Answers
Step-by-step explanation:
(4h⁴)⁴ / (4h^-8)
remember, multiplying exponents means adding them. exponents of exponents means multiplying them.
and dividing exponents means subtracting them.
also, n^-a = 1/(n^a).
let's look at the numerator (top part) first :
(4h⁴)⁴ = 4^1×4 × h^4×4 = 4⁴×h¹⁶
now, for the denominator, the exponent -8 applies only to h. not to 4.
so,
1/(4h^-8) = h⁸/4
and so, the whole expression is then simplified
4⁴×h¹⁶ × h⁸/4 = 4³ × h²⁴
Related Questions
M<7=100 find measure of <11
Answers
Answer:i think its 115 degres
Step-by-step explanation:
A science fair poster is a rectangle 3 ft long and 2 ftwide. Some of the entry rules for the fair refer to thearea of the poster in square inches. Use the facts tofind its area in square inches.2111XConversion facts for length1 foot (ft)12 inches (in)1 yard (yd)3 feet (ft)1 yard (yd) = 36 inches (in)= i need help with this problem.
Answers
We have the following information from the question:
• We have a science fair poster that is a rectangle, 3 feet in length, and 2 feet in width.
And we need to find the area of that rectangular poster in square inches.
To find the area in square inches, we can proceed as follows:
1. We can convert the given length and width to inches:
\(1\text{ foot=12inches}\)Then we have:
\(3ft\rightarrow3ft*\frac{12inches}{1ft}=36inches\)And also:
\(2ft\rightarrow2ft*\frac{12inches}{1ft}=24inches\)2. Now, since the area of a rectangle can be found as the length times the width, then we have:
\(\begin{gathered} A_{\text{ poster in inches}}=l*w=36in*24in=864in^2 \\ \\ A_{\text{ poster in inches}}=864in^2 \end{gathered}\)Therefore, in summary, the area of the science fair poster is, in square inches, equal to 864 square inches.
Choose the function rule that represents the sentence:
five more than the product of n and six is twelve
Answers
if a equals the number of deaths in 2009, b equals the population at the midpoint of 2009, and c equals the number of persons ages 15 to 24, what would be the crude death rate per 100,000 population?
Answers
the crude death rate per 100,000 population in 2009 was approximately 813.
To calculate the crude death rate per 100,000 population, we need to divide the number of deaths by the population and multiply by 100,000.
The population at the midpoint of 2009 is given by b. We don't know the exact value of b, but we can assume that it represents the population on July 1, 2009. According to the U.S. Census Bureau, the estimated population of the United States on July 1, 2009, was approximately 307 million. We can use this number as an approximation for b.
The number of deaths in 2009 is given by a. We don't know the value of a, but we can assume that it represents the number of deaths in the United States in 2009. According to the Centers for Disease Control and Prevention, there were approximately 2.5 million deaths in the United States in 2009.
The number of persons ages 15 to 24 is given by c. We don't know the value of c, but we can assume that it represents the number of people in this age group in the United States in 2009. According to the U.S. Census Bureau, the estimated population of this age group in the United States on July 1, 2009, was approximately 41 million.
Using these approximations, we can calculate the crude death rate per 100,000 population as follows:
Crude death rate = (a / b) x 100,000
Crude death rate = (2.5 million / 307 million) x 100,000
Crude death rate = 813.0081
Therefore, the crude death rate per 100,000 population in 2009 was approximately 813.
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What is the value of x? (-8x = 24) - 6x +18 - 122
Enter your answer in the box X=
Answers
Answer:
the value of x in x? (-8x = 24) - 6x +18 - 122 is x=40
Hope you do good :)
does anyone know this ?? could really use help :(
Answers
Answer:
AAS
Step-by-step explanation:
Suppose that the function g is defined, for all real numbers, as follows. x < - 1; g(x)= 2&ifx<-1\\ 3&ifx=-1\\ -1&ifx>-1; x = - 1; x > - 1 Graph the function g.
Answers
The given piecewise-defined function is:
\(g(x)=\begin{cases}{2\qquad\text{ if }x<-1} \\ {3\qquad\text{ if }x=-1} \\ {-1\qquad\text{ if }x>-1}\end{cases}\)It is required to graph the function.
To do this, graph each piece with respect to the corresponding domain.
Graph g(x)=2 over x<-1:
Notice that an open circle is at x=-1 since it is not included in the interval x<-1.
Graph g(x)=3 for x=-1. This is just a point:
Finally, graph g(x)=-1 for x>-1:
There is an open circle at x=-1 since it is not included in the interval x>-1.
Thus, the required graph of the piecewise-defined function is shown below:
David has a thousand trees.
He wants to plant the trees in rows.
He wants 73 trees in each row.
How many full rows of trees can David plant?
Answers
Answer:
13
Step-by-step explanation:
1000 / 73 = 13.69 , but it asks for full rows so you get rid of the decimal if it can't be round up to a whole number
Answer:
ANSWER:
13
So he can make 13 full rows of 73 trees
and 69 in another row
How many rays can you see in the picture?
Answers
Answer:
41
Step-by-step explanation:
please mark me as brainliest
fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Answers
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
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Does anybody know how to explain the distributive property and communitive property I’m in 7th grade I’m confused
Answers
The distributive property applies here. You can't combine the a or the b with anything else until you get them outside the parentheses. You have to "distribute" the multiplication by two across the a and b.
You get 2a + 6b.
a+b+c = a + c + b = c + a + b
This is an example of the commutative property. You can change ("commute") the order in which you add things together.
if you have a quarter a dime and a nickel, you can start with 25, add 10 to get 30, then add 5 to get 40.
Or if you want, you can start with the nickel, then the dime and finally the nickel. You get 5, then 15, then 40.
The order of addition doesn't matter as long as everybody gets added in. The commutative property also works for multiplication.
2 × 3 × 4 = 24
That's 2 groups of 3 = 6, then 4 groups of 6 = 24.
3 × 4 × 2 = 24
That's 3 groups of 4 = 12, then 2 groups of 12 = 24.
Again, the order of multiplication doesn't matter.
Does this help??
a book sold 34200 copies in its first month of release. suppose this represents 6.8% of the number of copies sold to date. how many copies have been sold to date.
Answers
On solving the provided question, we can say that equation let x =amount of copies sold = > 37,600is = .073 X x = 515,068.4932.
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
let x =amount of copies sold to date.
37,600is = .073 X x
t x = 37,600 / .073
= 515,068.4932.
round to nearest 515,068.
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Question 20 of 25
A day care facility is open six days a week. The numbers of children who
attend each day are:
22, 23, 23, 24, 20, 8
What is the most appropriate measure of center?
A. The range
B. The standard deviation
C. The median
D. The mean
Answers
The most appropriate measure of center include the following: C. The median.
What is a median?In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.
From the data set for this day care facility, we have:
22, 23, 23, 24, 20, 8
By sorting the data set from the least to greatest, we have:
8,20,22,23,23,24
Median = (22 + 23)/2
Median = 22.5
In conclusion, the median is the most appropriate measure of center because the value 8 is an outlier.
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Identify all the key features of the following quadratic function.
Answers
The key features of the function are
Axis of symmetry: x = -2Domain: -∝ < x < ∝Range: y ≥ - 6Vertex = (-2, 6)How to determine the key features of the function?The graph represents the given parameter of this question
From the question, the attached function is a quadratic function, and the key feature to calculate for the graph are:
DomainRangeVertexAxis of symmetryGenerally, the domain of a quadratic function is the set of all real values
This means that
Domain: -∝ < x < ∝
Also, the vertex from the graph is
Vertex = (-2, 6)
This represents the minimum
Remove the x coordinate
So, we have
y = -6
The vertex is a minimum
So, the range is y ≥ - 6
Recall that
Vertex = (-2, 6)
Remove the y coordinate
So, we have
x = -2
This represents the axis of symmetry
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ope has $900 in her checking account. she has $ 76 per month that she must pay bills .at most how many months,m, can she pay all of her bills without making any additional deposits?
Answers
Answer:
11 months
Step-by-step explanation:
Answer:11 Months
Step-by-step explanation:
Nine hundred divided 76 equals Months 900÷76=M
Find two rational and irrational number between 2.37 and 2.41
Answers
The two rational and irrational number that can be found between 2.37 and 2.41 would be given below;
Rational numbers= 2.38 and 2.4.
Irrational numbers = √2 + 2.37 and √3+2.37
What are rational numbers and irrational numbers?A rational number can be defined as the type of number that can be written as the ratio of two integers or any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.
Therefore,Rational numbers between 2.37 and 2.41 = 2.38 and 2.4.
An irrational number is defined as the number that is a real number that cannot be expressed as a ratio of integers; for example,
Therefore that Irrational numbers between 2.37 and 2.41 = √2 + 2.37 and √3+2.37
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After testing 7,200 transistors, an inspector found that 1.5% were defective. How many of the transistors were defective?
Answers
Answer: 108 transistors were defective
The easiest way to do this problem would be to use multiplication
Take 7,200 transistors and multiply it by 0.015
7,200 x 0.015
108
Can someone help find the volume of the composition 3D shape!!
Answers
Answer:
total ≈ 569.97
Step-by-step explanation:
both spheres combined ≈ 268.08
volume of cylinder ≈ 301.59
total ≈ 569.67
what information can the chi-square goodness-of-fit test provide?
Answers
The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.
The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.
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Find the area of a circle with a radius of 8.
Either enter an exact answer in terms of or use 3.14 for T and enter your answer as a decimal.
Answers
Answer:
64π²
Step-by-step explanation:
Formula is πr². Just put 8 into r.
Can I have Brainliest?
find the area of the diagram
Answers
Answer:
13500 ft²
Step-by-step explanation:
Area of rectangle:We can find the width of the rectangle using Pythagorean theorem.
AD² + DC² = AC²
180² + DC² = 195²
32400 + DC² = 38025
DC² = 38025 - 32400
= 5625
DC = √5625
= 75 ft
length = 75 ft
Width = 180 ft
\(\sf \boxed{\text{\bf Area of rectangle = length * width}}\)
= 75 * 180
= 13500 ft²
what is the t* associated with 98% confidence and df = 37?
Answers
When constructing a 98% confidence interval with a sample size of 37, the t* value to use for determining the margin of error or the width of the confidence interval is approximately 2.693.
To find the t* value associated with a 98% confidence level and degrees of freedom (df) equal to 37, we can refer to a t-distribution table or use statistical software. The t* value represents the critical value that separates the central portion of the t-distribution, which contains the confidence interval.
In this case, with a 98% confidence level, we need to find the t* value that leaves 1% of the distribution in the tails (2% divided by 2 for a two-tailed test). With df = 37, we can locate the corresponding value in a t-distribution table or use software to obtain the value.
Using a t-distribution table or software, the t* value associated with a 98% confidence level and df = 37 is approximately 2.693. This means that for a sample size of 37 and a confidence level of 98%, the critical value falls at approximately 2.693 standard deviations away from the mean.
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Choose the correct sign chart to solve the inequality using NLA.
-2x(x-6)(x+8)_<0
Answers
The solution to the inequality is:-8 < x < 0 OR x > 6.
what is inequality?
In mathematics, an inequality is a statement that one quantity is greater than, less than, or not equal to another quantity. In other words, an inequality expresses a relationship between two values that are not necessarily equal.
To solve the inequality using a sign chart, we need to first find the critical values of the expression -2x(x-6)(x+8). These critical values are the values of x that make the expression equal to zero or undefined.
Setting -2x = 0 gives us x = 0
Setting x-6 = 0 gives us x = 6
Setting x+8 = 0 gives us x = -8
These critical values divide the number line into four intervals: (-∞, -8), (-8, 0), (0, 6), and (6, ∞). We can now test each interval to see if the expression is positive or negative in that interval. We can do this by picking a test point in each interval and plugging it into the expression.
For example, if we choose x = -9 (a test point in the interval (-∞, -8)), we get:
-2(-9)(-9-6)(-9+8) = -2(9)(-15)(-1) > 0
Since the expression is positive for x = -9, it is also positive for all values of x in the interval (-∞, -8). We can repeat this process for the other intervals and fill in the sign chart:
- 0 + 6 -
---------|-------|-------|--------|--------|---------
-8 0 6
Now, we can determine the solution to the inequality by examining the sign of the expression in each interval. Since the inequality is less than zero, we are looking for the intervals where the expression is negative. From the sign chart, we see that the expression is negative in the intervals (-8, 0) and (6, ∞).
Therefore, the solution to the inequality is:-8 < x < 0 OR x > 6.
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[HELP FAST] A line passes through the point (4, -9) and has a slope of -5/4
Write an equation in slope-intercept form for this line.
![[HELP FAST] A line passes through the point (4, -9) and has a slope of -5/4Write an equation in slope-intercept](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/bN44C13KRWCIU7u6wVKdetfPeF3kmP2N.png)
Answers
Answer:
\(y= \frac{-5}{4}x -4\)
Step-by-step explanation:
using pt-slope form, we get \(y - (-9) = \frac{-5}{4}(x-4)\). Using the Distributive Property and Addition Propert of Equality, we can simplify this equation into \(y = \frac{-5}{4}x + 5\) by factoring -5/4 into (x-4) and subtracting 9 from both sides.
pakisaguatn pls help me asappppppppppp
nahihirapan po ako dito
plsssss
Answers
Answer:
Step-by-step explanation:
conversion factors:
m:cm= 1:100
dm:km= 1,000,000:1
m:mm= 1:1000
hg:dg= 1:1000
g:cg= 1:100
kg:g=1000
so we plug in:
5m=500 cm
5246dm=0.5246km
5.246m=5246mm
3.7hg=3700dg
0.37g=37cg
370kg:370000
so the word is SPEAKUP
Study the diagram of circle C.
A circumscribed angle, ∠PQR,
is tangent to ⨀C
at points P
and R,
and ∠PCR
is a central angle. Point Y
lies on the major arc formed by points P
and R.
Circle C as described in the text.
© 2016 StrongMind. Created using GeoGebra.
If m∠PQR=(12x−2)∘,
and mPR⌢=(20x−10)∘,
what is m∠PQR?
Responses
16∘
16 degrees
137.5∘
137.5 degrees
81∘
81 degrees
70∘
Answers
The measure of ∠PQR is approximately 101°.
To find the measure of angle ∠PQR, we can set up an equation using the information given.
From the problem, we know that m∠PQR = (12x - 2)° and mPR⌢ = (20x - 10)°.
Since ∠PQR is an inscribed angle and PR is a tangent, we can apply the inscribed angle.
According to the measure of an inscribed angle is half the measure of its intercepted arc.
The intercepted arc in this case is the major arc formed by points P and R.
Since Y lies on this arc, we can say that the intercepted arc measures 360° - mPR⌢.
We have the equation:
m∠PQR = 0.5 × (360° - mPR⌢)
Plugging in the given values, we get:
(12x - 2)° = 0.5 × (360° - (20x - 10)°)
Simplifying the equation:
12x - 2 = 0.5 × (360 - 20x + 10)
12x - 2 = 0.5 × (370 - 20x)
12x - 2 = 185 - 10x
22x = 187
x ≈ 8.5
Now we can find the measure of ∠PQR by substituting the value of x back into the expression:
m∠PQR = (12x - 2)°
= (12 × 8.5 - 2)°
≈ 101°
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9t-3t+4
Please help me ty :)
Answers
Answer: 0.6666666667
Step-by-step explanation: Simplifying
9t + -3t = 4
Combine like terms: 9t + -3t = 6t
6t = 4
Solving
6t = 4
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Divide each side by '6'.
t = 0.6666666667
Simplifying
t = 0.6666666667
Answer:
6t+4
Step-by-step explanation:
khan said so
Can you help me with this one please? Only part b
Answers
Simplifying,
\(\begin{gathered} ((5+2i)^2-2)i\rightarrow(25+20i+4i^2-2)i\rightarrow(23+20i-4)i \\ \\ \rightarrow(19+20i)i\rightarrow19i+20i^2\rightarrow-20+19i \end{gathered}\)What's the slope intercept form, simplifying all fractions.
3x +6y = 42
Answers
Step-by-step explanation:
Solving
3x + -6y = 42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6y' to each side of the equation.
3x + -6y + 6y = 42 + 6y
Combine like terms: -6y + 6y = 0
3x + 0 = 42 + 6y
3x = 42 + 6y
Divide each side by '3'.
x = 14 + 2y
Simplifying
x = 14 + 2y
The slope of the equation 3x +6y = 42 is - 1 / 2.
How to find the slope of an equation?The slope of a line is the change in the dependent variable with respect to the change in the independent variable.
Therefore, the equation a line can be represented in slope intercept form as follows;
y = mx + b
where
m = slopeb = y-interceptTherefore,
3x + 6y = 42
6y = -3x + 42
divide both sides by 6
y = -3x / 6 + 42 / 6
y = - 1 / 2 x + 7
Therefore, the slope is - 1 / 2.
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Triangles ABC and JKL are similar. What is m
Answers
One triangle equals 180 degrees so you subtract 48 - 180= 132. Then you divide 132 by two because the bottom two angles are equal so 132/2 equals 66
Sorry that was confusing hope this helps!