Answer:
sp= 1300
p=200
Sol...
1300-200=1100
How do you solve for x? X is not 34°, just to let you know.
Answer:
x = 90
Step-by-step explanation:
X is equal to 90 degrees:
As you can see it forms paralell line we know paralell line is equal to 180 degrees just divide it by 2, so 90
Which expression is another way to write 10,000?
10 × 10 × 10
10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10 × 10
==============================
[tex] \large \sf \underline{Question:}[/tex]
Which expression is another way to write 10,000?
==============================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad\quad\large \bold{10 \times 10 \times 10 \times 10}[/tex]
==============================
[tex] \large \sf \underline{Solution:}[/tex]
By getting the answer you just multiply 10 directly by 10 until you get what you are looking for;
[tex] \rm{10 \times 10 = \pmb{100}}[/tex][tex] \rm{ 100 \times 10 = \pmb{1000}}[/tex][tex] \rm{1000 \times 10 = \pmb{10000}}[/tex][tex] \rm { \underline{ \pmb{10 \times 10 \times 10 \times 10 = 10000}}}[/tex]Hence, proven.
==============================
Answer:
Step-by-step explanation:
10000
Write the equation of the conic section shown below.
Answer:
f(x) = -5/81( x^2 -2x - 80)
Step-by-step explanation:
The zeroes are -8 and 10 so we can write :
f(x) = -a(x - 10)(x + 8)
( negative is because the parabola opens downwards).
The maximum value is at the vertex = 5.
f(x) = -a(x^2 - 2x - 80)
= a[(x - 1)^2 - 1 - 80)
= a(x - 1)^2 - 81a
As the vertex is at f(x) = 5
81a = 5 so a = 5/81
So the equation is
f(x) = -5/81( x^2 -2x - 80)
Randy is starting a beehive so that he can have fresh
honey. He decides to check the current population of bees
in the hive by marking 160 bees. Later, Randy collects 240
bees and observes that 30 of them are marked. What is the
BEST estimate for the bee population?
Answer:
1,280
Step-by-step explanation:
please help me do this question
Answer:
[tex]\dfrac{d^2y}{dx^2} = 5e^{3x} \sin (2x)+12e^{3x} \cos (2x)[/tex]
Step-by-step explanation:
[tex]\large \boxed{\begin{minipage}{5 cm}\textsf{\underline{Product Rule}}\\\\$ \textsf{When } \:y=uv\\\\\dfrac{dy}{dx}=u\dfrac{dv}{dx}+v \dfrac{du}{dx}$\\\end{minipage}}[/tex]
Given:
[tex]y=e^{3x} \sin(2x)[/tex]
First Derivative
[tex]\textsf{let } u=e^{3x} \implies \dfrac{du}{dx}=3e^{3x}[/tex]
[tex]\textsf{let } v= \sin(2x) \implies \dfrac{dv}{dx}=2 \cos (2x)[/tex]
Using the Product Rule:
[tex]\begin{aligned}\dfrac{dy}{dx} & =e^{3x}\cdot 2 \cos (2x) + \sin (2x) \cdot 3e^{3x}\\& = 2e^{3x} \cos (2x) + 3e^{3x} \sin (2x)\\& = e^{3x}(2 \cos (2x) + 3 \sin (2x))\end{aligned}[/tex]
Second Derivative
[tex]\textsf{let } u=e^{3x} \implies \dfrac{du}{dx}=3e^{3x}[/tex]
[tex]\textsf{let } v= 2 \cos (2x)+3 \sin (2x) \implies \dfrac{dv}{dx}=-4 \sin (2x) +6 \cos (2x)[/tex]
Using the Product Rule:
[tex]\begin{aligned}\dfrac{d^2y}{dx^2} & =e^{3x}(-4 \sin (2x) +6 \cos (2x)) +3e^{3x} (2 \cos (2x)+3 \sin (2x))\\& = e^{3x}[-4 \sin (2x) +6 \cos (2x)+6 \cos (2x)+9 \sin (2x)]\\& = e^{3x}[5 \sin (2x) +12 \cos (2x)]\\& = 5e^{3x} \sin (2x)+12e^{3x} \cos (2x)\end{aligned}[/tex]
Answer:
[tex] \tt{ \frac{ {d}^{2} y}{d {x}^{2} } = 5 {e}^{3x} \sin(2x) + 12 {e}^{3x} \cos(2x)}[/tex]
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀▩ Question[tex]y = {e}^{3x} \sin(2x) \\ { \sf{To \: find}} \: \frac{ {d}^{2}y }{d {x}^{2} } [/tex]
⠀
⠀
⠀⠀⠀⠀■ Solution⠀
First finding dy/dx⠀
[tex] \sf using \: \frac{d}{dx} uv = u \frac{d}{dx} v + v \frac{d}{dx} u \: formula[/tex]
⠀
⠀
Taking derivative of sin2x and e^3x⠀
[tex] \bold{ \frac{dy}{dx} = {e}^{3x} \frac{d}{dx} \sin(2x) + \sin(2x) \frac{d}{dx} {e}^{3x} } \\ \\ \bold{ \frac{dy}{dx} = {e}^{3x} \cos(2x) \frac{d}{dx} 2x + \sin(2x) {e}^{3x} \frac{d}{dx} 3x}[/tex]
⠀
⠀
Multiplying⠀
[tex] \bold{ \frac{dy}{dx} = {e}^{3x} \times 2 \cos(2x) + \sin(3x) \times 3 {e}^{3x} }[/tex]
⠀
⠀
Value of dy/dx⠀
[tex] \bold{ \frac{dy}{dx} = 2 {e}^{3x} \cos(2x) + 3 {e}^{3x} \sin(2x) }[/tex]
⠀
⠀
Now taking derivative again using same formula as mention in first part, so that to find d²y/dx².⠀
⠀
⠀⠀● First solving 2e^3x cos(2x)
⠀
[tex] \bold{ 2( {e}^{3x} \frac{d}{dx} \cos(2x) + \cos(2x) \frac{d}{dx} {e}^{3x}) }[/tex]
⠀
⠀
Taking derivative of cos2x and e^3x⠀
[tex] \bold{2( {e}^{3x} - \sin(2x) \frac{d}{dx} 2x + \cos(2x) {e}^{3x} \frac{d}{dx} 3x)} \\ \\ \bold{ - 4 {e}^{3x} \sin(2x) + 6 {e}^{3x} \cos(2x) }[/tex]
⠀
⠀
⠀⠀● Now solving 3e^3x sin(2x)
⠀
[tex] \bold{ 3( {e}^{3x} \frac{d}{dx} \sin(2x) + \sin(2x) \frac{d}{dx} {e}^{3x} )}[/tex]
⠀
⠀
Now taking derivative of sin 2x and e^3x⠀
[tex] \bold{ 3( {e}^{3x} \cos(2x) \frac{d}{dx} 2x + \sin(2x) {e}^{3x} \frac{d}{dx} 3x)} \\ \\ \bold{ 6 {e}^{3x} \cos(2x) + 9 {e}^{3x} \sin(2x) }[/tex]
⠀
⠀
Adding both solution⠀
[tex] \bold{ \frac{ {d}^{2}y }{d {x}^{2} } = - 4 {e}^{3x} \sin(2x) + 6 {e}^{3x} \cos(2x) + 6 {e}^{3x} \cos(2x) + 9 {e}^{3x} \sin(2x) } \\ \\ \bold{ \frac{ {d}^{2} y}{d {x}^{2} } = 5 {e}^{3x} \sin(2x) + 12 {e}^{3x} \cos(2x) }[/tex]
please help me i don't understand
What is the sum of the fractions?
Answer:
-3/4
Step-by-step explanation:
Problem
-1 1/4 + 1/2
Comment
This combined with the number line is to help you visualize how fractions can be represented and how you find their sum.
The rule is move left when the number is minus. Move right when the number is plus.
so -1 1/4 = (4*-1 -1 )/4 = - 5/4
Start at 0 and move left. The number beside - 1 on the number line is -5/4 Put an arrowhead on the line you just drew. The arrowhead should be just about -5/4.
Each mark on the number line is 1/4 away from the next quarter on the number line.
1/2 = 2/4
So since 1/2 is plus, you move right. You need 2 marks right of -5/4. You will find that is at -3/4
Show that if AB=DC in the figure below, then AB is parallel to CD.
AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.
What are the properties of a parallelogram?Note, the figure is a parallelogram
Some properties of a parallelogram are:
The opposite sides of a parallelogram are parallel and equal.The opposite angles are equal.The consecutive angles are supplementary, that is, the sum up to 180°The two diagonals divide each other.if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.
Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.
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PLSS HELP ME WITH THIS 20 POINTSS!! The graph below shows a proportional relationship between 2 and 4. What is the constant of proportional y/x
Answer:
3.5.
Step-by-step explanation:
Y = kx where k is the slope of the line
k = y/x
The slope 3/5/1 = 3.5
y/x = 3.5.
A delicatessen makes a roast-beef-on-sourdough sandwich for which you can choose from eight condiments. a. How many different types of roast-beef-on-sourdough sandwiches can the delicatessen prepare? b. What is the minimum number of condiments the delicatessen must have available if it wishes to offer at least 1000
different types of roast-beef-on-sourdough sandwiches?
Analyzing the information, it is clear that to find the solutions of the problems it is necessary to perform the calculation of mathematical arrangements.
What are arrangements?Correspond to a case of permutations, they are groupings that are formed with a number p of elements from a set of n elements. The elements of p must occupy ordered positions, where p ≤ n. The formula is:
A = n!/(n-p)!So, to solve the problems we do the following calculations:
A) 2^n =
2^8 = 256
B) We must pay attention to the statement, which asks for the minimum number of condiments required to prepare 1000 different sandwiches, so:
2^n [tex]\geq[/tex] 1000
n = 3
2^3 = 8
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about 1 2 of the population has red hair if 800 people were ramdomly sampled about how many of them would you expect to be read heads
Answer:
10-12
Step-by-step explanation:
1.5% of 800 is 12
The new floor plan for the interior of a home is below. Marisa wants to cover various parts of the floors with carpet, tile, or wood.
If tile costs $1.29/sq. ft., how much will the tiled portion of the floor plan cost?
A) $1,548.00
B) $1,161.00
C)5387.00
D) $774.00
Answer:
C. $774.00
Step-by-step explanation:
First, you have to find the area of the area that is tile, in this case, it is a trapezoid.
Area of Trapezoid formula:
A= 1/2(b1+b2)h
h= height
b=base
A= 1/2(15+25)30
A= 1/2(40)(30)
A=1/2(1,200)
A= 600
Now, you multiply 600 by the cost of the tile to get how much money it will cost.
600*1.29= $774.00
The price of a television in a certain store was a dollars in June. On the first day of each month after June, the price was reduced by 20 percent of the price for the previous month. What was the price of the television during the month of Sep- tember?
Answer:
0.8
Step-by-step explanation:
multiply 1.00 .20 4 times
Write the equation of the line in fully simplified slope-intercept form.
Answer:
the line is going 1/1 so y=1x+2
Step-by-step explanation:
y=mx+b
1 is the slope
2 is the intercept of the graph
i don’t understand these 2 questions. thank you.
Answer:
a) £10.50
b) £5.40
Step-by-step explanation:
In this context, "of" means "times".
__
a)1/4 × £42 = £(42/4) = £10.50
__
b)2/5 × £13.50 = £(2·13.50/5) = £(27/5) = £5.40
_____
Additional comment
The symbol "£" is a currency symbol identifying the units of the associated number. For algebraic purposes, any symbol representing units can be treated as though it were a variable.
In this question of means multiplication.
Let us start solve this question
Question 1
[tex] \small\rm{ \dfrac{1}{4} \: of \: £ \: 42}[/tex]
First we will convert whole number into a fraction
(Any number can be converted to fraction if you use 1 as the denominator)
[tex] \small\sf{ \dfrac{1}{4} \: \times \: \dfrac{42}{1}}[/tex]
Now we will multiply the numerators and denominators.
[tex] \small\sf{ \dfrac{42}{4} = £10.50 } [/tex]
Question 2
[tex] \small\rm{\dfrac{2}{5} \: of \: £ \: 13.50}[/tex]
First we will convert whole number into a fraction
[tex] \small\sf{ \dfrac{2}{5} \times \dfrac{13.50}{1} } [/tex]
Now we will multiply the numerators and denominators.
[tex] \small\sf{ \dfrac{27}{5} =£ 5.40 } [/tex]
It costs $10 to enter a theme park and $2 for each ticket, t. Which equation represents the total cost, c, of going to the theme park?
What is the unit rate of 400 miles in 8 hours?
6. The three sides of a triangle are in the ratio 2 : 3 : 4 and the perimeter
225 m. Find its area.
Find the value marked b?
Based on the alternate interior angles theorem, the value marked b is calculated as: 190°
What is the Alternate Interior Angles Theorem?The theorem states that two alternate interior angles are always congruent to each other.
The measure of angle b based on the alternate interior angles theorem would be:
m∠b = 50 + (320 - 180)
m∠b = 190°
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Shula covered a box with fabric. The dimensions of the box are 7 inches x 11 inches and depth is 8 inches. If fabric costs 7 cents how much will she spend on fabric
Answer:
Option (D) is correct.
Shyla spend $30.94 on the fabrics
Step-by-step explanation:
Shyla has a box with the dimensions of 7 inches, 11 inches, 8 inches. Since it has 3 sides thus, it is form of a cuboid.
Here Length (l) = 7 inches
Breadth (b) = 11 inches
Height (h) = 8 inches
Surface area of Cuboid = 2( lb +bh + hl )
Substitute the values, we get,
Surface area of Cuboid = 2( 7 × 11 + 11× 8 + 7 × 8 )
= 2( 77 +88 +56)
= 422 square inches.
Given: the fabric costs 7 cents per square inch = $0.07 per square inches.
Money Shyla spend on the fabric = total area × cost of fabric per square inch
= 442 × 0.07
= $30.94
Thus, Shyla spend $30.94 on the fabrics.
So , Option (D) is correct.
The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 salaries and find that x bar = $111,000 . Use this information for both parts. Part 1: What is the lower limit of this 95% confidence interval? (Round to the nearest whole number)
Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The other parameters are given as follows:
[tex]\overline{x} = 111000, \sigma = 36730, n = 36[/tex]
Hence, the lower bound of the interval is:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002[/tex]
The lower limit of the 95% confidence interval is of $99,002.
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PLEASE HELP!!!!!!!!!!!!!
Answer:
d this is the answer that I got sorry if its wrong
What do you know about measure AEB compared to angle ADB?
Answer:
[tex]m \angle AEB = m \angle ADB[/tex]
Step-by-step explanation:
By the Inscribed Angle Theorem, since both angles have the same intercepted arc, they are congruent.
In circle H with m/GHJ = 70 and GH = 10 units, find the length of arc GJ.
Round to the nearest hundredth.
Answer:
GH8 remains 70 and gh remains 10
Step-by-step explanation:
there is no five or more
Evaluate the equation. H divided by 3 = 69 2/3
Answer:
138
Step-by-step explanation:
Do the inverse. 69 2/3 multiplied by 3 is 138.
Mrs. Cox measured the height of seven students. What is the combined height of the tallest and shortest student?
Answer:
8 feet
Step-by-step explanation:
3 + 5 = 8
..................................................
Select the correct answer.
Which is the minimum or maximum value of the given function?
Answer:
C
Step-by-step explanation:
Line does not go over 1 on the y-axis
What is the measure of Angle A in the triangle
shown?
Answer:
44degrees
Step-by-step explanation:
I've just replaced letter A with x so that I can make it easier for me to get the value of x and after adding 54 + 82 I got 136 and when I transferred it to the other side I subtracted it from 180 because it had a positive sign before it and if it is carried out the other side it becomes a negative which means I should subtract hope you got me.
in short once a positive number is carried to the other side I mean past the equals sign then it changes to negative hope it helps
1. Express 729 as a power of 3.
(a) 38 (b) 36 c) 9³ d) none of these
Answer:
Option C: 9³
Step-by-step explanation:
9 * 9 = 81
( 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 +9 )
81 * 9 = 729
( 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81)
Which equation does NOT represent a vertical asymptote of the graph of y=tanθ?
A. θ=-pi/2
B. θ=0
C. θ=pi/2
D. θ=3pi/2
The value of theta where we do not have a vertical asymptote is θ = 0.
Where we do not have a vertical asymptote?
The vertical asymptotes happen when the denominator becomes equal to zero.
For our case, we have:
tan(θ) = sin(θ)/cos(θ).
So the vertical asymptotes are for the values of θ where the cosine is equal to zero. Particularly, cos(0) = 1, then in θ = 0 the denominator is not equal to zero, which means that at that value we do not have an asymptote.
Then the correct option is B.
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