Answer:
a) 75 m lower
b) 308 m
Step-by-step explanation:
a) -131 - -206 = 75
b) -206 + 514 = 308
identify the angles relationship
Evaluate z^2−3z+4, when z = −4
Answer:
32
Step-by-step explanation:
(-4)^2 -3(-4) +4=16+12+4
=32
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {32}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex] {z}^{2} - 3z + 4[/tex]
Plugging "[tex] -4[/tex]" for all values of "[tex]z[/tex]", we have
[tex] = ({ - 4})^{2} - 3( - 4) + 4[/tex]
[tex] = ( - 4 \times - 4) + 12 + 4[/tex]
[tex] = 16 + 12 + 4[/tex]
[tex] = 32[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]
Write the monomial in its standard form. Name its coefficient and
identify its degree:
2
3
2 mºn :4.573
Answer:
A monomial in standard form is (essentially) the product of one or more factors: a constant coefficient and one factor for each variable in the expression.
Step-by-step explanation:
For example, in the monomial 4x2y3, the factors are 4, x2, and y3. First, the coefficient is 4. The next factor, x2, is the x-factor, whose degree is 2.
which is the best stock you can invest now in 2021, or where I can learn to invest in stock market
Use the functions below to complete Parts 1 and 2.
f(x)= |x| g(x)= |x+2| - 3
Part 1: Graph f(x) and g(x) on the grid below. Label each graph.
HINT: Making a table of values for each function may help you to graph them.
Part 2: describe how the graph of g(x) relates to the graph of its parent function, f(x).
HINT: Think about how f(x) was shifted to get g(x).
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Answer:
1. see below
2. g(x) is f(x) translated left 2 and down 3
Step-by-step explanation:
1. The graphs are attached. F(x) is in red; g(x) is in blue.
__
2. The graph of g(x) = f(x -h) +k is the parent function translated by (h, k). Here we have (h, k) = (-2, -3), so g(x) is f(x) translated left 2 and down 3.
Hiiii can u please pls pls pls
Answer:
x | y
0 | 0
6 | 2
12 | 4
Step-by-step explanation:
Multiply each x value in the table by 1/3 to get 0, 2, and 4 for your y values.
Answer:
x y
0 0
6 2
12 4
Step-by-step explanation:
Is means equals
The equation is
y = 1/3 x
Let x = 0
y = 1/3 (0) = 0
Let x = 6
y = 1/3 (6) = 2
Let x = 12
y = 1/3 (12) = 4
Evaluate − x 2 −5 y 3 when x = 4 and y =−1
Answer:
-11
Step-by-step explanation:
I am going to assume that it is -x^2-5y^3.
-(4^2)-5(-1^3)
-16-5(-1)
-16+5
-11
Answer:
- 11
Step-by-step explanation:
If x = 4, y = -1
then,
- x^2 - 5y^3 = - (4)^2 - 5(-1)^3
= - 16 + 5
= - 11
Someone please help me I’m having trouble!!!!
Answer:
(c) [tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]
(d) [tex](x,y) = (0.67,2.33)[/tex]
Step-by-step explanation:
Given
See attachment
First, we complete the table
[tex]y = -x + 3[/tex] [tex]y = 2x + 1[/tex]
[tex]y = -0.6 + 3 = 2.4[/tex] [tex]y = 2 * 0.6 + 1 = 2.2[/tex]
[tex]y = -0.7 + 3 = 2.3[/tex] [tex]y = 2 * 0.7 + 1 = 2.4[/tex]
[tex]y = -0.8 + 3 = 2.2[/tex] [tex]y = 2 * 0.8 + 1 = 2.6[/tex]
[tex]y = -0.9 + 3 = 2.1[/tex] [tex]y = 2 * 0.9 + 1 = 2.8[/tex]
So, we have:
[tex]\begin{array}{ccc}x & {y = -x + 3} & {y = 2x + 1} & {0.5} & {2.5} & {2} & {0.6} & {2.4} & {2.2} & {0.7}&{2.3} & {2.4} & {0.8}&{2.2} & {2.6} & {0.9}&{2.1} & {2.8} & {1}&{2} & {3} \ \end{array}[/tex]
Solving (c): Between which values is y
The values of y are for both equations are closest at:
[tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]
Hence, the solution is between
[tex]x = 0.6[/tex] and [tex]x = 0.7[/tex]
Solving (d): Approximated value of the solution
We have:
[tex]y = -x + 3[/tex]
[tex]y = 2x + 1[/tex]
[tex]y=y[/tex]
So:
[tex]-x + 3 = 2x + 1[/tex]
Collect like terms
[tex]2x + x = 3 - 1[/tex]
[tex]3x= 2[/tex]
Divide both sides by 3
[tex]x = 0.67[/tex]
Substitute [tex]x = 0.67[/tex] in [tex]y = -x + 3[/tex]
[tex]y =-0.67 + 3[/tex]
[tex]y =2.33[/tex]
So, the solution is:
[tex](x,y) = (0.67,2.33)[/tex]
−3 1/2 ÷ 1 1/4
khan academy
answer in simplified proper fraction
or
simplified improper fraction
Answer:
Step-by-step explanation:
Change the mixed numbers to improper fractions.
The number 0 is a critical point of the autonomous differential equation dx/dt = 7xn, where n is a positive integer. For what values of n is 0 asymptotically stable? Semi-stable? Unstable?
Answer:
a) 0 is stable when n = odd
b) 0 is semi-stable when n = even
c) 0 is unstable when n is odd
Step-by-step explanation:
Th differential equation for this question
dx/dt = x^n
n = positive integer
a) value of n where 0 is stable
0 is stable when x^n is replaced with -x^n
because considering n to be an odd number
-x^n > 0 when x < 0 while -x^n < 0 when x > 0
∴ In this scenerio we can conclude that 0 is stable when n = odd number
b) Value of n where 0 is Semi-stable
assuming n is an even number
x^n > 0 for all the values of x
c) Value of n where 0 is unstable
lets assume n is odd
when n < 0, xⁿ < 0
when n > 0, xⁿ > 0
i.e. 0 is asymptotically unstable when n is an odd number
Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. If it takes the hot water faucet minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?
Do not do any rounding.
Answer:
[tex]Cold = \frac{1}{6}\ mins[/tex]
Step-by-step explanation:
The correct given parameters are:
[tex]Both = \frac{1}{4}\ mins[/tex]
[tex]Hot = \frac{1}{12}\ mins[/tex]
Required
Time taken by the cold water faucet
We have:
[tex]Cold + Hot = Both[/tex]
Make Cold the subject
[tex]Cold = Both -Hot[/tex]
So, we have:
[tex]Cold = \frac{1}{4}-\frac{1}{12}[/tex]
Take LCM
[tex]Cold = \frac{3-1}{12}[/tex]
[tex]Cold = \frac{2}{12}[/tex]
Divide by 2
[tex]Cold = \frac{1}{6}[/tex]
If he is correct, what is the probability that the mean of a sample of 68 computers would differ from the population mean by less than 2.08 months
Complete Question
The quality control manager at a computer manufacturing company believes that the mean life of a computer is 91 months with a standard deviation of 10 months if he is correct. what is the probability that the mean of a sample of 68 computers would differ from the population mean by less than 2.08 months? Round your answer to four decimal places. Answer How to enter your answer Tables Keypad
Answer:
[tex]P(-1.72<Z<1.72)=0.9146[/tex]
Step-by-step explanation:
From the question we are told that:
Population mean \mu=91
Sample Mean \=x =2.08
Standard Deviation \sigma=10
Sample size n=68
Generally the Probability that The sample mean would differ from the population mean
P(|\=x-\mu|<2.08)
From Table
[tex]P(|\=x-\mu|<2.08)=P(|z|<1.72)[/tex]
T Test
[tex]Z=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]Z=\frac{2.08}{\frac{10}{\sqrt{68} } }[/tex]
[tex]Z=1.72[/tex]
[tex]P(|\=x-\mu|<2.08)=P(|z|<1.72)[/tex]
[tex]P(-1.72<Z<1.72)[/tex]
Therefore From Table
[tex]P(-1.72<Z<1.72)=0.9146[/tex]
What is the product?
(-2d^2+5)(5d^2-6s)
Answer:
= -10d^4 + 12d^2s + 25d^2 - 30s
By the third day of a particular week, 2 accidents have already occurred in the intersection. What is the probability that there will be less than a total of 4 accidents during that week
Answer:
The right answer is "0.70".
Step-by-step explanation:
The given query seems to be incomplete. Please find below the attachment of the full query.
By using the Bayes' theorem, we get
⇒ [tex]P[(X<4)|(X \geq 2)] = \frac{P(2 \leq X < 4)}{P(X \geq 2)}[/tex]
By putting the values, we get
[tex]=\frac{[P(2)+P(3)]}{[1-P(0)-P(1)]}[/tex]
[tex]=\frac{(0.20+0.15)}{1-0.20-0.30}[/tex]
[tex]=\frac{0.35}{0.5}[/tex]
[tex]=0.70[/tex]
HELPP PLEASEEEEEEEEEEEEEEEEEEEEEE
The sum of 6 and 12 divided by 9.
A classic counting problem is to determine the number of different ways that the letters of "Mississippi"can be arranged. Find that number.
Answer:
34, 650
Step-by-step explanation:
Given that,
The word = Mississippi
To find,
No. of different ways in which the letters of this word can be arranged = ?
Procedure:
Using the permutation rule as it is the case of repetition of identical items for finding the possibilities.
No. of letters in 'Mississippi' = 11
Letter 'i' appears = 4 times
Letter 's' appears = 4 times
Letter 'm' appears = 1 time
Letter 'p' appears = 2 times
So,
No. of possibilities = 11 ! ÷ (4 ! 4 ! 1 ! 2 !)
= (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 *1)/(4 * 3 *2 * 1)(4 * 3 *2 * 1)(1)(2 * 1)
= 11 * 10 * 9 * 7 * 5
= 34,650
5(u-3)-3=-3(-6u+4)-3u
Answer:
u = -3/5
Step-by-step explanation:
5(u-3) - 3 = -3(-6u + 4) - 3u
(5u - 15) - 3 = (18u - 12) - 3u
5u - 18 = 15u - 12
-18 = 10u - 12
-6 = 10u
u = -6/10
u = -3/5
A ball is thrown from an initial height of 7 feet with an initial upward velocity of 23 ft/s. The ball's height h (in feet) after 1 seconds is given by the following.
h = 7+23t-16t^2
Find all values of 1 for which the ball's height is 15 feet.
Answer:
Step-by-step explanation:
If we are looking for the time(s) that the ball is at a height of 15, we simply sub in a 15 for the height in the position equation and solve for t:
[tex]15=-16t^2+23t+7[/tex] and
[tex]0=-16t^2+23t-8[/tex]
Factor this however you factor a quadratic in class to get
t = .59 seconds and t = .85 seconds.
This means that .59 seconds after the ball was thrown into the air it was 15 feet off the ground. Then the ball reached its max height, gravity took over, and began pulling it back down to earth. The ball passes the height of 15 feet again on its way down after .85 seconds.
I need help with this it is very confusing.
Answer:
Part A: 90 + 6x = 108
Part B: 3
Step-by-step explanation:
Part A:
Variable x = number of movie tickets purchased
18 × 5 + 6x = 108
90 + 6x = 108
Part B:
Variable y = number of people
18y + 1(7) = 61
18y + 7 = 61
18y = 54
y = 3
There were 3 people in this group.
If x ^ 3 + 6x ^ 2 + 4x + k is exactly divisible by (x + 2) , then k is equal to
Answer:
[tex]k=-8[/tex]
Step-by-step explanation:
According to the Polynomial Remainder Theorem, if we have a polynomial P(x) divided by a binomial in the form of (x - a), then the remainder will be given by P(a).
And according to the Factor Theorem, if the remainder of P(x) / (x - a) is zero: that is, if P(a) = 0, then (x - a) is a factor of P(x).
We are given the polynomial:
[tex]P(x)=x^3+6x^2+4x+k[/tex]
And we know that it is divisible by:
[tex](x+2)[/tex]
We can rewrite our divisor as (x - (-2)). Hence, a = -2.
According to both the PRT and Factor Theorem, P(-2) must equal 0. Hence:
[tex]P(-2)=0[/tex]
Substitute:
[tex](-2)^3+6(-2)^2+4(-2)+k=0[/tex]
Solve for k. Simplify:
[tex](-8)+6(4)-8+k=0[/tex]
Hence:
[tex]k=-8[/tex]
Suppose a jar contains 9 red marbles and 40 blue marbles. If 2 marbles are randomly chosen from the jar at
the same time, find the probability that both marbles are red. Round your answer to four decimal places.
Answer:
0.0306
Step-by-step explanation:
I don't know if there is any significance to both being drawn at the same time. I'm going to say there isn't.
The first draw gives
9/49
Their is no replacement. That's because both marbles are drawn together. The second draw is
8/48
P(both red) = 9/49 * 8 / 48 = 3/98 = 0.03061 which rounds to 0.0306
write your answer in simplest radical form
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Answer:
f = 3 units
Step-by-step explanation:
The ratios of side lengths in this 30°-60°-90° triangle are ...
1 : √3 : 2
So, the ratio of interest is ...
1 : √3 = √3 : f
We can see that the numbers in the second ratio are √3 times the numbers in the first ratio, so
f = √3 × √3 = 3
f = 3 units
Which statement is true about the net and the solid it can form?
A. The length of side a will be 5 m.
B. The length of side b will be 2 m.
C. The length of side c will be 7 m.
D. The length of side c will be 2 m.
Step-by-step explanation:
Option B
The length of side will be 2m...
hope it helps
Suppose f(x)=x^2. What is the graph of g(x)=1/2f(x)?
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Answer:
see attached
Step-by-step explanation:
The graph of g(x) is a vertically scaled version of the graph of f(x). The scale factor is 1/2, so vertical height at a given value of x is 1/2 what it is for f(x). This will make the graph appear shorter and fatter than for f(x).
The graph of g(x) is attached.
Lisa reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:
A graph titled Lisas Book Reading shows Number of Weeks on the x-axis and Number of Pages Left on the y-axis. The scale on the x-axis shows numbers from 0 to 6 at increments of 1, and the scale on the y-axis shows numbers from 0 to 350 at increments of 50. A straight line joins the ordered pairs 0, 250 and 1, 200 and 2, 150 and 3, 100 and 4, 50 and 5, 0.
Which equation best models the relationship between x and y?
y = −50x + 250
y = −5x + 50
y = −50x + 350
y = −5x + 250
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Answer:
(a) y = −50x + 250
Step-by-step explanation:
In case you don't realize that the graph starts at 250 and decreases by 50 for each increase of 1 in x, you can see if any of the equations match the given points. The only one that does is the first one:
y = -50x +250
Answer:
(a) y = −50x + 250
Step-by-step explanation:
There are 40 children in a classroom and n of them do not wear spectacles. (4)/(5) of the boys and (2)/(3) of the girls wear spectacles. Express the number of boys who wear spectacles in terms of n.
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Answer:
b = 80 -6n . . . . boys who wear spectacles
Step-by-step explanation:
We know the ratio of boys who wear spectacles to those who don't is ...
(4/5) : (1 -4/5) = 4 : 1
If we let b represent the number of boys who wear spectacles, then the number who don't is b/4. Then total number of boys is then b +b/4 = 5b/4. The number of girls in the classroom is this number less than 40.
Let's define a few groups:
boys who wear spectacles: bboys who do not wear spectacles: b/4girls who wear spectacles: (2/3)(40 -5b/4)girls who do not wear spectacles (1/3)(40 -5b/4)Then the total of children who do not wear spectacles is ...
n = b/4 +(1/3)(40 -5b/4)
12n = 3b +(160 -5b) = 160 -2b . . . . multiply by 12
2b = 160 -12n . . . . . . . . . . . . . add 2b-12n
b = 80 -6n . . . . the desired relation, b = boys who wear spectacles
_____
Additional comment
The only values of n that make sense in this context are {8, 10, 12}, corresponding to {0, 15, 30} total girls and {40, 25, 10} total boys.
What is the solution to this equation?
6
O A. x = 18
O B. x= -2
O c. x= -18
O D. X= 21
If Sultan Akbar goes to the Grand Bazaar With 8000 Rupees and 20% is spent on a carpet, how much has the carpet cost him?
Si el sultan Akbar va al Gran Bazar Con 8000 Rupias y se gasta el 20 % en una alfombra, cuanto le ha costado la alfombra?
Answer:
1600 Rupees
Step-by-step explanation:
20 divided by 100 times 8000 will give you 1600 so the carpet costed him 1600
People's movements between places is called
Answer:
The three answers I can think of are migration, immigration, and emigration.
Step-by-step explanation:
Hope this helps!
Determine if the two figures are congruent and explain your answer.