Answer:
49%.
Step-by-step explanation:
2205 100 220500
........... x .......... = .................. = 49 (49%).
4500 1 4500
The theater filled up with 49% of seats with 6th grade students.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a middle school that took all of its 6th grade students on a field trip to see a symphony at a theater that has 4500 seats. The students filled 2205 of the seats in the theater.
Assume that the theater filled up [x]% of seats at the theater. Then, we can write -
[x]% = (2205/4500) x 100
[x]% = 0.49 x 100
[x]% = 49%
Therefore, the theater filled up with 49% of seats with 6th grade students.
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6 lb = how many oz .
Answer:
96 oz
Step-by-step explanation:
1 lb= 16 oz
so, 16×6=96
anyone who solves this problem for me .... I really need help
a) The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The value of [tex]m'(5)[/tex] is approximately -0.034.
c) The value of [tex]x[/tex] is approximately 0.622.
a) [tex]f(x)[/tex] is a piecewise function formed by two linear functions, whose form is defined by the following definition:
[tex]f(x) = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot x + b[/tex] (1)
Where:
[tex](x_{1}, y_{1})[/tex], [tex](x_{2}, y_{2})[/tex] - Two distinct points of the line.[tex]x[/tex] - Independent variable.[tex]f(x)[/tex] - Dependent variable.[tex]b[/tex] - x-InterceptNow we proceed to determine the linear functions:
Line 1: [tex]x \in [-1, 2)[/tex]
[tex](x_{1}, y_{1}) = (0, 3)[/tex], [tex](x_{2}, y_{2}) = (1, 5)[/tex], [tex]b = 3[/tex]
[tex]f(x) = \frac{5-3}{1-0}\cdot x + 3[/tex]
[tex]f(x) = 2\cdot x + 3[/tex]
Line 2: [tex]x \in [2, 8][/tex]
[tex](x_{1}, y_{1}) = (2, 7)[/tex], [tex](x_{2}, y_{2}) = (8, 3)[/tex]
First, we determine the slope of function:
[tex]m = \frac{3-7}{8-2}[/tex]
[tex]m = -\frac{2}{3}[/tex]
Now we proceed to determine the intercept of the linear function:
[tex]7 = -\frac{2}{3}\cdot 2 + b[/tex]
[tex]b = \frac{25}{3}[/tex]
[tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex]
The first derivative of a linear function is its slope, and the first derivative of a product of functions is defined by:
[tex]k'(x) = f'(x)\cdot g(x) + f(x)\cdot g'(x)[/tex]
If we know that [tex]f(x) = 2\cdot x + 3[/tex], [tex]f'(x) = 2[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 0[/tex], then:
[tex]k'(x) = 2\cdot \sqrt{x^{2}-x+3}+\frac{(2\cdot x +3)\cdot (2\cdot x - 1)}{2\cdot \sqrt{x^{2}-x+3}}[/tex]
[tex]k'(0) = 2\sqrt{3}-\frac{3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{12-3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{9}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{3\sqrt{3}}{2}[/tex]
The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The derivative is found by means of the formulas for the derivative of the product of a function and a constant and the derivative of a division between two functions:
[tex]m'(x) = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{2\cdot [g(x)]^{2}}[/tex] (2)
If we know that [tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex], [tex]f'(x) = -\frac{2}{3}[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 5[/tex], then:
[tex]f(5) = 5[/tex]
[tex]f'(5) = -\frac{2}{3}[/tex]
[tex]g(5) = \sqrt{23}[/tex]
[tex]g'(5) = \frac{9\sqrt{23}}{46}[/tex]
[tex]m'(5) = \frac{\left(-\frac{2}{3} \right)\cdot \sqrt{23}-\left(-\frac{2}{3} \right)\left(\frac{9\sqrt{23}}{46} \right)}{3\cdot 25}[/tex]
[tex]m'(5) \approx -0.034[/tex]
The value of [tex]m'(5)[/tex] is approximately -0.034.
c) In this case we must find a value of [tex]x[/tex], so that [tex]h'(x) = 2[/tex]. Hence, we have the following formula below:
[tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]
A quick approach is using a graphing tool a locate a point so that [tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]. According to this, the value of [tex]x[/tex] is approximately 0.622.
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2. Ramona spent 20 minutes on homework on Monday, 20 minutes on Tuesday,
40 minutes on Wednesday, 30 minutes on Thursday, and 0 minutes on Friday.
What is the mean number of minutes she spent on homework?
Answer:
Ramona spent 110 minutes on homework
Step-by-step explanation:
You want to add up all the minutes spent on homework altogether.
20 +20 = 40
40 + 40 = 80
80 + 30 = 110
110 + 0 = 110
So, Ramona spent a total of 110 minutes on homework. Hope this helps!
According to his running log, Baldwin averaged 4 miles per week last month and 25% more this month. How much did he average this month?
Answer:
4(1.25) = if it’s only one month then it’s 5 miles
Step-by-step explanation:
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Help help again ..2 more :/ thank you again ..
solve for y and x
2+3x-1=4y
And
2x-3=y
Answer:
x = 2.6, y = 2.2
Step-by-step explanation:
if 4y = 2 + 3x - 1 and
y = 2x - 3,
4y = 2 + 3x -1 and 4y = 8x - 12 so
8x - 12 = 2 + 3x - 1
so 5x - 12 = 1,
5x = 13,
x = 2.6
If x = 2.6,
y = 5.6 - 3
so y = 2.2
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hlep me it is easy plssssssssssssss
Answer:
C. (10 - 2) ÷ 4
Step-by-step explanation:
To determine which expression represent a number that is one fourth as great as 10-2 the following logical reasoning has to be made:
Given that a number is raised that is a quarter as large as (10-2), the result of this mathematical operation must be divided by 4.
Thus, since 10 minus 2 is equal to 8 and 8 divided by 4 gives 2, the division is necessary as a mathematical operation.
So, since the only option that raises a division is option C, that's the correct option.
5c + 7c simplify fytdtdecxsts
Answer:
12c
Step-by-step explanation:
Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.
In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:
5c + 7c = 12c
12c is your answer.
~
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Draw the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0). Label the image E' F' G'
Answer:
Should be 3 units away from the picture
Step-by-step explanation:
I hope this helps! ;)
The coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).
What is the dilation of the figure?Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
The image of EFG under the dilation with scale factor and center of dilation has to be drawn.
The value of scale factor of dilation is 3/2.The center of dilation is at (0, 0).The coordinates or the triangle are E(-2,2), F(-2,-2) and G(2,-2). The new points after the dilation are,
[tex]E'(-2\times\dfrac{3}{2},2\times\dfrac{3}{2})=E'(-3,3)\\F'(-2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=F'(-3,-3)\\G'(2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=G'(3,-3)[/tex]
The dilated image of triangle EFG is attached below.
Thus, the coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).
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Choose the symbol that correctly compares the fractions below.
Answer:
[tex] \frac{2}{5} > \frac{1}{6} [/tex]
Answer: B. >
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help plsssssssssssssss
Answer:step 2
Step-by-step explanation:
Factorise fully 2x2 – 8x
[tex]2x^2-8x=2x(x-4)[/tex]
Answer:
2x ( x - 4)
Hope that helps?
The students at Vienna Elementary sold donuts every day at school for 6 months. The table below shows the earnings for the first 6 weeks. If the pattern continues, how much will the students make in week 8?
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The student made $100 in week 8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount earned from the first week to 6 weeks.
110, 100, 90, 110, 100, 90
We see that,
Every 3 weeks the amount gets repeated.
So,
7th week = 110
8th week = 100
Thus,
The amount earned in week 8 is $100.
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Which graph could potentially have a correlation coeffiecient (r value) of 0.95?
Answer:
C,
Step-by-step explanation:
A and D is incorrect because they are negative correlation
and B is incorrect because a correction of 0.95 means all values are close to each other, but B values are scattered much more that C values
so answer C
Find the following:
sin A
cos A
tan A
cot A
sec A
csc A
Step-by-step explanation:
we use the law of sine :
sin(A)/a = sin(B)/b = sin(C)/c
with the related angles being opposite of the lines.
so, we have
sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =
= 0.316227766...
cos²(A) + sin²(A) = 1
cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =
= 0.948683298...
tan(A) = sin(A)/cos(A) = 0.333333333...
cot(A) = 1/tan(A) = 3
sec(A) = 1/cos(A) = 1.054092553...
csc(A) = 1/sin(A) = 3.16227766...
1plss help, its time
Answer:
60 degrees
Step-by-step explanation:
Similar shapes have the same angles but different side lengths.
Answer:
The answer is 60°
Step-by-step explanation:
Because pentagon JKLMN is basically the same as pentagon VWXYZ and if you see in the smaller pentagon the angle for L is 90° and same goes for the bigger pentagon
solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6
Answer:
y = 3
x = 2
Step-by-step explanation:
-5x + 4y = 2
9x - 4y = 6
Sum both eq.
-5x + 9x = 4x
+4y - 4y = 0
2 + 6 = 8
then:
4x + 0 = 8
4x = 8
x = 8/4
x = 2
from the first eq.
-5x + 4y = 2
-5*2 + 4y = 2
-10 + 4y = 2
4y = 2 + 10
4y = 12
y = 12/4
y = 3
Check:
from the second eq.
9x - 4y = 6
9*2 - 4*3 = 6
18 - 12 = 6
A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Appetizer
Total
No appetizer
0.3
Dessert
0.1
0.4
No dessert
0.2
0.4
0.6
Total
0.3
0.7
1.0
What does the 0.1 in the highlighted cell mean?
A. 10% of her customers ordered dessert.
B. 10% of the customers who ordered an appetizer ordered dessert.
C. 10% of her customers ordered an appetizer and dessert.
D. 10% of her customers ordered an appetizer.
According to the two-way table, the correct option is:
10% of her customers ordered an appetizer and dessert.From the table, it is taken that:
0.1 = 10% of the customers ordered both an appetizer and a dessert.0.3 = 30% of the customers ordered a dessert but not an appetizer.0.4 = 40% of the customers ordered a dessert.0.2 = 20% of the customers ordered an appetizer but not a dessert.0.4 = 40% of the customers ordered neither a dessert nor an appetizer.0.6 = 60% of the customers did not order a dessert.0.3 = 30% of the customers ordered an appetizer.0.7 = 70% of the customers did not order an appetizer.The total is of 100%.Hence, the highlighted 0.1 = 10% means that:
10% of her customers ordered an appetizer and dessert.You can learn more about two-way tables at https://brainly.com/question/24670062
1) 0.52 + 1.6 + 8.26 =
2) 1.4 + 5.98 + 9 + 0.39 =
3) 4.45 + 7 + 0.049 =
4) 12.54 – 1. 054 =
5) 0. 685 – 0. 5903 =
6) (34. 89) (0.875) =
7) (840) (0.625) =
8) 28.5 ÷ 0.87 =
9) 104 ÷ 6.4 =
Step-by-step explanation:
1 10.38
2 16.77
3 11.499
4 11.486
5 0.0947
6 30.52875
7 525
8 32.57862069
9 16.5625
another fraction problem. Have tried this one a couple of times and cant find fault in what i did
Answer:
Perimeter = 12 1/2 in
Area = 9.375 in
Step-by-step explanation:
Perimeter:
(3 3/4) + (3 3/4) + (2 1/2) + (2 1/2) = 12 1/2
Area:
(3 3/4) * (2 1/2) = 9.375
Answer:
P = 12 1/2 in
A = 9 3/8 in²
Step-by-step explanation:
L = 3 3/4 in
W = 2 1/2 in
Area:
A = L × W
A = (3 3/4 in)(2 1/2 in)
A = 15/4 in × 5/2 in
A = 75/8 in²
A = 9 3/8 in²
Perimeter:
P = 2(L + W)
P = 2(3 3/4 in + 2 1/2 in)
P = 2(15/4 in + 5/2 in)
P = 2(15/4 in + 10/4 in)
P = 2(25/4 in)
P = 25/2 in
P = 12 1/2 in
Q.
5! = ?
________________
Example :
4! = 4 × 3 × 2 × 1 = 24
Answer:
5!=5*4*3*2*1=120
Step-by-step explanation:
n!=(n)(n-1)(n-2)...(3)(2)(1)
5!=5×4×3×2×1
=20×3×2×1
=60×2×1
=120×1
=120
A cafeteria sells 30 drinks every 15 minutes. How many drinks can be sold in one hour?
Answer:30 drinks
Step-by-step explanation:
⦁ Solve for x: 3|x – 7| = 15
SHOW WORK
[tex]3|x-7| = 15\\\\\implies |x-7| =\dfrac{15}3\\\\\implies |x -7| = 5\\\\\implies x -7 = 5 ~~ \text{or}~ x - 7 = -5\\\\\implies x = 12 ~~\text{or}~~ x = 2[/tex]
PLS HELP ME WITH GEOMETRY :0000
Answer:
GM = 18
Step-by-step explanation:
HJK is congruent to HKL (RHS congruency)
so, JK = KL
JK = 2
GHJ is congruent to MHL (SAS congruency)
so, GJ = LM
LM = 7
GM = 7 + 2 + 2 + 7 = 18
what word phrase can you use to represent the algebraic expression 6x+6
Answer:
the word phrase use to represent 6x+ 6 is sum 6x and 6
Step-by-step explanation:
first you sum 6x and 6
What is 0.459 roused to the nearest hundredth
Answer:
0.459
the 9 rounds the 5 up to a 6 so its 0.46
Answer:
The answer is 0.46
Step-by-step explanation:
The 9 is over 5, so you round up which bumps the 5 up to a 6. It could also be written as 0.460 but the extra 0 is unnecessary.
2x-y=3
X+y=3
Slove equations algebraially
Directions: Compare the sides and angles by filling in the blank with a < or > symbol.
Answer:
Number 21 is < number 23 is > number 22 is < and number 24 is >
Step-by-step explanation:
the area of a rectangle and square are same . if area of the square is 900 cm² and length of the rectangle is 45cm find the perimeter of the rectangle.
Answer: 130cm
Let's think the width of the rectangle as, "x"
45*x= 900
x= 900/45
x= 20
45+45+20+20
= 130cm
3. Which of the following is a rational
number that is not an integer?
A-2
C 0
B -0.5
D 4
Step-by-step explanation:
-0.5 cause decimals and fraction are not included