Answer:
78%
Step-by-step explanation:
.94 + .78 + .62 = 2.34
2.34/3 = .78
.78 = 78%
Jeremy's weighted average is 83.6%
The grades and the weights of the grades can be represented using the following table
Subject Final Grade Average
Test 50% 94%
Quiz 35% 78%
Homework 15% 62%
The weighted average (w) is the sum of the product of the final grades and the average.
So, we have:
[tex]w = \sum Final\ Grade \times Avearge[/tex]
This gives
[tex]w = 50\% \times 94\% + 35\% \times 78\% + 15\% \times 62\%[/tex]
Evaluate the products
[tex]w = 47\% + 27.3\% + 9.3\%[/tex]
Evaluate the sums
[tex]w = 83.6\%[/tex]
Hence, the weighted average is 83.6%
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Solve the equation. Check your solution.
Answer:
x = 5
Step-by-step explanation:
x^2/(x + 5) = 25/(x+5) Subtract the right side from both sides.
x^2/(x + 5) - 25/(x + 5) = 0
x^2 - 25
======= = 0
x + 5
(x + 5)(x - 5)
============= = 0
(x + 5)
Cancel x + 5 in the numerator and denominator.
x - 5 = 0
x = + 5
Does it check?
x^2/(x + 5) = 25/(x + 5)
x = 5
5^2/(10) = 25/10
25/10 = 25/10 Yes it checks.
what is the zero turn for the arithmetic sequence 128,96,64,32
You are falling by [tex]32[/tex],
[tex]128, 128 - 32, 128 - 32\cdot2,\dots[/tex]
In general your sequence is defined as,
[tex]a_n=128-32\cdot n[/tex] where [tex]0\leq n \lt\infty[/tex].
The question is at which [tex]n[/tex] does the value [tex]a_n=0[/tex].
If you divide [tex]128[/tex] with [tex]32[/tex] you get the number of steps needed to stuff [tex]128[/tex] with [tex]32[/tex], [tex]4[/tex].
If you plug in [tex]n=4[/tex], you get [tex]a_4=128-32\cdot4[/tex], since [tex]32\cdot4=128[/tex] you get [tex]a_4=0[/tex].
The zero turn of the arithmetic sequence is thus at [tex]n=4[/tex].
Hope this helps :)
Supplementary angles are pairs of angles whose measures total 180º. Determine the measure of
supplementary to an angle with a measure of 92°
Hi there!
»»————- ★ ————-««
I believe your answer is:
88°
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
As mentioned in the question, supplementary angles add up to 180°.⸻⸻⸻⸻
[tex]\boxed{\text{Setting Up An Equation...}}\\\\a + 92 = 180\\----------\\ a - \text{Unknown angle measure.}\\----------\\\rightarrow a + 92 - 92 = 180 - 92\\\\\rightarrow \boxed{ a = 88}[/tex]
⸻⸻⸻⸻
The unknown angle measurement should be 88°.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The length of the parallel sides of a trapezium are 3cm and 1 cm, and the distance between them is 1 cm. What is its area?
Answer:
A = 2 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the distance between parallel sides and b₁, b₂ , the parallel sides
Here h = 1, b₁ = 3, b₂ = 1 , then
A = [tex]\frac{1}{2}[/tex] × 1 × (3 + 1) = [tex]\frac{1}{2}[/tex] × 4 = 2 cm²
find dy/dx x=a(cost +sint) , y=a(sint-cost)
Answer:
[tex]\begin{aligned} \frac{dy}{dx} &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)} \end{aligned}[/tex] given that [tex]a \ne 0[/tex] and that [tex]\cos(t) - \sin(t) \ne 0[/tex].
Step-by-step explanation:
The relation between the [tex]y[/tex] and the [tex]x[/tex] in this question is given by parametric equations (with [tex]t[/tex] as the parameter.)
Make use of the fact that:
[tex]\begin{aligned} \frac{dy}{dx} = \quad \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex].
Find [tex]\begin{aligned} \frac{dx}{dt} \end{aligned}[/tex] and [tex]\begin{aligned} \frac{dy}{dt} \end{aligned}[/tex] as follows:
[tex]\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}[/tex].
[tex]\begin{aligned} \frac{dx}{dt} \ne 0 \end{aligned}[/tex] as long as [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex].
[tex]\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}[/tex].
Calculate [tex]\begin{aligned} \frac{dy}{dx} \end{aligned}[/tex] using the fact that [tex]\begin{aligned} \frac{dy}{dx} = \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex]. Assume that [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex]:
[tex]\begin{aligned} \frac{dy}{dx} &= \frac{dy/dt}{dx/dt} \\ &= \frac{a\, (\cos(t) + \sin(t))}{a\, (\cos(t) - \sin(t))} \\ &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)}\end{aligned}[/tex].
Define a variable and write an inequality for each problem. Then solve.
15. Nineteen more than a number is less than 42.
16. The difference of three times a number and 16 is at least 8.
17. One half of a number is more than 6 less than the same number.
18. Five less than the product of 6 and a number is no more than twice that same number.
Answer:
15) n+19<42
16) 3n-16 (less or equal) 8
17) n/2 > n-6
18) 6n-5<2n
Step-by-step explanation:
Are these answers correct? Thxxx
i am supposed to use f(x) to solve these but there isn’t an x in them so i am confused, can someone help?
but there have given the formula of g(x) and f(x) ,put it
A
person that weighs 150 pounds on
Earth will weigh 25 pounds on the Moon.
How much will a 90-pound person weigh
on the Moon?
A. 10 lb
B. 12 lb
C. 15 lb
D. 20 lb
Answer:
Step-by-step explanation:
Ans:15 lb
A 90-pound person will weigh 15lb as we weigh six times less on the moon than the earth. So to find out simply divide 90 by 6.
If f(x)= 2|x|+3x, then the value of f(-1) is
Answer:
-1
Step-by-step explanation:
f(-1) = 2|-1| + 3(-1)
|-1| = 1
=> f(-1) = 2(1) - 3
=> f(-1) = 2 - 3
=> f(-1) = -1
What's the X-Intercepts of (2x-5)(x+1)=9 or (2x-5)(x+1)-9
Answer:
Step-by-step explanation:
Either way works. It comes to the same thing.
(2x-5)(x+1)=9
F: 2x*x = 2x^2
O: 2x*1 = 2x
I: -5 * x = -5x
L: -5*1 = -5
2x^2 + 2x - 5x - 5 = 9 Subtract 9 from both sides
2x^2 - 3x - 14 =0 Divide by 2 (it makes life easier).
Factoring you get
(2x - 7)(x + 2)
2x - 7 = 0
2x = 7
x = 3.5
x + 2 = 0
x = -2
The x intercepts = (3.5,0) and (-2,0)
I've put a graph up for the given equation.
1. If a = -1 , the value of3a + 1 is
Answer:
[tex]f(a) = 3a + 1 \\ Now,\: a = - 1 \\ f( - 1) = 3( - 1) + 1 \\ f( - 1) = - 3 + 1 \\ \boxed{ f( - 1) = - 2}[/tex]
Therefore, -2 is the right answer.Jaya's mother is 5 years more than three times her age. Find Jaya's age if her mother is 44 years old.
Answer:
Jaya is 13 years old.
Step-by-step explanation:
Let's assume Jaya's age to be x years old.
Jaya's mothers age is (3*x)+5.
3x+5=44
3x=39
x=13.
The tempature at 5 P.M. is 20 degrees f. The temperature at 10 P.M. is -5 degrees f. How many degrees did the temperature fall?
Answer:
25 degreea bestie hope thiis helped
Use the diagram to the right.
If AD = 17 and AC = 2y - 6, find the value of y. Then find AC
and DC.
Step-by-step explanation:
if AD =17,then Dc is also 17 because from the diagram,it is given that AD=DC.
And because AD and DC are equal,it means AC = AD +DC,therefore AC = 17+17,AC =34
AC=2y-6
therefore
34=2y-6
28=2y and y=14
Answer:
Step-by-step explanation:
Evaluate the expression if x = - 8 , y = 7 , and z = - 11 .
- 11 - z =?
Answer:
-11 - z
(-11) - (-11)
= 0
I hope I have helped.
I keep getting 30 but it’s not right. Can anyone tell me the steps?
2[10-3(4-2)]+1
Answer:
9
Step-by-step explanation:
[tex]2[10-3(4-2)]+1\\=2(10-3\times2)+1\\=2(10-6)+1\\=2\times4+1\\=9[/tex]
Find the differential of the function w=x^(4)sin(y^(4)z^3)
Step-by-step explanation:
[tex]w = x^4\sin(y^4z^3)[/tex]
The differential [tex]dw[/tex] is
[tex]dw = 4x^3\sin(y^4z^3)dx [/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(4y^3z^3)dy [/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(3y^4z^2)dz[/tex]
the volume of the cone is given by the formula V = 1/3 pie r^2 h, where r is the radius of the base and h is the height of the cone. based on this formula, whatis the height, h, of the cone in terms of the volume and height
answer is h=3v/pie r^2. need help with showing work
9514 1404 393
Answer:
h = 3V/(πr²)
Step-by-step explanation:
The formula can be solved for h by multiplying both sides by the inverse of the coefficient of h.
[tex]V=\dfrac{1}{3}\pi r^2h=\dfrac{\pi r^2}{3}h\\\\(\dfrac{3}{\pi r^2})V=(\dfrac{3}{\pi r^2})(\dfrac{\pi r^2}{3})h\\\\\boxed{\dfrac{3V}{\pi r^2}=h}[/tex]
_____
Additional comment
Whenever a variable has a coefficient you don't want, you can make that be 1 by multiplying the equation by the inverse of the coefficient. This is the same as dividing by the coefficient. This makes use of the fact that for any non-zero 'a', the ratio a/a has a value of 1. Anything multiplied by 1 is unchanged.
V = ah ⇒ V/a = (ah)/a = h(a/a) = h·1 = h
Note that we multiply the whole equation (both sides of the equal sign) by 1/a. The basic rule of equality is that you can do whatever you like to an equation, as long as you do it to both sides.
What is 12 divided by 2/5?
Answer:30
Step-by-step explanation:
Which of the following is equivalent to?
Answer:
Answer is 1/6
Step-by-step explanation:
[tex] {36}^{ - \frac{1}{2} } \\ = \frac{1}{ {36}^{ \frac{1}{2} } } \\ \\ = \frac{1}{ \sqrt{36} } \\ \\ = \frac{1}{6} [/tex]
Three million, six hundred twenty nine in numbers
Answer:
3,000,629
Step-by-step explanation:
Start with three million as shown below.
Three million, six hundred twenty nine in numbers
3,000,000
"six hundred twenty nine" is simply
629
The number you want is 629 more than 3 million.
Now add the 639 to the 3 million.
Three million, six hundred twenty nine
3,000,629
help me do this please!
Answer:
m<ABD = 37°
m<DBC = 58°
Step-by-step explanation:
m<ABD + m<DBC = m<ABC
2x + 23 + 9x — 5 = 95
11x + 18 = 95
-18 -18
--------------------
11x = 77
/11 /11
---------------------
x = 7
Now, plug this into the equation for m<ABD and m<DBC to find their values.
m<ABD = 2x + 23
= 2(7) + 23
= 14 + 23
= 37
m<DBC = 9x — 5
= 9(7) — 5
= 63 – 5
= 58
Now, check to see if our values are right or not.
2x + 23 + 9x — 5 = 95
2(7) + 23 + 9(7) — 5 = 95
14 + 23 + 63 – 5 = 95
100 – 5 = 95
95 = 95 CORRECT
if 3x+7 Y-37 and x = 3, then Y = ?
Answer:
y = 4
Step-by-step explanation:
Given
3x + 7y = 37 ← substitute x = 3 into the equation
3(3) + 7y = 37, that is
9 + 7y = 37 ( subtract 9 from both sides )
7y = 28 ( divide both sides by 7 )
y = 4
Step-by-step explanation:
Solve for the value of r.
(7r-5)
(6r+4)°
Answer:
r = 9
Step-by-step explanation:
These are vertical angles, therefore, the measurements is the same. Set the two measurements equal to each other:
7r - 5 = 6r + 4
Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other. Add 5 and subtract 6r from both sides of the equation:
7r (-6r) - 5 (+5) = 6r (-6r) + 4 (+5)
7r - 6r = 4 + 5
Simplify:
7r - 6r = 4 + 5
r = 9
9 is your value for r.
~
Find the linear function f if f^-1(2)=-1 and f^-1 (-9)=3
Answer:
[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]
Step-by-step explanation:
We want to find the linear function given that:
[tex]f^{-1}(2) = -1\text{ and } f^{-1} (-9) = 3[/tex]
Recall that by the definition of inverse functions:
[tex]\displaystyle \text{If } f(a) = b\text{ then } f^{-1}(b) = a[/tex]
In other words, f(-1) = 2 and f(3) = -9.
This yields two points: (-1, 2) and (3, -9).
Find the slope of the linear function:
[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(-9) - (2)}{(3) -(-1)} = -\frac{11}{4}[/tex]
From point-slope form:
[tex]\displaystyle y - (2) = -\frac{11}{4}( x- (-1))[/tex]
Hence:
[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]
We can simplify if desired:
[tex]\displaystyle f(x) = -\frac{11}{4}x -\frac{3}{4}[/tex]
Find the value of x.
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The angle bisector divides the sides proportionally.
(6x -1)/42 = (10x +5)/78
13(6x -1) = 7(10x +5) . . . . . . . multiply by 546 = LCM(42, 78)
78x -13 = 70x +35 . . . . . . . . eliminate parentheses
8x = 48 . . . . . . . . . . . . . . . . add 13-70x
x = 6 . . . . . . . . . . . . . . . . . divide by 8
How would you write a gain of 16 points as an absolute value?
The width of a rectangle measures (2p - 9q) centimeters, and its length measures
(7p - 10q) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?
Given Data : Length = (7p - 10q) and Breadth = (2p - 9q)
Calculation :
⟹ Perimeter = 2(Length + Breadth)
⟹ Perimeter = 2(7p - 10q + 2p - 9q)
⟹ Perimeter = 2(9p - 19q)
⟹ Perimeter = 18p - 38q centimetres
Answer : 18p - 38q centimetresThe required perimeter of the rectangle is 18p - 38q centimeters.
It is required to find the required perimeter of the rectangle.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given:
width of a rectangle = (2p - 9q) centimeters,
length measures= (7p - 10q) centimeters.
We know that
⟹ Perimeter = 2(Length + Breadth)
By put the value width and length in perimeter we get,
⟹ Perimeter = 2(7p - 10q + 2p - 9q)
⟹ Perimeter = 2(9p - 19q)
⟹ Perimeter = 18p - 38q centimeters
Therefore, the required perimeter of the rectangle is 18p - 38q centimeters.
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In a charity triathlon, Mark ran half the distance and swam a quarter of the distance. When he took a quick break to get a drink of Gatorade, he was just starting to bike the remaining 24 miles. What was the total distance of the race?
The total distance of the race is D = 96 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let's denote the total distance of the race as "d" miles.
According to the given information, Mark ran half the distance and swam a quarter of the distance. This can be expressed as:
Distance Mark ran = d/2 miles
Distance Mark swam = d/4 miles
After Mark's quick break, he was just starting to bike the remaining 24 miles. Since he has already completed running and swimming, the total distance he has covered at that point is:
And this distance is equal to 24 miles, as given in the problem:
d/2 + d/4 + 24 = d
On simplifying the equation , we get
( 3/4 )d + 24 = d
Subtracting ( 3/4 )d on both sides , we get
( 1/4 )d = 24
Multiply by 4 on both sides , we get
d = 96 miles
Hence , the total distance of the race, denoted by "d", is 96 miles
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