Answer:
[tex]3 \frac{3}{4}\\[/tex] / 3.75
Step-by-step explanation:
Step 1: Make all the mixed numbers, improper fractions:
[tex]5 \frac{1}{3} = \frac{16}{3}[/tex]
[tex]7\frac{5}{6} = \frac{47}{6}[/tex]
[tex]6\frac{1}{4} =\frac{25}{4}[/tex]
In order to add/subtract fractions, they must all have a common denominator, the smallest common denominator for all these fractions is 12. And so in order to make 12 the denominator, we must now multiply all the fractions by their multiple.
[tex]\frac{16}{3} = \frac{64}{12}[/tex]
[tex]\frac{47}{6} = \frac{94}{12}[/tex]
[tex]\frac{25}{4} = \frac{75}{12}[/tex]
Time to solve:
[tex]\frac{64}{12} -\frac{94}{12} + \frac{75}{12} =[/tex]
[tex]\frac{-30}{12} + \frac{75}{12} =[/tex]
[tex]\frac{45}{12}[/tex]
Simplify:
[tex]\frac{45}{12} = \frac{15}{4}[/tex]
Convert to a mixed number:
[tex]3 \frac{3}{4}[/tex]
Hope this helps!
A bar of lead is in the shape of a rectangular prism 2 cm by 3 cm
by 4 cm. The density of lead is 11.34 grams per cubic centimeter.
Find the mass of the bar of lead. *
272.16 grams
227.61 grams
262.17 grams
Answer:
Step-by-step explanation:
V = L * W * H
L = 4
W = 3
H = 2
V = 4 * 3 * 2
V = 24
Density = mass / Volume
density = 11.34
volume = 24
mass = ?
11.34 = mass / 24 Multiply both sides by 24
11.34 * 24 = 24 * mass /24
mass = 272.16 grams
Which one hurry
A.82
B.94
C.121
D.144
[tex]\longrightarrow{\blue{B.\:94\:cm²}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 \: (3 \: cm \times 4 \: cm) + 2 \: (3 \: cm \times 5 \: cm) + 2 \: (4 \: cm \times 5 \: cm) \\ \\ = 2 \: (12 \: {cm}^{2} ) + 2 \: ( 15 \: {cm}^{2} ) + 2 \: (20 \: {cm}^{2} ) \\ \\ = 24 \: {cm}^{2} + 30 \: {cm}^{2} + 4 0\: {cm}^{2} \\ \\ = 94 \: {cm}^{2} [/tex]
[tex]\purple{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Match the terms to their definition.
1. expression
a branch of mathematics that uses variables
2. opposite numbers
a mathematical statement that shows two expressions are equal using an equal sign
3. equation
a line that graphically represents all numbers
4. arithmetic sequence
a value that is substituted in for the variable in a function in order to generate an output value
5. function
two numbers that are the same distance from zero on the number line, but in opposite directions
6. family of facts
a single term; multiple terms connected by an addition or subtraction sign
7. input
a number belonging to the set made up of the counting numbers: 1, 2, 3, and so on
8. coordinate plane
a set of numbers where the difference is the same between any two consecutive terms
9. integer
all possible combinations for a set of numbers (2 + 3 = 5, 3 + 2 = 5, 5 - 3 = 2, 5 - 2 = 3)
10. negative number
a relation in which for any given input value, there is only one output value
11. natural number
a number that is less than zero
12. number line
a two-dimensional system in which a location is described by its distance from two intersecting, perpendicular axes
13. algebra
a number belonging to the set made up of the whole numbers and their opposites
Answer:
sim eu também preciso desta respota
You can use this formula to convert a temperature in Celsius (C) to Fahrenheit (F).
F = 95C + 32
Use the formula to covert 55°C to Fahrenheit.
Answer:
using the formula is 87°F but without it is near 140°F
what is the best approximation for relative maximum of the polynomial function graphed below?
A. (0.6, -2.8)
Hope this helps! :)
Match each equation with the correct type of probability?
Answers:
P(A or B) not mutually exclusiveP(A and B) not independent (aka dependent)P(A and B) independentP(A or B) mutually exclusiveP(A | B)=============================================
Explanation:
The formula we use for "or" cases is
P(A or B) = P(A) + P(B) - P(A and B)
If events A and B are mutually exclusive, then we ignore the P(A and B) part since that is 0. Mutually exclusive events cannot occur simultaneously, which is why we have that 0.
-----------
For "and" cases, we have two basic flavors
P(A and B) = P(A)*P(B | A)
P(A and B) = P(B)*P(A | B)
We go with the first case for problem 2. These formulas apply if A and B are not independent.
If they are independent, then
P(A and B) = P(A)*P(B)
-----------
Start with the equation P(A and B) = P(B)*P(A | B) and divide both sides by P(B).
You'll end up with
P(A | B) = P(A and B)/P(B)
which is a conditional probability.
I’m not sure how to do this one, can anyone help me? Please?
Here's an answer! :)
the area of a circle whose radius is 2.1m³is 13.85m²
TRUE OF FALSE
Answer:
true
Step-by-step explanation:
Im needing help with this math question
Answer:
4 weeks = 105
16 weeks = 42
24 weeks = 0
Step-by-step explanation:
the function is missing the 'w'
it should be : C(w) = 126 - 5.25w
'w' is the number of weeks
Substitute number of weeks in the 'w' spot
first one is 4 weeks, so
C(w) = 126 - 5.25(4)
= 126 - 21
= 105
URGENT!!! I need help with these 3-word problems for my trigonometry homework. Please explain how you got the answer and any work.
9514 1404 393
Answer:
7.91 m61.58 cm²angular velocity: 17/16π ≈ 3.34 radians/second; linear speed: 425/16π ≈ 83.45 cm/sStep-by-step explanation:
The applicable relation in each case is ...
s = rθ
where s is arc length, r is radius, and θ is rotation angle in radians. Of course the relation between degrees and radians is that π radians = 180°.
__
1. s = (1.5 m)(302.2/180π) ≈ 7.91 m
About 7.91 meters of wire will be wound on the drum.
__
2. The area of a sector is found by a formula that is similar to that for the area of a triangle. For a triangle, the area is A=1/2bh, where b is the base length and h is the height of the triangle. For a sector, the area is A=1/2sr, where s is the arc length and r is the radius. Usually, this is put in the form ...
A = 1/2sr = 1/2(rθ)r
A = 1/2r²θ
The angle through which the pendulum sweeps is ...
(9°/s)(4 s) = 36° = (36°/180°)π radians = π/5 radians
Then the swept area is ...
A = 1/2(14 cm)²(π/5) = 19.6π cm² ≈ 61.58 cm²
Each complete right to left swing sweeps an area of about 61.58 cm².
__
3. Each rotation is 2π radians of angle, so the angular speed is ...
angle/time = (2π radians/revolution)(17 revolutions)/(32 s) = 17/16π radians/s
≈ 3.34 radians/s
The distance covered per unit time is found using the arc length formula above.
(arc length)/time = (rθ)/time = (25 cm)(17/16π rad/s)
= (426/16)π cm/s ≈ 83.45 cm/s . . . . . pulley rim speed
If a litre of juice costs 85, what would be the cost of 4 litres of juice?
Answer:
340
Step-by-step explanation:
To find the cost of 4 liters of juices, take the cost of 1 liter and multiply by 4
4 *85 = 340
Answer: It's $340
Step-by-step explanation:
4 liters of juice - 3 liters = 1 liter
Multiply 1 liter by 4 = 340 (4 x 85)
Answer: $340
Simplify the following completely, show all work. √-45
Answer:
[tex]3\sqrt{5}i[/tex]
Step-by-step explanation:
[tex]\sqrt{-45}[/tex]
[tex]\sqrt{-9*5}[/tex]
[tex]\sqrt{-9}\sqrt{5}[/tex]
[tex]3i\sqrt{5}[/tex]
[tex]3\sqrt{5}i[/tex]
Morning donuts recently sold 14 donuts, of which 7 we're cake donuts. Considering this data,how many of the next 6 donuts sold would you expect to be cake donuts
Answer:
Three of your next six donuts sold will be cake donuts.
Step-by-step explanation:
14:7 simplified to a unit ratio is 2:1. Using this information, we know that 6:3 is the ratio for the next 6 donuts.
Determine whether the stochastic matrix P is regular. Then find the steady state matrix X of the Markov chain with matrix of transition probabilities P. P=
0.22 0.20 0.65
0.62 0.60 0.15
0.16 0.20 0.20
Answer:
Step-by-step explanation:
Given that:
[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right][/tex]
For a steady-state of a given matrix [tex]\bar X[/tex]
[tex]\bar X = \left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]
As a result P[tex]\bar X[/tex] = [tex]\bar X[/tex] and a+b+c must be equal to 1
So, if P[tex]\bar X[/tex] = [tex]\bar X[/tex]
Then;
[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right]\left[\begin{array}{c}a\\b\\c\end{array}\right] =\left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]
[tex]\implies \left\begin{array}{ccc}0.22a+&0.20b+&0.65c\\0.62a+&0.60b+&0.15c\\0.16a+&0.20b+&0.20c\end{array} \right = \left \begin{array}{c}a ---(1)\\b---(2)\\c---(3)\end{array}\right[/tex]
Equating both equation (1) and (3)
(0.22a+ 0.2b + 0.65c) - (0.16a + 0.2b + 0.2c) = a - c
0.06a + 0.45c = a - c
collect like terms
0.06a - a = -c - 0.45c
-0.94 a = -1.45 c
0.94 a = 1.45 c
[tex]c =\dfrac{ 0.94}{1.45}a[/tex]
[tex]c =\dfrac{ 94}{145}a --- (4)[/tex]
Using equation (2)
0.62a + 0.60b + 0.15c = b
where;
c = 94/145 a
[tex]0.62a + 0.60b + 0.15(\dfrac{94}{145}) a= b[/tex]
[tex]0.62a + 0.15(\dfrac{94}{145}) a= -0.60b+b[/tex]
[tex]0.62a + (\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](0.62+\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](\dfrac{62}{100}+\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](\dfrac{1043}{1450})a= 0.40b[/tex]
[tex](\dfrac{1043}{1450})a= \dfrac{4}{10} b[/tex]
[tex](\dfrac{1043 \times 10}{1450 \times 4})a = \dfrac{4}{10} \times \dfrac{10}{4}[/tex]
[tex]b = (\dfrac{1043}{580}) a --- (5)[/tex]
From a + b + c = 1
[tex]a + \dfrac{1043}{580}a + \dfrac{94}{145} a = 1[/tex]
[tex]a + \dfrac{1043}{580}a + \dfrac{94*4}{145*4} a = 1[/tex]
[tex]a + \dfrac{1043}{580}a + \dfrac{376}{580} a = 1[/tex]
[tex]\dfrac{580+ 1043+376 }{580} a= 1[/tex]
[tex]\dfrac{1999}{580} a= 1[/tex]
[tex]a = \dfrac{580}{1999}[/tex]
∴
[tex]b = \dfrac{1043}{580} \times \dfrac{580}{1999}[/tex]
[tex]b = \dfrac{1043}{1999}[/tex]
[tex]c = \dfrac{94}{145} \times \dfrac{580}{1999}[/tex]
[tex]c= \dfrac{376}{1999}[/tex]
∴
The steady matrix of [tex]\bar X[/tex] is:
[tex]\bar X = \left[\begin{array}{c}\dfrac{580}{1999} \\ \\ \dfrac{1043}{1999}\\ \\ \dfrac{376}{1999}\end{array}\right][/tex]
Rewrite each equation in slope-intercept form 3x + 5y = 12
Answer:
y= -3/5x + 12/5
Step-by-step explanation:
Answer:
y= - 3/5 x 12/5
Step-by-step explanation:
See imagr below:)
Jennifer paid $3.75 for 3 doughnuts. What is the unit price for the doughnuts?
Answer:
Cost of one doughnut = $1.25
Step-by-step explanation:
Doughnut Cost
3 3.75
1 x
[tex]\frac{3}{1} = \frac{3.75}{x}\\\\3 \times x = 3.75 \times 1\\\\x = \frac{3.75}{3} = \$ 1.25[/tex]
Answer:
$1.25
Step-by-step explanation:
We need to find the cost of one doughnut.
the total price is $3.75
3.75/3 = 1.25
each doughnut costs $1.25
Graph the image of kite JKLM after a translation 3 units up.
A multiple-choice test contains 25 questions, each with 4 answers. Assume a student just guesses on each question. (a) What is the probability that the student answers more than 20 questions correctly
Answer:
9.68*10^-10
Step-by-step explanation:
The problem above can be solved using the binomial probability relation :
Where ;
P(x = x) = nCx * p^x * q^(n-x)
n = number of trials = 25
p = 1/4 = 0.25
q = 1 - p = 0.75
x = 20
P(x > 20) = p(x = 21) + p(x = 22) +.. + p(x = 25)
Using the binomial probability calculator to save computation time :
P(x > 20) = 9.68*10^-10
The base of a solid is a circular disk with radius 4. Parallel cross sections perpendicular to the base are squares. Find the volume of the solid.
Answer:
the volume of the solid is 1024/3 cubic unit
Step-by-step explanation:
Given the data in the question,
radius of the circular disk = 4
Now if the center is at ( 0,0 ), the equation of the circle will be;
x² + y² = 4²
x² + y² = 16
we solve for y
y² = 16 - x²
y = ±√( 16 - x² )
{ positive is for the top while the negative is for the bottom position }
A = b²
b = 2√( 16 - x² ) { parallel cross section }
A = [2√( 16 - x² )]²
A = 4( 16 - x² )
Now,
VOLUME = [tex]\int\limits^r -rA dx[/tex]
= [tex]\int\limits^4_4 {-4(16-x^2)} \, dx[/tex]
= 4[ 16x - (x³)/3 ] { from -4 to 4 }
= 4[ ( 64 - 64/3 ) - (-64 = 64/3 0 ]
= 4[ 64 - 64/3 + 64 - 64/3 ]
= 4[ (192 - 64 + 192 - 64 ) / 3 ]
= 4[ 256 / 3 ]
= 1024/3 cubic unit
Therefore, the volume of the solid is 1024/3 cubic unit
a cyclist and a motorist start from the same point at 8.30 am and travels in opposite directions. the cyclist at 12km and the motorist at 50km/hr,how far apart will they be at 10am
Answer:
Step-by-step explanation:
Given a circle with a diameter of which equation expresses it as the ratio of the circumference of a circle to its diameter?
Answer:
B. π = 8C/5
Step-by-step explanation:
Given the following data;
Diameter = ⅝
To find the ratio;
Mathematically, the circumference of a circle is given by the formula;
C = πD
Where;
C is the circumference of a circle.
D is the diameter of a circle.
Substituting the value of D, we have;
C = π * ⅝
Cross-multiplying, we have;
8C = 5π
π = 8C/5
What’s the answer to this question?
Answer:
its x^4
Step-by-step explanation:
its x^4
2. Anne needs to know how much of her back yard will be used by her new
circular pool. *
1 point
11 feet
What is the area of the pool? Use 3.14 for T.
Answer:
see below
Step-by-step explanation: 6 13 8 09
area = π r² is the equation to calculate the area of the pool r = radius
I don't no if the 1.11 ft is the diameter of the radius, so I will use the 1.11 ft as the diameter
diameter = 2×radius
diameter / 2 = radius
area = π (d/2)² = T (d/2)² d = diameter π = T
= 3.14(1.11 / 2)²
= 3.14 × (0.555)²
= 0.9677 ft² which seems like a small pool!
Ashley can ride her bicycle 15 miles in 2 hours. There are 60 minutes in 1 hour, and there are 1,760 yards in 1 mile. How many yards does Ashley travel in a minute ??
Answer:
220 yards in one minute
Step-by-step explanation:
15 miles in 120 minutes equals 26,400 (15 · 1760) yards in 120 minutes
26,400 yards in 120 minutes equals 220 yards in 1 minute (after dividing both 26400 and 120 by 120)
Answer:
220
Step-by-step explanation:
The first guy explained it, look above. I was about to say something similair
GIVING OUT BRAINLIEST HELP MEEE PLSS!!
Answer:
I'm like positive it's C...
Step-by-step explanation:
Answer:
45/28
Step-by-step explanation:
take angle R as reference angle
tan R=opposite/adjacent
=45/28
What is the y-intercept of the function f(x)=2•3x
Answer:
0
Step-by-step explanation:
f(x)=2•3x
f(x)=6x+0
What number had an experimental probability that matched its theoretical probability
Answer:
here
https://decabonner.weebly.com/uploads/1/6/4/8/1648294/day_1_-_practice_wksht_-_basic_probability_key.pdf
which qaudratic equation is equivalent to (x+2)^2+5(x+2)-6=0 a. (u+2)^2+5(u+2)-6=0 where u=(x-2) b. u^2+4+5u-6=0 where u= (x-2) c. u^2+5u-6=0 where u=(x+2) d. u^2+u-6=0 where u=(x+2)
Answer:
D
Step-by-step explanation:
Given
(x + 2)² + 5(x + 2) - 6 = 0
Using the substitution u = x + 2 , then the equation can be expressed as
u² + 5u - 6 = 0 → D
The perimeter of a rectangular field is 316 yards. If the length of the field is 84 yards, what is its width?
yards
$
? 2
a
Answer:
74
Step-by-step explanation:
84+84=168
316-168=148
148/2=74
Hhhelllllppp qqquuuiiiccckkk
Answer:
F
E or C (depending on the actual angles - see below in the details)
Step-by-step explanation:
two triangles are congruent, when after some rotation or mirroring they can cover each other exactly.
that means they must both have the same angles and side lengths.
these are the possible conditions to determine that 2 triangles are congruent (without knowing ALL of the sides and angles) :
SSS (Side-Side-Side) - all 3 sides of triangle 1 are exactly of the same length as the 3 sides of triangle 2.
SAS (Side-Angle-Side) - 2 sides and one angle are the same
ASA (Angle-Side-Angle) - 2 angles and the side between these 2 angles are the same
AAS (Angle-Angle-Side) - 2 angles and any not-included side are the same
RHS (Right angle-Hypotenuse-Side) - both triangles are right-angled (one angle is 90 degrees), and the Hypotenuse (the side opposite to the 90 degree angle) and another side are the same.
so, now look at a).
we only know the angles. but we could use a zoom lens of a camera and make them bigger and smaller, while their angles remain actually the same.
therefore, we cannot say, if they are actually congruent (only if their side lengths are the same too).
but we can say that they could be congruent.
and therefore also none of the congruent conditions apply, because for all of them we always need at least one side length. and we don't have that.
now looking at b)
I am not sure I can read one of the given angles correctly.
case one: I read the angles in triangle 2 as 66 and 58 degrees. that would make the third angle
180 - 66 - 58 = 56
but triangle 1 has the angles of 68, 54 and
180 - 68 - 54 = 58
=> the three angles are not the same, so the triangles are definitely not congruent
case two: I could read the angles in triangle 2 also as 68 and 58. that would make the third angle
180 - 68 - 58 = 54
and the side connecting the 68 and 58 angles has the same length, so the ASA criteria are fulfilled, and the triangles are congruent. C
