[tex](4 \times 2) + 2[/tex]
2x2x2+2=10. According to PEMDAS. You would multiply before you add so 2x2x2 equals 8 and then you add 2 more and you have 10
What is the probability of the outcome (not A)? a. 0.3 c. 0.8 b. 0.5 d. 0.15
Answer: b. 0.5
Step-by-step explanation:
We area given that the probability of outcomes A = 0.5
We know that for any event Q the probability of not getting Q is given by :-
[tex]P(Q)'=1-P(Q)[/tex]
Now, the probability of getting outcomes not A is given by :-
[tex]P(A)'=1-P(A)\\\\\Rightarrow\ P(A)' =1-0.5\\\\\Rightarrow\ P(A)' =0.5[/tex]
Hence option B is correct.
(this is multiple choice and i raised points make sure to EXPLAIN !)
whats the sum of f and g ?
f(x)=10-2x and g(x)=7x+5
a) (f+g)(x)=5+5x
b) (f+g)(x)=5+9x
c) (f+g)(x)=15+5x
d) (f+g)(x)=15+9x
Answer:
C
Step-by-step explanation:
Basically (f+g)(x) = f(x)+g(x).
Following this rule you combine like terms.
7x-2x=5x and 10+5 = 15.
Therefore the answer is C.
A new pencil was 18 cm long. Now it measures 12.7 cm. How many centimeters of the pencil have been used?
18-12.7, 5.3 centimeters have been used
Answer- 5.3 cm
Step-by-step explanation:
18-12.7
Write the following inequality in slope-intercept form. -12-2y>-42
I think the answer is y < 15, is this what your looking for?
Find the constant of variation k for the direct variation. 4x = -6(y)
Answer: [tex]k=-\frac{2}{3}[/tex]
Step-by-step explanation:
By definition, a direct varition is expressed as following:
[tex]y=kx[/tex]
Then, y is directly proportional to x and k is the constant of variation.
Therefore, given the direct variation:
[tex]4x=-6y[/tex]
You must solve for the variable y as you can see below:
[tex]4x=-6y\\\\y=-\frac{4}{6}x\\\\y=-\frac{2}{3}x[/tex]
Therefore, as you can see, the constant of variation is the following:
[tex]k=-\frac{2}{3}[/tex]
It took 5 people to clean a classroom in 4 hours. How long would it take 4 people? Please help
Answer:
3 hours
Step-by-step explanation:
Please help me I promise to mark briainlest!!!!!!
2. What is the Y intercept of the quadratic function f(x) =6x^2-3x+1 (
1 point)
A -3
B. 1/4
C. 1
D. 6
3. What is the axis of the symmetry of the quadratic function f(x) =4(x+9)^2-5 (1 point)
A. X=-9
B. X=9
C. X=-5
D. X=5
4. Rewrite f(x)=3x^2 +6x-72 In factored form. (1 point)
A. f(x)=3(x-6)(x+4)
B. f(x)=3(x+6)(x-4)
C. f(x)=3(x-8)(x+3)
D. f(x)=3(x+8)(x-3)
5. Rewrite f(x)=-2x^2+16x-11 In vertex form. (1 point)
A. f(x)=-2(x+4)^2+5
B. f(x)=-2(x-4)^2+5
C. f(x)=-2(x+4)^2+21
D. f(x)=-2(x-4)^2+21
Answer:
2.C
3.B
4.B
5.D
Step-by-step explanation:
2. the y intercept in this equation is the c value, which is 1 so the answer is c
3. The vertex of this function would be (9, -5) and the axis of symmetry is the first value so its 9, B
4. Not that hard, tip is to just distribute in all the answers and see which one gives you the original equation, it is B
5. You solve the original equation by completing the square, if you don't know how to do that look it up. Answer is D
The answers to all parts are shown below.
What is Intercept?In mathematics, an intercept is the point at which a line, curve or surface intersects a coordinate axis. In the case of a two-dimensional Cartesian coordinate system, intercepts of a line are where the line intersects either the x-axis (horizontal axis) or the y-axis (vertical axis). The x-intercept is the point at which the line intersects the x-axis, and the y-intercept is the p
1. The Y-intercept of the quadratic function f(x) = 6x² - 3x + 1 is the value of f(0), which is the value of the function when x = 0. Therefore, we have:
f(0) = 6(0)² - 3(0) + 1 = 1
So the Y-intercept of the function is 1.
2. The axis of symmetry of a quadratic function given in vertex form, f(x) = a(x - h)² + k, is the vertical line x = h.
Therefore, for the given quadratic function f(x) = 4(x + 9)² - 5, the vertex is at the point (-9, -5), and the axis of symmetry is the vertical line x = -9.
3. Now, we can write the quadratic function in factored form as:
f(x) = 3(x-(-8))(x-3)
= 3(x+8)(x-3)
Therefore, the answer is (D) f(x)=3(x+8)(x-3).
4. We can complete the square to rewrite the quadratic function in vertex form:
f(x) = -2x² + 16x - 11
f(x) = -2(x²- 8x + 11/2)
f(x) = -2(x²- 8x + 16 - 16 + 11/2)
f(x) = -2((x - 4)² - 21/2)
f(x) = -2(x - 4)² + 21
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At what points are the equation y=x^2 and 1/x+2 equal
Answer:
Brown, purple, Green and Red/Pink
Step-by-step explanation:
The equations are equal where they intersect on the graph. There are 4 points at which the to graphs intersect. They intersect at the points colored brown, purple, green and red.
A store gives away gift bags during a sale. Of these gift bags, 30% are green, 20% are yellow, and 50% are blue. The average number of items in each green bag is 10. The average number of items in each yellow bag is 5. The average number of items in each blue bag is 8. What is the average number of items in all the gift bags? Enter your answer as a decimal in the box.
Answer:
8 items per bad
Step-by-step explanation:
30% are green and hold an average of 10,
20% are yellow and hold an average of 5
50% are blue and hold an average of 8,
all together they hold an average of ...
[0.3(10) + 0.2(5) + 0.5(8)]
[ 3 + 1 + 4] = 8 items on average
Say there's 10 total gift bags given out, then
3 of them will be green, each with 10 items for a total of 30 items,
2 of them will be yellow, each with 5 items, for a total of 10 items,
5 of them will be blue, each with 8 items, for a total of 40 items.
All together there are 10 bags, and 80 items, for an average of
80/10 = 8 items per bag
These numbers will stay the same no matter how many bags are given out
To calculate the average number of items in all gift bags, the weighted average of items per color category based on their percentage distribution is computed, resulting in an overall average of 8 items per bag.
The question asks to calculate the average number of items in all the gift bags given the percentages of green, yellow, and blue bags and their respective average items. To find the overall average, we can weight each average by the percentage of bags of that color.
Here is the calculation:
(30% of 10 items) for green bags: 0.30 times 10 = 3(20% of 5 items) for yellow bags: 0.20 times 5 = 1(50% of 8 items) for blue bags: 0.50 times 8 = 4Summing these amounts gives us the overall average:
3 (from green bags) + 1 (from yellow bags) + 4 (from blue bags) = 8 items per bag on average.
NEED HELP ASAPP!!!!!!!!!!!!!!!!
The answers might be B and C.
Answer:
B and C
Step-by-step explanation:
B has 4 equal parts easy. C is a more reasonable answer because a has NO equal parts.
Jesse uses this expression to determine how much to pay, including tax and tip, when he goes out to a restaurant:
x(1 + 0.0825 + 0.18).
Part A
Identify the two factors of the expression.
Answer:
x is the price of the meal
(1+0.0825 + 0.18) is the total percentage on top of the price he pays with sales tax and tip.
Step-by-step explanation:
The factor x is the price of the meal. The factor (1 + 0.0825 + 0.18) is the 100% of the price, the sales tax on that price and the tip on the total. 1 + 0.0825 + 0.18 = 1.2625 is the total percentage he pays on the price. He pays 26.25% in addition of the price of the meal to cover tax and tip.
what does 1÷12 equal?
The fraction of 1/12 or .08333333
may somebody help me please.
Answer:
(4,-6)
Step-by-step explanation:
4x+y = 10
We know y = -6
Substitute it in
4x -6 = 10
Add 6 to each side
4x-6+6 = 10+6
4x =16
Divide by 4
4x/4 = 16/4
x =4
What graph are present a proportional relationship I ready
Answer: The second one
Step-by-step explanation:it's the second one because the line goes strait through the orign
You have direct deposit. Your job pays you $8.55/hr and you work 15 hr/wk. your deductions FICA (7.65%), federal tax withholding (10.4%), and state tax withholding (7.7%). how much is deposited bi weekly?
A) $190.45
B) $239.26
C) 200.10
D) $187.55
Answer:
Option A is correct answer.
Step-by-step explanation:
Per hour wage = $8.55
Number of hours in a week = 15
So, total pay of the week is = [tex]8.55\times15=128.25[/tex]
The biweekly salary becomes = [tex]128.25\times2=256.50[/tex]
Deductions are as follows:
FICA (7.65%), [tex]0.0765\times256.50=19.62[/tex]
Federal tax withholding (10.4%), [tex]0.104\times256.50=26.67[/tex]
State tax withholding (7.7%), [tex]0.077\times256.50=19.75[/tex]
Now adding all the deductions we get:
[tex]19.62+26.67+19.75=66.04[/tex]
Subtracting the deductions from the biweekly pay we have =
[tex]256.50-66.04[/tex]= $190.46
Close to option A. Hence, option A is correct.
what is the least number of acute angles of quadrilateral can have
Which linear equation describes the line passing through point (10,3) and has a y-intercept at (0,-1)?
Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:
C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]
The image shows a trapezoid ABCD that has been dilated to form a trapezoid A'B'C'D'. We need to determine which rule represents the dilation applied to trapezoid ABCD to create A'B'C'D'.
To find the rule, we can follow these steps:
1. Choose a Corresponding Point: Pick a point from the original figure and its corresponding point in the dilated figure.
2. Calculate Scale Factor: Determine the scale factor by comparing the distances of the chosen points from the origin.
3. Formulate the Rule: The rule for dilation with respect to the origin is given by [tex]\( (x, y) \to (kx, ky) \)[/tex], where [tex]\( k \)[/tex] is the scale factor.
Looking at the grid in the image:
- Point B has coordinates (-2, -3).
- Point B' has coordinates (-4, -6).
The coordinates of B' are exactly double those of B, indicating that every coordinate is scaled by a factor of 2. This fits the dilation rule of [tex]\( (x, y) \to (2x, 2y) \).[/tex]
Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:
C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]
This means the rule for the dilation is to multiply both the x and y coordinates by 2, which is the scale factor for the dilation.
Eight times the result of subtracting three from a number ?
the owner of an appliance store brought 15 washers at $279 each and 18 dryers at $229 each. How much did the dealer spend in all?
Simplify (−2)∙(2a−b)+3(a+b) PLz and Thanks
Answer:
-a+5b
Step-by-step explanation:
(-2)x(2a-b)+3(a+b)
Multiply
Remove Parenthesis
-2(2a-b)+3a+3b
Multiply parenthesis by -2
-4a+2b+3a+3b
collect like terms
-a+5b
Trigonometry please help #2 ASAP
1. cos (angle) = adjacent leg / hypotenuse
cos(50) = 10/X
x = 10/cos(50)
x = 15.6 feet
2.
tan(angle) = Opposite leg / adjacent leg
tan(5.5) = 600/x
x = 600/tan(5.5)
x = 6,231.2 feet.
Which equation represents a linear function?
Answer:
Option D) [tex]y=-3x+10[/tex]
Step-by-step explanation:
General form of linear function : [tex]y=mx+c[/tex]
Option A ) [tex]y=\frac{16}{x}[/tex]
Since this function cannot be represented as general form of linear function.
Thus it is not a linear function.
Option B)[tex]y=3x^2-1[/tex]
It is a quadratic function .
Option C) [tex]x=3[/tex]
Since this function cannot be represented as general form of linear function.
Thus it is not a linear function.
Option D) [tex]y=-3x+10[/tex]
Since it is represented in the general form of linear function.
So, [tex]y=-3x+10[/tex] is a linear function.
A linear function is represented by an equation of the form y = mx + b, where 'm' is the slope and 'b' is the y-intercept. It is called linear because its graph forms a straight line.
Explanation:In mathematics, a linear function is a function that has a graph in the shape of a straight line. This means it follows a consistent rate of change, often represented by the slope of the line (known as 'm' in an equation). An example of an equation that represents a linear function is:
y = mx + b
Where:
'y' is the dependent variable, 'm' is the slope of the line, 'x' is the independent variable, and 'b' is the y-intercept. Learn more about Linear function here:
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please help me! I need to find what the measure of angle VTS is
➷ Adjacent angles total to 180 degrees
15x + 1 + 13x + 3 + 64 = 180
28x + 68 = 180
Subtract 68 from both sides:
18x = 112
Divide both sides by 28:
x = 4
Substitute this value back in:
15(4) + 1 = 61
Angle VTS = 61 degrees
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
The angles in a triangle are equal to 180 degrees
Keeping in mind alternate angles are always equal we can say that ∠TVU=∠VTS
So we can find ∠TVU which is equal to [tex]15x+1[/tex]
In order to find the angle we need the value of x
[tex]13x+3+15x+1+64=180[/tex]
Simplify
[tex]28x+68=180[/tex]
Isolate x
[tex]28x=180-64\\28x=112\\x=\frac{112}{28}\\x=4[/tex]
Now that we have the value of x we can substitute in [tex]15x+1[/tex]
[tex]15(4)+1\\=60+1\\=61[/tex]
With ∠TVU being 61 degrees, ∠VTS is also 61 degrees as they are alternate angles
Hope this helps :)
If you need further help, just let me know, I would be happy to help :)
Reduce the fraction to lowest terms m^2/m^2-n^2
Answer:
[tex]\boxed{\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}}[/tex]
Step-by-step explanation:
Factor [tex]\bold{m^2-n^2}[/tex]
[tex]\bold{\left(m+n\right)\left(m-n\right)}[/tex]
Rewrite Equation
[tex]\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}[/tex]
Answer:
[tex]\frac{m^2}{(m+n)(m-n)}[/tex]
Step-by-step explanation:
Here we have to simplify the denominator of the expression given in the question.
We will use the formula for
Difference of the squares which us given as under
[tex]a^2-b^2=(a+b)(a-b)[/tex]
Let us now simplify the denominator
[tex]m^2-n^2=(m+n)(m-n)[/tex]
Hence
Our answer is
[tex]\frac{m^2}{(m+n)(m-n)}[/tex]
Help me please assap
Answer: G
Step-by-step explanation:
(x, y) → ([tex]\frac{1}{8}x[/tex], [tex]\frac{1}{8}y[/tex])
means that the new quadrilateral will be [tex]\frac{1}{8}[/tex] the size of the original quadrilateral, so it will be smaller because the it maps to a fraction that is less than 1.
A line has a rise of 6 and a slope of . What is the run? 30 90 120
Answer:
There's not enough information here to complete this problem.
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
i got it right i took the lesson
Is that right?
7x3=21
21+5=26
Answer:
yes
Step-by-step explanation:
the correct answer is 2 after rounding it off to the nearest number
what is the volume of a cyclinder with radius 4 and height 13
Answer:
117π or 367.56634047
Step-by-step explanation:
Volume = π × r² × h (r=radius and h=height)
Volume = π × 4² × 13
Volume = π × 9 × 13
Volume = π × 117
Volume = 117π
Write an inequality for the given graph.
Answer:
[tex]y<0.5x-3[/tex]
Step-by-step explanation:
Find the equation of the dashed line
The line pass through the points
[tex]A(0,-3)[/tex] -----> is the y-intercept of the line
[tex]B(6,0)[/tex]
Find the slope of the line m
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{0+3}{6-0}=0.5[/tex]
Remember that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=0.5[/tex]
[tex]b=-3[/tex]
substitute
[tex]y=0.5x-3[/tex]
Find the inequality
we know that
The solution of the inequality is the shaded area below the dashed line
so
[tex]y<0.5x-3[/tex]
625 / 2500 simplified?
Answer:1/4
Step-by-step explanation:
- Divide the numerator and the denominator by 625
- Divide the numbers
- YOUR FINAL ANSWER
Hope I was able to satisfy your needs
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{625}{2500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{125}{500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{25}{100}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{5}{20}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{1}{4}[/tex]
or
divide [tex]\frac{625}{2500}[/tex] by 625 numerator and denominator and get the same answer, [tex]\frac{1}{4}[/tex]
the slash[ / ]means to divide
plz give a brainliestttt