A rats angular section of wilderness will be set aside as a new wildlife refuge its dimensions are 5×10 5 m x 4×10 4 m find the area of the land
The area of a rectangle can be calculated with the following expression:
\(A=\text{width}\cdot\text{height}\)In this case, we have the width and height given in scientific notation, which means they have a power of 10. In order to multiply two numbers represented in this manner, we need to make both powers have the same exponent, this is done by adding one zero on the first notation.
\(undefined\)I need help trying to solve for x IN GEOMETRY
GIVEN:
We are given a circle with a secant and a tangent intersecting outside the circle.
Required;
To calculate the value of x from the information provided.
Step-by-step solution;
"If a secant and tangent are drawn to a circle from the same external point, the products of the length of the secant and its external segment equals the square of the length of the tangent segment."
This is illustrated below;
From the diagram above, the theorem would be applied as follows;
\(PC^2=PA\times PB\)We now have the following;
\(\begin{gathered} (x-1)^2=(x-3)\times(x-3+5) \\ \\ x^2-2x+1=(x-3)(x+2) \\ \\ x^2-2x+1=x^2-x-6 \end{gathered}\)Next we collect all like terms;
\(\begin{gathered} x^2-2x+1=x^2-x-6 \\ \\ x^2-x^2-2x+x=-6-1 \\ \\ -x=-7 \end{gathered}\)Divide both sides of the equation by -1;
\(x=7\)ANSWER:
Option D is the correct answer
\(x=7\)See question in screenshot below:
The trigonometric equation cot (- x) · cos (- x) + sin (- x) is equal by means of trigonometric formulas and definitions of trigonometric functions to - csc x.
How to simplify a trigonometric equation
In this problem we find the definition of trigonometric equation, this expression has to be simplified by means of trigonometric formulas and definitions of trigonometric functions. Herein we must apply the following expressions to simplify the equation:
cot x = cos x / sin x
cos² x + sin² x = 1
cos (- x) = cos x
sin (- x) = - sin x
1 / sin x = csc x
Now we proceed to simplify the trigonometric equation:
cot (- x) · cos (- x) + sin (- x)
[cos (- x) / sin (- x)] · cos (- x) + sin (- x)
cos² (- x) / sin (- x) + sin (- x)
[cos² (- x) + sin² (- x)] / sin (- x)
1 / sin (- x)
- 1 / sin x
- csc x
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blake bike east at 5m/s. five seconds later he speeds up to 9 m/s.
what is his change in velocity? what is his acceleration?
Answer:
The answer is down below
Step-by-step explanation:
v-u=◇velocity
\( = 9 - 5\)
◇velocity =4ms‐¹
acceleration =◇velocity/time
\(a = \frac{4}{5} \)
\(a = 0.8m {s}^{ - 2} \)
Change in velocity:
\( \sf \:final \: velocity - initial \: velocity = change \: in \: velocity\)
\( \therefore \tt \delta \: v = 9 - 5 \\ \tt = 4m {s}^{ - 1} \)
To find acceleration:
\( \rm \: a = \frac{ \triangle \: v}{\triangle \: t} \)
\( \rm \: a = \frac{ 4}{5 - 0} = \frac{4}{5} = 0.8m {s}^{ - 1} \)
PLEASE HELP
The table of values represents an exponential function.
What is the y-coordinate of -3f(x-1) when x = 0
Enter your answer in the box.
SEE PHOTO
The y-coordinate of -3f(x-1) when x = 0 is -63
What is the y-coordinate of -3f(x-1) when x = 0From the question, we have the following parameters that can be used in our computation:
The table of values
So, we have
-3f(x - 1)
When x = 0, we have
y = -3f(0 - 1)
This gives
y = -3f(-1)
From the table, we have
y = -3 * 21
Evaluate
y = -63
Hence, the y-coordinate is -63
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Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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3 mugs have the same capacity as 2 bottles. The capacity of 10 mugs and
8 bottles is 15.4 l. Find the capacity of a mug.
Answer:
0.70L
Step-by-step explanation:
3m=2b
convert 8 b to mugs
therefore 8b=12m
12m+10m=22m
15.4/22=0.700l
5) Factor the following special quadratics: a) x 24x+144 b) 36x² -49
Given a quadratic equation of the form
x² -2ax+a²,
Then the factor is x = a
Therefore,
x² -24x+144= x² -2(12)x+ 12²
Hence in this case a = 12
Then the factor is 12
b)
Given a quadratic equation of the form
\(\begin{gathered} a^2x^2-b^2, \\ \text{Then the factor of the equation is} \\ \frac{b}{a}\text{ and -}\frac{b}{a} \\ \text{Where a and b are constants} \end{gathered}\)In this case,
\(\begin{gathered} a^2=36\Rightarrow a=6 \\ b^2=49\Rightarrow b=7 \end{gathered}\)Therefore
The roots are
\(\pm\frac{7}{6}\)That is
\(1\frac{1}{6}\text{ and -1}\frac{1}{6}\)Hereford College has space for 450 students in the freshman class. The college estimates that 60% of the students who are admitted will actually attend the college. How many students are in 7th grade?
Learning about sukutes. Noel began to notice them all around him. He noticed that the windshield wiper on a car divides the windshield into two sukutes. Look at the picture and calculate the unknown sukute? Fast Help
Draw a line connecting the two perpendicular lines, creating a triangle. Calculate the two remaining unknown sukutes, subtract 62 from 180 to get 118 degrees, and divide this by two to get 59 degrees.
What are perpendicular lines?
Perpendicular lines are described in geometry as line segments that join or overlap at right angles. The word 'perpendicular' comes from the Latin word 'perpendicularis,' which means a plumb line. If two lines AB and CD are parallel, we may express them as AB and CD. The sign indicates that the lines are perpendicular.
Step 1: Draw a line from the center of the windshield to the left side of the windshield. This line should be 90 degrees.
Step 2: Draw another line perpendicular to the first line, going from the center of the windshield to the right side of the windshield. This line should also be 90 degrees.
Step 3: Draw a line connecting the two perpendicular lines, creating a triangle. This line should be 62 degrees.
Step 4: Calculate the two remaining unknown sukutes. To do this, subtract 62 from 180 to get 118 degrees. Then divide this by two to get the two remaining unknown sukutes, which should both be 59 degrees.
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in a survey of a school 300 student favour to play volleyball 200 student favour to play cricket and 110 favour both find the number of students who favour to play cricket only and find the number of student who favour to play either volleyball or cricket
which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
A produce manager inspects large truckloads of potatoes to determine the proportion with major defects (p). She intends to compute a 95% confidence interval for p. To do so, she selects an SRS of 50 potatoes from the more than 2,000 potatoes in the truck. Suppose that only 2 potatoes sampled are found to have major defects.
1. The P-value of her test is:_____.
a. 0.4082.
b. 0.0918.
c. 0.0400.
d. less than 0.0002.
2. Which of the assumptions for inference about a proportion are violated?
a. the data are an SRS from the population of interest.
b. the population is at least 10 times as large as the sample.
c. n is so large that both np0 and n(1-p0) are 10 or more, where p0 is the proportion with major defects if the null hypothesis is true.
d. there appear to be no violations.
3. A 95% plus four confidence interval for the true proportion of potatoes in the truck that have major defects is:____.
a. 0.06±0.026.
b. 0.06±0.051.
c. 0.077±0.026.
d. 0.077±0.051.
Answer:
1. 0.4082
2. The data are an SRS from the population of interest
3. 0.06 +- 0.051
Step-by-step explanation:
Hypothesis testing is carried out to give conclusion about data set. The p value determines whether to accept or reject the null hypothesis. Alternative hypothesis is created against the null hypothesis to test the observation of data.
urgent..
not explanation just answer plzz
Answer:
D 1
Step-by-step explanation:
Please solve this step by step. The winner gets brainliest award. :D
Answer:
538 dollars
Step-by-step explanation:
Principal is 500$ rate is 0.019 time is 4 years so (500)(0.019)(4)500 x 0.019 = 9.59.5 x 4 = 38500 +38 = 538Answer:
539.
Step-by-step explanation:
add 1.9 percent every year, (use this new number to take 1.9 percent out of next time)
1 500
2 509.5
3 519.1805
4\ 539.09678316
What are the answers to this?
Answer:
u should better search the google or this site www.edkasa.edu.pk u will defiantly find the answer.
3. How many solutions are there to the
equation 2x^2 - 3x +12=0? Tell how
you know.
Answer:
If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.
If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:
(-3)^2-4*2*12
=9-96
=-87
Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.
MISTERBRAINLYY!!
The paint in a certain container is sufficient to paint an area equal to 9.375m2. How many bricks of dimensions 22.5cm×10cm×7.5cm can be painted out of this container?
There are three area options for the number of bricks:
4165551250How many bricks can be painted out of a container?
The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:
n = A / A'
A' = w · h
Where:
w - Width of the brick, in centimeters.h - Height of the brick, in centimeters.There are three possible answers:
Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm
A' = 22.5 · 10
A' = 225
n = 93750 / 225
n = 416.667
n = 416
Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm
A' = 22.5 · 7.5
A' = 168.75
n = 93750 / 168.75
n = 555.556
n = 555
Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm
A' = 10 · 7.5
A = 75
n = 93750 / 75
n = 1250
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Please help me I need help
9514 1404 393
Answer:
F. x ≤ -5
Step-by-step explanation:
Translating the diagram to more conventional symbols, we have ...
4x +12 ≤ -8
4x ≤ -20 . . . . . . . subtract 12 from both sides
x ≤ -5 . . . . . . . . . divide both sides by 5
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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What strategy would you use to identify relationships between numerical patterns?
Answer:
A table can be made to to identify relationships between numerical patterns
Step-by-step explanation:
A numerical pattern refers to a sequence of numbers that arranged following some rule. This rule is known as a pattern rule. Relationship between consecutive numbers in the patterns can be described using one or more mathematical operations
A table can be made to identify relationships between numerical patterns. When data is organized in a table, it is easier to find the patterns between numbers or the terms.
4x - y = 3
ax + 10y = 6
Solve for y
Answer:
Step-by-step explanation:
First Question: 4x-y=3
Second Question: ax+10y=6
First Answer: y=3-4x
Step 1: Property of Inequality!
4x-y=3 = (4x-4x) - y=(3-4x)
Step 2: Solve!
4x-4x=0 which leaves us with y=3-4x
Second Answer: y=6/10
Step 1: Property of Inequality!
ax+10y=6 = (ax-ax) + 10y= (6-ax)
Step 2: Solve!
10y=6 which leaves us with y=6/10
Which represents the inverse of the function f(x) = 4x?
Oh(x) =x+4
O h(x) =x-4
O h(x) = 3/4x
O h(x) = =1/2x
Answer:
h(x) = 1/2x f(x) = 4x 4x/2=2xSo,h(x) = 1/2xThe inverse of the function of f(x) = 4x is h(x) = x/4
Inverse of the functionSince f(x) = 4x, to obtain its inverse, we write f(x) = y
So, y = 4x.
We now divide both sides by 4. so, we have
y/4 = 4x/4
y/4 = x
Next, we replace x with y. So,
y/4 = x
x/4 = y
Next, we now replace y with f⁻¹(x) which is the inverse of f(x).
So, y = x/4
f⁻¹(x) = x/4
Since f⁻¹(x) = h(x), replacing these, we have
h(x) = x/4
So, the inverse of the function of f(x) = 4x is h(x) = x/4
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6(2n-8)=12 I need the answer
Answer:
N = 5
Step-by-step explanation:
6 (2n - 8) = 12
12n - 48 = 12
12n = 60
n = 5
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Answer:
5 = n (i think)
Step-by-step explanation:
6(2(5)- 8) = 12
6(10 - 8)= 12
6 (2) = 12
what is the input set of a function called
Answer:
A function is a mathematical device that converts one value to another in a known way. ... The set of allowable inputs to a given function is called the domain of the function. The set of possible outputs is called the range of the function.
Step-by-step explanation:
Hopefully this was mindfull
The input set of a function is called the "Domain" of the function.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
For any function, the values which we are putting form a set of intervals called domain.
For example f(x) = x²
Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.
Hence "The input set of a function is called the "Domain" of the function".
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In an effort to make a healthier product, the Oriental Spice Sauce company has reduced the amount of sodium in their product to 900mg. In addition, the standard deviation of the amount of sodium should be 100. To make sure this new product continues to meet the standard, a random sample of 22 bottles is taken, and the standard deviation for the sample was 161.5829. Is there evidence at α=0.025 that the standard deviation of the sodium content exceeds the desired level? Assume the population is normally distributed.
Answer:
Kindly check explanation
Step-by-step explanation:
Solution:
Null hypothesis = 100
Alternative hypothesis > 100
Obtain the test statistic:
Same size (n) = 22
Sample standard deviation (s) = 161.5829
Population standard deviation (sd) = 100
Using chisquare :
((n - 1) * s²) / sd²
((22-1) × 161.5829²) / 100²
= (21 × 161.5829) / 10000
= 54.828
Using the online p value calculator from chi square:
Degree of freedom = 22 - 1 = 21
Alpha level = 0.025
The p value = 0.000075
Since the p value obtained is very small, and less than 0.025, and shows that result is significant at p < 0.05/2, then we reject the null hypothesis and conclude that the standard deviation of the sodium content exceeds the desired level.
the ice rink sold 95 tickets for a total of 828.00. general admission tickets are $10.00 each and youth tickets are $8.00 each. how many of each did they sell
Answer:
GA =34
Y = 61
Step-by-step explanation:
GA= GENERAL ADMISSION =$10
Y= YOUTH =$8
GA+Y= 95
GA=95-Y
10GA+8Y=828
10(95-Y)+8Y=828
950-10Y+8Y=828
-2Y= 122 MULTIPLY BY (-1)
2Y= 122
Y= 61
GA= 34
There were 61 youth tickets sold and 34 general admission tickets
Fred bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many cards did Fred start with ?
Helpp I need this todayyyyyy
Answer:
86 - 9 = 77
Step-by-step explanation:
Follow the guided instructions below to create the line of reflection that would map the pink figure onto the blue figure.
Answer:
Slope of one of the dotted lines:
\(y=x\) or \(y=x+5\)
Slope of the line of reflection:
\(y=-x\)
Step-by-step explanation:
When seeing the dotted lines, both of them have a rise & run of 1, indicating that y = x. However, one of the lines has a y-intercept of 5, making it y = x + 5. So, the slopes for the dotted lines are \(y=x\) or \(y=x+5\).
The line of reflection has a rise & run of -1, and goes through the origin, indicating that the equation is y = -x.
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!