Answer:
45
Step-by-step explanation:
Flip the fraction, 1/5 to 5/1, and reverse the equation to a multiplication problem.
[tex]1/5 \rightarrow 5/1\\9 \cdot 5/1 = 45[/tex]
Let me know if you have questions or concerns.
Which combination represents the empty set? motor ⋃ manual motor ⋃ bicycle motor ∩ manual motor ∩ bicycle
The combination that denotes the empty set{∅} is motor ∩ bicycle.
What is a set theory?Set theory is the mathematical study of well-defined groups of things called elements of the set.
In the given Venn diagram, the elements in the set of Motor, Manual, and Bicycle are as follows:
Motor = {8, 24}Manual = {24, 32}Bicycle = {44}The union of motor and manual i.e. Motor ⋃ Manual = {24}The combination that represents an empty set {∅} is the intersection that occurred between motor and bicycle and can be expressed as:
= motor ∩ bicycle
This is because there are no set elements overlapping between motor and bicycle, this makes it an empty set{∅}.
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Answer: motor U bicycle
Step-by-step explanation:
Simplify and express your answer in both polar and standard form.
Question 1
(7 cis(45°))²
Q2 below
(-2+2i√3)^5
Simplifying and expressing each term in standard and polar form are respectively; 49/2 and -512 - 512i√3
How to express an equation in polar form?
1) We are given the expression;
[7 cos (45)]²
We know that cos (45) in standard form is 1/√2. Thus;
[7 cos (45)]² = (7 * 1/√2)² = 49/2
2) We are given the expression;
(-2 + 2i√3)⁵
Using binomial theorem, we have;
(−2)⁵ + 5(−2)⁴ (2i√3) + 10(−2)³(2i√3)² + 10(−2)²(2i√3)³ + 5 * −2(2i√3)⁴ + (2i√3)⁵
Simplifying each term gives;
−32 + 160i√3 + 960 − 960i√3 −1440 + 288i√3
⇒ -512 - 512i√3
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What percent of 3 is 1.8
Answer:
60%
Step-by-step explanation:
Step-by-step explanation:
100% = 3
1% = 100%/100 = 3/100 = 0.03
how many % are 1.8 ? well, as many % as 1% fits into 1.8 :
1.8 / 0.03 = 60%
Find 5-(-7).
5-(-7)=5+
Write as addition.
Answer: The answer is 5+28.
Step-by-step explanation:
First of all, you have to distribute the term in front of the parenthesis into the term(s) inside of it. In this case, “5-” is not a term because the “-” symbol is following it. However, we can distribute that particular symbol into the parenthesis. We then have 5+ 28 because - x - = +, and 5 x 7 - 5 = 28.
Use a net to find the surface area of the cone to the nearest square centimeter. Use 3.14 for л. The surface area of the cone is about cm². (Round to the nearest whole number as needed.) 19 cm 4 cm (The figure is not drawn to scale.)
The surface area of the cone rounded to the nearest whole number is; 289 cm².
How to determine the cone surface area?We are given the parameters:
Radius; r = 4 cm
Slant height; l = 19 cm
Let us first calculate the base area;
The base is a circle and the area formula for a circle is;
A = πr²
Thus;
A = π(4 cm)²
A = 50.24 cm²
Lateral area;
The circumference of a circle is given by the formula;
C = 2πr
C = 2(π)(4 cm)
C = 25.12 cm
This circumference is the arc length of the sector
The area of the sector is;
A = 1/2hs
where;
h is the radius of the sector.
s is its arc length
Thus;
A = ¹/₂(19 cm)(25.12 cm)
A = 238.64 cm²
The total surface area is;
SA = 50.24 cm² +238.64 cm²
S.A = 288.88 cm² ≈ 289 cm²
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Answer:
289 cm²
Step-by-step explanation:
The net for the surface area of a cone is a circular sector representing the lateral area, together with a circle representing the area of the base. The arc length of the sector is equal to the circumference of the base.
__
base areaThe area of the circular base is given by the area formula for a circle:
A = πr²
For the given radius, the area is ...
A = (3.14)(4 cm)² = 50.24 cm²
lateral areaThe circumference of the circular base is ...
C = 2πr = 2(3.14)(4 cm) = 25.12 cm . . . . also the arc length of the sector
The area of the sector is ...
A = 1/2hs . . . . where h is the radius of the sector, and s is its arc length
A = (1/2)(19 cm)(25.12 cm) = 238.64 cm²
total surface areaThe total surface area is the sum of the base area and the lateral area:
SA = 50.24 cm² +238.64 cm² = 288.88 cm² ≈ 289 cm²
The surface area of the cone is about 289 cm².
simplify the following expression 5‐³
1/5×1/5×1/5=1/125
$ give me a dollar $
Which ratio is equivalent to cos U?
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER
Answer:
(a) SW/VW
Step-by-step explanation:
In similar triangles ΔTUS and ΔVWS, corresponding angles are congruent. That means angle W will have the same measure and trig function values that angle U has.
The mnemonic SOH CAH TOA reminds you that the cosine ratio in this right triangle is ...
Cos = Adjacent/Hypotenuse
__
In ΔVWS, the side adjacent to angle W is side SW. The hypotenuse of the triangle is side VW. Then the cosine of interest is ...
cos(U) = cos(W) = SW/VW
Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 5 x squared minus 3. g (x) = 5 x squared + 3.
a.
both f and g open downward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
b.
both f and g open upward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
c.
both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
d.
both f and g open downward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
The similarities/differences observed in the graph is (c) both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
How to describe the similarities/differences?The equations are given as:
f(x) = 5x² - 3
g(x) = 5x² + 3
Next, we plot the above equations on the same plane (see attachment)
From the attached graph, we can see that:
Both functions open upwardThe lowest point of f(x) is at y = 3; i.e 3 units above the x-axisThe lowest point of g(x) is at y = -3; i.e 3 units below the x-axisHence, the similarities/differences observed in the graph is (c)
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I need help with this problem, please explain
Answer:
v = 164.64
Step-by-step explanation:
Your friend forgot to divide 6.8 by two as 6.8 is the diameter not the radius. The volume equation needs the radius so you divide 6.8 by 2 which equals 3.4 thats what inputed into the volume equation
I need this answer quickly please :)
monkey B
Step-by-step explanation:
f(x) = 16x2 + 32x − 9?
Step-by-step explanation:
c beacuse if you subtract 8 by 2 you get 6 times x
solve pls brainliest
Answer:
4 pt = 8 cups
28 qt = 7 gallons
Step-by-step explanation:
We know, from your chart, that 1 p = 2 c
4 p is four times 1 p
so, to scale up 1 pint to 4 pints, we multiply by 4
to figure out what the corresponding number of cups would be, we also have to multiply that value by 4
if 1 p = 2 c
then 4 p = 8 c
(1 x 4) (2 x 4)
8 cups
--------
If we have 28 quarts, and we know that 4 quarts is 1 gallon, we can divide 28 / 4 to find how many gallons are in 28 quarts (or, how many gallons can be made of 28 quarts)
28 / 4 = 7
7 gallons
Lulu has 10 feet of ribbon. She uses 1 feet of ribbon for a project. She uses the
rest of the ribbon to make bows. She uses 8 inches of ribbon for each bow.
How many bows does Lulu make? Show your work.
10-1 = 9 feet left
9 x 12 = 108 inches
108 / 8 inches per bow = 13.5 bows
she can make 13 bows
Solve the following absolute value equation. |2+1 = 3 3 2 = -[ ]
Answer:
Sorry
Step-by-step explanation:
I not know this one
I'm struggling on finding a step-through for this question, can anyone help? (x+5)(2x+3)-3(x-2)(6x+5)
[tex]~~(x+5)(2x+3)-3(x-2)(6x+5)\\\\=2x^2 +3x + 10x +15 - (3x-6)(6x+5)\\\\=2x^2 +13x +15 - (18x^2 +15x -36x -30)\\\\=2x^2+13x+15-(18x^2 -21x-30)\\\\=2x^2 +13x+15-18x^2 +21x +30\\\\=-16x^2 + 34x+45[/tex]
300% of 7 is what percent of 42?
A. 30%
B. 50%
C. 60%
D. 12.5
Pls show work or don’t answer thanks
Answer:
B) 50%
Step-by-step explanation:
300% is the same as 3. So to find 300% of 7 you do 3 times 7 and get 21.
Now you need to find _% times 42 = 21. Divide 21/42 to get 0.5. This is the same thing as 50%.
Hope it helps and have a nice day! :)
The temperature, t, in degrees celsius, in a warehouse changes according to the function t(h) = 18 + 4sin(pi/12 (x = 8)).
where h is the number of hours since midnight. at what rate is the temperature changing at 9 a.m.?
Answer:
about 1.01 °C per hour
Step-by-step explanation:
We assume the intended temperature function is ...
t(h) = 18 +4·sin(π/12(h -8))
We are asked for the rate of change when h=9.
__
derivativeThe rate of change of temperature with respect to time is the derivative of t(h) with respect to h.
t'(h) = 4(π/12)cos(π/12(h -8)) = π/3·cos(π/12(h -8))
at 9 amFor h = 9 hours after midnight, the rate of change is ...
t'(9) = π/3·cos(π/12(9 -8)) = π/3·cos(π/12) ≈ (3.14159)(0.965926)/3
t'(9) ≈ 1.01152
The rate of change of temperature at 9 a.m. is about 1.01 °C/hour.
using the equation y^2=-5/4(x-2), find the equation of the directrix
Answer:
Step-by-step explanation:
since its a horizontal parabola opening to the right we use a formula for the directrix
x=h-p 4p=5/4 p=5
X= -3 v(h,k)=(2,0)
According to the general equation for conditional probability, if P(AB) =
4/5
and P(B) = 5/6, what is P(AIB)?
A.15/16
B.35/36
C.8/9
D.24/25
Answer:
[tex]\sf D. \quad P(A|B)=\dfrac{24}{25}[/tex]
Step-by-step explanation:
General equation for conditional probability
[tex]\sf P(A \cap B)=P(A)\:P(B|A)[/tex]
As we need to find P(A|B) we can rewrite the equation:
[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]
Given:
[tex]\sf P(A \cap B)=\dfrac{4}{5}[/tex]
[tex]\sf P(B)=\dfrac{5}{6}[/tex]
Remember that [tex]\sf P(A \cap B)=P(B \cap A)[/tex]
Substitute the given values into the formula:
[tex]\implies \sf P(B \cap A)=P(B)\:P(A|B)[/tex]
[tex]\implies \sf \dfrac{4}{5}=\dfrac{5}{6}\:P(A|B)[/tex]
[tex]\implies \sf P(A|B)=\dfrac{4}{5} \div \dfrac{5}{6}[/tex]
[tex]\implies \sf P(A|B)=\dfrac{4}{5} \times \dfrac{6}{5}[/tex]
[tex]\implies \sf P(A|B)=\dfrac{24}{25}[/tex]
does someone mind helping me with this question? Thank you!
Answer: 81
Step-by-step explanation:
Since x is given, just substitute the value.
5(10) + 31
50 + 31 = 81
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
The given expression is :
[tex]\qquad \sf \dashrightarrow \:5x + 1[/tex]
now, plug in the values of x as 10
[tex]\qquad \sf \dashrightarrow \:5(10) + 31[/tex]
[tex]\qquad \sf \dashrightarrow \:50 + 31[/tex]
[tex]\qquad \sf \dashrightarrow \:81[/tex]
So, required value is 81
Takeout orders on a typical saturday
hours since noon
(x)
number of
takeout orders
(v)
0
0
12
9
10
11
8
6
7
2
3
4
1
6
14
24
28
30
16
5
6
12
10
3
0
Pleazzzz helpppp meee!!!
Does anybody know this? I keep getting different answers that don t make sense. Find the surface area of the cone
Which trigonometric function requires a domain restriction of [0, pi/2) ∪ (pi/2 , pi]
The ANSWER is f(x) = secx ----- PLEASE EXPLAIN THANK YOU!!!!!
The trigonometric function requires a domain restriction of [0, π/2) ∪ (π/2, pi] is tan x, sec x.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
tan x = (sin x)/(cos x)
sec x = 1/(cos x)
cos x becomes zero at {-π/2,π/2}
Therefore, the both of the function are undefined at {-π/2,π/2}
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Which is a true statement about the dot plot?
The team never scored exactly 2 goals in a single game.
The team scored exactly 1 goal in 3 games this season.
The most goals the team scored in a single game were 8.
The team scored exactly 3 goals in 4 games this season.
The statement that is true about the given dot plot is: A. Exactly 2 goals was never scored by the team in a single game.
What is a Dot Plot?A dot plot is a graphical representation of data using dots to denote the frequency of one data point in a distribution.
In the dot plot given, for number of goals scored per game, the data point 2 has no dot. Therefore, the statement that is true about the dot plot is: A. Exactly 2 goals was never scored by the team in a single game.
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what’s the best necklace length for a 5’0 female?
A. 16 inches
B. 18 inches
Answer:
18 inches
Step-by-step explanation:
The most frequent chain length for women's necklaces is 18 inches. This size is appropriate for a lady of medium height and weight.
In general, when solving a radical equation with square roots, you should first
isolate the __and then square both sides.
A. variable
B. radical
C. operator
D. coefficient
The correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.
How to solve radical equations?To solve radical equations, one common technique is to isolate the radical term first, then take both sides of the equation to a power to remove the radical.
Therefore the correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.
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What is the absolute deviation of 4 in this data set?
{6, 22, 14, 9, 11, 4}
02
O 3
07
11
Answer:
n
6
Mean
11
Average Absolute Deviation (MAD)
4.6667
Step-by-step explanation:
From your observation : x⁰=
Answer:
=1
Step-by-step explanation:
A survey was taken of children between the ages of 7 and 12. Let A be the event that the person rides the bus to school, and let B be the event that the person has 3 or more siblings. A 6-column table has 5 rows. The first column has entries walks to school, bikes to school, rides bus to school, driven to school, total. The second column is labeled 0 siblings with entries 24, 8, 18, 32, 82. The third column is labeled 1 sibling with entries 37, 9, 36, 58, 140. The fourth column is labeled 2 siblings with entries 12, 8, 12, 22, 54. The fifth column is labeled 3 or more siblings with entries 3, 2, 9, 10, 24. The sixth column is labeled Total with entries 76, 27, 75, 122, 300. Which statement is true about whether A and B are independent events
The statement that is true about whether A and B are independent events is D. A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25.
How to depict the events?Let A be the event that the person rides the bus to school, then:
P(A) = 75/300
P(A) = 0.25
Let B be the event that the person has 3 or more siblings, then:
P(B) = 24/300 = 0.25
P(A/B)=9/24
P(A/B)=0.375
Since P(A/B)=0.375 is different from P(A)=0.25 the events are not independent.
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HELP PLS….Volume of cones
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for and round your final answer to the nearest hundredth.
Answer:
20.93 units cubed
Step-by-step explanation:
[tex]V = \frac{3.14(2)^{2}(5) }{3} \\V = \frac{3.14(4)(5) }{3}\\V = \frac{62.8 }{3}\\V = 20.93[/tex]