What is the approximate volume of a soda can
that is 5 inches tall and has a 2 inch diameter?
3
Kiran bent some wire around a rectangle to make a picture frame. The rectangle is 8 inches by 10 inches. what is the perimater
Answer:
62.8 inches
.Step-by-step explanation:
The wire consists of 14 semicircle + 4 3/4 circles. The diameter of each circle = 8 / 4 = 2 inches.Length of a semicircle = 1/2 * pi * diameter and of a 3/4 circle it is 3/4 * pi * diameter.So the perimeter of the wire= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2= 14 * 3.14 + 4 * 3/2 * 3.14= 62.8 inches.
Answer:
62.8 inches
Step-by-step explanation:
= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2
= 14 * 3.14 + 4 * 3/2 * 3.14
= 62.8 inches.
Someone help me with this
find the equation of circle (5,1) diameter 4 square root 5
Answer:
[tex](x-5)^2+(y-1)^2=20[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (5, 1)diameter = 4√5Diameter = 2r (where r is the radius)
⇒ r = 4√5 ÷ 2 = 2√5
Substituting these values into the equation:
[tex]\implies (x-5)^2+(y-1)^2=(2\sqrt{5})^2[/tex]
[tex]\implies (x-5)^2+(y-1)^2=20[/tex]
How am I supposed to do this? I WILL GIVE BRAINLEST!
Answer:
D. 28.Step-by-step explanation:
Students with 1 to 3 pairs of shoes:
About 32. Just say 32.Students with 13 - 15 pairs of shoes:
4. Just say 4.Solve 32 - 4:
32 - 4= 28.28 is your answer.13. Given that y varies as x^2 and that y = 36 when x=3, find:
a) k
b) the value of y when x=2
c) the value of x when y= 64
Answer:
K=4
Y=16
X=4
Step-by-step explanation:
[tex]y = kx {}^{2} \\ finding \: k \: when \: y= 36 \: and \: x = 3 \\ 36 = k(3) {}^{2} \\ 36 = 9k \\ dividing \: through \: by \: 9 \\ \frac{36}{9} = \frac{9k}{9} \\ 4 = k \\ k = 4 \\ findnig \: y \: when \: x = 2 \\ y = 4(2) {}^{2} \\ y = 4 \times 4 = 16 \\ finding \: x \: when \: y = 64 \\ 64 = 4 \times x \\ 64 = 4x \\ dividing \: through \: by \: 4 \\ \frac{64}{4} = \frac{4x {}^{2} }{4} \\ 16 = x {}^{2} \\ square \: root \: bothsides \\ \sqrt{16} = x {}^{2} \\ 4 = x \\ x = 4[/tex]
NO LINKS!!! Please help me with this graph
Find vertex
f(0)=(0)So
(0,0) is the vertexThe graph shifted 3 units right.
So new translation
g(x)=|x-3|Find y intercept
g(0)=|-3|=3But it's at (0,1) approximately
So compression factor
1/3Now last equation
g(x)=1/3|x-3|Accurate oneTake (-4,2)Find value
g(-4)=|-7|=7So compression factor
2/71/3.5So accurate equation is
1/3.5|x-3|Answer:
[tex]g(x)=\dfrac{2}{7}|x-3|[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
-----------------------------------------------------------------------------------------
Parent function: [tex]f(x)=|x|[/tex]
The vertex of the parent function is at (0, 0) as [tex]f(0)=|0|=0[/tex]
From inspection of the graph, the vertex of the transformed function is at (3, 0). Therefore, there has been a translation of 3 units right:
[tex]\implies g(x)=f(x-3)=|x-3|[/tex]
(There has not been any vertical translation since the y-value of the vertex of the parent function and the translated function is the same)
From inspection of the graph, we can see that it has been stretched parallel to the y-axis:
[tex]\implies g(x)=a\:f(x-3)=a|x-3|[/tex]
The line goes through points (10, 2) and (-4, 2).
Substituting one of these points to find a:
[tex]\implies a|10-3|=2[/tex]
[tex]\implies 7a=2[/tex]
[tex]\implies a=\dfrac{2}{7}[/tex]
Therefore,
[tex]g(x)=\dfrac{2}{7}|x-3|[/tex]
What is the slope of the line?
Answer:
-3
Step-by-step explanation:
First, let's remind ourselves the definition of a slope.
Slope = rise/run OR the height from one point to another/ the distance from one point to another.
First, let's find two points on this graph that are marked easily.
One point that can be found is (0, -3) and the other is (0, -1).
Let's apply our formula to these points!
<------- Starting from point (0, -3), we are RISING 3 points and RUNNING -1 points.
Rise 3
------- = ----------
Run -1
3/-1 = -3
The slope of the line is -3.
Answer:
-3.
Step-by-step explanation:
1) to choose two points on the given line on the graph. For example, A(-2;3) and B(-1;0);
2) to calculate the required slope according to the rule:
[tex]slope=\frac{Y_B-Y_A}{X_B-X_A};[/tex]
3) the required slope:
slope=-3/1=-3.
The length of an arc is equivalent to its degree measure
a) True b) False
Answer:
The police caught the bank robbers(passive)
Answer:
1. it's False because the radian measure of an angle is the length..
Transcribed image text: h of the following statements as true or false. replace lace the underlined word(s) or expression to produce a true statement. The radian measure of an angle equals the length of the arc it intercepts.on the Any degree measure can be converted to radians 180 by by _. To construct the inverse of a trigonometric function, the function must be restricted to a domain on which the function is either always increasing or The length of an arc intercepted by an angle is proportional to the radius; therefore, a central angle of - in a circle with radius k will intercept an an with length kt A triangle with side lengths 7, 11.and 14 has an area of 120-21 Area : Jlo (16-706-Ingen llo
Step-by-step explanation:
Thanks don't forget to follow me brainly
PLEASE HELP !!!!!!!!!
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used.
Find the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40.
Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places.
Using the t-distribution, it is found that the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40 is of 0.083.
How to find a proportion in a t-distribution?The proportion is found using a calculator, with three inputs:
The tail of the test, if it is left, right, or two-tailed.The test statistic.The amount of degrees of freedom.In this problem, we have a left-tailed proportion, as we want the proportion that is less than a value, with test statistic t = -1.4 and 30 + 40 - 2 = 68 df, hence the proportion is of 0.083.
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Can you turn all the mixed numbers in the boxes into and improper fraction please!!!
Answer:
answers are in the attached file!
Step-by-step explanation:
these are super simple to solve if you break it down! in order to turn a mixed number into an improper fraction, you first need to multiply the whole number by the denominator of the fraction. then, you add the numerator of the fraction to the product of the multiplication problem. that answer is then the new numerator of the fraction! the denominator will stay the same.
for example, the very first one that is given in the picture is 6 1/2. 6•2 equals 12, plus the numerator, 1, gives 13.
PLS HELP ME I NEED TO TURN THIS IN
Answer:
150 tablets.
Step-by-step explanation:
20% of 500 is 100, so there was 100 desktop computers. Than, half of the devices were laptop computers, being 250. Than you add 100 and 250 to get 350. Than subtract 350 from 500 and you get 150.
NO LINKS!!! Exponential Growth and Decay Part 1
Problem 1
a = 2500 = starting amount
b = 1 + r = 1 + 0.035 = 1.035 = growth factor
The equation is [tex]y = 2500*1.035^x[/tex] as it is in the form [tex]y = a*b^x[/tex]
Plug in y = 5000 and solve for x.
[tex]y = 2500*1.035^x\\\\5000 = 2500*1.035^x\\\\1.035^x = 5000/2500\\\\1.035^x = 2\\\\\log(1.035^x) = \log(2)\\\\x\log(1.035) = \log(2)\\\\x = \log(2)/\log(1.035)\\\\x \approx 20.148792\\\\x \approx 21\\\\[/tex]
I rounded up to get over the hurdle. This is because plugging x = 20 will lead to y being smaller than $5000, so we must use x = 21.
Answers:The function is [tex]y = 2500*1.035^x[/tex]It takes about 21 years to reach $5000=========================================================
Problem 2
a = 4.22 = starting amount
b = 1 + r = 1 + 0.031 = 1.031 = growth factor
The equation goes from [tex]y = a*b^x[/tex] to [tex]y = 4.22*1.031^x[/tex]
Plug in y = 9.33 and solve for x.
[tex]y = 4.22*1.031^x\\\\9.33 = 4.22*1.031^x\\\\1.031^x = 9.33/4.22\\\\1.031^x \approx 2.21090047393365\\\\\log(1.031^x) \approx \log(2.21090047393365)\\\\x\log(1.031) \approx \log(2.21090047393365)\\\\x \approx \log(2.21090047393365)/\log(1.031)\\\\x \approx 25.9882262216245\\\\x \approx 26\\\\[/tex]
Answers:The function is [tex]y = 4.22*1.031^x[/tex]It takes about 26 years for the ticket to reach the price of $9.33=========================================================
Problem 3
a = 400 = initial value
b = 1 + r = 1 + 0.25 = 1.25 = growth factor
The template [tex]y = a*b^x[/tex] updates to [tex]y = 400*1.25^x[/tex]
Plug in y = 3000 and isolate x.
[tex]y = 400*1.25^x\\\\3000 = 400*1.25^x\\\\1.25^x = 3000/400\\\\1.25^x = 7.5\\\\\log(1.25^x) = \log(7.5)\\\\x\log(1.25) = \log(7.5)\\\\x = \log(7.5)/\log(1.25)\\\\x \approx 9.029627\\\\x \approx 10\\\\[/tex]
Like with the first problem, I rounded up to the nearest whole number. If you tried out x = 9, then y = 2980 approximately which is short of the goal of 3000. Trying x = 10 leads to y = 3725 approximately, which is now over the goal we're after.
Answers:The function is [tex]y = 400*1.25^x[/tex]It takes about 10 days for 3000 people to get infected.[tex]\\ \rm\Rrightarrow P=P_o(1+r)^t[/tex]
[tex]\\ \rm\Rrightarrow 5000=2500(1+0.035)^t[/tex]
[tex]\\ \rm\Rrightarrow 2=1.035^t[/tex]
[tex]\\ \rm\Rrightarrow log2=log1.035^t[/tex]
[tex]\\ \rm\Rrightarrow log2=tlog1.035[/tex]
[tex]\\ \rm\Rrightarrow t=\dfrac{log2}{log1.035}[/tex]
[tex]\\ \rm\Rrightarrow t=20.15[/tex]
We can't take 20 as it can cause depict in price .
So t=21years#2
[tex]\\ \rm\Rrightarrow 9.33=4.22(1+0.031)^t[/tex]
[tex]\\ \rm\Rrightarrow 9.33=4.22(1.031)^t[/tex]
[tex]\\ \rm\Rrightarrow 1.031^t=2.21[/tex]
[tex]\\ \rm\Rrightarrow log1.031^t=log2.21[/tex]
[tex]\\ \rm\Rrightarrow tlog1.031=log2.21[/tex]
[tex]\\ \rm\Rrightarrow t=\dfrac{log2.21}{log1.031}[/tex]
[tex]\\ \rm\Rrightarrow t=25.97\approx 26[/tex]
#3
[tex]\\ \rm\Rrightarrow 3000=400(1+0.25)^t[/tex]
[tex]\\ \rm\Rrightarrow 30/4=1.25^t[/tex]
[tex]\\ \rm\Rrightarrow 7.5=1.25^t[/tex]
[tex]\\ \rm\Rrightarrow log7.5=log1.25^t[/tex]
[tex]\\ \rm\Rrightarrow log7.5=tlog1.25[/tex]
[tex]\\ \rm\Rrightarrow t=\dfrac{log7.5}{log1.25}[/tex]
[tex]\\ \rm\Rrightarrow t=9.03[/tex]
Same like first case
t=1010, the shorter side equals 7 and the longer side equals 14.
Angle A is the angle created by the hypotenuse and the longer side.
Angle C is the right angle. Draw the triangle and label all sides and
angles.
Answer:
I have no idea I am so sorrt
A water dunking tank at a carnival is in the shape of a right circular cylinder. Its height is 5 feet, and the radius of each base is 3 feet, as shown in the picture below.
Answer:
141.37 ft^3
Step-by-step explanation:
No question was asked, but based off of the given information, I will assume you want to know the volume of the circular cylinder.
The volume of a circular cylinder is: v=(π)(r^2)(h)
r=3
h=5
v=(π)(3^2)(5)
v = 141.37
Jerry is running a race. He knows he can run 44 feet in 3 seconds. If he maintains this rate, how many miles will he run in 1 hour?
Step-by-step explanation:
44 ft in 3 seconds
in 1 hour there are 60 minutes with 60 seconds each.
so, 1 hour = 60×60 = 3600 seconds.
in 3600 seconds there are
3600 / 3 = 1200 "packages" of 3 seconds.
so, Jerry would run
1200 × 44 = 52800 ft in 1 hour.
there are 5280 ft in 1 mile.
that means Jerry would run
52800 / 5280 = 10 miles in 1 hour.
Hello, precalc, need help on finding csc
Recall the double angle identity for cosine:
[tex]\cos(2x) = \cos^2(x) - \sin^2(x) = 1 - 2 \sin^2(x)[/tex]
It follows that
[tex]\sin^2(x) = \dfrac{1 - \cos(2x)}2 \implies \sin(x) = \pm \sqrt{\dfrac{1-\cos(2x)}2} \implies \csc(x) = \pm \sqrt{\dfrac2{1-\cos(2x)}}[/tex]
Since 0° < 22° < 90°, we know that sin(22°) must be positive, so csc(22°) is also positive. Let x = 22°; then the closest answer would be C,
[tex]\csc(22^\circ) = \sqrt{\dfrac2{1-\cos(44^\circ)}} = \sqrt{\dfrac2{1-\frac5{13}}} = \dfrac{\sqrt{13}}2[/tex]
but the problem is that none of these claims are true; cot(32°) ≠ 4/3, cos(44°) ≠ 5/13, and csc(22°) ≠ √13/2...
1234
Equivalent Fractions Whole Number
8
4
=
4
2
=
?
4
1
=
8
2
=
?
6
2
=
3
1
=
?
6
6
=
3
3
=
?
Answer:
1) 2
2) 4
3) 3
4) 1
Step-by-step explanation:
8/4 is 2
8/2 is 4
3/1 is pretty simply 3
And lastly (and kind of least)...
3/3 is 1
Hope this helped you out!
P(S) = 5/8
P(T) = 1/8
If S and T are mutually exclusive events, find P(S or T),
Answer:
P(S ∪ T) = 3/4
Step-by-step explanation:
Given:
P(S) = 5/8P(T) = 1/8For mutually exclusive events S and T,
P(S ∪ T) = P(S) + P(T)
Therefore,
P(S ∪ T) = (5/8) + (1/8)
= 6/8
= 3/4
Cate and Elena were playing a card game. The stack of cards in the middle had 28 cards in it to begin with. Cate added 8 cards to the stack. Elena then took 13 cards from the stack. Finally, Cate took 3 cards from the stack. How many cards were left in the stack?
Answer:
20
Step-by-step explanation:
28 + 8 = 36
36 - 13 = 23
23 - 3 = 20
Convert this repeating decimal to a fraction: 0.75757575....
Answer:
25/33
Step-by-step explanation:
Answer:
[tex]\frac{25}{33}[/tex]
Step-by-step explanation:
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.7575..... (1) ← multiply both sides by 100
100x = 75.7575... (2)
subtract (1) from (2) thus eliminating the repeating digits
99x = 75 ( divide both sides by 99 )
x = [tex]\frac{75}{99}[/tex] = [tex]\frac{25}{33}[/tex] ← in simplest form
If cos A = k, then the value of the expression (sin A)(cos A)(tan A) is equivalent to:
1). 1
2). 1/k
3). k
4). k²
Answer:
[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]
Step-by-step explanation:
[tex]\textsf{Trig identity}: \quad \tan A=\dfrac{\sin A}{\cos A}[/tex]
[tex]\begin{aligned}\implies (\sin A)(\cos A)(\tan A)& =(\sin A)(\cos A)\dfrac{(\sin A)}{(\cos A)}\\\\& =\dfrac{(\sin A)(\cos A)(\sin A)}{(\cos A)}\\\\& =\sin^2 A\\\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Trig identity}: \quad \sin^2 A + \cos^2 A &=1\\\implies \sin^2 A & =1-\cos^2 A\end{aligned}[/tex]
[tex]\implies (\sin A)(\cos A)(\tan A)=1-\cos^2 A[/tex]
If [tex]\cos A=k[/tex] then:
[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]
The value of the expression (sin A)(cos A)(tan A) is equivalent to[tex]1 - k^2[/tex], which corresponds to option 4). k².
How to determine the value of the expression (sin A)(cos A)(tan A) is equivalentLet's use the trigonometric identity: tan A = (sin A) / (cos A).
Given cos A = k, we can find sin A using the Pythagorean trigonometric identity:[tex]sin^2 A + cos^2 A = 1.[/tex]
[tex]sin^2 A + k^2 = 1[/tex]
[tex]sin^2 A = 1 - k^2[/tex]
sin A = √(1 - [tex]k^2[/tex])
Now, the expression (sin A)(cos A)(tan A) is:
(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(k)((√(1 -[tex]k^2[/tex]))/k)
Now, we can cancel out the common terms:
(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(√(1 - [tex]k^2[/tex]))
Taking the square root of the product:
(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex])(1 - [tex]k^2[/tex]))
(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex][tex])^2[/tex]
(sin A)(cos A)(tan A) = [tex]1 - k^2[/tex]
So, the value of the expression (sin A)(cos A)(tan A) is equivalent to [tex]1 - k^2[/tex], which corresponds to option 4). k².
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Draw the image of quadrilateral ABCD under a translation by 2 units to the left and 3 units up.
The image of the quadrilateral after the translation is added as an attachment
How to determine the image of the quadrilateral?The given parameter represents the quadrilateral ABCD on the graph.
On this graph, we have the coordinates of ABCD to be:
A = (2, -3)
B = (-1, 3)
C = (-1, -3)
D = (-4, -4)
The translation is given as
2 units to the left and 3 units up.
Mathematically, this can be represented as
(x, y) = (x - 2, y + 3)
So, we have
A' = (0, 0)
B = (-3, 6)
C = (-3, 0)
D = (-6, -1)
Next, we plot the above coordinates on the graph (See attachment)
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Answer:
look at the photo
Step-by-step explanation:
it just is
Use your shapes to create a new shape with an area of 1 square unit that is not a square. Trace your shape.
A new shape with an area of 1 square unit that is not a square can be formed by combining two small triangles
How to determine the new shape?The given parameters are:
Area of square = 1 square unitLarge triangles = 2Medium triangles = 1Small triangles = 4The area of each small triangle is:
Area = 0.5 square unit
Multiply both sides by 2
2 * Area of triangle = 1 square unit
Substitute Area of square = 1 square unit
2 * Area of triangle = Area of square
This means that a new shape can be formed by combining two small triangles
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If f(x) = 3x² and g(x) = x+2, find (f•g)(x)
Answer:
Step-by-step explanation:
3x^2(x +2) = 3x^3 + 6x^2 is the answer
For the following system of equations, the value of x is
The system of equation is x + 3y = 6
6x — бу = 4
Answer:
32/22
Step-by-step explanation:
X+3Y= 6--------(1) ×6
6X-6Y=4--------(2)×1
6X+18Y=36---------(3)
6X-6Y= 4-----------(4)
subtracting equation(4)from (3)
22X = 32
x= 32/22
Answer: a
Step-by-step explanation:
A student estimates that it would take her 3 hours to write a book report,but it actually takes he 5 hours what is the percent error
Answer:
66.67%
If it wrong! IM SO SORRY:(
-
1. Find all critical numbers for the function: f(x) = (9 - x2)3/5
A. {0}
B. {-3,3}
C. {3}
D. {-3,0,3}
Answer:
its easy
Step-by-step explanation:
Darren is making veggie burgers for his family. He will use all the burgers mix he made to form 4 burgers of equal weight. The recipe only makes 32 oz burger mix but Darren made more than that to make extra big burgers
Answer:
4 > 32
Step-by-step explanation:
The variable x represents how much each of Darren's burgers will weigh. Since he will form 4 burgers of equal weight, the expression 4x represents the total weight of the burgers.
And, since Darren will use more than 32 ounces of burger mix, 4x must be greater than 32.
This inequality shows the relationship.
4x > 32
Now, solve for x.
4x > 32
4x/4 32/4
divide 32 by 4
So the answer is x > 8
