperclip is expected to be drawn roughly 180 times.
To calculate the number of blue paperclips expected to be drawn if a paperclip is drawn 80 times, multiply the number of draws by the probability of drawing a blue paperclip.
Thus, if a paperclip is drawn a total of 80 times, a blue paper clip is expected to be drawn roughly 21 times.
Finally, calculate the number of draws necessary if a green paperclip is drawn roughly 1,235 times, divide 1,235 by the probability of drawing a green paperclip.
Therefore, If a paperclip is drawn a total of 5,200 times, a green paper clip is expected to be drawn roughly 1,235 times.
PLEASE HELP WITH THE QUESTION BELOW ASAP!! THANKS SO MUCH!
Answer:
y=-1/4x-4
Step-by-step explanation:
it simple rise over run: -1 go down one over 4 right or the other way around go up 1 and left 4 either way would work your y intercept is -4 because that is the point crossing the y-axis hope i helped!
Answer: y= (-1/7)x - 4
Step-by-step explanation:
Choose any two points on the line and use the slope equation:
(0,-4) (7,-5)
m = (y2 - y1) / (x2 - x1)
So: m = (-5 - (-4)) / (7 - 0)
m = - 1/7
Use point slope form to find the line:
(y - y1) = m(x - x1)
(y - (-4)) = (-1/7)(x - 0)
y + 4 = (-1/7)x
y = (-1/7)x - 4
Use basic trigonometric identities to simplify the expression: sin (-x) cos (-x) csc (-x) =?
Answer:
[tex]sin (-x) cos (-x) csc (-x) =cos(x)[/tex]
Step-by-step explanation:
We know by definition that the cosine is an even function, therefore
[tex]cos (-x) = cos (x)[/tex]
We also know that the sin is an odd function, therefore
[tex]sin (-x) = -sin (x)[/tex]
By definition:
[tex]cscx = \frac{1}{sinx}.[/tex]
Then:
[tex]csc(-x) = \frac{1}{sin(-x)}.[/tex]
[tex]csc(-x) = -\frac{1}{sin(x)}.[/tex]
Using these trigonometric properties we can simplify the expression
[tex]sin (-x) cos (-x) csc (-x)= -sin(x)cos(x)*(-\frac{1}{sin(x)})\\\\sin (-x) cos (-x) csc (-x)=cos(x)[/tex]
The answer is:
The simplified expression is:
[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)[/tex]
Why?To simplify the expression we need to use the following trigonometric identities:
[tex]Sin(-x)=-Sin(x)\\Cos(-x)=Cos(x)\\Csc(-x)=-Csc(x)\\Csc(x)=\frac{1}{Sin(x)}[/tex]
We are given the expression:
[tex]sin(-x)*cos(-x)*csc(-x)[/tex]
So, applying the identities and simplifying, we have:
[tex]Sin(-x)*Cos(-x)*Csc(-x)=-Sin(x)*Cos(x)*-\frac{1}{Sin(x)}[/tex]
[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)*-Sin(x)*-\frac{1}{Sin(x)}[/tex]
[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)[/tex]
Hence, the simplified expression is:
[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)[/tex]
Have a nice day!
The function for the cost of materials to make a muffin is f(x) = Three fourths x + 3, where x is the number of muffins. The function for the selling price of those muffins is g(f(x)), where g(x) = 3x + 4. Find the selling price of 20 muffins.
So first let’s put g(f(x)) together by putting f(x) for every x in g(x)
We get g(f(x))=3(3/4x+3)+4 which is the selling price equation
Then you plug in 20 to find the selling price for 20 muffins.
g(f(x))=3(3/4(20)+3)+4
g(f(x))=3(60/4+3)+4
g(f(x))=3(18)+4
g(f(x))=54+4
g(f(x))=58
So the selling price will be $58 for 20 muffins.
How do you prove 4 (cos^4A + sin^4A) / (3+cos4A) = (cos^4A-sin^4A) sec2A?
Step-by-step explanation:
Step 1: (sin²A+cos²A)²
Step 2: (a+b)² = a²+b²+2ab
Step 3: (sin²A+cos²A)²=sin⁴+cos⁴+2sin²Acos²A
make sure to use: sin²a+cos²a=1
Step 4: (1)²-2sin²Acos²A = sin⁴A+cos⁴A
Step 5: 1-2sin²Acos²A = sin⁴A+cos⁴A
Julio added 6 cubes to his prism. Calculate the volume. How has the volume changed?(The picture is without the 6 cubes)
Will award 100 points
Step-by-step explanation:
Assuming the length of each cube's sides is s, then the volume of each cube is V = s³. The number of cubes before adding is 2×3×3 = 18. So the total volume is:
V = 18s³
After adding 6 cubes, the volume becomes:
V = 18s³ + 6s³
V = 24s³
what is the Factored form of polynominal x^2-12x+27
the answer is (x−3)(x−9)
the door frame has measurements of 3 feet by 8 feet. What is the length of the largest table that can be brought in the house on a diagonal? someone please help me out
Answer:
sqrt(73) = 8.54 feet.
Step-by-step explanation:
Remark
My guess is without the legs.
The person bringing it in will not be able to get a table in that is longer than the hypotenuse of a right triangle.
Givens
a = 8
b = 3
c = ??
Formula
a^2 + b^2 = c^2
Solution
8^2 + 3^2= c^2
64 + 9 = c^2
c^2 = 73
c = sqrt(73)
c = 8.54
The table can be no longer than 8 feet 5 inches about.
What does x equal? Similarity
Check the picture below.
X= 2
This is the answer I don’t know if you want an explanation or not but it needs to be 20 cHaRaCterS lONg
Find the missing length round to the nearest tenth I don’t know how to do this
Answer:
Step-by-step explanation:
Answer:
19.4
Step-by-step explanation:
21^2 = 8^2 + a^2
441 = 64 + 377
the square root of 377 = approximately 19.4
can a triangle have the sides with the given lengths of 2 in, 4 in, 6 in
Not sure. I would say no.
Which statements are true about slices of a nght rectangular prism? Check all that apply
The prism sliced by a plane parallel to the base will take the shape of the base
The prism sliced by a plane parallel to the base will take the shape of the side face
The prism sliced by a plane perpendicular to the base will take the shape of the base
The prism sliced by a plane perpendicular to the base will take the shape of the side ce
U The prism sliced by a plane perpendicular to the base will take the shape of a triangle
Answer: A and D .
Explanation: The prism by a plane parallel to the base will take the shape of the base and The prism sliced by a plane perpendicular to the base will take the shape of the sides is the correct answers.
The prism by a plane parallel to the base will take the shape of the base and The prism sliced by a plane perpendicular to the base will take the shape of the sides.
What is a rectangular prism?There are a total of six faces, twelve sides, and eight vertices in a rectangular prism. It has three dimensions, just like a cuboid: the base width, the height, and the length. The rectangular prism has a rectangular shape at its top and bottom. A rectangular prism has opposite face pairs that are identical or congruent.
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answer in need
just answer the first word problem and the 3rd, first section (iii) question
will surly mark brainlist
answer fast plz.........
will earn 12 points + brainlist
i thimk this might be the answer to question 3 (iii)
I'm sorry I don't know how to solve the first question
describe parallel lines and include a sketch that shows parallel lines. give real-world example of parallel lines. Use appropriate labeling and symbols
Answer:
The parallel lines are lines that are always at the same distance apart from each other and never touch. Also they must be drawn in the same plane.
Step-by-step explanation:
Consider the provided information.
The parallel lines are lines that are always at the same distance apart from each other and never touch. Also they must be drawn in the same plane.
The sketch that shows parallel lines is shown in figure.
The real life example of parallel lines.
Few examples are:
1) Railroad Tracks
2) Edges of walls
3) Zebra crossing
Parallel lines are straight lines that run in the same direction, never intersect, and maintain a constant separation distance, as seen in railroad tracks.
Parallel-Lines are two or more straight lines that run in the same direction and never intersect, no matter how far they extend. They maintain a constant separation distance between them, and their slopes (steepness) are equal.
In a sketch, parallel lines are depicted as lines that are equidistant from each other and do not cross, remaining at the same distance apart.
The sketch of parallel-lines is shown below;
A real-world example of parallel lines is railroad tracks. When you observe two railway tracks running alongside each other, they serve as a practical illustration of parallel lines. They remain equidistant throughout their length and never converge, ensuring safe and efficient train transportation.
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Describe how to simplify the expression (3^-6)/(3^-4). Answers: Divide the bases and then add the exponents. Keep the base the same and then add the exponents. Multiply the bases and then subtract the exponents. Keep the base the same and then subtract the exponents.
Answer:
Last option: Keep the base the same and then subtract the exponents.
Step-by-step explanation:
There is a property called "Quotient of power property".
This property states that if you need to divide two powers with the same base, you must keep the same base and subtract the exponents:
[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]
Then, you need to apply this property to the expression [tex]\frac{(3^{-6})}{(3^{-4})}[/tex] to simplify it.
Therefore, you get that the expression simplified is:
[tex]3^{(-6-(-4))}=3^{(-6+4)}=3^{-2}[/tex]
Answer:b
Step-by-step explanation:
Mean of the integers 8,-11,18,-8,-3
Answer:0.8, just add up and find the mean
First you add up all your numbers then you divide by how many numbers you have to get the mean.
Your answer would .8
Indicate a general rule for the nth term of the sequence when a1 = 5 and r = √3 .
an = (√3)(5)n + 1
an = (√3)(5)n - 1
an = (5)(√3)n - 1
an = (5)(√3)n + 1
the right answer is an=5(3)^(n-1)/2
Answer:
C. [tex]a_n=5\cdot (\sqrt{3})^{n-1}[/tex]
Step-by-step explanation:
We have been given that first term of a geometric sequence is 5 and common ratio is [tex]\sqrt{3}[/tex]. We are asked to find the general rule for the nth term of the sequence.
We know that a geometric sequence is in form [tex]a_n=a_1\cdot (r)^{n-1}[/tex], where,
[tex]a_n[/tex] = nth term of the sequence,
[tex]a_1[/tex] = 1st term of the sequence,
r = Common ratio,
n = Number of terms in sequence.
Upon substituting our given values in general form of geometric sequence, we will get:
[tex]a_n=5\cdot (\sqrt{3})^{n-1}[/tex]
Therefore, option C is the correct choice.