Answer:
C. no solutionStep-by-step explanation:
Determine the number of solutions for each of the equations below. Be sure to
justify your conclusions. *
(z – 8)2 = -1
A. one solution
B. infinitely many solutions
C.no solution
D. x = 9
Given the expression;
(z – 8)^2 = -1
we are to find the nature of the solution;
Take the square root of both sides
(z – 8)^2 = -1
√(z – 8)^2 = √-1
z- 8 = √-1
Note that √-1 will give a complex number i to have;
z = 8 ± i
This therefore shows that the equation has no real solution.
PLZ HELP ASAP WILL GIVE BRAINLIEST
Can somebody help me pls
the answer can vary between x=−1 or x=2 or x=−3 or x=3
explanation:
x4−x3−11x2+9x+18=0
Step 1: Factor left side of equation.
(x+1)(x−2)(x+3)(x−3)=0
Step 2: Set factors equal to 0.
x+1=0 or x−2=0 or x+3=0 or x−3=0
x=−1 or x=2 or x=−3 or x=3
Combine the like terms to create an equivalent expression.
5 + 3t +4-t
Answer:
2t + 9
Step-by-step explanation:
5 and 4 are like terms. 3t and -t are like terms
= 2t + 9
or 9 + 2t
Answer:
2t + 9
Step-by-step explanation:
5 + 4 = 9
3t - 1t = 2t
Need help on this one please and thank you
Answer:
64x64x64=262,144
Step-by-step explanation: mark as brainest plsssssssssssssss
Bo big cookies for two hours and 30 minutes he finished baking at 8:30 PM when did bo start baking
Answer:
6:00 pm
Step-by-step explanation:
Nolan is a songwriter who collects royalties on his songs whenever they are played in
a commercial or a movie. Nolan will earn $50 every time one of his songs is played in
a commercial and he will earn $100 every time one of his songs is played in a movie.
How much would Nolan earn if his songs were played in 10 commercials and 5
movies? How much would Nolan earn if his songs were played in x commercials and
y movies?
Answer:
500$+500$=1000$
Step-by-step explanation:
for songs=50×10=500$
for movie=5×100=500$
total=500$+500$=1000$
50x+100y
hope it helps:)
What is the solution of the following system y=-2x=8 16+4x=2y
Find the value of 8C0
Answer:
[tex]^8C_0=1[/tex]
Step-by-step explanation:
In this problem, we need to find the value of [tex]^8C_0[/tex].
The formula for the combination is given by :
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
We have,
n = 8 and r = 0
[tex]C(8,0)=\dfrac{8!}{0!(8-0)!}\\\\=\dfrac{8!}{8!}\ (\because\ 0!=1)\\\\=1[/tex]
So, the value of [tex]^8C_0[/tex] is 1.
can someone please answer as soon as possible
Answer:
A) {-1,2,8}
Step-by-step explanation:
fill in all domain values in f(x) and you get:
f(-1) = -1
f(0) = 2
f(2) = 8
The set of results is the range.
Select all expressions that are equivalent to 8.8.8.8.8
Answer:
the first one
the third one
and the forth one
Step-by-step explanation:
they all add up to the same amount
At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?
Answer: It is a function because at any given time the oven was exactly one temperature.
Step-by-step explanation:
It is given that:
At 5:00 p.m., Antonio turned on the oven.
The oven remained at 400°F for 45 minutes until Antonio turned it off.
It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m.
Please Help: Adelle solved the equation 4x/7-6= -20 as shown. Fill in the correct justification for each step. Will Mark Brainliest. Only answer if you are extremely 100%. Have to pass math. No Plagiarism Please.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equation :
4x / 7 - 6 = - 20
4x / 7 = - 20 + 6 (move - 6 to the right hand side, the - sign attached to 6 changes to positive)
4x / 7 = - 14 ( - 20 + 6 = - 14)
4x = - 98 ( multiply both sides by 7 in other to isolate 4x)
x = - 24.5 (Divide both sides by 4, in other to isolate x and obtain it's value).
Water freezes at 32° Fahrenheit, which is 0° Celsius. Water boils at 212 Fahrenheit, which is 100 Celsius. Which temperature would be the best estimate for water at room temperature in Celsius
Answer:
20
Step-by-step explanation:
I don't really know how to explain this beyond either memorizing this or remembering that Fahrenheit is around 70 degrees and estimating it.
The data set shows the numbers of flowers that students on a field trip correctly identified. What is the mode of the data set? 0 7 3 9 5 0 10 5 8 6
Answer:
The mode is the value that appears most frequently in a data set
Step-by-step explanation:
so it will be 0 and 5
Answer:
0 and 5
explanation:
n old building has been demolished, and there are tons of debris to haul away. Each pickup load can hold a ton of debris. As many full loads as possible are hauled away. How much of a full pickup load is in the last load of debris?
Pick an answer!
1/6
8/27
2/3
7/9
Answer:
The question is incomplete...
Step-by-step explanation:
Using partial quotients, which would be the best choice for the first number to subtract in the division problem 858 +26?
Answer:
780
Step-by-step explanation:
We want to use partial quotients in the division problem 858 ÷ 26.
In partial quotients method, what we do is to repeatedly subtract from the dividend easy multiples of the divisor.
In this case, the dividend is 858 and the divisor is 26.
Thus, the first easy multiple of the divisor we can use will be 30 because 30 × 26 = 780 yields the closest value to 858.
Therefore, the best choice for first number to subtract is 780
Answer: 780
Step-by-step explanation:
The best choice for the division problem will be 780.
Is this a function?
Answer:
yes
Step-by-step explanation:
which list orders the numbers from least to greatest
Answer:
-5, -2, 1, 3
Step-by-step explanation:
mark the points on the number line and go from left to right. The points on the left are always less than the right
Answer:
the person above me is right mark me brainiest for being right
Step-by-step explanation:
The graph of a logarithmic function is shown below...
On a coordinate plane, a curve starts at y = negative 2 in quadrant 4 and curves up into quadrant 1 and approaches y = 2.
What is the domain of the function?
A. x 0
C. x < 1
D. all real numbers
Answer:
ITS B GOOD SIR!! I JUST FINISHED THE TEST
Step-by-step explanation:
huhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
The domain of the function is [tex]x\geq 0[/tex]
To understand more, check below explanation.
Domain of function:The input values for which any function is defined, that input values aree known as the domain of function.
For any graph of a function, the x- axis values are the domain of the function.
From the given graph it is observed that, the input values for the function is [tex]x\geq 0[/tex].
Hence, the domain of the function is [tex]x\geq 0[/tex].
Learn more about the domain and range of the function here:
https://brainly.com/question/26098895
Select the correct answer.
Which graph represents this equation?
y- 4=-3(x+5)
Step-by-step explanation:
The given expression is :
y- 4=-3(x+5)
⇒ y-4 = -3x-15
⇒y+3x = -15 + 4
⇒ y+3x= -11
We need to draw the graph for this equation. The attached figure shows the graph for this equation.
i don’t understand this , what’s the answer?
The heights of dogs, in inches, in a city are normally distributed with a population standard deviation of 7 inches and an unknown population mean. If a random sample of 20 dogs is taken and results in a sample mean of 21 inches, find a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.
Answer:
The 95% confidence interval is [tex] 17.932 < \mu < 20 + 22.068[/tex]
Step-by-step explanation:
From the question we are told that
The population standard deviation is [tex]\sigma =7 \ inches[/tex]
The sample size is n = 20
The sample mean is [tex]\= x = 20[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{7 }{\sqrt{20} }[/tex]
=> [tex]E = 2.068[/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex] 20 - 2.068 < \mu < 20 + 2.068[/tex]
=> [tex] 17.932 < \mu < 20 + 22.068[/tex]
The average amount of money spent for lunch per person in the college cafeteria is $6.35 and the standard deviation is $2.31. Suppose that 41 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of X?X ~ N(,)
What is the distribution of x¯? x¯ ~ N(,)
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.1605 and $6.757.
For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.
Answer:
(6.35, 5.34)
(6.35, 0.99)
0.10253
0.3984
Step-by-step explanation:
Given that :
μ = 6.35
σ = 2.31
n = 41
What is the distribution of X?X ~ N(,)
X :
Mean of distribution = μ= 6.35
The variance = σ^2 = 2.31^2 = 5.3361 = 5.34
X ~ N = (6.35, 5.34)
What is the distribution of x¯? x¯ ~ N(,)
The mean = μ = 6.35
The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99
X ~N = (6.35, 0.99)
find the probability that this patron's lunch cost is between $6.1605 and $6.757.
P(6.1605 < x < 6.757)
Obtain the standardized scores:
Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082
P(Z < - 0.082) = 0.46732 (Z probability calculator)
(6.757 - 6.35) / 2.31 = 0.176
P(Z < 0.176) = 0.56985 (Z probability calculator)
P(Z < 0.176) -P(Z < - 0.082)
0.56985 - 0.46732 = 0.10253
For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.
P(6.1605 < x < 6.757) ; n = 17
Obtain the standardized scores:
Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338
P(Z < - 0.338) = 0.36768 (Z probability calculator)
(6.757 - 6.35) / 2.31/sqrt(17) = 0.726
P(Z < 0.726) = 0.76608 (Z probability calculator)
P(Z < 0.726) -P(Z < - 0.338)
0.76608 - 0.36768 = 0.3984
Answer:
he did a good job
Step-by-step explanation:
Helppp pleaseeee xxxxx
Answer:
[tex] h = 3\sqrt{3} [/tex]
[tex] c = 4\sqrt{2} [/tex]
Step-by-step explanation:
✔️Finding h using trigonometric ratio:
Reference angle = 60°
Opposite = h
Adjacent = 3
Thus:
[tex] tan(60) = \frac{h}{3} [/tex]
[tex] \sqrt{3} = \frac{h}{3} [/tex] (tan 60 = √3)
Multiply both sides by 3
[tex] 3\sqrt{3} = h [/tex]
[tex] h = 3\sqrt{3} [/tex]
✔️Finding c using trigonometric ratio:
Reference angle = 45°
Hypotenuse = 8
Adjacent = c
Thus:
[tex] cos(45) = \frac{c}{8} [/tex]
[tex] \frac{\sqrt{2}}{2} = \frac{c}{8} [/tex] (cos 45 = √2/2)
Multiply both sides by 8
[tex] \frac{\sqrt{2}}{2} \times 8 = c [/tex]
[tex] \sqrt{2} \times 4 = c [/tex]
[tex] c = 4\sqrt{2} [/tex]
Helppp pleaseee I don’t understand
Answer:
I think it is all false. 45 minutes is 19 and 55 is 23
A national consumer agency selected independent random samples of 45 owners of newer cars (less than five years old) and 40 owners of older cars (more than five years old) to estimate the difference in mean dollar cost of yearly routine maintenance, such as oil changes, tire rotations, filters, and wiper blades. The agency found the mean dollar cost per year for newer cars was $195 with a standard deviation of $46. For older cars, the mean was $286 with a standard deviation of $58. Which of the following represents the 95 percent confidence interval to estimate the difference (newer minus older) in the mean dollar cost of routine maintenance between newer and older cars?
A. (195 - 286) + 1.992 underroot46/45 + 58/40
B. (286 - 195) + 1.992 underroot46^2/45+ 58^2/40
C. (195 - 286)+ 1.992 underrot 140² 158²/45+40
D. (286 - 195) + 1.992 46 1582 45 +40
E. (195-286) +1.992 462 + 58 45 40
Answer:
(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))
Step-by-step explanation:
Given that:
NEWER CARS:
Sample size = n1 = 45
Standard deviation s1 = 46
Mean = m1 = 195
OLDER CARS:
Sample size = n2 = 40
Standard DEVIATION s2 = 58
Mean = m2 = 286
Confidence interval at 95% ; α = 1 - 0.95 = 0.05 ; 0.05 / 2 = 0.025
Confidence interval is calculated thus : (newer--older)
(m1 - m2) ± Tcritical * standard error
Mean difference = m1 - m2; (195 - 286)
Tcritical = Tn1+n2-2, α/2 = T(45+40)-2 = T83, 0.025 = 1.99 (T value calculator)
Standard error (E) = sqrt((s1²/n1) + (s2²/n2))
E = sqrt((46^2/45) + (58^2/40))
Hence, confidence interval:
(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))
The 95% confidence interval for estimating the difference in the mean dollar cost of the routine maintenance between newer and older cars is given by:
[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]
Given that:The first sample consists of owners of newer cars
First sample's size = [tex]n_1 =45[/tex]First sample's mean = [tex]\overline{x_1}=\$195[/tex]First sample's standard deviation = [tex]s_1 = \$46[/tex]The second sample consists of owner of older cars.
Second sample's size = [tex]n_2 = 40[/tex]Second sample's mean = [tex]\overline{x_2}=\$286[/tex]Second sample's standard deviation = [tex]s_2 = \$58[/tex]To find:95% confidence interval for difference between both samples' means.
Calculations and Explanations:Since the sample sizes are > 30, thus we can use the z table for finding the Confidence interval.
The CI is given as:
[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]
For 0.95 probability confidence, we have t at 40+45-3= t at 83 at 0.05/2 is 1.992 (from T tables)
Thus,
[tex]CI=(195-268) \pm 1.992 \sqrt{\dfrac{46^2}{45} + \dfrac{58^2}{40}}[/tex]
Learn more about confidence interval here:
https://brainly.com/question/4249560
Please help me answer this :)!
I will give braisnlt
Answer: I don't see anything
Step-by-step explanation:
Simplify (6x−3)−(9x+2)
15x−5
15x−1
−3x−1
−3x − 5
Answer:
- 3x - 5
Step-by-step explanation:
(6x-1) -9x-2
=-3x-5
What is the equation in slope-intercept form of the line that passes through the point (6, 1) and is parallel to the line represented by
y = -3x + 2?
Enter your answer by filling in the boxes.
Help please!!!
Triangle ABC is similar to triangle PQR, as shown below
Answer:
b:q
Step-by-step explanation:
im pretty sure its that. ive learned this before.
if you flipped them so that c and r were facing the same direction, then b and q would be too.