The function f has a an exponent which is the variable ( the letter x) therefore it is an exponential function.
The base is the number being raised by the exponent ( -1/4)
Solve the system of equations.
3x + 4y + 3z = 5
2x + 2y + 3z = 5
5x+ 6y+7z = 7
a. (x = 13, y=-6, z = -2)
b. (x = 15, y = -8, z = -4)
c. (x = 16, y = -9, z = -1)
d. (x = 14, y = -7, z = 3)
Answer:
x = 14
y = -7
z = -3
but this is none of the provided answer options !
Step-by-step explanation:
it's really easy by principle. it's just some work to do.
we try to find equations to express one variable in terms of the others.
but one thing there is : your teacher made a mistake.
the right solution is x = 14, y = -7, z = -3
your teacher made a typo at d.
but the right answer should be d.
just to give you an idea how this can be done (and also to prove that there is a mistake by the teacher):
we can directly try to transform one expression into one that describes x by y and z.
and then another to describe e.g. z by y. and then solve the third one just for y. and then we get the other 2 by these other expressions.
or we can e.g. add or subtract one equation to/from another. this is one of these cases, because we can find really simple expressions that way :
we do
5x + 6y + 7z = 7
- (3x + 4y + 3z = 5)
- (2x + 2y + 3z = 5)
---------------------------
0x + 0y + z = -3
=> z = -3
3x + 4y - 3×3 = 5
3x = -4y + 14
x = (-4y + 14)/3
2×(-4y + 14)/3 + 2y - 9 = 5
(-8y + 28)/3 + 2y = 14
-8y + 28 + 6y = 42
-2y = 14
y = -7
x = (-4×-7 + 14)/3 = (28+14)/3 = 42/3 = 14
Assume x and y are two odd numbers and x/y is an integer.
Which of the following statements are true?
I. x + y is odd
2. xy is odd.
3. x/y is odd
4. x-y is odd
Answer:
Let us check these out one at a time:
1. x + y is odd. FALSE. The sum of 2 odd numbers is even.
2. xy is odd. TRUE. The product of 2 odd numbers is odd.
3. x/y is odd. TRUE. The ratio of 2 odd numbers is odd, if the ratio is an integer.
4. x - y is odd. FALSE. The difference of 2 odd numbers is even.
Only statements 2 and 3 are TRUE, so that makes (C) the correct answer.
The cost of producing x units of a particular commodity is 2 C(x) = x' +6x +45 shillings, and the production level t hours into a particular production run is x(1)=0.312 +0.04 units. At what rate is cost changing with respect to time after 5 hours?
Complete question is;
The cost of producing x units of a particular commodity is C(x) = ⅔x² + 6x + 45 shillings and the production level t hours into a particular production run is x(t) = 0.3t² + 0.04t. At what rate is cost changing with respect to time after 5 hours?
Answer:
dC/dt = 49.45
Step-by-step explanation:
Since C(x) = ⅔x² + 6x + 45
And x(t) = 0.3t² + 0.04t
This means that;
C(x) = C(x(t))
The rate at what cost is changing with respect to time is given as;
dC/dt
Thus, from chain rule;
dC/dt = (dC/dx) × (dx/dt)
dC/dx = (4/3)x + 6
dx/dt = 0.6t + 0.04
Now, when t = 5, then;
x(5) = 0.3(5)² + 0.04(5)
x = 7.7
Thus;
dC/dx = (4/3)x + 6 = (4/3)(7.7) + 6 = 16.267
At 5 hours,
dx/dt = 0.6(5) + 0.04 = 3.04
Thus;
dC/dt = 16.267 × 3.04
dC/dt = 49.45
what is the scale of factor?
The length of CV is 5 units
The length of C’V’ is 7.5 units
The scale factor is 7.5 / 5 = 1.5
Answer: 1.5
PLEASE HELP!!
Indicate the method you would use to prove the two ▵‘s ≅. If no method applies, enter “none”
A. SSS
B. SAS
C. ASA
D. AAS
E. None
(I attached the triangle thing that goes with the question)
Sandra ride her bike 5 times as many miles as Barbara. If b, the distance Barbara rode equals 3.4 miles what is the correct expression and the distance Sandra rode
Answer:
b + 5; when b = 3.4 the distance Sandra rode is 17 miles.
Step-by-step explanation:
A line passes through the point (-3, -3) and has a slope of 1/2 What is the equation of the line?
Answer:
y= 1/2x-3/2
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 1/2x+b
Using the point for x and y we can find b
-3 = 1/2(-3)+b
-3 = -3/2 +b
-6/2 = -3/2+b
Add 3/2 to each side
-6/2 +3/2 = b
-3/2 = b
y= 1/2x-3/2
Answer:
Step-by-step explanation:
y + 3 = 1/2(x + 3)
y + 3 = 1/2x + 3/2
y + 6/2 = 1/2x + 3/2
y = 1/2x - 3/2
If the slope of a wheelchair ramp is 1/11 then what is the angle of inclination to the nearest tenth of a degree?
Answer
4.8 degrees to the nearest tenth.
Step-by-step explanation:
The slope = rise / run = opposite side / adjacent side.
So the angle of inclination is the angle whose tangent is 1/12.
To the nearest tenth of a degree it is 4.8 degrees.
What are the coordinates of point S"?
Answer:
point s: (-2,6)
-2 is the x coordinate
6 is the y coordinate
7. Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. a. Develop a p-Chart for 95 percent confidence (1.96 standard deviation). b. Based on the plotted data points, what comments can you make
Answer: Hello the table related to your question is attached below
answer:
a) attached below
b) The process is out of control because two ( 2 ) values from the defect rate table are out of the control limits at 95% as seen in the p-chart in question ( A )
Step-by-step explanation:
a) p-chart for 95% confidence
std = 1.96
Total defects = ∑ number of defective items in the sample = 10
number of samples = 10
sample size ( n ) = 15
The P value for the process is calculated as :
Total defects / ( number of sample * sample size )
= 10 / ( 15 * 10 ) = 10 / 150 = 0.067
standard deviation ( σ ) = [tex]\sqrt{\frac{p(1-p)}{n } } = \sqrt{\frac{0.067(1-0.067)}{15} }[/tex] = 0.065
next we determine the limits ( i.e. upper and lower )
UCL = p + zSp = 0.067 + 1.96(0.065 ) = 0.194
LCL = p - zSp = 0.067 - 1.96(0.065) = -0.060 ≈ 0 ( because LCL ≠ negative)
attached below is the required p-chart
b) The process is out of control because two ( 2 ) values from the defect rate table are out of the control limits at 95% as seen in the p-chart in question ( A )
Natalie's team needs to make a decision on how to handle a big product recall. People on the team have a lot of strong opinions. Management wants everyone to come to a consensus and to find a solution that everyone can support. What's the best way to get to a consensus? a) Everyone on the team talks until the entire team agrees on one decision. O b) Everyone on the team discusses options and then votes. O c) The team passes the decision-making responsibility to an outside person. O di The team leader makes a decision without input from the other members.
PLEASE HELP ASAP!!! (answer in decimal)
Answer:
re send it
Step-by-step explanation:
ty
HELP PLEASEEEE!!!! ASAP
Answer:
6.22 sec
Step-by-step explanation:
h(t) = 105t-16t^2
For values of t for which height will be 34 feet can be obtained by substituting 34 in place of h(t) and solving for t
34=105t-16t^2, using quadratic formula we have t=1/32*(105±sqrt(8849)) which translates to - 0.34sec and 6.22sec but as time can't be negative, time is 6.22sec
(1+y²)dx + (1+x²)dy = 0
This differential equation is separable:
(1 + y²) dx + (1 + x²) dy = 0
(1 + y²) dx = - (1 + x²) dy
dy/(1 + y²) = -dx/(1 + x²)
Integrating both sides gives
arctan(y) = -arctan(x) + C
and solving for y gives (over an appropriate domain)
y = tan(C - arctan(x))
(the domain being -1 ≤ y ≤ 1).
A sample of 38 babies in the zinc group had a mean birth weight of 3328 grams. A sample of 31 babies in the placebo group had a mean birth weight of 3406 grams. Assume that the population standard deviation for the zinc group is 640 grams, while the population standard deviation for the placebo group is 851851 grams. Determine the 99% confidence interval for the true difference between the mean birth weights for "zinc" babies versus "placebo" babies.
Required:
Find the point estimate for the true difference between the population means.
Answer:
-78
Step-by-step explanation:
Zinc group :
Mean, x1 = 3328
σ1 = 640
Sample size, n1 = 28
Placebo group :
Mean, x2 = 3406
σ2 = 851
Sample size, n2 = 31
The point estimate for the true difference between the population means is obtained as :
Mean difference between population :
x1 - x2 = 3328 - 3406 = - 78
What is the length of BC in the right triangle below?
B
00
A
15
с
A. 17
B. 60
C. 17
D. 289
Using Pythagorean Theorem
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto H^2=8^2+15^2[/tex]
[tex]\\ \sf\longmapsto H^2=64+225[/tex]
[tex]\\ \sf\longmapsto H^2=289[/tex]
[tex]\\ \sf\longmapsto H=\sqrt{289}[/tex]
[tex]\\ \sf\longmapsto H=17[/tex]
BC=17PLZ HELPPPPPPPPPPPPPPPPPPP
Assume a random variable representing the amount of time it takes for a customer service representative to pick up has a uniform distribution between 15 and 20 minutes. What is the probability that a randomly selected application from this distribution took less than 18 minutes
Answer:
0.6 = 60% probability that a randomly selected application from this distribution took less than 18 minutes.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Uniform distribution between 15 and 20 minutes.
This means that [tex]a = 15, b = 20[/tex]
What is the probability that a randomly selected application from this distribution took less than 18 minutes?
[tex]P(X < 18) = \frac{18 - 15}{20 - 15} = 0.6[/tex]
0.6 = 60% probability that a randomly selected application from this distribution took less than 18 minutes.
Fill in the blank with a number to make the expression a perfect square.
u^2- 18u +
Answer:
u^2- 18u +81 = (u-9)^2
Step-by-step explanation:
u^2- 18u +
Take the u coefficient
-18
Divide by 2
-18/2 = -9
Square it
(-9)^2 = 81
u^2- 18u +81 = (u-9)^2
Answer:
The blank should contain 81
Step-by-step explanation:
E = u^2 - 18u + (-18/2)^2
E = (u^2 - 18u + 9^2)
E = (u - 9)^2
To be perfectly correct what you have there is a perfect square, but you need to subtract out (9/2)^2 to make it a valid statement.
E = (u - 9)^2 - 81
divide 111001 by 1101
Based on the fact that you asked this three times and got the same answer three times, I suspect the interpretation made by the users that posted those answers was incorrect, and that you meant to ask about dividing in base 2.
We have
111001₂ = 1×2⁵ + 1×2⁴ + 1×2³ + 1×2⁰ = 57
1101₂ = 1×2³ + 1×2² + 1×2⁰ = 13
and 57/13 = (4×13 + 5)/13 = 4 + 5/13.
4 = 2² is already a power of 2, so we have
111001₂/1101₂ = 1×2² + 5/13
we just need to convert 5/13. To do this, we look for consecutive negative powers of 2 that 5/13 falls between, then expand 5/13 as the sum of the smaller power of 2 and some remainder term. For instance,
• 1/4 < 5/13 < 1/2, and
5/13 - 1/4 = (20 - 13)/52= 7/52
so that
5/13 = 1/4 + 7/52
or
5/13 = 1×2 ⁻² + 7/52
Then a partial conversion into base 2 gives us
111001₂/1101₂ = 1×2² + 1×2 ⁻² + 7/52
111001₂/1101₂ = 100.01₂ + 7/52
Continuing in this fashion, we find
• 1/8 < 7/52 < 1/4, and
7/52 = 1/8 + 1/104
==> 111001₂/1101₂ = 100.011₂ + 1/104
• 1/128 < 1/104 < 1/64, and
1/104 = 1/128 + 3/1664
==> 111001₂/1101₂ = 100.0110001₂ + 3/1664
• 1/1024 < 3/1664 < 1/512, and
3/1664 = 1/1024 + 11/13312
==> 111001₂/1101₂ = 100.0110001001₂ + 11/13312
• 1/2048 < 11/13312 < 1/1024, and
11/13312 = 1/2048 + 9/26624
==> 111001₂/1101₂ = 100.01100010011₂ + 9/26624
• 1/4096 < 9/26624 < 1/2048, and
9/26624 = 1/4096 + 5/53248
==> 111001₂/1101₂ = 100.011000100111₂ + 5/53248
and so on.
It turns out that this pattern repeats, so that
[tex]\displaystyle \frac{111001_2}{1101_2} = 100.\overline{011000100111}_2[/tex]
Which number is divisible by 5? 99 45 83 94
Answer:
45
Step-by-step explanation:
because 5•9=45 so yeah that's the answer
50 students in a class were asked at the beginning of the week what they did at the weekend. 18 read their books, while 28 watched films, and 7 neither read their books nor watched films. How many students both read their books and watched films?
Answer:
so 3 people both read their books and watched films.
Step-by-step explanation:
n(U) = 50
n(A) = 18 ( read books)
n(B) = 28 ( watched films)
n(A U B) with a line at the top = 7
so
Finding n(AUB)
n( A U B) with a line at the top = n(A) + n(B) - n( A n B)
7 = 50-n(A U B)
or, n( A U B) = 50 - 7
so, n(A U B) = 43
Then
n( A U B) = n(A)+n(B)-n(A n B)
43 = 18 + 28 - n( A n B)
or, 43 = 46 - n(A n B)
or, n(A n B) = 46 - 43
so, n(A n B) = 3
The distribution of sample means uses
to measure how much distance
is expected on average between a sample mean and the population mean.
re
o the standard error of M
none of these
the standard deviation of the sample
the standard deviation of the population
< Previous
Next
Answer:
A: the standard error of the mean
Step-by-step explanation:
The most frequently used measure to determine how much difference there is between population mean and sample mean is by calculating the standard deviation of the sampling distribution of the mean. This standard deviation is also referred to as the sew Station.
Solve for Y equals -2 over 3x minus 1
Answer:
y=-\frac{2}{3}\approx -0.666666667
A person of height 2m observes the angle of elevations of the top of a Pole 62m height which is in front of him and finds it to be 45. find the distance between the person end the pole .
Damon can flip 5 pancakes in 20 seconds,
working at a constant rate. Hailey can flip
2 pancakes in 10 seconds, working at her
own constant rate. What is the total number
of pancakes the two of them can flip in 2
minutes?
Answer:
24 + 30 = 54 pancakes flipped in 2 minutes :)
Step-by-step explanation:
damon = 5 pancakes in 20 seconds
we do 20 x 3 and 5 x 3 to find how many pancakes he can flip in a minute
15 pancakes and a minute, we then multiply them by 2 to get the amount for 2 minutes
30 pancakes flipped in 2 minutes
Hailey = 2 pancakes in 10 seconds. to make it an equal amount of pancakes per second with damon, i will multiply them by 2 to have 4 pancakes in 20 seconds
we will then do 4 x 3 and 20 x 3 to find out how many pancakes per minute
then we multiply by 2 for 2 minutes
Answer:
54
Step-by-step explanation:
2 minutes=120 seconds
Damon=120 divide 20=6
6x5=30
Hailey=120 divide 10=12
12x2=24
24+30=54
Hope this helps! Thanks.
how many feet is 2 1/2 miles
Answer:
13200 ft
Step-by-step explanation:
1 mi = 5280 ft
5280 ft x 2.5 = 13200 ft
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Hallar el noveno término de la progresión aritmética 8, 13, 18,…
Answer:18
Step-by-step explanation:
Exhibit 10-7 In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two independent random samples were selected and the following statistics were calculated. Downtown Store North Mall Store Sample size 25 20 Sample mean $9 $8 Sample standard deviation $2 $1 Refer to Exhibit 10-7. A 95% interval estimate for the difference between the two population means is _____. Selected Answer: b. .071 to 1.928
Answer:
[tex]E(x)=1[/tex]
Step-by-step explanation:
From the question we are told that:
Sample mean 1 [tex]\=x_1=$9[/tex]
Sample mean 1 [tex]\=x_2=$8[/tex]
Sample standard deviation 1 [tex]\sigma_1 = $2[/tex]
Sample standard deviation 1 [tex]\sigma_2 = $1[/tex]
Generally the equation for Point estimate is mathematically given by
[tex]E(x)=\=x_1-\=x_2[/tex]
[tex]E(x)=9-8[/tex]
[tex]E(x)=1[/tex]
Destiny just received two separate gifts from her great-great-grandmother.
The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.
Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins.
What is the greatest number of snack bags that Destiny can make?
Answer:
Destiny will be able to create 12 identical snack bags.
Step-by-step explanation:
Given that a snack bag will be 1 chocolate candy bar, and 1 cookie, we have to subtract 1 chocolate for every cookie she has, and that will leave us with 6 chocolate bars left. The equation for this is 18 - 12 = 6.
