A 106.7 GPA into weighted form like on the 4.0 scale will be 4.26.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
As 106.7 out of 100 gives 106.7% calculated below:
Percentage formula = (Obtained value/total value) x 100.......eq(1)
Putting values:
= (106.7/100) x 100
= 106.7%
Now finding 106.7% of 4:
Putting values in eq (1):
106.7% = (Obtained value/4) x 100
106.7/100= (Obtained value/4)
1.067= (Obtained value/4)
4 x 1.067 = Obtained value
4.268 = Obtained value
Then 106.7% of 4 will be equal to 1.067 x 4 = 4.268
A 106.7 GPA into weighted form like on the 4.0 scale will be 4.26.
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one phone company charged 65% of its normal long-distance rate after 5 p.m. A day-rate long-distance call from Houston to Chicago costs 20 cents per minute. How much is an 11-minute call between these two cities after 5 p.m. ?
The cost of 11-minute call between these two cities after 5 p.m is: 142.
CostGiven:
Charges for long distance=65% or .65
Cost=20 cents per minutes
Number of call minutes=11 minutes
Hence:
Cost =20 cents ×11 minutes times 0.65
Cost =143 cents
Therefore the cost of 11-minute call between these two cities after 5 p.m is: 142.
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Denise and Stacey went to a carnival. The admission fee was $6 per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3 games, while Denise played 2 games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival?
The total amount of money that Denise and Stacey spent at the carnival is 12 + 14c + 5g dollars.
What is total amount?
The amount that you get when you add several numbers or things together.
The total amount of money that Denise and Stacey spent at the carnival will be money spent on admission + ride + game.
Total amount = 2 * 6 + 2 ( 7 * c ) + ( 3 * g + 2 * g )
= 2 * 6 + 14 * c + 5 * g
= 12 + 14c + 5g dollars.
Therefore, the total amount of money that Denise and Stacey spent at the carnival is 12 + 14c + 5g dollars.
The questions seems incomplete, its option could be:
12 + 14c + 5g 12 + 14g + 5c 12 + 7g + 5c 12 + 7c + 5g.
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Christina knits a scarf for each of her 7 friends. Altogether, the scarfs had a total length of 39.9 ft. if each scarf has the same length. how long was each scarf? write answer in inches
The length of each scarf knitted for the 7 friends given the total length of the scarf altogether is 5.7 ft
Length of each scarfNumber of friends = 7Total length of scarf = 39.9 ftLength of each scarf = Total length of scarf / Number of friends
= 39.9 ft / 7
= 5.7 ft
Therefore, the length of each scarf knitted for the 7 friends given the total length of the scarf altogether is 5.7 ft
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PLEASE HELP ASAP PLEASEEEEEEE PLEASEEEEEEEEE EASY 20 POINTS
The transformation of a function may involve any change. The function with the graph are given below.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)Right shift by c units: y=f(x-c)(same output, but c units late)Vertical shift:
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f\left(\dfrac{x}{k}\right)The real graph of the function is f(x)=x², now if the graph of the given function can be found by using the transformation rule as shown above. The function with the graph are given below.
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What is the solution to this equation? 2ln4+lnx=3ln2+ln(x+1)
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Given equation:
[tex]2 \ln 4+\ln x=3 \ln 2+\ln(x+1)[/tex]
[tex]\textsf{Apply the power law}: \quad n \ln x = \ln x^n[/tex]
[tex]\implies \ln 4^2+\ln x=\ln 2^3+\ln(x+1)[/tex]
Simplify:
[tex]\implies \ln 16+\ln x=\ln 8+\ln(x+1)[/tex]
Subtract ln 8 from both sides:
[tex]\implies \ln 16+\ln x- \ln 8=\ln(x+1)[/tex]
Subtract ln x from both sides:
[tex]\implies \ln 16-\ln 8=\ln(x+1)-\ln x[/tex]
[tex]\textsf{Apply the quotient law}: \quad \ln x - \ln y = \ln \frac{x}{y}[/tex]
[tex]\implies \ln \left\dfrac{16}{8}\right = \ln \left(\dfrac{x+1}{x}\right)[/tex]
Simplify:
[tex]\implies \ln 2 = \ln \left(\dfrac{x+1}{x}\right)[/tex]
[tex]\textsf{Apply the equality law}: \quad \textsf{if }\: \ln x= \ln y\:\textsf{ then }\:x=y[/tex]
[tex]\implies 2=\dfrac{x+1}{x}[/tex]
Multiply both sides by x:
[tex]\implies 2x=x+1[/tex]
Subtract x from both sides:
[tex]\implies x=1[/tex]
A car travels at 80 km an hour. How far will it travel in 2 1/2 hours?
Please help it is 10th grade Equations of lines and circles 7. Michael is hanging out in the park and needs to keep his so
a. If Michael is standing at the coordinate (5, 2), and each unit represents a foot, what
equation could be used to show the proper social distance needed?
-6-5 -3-2
12 3456
b. If Jake is standing on the coordinate (1, 1), are the two friends properly distanced?
2
45
Step-by-step explanation:
1) the required equation in common form is:
(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates, where Michael is standing; r - the social distance;
According to the common form and given coordinates (x₀=-5; y₀=2; r=6) it is possible to make up the required equation:
(x+5)²+(y-2)²=6².
2) if the distance between two friends is:
[tex]d=\sqrt{(-5-1)^2+(2-1)^2}=\sqrt{37}, \ then[/tex]
this distance is longer than social (6 ft). For more info see the attachment.
Need help please answer!!!
It can be modeled by an exponential function because each time x increases by 1, f(x) is multiplied by 4.
This means the base of the exponential function is 4, and since f(x)=3 when x=0, [tex]f(x)=3(4)^{x}[/tex]
Find two functions f(x) and g(x) such that h(x) = ( f∘ g)(x) , if h(x) = √ + 5
f(x) = ____________________
g(x) = ____________________
If we know that h(x) = (f ° g) (x) = √x + 5, then f(x) = x + 5 and g(x) = √x by applying the binary operation of composition between two functions.
How to find the two functions behind a composed function
Let be f and g two functions, h is a composition of f with respect to g when the input variable of f is equal to g. The composed function is h(x) = √x + 5 and there may be more than a solution. One of these solutions are f(x) = x + 5 and g(x) = √x.
If we know that h(x) = (f ° g) (x) = √x + 5, then f(x) = x + 5 and g(x) = √x by applying the binary operation of composition between two functions.
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Briana monitors the number of E. coli infections reported in a certain
neighborhood in a given week. The recent numbers are shown in
this table:
According to her reports, the reported infections are growing at a
rate of 50%.
If the number of infections continues to grow exponentially,what
will the number of infections be in week 6?
An equation is formed of two equal expressions. The number of infections in 6 weeks is 456.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The general equation of an exponential function is written as,
y = A(B)ˣ
Since the infection is increasing at a rate of 50%, therefore, the rate of growth will be,
B = 1.50
Substitute any value then we will get,
40 = A(1.50)⁰
A = 40
Thus, the exponential equation of the growth will be,
y = 40(1.50)ˣ
Now, the number of infections in 6 weeks will be,
y = 40(1.50)⁶
y = 455.625 ≈ 456
Hence, the number of infections in 6 weeks is 456.
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42+48/6=?
48/6 meaning a fraction not division
Answer:
50
Step-by-step explanation:
Fractions are division problems. :) You have to complete that first to solve the equation (PEMDAS).
48/6 = 8
42 + 8 = 50
Tim earns 96pounds for 16 hours. Tim earns 'time and a half' for overtime. he works 4 hours of overtime in addition to his normal 16 hours. how much does he earn altogether
find hourly rate:
96 / 16 = 6 pounds per hour
6 x 1.5 = 9 pounds per hour for overtime.
9 x 4 = 36 pounds
96 + 36 = 132 pounds total
Question 2 of 11
What system of equations would you use to solve the problem below?
A test is worth 100 points. Multiple-choice questions are worth 3 points and
short-answer questions are worth 5 points. If the test has 28 questions, how
many multiple-choice questions are there?
If the number of multiple-choice questions is x and the number of short answer questions is y, then:
[tex]x+y=28\\\\3x+5y=100[/tex]
Genesis throws a ball up in the air. The graph below shows the height of the ball hh in meters after tt seconds. Find the interval for which the ball’s height is decreasing.
help please
We conclude that the interval in which the function decreases is (1.5, 3]
In which interval is the ball's height decreasing?
The ball is decreasing when the graph, reading from left to right, is going downwards.
Particularly, in this parabola that opens downwards, the graph will decrease after the vertex.
And we can see that the vertex is at x = 1.5
And we also see that the graph of the function ends at x = 3.
Then we conclude that the interval in which the function decreases is (1.5, 3]
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What is the surface area of the figure? 9 ft 9 ft 15 ft 15 ft 4 ft
The surface area of the given composite figure is; 528 ft²
How to find the area of a composite figure?To get the surface area of the attached composite shape, we will have to break the object down into smaller shapes to get;
Surface area 1 = 2(15 * 4) = 120 ft²
Surface area 2 = 2(9 * 4) = 72 ft²
Surface area 3 = 2(6 * 4) = 48 ft²
Surface area 4 = 2((15 * 15) - (9 * 9)) = 288 ft²
Thus;
Total surface area = 120 + 72 + 48 + 288
Total surface area = 528 ft²
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Select the correct answer. Consider this function. Which graph represents the inverse of function f? The linear function on a coordinate plane passes through (4, 3), and (2, 2) which intercepts the axis at (0, 1), and (minus 2, 0). W. The linear function on a coordinate plane passes through (minus 4, 4), and (2, 1) which intercepts the axis at (4, 0), and (0, 2). X. The linear function on a coordinate plane passes through (3, 4), and (minus 1, minus 4) which intercepts the axis at (1, 0), and (0, minus 2). Y. The linear function on a coordinate plane passes through (minus 1, 4), and (2, minus 2) which intercepts the axis at (0, 2), and (0, 1). Z. A. W B. X C. Z D. Y
Answer:
A , C , D , i thinks it another one but ionk
Step-by-step explanation:
What are the possible values of x in 8x² + 4x=-1? OA 2+1√2 3 -1±i 16 SOB. OC -1t с. 4 OD. 11 4 OE. 1ti√2 1+1/2 4 What are the possible values of x in 8x² + 4x = -1 ? OA 2 + 1√2 3 -1 ± i 16 SOB . OC -1t с . 4 OD . 11 4 OE . 1ti√2 1 + 1 / 2 4
Answer:
4
Step-by-step explanation:
4
The possible values of x are:
x = -1/2 + i/2
x = -1/2 - i/2
What is a quadratic equation?A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.
To find the possible values of x in equation 8x² + 4x = -1, we need to solve for x.
First, we can rearrange the equation to get:
8x² + 4x + 1 = 0
We can solve this quadratic equation using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation in standard form (ax² + bx + c).
In this case, a = 8, b = 4, and c = 1. Substituting these values into the quadratic formula, we get:
x = (-4 ± √(4² - 4(8)(1))) / 2(8)
x = (-4 ± √(16 - 32)) / 16
x = (-4 ± √(-16)) / 16
x = (-4 ± 4i) / 16
where i is the imaginary unit, which is defined as the square root of -1.
Therefore, the possible values of x are:
x = (-4 + 4i) / 16
x = (-4 - 4i) / 16
These values can also be simplified as:
x = -1/2 + i/2
x = -1/2 - i/2
So the possible values of x are complex numbers, specifically x = -1/2 ± i/2.
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Can somebody help me
Step-by-step explanation:
first function, f(x) = 5x-3 goes with option B
2nd function, 4- 4x goes with option A
3rd function goes with option D
4th goes with option C
Which is the graph of 2x - 4y > 6?
-4 -2
2
-2
2
RUTA
4-2
414
2
O
W
4 -4-2
414
2
-2
O
2
RY
4
-2
2
211
Answer:
(d) see attached
Step-by-step explanation:
There are a couple of quick checks you can do to identify the correct graph.
__
shading and line styleFind a variable with a positive coefficient, and write that in the given relation to the inequality symbol:
x >
This tells you ...
shading is to the right of the line (where x-values are greater)the line is dashed (the = case is not included)location of the lineThe x-coefficient is a factor of the constant, so the x-intercept of the boundary line is easily found. Set y=0, and you have ...
2x = 6
x = 3
The boundary line you're looking for has an x-intercept at x=3.
__
The correct graph is shown in the attachment.
If f(n)= n²-n, then f(-4) is
O-20
12
-12
20
Answer: 20
Step-by-step explanation:
f(-4) = -4² - (-4)
f(-4) = 16 + 4
f(-4) = 20
Solve for x in the triangle. Round your answer to the nearest tenth.
14
x
68
X
Answer:
x=15.1
Step-by-step explanation:
Side definitionsIn a right triangle, the side across from the right angle is always the hypotenuse.
The other two sides are termed "legs".
Once one of the other two angles is chosen as the angle to work from, then the two legs can be defined as the "opposite" and the "adjacent"
The leg touching the angle is the "adjacent" leg (or adjacent side), and the leg across from the angle is the "opposite" leg (or opposite side).
Trigonometric function definitions[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]
[tex]\cos(\theta)=\dfrac{\text{adjacent side}}{\text{hypotenuse}}[/tex]
[tex]\tan(\theta)=\dfrac{\text{opposite side}}{\text{adjacent side}}[/tex]
In this situation, the given angle is in the bottom right. A value is given for the side opposite the given angle, and the requested value is on the hypotenuse.
So, the two sides of interest are the "opposite" and the "hypotenuse". The trigonometric function that relates these two sides is the sine function.
Calculating x[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]
[tex]\sin(68^o)=\dfrac{(14)}{(x)}[/tex]
Evaluating the sine function in a calculator (in degree mode):
[tex]0.9271838546...=\dfrac{14}{x}[/tex]
Multiply both sides by x:
[tex](0.9271838546...)x=\left (\dfrac{14}{x} \right)x[/tex]
[tex](0.9271838546...)x=14[/tex]
Divide both sides by the decimal number:
[tex]\left (\dfrac{(0.9271838546...)x}{0.9271838546...} \right)=\dfrac{14}{0.9271838546...}[/tex]
[tex]x=15.0994864...[/tex]
Rounded to the nearest tenth, x=15.1
Pls help why did she flip the sign i dont understand
Answer:
See below
Step-by-step explanation:
When you multiply or divide both sides of an inquality equation by a NEGATIVE number , it reverses the symbol to see this in action:
- 4n >36 Instead of dividing by -4 let's ADD - 4n to both sides
0 > 36 + 4n now SUBTRACT 36 from both sides
-36 > 4n re-arrange just a little
4n < -36 <======== see how the symbol has reversed ???
n < -9
Hii!
___________________________________________________________
Answer:
'Cause both sides were divided by a negative number! ^^
Step-by-step explanation:
The sign of the inequality was flipped because you divided both sides of the inequality by -4, which is a negative number.
When we divide, or multiply, both sides of an inequality by a negative number, we flip the inequality sign.
--
Hope that this helped! Best wishes.
--
A pattern has 38 black squares to every 24 red squares. What is the ratio of black squares to red squares?
Step-by-step explanation:
the answer is 38/24 so the final answer is 19/12
which relation describes the graph?
Answer:
A.
Step-by-step explanation:
The other graphs answers have a point at (3, 1) which is not on the graph.
Find the value below using your calculator. Round to the nearest hundredth. e³ Find the value below using your calculator . Round to the nearest hundredth . e³
The value of e³ = 20.079.
What is Euler's number , e ?e is an irrational number , It is a numerical constant used in mathematical constant .
The value of e = 2.718
It is asked in the question to determine the value of e³
Therefore
e³ = ( 2.718)³
e³ = 20.079
Therefore the value of e³ = 20.079.
The image of the calculation is attached with the answer.
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find the x intercepts of the following linear function 3x-5y=-15
Answer:
(-5, 0)
Step-by-step explanation:
The y value of an x intercept is always 0. Therefore, we can substitute 0 for y in the equation to find the x intercept:
3x - 5(0) = -15
3x = -15
x = -5
The x intercept is (-5, 0)
pls someone help me asap
Answer:
Area: 15.53 square inches
Perimeter: 15.71 inches
Step-by-step explanation:
Area:
So the area of the rectangle is pretty easy to find and is just the width * height. In this case it's 4 * 3 which is 12. Now the area of a circle is [tex]\pi r^2[/tex]. But since this is a semi circle it's half of that which is [tex]\frac{\pi r^2}{2}[/tex]. The diameter of the semicircle is 3 as it sits on top of the rectangle. The radius is half of the diameter so the radius is 1.5. Now plug that into the equation and you get [tex]\frac{(3.14) (1.5)^2}{2} = 3.5325[/tex]. Now add that to 12 and you get 15.5325. Round that number to the nearest hundredth and you get 15.53. So that's the area.
Perimeter:
Pi is the ratio of any circle's circumference to the diameter. Or in other words the circumference is equal to the diameter * 3.14. The diameter is 3 which you multiply by 3.14 to get the circumference of a circle. This will get you 9.42 but since it's a semicircle, the circumference is half of this value which is 4.71. The perimeter of the rectangle is just 2 times the width + 2 times the height. This is not completely the case in this shape since one of the sides of the rectangle is not a side of the two shapes joined together. Which is the side that is parallel to the side of length 3 inches. So the perimeter is going to be 2(4) + 3. This gives you 11 which you add to the 4.71 and get 15.71
Find the solutions to x² = 8.
A. x- +4√6
B. x- +4√√2
C. x=+2√4
D. x=+2√2
Answer:
D. 2√2
Step-by-step explanation:
x² = 8
x = √8
x = √4 x √2
x = 2√2
Step-by-step explanation:
[tex] x {?}^{2} \sqrt{2 \times 2 \times 2} \\ \\ x { }^{2} = 2 \sqrt{2} [/tex]
Katie divided a drink with a volume
of 3½ cups into ½ cup servings.
How many servings did she have?
Answer:
Step-by-step explanation:
she has 7 servings. Add 1/2 + 1/2 until you get 3 1/2 and it equals 7
I need helpppppp asap
Answer:
graph A
Step-by-step explanation:
When looking at a graph, there are two different axes. The vertical values--marked by the center up/down line--are "y-values"; and this is called the "y-axis"
The horizontal values--marked by the left/right line--are "x-values"; and this is called the "x-axis"
For the x-axis, values to the left side of the origin (the place where the y-axis and x-axis intercept) are smaller than 0--they are all negative values.
Values to the right side of the origin are positive--greater than 0.
For the y-axis, positive numbers are on the top half [once again, the midpoint / 0 is where the two lines are both = to 0; the origin] and negative numbers are on the bottom half.
Ordered pairs (points) are written as (x,y)
(x-value, y-value)
We are looking for a graph that decreases (along the y-axis), hits a point below the origin, and goes flat/stays constant.
When a graph is decreasing (note: we read graphs from left to right), the line of the graph is slanted downwards (it looks like a line going down).
So, if we look at the graphs, we can see Graph A descending, crossing the y-axis {crossing the middle line /vertical line / y-axis} at a value of -7, and then staying constant (it is no longer increasing or decreasing because the y-values stay the same)
hope this helps!!
