Answer:
3/4 cup is also an equivalent fraction for 6/8
Step-by-step explanation:
Ebony is saving for the new PlayStation game console that has a cost of $546.40 after tax. Currently she has
$216.40 saved, and she plans to earn $55 each week babysitting,
Which inequality can be used to determine the minimum number of weeks she must babysit in order to
pay for the game console?
Answer:
6 weeks
Step-by-step explanation:
3 + x, when the value of x is 15
Answer:
The answer is 18
Step-by-step explanation:
If you add 15 to 3 then you get 18
Hope this helps!!! :)
Answer:
x= -15
Step-by-step explanation:
I hope it's help you
Zahin has 4/6
kg of rice. She divides it into 5 equal portions to cook for dinner. How much rice, in kilograms, does she use to cook one portion for dinner?
fraction word problem
Answer:
2/15 or 0.13
Step-by-step explanation:
first you multiply 2/3 and 1/5 which gets you 2/15
f(x)=x3 −4x even odd or neither
Answer:
The function would be odd
The answer is neither.
Let's take an odd number and substitute.
f(3) = 3³ - 4(3)f(3) = 27 - 12f(3) = 15 (odd)Now, let's take an even number.
f(4) = 4³ - 4(4)f(4) = 64 - 16f(4) = 48 (even)Since both even and odd numbers are possible, it is neither.
11. Which one of the following is unique? b. mode a. Mean c. Median d. A and B
Among the mean, mode, and median, the unique one is the b. mode.
What is the mode?The mode is the data value that occurs many times more than other data values.
Unlike the mean that shows the average value of all the data values, the mode occurs more. While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.
Similarly, the median can be computed when two values occur as the middle values.
Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.
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) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
O U N U Size of Cryst.
Answer:
They can occur for various reasons, and they may need different treatments.
Step-by-step explanation:
If I worked from 2:30pm to 7:00pm. How many hours did work?
Answer:
4.5 hours
Step-by-step explanation:
fbdjdbercyTxxivdu
Answer:
Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.
I am stumped >:( ahhhhhhh
Answer:
\(\frac{1}{32} yards^{3}\)
Step-by-step explanation:
\(V=w*h*l\)
↓
\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)
=
\(\frac{1}{32} yards^{3}\\\)
Hope this helps!
What is the total weight of the bags that weighed /8 pound each?
The total weight of Rice that Mark buys is given as follows:
2.5 pounds.
How to obtain the total weight?The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.
The weight of each bag is given as follows:
5/8 pounds = 0.625 pounds.
The number of bags is given as follows:
4 bags.
Hence the total weight of Rice that Mark buys is given as follows:
4 x 0.625 = 2.5 pounds.
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Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,
-4) and (3,8)
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,
-4) and (3,8)
Answer:
13 units
Step-by-step explanation:
(8, -4) and (3,8)
To find the distance of two points, we use the distance formula:
\(d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }\)
Let's plug in what we know.
\(d = \sqrt{(3 -8)^2 + (8 - (-4))^2 }\)
Evaluate the double negative.
\(d = \sqrt{(3 -8)^2 + (8 + 4)^2 }\)
Evaluate the parentheses.
\(d = \sqrt{(-5)^2 + (12)^2 }\)
Evaluate the exponents.
\(d = \sqrt{(25) + (144) }\)
Add.
\(d = \sqrt{(169)}\)
Evaluate the square root.
\(d = 13\)
13 units
Hope this helps!
Answer:
12
Step-by-step explanation:
a⋅(a+b)= c⋅(c + d) formula
9⋅(9+x)= 3⋅(3+60)
81+9x=3(63)
81+9x=189
-81 -81
9x=108
x=12
A manufacturer has 8 2/3 ounces of a beauty product in a container. The manufacturer fills 1/2-ounce bottles with the product. How many 1/2-ounce bottles can they fill?
Based on the proportionate ratio, the manufacturer can fill up to 17 full bottle and another half bottle.
From the case, we know that:
Total product = 8 2/3 = 8.667 ounces
Bottle capacity = 1/2 ounce = 0.5 ounces
To find the number of bottles thay can fill, we need to use the proportionate ratio between the total product and the bottle capacity:
Numbers of bottle = Total product : Bottle capacity
Numbers of bottle = 8.667 : 0.5
Numbers of bottle = 17.34 bottle
Based on our calculation, it shows that the manufacturer can fulfilled 17 bottle and another half-filled bottle.
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what is the area of this figure
Answer:
Hello! answer: 10
Step-by-step explanation:
Formula for area of squares: base × height
Formula for area of triangles: base × height ÷ 2
2 × 2 = 4
2 × 2 ÷ 2 = 2
4 × 2 ÷ 2 = 4
4 + 2 + 4 = 10 therefore the area is 10 hope that helps!
A local zoo had 750 visitors on Saturday. If 20% of the guests traveled from out of town,. how many local guests visited the zoo on Saturday?
Please answer fast getting late, last two questions due tomorrow!
Unite: Rates and percents
The number of local guests that visited the zoo on Saturday is given as follows:
600 local guests.
How to obtain the number of guests?The number of guests is obtained applying the proportions in the context of the problem.
20% of the guests traveled from out of town, hence the percentage of local guests is given as follows:
100 - 20 = 80%.
Out of a total of 750 visitors, the number of local guests that visited the zoo on Saturday is obtained as follows:
0.8 x 750 = 600 local guests.
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Select the correct expanded form for (Two-thirds) Superscript 4.
Two-thirds times two-thirds times two-thirds times two-thirds
Two-thirds times two-thirds times two-thirds
Two-thirds + two-thirds + two-thirds + two-thirds
Two-thirds times 4
The correct expanded form using Laws of exponents is:
Two-thirds times two-thirds times two-thirds times two-thirds
How to use laws of exponents?Some of the laws of exponents are:
1) When multiplying like bases, keep the base the same and add the exponents.
2) When raising a base with a power to another power, keep the base the same and multiply the exponents.
3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.
Now, we want to solve the expression given as: (²/₃)⁴
When we expend this, we arrive at:
²/₃ × ²/₃ × ²/₃ × ²/₃
This among the options is Option A which is:
Two-thirds times two-thirds times two-thirds times two-thirds
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8. There are three exams in a marking period. A student received grades of 75 and 81 on the first two exams. What grade must the student earn on the last exam to get an average of no less than 80 for the making period?
Answer:
84 and more
Step-by-step explanation:
84+81+75
=240
240/3
=80
6x ( 2/3 divided by 2)+ 0.5
Answer:
2.5
Step-by-step explanation:
Given expression:
\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)
Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.
When dividing a fraction by a whole number, first covert the whole number into a fraction:
\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)
When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:
\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)
\(\implies 6 \times \dfrac{2}{6}+0.5\)
Now carry out the multiplication:
\(\implies \dfrac{6 \times2}{6}+0.5\)
\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)
\(\implies 2+0.5\)
Finally carry out the addition:
\(\implies 2.5\)
2.5
6*(2/3)/2 + 0.5
6*1/3 + 0.5
2 + 0.5
=2.5
.45 is 1/10 of what?
Answer:
The answer is 4.5
What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations
The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.
To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.
Add the square of half of the coefficient of x to both sides of the equation:
x² + 2x + (2/2)² = 319 + (2/2)²
x² + 2x + 1 = 320
The left-hand side of the equation can now be factored as a perfect square:
(x+1)² = 320
This is the equation in the form (x+a)²=b, where a=1 and b=320.
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The complete question is as follows:
What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?
x² + 2x = 319
On a piece of paper, graph f(x) = (4x≤3. Then determine which answer
12 if x > 3
choice matches the graph you drew.
The graph of the piecewise function is the one in option D-
Which one is the graph of f(x)?First, we know that:
f(x) = 4 when x ≤ 3
So, we want to have a horizontal line in the left side of the graph, such that it ends in a closed circle at x = 3 (we need to have a closed circle because the symbol ≤ is used).
From the given graphs, the only one with that form is D.
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If F(x) = 2X -10, what is f(4)?
Answer:
f(4)=-2
Step-by-step explanation:
Plug in 4 into the equation. f(4)= 2(4)-10 then simplify the equation. Multiply 2 by 4, then subtract 10.
30 POINTS PLS HELP
The slope of the linear function y= 5/4x +1/2 is changed to 5/8 where y= 5/8x + 1/2. Identify the transformation required to produce the new slope, state the equation of the transformed function, ande explainw hat the graph of the tranfsformed line look like.
Here is the picture of the question
Answer:
We proceed to use the following operations: (i) Vertical translation downwards (\(k = -\frac{1}{2}\)), (ii) Vertical compression (\(c = \frac{1}{2}\)), (iii) Vertical translation upwards (\(k = \frac{1}{2}\)). The graph is presented below.
Step-by-step explanation:
To transform \(y = \frac{5}{4}\cdot x + \frac{1}{2}\) into \(y = \frac{5}{8}\cdot x + \frac{1}{2}\), we apply the following steps:
(i) Vertical translation downwards (\(k = -\frac{1}{2}\))
\(g(x) = f(x) +k\) (1)
(ii) Vertical compression (\(c = \frac{1}{2}\))
\(g(x) = c\cdot f(x)\) (2)
(iii) Vertical translation upwards (\(k = \frac{1}{2}\))
\(g(x) = f(x) + k\)
Now, we proceed to transform the primitive expression:
Step 1
\(f'(x) = \frac{5}{4}\cdot x\)
Step 2
\(f''(x) = \frac{5}{8}\cdot x\)
Step 3
\(g(x) = \frac{5}{8}\cdot x + \frac{1}{2}\)
The graph of both function are now presented below. The parent function is the red line and the new function is represented by the blue line.
Find two consecutive whole numbers that 29 lies between.
Answer:
28 and 30
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
If f (x) =2x^3 + 2x -3 and g(x) = -0.5 |x-4|. What is the value for f(x) = g (x) ?
A. X = 0
B. X = -1.75
C. X = 4
D. X = 0.5
Answer:
D. x = 0.5
Step-by-step explanation:
A graphing calculator is the quickest way to get to an answer here.
f(x) = g(x) for x = 0.5
__
We can find the y-intercepts of the two functions to be ...
f(0) = -3
g(0) = -2
We know the x-intercept of g(x) is x=4. The x-intercept of f(x) will be a value less than 1, because f(1) = 1. (The function crosses the x-axis between x=0 where f(x) < 0 and x=1, where f(x) > 0.)
Considering these intercept points, we know the value of x for f(x)=g(x) will be between x=0 and x=1. There is only one answer choice in that interval:
x = 0.5
Given tan θ = 2 and sin θ < 0. Find cos(θ +pi/4)
Answer:
√10 / 10
Step-by-step explanation:
tan θ > 0 and sin θ < 0, so θ is in quadrant III. That means cos θ < 0.
cos(θ + π/4)
Use angle sum formula.
cos θ cos(π/4) − sin θ sin(π/4)
½√2 cos θ − ½√2 sin θ
Factor.
½√2 cos θ (1 − tan θ)
½√2 cos θ (1 − 2)
-½√2 cos θ
Write in terms of secant.
-½√2 / sec θ
Use Pythagorean identity (remember that cos θ < 0).
-½√2 / -√(1 + tan²θ)
-½√2 / -√(1 + 2²)
½√2 / √5
√10 / 10
C = ?
when d = 25 m.
(C = circumference)
(d = diameter)
Answer:
12.5m
Step-by-step explanation:
I don't wanna type it lmco (laughing my cheeks off)
Need Help!!!! A pre-image has coordinates J(3, -6) and K(-1, -2). The image has coordinates J'(6, 3) and K'(2, -1). Describe the clockwise rotational path of the line segment.
After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.
So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)
The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.
The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:
Midpoint of JK: (1, -4)
Midpoint of J'K': (4, 1)
The slope of the vector: 3/5
(x₁ + x₂)/2, (y₁ + y₂) /2
Point-slope formula: y - y₁ = m(x - x₁)
Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)
Applying simplification , we get: y = (- 3/5)x - 1.2
To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:
y - 1 = (7/3)( x - 4)
Apply simplification , we get: y = (7/3)x - 17/3
To evaluate the intersection point, we can solve the system of equations:
y =(- 3/5)x - 1.2 = (7/3)x - 17/3
Evaluating for x and y, we get x = -6 and y = -1.
Therefore, the center of rotation is (-6, -1).
√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)
Distance between image points and center of rotation
√( ( 6 - (-6))² + ( 3 - (-1))² = 13
The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).
The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':
Angle of vector: arctan(5/3) = 59.04 degrees
Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
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Solve for measure of angle a.
55°
a = [?]°
25° ат
Check the picture below.
The circumference of a roll of party streamers is 11 inches. The circumference decreases by 3 inches after you use the streamers to decorate for a birthday party. Find the diameter of the roll after the decrease. Round your answer to the nearest hundredth.
Answer:
2.55
Step-by-step explanation:
First take 11 and subtract it by 3 to get 8.
Then divide it by 3.14 and get 2.547770701...
After that round it to 2.55
Consider the function f(x)=x−5ln(x), 1/5≤x≤10.
The absolute maximum value is =
and this occurs at x equals =
The absolute minimum value is =
and this occurs at x equals =
f(x) = x - 5 ln(x)
Get the derivative:
f'(x) = 1 - 5/x
Find the critical points:
• f'(x) = 1 - 5/x = 0 -> 5/x = 1 -> x = 5
• f'(x) is undefined for x = 0, but that's outside the domain of f(x)
Get the second derivative:
f''(x) = 5/x ^2
Check the sign of the second derivative at the critical point x = 5:
f'' (5) = 5/5^2 = 5/25 = 1/5 > 0
Since the second derivative is positive at this point, this means x = 5 is a local minimum.
Check the value of f(x) at the critical point as well as the endpoints of the given domain:
f (5) = 5 - 5 ln(5) ≈ -3.407
f (1/5) = 1/5 - 5 ln(1/5) ≈ 1.809
f (10) = 10 - 5 ln(10) ≈ -1.513
So we have
• absolute maximum = 1/5 - 5 ln(1/5) at x = 1/5
• absolute minimum = 5 - 5 ln(5) at x = 5
The absolute maximum value is f(5)=5−5ln(5), and this occurs at x equals 5
The absolute minimum value is f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5
Given the function f(x)=x−5ln(x),
We are to find the absolute minimum and maximum value of the function
At the turning point f'(x) = x - 5ln(x)
f'(x) = 1 - 5/x
0 = 1 - 5/x
-5/x = -1
-x = -5
x = 5
Find the second derivative of the function;
f''(x) = -5/x²
Substitute the value of x = 5 into the second derivative function to have:
f''(5) = -5/5² = 1/5
Since f''(5) = 1/5 < 0, this is the local maximum and the point x = 5 is the absolute minimum
The absolute maximum value is f(5)=5−5ln(5), and this occurs at x equals 5
The absolute minimum value is f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5
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