Answer:
The length of the banner is 24 inches and its width is 4 inches.
Step-by-step explanation:
Let the length of the banner be L.
Let the width of the banner be W.
The length is 6 times greater than the width. This means that:
L = 6W
The area of the banner is:
A = L * W = 6W * W = [tex]6W^2[/tex]
The are of the banner is 96 square inches. This implies that:
[tex]6W^2[/tex] = 96
=> [tex]W^2[/tex] = 96 / 6 = 16
W = [tex]\sqrt{16}[/tex]
W = 4 inches
The length, L, will be:
L = 6 * 4 = 24 inches
The length of the banner is 24 inches and its width is 4 inches.
The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what is its wavelength?
The wavelength of the light wave is approximately 729.94 meters.
What is the speed of light?The speed of light is regarded as a fundamental natural constant. Its relevance extends well beyond its role in characterizing an electromagnetic wave characteristic.
The speed of light is a constant, and it is equal to the product of the frequency of a light wave and its wavelength.
The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz
So if the frequency of a light wave is given, we can use this formula to calculate its wavelength:
wavelength = speed of light / frequency
Plugging in the values given in the question, we get:
wavelength = 3 x 10⁸ m/s / 4.11 x 10⁴ Hz
wavelength = 3 x 10⁸/ 4.11 x 10⁴
wavelength = 3 / 4.11 x 10⁸/10⁴
Performing the calculation, we find that the wavelength of the light wave is approximately 729.94 meters.
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What is the price of the Ps5 going to be?
Currently we do not know the price of the PS5 but I believe it will be $550
Find the sum of the sequence: 108, 105, 102,...,15
Answer:
1968
Step-by-step explanation:
The given sequence is a finite arithmetic sequence.
Step 1: Determine the number of terms in the sequence
For an arithmetic sequence, the nth term:
A(n)=a+(n-1)d
In the sequence:
First term, a=108Last term, l=15Common difference, d=105-108= -3Therefore, to find which term the number 15 is, we have:
15=108+(n-1)(-3)
15=108-3n+3
15=111-3n
3n=111-15
3n=96
Number of terms in the sequence, n=32
Step 2: Find the sum of the sequence
For an arithmetic sequence with a given first and last term:
[tex]Sum, S(n)=\frac{n}{2}(a+l)\\ =\frac{32}{2}(108+15)\\=16*123\\$Sum of the sequence, S(n)=1968[/tex]
If the cost price of 10 chairs equal to the selling price of 16 chairs. Find the profit or loss percent please.
Answer:
The answer should be 37.5%
Step-by-step explanation:
Which of the following polynomial functions is graphed below?
HELP ASAP!!! Plz!!
Answer: C
Step-by-step explanation:
A P E X
Answer:
C
Step-by-step explanation:
Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.
Answer:
No.
Step-by-step explanation:
If you distribute the 1st equation out, you will be able to see that it is -1.5x - 2.5 while the other equation is -1.5x + 2.5. Since you have to distribute the negative, they are not equivalent.
Answer:
Both expressions are not equal.
Step-by-step explanation:
-0.5(3x+5) = -1.5x - 2.5
–1.5x+2.5 = -1.5x + 2.5
The first expression results in subtracting 2.5, the second expression results in adding 2.5.
brainliest will be given, plz help me
Answer:
200,000 x 0.05 = 10,000
200,000 + 10,000 = 210,000
This will be 2015 (210,000)
210,000 x 0.05 = 10,500
210,000 + 10,500 = 220,500
2016
220,500 x 0.05 = 11250
220,500 + 11,250 = 231,750
231,750 should be the value
Hope this helps
Step-by-step explanation:
Here is a sequence of patterns made from dots.
Find an expression, in terms of n, for the number of dots in Pattern number n.
Answer:
Hello
I think this is the answer: 3n+ n or 4n
And for fourth is 16 and fifth is 20
Step-by-step explanation:
PLSSS HELP WILL BE MARKED BRAINLIEST
Answer:
We need 232 mL of Compound A
Step-by-step explanation:
We know the ratio
A : B : total
4 3 4+3
4 3 7
We want 406
406 /7 =58
Multiply each part by 58
A : B : total
4*58 3*58 7*58
232 174 406
We need 232 mL of Compound A
do prisms need to have rectangular or triangular bases?
Answer: Boths
Step-by-step explanation:
y+y+c-10+x If x=7, y=10 and c=8
Answer:
it is 25
Step-by-step explanation:
FIRSTLY YOU SUBSTITUTE
10+10+8-10+7
=25
Answer:
10 + 10 + 8 - 10 + 7
= 25
Step-by-step explanation:
William just purchased a residential investment property for $225,000. William is 60, married, and will not occupy the property. Will this new property qualify for a homestead exemption?
The following list gives the first 4 values of a sequence that follows a numerical pattern.
1,-4,-9,-14...
Which is most likely the 10th value in the sequence?
A) -36
B) -39
C) -42
D) -44
Sue wants to increase 160 by 4%
She writes down
160 x 1.4 = 224
Sue's method is wrong.
a) Instead of multiplying by 1.4, write down
what she should have multiplied by
Bill wants to decrease 160 by 6%
b) Complete the statement below to show how Bill can decrease 160 by 6%
160 × ___ =___
Answer:
see explanation
Step-by-step explanation:
An increase of 4% = 104% = [tex]\frac{104}{100}[/tex] = 1.04
Sue should have multiplied by 1.04
(b)
A decrease of 6% = 94% = [tex]\frac{94}{100}[/tex] = 0.94 , thus
160 × 0.94 = 150.4
Step-by-step explanation:
NOTE: Increasing x by p% means multiplying x by (1+p%).
4% = 4/100 = 0.04then
increase 160 by 4% means multiply 160 by (1+4%)
in other words:
1+0.04 = 1.04
increase 160 by 4% means 160 by 1.04
160×1.04 = 166.4
160×(1 - 6%) = 160×(1 - 0.06) = 160×0.94 = 150.4What is the value of n ?
Answer:
Your answer would be the letter a
Answer:
Step-by-step explanation:
180 -133 = 47
180-142=38
38+47= 85
180 - 85 = 95
180 - 95= 85
The answer is A
can someone plzz help
Answer:
it's 12 because
2×6=12
3×4=12
4×3=12
and all of them have twelve
Answer:
it's 12 becauseStep-by-step explanation:
2×6=12
3×4=12
4×3=12
all of and them have twelve
Anyone know this ???
Answer:
A because it is super close together
Step-by-step explanation:
Answer:
B. 45°
Step-by-step explanation:
The angles of a triangle have to add up to 180°.
In this triangle C is given as 90°. That leaves 90° for the sum of the two others. Since the triangle is symmetrical, you can divide 90° by 2 to get to equal angles of 45°.
Find the area of the shape
how do i write 7 degrees warmer today than yesterdays temperature t
Eruptions of the Old Faithful geyser have duration times with a mean of 245.0 sec and a standard deviation of 36.4 sec (based on sample data). One eruption had a duration time of 110 sec.
Answer:
Difference between time = -135 sec
Step-by-step explanation:
Given:
Mean eruption = 245 sec
Standard deviation = 36.4 sec
One eruption had a duration time of 110 sec
Find:
Difference between duration time of 110 sec and mean = ?
Computation:
⇒ Difference between time = One eruption duration time - Mean
⇒ Difference between time = 110 sec - 245 sec
⇒ Difference between time = -135 sec
Find the zeroes of the quadratic polynomial 4√3x2+5x -2√3
Two roots of a 3-degree polynomial equation are 5 and -5. Which of the following cannot be the third root of the equation ?
0
-5i
-5
5i
5
Answer:
- 5i and 5i
Step-by-step explanation:
The Fundamental theorem of Algebra states that a polynomial of degree 3 has 3 roots, real and/ or complex.
Complex roots occur in conjugate pairs.
Given 2 real roots x = 5, x = - 5
There cannot be complex roots as they occur in pairs which would result in the polynomial having 4 roots instead of 3.
The volume of a sphere whose diameter is 18 centimeters is _π cubic centimeters
Answer:
12 pi cubic cm
Step-by-step explanation:
Q5
Below is a triangular prism
14cm
12cm
2 cm
Given that the volume of the prism is 1344cm' work out a
cm go
(2 m
Show me the answer
Answer:
30cm^3
Step-by-step explanation:
Triangular Prism Volume Formula:
V = b x h
b = base
h = height
5 x 6 = 30
30cm^3
this is actually a question but shhhhh, just copy it and youll get points....Drag each description to the correct location on the table. Each description can be used more than once.
Classify each polynomial based on its degree and number of terms.
cubiccubicquarticquarticquinticquinticquadraticquadraticlinearlinearmonomialmonomialmonomialbinomialbinomialbinomialtrinomialtrinomial
The answer is what you got
cubiccubicquarticquarticquinticquinticquadraticquadraticlinearlinearmonomialmonomialmonomialbinomialbinomialbinomialtrinomialtrinomial
What is the horizontal asymptote of the graph of f(x) = 4×5^x
options
1.y=0
2.y=20
3.y=4
4.y = 5
Answer:
The horizontal asymptote is y=0
A motorist travelled 300 km
at an average
OF 75 km / h In and returned at an average speed of v km / b . if his average speed for the whole journey is 60km/h, find v?
Answer:
Step-by-step explanation:
Total distance /total time=total speed
600÷60=10hrs
300÷75=4hrs
I0-4=6
V=300÷6=50km/h
an ostrich is 255 cm.Suppose that you want to make a scale drawing of an ostrich. The scale is 30:1. What height will you make the ostrich in your drawing
Answer:
The height of the drawing should be: 8.5 cm
Step-by-step explanation:
Use the proportion given by the scale in order to find the height "h" that you need to draw:
[tex]\frac{30}{1} =\frac{255}{h} \\30=\frac{255}{h}\\30\,h=255\\h=\frac{255}{30}\\ h=8.5\,\,cm[/tex]
If k(x) = 5x-6, which expression is equivalent to (k+k) (4)?
Answer:
5(4) - 6 + 5(4) - 6
Step-by-step explanation:
k(x) = 5x - 6
(k+k)(x) = 5x - 6 + 5x - 6
(k+k)(4) = 5(4) - 6 + 5(4) - 6
=> Option D is correct
Hope this helps!
The expression is equivalent to (k+k) (4) will be 5(4) - 6 + 5(4) - 6. The correct option is B.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The expression will be solved as below:-
k(x) = 5x - 6
(k+k)(x) = 5x - 6 + 5x - 6
(k+k)(4) = 5(4) - 6 + 5(4) - 6
Therefore, the expression is equivalent to (k+k) (4) will be 5(4) - 6 + 5(4) - 6. The correct option is B.
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Please help!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
[tex]12x\sqrt{900x^2y^4z^6}= \\\\12x\sqrt{30^2x^2(y^2)^2(z^3)^2}= \\\\12x(30xy^2z^3)= \\\\360x^2y^2z^3[/tex]
Therefore, the correct answer is choice C. Hope this helps!!