twenty-three and seven hundred six thousandths is 23.706
Which expression is equivalent to 4^6 • 4^-8
Answer:
[tex]\huge\boxed{4^{-2}}[/tex]
Step-by-step explanation:
If we have the expression [tex]4^6 \cdot 4^{-8}[/tex], our goal is to simplify it.
Using exponent rules, we know that [tex]a^b \cdot a^c = a^{b+c}[/tex].
Therefore, we can add our exponents (since we have the same base, 4) to get our simplified expression.
[tex]6 + -8[/tex]
Adding a negative is the same as subtracting a positive.
[tex]6 - 8 = -2[/tex]
Now we raise 4 to that power.
[tex]4^{-2}[/tex]
Hope this helped!
Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground again?
a. 1 second after the ball is thrown
b. 2 seconds after the ball is thrown
c. 3 seconds after the ball is thrown
d. 4 seconds after the ball is thrown
Answer:
d. 4 seconds after the ball is kicked
Step-by-step explanation:
The height function can be factored as ...
h = -16t(t -4)
The values of t where h = 0 are 0 and 4.
The ball will reach the ground again 4 seconds after it is kicked.
Answer:
D
Step-by-step explanation:
four seconds after the ball was thrown
Please mark brainliest:)
HELP NOW PLEASE I WILL GIVE BRAINLIEST IT'S URGENT!!!!!!
I need help filling in the equation for #30. My teacher asked me to fill in the blank.
y = ___ - 4x
Answer:
24
Step-by-step explanation:
y= 24-4x
NEED HELP ASAP 30 POINTS
Answer:
10 D + 1 P = 140
140 - 10(p) = 130
10 D = 130
130/10 = 13
13 = 13 dimes.
Help me please. THE SCREENSHOT HAS THE QUESTION!!!
Answer:
The answer is B.
Step-by-step explanation:
Remove the (unnecessary) parentheses then calculate the product.
9x^2y^3×12x^-3y^5×2xy= 216y⁹
Um avião levanta voo na cidade de Vitória - ES com destino a São Paulo - SP. Durante os dez primeiros minutos de voo, sua velocidade aumenta até atingir 800 km/h. A partir daí, o piloto automático é acionado, e essa velocidade permanece constante até que, cinquenta minutos após a decolagem, o piloto é orientado pela torre de controle para reduzir a velocidade para 600 km/h. Três minutos após essa orientação, o avião atinge 600 km/h e permanece nessa velocidade por mais 17 minutos, até iniciar os procedimentos de pouso na cidade de São Paulo, onde sua velocidade diminui até o pouso. O gráfico que melhor representa a velocidade desse avião em função do tempo é
Responda:
GRÁFICO DE TEMPO DE VELOCIDADE
Explicação passo a passo:
Para a pergunta, encontre o gráfico de velocidade-tempo no anexo.
O gráfico que melhor representa a velocidade desse avião em função do tempo é o gráfico velocidade-tempo. O gráfico de velocidade e tempo é um gráfico que representa o movimento de um objeto esquematicamente usando linhas. Ele é plotado em um plano de coordenadas com o eixo xe o eixo y.
A função de velocidade é posicionada no eixo y, enquanto o tempo gasto ao longo da viagem está no eixo x.
Pelo anexo, pode-se ver que o avião acelera em OA, possui velocidade constante em AB e CD e tem aceleração (desaceleração) negativa em BC e DE.
25x-10x²/-15x³ -5x plss helpp
Assuming it's factorization/simplify
[tex]\frac{25x-10x^2}{-15x^3-5x} \\\frac{5x(5-2x)}{-5x(3x^2+1)} \\\frac{5x(5-2x)}{-5x(3x^2+1)} \\-\frac{(5-2x)}{(3x^2+1)} \\-\frac{(-2x+5)}{(3x^2+1)} \\\frac{2x-5}{3x^2+1} \\[/tex]
If you have any questions, feel free to ask.
Answer:
2/3x^5+20x
Step-by-step explanation:
25x−/10x^2/−15x^3−5x
=25x+2/3x^5+−5x
Combine Like Terms:
=25x+2/3x^5+−5x
=(2/3x^5)+(25x+−5x)
=2/3x^5+20x
=2/3x^5+20x
Subtract.
6/11-2/11=
I need some help what’s the answer:(
6m+10p when m=8 and p=14
a) How many ways can the letters of the word IMPORTANCE be arranged in a row?
b) How many ways can the letters of the word IMPORTANCE be arranged in a row if I and M must remain next to each other as either IM or MI?
c) How many permutations of the letters IMPORTANCE contain P, O and R (all three of them) not to be together in any order?
A) The word IMPORTANCE has 10 letters, and all of them are unique. So, the number of ways to arrange the letters in a row is 10!, or 3,628,800.
B) If I and M must remain next to each other, we can treat them as a single letter. This gives us 9 letters to arrange, which can be done in 9! ways, or 362,880. We then need to divide by 2 to account for the fact that I and M can be arranged in two different ways (IM and MI). This gives us a final answer of 181,440.
C) If P, O, and R cannot be together in any order, we can treat them as three separate groups of letters. This gives us 6 groups of letters to arrange, which can be done in 6! ways, or 720 ways. We then need to divide by 3! to account for the fact that P, O, and R can be arranged in 3 different ways (POR, ORP, and RPO). This gives us a final answer of 240.
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Select the correct answer. What are the domain and the range of this function? A. domain: 6,INFINTY ; range: 2, INFINTY
B. domain: ; range: C. domain: ; range: D. domain: ; range:
The domain and the range of the function are
Domain = [-8, -3) U [-3, 6) U (6, ∝)Range = (-4, ∝)Calculating the domain and range of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph (see attachment)
The above graph can be represented as a list of ordered pairs
The rule of a graph is that
The domain is the x valuesThe range is the f(x) valuesUsing the above as a guide, we have the following:
Domain = [-8, -3) U [-3, 6) U (6, ∝)
Range = (-4, ∝)
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Solve for w.
-29 = -5 +4w
Simplify your answer as much as possible.
Answer:
W= -6
Step-by-step explanation:
-4w = -5 + 29
-4w = 24
Divide both sides by -4
=
W = -6
Answer:
you change w to the other side then proceed as you normally would
the exponential function f(x) has a horizontal asymptote at y=3 what is the end behaviour of f(x)?
Answer: C) as x → -∞, y → 3
as x→ ∞ , y → ∞
Step-by-step explanation:
see graph
Notice that as x approaches negative infinity (goes to the left), the y value approaches the asymptote of y = 3.
And as x approaches positive infinity (goes to the right), the y-value increases without bound so goes to infinity.
As x decreases without bound f(x) approaches but never reaches 3. As x increases without bound f(x) increases without bound. the option C is correct.
What are exponential functions?When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
Their usual form is specified below. They are written in several such equivalent forms.
From the graph, we can see that as x approaches negative infinity (goes to the left), the y value approaches the asymptote of y = 3.
As x approaches more negative the function will approach the horizontal asymptote,
so lim(f(x)) = 3 as x → -∞.
As x approaches more positive, so does the function,
so lim(f(x)) → +∞ as x → +∞.
As x decreases without bound f(x) approaches but never reaches 3. As x increases without bound f(x) increases without bound.
Hence, the option C is correct.
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Mr. Reddick has 74 total yards of red and blue felt to distribute to students in his art class. Each of his 20 students gets 2.5 yards of blue felt for the project. He also gives each student an equal amount of red felt. How much red felt does each student get?
1.2 yd
3.7 yd
12 yd
24 yd
Answer:
1.2 yard i got it right!
Step-by-step explanation:
Pentagon ABCDE has the following angle measures:
∠A = 121∠B = 108∠C = 102∠D = 100∠E = x
What is the measure of ∠E ?
Answer: ∠E = 109°
Step-by-step explanation:
The interior angles of a pentagon add up to 540°:
540 - 121 - 108 - 102 - 100 = 109
∠E = 109°
Hope this helps!
The company will produce ____ quarts of juice in the first quarter.
A. 18
B. 24
C. 28
D. 32
Answer: 24
Step-by-step explanation:
Enter the value for x that makes this equation 5 + 3x -37=6x +23-8 true.
Answer:
x= -47/3
Step-by-step explanation:
3x-6x=23-8-5+37
-3x=47
3x=-47
x= -47/3
Answer:
X= -47/3
that's the answer
Can someone please help me I’ll mark brainlist
Answer:
1 1/9
Step-by-step explanation:
Its a mixed number
the following stem-and-leaf plot represents the test scores for 24 students in a class on their most recent test. use the data provided to find the quartiles. test scores by student stem leaves 5 2 4 5 5 7 8 9 6 4 5 6 6 7 7 1 1 2 2 4 8 3 4 6 7 7 7 9 key: 5|2
The quartiles divide a dataset into four equal sections. The quartiles are used to measure the central tendency and variability of a dataset.
The quartiles divide the data into four parts, with each part containing an equal number of values. The quartiles are the first quartile (Q1), the second quartile (Q2), and the third quartile (Q3).
For second quartile:The stem-and-leaf plot for the test scores of 24 students is given below:5|2 4 5 5 7 8 9 6|4 5 6 6 7 7 1|1 2 2 4 8 3|4 6 7 7 7 9
The data must be ordered from least to greatest before calculating the quartiles.1.
Order the data:1 2 2 4 4 5 5 5 6 6 6 7 7 7 7 8 9 9 2.
The median is the middle value in the dataset. The median divides the data into two halves, with half the data on either side of the median. If there is an even number of values in the dataset, the median is the average of the two middle values.
In this case, there are 24 values, so the median is the average of the twelfth and thirteenth values:(6+7)/2=6.5
Therefore, Q2=6.53.
The first quartile (Q1) is the median of the lower half of the dataset. Q1 divides the lower half of the data into two quarters, with half the data on either side of Q1. 12 values are in the lower half of the dataset. Q1 is the median of these values.
Therefore, the values 1 2 2 4 4 5 5 5 6 6 6 7 are used to calculate Q1:(5+5)/2=5
Therefore, Q1=5.4.
The third quartile (Q3) is the median of the upper half of the dataset. Q3 divides the upper half of the data into two quarters, with half the data on either side of Q3.
12 values are in the upper half of the dataset. Q3 is the median of these values.
Therefore, the values 7 7 7 8 9 9 are used to calculate Q3:(7+8)/2=7.5
Therefore, Q3=7.5 .
The median (Q2) is 6.5. The interquartile range (IQR) is the difference between Q3 and Q1.
Therefore, the interquartile range (IQR) is 7.5-5=2.5.
The first quartile (Q1) of the given stem-and-leaf plot is 5, and the third quartile (Q3) is 7.5. The median (Q2) is 6.5. The interquartile range (IQR) is 2.5.
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Need help please!!!!
Q.1) (40 p.) Work out each of the following section: A. (10 p.) Calculate a) √x (R² R) and b) V.R, where R = Xi+Yj + Zk and R = R. B. (15 p.) Find the directional derivative of p=x²yz + 4x z² at (1, -2, -1) in the direction 2 i-j - k. C. (15 p.) Verify Green's theorem in the plane for [(xy. + y²)dx + x³dy where C is closed curve of the region bounded by y = x and y=x². Green's theorem is defined as [Pdz + Pdr + Qdy= ƏQ Ər -OP) dady ду
In this question, we are asked to perform various calculations and verify Green's theorem in the plane. The first section involves calculating the square root of a vector and finding the dot product of two vectors.
The second section requires finding the directional derivative of a function at a given point in a specific direction. Finally, the third section involves verifying Green's theorem for a given curve and region.
A. In the first part of the question, we are asked to calculate the square root of a vector (√x) and find the dot product of two vectors (V.R). To calculate √x (R² R), we take the square root of each component of the vector R (Xi+Yj+Zk) individually. For V.R, we perform the dot product operation, which involves multiplying corresponding components of the two vectors and summing them up.
B. In the second part, we need to find the directional derivative of the function p=x²yz + 4xz² at the point (1, -2, -1) in the direction of 2i-j-k. The directional derivative measures the rate of change of a function along a given direction. To find it, we calculate the gradient of the function and then take the dot product of the gradient with the direction vector.
C. The third part involves verifying Green's theorem for a given curve C and region bounded by y=x and y=x². Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region bounded by C. To verify the theorem, we calculate the line integral of the given differential form [(xy + y²)dx + x³dy over the curve C and compare it to the double integral of the divergence of the form over the region bounded by C.
In summary, this question requires performing vector calculations, finding directional derivatives, and verifying Green's theorem. Each section involves applying specific mathematical concepts and techniques to arrive at the final solutions.
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Multistep income statement In 2011. Grice Incorporated sold land fpr $95,000 cash. The land had originally cost $50,000. Also, Grice sold inventory that had Cost $200,000 for 5275,000 cash. Operating expenves amounted to $52,000. Required Accounting for Merchandising Busnesses 223 a. Prepare a 2011 multistep income statement for Grice Incorporated. b. Assume that norpal operating activities grow evenly by 10% during 2012. Prepare a 2012 multistep inconre statement of Grice lncorporated. c. Determine thepercentage change in net income between 2011 and 2012 . d. Should the stoskholders have expected the results determined in requirement "e"? Explain your answer.
A multistep income statement is a kind of statement of earnings that separates a business's revenue and expenses into multiple categories to help calculate gross profit and net income more precisely. Grice Incorporated's 2011 multistep income statement is shown below:
Grice Incorporated Multistep Income Statement For the Year Ended December 31, 2011Sales Revenue $275,000Cost of Goods Sold: Beginning Inventory $0Add: Purchases $200,000. Goods Available for Sale $200,000Less: Ending Inventory $0Cost of Goods Sold $200,000Gross Profit $75,000. Operating Expenses: Selling Expenses $16,000Administrative Expenses $36,000Total Operating Expenses $52,000Income from Operations $23,000Other Income $95,000Net Income $118,000b.
The 2012 multistep income statement for Grice Incorporated is prepared based on the assumption that normal operating activities grow evenly by 10%. The statement is shown below:
Grice Incorporated Multistep Income Statement For the Year Ended December 31, 2012Sales Revenue $302,500Cost of Goods Sold: Beginning Inventory $0Add: Purchases $220,000Goods Available for Sale $220,000Less: Ending Inventory $0Cost of Goods Sold $220,000Gross Profit $82,500Operating Expenses: Selling Expenses $17,600Administrative Expenses $39,600Total Operating Expenses $57,200Income from Operations $25,300Other Income $0Net Income $25,300c.
The percentage change in net income between 2011 and 2012 is calculated as follows:
Change in Net Income = (Net Income 2012 - Net Income 2011) / Net Income 2011= (25,300 - 118,000) / 118,000= -78.1%Therefore, the percentage change in net income between 2011 and 2012 is -78.1%.d.
No, the stockholders should not have expected the results determined in requirement "e" because the percentage change in net income between 2011 and 2012 is -78.1%. The decrease in net income was caused by the absence of extraordinary gains in 2012, which were present in 2011. However, the growth in normal operating activities had a positive impact on the company's gross profit and income from operations in 2012. Therefore, the stockholders' expectations should have been based on a comprehensive analysis of the company's financial performance in both years.
The multistep income statement helps to present the financial results of a business with more accuracy by separating revenues and expenses into multiple categories. It also assists in identifying trends and growth rates of the company. In the case of Grice Incorporated, the net income decreased by 78.1% in 2012 due to the absence of extraordinary gains in 2011, but the growth in normal operating activities had a positive impact on the gross profit and income from operations.
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I’ll give the Brainliest!!!
Which equation represents the following word problem:
A car is traveling twice as fast as a truck. If their combined speed is 105 miles per hour, find the speed of the car and find the speed of the truck. Please explain.
A. 3s = 105
B. s + s = 105
C. s = 105
D. s(2s) = 105
a) (4 pts) What is the (geometric) definition (not the value 3.1416) of the constant ? b) (6 pts) Find the exact perimeter of the following irregular pentagon if the distance between two nearest pegs is 1 cm. Leave your answer in square roots. 0 0 O O O O 0 O O 0 Answer: perimeter c) (6 pts) Find the exact area of the following irregular hexagon (using subtraction or addition method). The distance between two nearest pegs is 1 cm. Do not use the Pick's theorem or approximation method.
a) The geometric definition of the constant π is the ratio of a circle's circumference to its diameter.
b) The exact perimeter of the irregular pentagon is approximately 9.236 cm.
c) The exact area of the irregular hexagon cannot be determined with the given information.
a) The constant π is defined geometrically as the ratio of a circle's circumference to its diameter. In other words, it represents the relationship between the distance around a circle and the distance across it. It is an irrational number, approximately equal to 3.1416, but its exact value cannot be expressed as a finite decimal or fraction.
b) To find the exact perimeter of the irregular pentagon, we need additional information such as the lengths of its sides or the coordinates of its vertices. Without this information, it is not possible to calculate the exact perimeter.
c) Similarly, to find the exact area of the irregular hexagon, we need additional information such as the lengths of its sides or the coordinates of its vertices. Without this information, it is not possible to determine the exact area using the subtraction or addition method. Other methods such as dividing the hexagon into triangles or using trigonometric functions may be needed to calculate the area accurately.
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Help me please with this
Answer:
r = 42
Step-by-step explanation:
help!!!! thanks the question is on the screenshot bellow!!!!!!1
Answer:
I think it is 50:1
Step-by-step explanation:
What is the answer?
____÷ (-2) = (-3)
Answer:
6÷ (-2) = (-3)
Step-by-step explanation:
i used a calculator
but good question
PLS HELP ASAP calculate the distance between the two points. (18, -24) & (87, 100)
Answer:
The answer is 141.90 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(18, -24) & (87, 100)
The distance between them is
[tex]d = \sqrt{ ({18 - 87})^{2} + ({ - 24 - 100})^{2} } \\ = \sqrt{ ( { - 69})^{2} + ( { - 124})^{2} } \\ = \sqrt{4761 + 15376} \\ = \sqrt{20137} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 141.90489773...[/tex]
We have the final answer as
141.90 unitsHope this helps you
(19, 18), (-11, -14)
Find the slope of the line through each pair of points- Include the process.
(Will give top answer, pls answer!!)
Answer:16/15
Step-by-step explanation:
slope=[tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]
=[tex]\frac{-14-18}{-11-19}[/tex]
=[tex]\frac{-32}{-30}[/tex]
=[tex]\frac{16}{15}[/tex]
3.
Is the following relation a function?
Why or why not?
{(3,1), (-2,4),(4,5), (-7,7), (3,-3)}
The relation is a function
because x-values do not
repeat.
The relation is a function
because the x-values repeat.
The relation is NOT a function
because the x-values repeat.
The relation is NOT a function
because the y-values repeat.
Answer:
The relation is NOT a function because the x values repeat.
Step-by-step explanation:
remember a function means theres only ONE pair to a x value that means it cannot repeat the same number.In your equation there is a (3,1) and (3,-3) because there is 2 digits of 3 in the x value place the orderd pairs are NOT a function.
