Answer:
9
Step-by-step explanation:
I recently bought a sheet of postage stamps with a dragon theme. If each stamp is 7/8 inch wide and 1-1/4 inches long what's the area and perimeter of each stamp?
Answer:
[tex]1\dfrac{3}{32}\ \text{inches}^2[/tex]
[tex]4\dfrac{1}{4}\ \text{inches}[/tex]
Step-by-step explanation:
w = Width of a stamp = [tex]\dfrac{7}{8}\ \text{inch}[/tex]
l = Length of a stamp = [tex]1\dfrac{1}{4}\ \text{inch}[/tex]
Area is given by
[tex]A=lw\\\Rightarrow A=\dfrac{7}{8}\times 1\dfrac{1}{4}\\\Rightarrow A=\dfrac{7}{8}\times \dfrac{5}{4}\\\Rightarrow A=\dfrac{35}{32}\\\Rightarrow A=1\dfrac{3}{32}\ \text{inches}^2[/tex]
The area of each stamp is [tex]1\dfrac{3}{32}\ \text{inches}^2[/tex]
Perimeter is given by
[tex]P=2(l+w)\\\Rightarrow P=2(\dfrac{7}{8}+\dfrac{5}{4})\\\Rightarrow P=2\times \dfrac{17}{8}\\\Rightarrow P=\dfrac{17}{4}=4\dfrac{1}{4}\ \text{inches}[/tex]
The perimeter of each stamp is [tex]4\dfrac{1}{4}\ \text{inches}[/tex].
3-3 Additional Practice
1. Two linear functions are shown below. Which function has the greater
rate of change?
Answer:
Function A
Step-by-step explanation:
Function A rate of change:
Using two given pairs of values, (4, 32) and (8, 44):
Rate of change = ∆y/∆x
= (44 - 32)/(8 - 4)
= 10/4
Rate of change = ⁵/2
Function B rate of change:
Using two points on the line, (2, 4.5) and (4, 6.5):
Rate of change = ∆y/∆x
= (6.5 - 4.5)/(4 - 2)
= 2/2
Rate of change = 1
Function A has the greater rate of change
Function A has the greater rate of change.
Here, we have,
Function A rate of change:
Using two given pairs of values, (4, 32) and (8, 44):
Rate of change = ∆y/∆x
= (44 - 32)/(8 - 4)
= 10/4
=5/2
Rate of change = 5/2
Function B rate of change:
Using two points on the line, (2, 4.5) and (4, 6.5):
Rate of change = ∆y/∆x
= (6.5 - 4.5)/(4 - 2)
= 2/2
Rate of change = 1
Function A has the greater rate of change.
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I need help on my math homework.
Answer:Should be 65%
Step-by-step explanation:
Answer:
65%
Step-by-step explanation:
What’s the largest 3 digit that can be devided into 6,7,8?
Answer:
There are none.
Step-by-step explanation:
The factors of 6 are: 1, 2, 3, 6
The factors of 7 are: 1, 7
The factors of 8 are: 1, 2, 4, 8
Then the greatest common factor is 1.
Hope this helped! ^ ^
The scatter plot shows the number of CDs in millions that were sold from 2011 to 2016. Use the points (2, 2485.6) and (6, 1172.5) to write an equation of the line of fit in slope-intercept form. Let x be the years since 2010 and let y be the number of CDs in millions sold.
Answer:
slope -intercept form
y = -328.275 x + 3142.15
Step-by-step explanation:
Step(i):-
Given that the points are (2, 2485.6) and (6,1172.5)
The slope of the line
[tex]m = \frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{1172.5-2485.6 }{6-2 }[/tex]
[tex]m = - 328.275[/tex]
Step(ii):-
Equation of the straight line passing through the Point (2,2485.6)
[tex]y - y_{1} = m(x-x_{1} )[/tex]
y - 2485.6 = (-328.275)(x-2)
y - 2485.6 = -328.275x+656.55
y = -328.275x+656.55 + 2485.6
y = -328.275 x + 3142.15
Final answer:-
slope -intercept form
y = -328.275 x + 3142.15
The coordinates of the vertices for rectangle ABCD are A (2,4), B (6,10), C (9,8) and D (5,2). What
is the length of a diagonal (AC or BD) of the rectangle?
A √13
B √52
C √60
D √65
Answer:
D. [tex]\sqrt{65}[/tex]
Step-by-step explanation:
The computation of the length of a diagonal (AC or BD) of the rectangle is shown below:
As we know that
The Diagonal length of AC is
[tex]= (x_2 - x_1)^2 + (y_2 - y_1)^2\\\\= (9 -2)^2 + (8 - 4)^2\\\\= (7)^2 + (4)^2[/tex]
[tex]= \sqrt{49 + 16}\\\\= \sqrt{65}[/tex]
Therefore correct option is D.
For all values of x, f(x) = x^2 + 1 and g(x) = x-5
(a) Show that fg(x) = x^2 - 10x + 26
(b) Solve fg(x) = gf(x)
Answer:
a) f g(x) = x³ - 5 x² + x -5
b) g(f(x) = x³ - 5 x² + x -5
Step-by-step explanation:
Step(i):-
Given that f(x) = x² + 1 and g(x) = x-5
a)
f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26
Step(ii):-
a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5
b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5
plz help
Consider the sequence 5, 12, 19, 26, ...
Enter numbers in the boxes to represent the fourth term as an ordered pair.
Answer:
5, 12, 19, 26, 33
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 7 to the previous term in the sequence gives the next term. In other words, an=a1 + d(n − 1) .
Arithmetic Sequence: d=7
This is the formula of an arithmetic sequence.an=a1 + d(n-1)
Substitute in the values of
a1=5 and d=7. an=5 + (7) (n − 1)
Simplifly each term : an=5 + 7n − 7
Subtract 7 from 5.
an=7n − 2
PLEASE HELP!! x2 – 16
Answer:
think its the last one
Step-by-step explanation:
because 1 represents x and x times x is x squared and 4 times minus 4 equals minus 16
Solve the given equation for y. Enter DNE if there is no solution. Enter R if all numbers are the solution. 7y+5=6y+1.
How would I solve this?
Answer:
I think the answer is Y= -4. I'm not really sure what you are asking for though.
Step-by-step explanation:
7y + 5= 6y + 1
7y = 6y - 4
y = -4
I hope this helps!
*falls because too much math-*
please help! will give brainliest :(
Which picture shows a rotation of the flag?
Answer:
it has no pic
Step-by-step explanation:
Cab someone help me finish this question on my hw please
Answer:
52 feet
Step-by-step explanation:
14(2) = 28
12(2) = 24
28 + 24 = 52
Can someone help me pls
Answer:
9
Step-by-step explanation:
V=πr²h
2797.74=πr²11
2797.74÷11π=r²
81=r²
√81=r
9=r
Select the statement that is FALSE.
A.
A square has four right angles and four equal sides.
B.
A rectangle has four right angles.
C.
A rhombus has four right angles.
Answer:
C
Step-by-step explanation:
if a rhombus has 4 right angles it wpuld be a square
Read the following values to 3 significant figures:
a) 3.676401
b) 4.2368
c) 3.9256
d) 17.026724
e) 87.5217
tions on NOTEPADS
SUS
Expand and simplify the following
6(x + 2) - 3(x + 4)
3/4 + (1/3 divided by 1/6) - (-1/2) =
Answer: 3.25
Step-by-step explanation:
I NEED HELP WITH THIS ASAP PLSSS HELPPP ME!!!!!!!!
Answer:
hdbj
Step-by-step explanation:
someone please help!!
Answer:
c. the circumference is equal to 2 * pi * 11.7
73.51
d. r= c/2pi
please helpp pleasee!!!
Answer:
The second choice. Because the x-coordinate in the second choice is constant unlike the others, which is a property of a function.
A circle's circumference is approximately 76 cm what is the diameter of the circle rounded to nearest whole number
The Day before the day before yesterday was two days after the day before my birthday. today is Thursday what day was my birthday
Answer:
Sunday
Step-by-step explanation:
The day before the day before yesterday is Monday.
Two days before Monday is Saturday.
Saturday is the day before Sunday and so their birthday is on Sunday.
The birthday is on Sunday and this can be determined by observing the given data carefully.
Given :
The Day before the day before yesterday was two days after the day before my birthday.Today is Thursday.The following steps can be used in order to determine the day on birthday:
Step 1 - Remember today is Thursday according to the given data.
Step 2 - Now, the Day before the day before yesterday is Monday.
Step 3 - The two days before Monday is Saturday.
Step 4 - And the day of the birthday is after Saturday that is Sunday.
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Helppppppppppp!!!!!!!!!!!!!!
Answer:
-3=-8, -2=-4, 1=8, 3=16, 4=20
Step-by-step explanation:
a triangle has sides measuring 31 in 18in and 25 in what is the perimeter of the triangle
which number forms a pythagorean triple with 8 and 10
Answer:
6
Step-by-step explanation:
6,8, and 10 is the same as 3,4,5. Its just multiplied by 2. Therefore, the missing number in the triple is 6.
simplify (2^5 over 3^2)^4
Answer:
3/5^4
Step-by-step explanation:
(2^5 / 3^2)^4
(32 / 9)^4
= 159.8195
Plot the point, (−3, 5).
Select the point tool. Then, click on the graph to plot the point
Answer:
Step-by-step explanation:
To increase an amount by 43% multiply by?
Answer: 1.43 because you add it to 100 to give you 143 and then divide it by 100 to get 1.43
a case of fruit weighs 53 kilogram and another weighs 47 kilograms how much weight must be removed from the first case and placed in the second is that they both equal
a . 2 kilograms
b . 4 kilograms
c . 6 kilograms
d . 8 kilograms
There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Fruit weight = 53 kilograms
And, Another weight = 47 kilograms
Now,
Let number of kilograms weights to remove and add = x
So, We can formulate;
⇒ 53 - x = 47 + x
Solve for x as;
⇒ 53 - 47 = x + x
⇒ 6 = 2x
⇒ 2x = 6
⇒ x = 3
Thus, There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.
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