Answer:
the answer is A. The system of equations has one solution because the lines will eventually intersect
Step-by-step explanation: because as the line goes on it will intercect once and if it has only one point of intercect its one solution
The system of equations has one solution because the lines will eventually intersect.
Which statement is true?
We know that for a system of equations, the solutions are the points where the graphs of the equations do intercept.
Also, remember that two lines always intercept if they have different slopes (parallel lines have the same slope and different y-intercept).
In this particular case, we know that one line has a negative slope and the other has a positive slope, so the lines are not parallel. This means that the lines will intercept, so the system has one solution.
With that in mind, the correct statement is "The system of equations has one solution because the lines will eventually intersect."
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In a certain population of 1000 fruit flies, 640 have red eyes while the remainder has sepia eyes. The sepia eye trait is recessive to red eyes.
a. Calculate the number of homozygous recessive alleles for sepia eyes
b. Determine the number of homozygous dominant alleles for red eyes
c. Convert your answer for (b) into percent
Answer:
b. Determine the number of homozygous dominant alleles for red eyes
Step-by-step explanation:
Which is the graph of y = cos(x − π)?
Answer:
Graph 1.
Step-by-step explanation:
Th graph of [tex]y=\cos{(x-\pi)}[/tex] looks exactly like the graph of [tex]y=\cos{x}[/tex] if we shifted the axes [tex]\pi[/tex] units to the left. This has the visual effect of shifting the graph forward [tex]\pit[/tex][tex]\pi[/tex] units (imagine filming someone and panning the camera to the left; the person moves right in the camera frame).
So the point at [tex]x=0[/tex], which used to be [tex](0, \cos{0})=(0,1)[/tex] is now [tex](0,\cos{(0-\pi)})=(0,\cos{(-\pi)})=(0,-1)[/tex], which we can find on the first graph.
The graph of the cosine function is the first graph (counting from the left).
Which is the graph of y = cos(x − π)?This is rather easy to see.
We do know that cos(− π) = cos (π) = -1
In this case, where:
f(x) = y = cos(x − π)
We will have:
f(0) = cos( − π) = -1
So we only need to see which graph has a y-intercept equal to -1. By looking at the graphs we can see that the only one that meets this condition is the first graph (counting from the left). So that is the correct option.
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Find the elapsed time between 5:25 pm and 11:11 pm
Answer:
5 hours 46 minutes
Step-by-step explanation:
Which expression has a negative value ?
A. -12 x (-8)
B. -72 divided by (-9)
C. -11 x 6
D. -14 + 24
Answer:
C. -11 x 6
Step-by-step explanation:
When you multiply a negative number with a positive, your answer will always be negative. In this case:
-11 x 6 = -66.
~
Answer:
C. -11 × 6
Step-by-step explanation:
A. -12×(-8) =96
B. -72÷(-9) =8
C. -11×6 =-66
D. -14+24=10
Only option C gives a negative answer.
Which describes an investment in which all of the money to be invested is deposited at one time
Answer: lump sum investment
Step-by-step explanation:
Answer:
It is lump-sum payments.
Step-by-step explanation:
What is lump-sum payment?
A lump-sum payment is an amount paid all at once, as opposed to an amount that is divvied up and paid in installments.
What is investment?
Investment is the dedication of an asset to attain an increase in value over a period of time.
An investment in which all of the money to bee invested is deposited at one time is called lump-sum payment.
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What is the explicit formula for this geometric sequence -6,-18,-54,-162,…
Answer: an= -6(3)^(n-1)
(B)
Step by step explanation: a1 is -6 and a2 is -18, only B would match the sequence. The only other answer that comes close is -6(-3)^(n-1) but if you multiply -6 by -3 you get 18 instead of -18
what is n if 8n-(4n+7) = 13
Answer:
5
Step-by-step explanation:
The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm^3 of water.
Find the percent of the cup that is filled with water after 3 seconds.
Answer:
About 90%
Step-by-step explanation:
If the cup was filled at a constant rate, then the cup fills at 70/2=35 cubic centimeters per second. The formula for the volume of a cone is [tex]\frac{1}{3} \pi r^2 h[/tex], or in this case [tex]\frac{112}{3}\pi[/tex] cubic centimeters. After 3 seconds, the cup would have 35*3=105 cubic centimeters of water inside of it, or about 89.52% which rounds to 90%. Hope this helps!
What is the factor 5k2 - 35k3.
Answer:
the factored form is -5x^2(7x-1)
Answer:
5k^2(1 - 7k)
Step-by-step explanation:
hope this helps(:
5. What is 60% of 45?
Answer:
27
Step-by-step explanation:
Of means multiply
60% * 45
Change to decimal form
.60* 45
27
AB =
Round your answer to the nearest hundredth.
А
?
4
35°
B
С
Answer:
6.97
Step-by-step explanation:
t r u s t me
Rounding to the nearest hundredth, we get [tex]\( AB \approx 6.97 \)[/tex]. So, the correct answer is indeed [tex]\( x \approx 6.97 \).[/tex]
To find the length of side AB, we can use the sine function as follows:
[tex]\[ \sin(B) = \frac{{\text{opposite}}}{{\text{hypotenuse}}} \][/tex]
In this case, [tex]\( \sin(35^\circ) = \frac{4}{AB} \).[/tex]
We rearrange this equation to solve for AB:
[tex]\[ AB = \frac{4}{{\sin(35^\circ)}} \][/tex]
Now, we'll calculate:
[tex]\[ AB = \frac{4}{{\sin(35^\circ)}} \]\[ AB \approx \frac{4}{{0.5736}} \]\[ AB \approx 6.97 \][/tex]
Rounding to the nearest hundredth, we get [tex]\( AB \approx 6.97 \)[/tex]. So, the correct answer is indeed [tex]\( x \approx 6.97 \).[/tex]
What is the volume of the following cylinder?
43.96 in.3
12.56 in.3
21.98 in.3
87.92 in.3
Answer:
d) 87.92
Step-by-step explanation:
V = A(base)* height= πr² * h= 3.14*2²*7=87.92
Simplify 5m - {2n + [3p - (m + 3n - 7p)]}.
//////
Find the sum of the three expressions and choose the correct answer.
2x2y2 - 7xy + 5y2
8xy - 3y2
x2y2 + 4y2
//////
Answer:
1st Problem: 6m + n - 10p
Step-by-step explanation:
5m - {2n + [3p - (m + 3n - 7p)]}
5m - {2n + [ 3p - m - 3n + 7p]}
5m - {2n + 10p - m - 3n}
5m - {-n + 10p - m}
5m + n - 10p + m
6m + n - 10p
** I don't understand what you are trying to say in the 2nd problem **
Jennas employer deducts 0.2 times her wages for payroll taxes.How much is her net income when her gross income is $580?
Answer:
Net income = $464
Step-by-step explanation:
The tax paid = 580 *2/10 = $116
The gross income = $580
Net income = gross income - tax
= $580 - $116 = $464
Simplify the following expression. (73×61y)-(45×6y)
Answer:
4183y
Step-by-step explanation:
Multiply 73 and 61
73 × 61y = 4453
4453 - (45 × 6y)
Then multiply 45 by 6
45 × 6 = 270
4453y - 270y
Subtract
4453y - 270y = 4183y
The volume of a square pyramid is 15 cubic centimeters. If the height of the pyramid is 5 cm, what is the length of the base edge?
Answer:
The length of the base edge is 3 cm
Step-by-step explanation:
Volume of square pyramid =[tex]\frac{1}{3}BH[/tex]
Where B = area of square base
H = Height
Let the length of base edge be x
Area of base = [tex]Side^2 = x^2[/tex]
Height of pyramid = 5 cm
So,Volume of square pyramid =[tex]\frac{1}{3}BH=\frac{1}{3} \times x^2 \times 5[/tex]
We are given that The volume of a square pyramid is 15 cubic centimeters.
So,[tex]\frac{1}{3} \times x^2 \times 5=15[/tex]
[tex]x^2 = \frac{15 \times 3}{5}[/tex]
[tex]x=\sqrt[2]{\frac{15 \times 3}{5}}[/tex]
x=3
Hence the length of the base edge is 3 cm
What are the roots of the function?
0 -8 and 20
O _40 and -8
O-8 and 8
O _40 and 20
Answer:
0
−
8
=
−
8
0-8=-8
20
=
−
8
20=-8
O
⋅
40
=
40
O
O⋅40=40O
−
8
=
40
O
-8=40O
O
−
8
=
40
O
O-8=40O
8
=
40
O
8=40O
O
⋅
40
=
40
O
O⋅40=40O
20
=
40
O
20=40O
What is the next number in pattern from 2,9,28,65
Answer:
126
Step-by-step explanation:
2=1³+1
9=2³+1
28=3³+1
65=4³+1
=>5³+1=126
The rule is: n³+1
what is the outlier of 1,148 ,10 ,43 ,14
Answer:
148
Step-by-step explanation:
an outlier is somthin that stands out
Answer:
148
Step-by-step explanation:
Its farther away from all the other numbers
Angles A M Y and Y M B form a line. Angles Y M B and B M X form a line. Angles X M A and A M Y form a line. Choose each angle to complete the linear pairs. ∠AMY and ∠AMX ∠BMY and ∠BMX and ∠AMX and
Answer:
AMY
BMY
BMX
Step-by-step explanation:
I took the assignment
Answer:
The answers are : B, B, A
Step-by-step explanation:
RIGHT ON EDG!
Find the student’s error in solving the following inequality.
31 < –5x + 6
25 < –5x
–5 < x
A.) The student should have added 6 to both sides instead of subtracting it.
B.) The student divided 25/–5 incorrectly.
C.) The student should have switched the direction of the inequality sign to get –5> x for a final answer.
Answer:
The correct option is:
The student should have switched the direction of the inequality sign to get –5> x for a final answer
Step-by-step explanation:
The students has made a mistake in the 3rd step.
We know that when we multiply or divide any negative number on both sides of the inequality, the sign of inequality reverse its direction.
In step 3 the student divided 25 by -5 but did not switch direction of the inequality sign.
Therefore the correct option is: The student should have switched the direction of the inequality sign to get –5> x for a final answer
Answer:
C
Step-by-step explanation:
Just did it
Find the 73rd term of the arithmetic sequence -28, -41, -54, ...
Answer:
Find the 73rd term of the arithmetic sequence -28, -41, -54, ...... -964
Step-by-step explanation:
U73 = -28 + (73 - 1)-13
U73 = -28 - 949 + 13
U73 = -964
The 73rd term of the arithmetic sequence -28, -41, -54, ... is -964, calculated using the formula of an arithmetic sequence.
Explanation:The 73rd term of the arithmetic sequence -28, -41, -54, ... can be found by using the formula of arithmetic sequence which is a + (n - 1) * d, where 'a' is the first term of the sequence, 'd' is the common difference, and 'n' is the term number. Here, 'a' is -28 and 'd', the difference between the terms, is -13 because -41 - (-28) = -13.
So, plugging in these values to the formula: a + (n - 1) * d = -28 + (73 - 1) * -13 = -28 - 936 = -964. Therefore, the 73rd term of the sequence is -964.
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escribir dos ejemplos numeros decimales y conviertelos a fraccion?
Answer:
0.25
0.5
Step-by-step explanation:
[tex]\frac{1}{4}[/tex]
[tex]\frac{1}{2}[/tex]
.25 = 25/100 = 1/4
.50 = 50 /100 = 1/2
I need help!!
I don’t get it!!
Answer:
170
Step-by-step explanation:
put the fractions in order starting with the smallest to the largest
21/40, 29/40, 17/20, 3/4, 4/5
Answer:
21/40, 17/20, 29/40, 3/4, 4/5
Step-by-step explanation:
21/40 = 10.5/20
29/40 = 14.5/20
17/20 = 13.5/20
3/4 = 15/20
4/5 = 16/20
In triangle ABC, angle A measures 50 degrees, angle B measures 30 degrees. Find the measure of angle C.
A.100 degrees
B.50 degrees
C.110 degrees
Answer:
100 degrees
Step-by-step explanation:
The students in Mr. McIntyre’s class and in Mrs. Ramos’s class were asked how many pets they each have. The dot plots below show the results.
Mr. McIntyre’s Class
A dot plot titled Mister McIntyre's Class. A number line going from 0 to 5 is labeled Number of Pets. There are 5 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.
Mrs. Ramos’s Class
A dot plot titled Misses Ramos's Class. A number line going from 0 to 5 is labeled Number of Pets. There is 1 dot above 0, 2 above 1, 2 above 2, 4 above 3, 3 above 4, 3 above 5.
Which statement correctly compares the measures of center of the data in the dot plots?
The median is greater for Mr. McIntyre’s class.
The median is the same for both classes.
The mode is greater for Mrs. Ramos’s class.
The mode is the same for both classes.
The correct statement is the mode is greater for Mrs. Ramos’s class.
What is the correct statement?Median is the number in the middle of a dataset. Mode is the number that occurs most frequently in the dataset.
Number of pets in Mr. McIntyre’s class = 0,0,0,0,0,1, 1, 1, 1, 1, 4, 4, 4, 4, 1,
Median = 1 Mode = 0 and 1Number of pets in Mrs. Ramos’s Class = 0, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3
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Answer:
The answer is C) the mode is greater for Mrs. Ramos’s class.
Step-by-step explanation:
If you need any help with this question please ask me! :)
Find the monthly payment needed to amortize a typical 100,000 mortgage loan over 30 years at annual interest rate of 4.7%, compounded monthly. Find the total interest paid on the loan after 30 years
Answer:
Monthly amortization paid is $1,135
Amount of interest paid is $308,469
Step-by-step explanation:
Here, we are interested in calculating the monthly payment paid and the total value of this interest.
Firstly, we calculate the amount which this loan would be at the end of the 30 years.
To calculate this amount, we make use of the compound interest amount formula
A = P(1 + r/n)^nt
where A is the amount we want to calculate
P is the amount borrowed which is $100,000
r is the interest rate which is 4.7% or simply 4.7/100 = 0.047
n is the number of times yearly which the interest is compounded which is 12 since it is compounded monthly
t is the total time taken to repay the loan which is 30 years
Plugging these values, we have
A = 100,000( 1 + 0.047/12)^(12 * 30)
A = 100,000( 1+ 0.00392)^360
A = 100,000(1 .00392)^360
A = $408,469
The monthly payment needed to amortize the loan will be the amount after 30 years divided by the number of months in 30 years
The number of months in 30 years is 30 * 12 = 360 months
The monthly payment amount is thus 408,469/360 = 1,134.6 approximately $1,135
The total interest paid will be the amount minus the principal
This is $408,469 - $100,000 = $308,469
SOMEONE PLEASE HELP ME WITH THIS!!! I really need help I try doing it but I just end up getting lost, please help me, I give out brainliest!!!!
((Trigonometry))
THow much will fencing cost to enclose a field that is 725 feet by 1,021 feet if fencing costs $13.57 per foot? $47,386.44 $23,693.22 $10,044.85 $10,044,853.25
Answer:
$47,386.44
Step-by-step explanation:
Given;
Dimension of the field = 725 feet by 1,021 feet
Length = 1021 ft
Breadth = 725 ft
Cost per foot = $13.57 per foot
Perimeter of the field = 2 × (length + breadth)
Perimeter = 2 × ( 1021 + 725) = 3492 ft
The cost of fencing the field is;
Cost per feet × perimeter
= $13.57 × 3492
= $47,386.44