Answer:
a) 9
b)
[tex]1 \frac{1}{3} [/tex]
c) 15
Step-by-step explanation:
The first step is to cancel out the fraction's denominator if possible.
a)
[tex]15 \times \frac{3}{5} [/tex]
We can cancel the 5 out since 15 divided by 5 is 3. The answer that comes out is
[tex]3 \times \frac{3}{1} [/tex]
Since 3/1 is 3, we can now simplify the values:
[tex]3 \times 3 = 9[/tex]
b)
[tex]4 \times \frac{1}{3} [/tex]
4 is indivisible by three and gives a non-whole value. This is not what we need here.
Instead we should do the division rule and find the remainder.
In this case, 4 divided by 3 gives 1 with a remainder of 1.
[tex]4 \times \frac{1}{3} = \frac{4}{3} [/tex]
After we simplify the non-mixed fraction, we have to change it into a mixed fraction, which consists of a whole number and a fraction. We can split it into the following:
[tex] \frac{4}{3} = 1r1[/tex]
The r1 is just the remainder of the fraction. Since we cannot remove 1 from the remainder, we add it back into the fraction's denominator of 3. This gives:
[tex] \frac{4}{3} = 1 + \frac{1}{3} = 1 \frac{1}{3} [/tex]
c)
[tex] \frac{5}{2} \times 6[/tex]
For this part, we can cancel out 2 since 6 is divisible by 2. This gives:
[tex] \frac{5}{1} \times 3[/tex]
Since 5/1 is 5,
we can now solve part c:
[tex]5 \times 3 = 15[/tex]
Find the pressure exerted by a force of 240 N on an area of 30 cm2. Find the answer in SI unit
Answer:
Pressure is 80,000 pascals.
Step-by-step explanation:
Area:
[tex] = { \bf{ 30 \times {10}^{ - 4} \: {m}^{2} }}[/tex]
Pressure:
[tex]{ \bf{pressure = \frac{force}{area} }} \\ \\ { \tt{ = \frac{240}{30 \times {10}^{ - 4} } }} \\ = { \tt{80000 \: pascals}}[/tex]
Find the value of x to the nearest tenth.
Answer:
Step-by-step explanation:
Using Pythagoreus Theorem
In the smaller rectangle
2²+4² = h²
20 = h²
h = √20
h = 2√5
Therefore two sides of the rectangle will 2√5
No using pythagoreus theorem in the bigger triangle
x² + (2√5)² = 9²
x² = 9² - (2√5)²
x² = 81 - 20
x = √61
x = 7.8102496759
When rounded off to nearest tenth the hundreth digit is in 0-5 range
x = 7.81
Please click thanks and mark brainliest if you like
-2 (x+5):4
Pliss es para hoy
I don't know how you want it solved but, I am giving u -2 I hope this helps
What is the area of the shaded region on the graph shown?
Answer:
As Doris Day said: Good morning to you
Answer 27/2
Step-by-step explanation:
[tex]f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}[/tex]
The weight of an object on the moon is
1/6 of its weight on Earth. If a moon rock
weighs 20.5 lb on Earth, how much did
the moon rock weigh on the moon?
Answer:
1/6 = 0.16 = 16%
restate the question: 16% of 20.5 is what? multiply: 20.5*.16 = 3.28 now, to find the weight of the object on the moon, subtract 16% from 20.5. 16% of 20.5 is 3.28 20.5-3.28 = 17.22 = 17 22/100 = 17 11/50
the weight of the object is 17 11/50 pounds on the moon.
Guys please help me solve this I’m struggling
Answer:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
Step-by-step explanation:
Given
[tex]z = 4x + 5y[/tex]
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
Required
The maximum and minimum of z
To do this, we make use of the graphical method
See attachment for graphs of
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
The corner points of the function are:
[tex](x,y) = (-1,1)[/tex]
[tex](x,y) = (-1,0)[/tex]
[tex](x,y) = (-1,-1)[/tex]
We have:
[tex]z = 4x + 5y[/tex]
Calculate z with the above values
[tex]z = 4(-1) + 5(1) = 1[/tex]
[tex]z = 4(-1) + 5(0) = -4[/tex]
[tex]z = 4(-1) + 5(-1) = -9[/tex]
So, we have:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
Comparing Distance
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference?
A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units.
Which describes the relationship between the distance and the difference?
The distance is always the opposite of the difference.
The distance is exactly the difference.
The distance is the absolute value of the difference.
The distance is not related to difference.
NEED HELP FOR EDGUNITY
Answer:
C. The distance is the absolute value of the difference.Step-by-step explanation:
See the table made based on the given values.
It is easy to note that the numbers in the distance column are same as numbers in the a - b column but all numbers being positive.
So we can say that:
distance = |a - b|Correct choice is C
Good Afternoon I am really stuck on this question whoever solves it I will give them brainliest with no unacceptable question thank you so much!
Answer:
Card picked=2
P(factors of 28)={1,2,4,7,14,28}
total cards=4
in percentage=4 x 20 + 20
80+20=100
Therefore 2 in percentage will be
2 x 20 + 20
=40+20=60%
6. Alex and Brian park their bikes side-by-side. Alex leaves to visit friends, and Brian leaves 30 minutes later,
headed for the same destination. Alex pedals 5 miles per hour slower than Brian. After 1 hour, Brian passes Alex. At
what speed are they each pedaling?
Answer:
See below.
Step-by-step explanation:
When Brian passes Alex they both have travelled the same distance.
Call this distance d.
Let the speed that Brian passes = x miles/hour.
Distance = speed * time so:
For Alex:
d = (x - 5) * 1.5 ( Alex cycles for 1 + 30 minutes = 1.5 hours)
For Brian:
d = x * 1
So substituting d = x in Alex's equation:
x = 1.5(x - 5)
x = 1.5x - 7.5
7.5 = 0.5x
7/5 / 0.5 = x
15 = x.
ANSWER:
Brian's speed is 15 miles/hour.
Alex's speed is 15 - 5 = 10 miles/hour.
Please help me ASAP I need help
Answer:
(-9,1.5)
Step-by-step explanation:
(-6*1.5, 1*1.5)
Find the surface area of the cube shown below.
units?
2 1/2
Answer:
SA = 37.5 units^2
Step-by-step explanation:
2 1/2 = 2.5
the Surface Area of the cube
SA = 6a^2
SA = 6(2.5)^2
SA = 6(6.25)
SA = 37.5 units^2
13. Classify the following number. (Select all that apply) *
-10
Natural
Whole
Integer
Rational
Irrational
Answer:
-natural
-whole
-integer
-rational
Brainliest is very much appreciated! :)
Find the missing length.
Answer:
[tex]\frac{12}{16} =\frac{16-x}{12}[/tex] → [tex]144=256-16x[/tex]
[tex]16x=256-144[/tex]
[tex]16x=112[/tex] → [tex]x=7[/tex]
OAmalOHopeO
Please rewrite in simplest radical form (the problem in the photo below). Show each step of the process and explain what you did. Thank you for your time.
Answer:
√x
Step-by-step explanation:
1/(x^(-3/6)
= x^(3/6)
= x^(1/2)
= √x
A television was sold at a gain of 20% after allowing a discount of 20% on its marked price . Had it been sold after allowing 25% discount there would have been a gain of Rs.1450. Find the marked price of the television.
Answer: The marked price is 40% more than the original price
40% - 25% = 15% or 1450
Marked price = 140%
140 × 1450 ÷ 15 = 13533. 33
Step-by-step explanation:
A number line is divided into fifths. How many equal segments are there between the point at zero and the point 4/5?
Answer:
3?
Step-by-step explanation:
A little confused by the question but is it just
1/5 2/5 3/5 4/5
1 2 3 4
so theres 3 in between
If f(x)=x^2-11, for what values of z is f(x) < 25?
a) -6 < x
b) x < 6
c) x ≤ -6 or x ≥ 6
d) -6 < x < 6
Answer:
D
Step-by-step explanation:
f(x) < 25
x² - 11 < 25
x² < 36
-6 < x < 6
There are 38 chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it and then select a second piece. Find the probability of selecting 2 solid chocolate in a row
Answer:
0.1294
Step-by-step explanation:
Number of chocolates in box = 38
Number of nuts = 8
Number of caramel = 16
Number of solid chocolate = 14
Since 2 are selected in a row and not replaced, then;
Probability of first being solid chocolate = 14/38
Probability of second being solid chocolate after first one = 13/37
Thus;
P(2 selected in a row being solid chocolate) = 14/38 × 13/37 = 0.1294
Enter the repeating digit:
[tex] \frac{2 }{3} = 0. \frac{?}{?} [/tex]
Answer:0.6666...
Step-by-step explanation:
Dividing
18. PLEASE HELP ME
Solve the equation using square roots.
x2 – 14 = –10
A. ±2
B. 2
C. no real number solutions
D. ±4
9514 1404 393
Answer:
A. x = ±2
Step-by-step explanation:
Add 14, then take the square root.
x^2 -14 +14 = -10 +14
x^2 = 4
x = ±√4
x = ±2
Answer:
A
Step-by-step explanation:
X^2-14=-10
X^2=14-10
X^2=4
√X2=√4
X=±2
What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, ...
Answer:
B. 4
Step-by-step explanation:
54 - 4 = 50
50 - 4 = 46
46 - 4 = 42
42 - 4 = 38
Answer: D. -4
Step-by-step explanation: took the quiz and got it right.
Given that f(x) = | x | is the parent function and that g(x) is the parent function reflected over the y-axis and contains a horizontal shrink by a factor of 1/3. Which of the following functions represents g(x)?
In geometry, several transformations (such as dilation, rotation, reflection, etc.) can be applied to move a parent function to a new function. The function that represents g(x) is [tex]g(x) = 3|x|[/tex]
Given that:
[tex]f(x) = |x|[/tex]
First, we reflect over the y-axis.
The rule of this transformation is: [tex](x,y) \to (-x,y)[/tex]
So, the function becomes
[tex]f'(x) = |-x|[/tex]
[tex]f'(x) = |x|[/tex]
Next, shrink horizontally by 1/3
The rule of this transformation is: [tex](x,y) \to (\frac{x}{a},y)[/tex]
Where:
[tex]a = \frac{1}{3}[/tex]
So, we have:
[tex]g(x) = |\frac{x}{1/3}|[/tex]
[tex]g(x) = |3x|[/tex]
[tex]g(x) = 3|x|[/tex]
Hence, the function that represents g(x) is [tex]g(x) = 3|x|[/tex]
Read more about function transformations at:
https://brainly.com/question/12865301
Please help me solve this short problem today is my last day to complete these
Answer:
shift of 1 unit to the right
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Given the parent function is y = x² , then
y = (x - 1)² is a shift to the left of 1 unit of the parent function
translation geometry please help!! Acellus
Answer:
A' (-6,3)
B' (-3,0)
C' (-7,1)
Answered by GAUTHMATH
Answer:
A -6, 3
C -7 1
B -3,0
Step-by-step explanation:
Abby cuts a sheet of paper in half, making two triangles. If the piece of paper is 16cm long by 12cm wide, how long is the diagonal?
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem
diagonal² = 16² + 12² = 400
diagonal = √400 = 20 cm
The statements below can be used to prove that the triangles are similar. On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long. StartFraction A B Over X Y EndFraction = StartFraction 4 Over 2 EndFraction ? StartFraction A C Over X Z EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction △ABC ~ △XYZ by the SSS similarity theorem. Which mathematical statement is missing?
Answer: c. BC/YZ=6/3
Step-by-step explanation:
trust
Answer: The answer is C. BC/YZ = 6/3
Step-by-step explanation:
Got it right on edge 2023
1)2x(3x^2-2x+1)
2)4x(1-x-3x)
Answer:
1. 3x^3 - 2x^2 - x
2. -4x^2 + x
Step-by-step explanation:
please help me asap
Answer:
Does the answer help you?
Which type of option helps the importer to hedge risks of exchange rate? A. Put option B. All names are not correct c. Call option d. Call option and put option
Answer:
Call option and put option ( D )
Step-by-step explanation:
During hedging in stock/financial markets both the Call and put option can be used to hedge the trading position of the trader against the change in exchange. This is because the call or put option is used depending on the initial position of the trader.
Call option is used when the trader is currently holding a short position
Put option is used when the trader is currently holding a long position
Pls help I am giving brainliest help me ASaP
Answer:
4
Step-by-step explanation:
4 because 4^2 = 16.
