[tex]c. \: \frac{1}{b^{3} } [/tex]
Factor 81 x 14 −16 y 8
Answer:
[tex](9x^7-4y^4)^2[/tex]
Step-by-step explanation:
This is a difference of squares, so we are able to square root each of them and that is our factor
A customer wants you to enlarge a photo to 2 /34 its current height. The photo’s current height is 3 1/4 inches. What should its enlarged height be, in inches?
Answer:
8 15/16 inches
Step-by-step explanation:
just multiply 2 3/4 by 3 1/4
Answer:
8.94 inches or [tex] 8\frac { 1 5 } { 1 6 } [/tex] inches
Step-by-step explanation:
We know that the current height of the photo is [tex]3\frac{1}{4}[/tex] inches and the customer wants it to be enlarged by a factor of [tex]2\frac{3}{4}[/tex] its current height.
[tex] 3\frac { 1 } { 4 } = 3.25 [/tex]
[tex] 2 \frac { 3 } { 4 } = 2.75 [/tex]
To find the enlarged height, we will multiply the scale factor with the photo's current height.
Enlarged height = [tex]3.25 \times 2.75 = 8.94 inches or [tex] 8\frac { 1 5 } { 1 6 } [/tex] inches
Sam bought a shirt for $30. He paid an additional 8% sales tax. What is the total amount Sam paid for the shirt?
Answer:
38
Step-by-step explanation:
because he bought a shirt for $30+he paid an additional sales tax that is 8
so 30+8=38
Answer:
$32.40
Step-by-step explanation:
$30.00 * 0.08 = $2.40
$30.00 + $2.40 = $32.40
i hope this helps !!
I need help on how to solve this question. I’ve researched how to do inequality’s and still Stuck.
Answer:
J
Step-by-step explanation:
The amount he is spending PER DAY is always a variable multiplied by its rate. That will be 8d.
Then you have a MAXIMUM amount of 3,000. That means the amount has to be less than or even equal to 3,000 but no more.
So 8d ≤ 3000 would be the answer
I believe the answer would be J. whenever the open part of the sign is towards a number or value, that means it is greater than the other number on the other side. For example 5 is less than 6 so 5 < 6. whenever the sign in between and has a line underneath it, it means it can also be equal to the number. therefore d is the amount per day and you pay that much for 8 days, so you get 8d. Now we know you can spend $3000, but no more. so you would use this sign < with a line drawn underneath it. now you would have 8d <(with a line underneath) 3000. this means that I'd must be equal to $3000 or less than $3000.
its kind of a difficult concept to learn but once you get it, it is very simple.
look at the picture and plzz help me
Answer:
a
Step-by-step explanation:
Answer: Option A.
Step-by-step explanation:
Let's analize each option:
Option A: Observe in the graph of g(x) that when x increases the value of y decreases. For example, when [tex]x=0,y=2[/tex] and when [tex]x=2,y=1[/tex] However in the table of f(x) you can observe that the value of y increases when the value of x increases. For example, when [tex]x=-1,y=1.5[/tex] and when [tex]x=0,y=2[/tex]
Therefore, this statement is correct.
Option B: False. Because the y-intercept of functions are equal:
[tex]x=0,y=2[/tex]
Option C: False. You can observe in the graph that the function g(x) does not have x-intercept.
Option D: False. The average rate of change of the function f(x) is:
[tex]m=\frac{5-2}{2-0}=1.5[/tex]
The average rate of change of the function g(x) is:
[tex]m=\frac{1-2}{2-0}=-0.5[/tex]
what is the tangent to the circle
Answer:
PQ
Step-by-step explanation:
TANGENT ALWAYS TOUCH TO THE CIRCUMFERENCE OF CIRCLE
Can I have help on this please
Angles C and D are supplementary, meaning they add up to 180 degrees. So, if we add 8u-48 to 5u+46, we get 13u-2. We set that equal to 180, so 13u-2=180. Add the two, so 13u=182. Divide the 13, so u=14. To double check, plug in 14 to both expressions. 8(14)-48 and 5(14)+46. 8(14)-48 is 64. 5(14)+46 is 116. If you add 64+116, you get 180, which proves your answer right! So u= 14
Plz help me with this
Answer: C) log₄ 84
Step-by-step explanation:
The rule for condensing (combining) log expressions that are added is MULTIPLICATION
log₄12 + log₄7 = log₄(12 × 7) = log₄ 84
What is the solution to the equation 1/6x =2
My answer is x=12
Answer:
Your answer is correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
The way it is written is a bit ambiguous. If you mean
(1/6)*x = 2 then your answer is correct. Multiply both left and right by 6
6*(1/6)*x = 6*2
x = 12
If however, the question meant
1/(6x) = 2 then that is a different question.
Multiply both sides by 6x
1/(6x) * 6x = 2 * 6x
1 = 12*x
Divide by 12
x = 1/12
Change to a decimal
x = 0.08333333
Everything depends on how it is written. Try both if you can.
A dose of medicine is made by diluting one part of concentrate to 5 parts of water. How much of the concentrate should there be in a 90ml dose of medicine?
Answer:
15 ml
Step-by-step explanation:
If we mix 1 part concentrate and 5 parts water, we have 6 parts in total.
To create 90ml medicine, how many "6 parts" are there?
There would be 90/6 = 15 total "6 parts".
Each of the "6 parts's" 1 part is concentrate, so concentrate would be 1 * 15 = 15 ml.
In ratio:
[tex]\frac{Concentrate}{Total(Water+Concentrate)}=\frac{1}{5+1}=\frac{1}{6}\\\frac{1}{6}*90=15[/tex]
In a 90ml dose of medicine that requires a 1:5 ratio of concentrate to water, 15ml of concentrate is needed. This calculation uses the method of dilution, a common means of preparing solutions.
Explanation:The question asks about the quantity of concentrate needed for a 90ml dose of medicine, given that one part of concentrate is diluted with 5 parts of water. This represents a ratio of 1:5, so for every 6 parts of the total mixture, 1 part is the concentrate.
To calculate this, we need to divide the total volume by the overall ratio (which is 6 in this case: the sum of the ratios 1:5). So take 90 ml and divide by 6, which gives 15 ml. This means there should be 15ml of the concentrate in a 90ml dose of medicine.
Dilution is a common means of preparing medicines and other solutions of a desired concentration by adding a solvent (like water in this example) to a more concentrated stock solution (the concentrate in this case).
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if log3 8 ≈1.8928, evaluate log3 72
Answer:
≈ 3.8928
Step-by-step explanation:
log base 3 of 72 is approximately 3.8928
you would need to plug this into a calculator to solve
To evaluate log3 72, given that log3 8 is approximately 1.8928, we use properties of logarithms. We can express 72 as 8×9, and since log3 9 equals 2, log3 72 is 1.8928 + 2, which is 3.8928.
Explanation:The student is asking to evaluate log3 72 given that log3 8 ≈1.8928. We can use the properties of logarithms to solve this. Since 72 can be expressed as 8×9, and we know that log3 8, we can find the log3 9 by understanding that 9 is 3²and therefore log3 9 is 2, because the base and the argument are the same.
Now, using the property of logarithms that loga (xy) = loga x + loga y, we can write log3 72 as:
log3 (8 ∙9) = log3 8 + log3 9
log3 72 = 1.8928 + 2
log3 72 = 3.8928
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You and two friends (Adam and Alana) will only play a game if it is fair for all three of you. The game your friend has proposed is to roll two number cubes (numbered 1-6) and find the sum. If the sum is from 1-4 you get the point, 5-8 Adam gets the point, and 9-12 Alana gets the point.
Is this game fair for all three of you?
Who has the best advantage?
The game fair is no, the game is not fair for everybody. Adam has the best advantage.
We have given that,
You and two friends (Adam and Alana) will only play a game if it is fair for all three of you.
What is the meaning?Fair game definition, a legitimate or likely object of attack, mockery, etc. With his fat, round face, the politician was fair game for the cartoonists.
The game your friend has proposed is to roll two number cubes (numbered 1-6) and find the sum.
If the sum is from 1-4 you get the point, 5-8 Adam gets the point, and 9-12 Alana gets the point.
You can't get a sum of 1. And there are the most amount of sums of 5-8.
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What is the value of tan A?
A. 6/8
B. 8/10
C. 6/10
D. 8/6
Answer: A) 6/8
==================================================
Explanation:
The tangent of angle A is the ratio of the opposite and adjacent sides. So you just form a fraction of the opposite side (6) and the adjacent side (8)
The opposite side is the leg furthest from the reference angle A. The adjacent side is the leg closest to the angle A. Normally you would reduce the fraction as much as possible, but your teacher has chosen not to do so in this case.
ANSWER
A. 6/8
EXPLANATION
The tangent ratio is the ratio of the opposite side of the right triangle over the adjacent side of the right triangle.
The side opposite to angle A is 6cm
The side adjacent to angle A is 8cm.
[tex] \tan(A) = \frac{6cm}{8cm} [/tex]
[tex]\tan(A) = \frac{6}{8} [/tex]
The first choice is correct.
Jing bought 17 bags of beans. There are b beans in each bag. Write an expression that shows how many beans Jing bought.
Answer:
Beans Jing bought=17b
Step-by-step explanation:
You multiply 17 by the m=number of beans per bag, this makes the equation 17b.
Answer: 17 ÷ b = x
Step-by-step explanation:
Jing bought 17 bags, and there are b in each bag. So you should divide 17 by b and then 17 ÷ b = x.
Arc QVT measures 156. Which statement must be true?
Answer:
A.) QRT and QST both measure 78 degrees
Step-by-step explanation:
I used process of elimination for this they had to be the same and the both aren't obtuse
Answer:
∠QRT and ∠QST both angles have measure 78°
Step-by-step explanation:
Given the figure in which measure of arc QVT is 156°
we have to choose the correct statement.
As given arc QVT=156° i.e ∠QPT=156°
By theorem angle made by same arc i.e inscribed angle formed by same arc are equal.
⇒ ∠QRT=∠QST
Also another theorem angle subtended at the centre is twice the angle at the circumference
⇒ ∠QPT=2∠QRT=2∠QST
[tex]2\angle QRT=\angle QPT=156^{\circ}[/tex]
[tex]\angle QRT=\frac{156}{2}=78^{\circ}[/tex]
⇒ ∠QRT and ∠QST both angles have measure 78°
Hence, option 1 is correct.
If a probability distribution is 5/12, 1/6, 1/3, x, what is the value of x
The probabilities of all possible outcomes in a distribution must sum to 1.
[tex]\dfrac5{12}+\dfrac16+\dfrac13+x=1\implies x=\dfrac1{12}[/tex]
Answer:
1/12 C
Step-by-step explanation:
5/12
1/6=2/12
1/3=4/12
5/12-3=2/12
2/12+2=4/12
4/12-3= 1/12
How many solutions does the equation -3a +3a +6 =7 have?
A. One
B. Two
C. Infinitely many
D. None
10 points for answer.
D. None, since -3a+3a is 0, leaving 6=7, which is not true.
The Japanese 5 yen coin has a hole in the middle. If the diameter of the coin is 22 mm and the diameter of the hole is 5 mm, how would you calculate in terms of how much longer the outer edge is than the inner edge?
Answer:
distance = (22/2) - (5/2) = 8.5 mm
Hope this helps chu
Have a great day
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The difference between the circumferences is 53.4 millimeters.
How much longer the outer edge is than the inner edge?Remember that for a circle of diameter D, the circumference is:
C = pi*D
where pi = 3.14159...
We know that the outer diameter of the coin is 22mm, then the outer circumference is:
C = 3.14*22mm = 69.1mm
The inner diameter is 5mm, then the inner circumference is:
C' = 3.14*5mm = 15.7mm
Then the difference is:
69.1mm - 15.7mm = 53.4mm
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Which of the following is most likely to bra relative maximum for this graph?
Answer:
(-1,8)
Step-by-step explanation:
Look at the top point of the parabola type thing. I know that it's not a parabola, but IDRK how else to describe it. If you see the top point at one of the answers, it is most likely correct.
(-1,8) is most likely to be the relative maximum for this graph.
What is Parabolla?A parabola is a U-shaped curve this is drawn for a quadratic function, f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.Learn more about parabola here:-https://brainly.com/question/64712
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Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals' intersection point. In complete sentences, explain which method you used for finding the intersection point.
Answer:
[tex](0.5,-4.5)[/tex]
Step-by-step explanation:
The given rectangle has diagonals have the endpoints P(-3, -2) ,I(4, -7) and A(4, -2) ,D(-3, -7)
The diagonals of the rectangle bisect each other so we use the midpoint formula to find their point of intersection.
The midpoint formula is;
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
We use any pair of endpoints of the diagonals to find the point of intersection.
Using A(4, -2) ,D(-3, -7)
[tex](\frac{4+-3}{2},\frac{-2+-7}{2})[/tex]
[tex](\frac{1}{2},\frac{-9}{2})[/tex]
or
[tex](0.5,-4.5)[/tex]
The vertex form of the equation of a parabola is y = 2(x+4)2-7.
What is the standard form of the equation?
Answer:
y = 2x² + 16x + 25
Step-by-step explanation:
Given in the question a vertex form of the equation
y = 2( x+4 )² - 7
The standard form of equation
y = ax² + bx + c
To convert it into standard form
y = 2(x² + 8x + 16) - 7
y = 2x² + 16x + 32 - 7
y = 2x² + 16x + 25
a = 2
b = 16
c = 25
PLEASEEEE HELP IMMEDIATELY!!!!!
Answer:
[tex] log(4) + log( {x}^{2} ) - log(3) + log(y) + log(z) [/tex]
I think the answer would be something like this. but please correct me if I'm wrong
What’s is the value of x?
the answer is 12 since the sum of the two angles has to equal 180.
first you do
5x+5+115=180
combine like terms
5x+120=180
subtract 120
5x=60
then divide by 5
x=12
2.5x−x+3.8x+0.7x=0.54
add similar elements: 2.5x-x+3.8x+0.7x= 6x
divide both sides by 6
x=0.09
Answer:
x=0.09
Step-by-step explanation:
2.5x−x+3.8x+0.7x=0.54
(2.5 -1 +3.8+0.7)x =0.54
6x=0.54
x=0.54/6
x=0.09
what is the solution to the equation below? 4•3^x=27.48
round your answer to 2 decimal places
A. x=1.33
B. x=2.96
C. x=2.29
D. x=1.75
Answer:
D. X=1.75
Step-by-step explanation:
To start, let’s divide both sides by 4.
So 3^x =27.48/4
Since we want to solve for x, we take the log_3 of both sides.
So [tex]log_{3}3^x[/tex]=[tex]log_{3}6.87[/tex]
Using the laws of logs, we get
[tex]x*log_{3}3[/tex]=[tex]log_{3}6.87[/tex]
since [tex]log_{3}3[/tex] is 1, we get
X=[tex]log_{3}6.87[/tex]
Using a calculator, we find that x is about 1.75
Please help simple pre algebra!!!
Answer:
Step-by-step explanation:
10.99
There is an aquarium that is shaped as a cube and each edge is 12 centimeters long. It contains 1.40 liters of water. How much more water is needed to fill the aquarium completely
Answer:
[tex]0.328\ l[/tex]
Step-by-step explanation:
Remember that
[tex]1\ l=1,000\ cm^{3}[/tex]
step 1
Find the volume of the aquarium
The volume is equal to
[tex]V=b^{3}[/tex]
we have
[tex]b=12\ cm[/tex]
substitute
[tex]V=(12)^{3}=1,728\ cm^{3}[/tex]
step 2
Convert to liters
[tex]1,728\ cm^{3}=1,728/1,000=1.728\ l[/tex]
step 3
Calculate how much more water is needed to fill the aquarium completely
Find the difference between the volume of the aquarium and the water that contains the aquarium
[tex]1.728\ l-1.40\ l=0.328\ l[/tex]
cole has a plastic cuo that has 125 milliliters of wqter in it.he drinks 37 milliliters of tue water.how much water is left in the cup?
You would need to subtract 37 from 125 to find the answer.
125-37=88
Find the missing side length of a right triangle length 6 height 8 and hypotenuse unknown
The answer would be 10 units.
I hope this helped!
Answer: 10
Step-by-step explanation:
You need to apply the Pythagorean Theorem:
[tex]a^2=b^2+c^2[/tex]
Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle.
Since you need to calculate the value of the hypotenuse, you need to solve for "a":
[tex]a=\sqrt{b^2+c^2}[/tex]
You know the lenght of two sides of the right triangle (6 and 8) Then, you can substitute these values into [tex]a=\sqrt{b^2+c^2}[/tex].
Therefore, the hypotenuse of this right triangle is:
[tex]a=\sqrt{6^2+8^2}[/tex]
[tex]a=10[/tex]
How would you solve 2x^2 -4x -3 = 0
ANSWER
[tex]x =1 +\frac{1}{2} \sqrt{ 10} \: or \: x =1 - \frac{1}{2}\: \sqrt{10}[/tex]
EXPLANATION
The given quadratic equation is
[tex]2 {x}^{2} - 4x - 3 = 0[/tex]
This function is of the form:
[tex] a{x}^{2} + bx + c = 0[/tex]
This implies that:
a=2, b=-4 and c=-3.
We can solve this equation using the quadratic formula:
[tex]x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
We substitute the values into the quadratic formula to obtain;
[tex]x = \frac{ - - 4 \pm \: \sqrt{ {( - 4)}^{2} - 4(2)( - 3)} }{2(2)} [/tex]
[tex]x = \frac{4 \pm \: \sqrt{ 40} }{4} [/tex]
[tex]x = \frac{4 \pm \: 2\sqrt{ 10} }{4}[/tex]
[tex]x =1\pm \: \frac{1}{2} \sqrt{10}[/tex]
[tex]x =1 +\frac{1}{2} \sqrt{ 10} \: or \: x =1 - \: \frac{1}{2} \sqrt{10}[/tex]