The area of the circle with [tex]\(r = 1\)[/tex] is [tex]\(\pi\)[/tex].
The area ([tex]\(A\)[/tex]) of a circle is given by the formula:
[tex]\[A = \pi r^2\][/tex]
Where [tex]\(r\)[/tex] is the radius of the circle.
Given that [tex]\(r = 1\)[/tex], we can substitute this value into the formula:
[tex]\[A = \pi \times (1)^2\][/tex]
[tex]\[A = \pi \times 1\][/tex]
[tex]\[A = \pi\][/tex]
Therefore, the area of the circle with [tex]\(r = 1\)[/tex] is [tex]\(\pi\)[/tex].
How do you find the area of a circle?
(I’m in 7th grade)
Answer:
A =πr^2
Step-by-step explanation:
Answer: The formula for the area of a circle is pi times the radius, squared (A = π r²)
Step-by-step explanation:
does anybody know this?
Answer:
37
Step-by-step explanation:
To evaluate, substitute x = 10 into g(x) then substitute the value obtained into f(x)
g(10) = 10 - 4 = 6, then
f(6) = 6² + 1 = 36 + 1 = 37
What is the factored form of x^3-1
Answer:
the factors of x^3-1 are [tex]x^3 -1 = (x-1) (x^2 +x+1)\\[/tex]
Step-by-step explanation:
We need to find factors of x^3 -1
[tex]x^3-1 \\(x)^3 -(1)^3\\We \,\, know\,\, a^3 -b^3 = (a-b) (a^2 +ab + y^2) \\So, \,\, using\,\, the \,\, formula\,\,\\Here\,\, a= x \,\,and\,\, b= 1\\(x)^3 -(1)^3 = (x-1) (x^2 +x+1)\\[/tex]
So, the factors of x^3-1 are [tex]x^3 -1 = (x-1) (x^2 +x+1)\\[/tex]
Four friends have dinner and bill comes to 85.78. They leave an 18 percent tip. What is the total amount of their bill.
Answer:
$15.44
Step-by-step explanation:
Answer:
about 101.22
Step-by-step explanation:
pls help ASAP
Explain how to find the relationship between two quantities, x and y, in a table. How can you use the relationship to calculate the missing values in the table?
To find the relationship between two quantities, x and y, in a table, analyze patterns in the changes of the values, determine if the relationship is linear or nonlinear, and then use the identified relationship to calculate missing values. A computer can be useful for plotting data and visualizing the relationship.
Explanation:To find the relationship between two quantities, x and y, in a table, first, you need to look for a pattern in the way the numbers change. If y changes by a consistent amount when x changes by a set amount, the relationship is likely linear. If the rate of change itself changes, the relationship may be nonlinear. To determine the relationship:
Calculate the differences in y-values and x-values between successive points.Look for a constant ratio or a constant difference to identify a linear relationship.Plot the data to visually inspect the form of the relationship.To fill in missing values:
Use any known relationships (e.g., y = mx + b for linear relationships).If you identify a consistent pattern in the changes of x and y, apply this pattern to estimate the missing values.If the relationship is nonlinear, you may need to estimate the slope at a point or apply a nonlinear model.Use extra information provided to calculate missing x or y values.When calculating these relationships, plotting data using computers can be helpful, especially for identifying linear or nonlinear relationships and for regression analysis in more complex datasets.
the sale of a boatshaped like a right triangle with the dimensions shown below how much material is needed to make the sale
[tex]A=\frac{ab}{2}=\frac{25\cdot12}{2}=\boxed{150}[/tex]
There are 15 printers in one department. If 2/5 are color printers, how many can only print black and white?
Answer:
your answer would be 9 printers
The answer is:
There are a total of 9 black and white printers
Why?To solve the problem, first, we need to calculate how many color printers represents two-fifths of the total printers, then, calculate the number of black and white printers using the total number of printers and the number of color printers.
Calculating how many color printers does the departament have:
[tex]ColorPrinters=TotalPrinters*\frac{2}{5} \\\\ColorPrinters=15*\frac{2}{5}\\\\ColorPrinters=\frac{30}{5}=6[/tex]
Therefore, we have that there are 6 color printers.
Now, calculating the number of black and white printers, we have:
[tex]TotalPrinters=ColorPrinters+BlackAndWhitePrinters\\\\BlackAndWhitePrinters=TotalPrinters-ColorPrinters\\\\BlackAndWhitePrinters=15printers-6printers=9printers[/tex]
Hence, we have that there are a total of 9 black and white printers.
Have a nice day!
If f(x) = 5x + 40, what is f(x) when x = -5?
the answer to this problem is 15
I believe 15 is correct ^^
An important postulate in geometry states: "Through Point P, there is only one line parallel to ". What is the equation of line l, parallel to AB that passes through Point X?
Answer:
y=(-5/12)x+(95/12)
Step-by-step explanation:
step 1
Find the slope of the line AB
m=(3-8)/(2+10)=-5/12
step 2
Find the slope of the line parallel to AB
we know that
If two lines are parallel then their slopes are the same
so
the slope is m=-5/12
step 3
Find the equation of the line l parallel to AB that passes through Point X
The equation of the line into point slope form is equal to
y-y1=m(x-x1)
substitute
y-10=(-5/12)(x+5)
y=(-5/12)x-(25/12)+10
y=(-5/12)x+(95/12)
Which of the following is not an idea from the enlightenment?
Answer:
The answer is B.
Step-by-step explanation:
Please make me the brianliest
Simplify the following expression
7x^2 - 15x + 5 - 2x - 8x^2
Answer:
[tex]\large\boxed{7x^2-15x+5-2x-8x^2=-x^2-17x+5}[/tex]
Step-by-step explanation:
[tex]7x^2-15x+5-2x-8x^2\qquad\text{combine like terms}\\\\=(7x^2-8x^2)+(-15x-2x)+5\\\\=-x^2-17x+5[/tex]
HELPPPPP FAST PLEASE
1. what is the excluded value of 2x/ 1-2x
a.0
b.1/2
c.1
2.what are the excluded values of -7/x^2-2x-15
a.0 and 15
b.3 and -5
c.-3 and 5
Answer:
b and c
Step-by-step explanation:
The excluded values are any values of x that make the denominator equal to zero as this would make the rational function undefined.
Equate the denominator to zero and solve for x to obtain excluded values
1
solve 1 - 2x = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex] → b
2
x² - 2x - 15 = 0 ← in standard form
(x - 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 3 = 0 ⇒ x = - 3
Excluded values are x = - 3 and x = 5 → c
Answer:
B and C
Step-by-step explanation:
very confused please help asap ( 13 points)
Answer:
2 and a half
Step-by-step explanation:
To solve this, divide the total amount of free time [5/6] by the time it takes to play one video game [1/3]
Remember that dividing 5/6 by 1/3 is the same as multiplying 5/6 by 3/1.
Multiply the numerators
5 x 3 = 15
Multiply the denominators
6 x 1
15/6 = 2 3/6
So, Lamar can play 2 and a half video games
I hope this helps!
The answer is 2 and a half.
24 is 0.4 of what number
Answer:
60
Step-by-step explanation:
All you have to do is this:
24 * 2/5 (original equation)
24*5/2 = 60
The data below represents the scores in a golf tournament. If the mean is 70 with a standard deviation of 4.9, circle all values with a
z-score greater than 0.5
63, 64, 65, 67, 70, 71, 73, 73, 76, 78
To circle all values with a z-score greater than 0.5, calculate the z-score for each value and compare it to 0.5. The values with a z-score greater than 0.5 are 76 and 78.
Explanation:To determine which values have a z-score greater than 0.5, we need to calculate the z-score for each value in the data set. The z-score formula is calculated by subtracting the mean from a value and then dividing by the standard deviation. If the resulting z-score is greater than 0.5, we circle the corresponding value.
For the value 63: z-score = (63 - 70) / 4.9 = -1.43For the value 64: z-score = (64 - 70) / 4.9 = -1.22For the value 65: z-score = (65 - 70) / 4.9 = -1.02For the value 67: z-score = (67 - 70) / 4.9 = -0.61For the value 70: z-score = (70 - 70) / 4.9 = 0For the value 71: z-score = (71 - 70) / 4.9 = 0.2For the value 73: z-score = (73 - 70) / 4.9 = 0.61For the value 73: z-score = (73 - 70) / 4.9 = 0.61For the value 76: z-score = (76 - 70) / 4.9 = 1.22For the value 78: z-score = (78 - 70) / 4.9 = 1.63Based on the calculations, the values with a z-score greater than 0.5 are 76 and 78. Therefore, these two values should be circled.
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To determine the values with z-scores greater than 0.5, calculate the z-score for each value. The values with z-scores greater than 0.5 are 76 and 78.
Explanation:In order to determine which values have z-scores greater than 0.5, we need to calculate the z-score for each value. The z-score formula is:
z = (x - mean) / standard deviation
Let's calculate the z-scores for each value and circle the ones greater than 0.5:
63 has a z-score of -1.4364 has a z-score of -1.2265 has a z-score of -1.0267 has a z-score of -0.6170 has a z-score of 071 has a z-score of 0.273 has a z-score of 0.6173 has a z-score of 0.6176 has a z-score of 1.2278 has a z-score of 1.63Values with z-scores greater than 0.5 are: 76 and 78.
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Find 4 1/5 - 7 2/3
28 2/15
28 3/10
32 1/5
323/5
Answer:
Final answer is [tex]=3\frac{7}{15}[/tex].
Step-by-step explanation:
[tex]4\ \frac{1}{5}-7\ \frac{2}{3}[/tex]
[tex]=\frac{4\cdot5+1}{5}-\frac{7\cdot3+2}{3}[/tex]
[tex]=\frac{20+1}{5}-\frac{21+2}{3}[/tex]
[tex]=\frac{21}{5}-\frac{23}{3}[/tex]
[tex]=\frac{21}{5}\cdot\frac{3}{3}-\frac{23}{3}\cdot\frac{5}{5}[/tex]
[tex]=\frac{63}{15}-\frac{115}{15}[/tex]
[tex]=-\frac{52}{15}[/tex]
[tex]=-3\frac{7}{15}[/tex]
Hence final answer is [tex]=3\frac{7}{15}[/tex].
Dave uses the functionP(d) = 20d - 20 to calculate the net profit of his dog walking business. Where P(d) is the net profit in dollars, and "d" the number of dogs he walks. Interpret the meaning of the equation below using the context of the problem
P(3) = 40
When Dave walks three dogs he will earn a net profit of 40 dollars.
P(3) = 40 in the given problem context implies that Dave makes a net profit of 40 dollars from walking three dogs.
Explanation:In the given problem context, the equation P(3) = 40 means that when Dave walks three dogs (d=3), he makes a net profit of 40 dollars. Dave's profit function is P(d) = 20d - 20. By substituting d with 3 in his profit function, we obtain P(3) = 20*3 - 20, which gives us P(3) = 60 - 20 = 40. Thus, Dave earns a net profit of 40 dollars from walking 3 dogs.
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what is 26.553 rounded to the nearest hundred?
Answer:
26.55
Step-by-step explanation:
When rounding to the nearest whatever, you always look at the digit to the right of it. In this case, you look at the thousandth digit. 3 is not equal to or less than five, so you round 3 to 0 and you get 26.55
For a field trip, 29 students rode in cars and the rest filled nine buses. how many students were in each bus if 551 students were on trips?
Answer:
58 students were in each bus
Step-by-step explanation:
First, you'd have to subtract 29 from 551. This gives you 522. Then, you'd simply have to divide 522 by 9. 5 cannot go into 9 so we drag down the 2, 9 can go into 52 5 times. Then, you'll be left with 7, so you bring down the last digit, 2. 9 goes into 72 exactly 8 times.
Plz help me with this
Answer: [tex]A)\quad \dfrac{x^6\ z}{y^{10}}[/tex]
Step-by-step explanation:
[tex].\quad \dfrac{(x^{2}\cdot y^{-3}\cdot z^{4})^2}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\= \dfrac{x^{2\cdot 2}\cdot y^{-3\cdot 2}\cdot z^{4\cdot 2}}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\=\dfrac{x^{4}\cdot y^{-6}\cdot z^{8}}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\=\dfrac{x^{4+2}\cdot y^{-6+6}\cdot z^{8-7}}{x^{-2+2}\cdot y^{4+6}\cdot z^{7-7}}\\\\\\=\large\boxed{\dfrac{x^6\ z}{y^{10}}}[/tex]
Steve can train 48 dogs in 6 hours. How many dogs can Steve train in 10 hours?
Answer:
80
Step-by-step explanation:
Steval train 80 dogs in 10 hours because 48÷6 = 8 so if you do 10 times a day you get 80 so you will get a total of 80 dogs in 10 hours
For the direct variation such that when y = 2 then x = 3 , find the constant of variation ( k) and then find the value of y when x = - 0.5.
Answer:
k is 2/3 and y is -1/3 when x is -0.5.
Step-by-step explanation:
The direct variation relationship is y = kx, where k is the const. of var.
Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.
Now, if x = -0.5, y = (2/3)(-1/2) = -1/3
k is 2/3 and y is -1/3 when x is -0.5.
Answer:
2/3 and y is -1/3 when x is -0.5.
Step-by-step explanation:
Hope I helped
You'll find lots of clouds over _____________ climates and practically no clouds over ___________ climates.
these are your answers : tropical, desert, polar, maritime. ( they will work for both)
(this is science)
Answer:
you'll find lots of clouds over tropical climates and practically no clouds over desert clmates.
Answer:
encontrará muchas nubes sobre climas tropicales y prácticamente ninguna nube sobre climas desérticos.
Step-by-step explanation:
Which dimensions can create more than one triangle
Answer:
Three angles, measuring 25,65, and 90.
Step-by-step explanation:
And buys a pencil for $0.45 draw and label coins. Ann could use to make $0.45
Answer:
You could use one quarter and two dimes... that will equal $0.45
(I'm not sure what you are asking for)
Answer:
You could use 9 nickels
You could use 45 pennies
You could use 1 quarter and 2 dimes
You could use 4 dimes and 1 nickel
You could use 2 dimes and 5 nickels
You could use a lot more combination that equal 45...
Select "Growth" or "Decay" to classify each function.
Final answer:
Classifying functions involves identifying whether a population is experiencing growth, depicted by exponential or J-curve growth models, or decay, which is often described through logistic or S-curve models. Exponential growth shows unrestricted rapid increases, while logistic growth accounts for environmental limits and a carrying capacity. Age structure diagrams provide further context for the type of population change being observed.
Explanation:
Growth and Decay in Biological Functions
When classifying functions as growth or decay, one must consider the nature of the function in relation to the context of time and population size. For instance, when discussing bacterial growth, Curve A depicting exponential growth is characterized by a population size that increases rapidly over time, often without any constraints. This curve represents a J-curve model on a graph where population size skyrockets as time progresses. On the other hand, Curve B illustrates logistic growth, which follows an S-curve model where the population grows rapidly at first and then slows down as it reaches carrying capacity, a point where growth rate starts to decline.
Different time intervals on a growth curve represent various phases, such as the lag phase, where growth is slow or negligible; the log phase or exponential phase, where the number of cells increases dramatically; the stationary phase, where growth rate is zero due to resource depletion or waste accumulation; and the death phase, where the number of live cells declines.
Various types of growth in organisms can be identified by their structural adaptations or ecological contexts, such as whether they are terrestrial or aquatic, or whether they are deciduous or evergreen plants. Additionally, age structure diagrams for populations can reveal if a population is rapidly growing, growing slowly, stable, or in decline.
Determine the projection of u=1.6i+3.3j in the v=-2.1i-0.5j direction
The projection of [tex]\vec u[/tex] onto [tex]\vec v[/tex] is
[tex]\mathrm{proj}_{\vec v}(\vec u)=\dfrac{\vec u\cdot\vec v}{\vec v\cdot\vec v}\vec v[/tex]
We have
[tex]\vec u\cdot\vec v=1.6\cdot(-2.1)+3.3\cdot(-0.5)=-5.01[/tex]
[tex]\vec v\cdot\vec v=\|\vec v\|^2=(-2.1)^2+(-0.5)^2=4.66[/tex]
[tex]\implies\mathrm{proj}_{\vec v}(\vec u)=\dfrac{-5.01}{4.66}\vec v\approx2.26\,\vec\imath+0.54\,\vec\jmath[/tex]
Answer:
answer is B i think on edg. 2.3i+0.5j
Step-by-step explanation:
just took the test
Quick!! I need help with this question!
1. 60 / 1/8 * 3/4
2. 3/4 * 15
3. 7/8 / 3/4
ANSWER NEEDED ASAP!!!!!!!!
1. 428 pages: There are a total of 428 pages that you can flip to.
2. 1/428: Page 45 is only one page out of the total sample space.
3. 1/2: Since the last page is 428, there is an even number of pages. That means that there are 214 page numbers that are even. 214/428 = 1/2.
Answer:
1. What is the sample space for this experiment?
A: 1 to 428
2. What is the probability that you will turn to page 45?
A: There is a 1 out of 428 chance you will turn to page 45.
3. What is the probability that you turn to an even numbered page?
A: There is a 1 out of 2 chance you will turn to an even numbered page.
Which expression is equivalent to this one? 1/6(x - 18)
A)1/6x - 18
B)1/6x • (-18)
C)1/6x - 3
D)1/6 + x - 18
C, because you distribute the 1/6 to x and 18 which ends up being 1/6x - 3
[tex]\frac{1}{6}(x-18)[/tex] Distribute 1/6(multiple 1/6 to x and -18)
[tex]\frac{1}{6}(x) -\frac{1}{6} (18)[/tex] Simplify
[tex]\frac{1}{6}x -3[/tex] Your answer is C