Answer:
Sum of 6 no. = 102X = 14
Let the unknown no. be X
mean= sum of all no. / no. of terms
17 = 15 + 17 + 20 + 22 + X+ X / 6
17 * 6 = 74 + 2X
102 - 74 = 2X
28 = 2X
28/2 = X
14= X
Simplify the root below
\frac{a}{b} \sqrt[]{ \frac{405}{324} }
Answer:
(√5)/2
Step-by-step explanation:
To simplify the root, we remove perfect squares.
__
Factors that are the same in numerator and denominator cancel. A square under the radical can have its root brought out of the radical.
[tex]\sqrt{\dfrac{405}{324}}=\sqrt{\dfrac{9^2\cdot5}{9^2\cdot2^2}}=\boxed{\dfrac{\sqrt{5}}{2}}[/tex]
I need this whole page solved please
Answer:
5. 540°
Step-by-step explanation:
m<a + m<c = 180°
m<h + m<f = 180°
m<k + m<m = 180°
Then m<a + m<c + m<h + m<f + m<k + m<m = 180° x 3 = 540°
I need the answer to this equation
Graph the linear function whose equation is y-2=-(x+1) by following these steps:
y
X
y
4
Step 1: Identify the slope.
slope = =
Answer:
slope == -1
Step-by-step explanation:
y-2 = -(x+1)
; y-2 = -x-1 expanding the bracket
; y = -x-1+2
; y = 1-x
hence slope equals -1
Evaluate the expression.
-2(12 - 2 (-4))²
What is the value of the expression?
Enter your answer in the box.
Answer:
-2(10(-4))²
-2(-40)²
-2 × 1600
= -3200
Answer: = -3200
Step-by-step explanation:
took the test
PLEASE ITS DUE TODAY
Complete the table for the given rule
Rule: Y = 4x
X | Y
5
3
4
Answer:
Answers are 20, 12 and 16
Step-by-step explanation:
Y=4x
for x = 5
y=4(5)
y=20
for x = 3
y=4(3)
y=12
for x = 4
y=4(4)
y=16
Answer:
X I Y
5 20
3 12
4 16
Step-by-step explanation:
since y=4 multiplied by x
so, 5x4=20
3x4=12
4x4=16
Complete the following table using the equation: y = -2x²
The parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The equation of the parabola will be
y = -x²
The given parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.
The graph of the function is given below.
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what is the name of the shape graphed by the function theta=-4pie/3
Step-by-step explanation:
On a polar plane, the shape will be a line that goes through the pi/2- pi quadrant , and 3pi/2- 2pi quadrant
On a Cartesian or rectangular plane, the shape will be a line as well passing through 2nd and 4th quadrant
PLEASE HELP
Write a rational function that meets the following criteria. Leave your answer in factored form.
• Vertical asymptote at x = -2
• Horizontal asymptote at y = 3 and a hole at x = -3
Answer:
Step-by-step explanation:
Given the data set (4,85),(7,92),(14,110), which of the following equation best represents a line of best fit
On the average, five smokers pass acertain street corners every ten minutes, what is the probability that during a given 10 minutes the number of smokers passing will be A. 6 or fewer B. 7 or more C. Exactly 8
Answer:
The answer will be A. 6 or fewer.
The probability that during a given 10 minutes the number of smokers passing will be 6 or fewer.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Example
Suppose we have to predict about the happening of rain or not. The answer to this question is either "Yes" or "No". There is a likelihood to rain or not rain. Here we can apply probability. Probability is used to predict the outcomes for the tossing of coins, rolling of dice, or drawing a card from a pack of playing cards.
Terminology of Probability TheoryThe following terms in probability help in a better understanding of the concepts of probability.
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
Given:
There are 5 smokers who passes by in every 10 minutes.
So, the probability that during a given 10 minutes the number of smokers passing will be approx 5 or less.
i.e., 6 or fewer.
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hey
can someone solve this 4 me
Answer:
∠a = 50°
∠b = 130°
∠c = 130°
Explanation:
Following Vertical Angles Theorem:
∠(2a - 50) = ∠a2a - 50 = a2a - a = 50a = 50A straight line has 180° angle measure, ∠c and ∠a lies on a straight line
∠c + ∠a = 180°∠c + 50° = 180°∠c = 180° - 50°∠c = 130°Also, following vertical angle theorem:
∠b = ∠c∠b = 130°25. Which of the following expresses 374,274
in scientific notation?
(1)
(2)
(3)
3.74274 x 105
3.74274 x 106
37.4274 X 106
374.274
x 105
× 103
(4)
(5) 3742.74
Ite
Answer:
3
Step-by-step explanation:
374274 =3.74274 x 100000=3.74272x 10^5
. Solve for the missing value (x).
Include the correct unit of measure in your answer.
12.5mg : 5mL = 24mg : x mL
The missing value of x will be 9.6 mL.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The equation is given below.
12.5 mg : 5 mL = 24 mg : x mL
Then the value of x will be
12.5 / 5 = 24 / x
x = (24 × 5) / 12.5
x = 9.6 mL
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helpp me please
Find the missing term.
The roots of x2 − ( ) + 34 are 5 ± 3i.
Answer: 10
Step-by-step explanation:
The sum of the roots is [tex](5+3i)+(5-3i)=10[/tex], so the answer is 10
A horse was galloping at average speed of 50km/hr for the first 12 minutes. For the next x minutes, the horse slowed down and it’s average speed decreases to 30km/hr. The average speed of the horse for the whole journey is 45km/h. Find its total distance travelled in kilometres
The total distance travelled is 1075.91 km.
What is average speed?The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity.
45 * (x +12)= 50* 1/5 + 1/2 *x
45x + 540= 10+ 0.5 x
44.5 x = 530
x= 11.91 (neglect the negative sign cause time can't be negative)
So, distance= 45* 23.91 = 1075.91 Km
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Please help with this difficult one...
The composite function is given as follows:
[tex](f \circ g)(x) = \frac{2x + 6}{3x + 22}[/tex]
The domain of the composite function is: [tex]\mathbb{R} - \left\{-\frac{22}{3}, 3\right\}[/tex]
What is the composite function of f(x) and g(x)?The composite function is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this problem, the functions are:
[tex]f(x) = \frac{2}{x + 3}[/tex].[tex]g(x) = \frac{13}{x + 3}[/tex].Hence the composite function is:
[tex](f \circ g)(x) = f\left(\frac{13}{x + 3}\right) = \frac{2}{\frac{13}{x + 3} + 3} = \frac{2(x + 3)}{13 + 3(x + 3)} = \frac{2x + 6}{3x + 22}[/tex]
For the domain, we have to remove the points outside the domain of both the primitive and the composite functions, that is, the zeroes of the denominators, hence:
[tex]x + 3 \neq 0 \rightarrow x \neq 3[/tex]
[tex]3x + 22 \neq 0 \rightarrow x \neq -\frac{22}{3}[/tex]
Hence the domain is:
[tex]\mathbb{R} - \left\{-\frac{22}{3}, 3\right\}[/tex]
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Determine the number of crawlers and rovers to make,that will maximize the company profit in a given week
Answer:
jjjijijijiiijijijijijijij no pliss inglés. ;D.
sub to oiVJDF NvlC Nvlkjxdv Nlkj;zsdn
Show me 2 line up and down are they parallelside by side on a graph
Two (2) lines are considered to be parallel if their slopes are the same (equal) and they do not intersect.
The condition for two parallel lines.In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts.
This ultimately implies that, two (2) lines are parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
In conclusion, two (2) parallel lines are shown in the image attached below for more understanding,
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given: f(x)=2x^2 and g(x)=x-8. Find f(g(x))
The value of the composite function f(g(x)) is 2(x-8)^2
Composite functionsComposite functions are functions in another function. Given the following functions
f(x)=2x^2 and
g(x)=x-8
Determine f(g(x))
f(g(x)) = f(x-8)
f(x-8) = 2(x-8)^2
f(g(x)) = 2(x-8)^2
Hence the value of the composite function f(g(x)) is 2(x-8)^2
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A tank weighs 5.6kg when it 1/4 filled with water.If it weighs 10.4kg when it is full ,what will be it's weight when it is empty.
Answer:
4 kg
Step-by-step explanation:
........................
Answer:
4 kg
Explanation:
Let the mass of tank be 't' and water 'w'
First equation : (when it is 1/4 filled with water)
[tex]\sf t + \frac{1}{4} w = 5.6[/tex]Second equation : (when it is filled fully with water)
[tex]\sf t +w = 10.4[/tex][tex]\sf w = 10.4 - t[/tex]Insert second equation into first equation :
[tex]\rightarrow \sf t + \dfrac{1}{4} (10.4 - t) = 5.6[/tex]
[tex]\rightarrow \sf t - \dfrac{1}{4} t + 2.6 = 5.6[/tex]
[tex]\rightarrow \sf \dfrac{3}{4} t = 5.6 - 2.6[/tex]
[tex]\rightarrow \sf \dfrac{3}{4} t = 3[/tex]
[tex]\rightarrow \sf t = 4[/tex]
The tank weights 4 kg when it is empty.
Which is the graph of f(c)=1/4(4)^x?
Answer: The graph shown
Step-by-step explanation:
Another graph of the function is attached in this answer.
Somebody please assist me solve
(2) The number of incoming calls reaching the switchboard of a computer per minute is thought to be a Poisson random variable with rate 6.5. Compute
i)The probability that during any given minute, the switchboard will
receive between 4 and 6 calls inclusive.
ii)The probability that the operator will have a breathing spell of at least
30 seconds between successive calls.
iii)The mean time lag between two calls.
Translate this sentence into an equation. Craig's savings decreased by 23 is .55
Answer:
x-23=.55
Step-by-step explanation:
Answer: 0.55 = x - 23
Step-by-step explanation:
let his savings = x
Solve for the values of x and y.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: x = 6 \:\: units[/tex]
[tex]{\qquad \tt \rightarrow \: y = 20° } [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Two sides and their opposite angles of a Triangle are given equal.
[tex]\large \textsf{ For x :} [/tex]
[tex]\qquad \tt \rightarrow \: 2x - 1 = x + 5[/tex]
[tex]\qquad \tt \rightarrow \: 2x - x = 5 + 1[/tex]
[tex]\qquad \tt \rightarrow \: x = 6 \: \: units[/tex]
[tex] \large\textsf{For y :} [/tex]
[tex]\qquad \tt \rightarrow \: 3y - 10 = y + 30 [/tex]
[tex]\qquad \tt \rightarrow \: 3y - y = 30 + 10[/tex]
[tex]\qquad \tt \rightarrow \: 2y = 40[/tex]
[tex]\qquad \tt \rightarrow \: y = 20 \degree[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Javier is going to a water park with his little brother, Caden. Since Caden is only 4 feet tall, they check to see if he is tall enough to ride the Super Slide. Sadly, the park's website says that he needs to be at least 52 inches tall. How many more inches does Caden need to grow before he is tall enough to ride the Super Slide?
Caden needs to grow 4 inches tall enough to ride the Super Slide.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that:-
Javier is going to a water park with his little brother, Caden. Since Caden is only 4 feet tall, they check to see if he is tall enough to ride the Super Slide. Sadly, the park's website says that he needs to be at least 52 inches tall.Caden's height = 4 feet
Min height to ride the Super slide is = 52 inches
Caden's height in inches will be:-
1 feet = 12 inches
4 feet = 12 x 4 = 48 inches.
The difference between the height will be given as:-
D = 50 - 48 = 4 inches
So Caden should grow his height by 4 inches to ride the super slide.
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One number is 2 more than another number. The product of the numbers is 440. Find the numbers.
Answer:
219,221
Step-by-step explanation:
the second number can be represented by the equation n1+2=n2
adding these expressions together you get
(n+2)+n=440
youre going to think of n now as just your first number because the equation solves for n1
with that you will get a number valued at 219
you then solve the first equation n1+2=n2 because we now know the value of n1
219+2=221
so the second numbers value is 221
Math Topic: Sum, Difference, and Product of two functions
Help with this!
The expression are; [tex](h - g) (x) = 3x^{3} -x^{2}[/tex], [tex](h + g) (x) = 3x^{3} +x^{2}[/tex] , [tex](h.g) (-1) = -3[/tex].
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given function;
g(x) = [tex]x^{2}[/tex]
h(x) = [tex]3x^{3}[/tex]
The expression;
[tex](h - g) (x) = 3x^{3} -x^{2}[/tex]
[tex](h + g) (x) = 3x^{3} +x^{2}[/tex]
[tex](h.g) (-1) = x^{2} .3x^{3} \\\\(h.g) (-1) = 3x^5\\\\(h.g) (-1) = 3(-1)^5\\\\(h.g) (-1) = -3[/tex]
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I need someone to do this for me please!
Thank you so much in advance :D
Answer:
[tex] \cfrac{61}{24} [/tex]
Step-by-step explanation:
Given expression:
[tex] \cfrac{2}{3} + \bigg(\cfrac{5}{2} \bigg) {} ^{ 2} \times \cfrac{3}{10} [/tex]
Solution:
Simplify using PEMDAS.
[tex] = \sf \cfrac{2}{3} + \cfrac{25}{4} \times \cfrac{3}{10} \\ \\ = \cfrac{2}{3} + \cfrac{15}{8} \\ \\ = \cfrac{16 +45 }{24} \\ \\ = \boxed{\cfrac{61}{24} }[/tex]
Done!
Answer:
[tex]\frac{61}{24}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] + ( [tex]\frac{5}{2}[/tex] )² × [tex]\frac{3}{10}[/tex] ← evaluate exponent
= [tex]\frac{2}{3}[/tex] + [tex]\frac{25}{4}[/tex] × [tex]\frac{3}{10}[/tex] ← evaluate multiplication ( cancel 25 and 10 by 5 )
= [tex]\frac{2}{3}[/tex] + [tex]\frac{5}{4}[/tex] × [tex]\frac{3}{2}[/tex]
= [tex]\frac{2}{3}[/tex] + [tex]\frac{15}{8}[/tex] ← evaluate addition
= [tex]\frac{2(8)}{3(8)}[/tex] + [tex]\frac{15(3)}{8(3)}[/tex]
= [tex]\frac{16}{24}[/tex] + [tex]\frac{45}{24}[/tex]
= [tex]\frac{61}{24}[/tex]