CAN SOMEONE EXPLAIN TO ME HOW TO SOLVE 8^15÷8^7×8
Answers
So, we are to solve: \( {8}^{15} \div {8}^{7} \times 8\)
Using the exponential rule of multiplication and division with the same bases, which are:
\( {a}^{m} \times {a}^{n} = {a}^{m + n} \)
and:
\( {a}^{m} \div {a}^{n} = {a}^{m - n} \)
Therefore:
\( {8}^{15} \div {8}^{7} \times {8}^{1} = {8}^{15 - 7 + 1} \)
→\( {8}^{9} = 134217728\)
Therefore: 134217728 is the final answer
I hope this helps.Related Questions
You are playing in the NBA Playoffs and attempt a 3-point shot as the buzzer sounds for the end of the
game, if you make the shot your team wins! Your basketball is is traveling on a path described by the
following function: b(x) = -x2 +1.36x + 2. The net is on a level described by the following function:
n(x) = 3 between (8 < x < 8.5). Will you make the shot and win the playoffs?
You may work alone or in a group of up to 3 students total.
BONUS: How high in the air will the basketball be at its highest point?
UNITS: x is in meters, y is in meters.
Answers
The quadratic function for the path of the basketball as it is thrown indicates;
The path of the basketball will not make the shot
The height reached is about 5.24 meters
What is a quadratic function?A quadratic function is a function of the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, c, are numbers.
The function for the path of the basketball is; b(x) = (-1/7)·x² + 1.36·x + 2
The function for the location of the basketball net is; n(x) = 3 and (8 < x < 8.5), where;
n(x) = The vertical height of the basketball
Plugging in the value of the n(x) = b(x), to check if equations have a common solution, we get;
b(x) = n(x) = 3 = (-1/7)·x² + 1.36·x + 2
(-1/7)·x² + 1.36·x + 2 - 3 = 0
(-1/7)·x² + 1.36·x - 1 = 0
(1/7)·x² - 1.36·x + 1 = 0
Solving the above equation, we get;
x = (119 - √(9786))/(25) ≈ 0.803, and x = (119 + √(9786))/(25) ≈ 8.717
Therefore, the x-coordinates of the height of the path of the basketball when the height is 3 meters are 0.803 and 8.717, neither of which are within the range (8 < x < 8.5), therefore, the baseketball will not go through the net and the path will not make the shot.
Bonus; The x-coordinates of the highest point of a quadratic function, f(x) = a·x² + b·x + c is; -b/(2·a)
Therefore, the x-value at the highest point of the equation, b(x) = (-1/7)·x² + 1.36·x + 2 is; x = -1.36/(2 × (-1/7)) = 1.36 × 7/2 = 9.52/2 = 4.76
The height of the highest point is; b(9.52) = (-1/7)·(4.76)² + 1.36·(4.76) + 2 ≈ 5.24 meters
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Hideo wanted to verify that the amount of his savings account withdrawals was correct. His
new balance was $7680.08 and his previous balance had been $7147.50. In addition his
savings account had earned $32.58 in interest and he had made deposits totaling $1000.00.
How much had he withdrawn?
O $600
O $450
O $650
O $500
Answers
Using mathematical operators, Hideo withdraw $500
How Much Had he WithdrawnIn this problem, we have to start from his initial balance before the interest and deposit and subtract the current balance from it to determine how much he withdraw.
The basic mathematical operations are the four arithmetic operations that we have already learned in the above sections.
Addition and subtraction are inverse operations of each other. It means if the addition of two numbers gives the third number, then subtraction of an added number from the third number will result in the original number.
Using mathematical operators like addition and subtraction, we can represent this as
New balance = old balance + interest + deposit - withdrawal
withdrawal = 7147. 50 + 1000 + 32.58 - (7680.08)
withdrawal = 500
Hideo withdraw $500
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Three are saving for a special . The ratio of 's savings to 's savings is and the ratio of 's savings to 's savings is . Together all 3 have saved $. How much has each saved? Answer questions 34.
Answers
Answer:ok uhave to ask
Step-by-step explanation:
u have to ask your mom and your dad
A poker game requires players to draw a card and roll a die. The combination of card and die will determine if a player wins. There are:
13 different types of cards: Ace, 2,3,4,5,6,7,8,9,10, Jack, Queen, King
6 different numbers, one on each face of a die: 1,2,3,4,5,6
How many different combinations are there of one card and one die roll?
Answers
Answer:
78
Step-by-step explanation:
13*6=78
Answer:
that is not real, the game of poker does not need and does not use dice, they are only cards
explanation:
give me crown please ;-;
The first day they go to Dreamy Delights. Jack buys a cone with 3.0 oz of frozen yogurt for $9.20. Ianbuys a cone with 5.75 oz of frozen yogurt for $16.95.It says to summarize the information in a table
Answers
To summarize the information in a table:
In the column # of ounces of frozen yogurt put in the first cell the 3.0 oz that Jack bought and in the second cell the 5.75 oz that Ian bought.
In the column total cost in dollars put in the first cell the $9.20 that Jack paid and in the second cell the $16.95 that Ian paid
Find the missing angle
RPQ= __________
Answers
The value of angle RPQ in the circle is 115 degrees.
How to find the angle in the circle?Using angles of intersecting chord theorem, If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore,
∠RPQ = 1 / 2 (arc angle RQ + arc angle SA)
arc angle RQ = 175 degrees
arc angle SA = 55 degrees
Hence,
∠RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115 degrees.
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Answer: 115 degrees
Step-by-step explanation:∠
RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115 degrees.
Ten liters of water weigh 22 pounds. How many liters of water weigh 110 pounds?
F.11 liters
G.25 liters
H.50 liters
J.5 liters
Answers
110 pounds= ?
110/22 *1
=50 litres
After conversion 110 pounds will be equal to 50 liters .
Given,
Ten liters of water weigh 22 pounds.
Convert 110 pounds into liters .
Few unit conversions :
Conversion Factors:
1 mile = 5280 feet
1 foot = 12 inches
1 inch = 2.54 cm
1 cm = 10 mm
1 second = 1 s
Now ,
Ten liters of water weigh 22 pounds
So,
10 liters ⇒ 22 pounds
x liters ⇒ 110 pounds
x = 50 liters
Hence ,
50 liters will weight 110 pounds .
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What is the intermediate step in the form(x+a)^2=b as a result of completing the square for the following equation?
X^2-8x+32=12x-4
Answers
Answer:
To complete the square for the equation X^2-8x+32=12x-4, we first need to move all the constant terms to one side of the equation and all the variable terms to the other side.
X^2 - 8x - 12x + 32 = -4
Next, we can simplify the equation by combining like terms:
X^2 - 20x + 32 = -4
Then, we can add a constant term to both sides of the equation such that the left side becomes a perfect square trinomial:
X^2 - 20x + 100 = 64
Finally, we can write the left side of the equation in the form (x - a)^2, where a is a constant:
(X - 10)^2 = 64
Therefore, the intermediate step in the form (x + a)^2 = b as a result of completing the square for the equation X^2 - 8x + 32 = 12x - 4 is (X - 10)^2 = 64.
There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples? Show all of your work. Use the percent proportion model shown below to set up the equation before you calculate the answer.
Answers
Answer:
40%
Step-by-step explanation:
Total amount is 15
6 out of the 15 amount are apples
Thus, 6/15 x 100 = 40%
Or
You could ask yourself, what number do I multiply by 15 to get to 100?
Then, multiply the top (numerator) by it.
The value of the numerator will give you the final % (percentage) due to percentage being out of 100.
Hope this helps!
solve for x
6(x-2) = 8(x-9)
answer will get brainliest !!!
Answers
Answer:
x = 30
Step-by-step explanation:
6(x-2)=8(x-9)
6x-12=8x-72
6x-6x-12+72=8x-6x-72+72
60=2x
x = 30
check:
6(30-2)=8(30-9)
6(28)=8(21)
168=168 ✅
Please help me understand this handwriting can some pls re write and label I DONT UNDERSTAND CURSIVE :(
Answers
Answer:
7:01
29%
Doyan of low
Shiman 1-R-1
Flous 1-1 Gambe 1-4-20
12 dual purpose
Martins 1-2-3 Flores 1-2, 1-3, 14
Gamba 2-1-5
Custand 1-4, 2-1
Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI
Flores 1-30
Munting 1-2-4
Gumbon 1-1-3 CDP 1-1-3
Status oppose ending 742 Montoya 1-1, 1-2, 1-3
federal courts challenge
Gamboa 1-R-2 Custom 1-7
CDP 1-L-36, 1-2-4
de Vogue 1-2-1, 2-1-5, 2-L-6
7 expulsions at boders
root causes textul Amer.
Cop 1-L-34, 1-1-2, 1-R-4
Border Report 1-2
CDP 1-R-2, 1-R-3 Montoya 1-8
Custarda 2-2
=
CLOSE
Hopes this helps :)
In art class students are mixing blue and red paint to make purple paint. Isaiah mixes 3 cups of blue paint and 7 cups of red paint. Casho mixes 4 cups of blue paint and 13 cups of red paint. Use Isaiah and Casho's percent of red paint to determine whose purple paint will be redder.
Answers
Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.
To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.
Isaiah's Ratio:
Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.
To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:
Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%
Casho's Ratio:
Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.
To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:
Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)
Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).
Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.
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A supply of soaps available at different prices is given by the supply curve s (z) = 180+ 0.3z³, where x is the product quantity. If the selling price is
$250, find the producer surplus.
OA.
$1256.80
O B.
$1365.77
OC. $1591.84
OD. $1827.76
Answers
The producer surplus is $1365.77. Therefore, the correct answer is option B.
The producer surplus is the difference between the total revenue and the cost of producing the good. We can use the following formula to calculate the producer surplus:
Producer surplus = Total revenue - Cost of producing the good
Total revenue = Selling price x Quantity
Therefore, the producer surplus for the given supply curve is calculated as:
Producer surplus = (250 x z) - (180 + 0.3x³)
Substituting z = 250 in the equation, we get:
Producer surplus = (250 x 250) - (180 + 0.3 x 250³)
= 62500 - (180 + 1827.76)
= 62500 - 2007.76
= 60592.24
The producer surplus is $1365.77. Therefore, the correct answer is option B.
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❗❗100 POINTS FOR CORRECT ANSWER AND EXPLANATION❗❗~math question~
thanks)
Answers
Answer:
k = 110
Step-by-step explanation:
You want the integer multiple of pi that is the area of 300° of a donut with inner radius 8 cm and outer radius of 14 cm.
Area of a circleThe area of a circle is given by the formula ...
A = πr²
Then the area of the outer circle is ...
A = π(14 cm)² = 196π cm²
The area of the inner circle is ...
A = π(8 cm)² = 64π cm²
Donut areaThe area of the whole donut is the difference of these areas:
whole donut area = (196 -64)π cm² = 132π cm²
Shaded areaThe shaded area of the figure represents 300° of the 360° full donut. The area is proportional to the central angle, so the shaded area is ...
shaded area = (300°/360°)×whole donut area
shaded area = 5/6 × 132π cm² = 110π cm²
Comparing this to the expression kπ cm², we see that ...
k = 110
BRAINLIEST, 40 points
A girl's feet are negative 2/4 yards from the surface of a pool. A boy's feet are negative 3/4 yards from the surface of the pool. Determine whose feet are closer to the surface.
A. The girl's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
B. The boy's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
C. The girl's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
D. The boy's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
Answers
Answer:
A
Step-by-step explanation:
as a negitive 1/2 is closer than 3/4
Alice has 60 marbles. Forty five are red and the rest are black. what is the ratio of the number of black marbles to the number is f red marbles?
Answers
Answer:
15:45 (or 15 to 45)
Step-by-step explanation:
6x(24÷2) equals what?
Answers
Answer:
72
Step-by-step explanation:
do 24/2=12x6=72
Cassandra has a rectangular Panto in her backyard the painter is 12.74 m long and 5.45 m wide round the length and width to the nearest whole number then estimate the perimeter of cosines is Pantel write an equation to model your work
Answers
The perimeter of the rectangular Panto will be 38 meters.
How to calculate the perimeter?It is important to note that the perimeter of a rectangle is calculated as:
= 2(length + width)
In this case, Cassandra has a rectangular Panto in her backyard the painter is 12.74 m long and 5.45 m wide.
We are told to convert the dimensions to the nearest whole numbers. This will be 13m and 6m. Therefore, the perimeter will be:
= 2 (length + width)
= 2 13 + 6)
= 2(19)
= 38m.
The perimeter is 38m.
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Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answers
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
An art supplies store sells boxes that contain colored pencils and markers. Each box has a colored pencil to marker ratio of 5 to 2. Complete the table for the missing number of colored pencils, markers, or total number of colored pencils and markers in each box for sale.
Answers
Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.
How to complete the table of ratios?To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:
Box A
2 markers, 5 pencils.4 markers, 10 pencils.6 markers, 15 pencils.box B
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Using the table, what is the average daily balance of the credit card for the October 1 - October 31 billing period? Round your answer to the nearest cent. Do not include a dollar sign or comma in your answer. For example, $5,678.00 should be entered as 5678.00. Day 1112131 Activity − Payment Purchase Purchase Adjustment −−2000+1500+1000 Closing Balance 100008000950010500
Answers
The balance based on the.data given in the table is shown below.
Balance from day 1 to 10 = 11000
Balance from day 11 to 21= 8000
Balance from day 21 to 30- 5500
Balance on day 31 7500
How to explain the balanceBalance from day 1 to 10= 11000
Balance from day 11 to 21= 8000 Balance from day 21 to 30 5500
Balance on day 31- 7500
The average daily balance of the credit card for the month of december is:
Average daily balance The ratio of total balance from each day in cycle to the total number of days in cycle.
Total balance from each day in cycle=
(11000 x 10)+(8000 × 10)+(5500 x 10) + (7500 x 1) = 104000
Average daily balance=104000 / 31
= 8145
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Nike conducted a market research to study if there is any difference in satisfaction, between men and women, after 1 year ownership of Nike products. To test that their research team came up with the following hypothesis:
- Null: There is no difference in satisfaction between men and women.
- Alternative: Men and women differ in their satisfaction of Nike products.
The t-value for this alternative hypothesis is 2.52, and the degrees of freedom (df) = 117.
what is the p-value for this alternative hypothesis?
a.) 0.0065
b.) 0.0131
c.) 0.9869
d.) 0.9935
Answers
The p-value for this alternative hypothesis is approximately 0.0131.
Option b.) 0.0131 is correct.
To find the p-value for the alternative hypothesis, follow these steps:
1. Identify the t-value and degrees of freedom: t-value = 2.52,
df = 117.
2. Since this is a two-tailed test (we're testing for a difference in satisfaction between men and women, not just whether one group is more satisfied),
we need to find the p-value in the t-distribution table or use a t-distribution calculator.
Using a t-distribution calculator, we input the t-value (2.52) and degrees of freedom (117), and select a two-tailed test.
The calculator will give us the p-value.
Option b.) 0.0131 is correct.
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A local bakery sells bread and breakfast items. The bakery also offers two dessert options each day. Yesterday, the bakery offered decorated sugar cookies and miniature cakes. Each decorated sugar cookie sells for $3 and each miniature cake sells for $2. Yesterday, the bakery sold 40 bakery items, which sold for $96 total.
The system of equations shown can be used to represent this situation. In the system of equations, s equals the number of decorated sugar cookies sold and c represents the number of miniature cakes sold.
s+c=40 3s+2c=96
Answers
Answer:
I can't understand your equation. Please rewrite it.
Step-by-step explanation:
3+ (-20) + (-20) + (-3) + 40
Answers
Answer:
the answer is 0
Step-by-step explanation:
How do you find the mean and standard deviation?
Answers
Find the product and enter it in the box below. Enter your answer as apolynomial in descending order and use the caret) for exponents. For4x²2.example, you would write 4x as (x3 - 2x)(4x2 + 3)
Answers
Answer:
4x^5-5x^3-6x
Explanation;
Here, we want to expand the given polynomial expressions
We have this as follows:
\(\begin{gathered} (x^3-2x)(4x^2\text{ + 3)} \\ =x^3(4x^2+3)-2x(4x^2+3) \\ =4x^5+3x^3-8x^3-6x \\ =4x^5-5x^3-6x \end{gathered}\)Two angles of a quadrilateral measure 252° and 63°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?
Answers
The sum of the interior angles of a quadrilateral is 360°. We can use this fact to find the measures of the other two angles.
Let x be the measure of one of the two angles in the 2:3 ratio. Then, the measure of the other angle is 3x (since the two angles are in a ratio of 2:3).
We know that:
252° + 63° + 2x + 3x = 360°
Simplifying this equation, we get:
5x + 315° = 360°
5x = 45°
X= 9°
Therefore, one of the angles has a measure of 2x = 18°, and the other angle has a measure of 3x = 27°.
Answer:
The 4 angles of the quadrilateral are : 252, 63, 18 and 27
Step-by-step explanation:
252 + 63 + 2x + 3x = 360
315 + 5x = 360
5x = 45 ( 360-315 )
x = 9
Therefore, 1st angle = 2x = 18
2nd angle = 3x = 27
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
Answers
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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15.3
21. A squirrel is standing on the branch of a tree. The angle of elevation from a point on the ground to the squirrel
is 48°. The ground distance from the point to the tree is 28ft. How high above the ground is the squirrel?
Round your answer to the nearest foot.
48⁰
28 ft
21
Answers
Answer:
The height of the squirrel is 31 feet.
Step-by-step explanation:
You need to know your Right Triangle Trigonometry to do this problem.
Rt Triangle trig is all about ratios. Angles and ratios.
In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.
tan Angle = opposite/adjacent
tan 48° = x/28
multiply both sides by 28
28•tan48° = x
You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"
Enter 28 × tan48° =
It will return 31.0971504152
Your question asks you to round to the nearest whole.
x = 31
The squirrel's height in the tree is 31ft.
Determine the equation of the circle with radius 9 and center ( − 1 , − 8 ).
Answers
The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8 )² = 81.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
( x - h )² + ( y - k )² = r²
Given that the circle has a center of (-1, -8) and the radius is 9.
Hence; from the standard form of the equation of the circle:
Center ( h , k ) = ( -1, -8 )
h = -1
k = -8
And radius r = 9
Plug these values into the above formula and simplify.
( x - h )² + ( y - k )² = r²
( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²
Simplify
( x + 1 )² + ( y + 8 )² = 81
Therefore, the equation of the circle is ( x + 1 )² + ( y + 8 )² = 81.
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