The domain for the rational expression as given in the task content is; All real numbers except -5.
Domain of Rational functionsThe domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.
On this note, the expression is undefined when, 3x + 15 = 0.
Hence, the domain is All real numbers except -5.
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Hassan build a fence around a square yard it took 48 m² of lumber to build a fence the fence is 1.5 m tall what is the area of the yard inside the fence
Find the area of the parallelogram 9.9in 5.5in
Answer:
54.45 in²
Step-by-step explanation:Let the base and height be 9.9 inches and 5.5 inches respectively.
Formula;
Area of parallelogram = Base × Height
Substitute the base and the height in the formula:
⇒ Area of parallelogram = Base × Height⇒ Area of parallelogram = 9.9 × 5.5Evaluate the area of the parallelogram:
⇒ Area of parallelogram = 9.9 in × 5.5 in⇒ Area of parallelogram = 54.45 in²Answer:
54.45 in²
Step-by-step explanation:
Formula
Area of a parallelogram = base × height
If you turn the parallelogram so that the sides that measure 9.9in are the base, you will see that 5.5in is the height (refer to the attached diagram). Therefore, we can use the formula with these values to calculate the area.
Given:
base = 9.9 inheight - 5.5 in⇒ area = 9.9 × 5.5 = 54.45 in²
What is the value of x?
Answer:
x=20
Step-by-step explanation:
These vertically opposite angles are equal
3x+50=6x-10
50+10=6x-3x
3x=60
x=20
Step-by-step explanation:
3x+50=6x-10(vertically opp angles)
3x-6x=-10-50
-3x=-60
Divide both side by - 3
X=20
Mr. Ketchum collets Pokémon cards. He purchases a rare charizard Pokémon card for $525. Research shows this card value will increase by 3.5% each year. Write an equation that determines the value,v,of the card t years after purchase
Answer:
18.37500
Step-by-step explanation:
Here You Go! Hope It Helps Bud
anyone? giving brainliest
what is the 41st term of 8,17,26
Answer:
368Step-by-step explanation:
We can see that 9 is being added to each term.
Thus, we obtain the following rule:
8 + 9(x - 1)To make this easier, let's simplify the rule.
⇒ 8 + 9(x - 1)⇒ 8 + 9x - 9⇒ 9(x) - 1Substitute 41 as "x" to obtain the 41st term:
⇒ 9(41) - 1⇒ 368The value of 41st term of sequence 8, 17, 26 is,
⇒ 368
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
⇒ 8, 17, 26.
Now, The common difference is,
⇒ d = 17 - 8 = 9
⇒ d = 26 - 17 = 9
Thus, The sequence is in arithmetic.
Hence, The value of 41st term of sequence 8, 17, 26 is,
⇒ a + (n - 1)d
⇒ 8 + (41 - 1) 9
⇒ 8 + 369 - 9
⇒ 8 + 360
⇒ 368
Thus, The value of 41st term of sequence 8, 17, 26 is,
⇒ 368
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A student’s height was 61 inches at the beginning of the year. At the end of the year it was 64 inches. What was his percent increase? Round to the nearest tenth of a percent.
Answer:
4.9% increase
Step-by-step explanation:
Starts at 61 inches
Ends at 64 inches
64 - 61 = 3 inches increase
percent of 3 to 61
3 / 61
≈ 0.49
= 4.9%
Which type of function best models the data in the
table?
Sound Waves
Wavelength, *
© linear
exponential
o quadratic
inverse variation
Frequenc
(waves
680
0.5
1
340
227
15
DONE
2
170
25
136
Answer:
inverse variation
Step-by-step explanation:
What is the surface area of the square pyramid? 30 m 18 m ות 36
Answer:
the answer is 5100 im pretty sure.
Step-by-step explanation:
yes
find the value of each variable in the given parallelogram
Answer:
x=16, y=26, z=13
Step-by-step explanation:
opposite angles are congruent so (3x+30)=(4x+14)
Solve for x
x=16
adjacent sides are supplementary so insert x in both equations just to make sure it is correct and you get 78
so 3y=78 and 6z=78
solve for y and z
y=26, z=13
9-18.
Thui wrote the following inequalities for a problem that she was solving: 2n-1<5 or 2n-1 > -5. Which of the following statements is
true? Homework Help
a. n >-3 or n <3
b. n 2-2 or n <3
C. > -3 or n <3
d. n > -2 or n <3
Answer:
D is the correct answer
Step-by-step explanation:
2n-1<5= n<3
2n-1>-5= n>-2
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
Answer correctly you get brainliest.
Answer:
Step-by-step explanation:
44/8
= 5 whole 4 by 8
= 5 4/8
Answer:
5/2 = 2.5
Step-by-step explanation:
what digit 7 sits in this number 714,583
Answer:
The hundred thousands place
Step-by-step explanation:
Answer:
The hundred thoudsands place; (700,000)
Step-by-step explanation:
The places of the number are listed below:
Hundred Thousands - 700,000
Ten Thousands - 10000
Thousands - 4000
Hundreds - 500
Tens - 80
Ones - 3
The digit 7 is in the hundred thoudsands place.
hope this helps!
find the values of the expression below when x = -4 and y= 2 -3x^2y+ 4x
Answer:
20720
Step-by-step explanation:
-3x^2y +4x
-3(-4)^2*2 + 4(-4)
= 12^4 -16
20736 - 16
= 20720
I hope this helped!
Answer:
When x = -4 and y = 2, -3x^(2y) + 4x is -784.
Step-by-step explanation:
-3x^(2y) + 4x
Substitute given variables.
-3(-4)^(2(2)) + 4(-4)
Multiply 2 and 2.
-3(-4)^4 + 4(-4)
Multiply -3 and -4.
Raise -4 to the 4th power.
-3(256) + 4(-4)
Multiply -3 and 256.
-768 + 4(-4)
Multiply 4 and -4
-768 + (-16)
Add -768 and -16.
-784
can i have some help? subject is stretching and reflecting quadratic functions
Answer:
(5,5)
(-3,-15)
(6,-12)
(-2,8)
Step-by-step explanation:
Multiply the value of "a" with the coordinates.
#1
(1,1) and a=5y=ax²
y=5(1)²y=5Coordinates (1,5)
#2
(5,25) and a=-0.6So
y=-0.6(5)²y=-0.6(25)y=-15Coordinates (5,-15)
#3
(-2,4) and a=-3So
y=-3(-2)²y=-3(4)y=-12Coordinates (-2,-12)
#4
(-4,16) and a=1/2So
y=1/2(-4)²y=16/2y=8Coordinates (-4,8)
pls help me rn pleaseeeeeeeeeeeeeeee
The table below gives the height h=f(t) in feet of a weight on a spring where t is time in seconds.
t (sec) 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
h (feet) 4.8 6.6 7.6 7.8 7.6 6.6 4.8 3 2 1.8 2 3 4.8 6.6 7.6 7.8
what is the period
Using it's concept, it is found that the period of the function is of 20 seconds.
What is the period of a function?The period of a function is given by the distance between it's repetitions.
In this problem, the function starts at 0s, with 4.8 ft, then in intervals of 2s, the heights are of 6.6 ft, 7.6 ft, 7.8 ft and so on. The same pattern starts again after 20 seconds.
Hence, the period of the function is of 20 seconds.
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Which algebraic rule describes the translation of ΔDEF to ΔD'E'F'?
we subtracted 4 from the x value
we subtracted 7 from the y value
Answer:
(x,y) => (x-4,y-7)
answer the question below. Type your response in the space provided What is the height of the cylinder in the diagram? Round your answer to the nearest whole V = 904.78 cm³ 6cm
Answer:
For this question, we use the formula for the volume of a cylinder.
(formula for vol. of cylinder)
V = π[tex]r^{2}[/tex]h
Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and 'h' stands for the height.
We utilize the information that we know:
Radius = 6cmVolume = 904.78Which we then plug into our equation(volume of cylinder formula):
V = π[tex]r^{2}[/tex]h
904.78 = 3.14(6^2) · h
Next solve for the h(height).
904.78 = 3.14(36) · h
904.78 = 113.04 · h
904.78 = 113.04h
/113.04 /113.04
8.00406935598 = h, which we round to 8.
8 centimetres is the height of this cylinder.
HELP!! ASAPP!! (NO LINKS) WILL MARK BRAINLIEST
Identify the trinomial that is NOT a perfect square.
A. 121x^2 + 100x + 25
B. 100x^2 + 60x + 9
C. 25x^2 + 70x + 49
D. 64x^2 + 48x + 9
ANSWER: C. 25x^2 + 70x + 49
Hope for help po
- Classify the quadrilateral in as many ways as possible.
.
rombus Rectangle sqare
Step-by-step explanation:
all have 4 Sides
Pls helpppp thankssss
Answer:
D
Step-by-step explanation:
y=5x-2 since the formula is. y=mx+c
$300 today is worth MORE than $300 tomorrow.
False or true?
false if the prices increase tomorrow or true if the prices decrease.
so basically it's always uphill so false
hope it helps...!!!
ANSWER:
false
EXPLANATION:
investigue sobre 6sistemas diferentes
Answer:
this is broken english
Step-by-step explanation:
ok ok
4. Find the surface area of the triangular prism:
5 ft
5 ft
3 ft
14 ft
8 ft
Shows work please
Answer:
276 ft²
Step-by-step explanation:
The total surface area of a prism is the sum of its lateral area and the area of its bases. Here, the bases are two triangles, and the area of the sides is that of three rectangles.
base areaThe area of a triangle is given by the formula ...
A = 1/2bh . . . . where b is the base of the triangle, h is its height
We have two identical triangles, so their total area will be ...
A = 2(1/2bh) = bh = (8 ft)(3 ft) = 24 ft²
lateral areaThe sides of the prism are rectangles, all with the same length: 14 ft. Their total area will be that length multiplied by the total of the rectangle widths. That total is the same as the perimeter of the triangular base:
P = 5 ft + 5 ft + 8 ft = 18 ft
Then the lateral area is ...
lateral area = Ph = (18 ft)(14 ft) = 252 ft²
total areaThe sum of the base area and lateral area is ...
(24 ft²) +(252 ft²) = 276 ft² . . . . area of the triangular prism
PLEASE HELP PLEASE HELP PLEASE
Answer:
D
Step-by-step explanation:
Well, the right edge is 1 line away from 6 so it is 5 15/16 inches.
There are 16 lines for each 1 line. so it is 5 inches and 15 lines out of 16
Box A contains only 20-cent coins and Box B contains only 50-cent coins. The number of coins in Box A is twice the number of coins in Box B. The amount of money in Box B is $1.60 more than the amount of money in Box A. How many 20-cent coins are there in Box A?
Answer:
There should be 16, 20 cent coins in the box
Step-by-step explanation:
First we have to do 1.60 x 2 which equals 3.2
Then we divided by 0.20 because the equals the 20 cent coins
We get 16
We can check our work by 0.20 x 16 and that gives us 3.2
I hope this helps!
If two cars hit head on at 50 mph what is the force of the impact?
Answer:
100mph
Step-by-step explanation:
What is the value of x in the triangle?
45°
4
х
45°
OA. 4
B. 2
OC. 412
OD. 212
Answer:
D
Step-by-step explanation:
use the sine or cosine ratio in the right triangle.
using the sine ratio and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 2[tex]\sqrt{2}[/tex]
The value of x is 2√2.
Hence the correct option is D.
Given that a right triangle with acute angles 45° each, and hypotenuse is 4 units,
we need to find the length of the perpendicular,
In a right triangle, the length of the perpendicular (also known as the altitude) can be found using trigonometric ratios.
In this case, since we have an angle of 45°, we can use the sine or cosine function.
Let's use the sine function to find the length of the perpendicular:
sin(45°) = opposite / hypotenuse
sin(45°) = perpendicular / 4
1/√2 = perpendicular / 4
perpendicular = 4/√2
perpendicular = 2√2
Hence the value of x is 2√2.
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I am having trouble with this problem
Answer:
b=330.90 and c=314.97
Step-by-step explanation:
b=245×sin71.2/sin44.5. c=245×sin64.3/sin44.5. you get the 64.3 by subtracting 180_(71.2+44.5)