Answer:
3/180= 60 seconds = 1m/per cut or 60 sec/per cut.
Step-by-step explanation:
This is 3 cuts executed from a board to get 5 parts.
Answer:
he cuts 1.6 section of a board in one minute
Step-by-step explanation:
They're telling you that it takes 3 minutes for the carpenter to cut one board into 5 qual section. Therfore how many sections he's cutting in one minute divide the 5 by three. With that you will have the rate
6. Find the sum of 2x and 8x.
Answer:
16x
Step-by-step explanation:
its basically saying (2x)x(8x) which would equal 16x
Answer: 10x
Step-by-step explanation:
Sum of 2x and 8x means the addition of 2x and 8x
Written as 2x + 8x= 10x
A type of bacteria has a very high exponential growth rate of 80% every hour. If there are 10 bacteria, determine how many will be in 5 hours,1 day, and 1 week
Solution:
Given that,
A type of bacteria has a very high exponential growth rate of 80% every hour
There are 10 bacteria
The increasing function is given as:
[tex]y = a(1+r)^t[/tex]
Where,
y is future value
a is initial value
r is growth rate
t is time period
From given,
a = 10
[tex]r = 80 \5 = \frac{80}{100} = 0.8[/tex]
Determine how many will be in 5 hours
Substitute t = 5
[tex]y = 10(1 + 0.8)^5\\\\y = 10(1.8)^5\\\\y = 10 \times 18.89568\\\\y \approx 188.96[/tex]
y = 189
Thus, there are 189 bacteria in 5 hours
Determine how many will be in 1 day ?
1 day = 24 hours
Substitute t = 24
[tex]y = 10(1 + 0.8)^{24}\\\\y = 10(1.8)^{24}\\\\y = 10 \times 1338258.84\\\\y = 13382588.45\\\\y \approx 13382588[/tex]
Thus, there are 13382588 bacteria in 1 day
Determine how many will be in 1 week
1 week = 168
Substitute t = 168
[tex]y = 10(1 + 0.8)^{168}\\\\y = 10(1.8)^{168}[/tex]
Thus there are [tex]10(1.8)^{168}[/tex] bacteria in 1 week
Two positive numbers have a difference of 4 and a product of 96. What are the numbers?
A
B
12 and 8
16 and 6
16 and 12
D.
18 and 14
Reset
Next
Answer:
12 and 8
Step-by-step explanation:
the difference is 4 if you do 12-8=4
the product sum is 96 which is 12*8=96
Answer:
12 and 8
Step-by-step explanation:
Let the numbers be x and y
x - y = 4 ................(1)
xy = 96 ..................(2)
From equation 1
x = 4+y ..............(3)
Put x = 4+ y into equation 2
y(4+y) = 96
y² +4y = 96
y² + 4y - 96 = 0
Solve quadratically using factorisation method
y² + 12y - 8y - 96 =0
y(y+12) - 8 ( y + 12) = 0
(y +12)(y -8) = 0
y = -12 or 8
When y = -12
x = 4+y = 4-12 = -8
When y= 8
x = 4+y = 4+8 =12
Numbers are 12 and 8 or -8 and -12
I hope this was helpful, please mark as brainliest
log base 2(6x+5)=3
Please help! thanks
Answer:
i think the answer is x = -7/12 or in decimal form x = -0.583, the 3 is repeating.
Step-by-step explanation:
HELP URGENT I WILL GIVE 20 POINTS
h = 9.2 cm
Solution:
Base of smaller triangle = 5 cm
Height of smaller triangle = 2.3 cm
Base of larger triangle = 15 cm + 5 cm = 20 cm
Height of larger triangle = h
[tex]$\frac{2.3}{5}=\frac{h}{15+5}[/tex]
[tex]$\frac{2.3}{5}=\frac{h}{20}[/tex]
Multiply by 20 on both sides.
[tex]$20 \times \frac{2.3}{5}=\frac{h}{20} \times 20[/tex]
[tex]$\frac{46}{5}=h[/tex]
9.2 = h
So that Ryan should have add 15 and 5 to get a denominator of 20 on the right sides of the first line. Doing so gives the correct value, h = 9.2 cm.
Can someone please explain how to do this?
Answer:
e = 30
Step-by-step explanation:
Since 114 and the adjacent angle are supplementary, that means they add up to 180.
114 + x - 114 = 180 - 114
x = 66
Now, solve inside the triangle which adds up to 180.
54 + 66 + 2e = 180
120 + 2e - 120 = 180 - 120
2e / 2 = 60 / 2
e = 30
Answer: e = 30
The population of deer in a forest was measured to be 1938 in the year 2010. If the population increased by a steady 4% a year which of the following calculations would predict its population in 2013
Answer:
6046.56
Step-by-step explanation:
1938+4%=2015.52*3=6046.56
15. There were 150 students who were surveyed
and asked whether they played a sport and
whether they played a musical instrument. The
results are shown in the table.
Answer:
its 1/7
Step-by-step explanation:
i took the quiz
Acos²theta + Bsin²theta = C
Show that
tan²theta =C- A/B-C
[tex]Tan^2x= \frac{C -A}{(B-C)}[/tex]
Step-by-step explanation:
Here we have , Acos²theta + Bsin²theta = C or , [tex]Acos^2theta + Bsin^2theta = C[/tex]
Let theta = x , So [tex]Acos^2x + Bsin^2x = C[/tex] . Let's solve it further
⇒ [tex]Acos^2x + Bsin^2x = C[/tex]
⇒ [tex]\frac{Acos^2x}{cos^2x} + \frac{Bsin^2x}{cos^2x} = \frac{C}{cos^2x}[/tex]
⇒ [tex]A + B(\frac{sin^2x}{cos^2x}) = C\frac{1}{cos^2x}[/tex] { [tex]\frac{sin^2x}{cos^2x} = Tan^2x , \frac{1}{cos^2x} = sec^2x[/tex] }
⇒ [tex]A + B(Tan^2x) = C(sec^2x)[/tex] { [tex]sec^2x=1+Tan^2x[/tex] }
⇒ [tex]A + B(Tan^2x) = C( 1+Tan^2x )[/tex]
⇒ [tex]A + B(Tan^2x) = C+C(Tan^2x )[/tex]
⇒ [tex]B(Tan^2x)-C(Tan^2x ) = C -A[/tex]
⇒ [tex](B-C)(Tan^2x)= C -A[/tex]
⇒ [tex]Tan^2x= \frac{C -A}{(B-C)}[/tex]
Therefore , [tex]Tan^2x= \frac{C -A}{(B-C)}[/tex] .
Suppose f(x) is a function such that if p
Answer:
I think in a function of f(x) P is also another variable like P is the price then Q is the quantity.
Step-by-step explanation:
The system of equations y=-3/4x-1 and y=2x-4 is shown on the graph below. What is a reasonable estimate for the solution?
Answer: the reasonable estimate is (1.1, -1.9)
Step-by-step explanation: in solving simultenous equations graphically the answer is choosing by tracing the intercept of the two lines
Answer:
the reasonable estimate is (1.1, -1.9)
Step-by-step explanation:
(a)The area of a rectangular field is 7392 .
If the length of the field is 96 , what is its width?
(b)The perimeter of a rectangular painting is 372 .
If the width of the painting is 88 , what is its length?
Answer:
W = 77
L = 98
Step-by-step explanation:
Question a:
Area of a rectangular field = 7392
Length L = 96
Width w = ?
Area of a rectangle = L x W
7392 = 96 x W
Divide both sides by 96
7392/96 = 96/96 x w
77 = w
W = 77
Question b:
Perimeter of a rectangular painting = 372
Width = 88
Length = ?
Perimeter of a rectangle =
2(L + w)
372 = 2(L + 88)
Distribute 2 into (L + 88)
We have
372 = 2 x L + 2 x 88
372 = 2L + 176
Subtract 176 from both sides
372 - 176 = 2L + 176 - 176
196 = 2L
Divide both sides by 2
196/2 = 2L/2
98 = L
L = 98
What is the next term of the geometric sequence?
375,75,15
Answer:
3
Step-by-step explanation:
375/5 = 75
75/5 = 15
15/5 = 3
.... Basically you are dividing each term by 5 until you reach 3.... the most simplified version of this equation.
The next (i.e the 4th) term of the geometric sequence: 375, 75, 15 is 3
What is a geometric sequence?
This is a sequence which have common ratio between each term. It is represented as
Tₙ = arⁿ¯¹
Where
a is the first term
r is the common ratio
n is the number of term
Tₙ is the nth term
How to determine the next termSequence: 375, 75, 15First term (a) = 375Common ratio (r) = 75 / 375 = 0.2Number of term (n) = 4Fourth term (T₄) =?
Tₙ = arⁿ¯¹
T₄ = 375 × 0.2⁴¯¹
T₄ = 375 × 0.2³
T₄ = 3
Learn more about geometric sequence:
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There are 7 special subjects at Ichiro's school: art, music, gym, library,
enrichment, typing, and research. Students only take 1 special subject
each school day. A special subject is not taken more than once a week.
Assume that special subjects are assigned randomly.
Ichiro has library on Monday. If the remaining subjects during the school week
are assigned randomly from the other 6 subjects, what is the probability that he
has art on Friday?
Final answer:
The probability that Ichiro has Art on Friday, given that he has already had Library on Monday and the subjects are assigned randomly, is 1/6 or approximately 16.67%.
Explanation:
The subject of this question is Probability. Ichiro has Library on Monday, and since he cannot have the same special subject more than once in a week, there are six subjects left to schedule from Tuesday to Friday. The special subjects are considered to be assigned randomly.
To determine the probability that Ichiro has Art on Friday, we need to consider there are four days left in the school week (Tuesday to Friday) after Monday. Since the subjects are assigned randomly, each of the remaining subjects has an equal chance of being assigned to any day. By the time we get to Friday, there will be only one subject left unassigned, which has a 1 out of 6 chance of being Art, as the remaining subjects are randomly assigned to the days preceding.
The probability that Ichiro has Art on Friday is therefore 1/6, or approximately 16.67%
Which figures are polygons ? Select each correct answer.
Figure A Figure B Figure C Figure D
Polygons are closed, two-dimensional shapes with straight, fully connected sides. Figure A, Figure B, Figure C are polygons.
To determine which figures are polygons, we must understand that a polygon is a closed, two-dimensional shape with straight sides that are fully connected at each endpoint.
There should be at least two or more straight sides in a polygon.
Figure A: It is a polygon as it has more than two sides and is closed.
Figure B: It is also a polygon as it has 6 sides and angles and is also closed in shape.
Figure C: It is not a polygon as it does not have straight line more than two, it is closed but it contains curved line.
Figure D: It is polygon as it contains straight lines and is closed.
A square will sides of 3 cm is cul on from a
square board with sides of 9 cm. Find the area of
the remaining pari.
Answer: the answer 27
Step-by-step explanation:
look at the word area you have to multipy the question
Answer:
36cm²
Step-by-step explanation:
remaining part length = 9cm - 3cm
= 6cm
Therefore area of remaining part which is a square = length × length
= 6cm × 6cm
= 36cm²
I hope this was helpful, please mark as brainliest
On the coordinate plane, Kyle graphs a line that represents a proportional relationship between x and y. Which point MUST be on the line?
A) (0, 1)
B) (1, 0)
C) (1, 1)
D) (0, 0)
Answer:
its d (0,0)
Step-by-step explanation:
just figured it out.
A 30° 60° 90° triangle is shown below. Find the length of the side labeled y.
Answer:
Part 1) [tex]y=3\ units[/tex]
Part 2) The length of the hypotenuse is 6 units
Step-by-step explanation:
Part 1) we know that
In the right triangle of the figure
[tex]sin(60^o)=\frac{y}{2\sqrt{3}}[/tex] ----> by SOH (opposite side divided by the hypotenuse)
solve for y
[tex]y=sin(60^o)2\sqrt{3}[/tex]
Remember that
[tex]sin(60^o)=\frac{\sqrt{3}}{2}[/tex]
substitute
[tex]y=(\frac{\sqrt{3}}{2})2\sqrt{3}[/tex]
[tex]y=3\ units[/tex]
Part 2)
Let
h ----> the length of the hypotenuse
we know that
In the right triangle of the figure
[tex]sin(45^o)=\frac{3\sqrt{2}}{h}[/tex] ----> by SOH (opposite side divided by the hypotenuse)
[tex]h=\frac{3\sqrt{2}}{sin(45^o)}[/tex]
Remember that
[tex]sin(45^o)=\frac{\sqrt{2}}{2}[/tex]
substitute
[tex]h=3\sqrt{2}:\frac{\sqrt{2}}{2}[/tex]
[tex]h=6\ units[/tex]
What is the wright answer
Answer:
Yes, these two fractions are equivalent. Additional equivalent fractions are given below.
Step-by-step explanation:
To determine if two fractions are equivalent, we should simplify each fraction into its simplest form.
Brett's fraction is 4/8. To simplify this fraction, we should divide both the numerator the denominator by the GCF, or greatest common factor. The GCF is 4, so we should divide both of these numbers by this factor to simplify. This is shown below:
4/8 = 4/4 / 8/4 = 1/2
Aisha's fraction is 1/2. Since the GCF of 1 and 2 is 1, we know that this fraction is already in its simplest form.
When we compare the simplified versions of the two fractions, we see that they are both 1/2; therefore, they are the same.
To determine additional equivalent fractions, we should multiply both the numerator and the denominator by the same factor. For example, 4/8 is generated by multiplying both the numerator and denominator by a factor of 4. By this same logic, 2/4, 3/6, and 5/10 are all also equivalent fractions (multiplied by factors of 2, 3, and 5, respectively).
For more information on simplifying fractions and finding GCFs, please check out these other questions on Brainly:
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If you earn $2850 per month and you expect your earnings to increase by 6.6% per year, how much do you think you will be making in 2 years?
Answer:
To calculate how much you will be making in 2 years, given that you earn $2850 per month and your earnings are expected to increase by 6.6% per year, we can follow these steps:
1. Calculate the annual increase: To find the annual increase, we multiply the current earnings by the percentage increase. In this case, the annual increase would be 2850 * 0.066 = $188.10.
2. Calculate the total increase over 2 years: Since the earnings are expected to increase by the same amount each year, we can multiply the annual increase by 2 to get the total increase over 2 years. In this case, the total increase would be 188.10 * 2 = $376.20.
3. Calculate the future earnings: To find the future earnings after 2 years, we add the total increase to the current earnings. In this case, the future earnings would be 2850 + 376.20 = $3226.20.
Therefore, based on the given information, you can expect to be making approximately $3226.20 in 2 years.
If you earn $2850 per month with an annual increase of 6.6%, in two years you will be making approximately $3239.40 per month.
If you are currently earning $2850 per month and expect your earnings to increase by 6.6% each year, then to calculate your earnings in 2 years, we need to take into account the compound interest formula which can be applied to salary growth as well. The formula to calculate the future value after a certain number of years is:
Future Value = Present Value x (1 + Rate of Increase)Number of Years
In this case, your Present Value is $2850, the Rate of Increase is 6.6% (expressed as a decimal, which is 0.066), and the Number of Years is 2.
Calculate the earnings for the first year: $2850 x (1 + 0.066) = $3038.10.
Then calculate the earnings for the second year: $3038.10 x (1 + 0.066) = approximately $3239.40.
Therefore, in two years, you would be making approximately $3239.40 per month.
I walked for 2 1/2 hours at 4km/h and for 4 hours at 2 1/2 km/h. What was the average speed for the entire journey?
Average speed of the entire journey is 3.08 km/hr
Step-by-step explanation:
Step 1: In the first half, given that the speed = 4 km/h and time = 2 1/2 = 2.5 hrs. Calculate the distance covered.Distance = Speed × Time = 4 × 2.5 = 10 km
Step 2: In the second half, given that speed = 2 1/2 = 2.5 km/hr and time = 4 hrs. Calculate the distance covered.Distance = 2.5 × 4 = 10 km
Step 3: Calculate average speed.Average Speed = Total distance/Total time
= 10 + 10/2.5 + 4 = 20/6.5
= 3.08 km/hr
Find the percent of change:
Original = 70
New = 100
Answer:30
Step-by-step explanation:
100-70
which expression is equivalent to 3/4(-12x+4) + 1/2(6x
Answer:
y = -6x + 3
Step-by-step explanation:
y = 3/4(-12x+4) + 1/2(6x)
y = -9x + 3 + 3x
y = -6x + 3
If this answer is correct, please make me Brainliest!
a movie is 2 hours and 23 minutes long. if the moive ends at 4:25 what time did the movie start?
five times a certain number, minus 5 is equal to 7 more than three times the number
To solve the equation, we can set up the equation as '5x - 5 = 3x + 7' and solve for x using algebraic manipulations.
Explanation:Let's solve this equation step by step. Let's assume that the number we are looking for is 'x'.
According to the question, 'five times a certain number, minus 5' can be represented as 5x - 5. And 'seven more than three times the number' can be represented as 3x + 7.
So, we can write the equation as 5x - 5 = 3x + 7. Now, let's solve for x.
Subtract 3x from both sides: 5x - 3x - 5 = 3x - 3x + 7.
Simplify: 2x - 5 = 7.
Add 5 to both sides: 2x - 5 + 5 = 7 + 5.
Simplify: 2x = 12.
Divide both sides by 2: 2x/2 = 12/2.
Simplify: x = 6.
Therefore, the solution to the equation is x = 6.
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Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12
Subtract 11-5
Subtract 12-4
Add 11+5.
Add 12+4.
Answer:
12 - 4
Step-by-step explanation:
Hurry!! Fast!! 10 points!!
The lengths of two sides of a triangle are 15 inches each. The third side measures 10 inches. What type of triangle is this? Explain your answer using geometric terms.
Answer:
it is an Isosceles triangle
Step-by-step explanation:
because it has two side the same and the other one is different
Answer
isosceles triangle
Step-by-step explanation:
16,15,13,12,17,14,11,9,11,9,10,9 find the median,first quartile (Q1), and third quartile (Q3)
Answer:
12
Step-by-step explanation:
ALL YOU HAVE TO DO IS PUT THE NUMBERS IN ORDER THEN FIND THE MIDDLE NUMBER
Answer:
median = 11.5 . first quartile = 9.5 , third quartile = 14.5
Step-by-step explanation:
arrange the 12 numbers in order:9,9,9,10,11,11,12,13,14,15,16,17
mediansince there is an even number (12)
we can divide by 2
12 /2
= 6th position and 7th position
= 11 + 12
= 23 / 2 = 11.5
median is 11.5first quartileis also known as the lower quartile is half of the median position
6/2 = 3rd position and 7/2 = 3.5th position
9 + 10 = 19
19 / 2 = 9.5
first quartile is 9.5third quartilealso known as upper quartile
is the position of median + position of lower quartile
= 6 +3 = 9th position and 7 +3 = 10th position
= 14 + 15 = 29
29/2 = 14.5
third quartile is 14.5HIJK is a parallelogram. Find w.
*show your work please*
__
giving brainliest to correct answer
Answer:
w = 4
Step-by-step explanation:
Since the figure is a parallelogram, we know that opposite sides must be equivalent. That means that JK = HI. So w + 29 must equal 9w - 3.
Once the problem is set up, it looks like: w + 29 = 9w -3.
Now you have to try to get the variables on one side. To do that, subtract 29 from both sides: w = 9w - 32.
Now subtract 9w from both sides: -8w = -32
Divide both sides by -1 to make them positive: 8w = 32
And divide both sides by 8 to find the value of w: w = 4
Hope this helps!
What is the slope of the following graph?
Slope is 20/3 or 6.67
Step-by-step explanation:
Step 1: Slope, m is given by the equation (y2 - y1)/(x2 - x1). Here, x1 = 6, x2 = 12, y1 = 40 and y2 = 80⇒ m = (80 - 40)/(12 - 6)
= 40/6 = 20/3 or 6.67