Answer:
nice question...
so here we go
3^ -x = 1 / 3^x
so 1/ 3^x = 2 so 3^x = 1/2
we can write 3^2x as 3^x multiplied by 3^x right?..(law of exponents)
recall that 3^x =1/2
so now according to question we have to find the value of 3^2x = 1/2 * 1/2 = 1/4
Step-by-step explanation:
The given expression is an application of an exponential equation. The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]
Given that [tex]3^{-x}=2[/tex]
This can also be expressed as [tex]\frac{1}{3^x} =2\\[/tex]
Cross multiply
[tex]\frac{1}{3^x} =2\\3^x = \frac{1}{2}[/tex]
Take the square root of both sides
[tex](3^x)^2 = (\frac{1}{2} )^2\\3^{2x} = \frac{1}{4}[/tex]
The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]
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An ice cream company sells their product in a cylindrical container that is 16 cm tall and has a diameter of
14 cm. They are considering switching to a new container that is a rectangular prism whose base is
20 x 13 cm
The company wants the new container to have the same volume as the old container,
How tall should the new container be?
Round to the nearest tenth.
cm
Answer:
9.5
Step-by-step explanation:
The height of the rectangular container will be 9.47 cm.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or Cuboid. For cylinders, we need the radius and the height of the cylinder.
Given that an ice cream company sells their product in a cylindrical container that is 16 cm tall and has a diameter of 14 cm. They are considering switching to a new container that is a rectangular prism whose base is 20 x 13 cm.
The height of the rectangular prism will be calculated as:-
( π / 4 ) X D² X H = L x W x H
( π / 4 ) X 14² X 16 =20 X 13 x H
H = [( π / 4 ) X 14² X 16] / ( 20 x 13)
H = 9.47 cm
Therefore, the height of the rectangular container will be 9.47 cm.
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A gas station that fills portable propane tanks (such as are used for camping and for outdoor barbecues) charges $2.50 per gallon.
what is the question? you just said how much they charge.
In parallelogram STUV, find the m∠TUV.
Answer: Angle TUV = 57 degrees
Explanation:
The diagram shows Angle TSV = 57 degrees.
Opposite angles of any parallelogram are always congruent, so angle TUV is equal to angle TSV. This makes angle TSV to be 57 degrees. The other values are not needed.
Bottles of sparkling water usually cost $1.69 each. This week they are on sale for 4 for $5 You bought one last week and one this week. Did you pay more or less for the bottle this week?
Given:
Usual cost of a bottle of sparkling water = $1.69 each
This week they are on sale for 4 for $5.
To find:
Did you pay more or less for the bottle this week?
Solution:
We have,
Usual cost of 1 bottle = $1.69
On sale, cost of 4 bottles = $5
On sale, cost of 1 bottles = [tex]\dfrac{\$5}{4}[/tex]
= $1.25
Since, $1.25 is less than $1.69, therefore the unit cost on sale is less than usual unit cost.
Hence, you pay less for the bottle this week.
You buy two packages of almonds and mix them together into one bowl.
One package is 8.24 kg and the other is 6.62 kg. How Much Is the bowl?
Answer:
whenever you do zoom, tell me
Step-by-step explanation:
associative property 8×30
Answer:
I think you mean commutative property. 30 * 8
Step-by-step explanation:
This does not have parentheses around anything. To solve with commutative property switch the digits.
Write the simplest polynomial function for each set of zeros
Zeros = -1, 0, 4
Answer:
x^3-5x^2+4x
Step-by-step explanation:
(x+(-1))(x-0)(x-4)
(x-1)(x)(x-4)
x(x-1)(x-4)
(x^2-x)(x-4)
x^3-x^2-4x^2+4x
x^3-5x^2+4x
Isabella's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson left after x days?
Will mark brainliest if correct
Answer:
y = 30 - 2x
Step-by-step explanation:
She must complete 30 hours, so we start at 30 hours.
Each day, she has 2 less to do after she does her service hours.
So if x = # of days, then that is -2x
Put that together,
y = 30 - 2x
please hit the heart button and crown brainliest :)
2x+20=3x-10 solve for x
Answer:
x=30
Step-by-step explanation:
Use the picture below to answer questions 13a and 13b.
13a) What is the measure, in degrees, of angle 1? Explain how you determined the measure of angle 1.
13b) What is the measure, in degrees, of angle 2? Explain how you determined the measure of angle 2
Answer:
13a: Measure of angle 1 is 120 degrees
13b: Angle 2 is 60 degrees
Step-by-step explanation:
Angle 1 is alternate exterior (so in a parallel pair they are equal) to the angle on line m given as 120 deg.
Angle 2 is 180 minus 120= 60 Sum of the two angles must equal 180.
Solve for X:
Need help ASAP
Answer:
x = 20°
Step-by-step explanation:
So basically, since the 2 values are on the opposite side of an "x," you just set the 2 values each to each other and solve for x.
6x - 20 = 100
+20 +20
6x = 120
÷6 ÷6
x = 20
* The nth term of sequence A is 3n − 2 The nth term of sequence B is 10 − 2n Sally says there is only one number that is in both sequence A and sequence B. Is Sally right? You must explain your answer.
Answer:
Sally is not right
Step-by-step explanation:
Given the two sequences which have their respective [tex]n^{th}[/tex] terms as following:
Sequence A. [tex]3n - 2[/tex]
Sequence B. [tex]10 - 2n[/tex]
As per Sally, there exists only one number which is in both the sequences.
To find:
Whether Sally is correct or not.
Solution:
For Sally to be correct, we need to put the [tex]n^{th}[/tex] terms of the respective sequences as equal and let us verify that.
[tex]3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}[/tex]
When we talk about [tex]n^{th}[/tex] terms, [tex]n[/tex] here is a whole number not a fractional number.
But as per the statement as stated by Sally [tex]n[/tex] is a fractional number, only then the two sequences can have a number which is in the both sequences.
Therefore, no number can be in both the sequences A and B.
Hence, Sally is not right.
write a problem that represents "7+-7"
Answer:
The fish jumped 7 inches from the sea then fell 7 inches down.
Step-by-step explanation:
Answer:
7-7
Step-by-step explanation:
7 adding a negative number means it is subtracting because you are taking away from the 7.
Danny is 5 years old and weighs 46 pounds. He is sitting on a swing when his sister Stacey pulls him and the swing back horizontally through an angle of = 45.0° and then holds him at static equilibrium. Find the magnitudes of both H and T.
Answer:
H = 46 lbs
T = 65.05 lbs
Step-by-step explanation:
From the given information:
The information shows a right triangle and the solution comes from the bottom leg H and the top T.
So, using the tangent of the trigonometric function;
tan θ = H/46 lbs
tan (45.0°) = H /46 lbs
1 = H /46 lbs
H = 46 lbs
From the top T
T cos θ = W
T cos 45.0° = 46 lbs
T = 46 lbs/cos 45.0°
T = 46 lbs / 0.7071
T = 65.05 lbs
Rodrigo planted flowers in a section of a circular garden as shown. Calculate the closest area of this sector of the garden to the nearest whole number.
Answer:
[tex]A = 118ft^2[/tex]
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have:
[tex]\theta = 80[/tex]
[tex]r = 13ft[/tex] -- Radius
Required
Determine the area of the sector
Area (A) of a sector is calculated as:
[tex]A = \frac{\theta}{360} * \pi r^2[/tex]
Substitute values for r and [tex]\theta[/tex]
[tex]A = \frac{80}{360} * \pi 13^2[/tex]
[tex]A = \frac{80}{360} * \pi *169[/tex]
[tex]A = \frac{80*169}{360} * \pi[/tex]
[tex]A = \frac{13520}{360} * \pi[/tex]
Take [tex]\pi[/tex] as [tex]\frac{22}{7}[/tex]
[tex]A = \frac{13520}{360} * \frac{22}{7}[/tex]
[tex]A = \frac{13520 * 22}{360 * 7}[/tex]
[tex]A = \frac{297440}{2520}[/tex]
[tex]A = 118ft^2[/tex]-- approximated
ILL GIVE BRAINLIEST ON THIS QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
15.25 or 15 if you need it to be rounded.
Step-by-step explanation:
-11 on both sides to get 5x=1x+61. Then, -1x on both sides to get 4x=61. Then to find x you do 61 divided by 4 which is 15.25.
(20p) Write the equation that represents a circle with center (−10, −6) and radius 9 units.
Answer:
The equation of a circle is:
(x−x0)2+(y−y0)2=R2
where x0 and y0 are the center of the circle (x0,y0) and R is the radius of the circle.
Step-by-step explanation:
Step-by-step explanation:
The equation of the circle is (x + 10)² + (y + 6)² = 81.
What fraction of a whole turn is 45°? *
Answer:
the fraction is answer
Step-by-step explanation:
Hi! I need help on #25 ASAP. Thank you so much!!!
Answer: Hello! I believe the answer is 25/4. I'm so sorry if this is incorrect!
6 • (4 + 5) = 6 • 4 + 6 • 5 a. Associative Property of Addition c. Distributive Property b. Commutative Property of Addition d. Identity Property of Addition
Answer:
c
Step-by-step explanation:
how many of the equations listed below represent the line passing through the points (2,3) and (4,-7)
Answer: 3 equations
Step-by-step explanation:
The 4th one doesn’t work for both pairs.
1st : 3 - 7 = -4 | 5 x 2 = 10 5 x 4 = 20
10 - 20 = -10.
-4 does not equal -10
2nd equation : -7 - 7 = -14
5 x 4 = 20| 5 x 4 = 20 20 - 20 = 0
-14 does not equal 0
The only one equation that represents the line passing through both points is y = -x + 5. which is the correct answer that would be an option (D).
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
To determine the number of the given equations representing the line passing through the points (2,3) and (4,-7), you can substitute the coordinates of these points into the equations and see if they are satisfied.
If an equation is satisfied by both points, then the line described by that equation passes through both points.
Here are the given equations:
A. y = 3x + 5
B. y = -7x + 1
C. y = x + 1
D. y = -x + 5
E. y = -1/3x + 1
Substituting the coordinates of the point (2,3) into each of these equations, we find that equations A, C, and D are satisfied by this point.
Substituting the coordinates of the point (4,-7) into each of these equations, we find that equations B and D are satisfied by this point.
Therefore, the only one equation that represents the line passing through both points is D. Thus, the answer is 1.
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The question seems to be incomplete the correct question would be
how many of the equations listed below represent the line passing through both points (2,3) and (4,-7).
A. y = 3x + 5
B. y = -7x + 1
C. y = x + 1
D. y = -x + 5
E. y = -1/3x + 1
The chagram shows a regular octagon joined to an equilateral triangle
NOT TO
SCALL
Work out the value of
Answer:
x = 165°
Step-by-step explanation:
x° = 360 - (the measure of one interior angle of the octagon + the measure of one interior angle of the equilateral ∆)
Each interior angle of a regular octagon = 135° ([tex] \frac{(n - 2)180}{n} = 135°)
An equilateral ∆ has equal angles, each measuring 60°.
Therefore:
x° = 360° - (135° + 60°)
x = 360 - 195
x = 165°
Answer:
165°
Step-by-step explanation:
Tina wants to save $100. She saves $0.01 on day 1, $0.02 on day 2, and $0.04 on day 3. If the amount of money that Tina saves each day continues to follow this pattern, on what day will she first have saved a total of $100.00 or more?
Answer: Day 14
Step-by-step explanation: 2^14 = 16384 cents, which equals $163.84
8x − 4y = −16
3x + 15y = −6
Answer:
good job that is correct
Step-by-step explanation:
goooooooooooooooooooooooood joooooooooooooooob
yep
which equation represents a line that is parallel to the line whose equation is 2x + 3y = 12
Answer it guys pls idk how... you can also show the steps. For those who answer it all correctly I will give the brainliest answer
Answer:
8,48
3,87
7,34
11,66
15,81
2,25
9,21
6,16
10,04
26,45
43,57
12,84
4,69
5,56
7,68
9,32
3,60
10,33
10,14
3 subtracted from 9 times 2 and 5 is added
20
Step-by-step explanation:
Step-by-step explanation:
it is 20
9×2-3+5= 20
there the correct answer this time
what is
f(x)=2x+3
if x=10
Answer:
23
Step-by-step explanation:
2(10)+3
20+3
(10,23)
Please mark brainliest :)
Answer:
X=23 sorry if I’m wrong
Step-by-step explanation:
Can y'all please solve this.....will give brainliest ^_^
x=6,004/5.019=1.196
x=1.2
y=3.999/9.241=0.432=0.43
Answer:
1.20.43Step-by-step explanation:
[tex]x = \frac{\sqrt{36.05} }{5.019} \\ \\\sqrt{36.05}=6.00416\dots \\\\=\frac{6.00416\dots }{5.019}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{6.00416\dots }{5.019}=1.19628\dots \\\\=1.19628\dots \\\\= 1.2[/tex]
[tex]y = \frac{\sqrt[3]{63.71}}{(3.04)^2} \\\\3.04^2=9.2416\\\\=\frac{\sqrt[3]{63.71}}{9.2416}\\\\\sqrt[3]{63.71}=3.99394\dots \\\\=\frac{3.99394\dots }{9.2416}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{3.99394\dots }{9.2416}\\=0.43217\dots \\\\= 0.43[/tex]