Answer:
16/33
Step-by-step explanation:
2 4/3 --> 10/3
6 7/8 --> 55/8
10/3 / 55/8
10/3 x 8/55
80/165 --> divide by 5
16/33
Answer:
[tex]\frac{16}{33}[/tex]
Step-by-step explanation:
When you're having trouble dividing, use the "keep, change, flip" method. First reduced the fractions:
2 4/3 --> 10/3
6 7/8 --> 55/8
The problem should not be: [tex]\frac{10}{3}[/tex] ÷ [tex]\frac{55}{8}[/tex]
For "keep, change, flip", keep [tex]\frac{10}{3}[/tex] as normal, change the division symbol into a multiplication symbol (it's opposite), and flip [tex]\frac{55}{8}[/tex] to make [tex]\frac{8}{55}[/tex]
The problem should now be: [tex]\frac{10}{3}[/tex] × [tex]\frac{8}{55}[/tex]
Now multiple to get: [tex]\frac{80}{165}[/tex]
And reduce to get: [tex]\frac{16}{33}[/tex]
The body temperature in Fahrenheit of a sheep is modeled by the equation T=0.6sin(π28(t−9))+101.6, where t is the number of hours. To the nearest tenth of a degree, what is the temperature of the sheep when t=3? Do not include the units in your answer. NOTE: The angle is in degrees.
Answer:
101.6
Step-by-step explanation:
The temperature of the sheep when t = 3 is 101.24 degrees Fahrenheit.
Given that,
The body temperature in Fahrenheit of a sheep is modeled by the equation,
[tex]T = 0.6sin(\dfrac{\pi }{28} (3-9)) + 101.6[/tex]
where t is the number of hours.
Now, substitute t=3 into the equation;
[tex]T = 0.6sin(\dfrac{\pi }{28} (3-9)) + 101.6[/tex]
[tex]T = 0.6sin(\dfrac{\pi }{28} (- 6)) + 101.6[/tex]
Since, [tex]sin(\dfrac{\pi }{28} (- 6)) = - 0.5637[/tex]
Therefore, the temperature of the sheep when t=3 is:
[tex]T = 0.6sin(\dfrac{\pi }{28} (- 6)) + 101.6[/tex]
[tex]T = 0.6 \times - 0.5637 + 101.6[/tex]
[tex]T = 101.24[/tex]
So, the temperature of the sheep when t = 3 is 101.24 degrees Fahrenheit.
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Which option is an example of an experiment?
A. Testing the effectiveness of a new reading program by allowing a
classroom to use it and comparing the results with another classroom that doesn't use it
B. Asking students in a school how much time they spend exercising
C. Measuring the heights of the players on the basketball team
D. Randomly choosing 100 customers and asking them to fill out a questionnaire about the quality of service they received
A. Testing the effectiveness of a new reading program by allowing a
classroom to use it and comparing the results with another classroom that doesn't use it
What is an experiment?An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
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Each big square below represents one whole. What percent is represented by the shaded area?
Answer: 145%
Step-by-step explanation: It is 145% because all the squares represent 1% and each graph is 100%. One of the graphs are 100% shaded and the other is only 45% shaded. Adding these two percentages make 145%.
Mallory has $9 to buy lollipops that cost $0.35 each. What is the greatest number of lollipops she can buy?
Identify the terms and like terms in the expression.
T + 8 + 3t =
Answer:
3t and T are like terms
8 is an unlike term
solve for x: 3-2(2x-5)<-4(x+2)
Answer:
no solution
Step-by-step explanation:
to solve this we should first distribute
3 - 4x + 10 < -4x - 2 (fyi you need to multiply the negatives into the parenthesis)
and then you combine like terms
13 < -2
because 13 is always greater than -2, this statement will never be true
Answer:
x ∈ ∅Step-by-step explanation:
3 - 2(2x - 5) < - 4(x + 2)3 - 4x + 10 < -4x - 813 - 4x < -4x - 813 < - 8This inequality is false hence no solution
Which of the following points lies on the line perpendicular to
y = -x + 4, passing through (0,4)?
A (6,12)
B (6,0)
C (-6,-5)
D (12,-4)
E (0,1/4)
Answer:
Step-by-step explanation:
recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.
also recall that the formula to find the slope of a line is m=y2-y1/x2-x1
to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.
lets do the math now:
option a)
m=y2-y1/x2-x1
m=12-4/6-0
m=8/6
m=4/3
this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1
option b)
m=y2-y1/x2-x1
m=0-4/6-0
m=-4/6
m= -2/3
this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1
--------------
ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.
toodles! :)
Find the Secant <H
see photo for answer instructions
Answer:
for angle H ,
hypotenuse = gh( √77)
adjacent side= ih( √35)
perpendicular=gi( √42)
then
we know
secant=hypotenuse /adjacent
=√77/√35
PLZ HELP ME ON THIS QUESTION THIS IS THE LAST ONE I NEED
Answer:
(-3 1/3)(a)+6
Step-by-step explanation:
Djrjdjejciejfiejcjejdjejxj
Answer:
Djrjdjejciejfiejcjejdjejxj
Use the Distributive Property to expand the
expression y(9 -0.2x).
Answer:
9y - 0.2xy
Step-by-step explanation:
Answer
9y−0.2yx
Step-by-step explanation:
9 times y = 9y
y times -0.2x = -0.2xy
A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine, guanine, and thymine). How many DNA sequences are exactly 29 letters long?
To solve that question we can think by the following way:
The first letter can be any of the letters (A, C, T or G). Therefore there are 4 possibilites.To choose the second letter of the sequence, any letter also can be chose. So, one more time, there are 4 possibilites.Using the fundamental principle of counting, we will find out that can be formed [tex]4\times 4 = 16[/tex] differents sequences (for example, AA, AG, TT, TG, CT...).
Know we know that, we can generalize. If I have [tex]n[/tex] elements and I must choose one of them [tex]t[/tex] times to do a sequence, the total number of sequence that I can form will be [tex]n^t[/tex].
In our question, we want to know how many DNA sequence are exactly 29 letters long. As indicated above, the answer for that is [tex]4\times 4\times 4\times ... \times 4[/tex] (29 times) [tex]= 4^{29}[/tex].
Therefore, there are [tex]4^{29}[/tex] DNA sequences with exactly 29 letters long.
I hope I've helped you. =D
Enjoy your studies. \o/
4. The midpoint of VW is M-1, -2). One endpoint is W(4.4). Find the coordinates
of endpoint V.
See
Step-by-step explanation:
The distance formula is used to find the distance between two points in the coordinate plane.
An item is regularly priced at $50. It is on sale for 30% off the regular price. How much (in dollars) is discounted from the regular price?
Answer:
Hii, okay so you pay $35 dollars and you're saving $15. Hope this helps!
Step-by-step explanation:
The discounted amount is $15.
What is discount?A discount is an amount that is subtracted from the regular price of an item.
How to obtain the required amount?Regular price of the item is $50
Discount percentage is 30%
∴ The discounted value = 30×50/100 = 15
Thus, The discounted amount is $15.
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Actividad 3 Colorea las partes de las figuras como se te indican y contesta
Answer:
bshshdjdjjshdbbennjsnsvxhsbnana
solve pls brainliest
Answer:
a. 68℉ higher
b. -15℉
Step-by-step explanation:
a. [tex]42-(-26)=68[/tex]
b. [tex]-26+11=-15[/tex]
Evaluate [-3c] for c = 4.2
Hey there!
Guide
• 2 Negatives = [Positive]
• 1 positive & 1 negative = [Negative]
• 2 positives = [Positive]
• 1 negative & 1 positive = [Negative]
° So, this means that your answer most likely will equal a NEGATIVE number because you have 1 NEGATIVE (-3) number and 1 POSITIVE (“c” or 4.2) number.
-3c
= -3(4.2)
= -12.6
Therefore, your answer is: -12.6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Given f(x) contains the point (-5,6), find the point contained on
f-1(x).
Answer:
[tex]\displaystyle f^{-1}(6) = -5[/tex]
Step-by-step Explanation:
Recall that by the definition of inverse functions:
[tex]\displaystyle \text{If } f(a) = b\text{, then } f^{-1}(b) = a[/tex]
We are given the function f which contains the point (-5,6). In other words:
[tex]\displaystyle f(-5) = 6[/tex]
Then by the definition of inverse functions:
[tex]\displaystyle f^{-1}(6) = -5[/tex]
What does LCM mean in mathematics
Answer:
Lowest common factor.......
Please answer!!! No links!!
Picture is included
Answer:
6x10^-5
Step-by-step explanation:
6 Moves 5 places to the left to become the whole number.
It's negative 5 as you moved the digit from a decimal to whole number.
As it moved 5 places it's x100000.
So it's 10^5 but it's negative
If a car travels 200km in 2.5 hours, how far would it travel in 6 hours at the same rate of speed?
Answer: 480
Step-by-step explanation:
To solve this, you need to set up a proportion: 200/2.5 x/6
The 200 represents the km, and the 2.5 and 6 represent the hours. You can either solve this by multiplying 200 by 6 and setting it equal to 2.5 by x then solving for x, or you can find the rate the car travels in km in one hour. To do that, you divide 200 by 2.5 and get 80: this is your km per hour. Then you multiply that to 6 to see how far the car will go in 6 miles if it continues at the speed of 80 km per hour.
Answer:
Answer: 480 km
Step-by-step explanation:
As we know that if we keep speed or velocity constant, distance is directly proportional to time.
• In the first case:
[tex]{ \rm{d_{1} = kt _{1}}}[/tex]
d1 is 200 kmt1 is 2.5 hoursk is a constant of proportianality• Substitute the variables with their respective values to find the value of constant, k
[tex]{ \rm{200 = (k \times 2.5)}} \\ \\ { \rm{k = \frac{200}{2.5} }} \\ \\ { \underline{ \rm{ \: \: k = 80 \: km {h}^{ - 1} \: \: }}}[/tex]
• In the second case
[tex]{ \rm{d _{2} = kt _{2} }}[/tex]
d2 is what we needt2 is 6 hoursk is 80 kmh-¹[tex]{ \rm{d _{2} = (80 \times 6)}} \\ \\ { \boxed{ \boxed{ \rm{ \: \: d _{2} = 480 \: km \: \: }}}}[/tex]
Find Each Quotient.
1.6÷13.8
Answer:
8/69
Step-by-step explanation:
1.6÷13.8
convert the decimal into fraction so 8/5 ÷ 13.8 and 8/5÷69/5 multiply by the reciprocal and reduce the number and you will get 8×1/69
PLS HELP
2. Write a quadratic function to the model to the graph to the right
Type your answers into the boxes.
Complete the following questions,
(9 + 5) - 7 =
(18-6) + 4 + 6 =
Answer:
(9+5)-7= 7
(18-6) +4+6 = 22
Answer:
(9 + 5) - 7 = 7
(18-6) + 4 + 6 = 22
Step-by-step explanation:
Sophie has $200 in a savings account that earns 5% annually. The interest is not
compounded. How much will she have in total in 1 year?
Answer:
$210
Step-by-step explanation:
Formula:
P = A (1 + r% x t)
P: Answer
A: Original value
R%: Percentage increase
T: Time
P = 200 (1 + 5% x 1)
P = $210
Hello, please help me out on this, I really need help (:
15 tenths 3 ones
total of 153
- the linear graph for the equation y = 3x + 1
Answer:
sda
Step-by-step explanation:
sad
Answer:
Step-by-step explanation:
Can someone explain to me how to do this
Step-by-step explanation:
The square root of 4 is simply just 2 or in other words, 4–√
= 2. It is one of those numbers which have a perfect square number. Since it is a perfect square number, the square root of 4 can be found easily.
is (1,4) a solution to this system of inequalities? 11x + y < 19 8x + 3y < 11
Answer:
Since Inequality #1 was false, or not a solution, this shows that (1, 4) is not a solution.
Step-by-step explanation:
1)
[tex]11x+y<19\\y<19-11x\\[/tex]
2)
[tex]8x+3y<11\\3y<11-8x\\y<3\frac{2}{3}-2\frac{2}{3}[/tex]
Try Our Solutions:
1)
[tex]y<19-11x\\Substitute: (1, 4)\\4<19-11(1)\\4<19-11\\4<8\\False[/tex]
solve 276x28 using the standard algorithm
Answer:
7728
work is shown in the image I attached!!