Answer:
[tex]x = 5[/tex]; [tex]y = 3[/tex]
Step-by-step explanation:
Given
[tex]y = 6x - 27[/tex]
[tex]y = 2x - 7[/tex]
Required
Determine the point of intersection
We simply equate both equations; i.e.
[tex]y = y[/tex]
or
[tex]6x - 27 = 2x - 7[/tex]
Collect Like Terms
[tex]6x - 2x = 27 - 7[/tex]
[tex]4x = 20[/tex]
Solve for x
[tex]x = 20/4[/tex]
[tex]x = 5[/tex]
Substitute 5 for x in [tex]y = 2x - 7[/tex]
[tex]y = 2 * 5 - 7[/tex]
[tex]y = 10- 7[/tex]
[tex]y = 3[/tex]
Hence, the point of intersection is:
[tex]x = 5[/tex]; [tex]y = 3[/tex]
Absolute value of -4 1/2
Answer: 4 1/2
Step-by-step explanation:
The absolute value of a given number is [tex]4\frac{1}{2}[/tex].
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.
The given number is [tex]-4\frac{1}{2}[/tex].
So, absolute value of a number is
|[tex]-4\frac{1}{2}[/tex]|= [tex]4\frac{1}{2}[/tex]
Hence, the absolute value of a given number is [tex]4\frac{1}{2}[/tex].
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Find log1/4 rounded to the nearest hundredth.
Answer:
-log_4
Step-by-step explanation:
The value of log1/4 rounded to the nearest hundredth is -0.60
Given the parameter which is needed for our Calculation:
log1/4Using a calculator, the value of log1/4 is -0.602059
Rounding to the nearest hundredth, is two digits after the decimal point.
Hence, we have ;
-0.60 (since the value after 0 is less than 5)Therefore, log1/4 is -0.60
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Write an
equation in slope-intercept form of the line that passes through the
points (-5, -11) and (6,11).
Answer:
Slope=2.
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where
X1,y1,=(-5, -11) X2,y2=(6,11).
Slope=-11-11/-5-6
=-22/-11
=22/11
=2
Slope is 2
Answer:
2
Step-by-step explanation:
Here,
x₁ = (- 5) and x₂ = 6
y₁ = (- 11) and y₂ = 11
Now,
Slope
= y₁ - y₂ ÷ x₁ - x₂
= (- 11) - ( 11) ÷ (- 5) - ( 6 )
= - 11 - 11 ÷ - 5 - 6
= - 22 ÷ - 11
= 2 ÷ 1 = 2
Thus, Slope is 2
-TheUnknownScientist
Find n and r 10 pointsssss
Answer:
r = 11.623cm (aprox)
n = 6.153cm (aprox)
Step-by-step explanation:
Proportions:
9.8 ⇔ 4.3
n ⇔ 2.7
r ⇔ 5.1
n = 9.8*2.7/4.3 = 6.153 (aprox)
r = 9.8*5.1/4.3
r = 11.623 (aprox)
please help me PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!!
Answer: 9.625 cups..
help please! will mark brainliest!
Answer:
Hello! I'll help, but where is the question?
Step-by-step explanation:
Answer:
what do you need help with?????
48:23 +4.10 3/4
Help pls....
Answer:
48:26.075
Step-by-step explanation:
Robinson’s hotel room rent is $80. His food bill is $30 and the taxi costs him $20. His company deposits his salary of $100 into his bank account. What would be the balance remaining after paying his monthly expenses? Plz help 49 points
Answer:
well his balance would be 0
Step-by-step explanation:
$80+$30+$20=130$
100$-130$=-30$
but in a bank account you cant spend more than you have like you can a credit card
Find the exact value of each expression, if it is defined. Express your answer in radians. (If an answer is undefined, enter UNDEFINED.)
(a) sin−1(-squareroot of 2/2)
(b) cos−1(-squareroot of 2/2)
Answer:
a) -0.7854
b) 2.36
Step-by-step explanation:
Here, we want to find the value of the angles in radians
We proceed as follows;
a) arcsin( - √2/2)
= -0.7854
b) arccos(-√(2)/2
= 2.36
Find the difference between 3 1/12 and 2 1/6. Leave your answer as a proper fraction or mixed number.
Answer:
[tex]\frac{8}{6}=1\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{2}-2\frac{1}{6}[/tex] Fractions cannot be added or subtracted unless they have the same denominator (bottom number)
[tex]\frac{7}{2}-\frac{13}{6}[/tex] Change to an improper fraction. Multiply the denominator times the whole number (number on the side) then add to the numerator (top number) and place over the the denominator (3*2+1=7→[tex]\frac{7}{2}[/tex])
[tex](\frac{7}{2}*\frac{3}{3})[/tex] - [tex]\frac{13}{6}[/tex] In order to give both fractions the same denominator, find the least common denominator (LCD = one number that both denominators will divide evenly into) LCD = 6. Then multiply the top and bottom by a number that gives the LCD. We only need to multiply the first fraction top and bottom by 3.
[tex]\frac{21}{6} - \frac{13}{6} = \frac{8}{6}[/tex] This is an improper fraction because the numerator is larger than the denominator. To make a mixed number divide the numerator by the denominator and simplify.
[tex]\frac{8}{6} = 1\frac{2}{6} = 1\frac{1}{3}[/tex] [tex](\frac{2}{6} \frac{divided by}{divided by}\frac{2}{2} = \frac{1}{3})[/tex]
Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.
7/5, 5/3,13/6,8/3
This question was not written properly
Complete Question
Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.
7/6, 5/3, 13/6, 8/3
Answer:
a) Common difference = 1/2
b) Fifth term = 19/6
c) nth term = 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term = 152/3
Step-by-step explanation:
We solve using the formula for arithmetic sequence
an = a1 + (n - 1)d
a1 = First term
n= nth term
d = common difference
a) Common difference = Second term - first term or Third term - second term
= d = 5/3 - 7/6
d = LCD (Lowest Common Denominator = 15
d = 5 × 6 - 3 × 7/18
d = 30 - 21/15
d = 9/18
d = 1/2
b) Fifth term =
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 5
d = 1/2
a5 = 7/6 + (5 - 1)1/2
a5 = 7/6 + (4)1/2
a5 = 7/6 + 4/2
a5 = 7/6 + 2
a5 = LCD = 6
= 7× 1 + 2 × 6/6
= 7 + 12/6
= 19/6
c) nth term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = n
d = 1/2
= 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 100
d = 1/2
a5 = 7/6 + (100- 1)1/2
a5 = 7/6 + (99)1/2
a5 = 7/6 + 99/2
a5 = 7/6 + 99/2
a5 = LCD = 6
= 7× 1 + 3 × 99/6
= 7 + 297/6
= 304/6
= 152/3
Chloe wants to divide 600 jellybeans into equal groups. She wants each group to have more than 10 jellybeans, but less than 100. What are three possible groupings Chloe can make?
Answer: One group made up of 12 can each have 50.=600
the second group of 30 can each have 20=600
third group made of 15 can each have 40=600
Step-by-step explanation:
Answer:
not sure if this is correct, but...
you could do 12 groups of 50
or 14 groups of 60
orrr 20 groups of 30
The area of a circle is 36
[tex]\pi[/tex]
cm?.
What is the radius of this circle?
A marketing consultant is hired by a major restaurant chain wishing to investigate the preferences and spending patterns of lunch customers. The CEO of the chain hypothesized that the average customer spends at least $13.50 on lunch. A survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be x¯= $14.50. Based on previous surveys, the restaurant informs the marketing manager that the standard deviation is ???? = $3.50. To address the CEO’s conjecture, the marketing manager decides to carry out a test of hypothesis. The null hypothesis is given by H0 : ???? = 13.50. The hypothesis test is set up to provide the marketing manager with:
a. proof that the null hypothesis is true.
b. evidence against the null hypothesis in favor of the alternative.
c. evidence against the alternative hypothesis in favor of the null hypothesis.
d. evidence in favor of the null hypothesis.
Answer:
t = 1.399<1.710 ( from tabulated value)
we will accepted the null hypothesis
the marketing manager decides to carry out a test of hypothesis
H 0 : μ = 13.50
Step-by-step explanation:
Step1 :-
Given sample size 'n' = 25 customers
The CEO of the chain hypothesized that the average customer spends at least $13.50 on lunch.
therefore the population mean 'μ' = $13.50
A survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be ¯ x = $ 14.50
sample mean ¯ x = $ 14.50
the restaurant informs the marketing manager that the standard deviation is σ = $ 3.50
Population standard deviation σ = $ 3.50
Step 2:-
we will use' t' test because of given small sample size is n=25
Null hypothesis: H₀ : μ= $ 13.50
Alternative hypothesis :H₁:μ ≠ $ 13.50
Degrees of freedom γ = n-1 = 25-1 =24
The test statistic 't' is
substitute all values , we get
t = 1.399
This is calculated value t = 1.399
The tabulated value of t are 5% level with 24 degrees of freedom
t = 1.710
Step 3:-
t = 1.399<1.710
Since calculated value < The tabulated value of t are 5% level with 24 degrees of freedom.
we will accepted the null hypothesis
the marketing manager decides to carry out a test of hypothesis
3. If 4x = 28, find the value of 29 - 5x *
1
-6
O Ο Ο
6
- 1
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1300 hours and a mean life span of 15,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,340 hours.
Answer:
0.03593
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 17,340
μ is the population mean = 15,000
σ is the population standard deviation = 1300
z score:
z = 17340 - 15000/1300
z =1.8
Probability value from Z-Table:
P(x<17340) = 0.96407
P(x >17340) = 1 - P(x<17340)
= 1 - 0.96407
= 0.03593
The probability that the life span of the monitor will be more than 17,340 hours is 0.03593
what property is shown below
if q=r and r=s, then q=s
Answer:
Transitivity
Step-by-step explanation:
if q=r and r=s, then q=s
It is by the property of TRANSITIVITY.
in 2011 there were 3223 sea otters in Monterey Bay California the bay is approximately 77 mi.² to the nearest whole number what was the density of the sea otter population
Answer:
42 sea otters per mi2
Step-by-step explanation:
Which one is not a statistic ?
單選題 (10 分)
A.Sample mean
B.Sample standard error
C.Sample variance.
D.Population mean
According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this increased by approximately 0.6% per year. If this trend continues, in which year will 31% of babies be born out of wedlock?
Answer:
The year is [tex]b = 1995[/tex]
Step-by-step explanation:
From the question we are told that
The percentage of the number of babies born out of wedlock in 1990 is k = 28%
The percentage by which the number increase per year is i = 0.6%
The percentage of of the number of babies born out of wedlock considered is a = 31%
Generally the difference in between the percentage in 1990 and the percentage considered is
[tex]d = a - k[/tex]
=> [tex]d = 31 - 28[/tex]
=> [tex]d = 3\%[/tex]
Generally the number of year require for the percentage to be equal to 31% is mathematically represented as
[tex]n = \frac{3\%}{0.6\%}[/tex]
=> [tex]n = 5\ years[/tex]
Generally the year which the considered percentage will be attained is
[tex]b = 1990 + n[/tex]
=> [tex]b = 1990 + 5[/tex]
=> [tex]b = 1995[/tex]
What is the quotient in simplest form?
Three-fourths divided by StartFraction 5 Over 16 EndFraction
StartFraction 15 Over 64 EndFraction
StartFraction 15 Over 16 EndFraction
2 and two-fifths
2 and StartFraction 8 Over 20 EndFraction
Answer:
2 and 2/5
Step-by-step explanation:
Trust me on this, also can I have brainlest please? Hope you do well!
2 and two fifths i took the test 6 years ago
Find the exact volume of a waffle ice cream cone with 15-in. Diameter and a height of 23 inches
Rodney needs $90 to buy a fish tank. He has saved $35 and plans to work as a babysitter to earn $5 per hour. Which inequality shows the minimum number of hours, n, that Rodney should work as a babysitter to earn enough to buy the fish tank? (1 point)
35 + 5n ≥ 90, so n ≥ 11
35 + 5n ≤ 90, so n ≤ 11
5n ≥ 90 + 35, so n ≥ 25
5n ≤ 90 + 35, so n ≤ 25
Answer:
A : 35 + 5n ≥ 90, so n ≥ 11
Step-by-step explanation:
Just took the assesment!
explain BRAINLIEST PLZ HELP!!!!100. Given B(-4,-6), under which reflections is B'(4,6)?
a. reflected in the x-axis
b. reflected in the origin
c. reflected in the y-axis
d. reflected in the line y=x
Under b. reflected in the origin B(-4, -6) would be B'(4, 6).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Point B(-4, - 6) is given lies on the third quadrant.
Now, If we reflect along y = x it would be (- 6, - 4).
But if we reflect point B(-4, - 6) along the origin it would be B'(4, 6).
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The teacher recommends that students read for 20 minutes each
night. How many pages will the student complete?
type your answer...
pages
1 point
In a really exciting part of the book, the student read 18 pages in
one sitting. For how many minutes did she read?
Answer:
the student read for 36 minutes
Step-by-step explanation:
so for each night minutes read is going to represent the minutes read and y is going to represent the pages read. This means that 18 should be substituted in for y.
18=1/2x
so to solve you are going to divide both sides by 1/2
36=x
Which model represents the factors of 4x2 - 9?
Answer:
Step-by-step explanation:
What are the choices?
4x^2-9
Both terms are perfect squares.
(2x-3)(x+3)
Answer:
B=#2
Step-by-step explanation:
Estimate the sum by rounding 5,987+1,450 to the nearest thousand
Answer:
7000
Step-by-step explanation:
plz mark brainliest
Answer:
7,000
Step-by-step explanation:
First, round the numbers:
5,987 → 6,0001,450 → 1,000Next, add:
6,000 + 1,000 = 7,000I hope this helps!
find the missing side length.
Answer:
5 ft
Step-by-step explanation:
The answer is 5 ft because the long side is 8 ft and one portion of that side is 8 ft, and 13-8=5.
PLZZ help thxxxxxx..........
Answer:
A
Step-by-step explanation:
Which substance has a freezing point furthest from that of water, 0°C?
Iodine 113.5
Carbon Dioxide −78.7
Mercury −39
Glycerine 17.7
Nitrogen −210
Answer:
The freezing point of water at a pressure of one atmosphere is 0°C (32°F); that of liquid nitrogen is -209.89°C (-345.8°F).