The equation can be used to model the height as a function is[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex] where t is time, the second option is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know the general equation for the cosine function:
[tex]\rm y = A\ cos(bx-c)+d[/tex]
Where A is the amplitude
We have a wall clock that varies from 9 feet to 10 feet.
The value of 'A' is given by:
[tex]\rm A = \frac{10-9}{2} \Rightarrow 0.5[/tex]
b is the cycle speed, we know:
[tex]\rm T = \frac{2\pi}{b}[/tex] (T is period)
[tex]\rm12 = \frac{2\pi}{b}[/tex]
[tex]\rm b=\frac{\pi}{6}[/tex]
The value of d is given by:
[tex]\rm d = \frac{10+9}{2}[/tex]
d = 9.5
The equation can be modeled:
[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex] (c =0 and y =h)
Thus, the equation is [tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex]
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Answer: B, h = 0.5 cosine (StartFraction pi Over 6 EndFraction t) + 9.5
Step-by-step explanation: edge :)
help with q7 please !!
Step-by-step explanation:
[tex] \frac{dA}{dx} = 3 {(x - 1)}^{2} \\A = ∫3 {(x - 1)}^{2}dx \\ = ∫3 {x}^{2} - 6x + 3 \: dx \\ = \frac{3 {x}^{3} }{3} - \frac{6 {x}^{2} }{2} + 3x + c \\ = {x}^{3} - 3 {x}^{2} + 3 + c[/tex]
Now substitute in A=10 and X=3, to find the value of c
[tex]10 = {3}^{3} - 3 {(3)}^{2} + 3(3) + c \\ c = 1[/tex]
Hence,
[tex]A = {x}^{3} - 3 {x}^{2} + 3x + 1[/tex]
this question is to hard
Answer:
A
Step-by-step explanation:
it aligns with the other dots, and you can do exactly 1-1
Answer:
C. (9,4.5)
Step-by-step explanation:
with each ordered pair, the y axis is half of the x axis.If x represents the molar solubility of b a 3 ( p o 4 ) 2 , what is the correct equation for the k s p ?
The molar solubility of Ba₃(PO₄)₂ is its concentration of pure substance
The correct equation for the ksp is Ksp = 6x⁵
How to determine the equation of ksp?Start by writing the reaction for the solution of Barium phosphate
Ba₃(PO₄)₂ ⇌3Ba²⁺ +2PO₄³⁻
Next, we make an ICE chart
Let "x" be the molar solubility of Barium phosphate
Ba₃(PO₄)₂(s) ⇌3Ba²⁺ +2PO₄³⁻
I 0 0
C +3x +2x
E 3x³ 2x²
Lastly, we write the expression for the solubility product constant (Ksp)
This is represented as:
Ksp = [3Ba²⁺] × [2PO₄³⁻]²
Ksp = 3x³ × 2x²
Evaluate the product
Ksp = 6x⁵
Hence, the correct equation for the ksp is Ksp = 6x⁵
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The molar solubility of Ba₃(PO₄)₂ is its concentration of a pure substance.
The correct equation for the ksp is Ksp = 6x⁵.
How to determine the equation of ksp?The solubility product constant is the equilibrium constant for the dissolution of a solid substance into an aqueous solution. It is denoted by the symbol Ksp.
Start by writing the reaction for the solution of Barium phosphate.
Ba₃(PO₄)₂ ⇌3Ba²⁺ +2PO₄³⁻
Let "x" be the molar solubility of Barium phosphate
Ba₃(PO₄)₂(s) ⇌3Ba²⁺ +2PO₄³⁻
I 0 0
C +3x +2x
E 3x³ 2x²
Lastly, we write the expression for the solubility product constant (Ksp),
This is represented as:
Ksp = [3Ba²⁺] × [2PO₄³⁻]²
Ksp = 3x³ × 2x²
Evaluate the product
Ksp = 6x⁵
Hence, the correct equation for the ksp is Ksp = 6x⁵
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I have no idea how to do this (screen shot below)
Answer:
435 is the answer
Step-by-step explanation:
well first you can cut it up
9x7=63
than 8x15=120
than for the trangle
you do 24x 21= 504 than you do 504/2=252
than add all of them =435
You create a recipe for slime by making some 20% pure slime and some 80% pure to create 100 gallons of a 65% slime mixture. How man gallons of the 20% mixture are needed
About 25 gallons of 20% mixture are needed to make the 80% mixture.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of gallons of 20% mixture needed, hence:
(20% of x) + (80% of y) = 65% of 100
0.2x + 0.8y = 65 (1)
Also:
x + y = 100 (2)
From both equations:
x = 25, y = 75
About 25 gallons of 20% mixture are needed to make the 80% mixture.
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Understanding Distance Units
х
Stephen Kiprotich, the 2012 Olympic marathon winner,
completed the 26.219 miles in 128 minutes. What was
his speed in kilometers per minute? ?
What steps should you take to solve this problem?
Answer:
divide
Step-by-step explanation:
divide 26.216 and 128 to get ur anser
A baker needs 500 cupcake wrappers for this month's orders.
He has 365 cupcake wrappers in his store.
He buys an additional 250 cupcake wrappers.
He wants to see if he has enough cupcake wrappers.
Complete the statements. Answer All
1. Should the baker round the wrappers up or down?
2. Estimate the total number for wrappers.
3. The baker has or doesn't have enough cupcake wrappers.
(I kinda forgot how to round and estimate
Answer:
the Baker should round up.
365=400 250=300 400+300=700. the Baker does have enough. and even if you add 365+ 250 you get 615 over 500.
The total number of wrappers is 615 wrappers, which implies bakes has enough cupcake wrappers.
Given that,
A baker needs 500 cupcake wrappers for this month's orders, he has 365 cupcake wrappers in his store. He buys an additional 250 cupcake wrappers.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Total number of wrappers = 365 + 250 = 615
But according to the condition, a baker needs 500 cupcake wrappers for this month's orders. So the number of wrappers exceeds 15.
Thus, the total number of wrappers is 615 wrappers, which implies bakes has enough cupcake wrappers.
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simplify:
A. -9(-2)
B. -9(+6)
C. -9/-3
D. 9/-1
Answer:
A. 18
B. -3
C. 3
D. -9
Step-by-step explanation:
Simplify:
A. -9(-2) <== when multiplying two negatives, they make a positive
-9(-2) = 18
B. -9(+6)
-9(+6) = -3
C. -9/-3 <== when dividing two negatives, they make a positive
-9/-3 = 3
D. 9/-1 <== when dividing a # with a negative, it makes a negative
9/-1 = -9
Hope this helps!
what is the factored form of the equation f(x)=4x^2-4x-8
Answer:
4(x² - x - 2)
Step-by-step explanation:
The highest common factor is 4 so factor it out.
Answer:
Step-by-step explanation:4x2−4x−84x2-4x-8Factor 44 out of 4x2−4x−84x2-4x-8.
Factor 44 out of 4x24x2.4(x2)−4x−84(x2)-4x-8Factor 44 out of −4x-4x.4(x2)+4(−x)−84(x2)+4(-x)-8Factor 44 out of −8-8.4(x2)+4(−x)+4(−2)4(x2)+4(-x)+4(-2)Factor 44 out of 4(x2)+4(−x)4(x2)+4(-x).4(x2−x)+4(−2)4(x2-x)+4(-2)Factor 44 out of 4(x2−x)+4(−2)4(x2-x)+4(-2).4(x2−x−2)
Factor x2−x−2x2-x-2 using the AC method
Consider the form x2+bx+cx2+bx+c. Find a pair of integers whose product is cc and whose sum is bb. In this case, whose product is −2-2and whose sum is −1-1.−2,1
Write the factored form using these integers.4((x−2)(x+1))4((x-2)(x+1))Remove unnecessary parentheses.4(x−2)(x+1)
Harold got home from school at 3:50 P.M. and played video games for 1 hour and 5 minutes. Then, it took him 1 hour and 40 minutes to finish his homework. What time was it when Harold finished his homework?
Answer:
6:35.
Step-by-step explanation:
I start by adding the hours spent to the time leaving me with 5:50, I then add the 40 which brings it to 6:30 and the additional 5 minutes bringing the final answer to 6:35.
Answer:
6:35 PM
Step-by-step explanation:
When Harold got home, it was already 3:50 PM. Then he played games for an hour and five minutes. Adding on an hour, it made the time 4:50 PM, and then adding on the five minutes, made the time 4:55 PM. When he finished playing games, he took an hour and forty minutes to do his homework. 4:55 PM, adding on the hour makes it 5:55 PM, then adding the 40 minutes, makes it 6:45 PM.
- Educationist
The area of the rectangle is 49 square units.
The area of triangle 1 is 7 square units.
The area of triangle 2 is 14 square units.
What is the area of the polygon?
Answer:
[tex]\boxed{70 \ \text{units}^{2}}[/tex]
Step-by-step explanation:
I assume that the polygon is made up of a rectangle and two triangles. Thus, the area of the polygon is the area of the triangles and the rectangle.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
[tex]\text{Area of polygon} = \text{Area of rectangle} + \text{Area of triangle}_{1} } + \text{Area of triangle}_{2}[/tex]
➡ [tex]\text{Area of polygon}= 49 + 7 + 14[/tex]
➡ [tex]{\bold{Area \ of\ polygon = 49 + 21 = \underline{70 \ units}^{2}}[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Solve. k + 6 > 19
A.
k < - 13
B.
k > 25
C.
k > 13
D.
k < - 25
Answer:
k > 13
Step-by-step explanation:
[tex]k+6 > 19\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:k > 13\:\\ \:\mathrm{Interval\:Notation:}&\:\left(13,\:\infty \:\right)\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]
[tex]k+6-6 > 19-6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]k > 13[/tex]
Thus, the answer is k > 13
[RevyBreeze]
0.09+
100
27
=
100
+
100
27
Answer:
x = 9#
Step-by-step explanation:
need help with answer just ask me i got yall
which shape is a trapeziod with only 1 pair of parallel sides
Answer: A Quadrilateral is a trapeziod with only 1 pair of parallel sides.
Hope this helps!
Answer:
The trapezoid itself, including quadrilaterals.
Trapezoids have 1 pair of parallel sides. See picture below.
If x=3, calculate the value of:
X squared + 2x
[tex]x^2+2x\\\\\text{If x = 3,}\\\\3^2 + 2(3) = 9 + 6 = 15[/tex]
Write an expression equivalent to 6 — 2.2 +5+ 4. that only has two
terms.
Answer:
3.8 + 9?
Step-by-step explanation:
help please must be a really quick answer but right!
Answer:
240 ft^2
Step-by-step explanation:
10*18=180
20*6=120
120/2 = 60
180+60=240
Your class of 96 students is going on a field trip to the aquarium.
You filled one school bus, and the second school bus had 6 seats left
over. Write and solve an equation to determine how many students
s can fit on one school bus.
Answer:
51 seats
Step-by-step explanation:
96 = 2 buses minus six seats
96 = 2x -6
102 = 2x
102/2 = x
51 seats
The table shows information about town a in illinois and town b in florida. a 3-column table has 2 rows. the first column has entries town a, town b. the second column is labeled population with entries 54,016, question mark. the third column is labeled area (miles squared) with entries 3.89, 0.37. if the two towns have the same population density, which must also be true? town b has the same population as town a. town b has a greater population than town a. town b has a population of approximately 5,138. town b has a population of approximately 37,530.
Answer:
c. Town B has a population of approximately 5,138.
Step-by-step explanation:
sorry its late
Based on the population density, town B has a population of approximately 5138; option C
What is population density?Population density is the ratio of the total population of a place and the area of the place.
Population density = population/areaPopulation density of A = 54016/3.89 = 138885.86 per square miles
Population density of B = 138885.86 per square miles
Population of B = 138885.86 × 0.37 = 5138
Therefore, town B has a population of approximately 5138.
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Construct a specific 2x2 matrix a with no zero entries at all such that aat = i
A 2 x 2 matrix has 2 rows and 2 columns
A specific 2 x 2 matrix a with no zero entries at all is [tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]
How to construct the matrix?From the question, we understand that the matrix is a 2 x 2 matrix.
A 2 x 2 matrix is represented as:
[tex]\left[\begin{array}{cc}a&b\\c&d&\end{array}\right][/tex]
Also from the question we understand that the elements of the matrix are non-zero.
This means that:
[tex]a \ne 0\ , b \ne 0, \ c \ne 0, \ d \ne 0[/tex]
An example of such matrix is:
[tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]
Note that there are several matrices that fit the given construction requirement
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Not an actual test question but just curious:
if an exponential function is flipped by the x axis then is that function still positive or negative.
EX:
well, when we use the word "the function" we're referring to the dependent part, which depends on the independent, y,x wise, we're referring to the function "y" or f(x) if you wish.
so for an exponential function
is the function ever positive only? it can be
is it negative only? it can be
can it be both? sure thing, most of the time it's both
we can say a function f(x) is always positive when the independent values of "x" yield a positive value only, mind you that when we're talking about "the function" we're really referring to the resulting values in a set, so can the values of the output no matter what "x" we use be always positive? sure, can they also be negative only? sure, how about both? sure thing.
notice the template in the picture below, we can transform any exponential function like the one above 2ˣ with some vertical shift upwards, and is always positive, or -2ˣ with a vertical shift downwards and it's always negative, or we can stretch it about and have -2ˣ shifted upwards so sometimes is positive, and sometimes is negative.
above the x-axis is always positive, below is negative, but with transformations on the parent function it can be any of the three types.
John ordered a large three topping pizza for $7. 50 and a large 8 topping pizza for $10. Write an equation in slope-intercept form to describe the situation. (use fractions) (15 points)
to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm
[tex]\begin{array}{ccll} \stackrel{toppings}{x}&\stackrel{cost}{y}\\ \cline{1-2} 3 & 7.50\\ 8& 10 \end{array} \qquad\implies \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{7.50})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{7.50}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}}\implies \cfrac{2.5}{5}\implies \cfrac{~~ \frac{25}{10}~~}{5}\implies \cfrac{25}{50}\implies \cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7.50}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{3})\implies y-\cfrac{750}{100}=\cfrac{1}{2}(x-3) \\\\\\ y-\cfrac{15}{2}=\cfrac{1}{2}x-\cfrac{3}{2}\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{15}{2}\implies y=\cfrac{1}{2}x-6[/tex]
What is the measure of angle L and F? WILL GET BRAINLIEST!!!!!!
Roman Civilization began in 509 B.C. and ended in 476 A.D. How long did Roman Civilization last?
Answer:
Add 509 and 476; The Roman Era lasted for a total of 985 years from 509 B.C to 476 A.D.
Step-by-step explanation:
Solve for x please and round
Answer:
[tex]\displaystyle 74,4[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{67} = cot\:42 \hookrightarrow 67cot\:42 = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]
OR
[tex]\displaystyle \frac{67}{x} = tan\:42 \hookrightarrow xtan\:42 = 67 \hookrightarrow \frac{67}{tan\:47} = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Identify the percent of change.
72 paper clips to 63 paper clips
Percentage Calculator: What is the percentage increase/decrease from 72 to 63? = 12.5.
The amount of money Camilla earns varies directly with the number of hours she works. If she earns $150 when she works 20 hours, how much will she earn for working 60 hours?
What is k ? (k = y/x)
What is the equation for the direct variation situation? (y = kx)
How much will she earn for working 60 hours?
What is k ? (k = y/x)
If y is dollars earned and x is hours worked,
k = y/x
k = 150 dollars /20 hours
k = 7.50 dollars per hour
What is the equation for the direct variation situation? (y = kx)
y = kx
y = (7.50)(60)
y = 450
How much will she earn for working 60 hours?
y = $450
She will earn $450 after working for 60 hours.
is -13/3 rational or irrational
Answer:
It is irrational
Step-by-step explanation:
Hope that helps!
what is the correct answer to this?
Answer:
1.4 meters
Step-by-step explanation:
Given,
Volume of rectangular prism ( V ) = 18.144 cubic meters
Width ( w ) = 2.7 m
Length ( l ) = 4.8 m
To find : d
Here, d is Height ( h ).
Formula : -
V = whl
18.144 = 2.7 x 4.8 x d
18.144 = 12.96 x d
d = 18.144 / 12.96
d = 1.4 meters
[tex] \huge\fbox\green{ANSWER} [/tex]
[tex]v = l \times w \times h[/tex]
[tex]18.144 {m}^{3} = 4.8m \times 2.7m \times d[/tex]
[tex]18.144 {m}^{3} = 12.96 \times d[/tex]
[tex] \frac{18.144 {m}^{3} }{12.96 {m}^{2} } = \frac{12.96 {m}^{2} }{12.96 {m}^{2} } \times d[/tex]
[tex]1.4m = d[/tex]
PLS HELP QUICK
Rachel designs a small flower garden for her new home. The garden is the shape of a rectangle, with a quarter circle added to each of the shorter sides of the rectangle. The shorter sides of the rectangle each measure 4 feet. The area of the garden is 73.12 ft2. What is the length of the other dimension rectangular portion of the garden?
Use 3.14 as an approximation for pi.
The length of the other dimension rectangular portion of the garden is 12 feet.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
The area of each semicircle = (1/4) * π * radius² = (1/4) * π * 4² = 12.56 ft²
Let x represent the other side of the rectangle, hence:
Area of garden = 2(12.56) + 4x = 4x + 25.12
Hence:
73.12 = 4x + 25.12
x = 12 feet
The length of the other dimension rectangular portion of the garden is 12 feet.
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