Answer:
40
Step-by-step explanation:
Quadrilateral QRSU forms a euclidean kite this means PR would be 2(mST)
Using letter grades (A, B, C, D, and E) to classify student performance on an exam is an example of measurement on a(n) _______ scale of measurement.a) ratiob) ordinal c) nominal d) interval
A ratio scale is used for measurements that have both a meaningful zero point and also an equal interval between each point. An ordinal scale is used for measurements that rank order items from highest to lowest. A nominal scale is used for measurements that have categories without any order. An interval scale is used for measurements that have an equal interval between each point but do not have a meaningful zero point.
A ratio scale is used for measurements that have both a meaningful zero point and also an equal interval between each point. It is often used for measurements that involve numbers, such as temperature or length. An ordinal scale is used for measurements that rank order items from highest to lowest. This type of measurement can be used to classify student performance on an exam, such as with letter grades (A, B, C, D, and E). A nominal scale is used for measurements that have categories without any order. This is typically used for measurements that involve assigning names or labels to categories, such as gender or ethnicity. An interval scale is used for measurements that have an equal interval between each point but do not have a meaningful zero point. This type of measurement is often used for measurements that involve numbers, such as temperature or time. In this example of classifying student performance on an exam, the ordinal scale is the most appropriate measurement to use.
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How many fish (angelfish and eels) are there?
Number of Animals
25
20
15
10
5
0
Science Museum Water Exhibit
Snakes Turtles Angelfish
Animal
Eels
The number of fish, including angelfish and eels that are shown by the bar graph, can be found to be 45 fish .
How to find the number of fish ?The science museum water exhibit bar graph shows the number of animals that are in the water exhibit in the museum.
We see that there are 15 snakes, 10 Turtles, 25 Angelfish, and 20 eels.
If we are to find the number of fish in the science museum water exhibit, all we need to do is to sum up the number of Angelfish and Eels. Doing this sum would add up to :
= 25 Angelfish + 20 eels
= 45 fish
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The answer is what I need to know please help me.
The first term of a geometric sequence is 5 and the multiplier, or ratio, is –2. What is the sum of the first 5 terms of the sequence?
Step-by-step explanation:
s1 = 5
s2 = s1 × -2 = 5×-2 = -10
s3 = s2 × -2 = -10 × -2 = 20
...
now, we could do all that manually.
but there is also a formula for geometric sequence.
in fact, there are 2 - one for finite and one for infinite sequences.
and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.
since we need the sum of the first 5 terms, which of the 2 do you think we need ?
of course, finite, because 5 is a normal number we can "touch". it is not infinity.
so, the formulas for finite sums of geometric sequences are :
if |r| < 1, Sn = a(1 - r^n)/(1 - r)
if |r| > 1, Sn = a(r^n - 1)/(r - 1)
if r = 1, Sn = na
if r = -1, then Sn = a or 0 depending on if n is odd or even.
the sequence is in general
s1 = a
sn = sn-1 × r
in our case a = 5, r = -2.
so, what form of the formula do we need ?
|-2| = 2, and 2 > 1, so ...
S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =
= 5 × 11 = 55
quick check, as the 5 terms are
5
-10
20
-40
80
and their sum is : 55
correct !
Find the product: -4/9 and -3/8
Answer:
1/6
Step-by-step explanation:
-4/9 * -3/8
= 1/6......
ignoring the constant of integration, we can integrate the left hand side of the equation to obtain integral below. (remember to use absolute values where appropriate.) 1/y dy = ln(|y|)
y₂ = 1.5 is the equation to obtain integral below.
What are an example of integration?
Compared to distinction, integration is the opposite.
In other words, integration results from reversing the differentiation process.
The example below demonstrates it: dy/dx = 2x since y = x2 Consequently, dx and dy go hand in hand and signify the integration of the function with respect to x. They are written as (dy/dx) dx = 2x dx = x2.
y(1) = 2
Xo = 1 and Yo = 2
x₁ = x₀ + h = 1 + 1/2 = 3/2
y₁ = y(x₁) = y( 3/2)
= y₀ + hf ( x₀ , y₀ )
= 2 + 1/2 . f ( 1,2 )
= 2 + 1/2 ( 2 - 2 ) = 2
y₁ = 2
x₂ = x₁ + h = 3/2 + 1/2 = 2
y₂ = y(x₂ ) = y(2)
= y₁ + h . f ( x₁ , y₁ )
= 2 + 1/2 . f ( 3/2 ,2 )
= 2 + 1/2 ( 2 - 3 )
y₂ = 1.5
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What is the domain of the exponential function?
\(y=2^{x}+6\)
The domain of the exponential function is all real numbers.
The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.
For the exponential function y = 2ˣ + 6, the domain includes all real numbers.
This is because there are no restrictions on the input values that can be plugged into the function.
We can take any real number x, substitute it into the expression 2ˣ, and then add 6 to get a corresponding output value y.
Hence, the domain of the exponential function is all real numbers.
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Joseph and Deb deposit $600.00 into a savings account which earns 5% interest compounded
continuously. They want to use the money in the account to go on a trip in 1 year. How much
will they be able to spend?
Round your answer to the nearest cent.
Answer:
We can use the formula for continuous compound interest to find the balance in Joseph and Deb's savings account after 1 year:
A = Pe^(rt)
where A is the balance, P is the principal (initial deposit), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.
Substituting the given values, we get:
A = $600.00e^(0.05*1)
Using a calculator, we get:
A ≈ $632.57
Therefore, Joseph and Deb will have approximately $632.57 in their savings account after 1 year. They can spend up to this amount on their trip. Rounded to the nearest cent, the answer is $632.57.
Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if necessary.
Using the Intersecting secants theorem, the length of JK in the given diagram is 17
Intersecting secants theorem: Calculating the length of of JKFrom the question, we are to determine the length of JK in the given diagram.
The diagram shows a circle with intersecting secants.
From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".
Then,
We can write that
JK × KL = NM × ML
From the given diagram,
KL = 14
NM = 14
ML = 17
Substituting the values
JK × 14 = 14 × 17
JK = (14 × 17) / 14
JK = 17
Hence, the length of JK is 17
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Find the value of each variable in the parallelogram.5u – 10162u + 2V3U =0V=
The diagonals of a parallelogram bisect each other. It means the segments, after bisection, are equal to each other.
From the figure, we can write:
\(\begin{gathered} 2u+2=5u-10 \\ \text{and} \\ 6=\frac{v}{3} \end{gathered}\)We can solve the first equation and get the value of u:
\(\begin{gathered} 2u+2=5u-10 \\ 2+10=5u-2u \\ 12=3u \\ u=\frac{12}{3} \\ u=4 \end{gathered}\)Solving the second equation, we find the value of v:
\(\begin{gathered} 6=\frac{v}{3} \\ 6\times3=v \\ v=18 \end{gathered}\)Answer:
u = 4v = 18Theprofit(indollars)earnedbysellingwappletreesisrepresentedby w2 − 4w + 14. The profit (in dollars) earned by selling w pear trees is
represented by 2w + 10. Write a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
The profit earned by selling w pear trees is 2w + 10
To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:
\((w^2 - 4w + 14) - (2w + 10)\)
Simplifying the expression:
\(w^2 - 6w + 4\)
Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).
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which of the following best defines alternate interior angles?
1) non-adjacent angles formed by the intersection of two lines
2) adjacent angles that form a right angle
3) adjacent angles that form a straight angle
4) angles on the same side of a transversal and in the same position related to parallel lines
Answer:
its a
Step-by-step explanation:
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2. The table represents equivalent ratios. What is the missing value of x in the table? (1 point)
xy
8 4
? 3
42
2 1
9
7
6
5
There is no proportional relationship between x and y.
No, all ratios yx are not equivalent.
We have,
"Two or more number or variable are said to be in proportion if the ratio between them are equivalent to each other."
According to the question,
Given x : 8 , 10, 12, 14
y : 5, 7, 9, 11
Ratio between different values of x and y are not equivalent
( 8 /5) ≠ (10 / 7)≠ (12 /9) ≠(14 /11)
We conclude there is no proportional relationship between x and y.
Hence, Option(1) is the correct answer.
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complete question:
Is there a proportional relationship between x and y? Explain.
x 8 10 12 14
y 5 7 9 11
1. No; all ratios yx are not equivalent.
2.Yes; each x value and y value increases by 2.
3.Yes; the difference between each x value and y value is 3.
4.No; all ratios xy are greater than 1.
Colton’s gym chargers an intuition Fee of $40 pulse a monthly fee of $50. Write and solve an equation to find how many months you can join the gym if you want to spend $1240
Answer:
24
Step-by-step explanation:
40 + 50x = 1240
50x = 1200
x = 24
Answer:
24
Step-by-step explanation:
1240 - 40 =1200
1200 divided by 50 is 24
Write the expression (see image) in the form k sin (x+0) (see image)
The expression -√3 sin x + cos x in the desired form k sin(x+0), where k = -1.732 and 0 = π/2. Therefore, -√3 sin x + cos x = -1.732 sin(x+π/2)
How to explain the expressionWe can start by trying to write the expression in the form k sin(x+0), where k is some constant and 0 is an angle. To do this, we'll need to use some trigonometric identities.
First, note that -√3 is the same as -1.732, which is the negative square root of 3.
Next, we can use the identity sin(a+b) = sin(a)cos(b) + cos(a)sin(b) to write:
-1.732 sin(x) + cos(x)
= -1.732 sin(x) + 1 sin(x + π/2)
= sin(x + π/2) (-1.732 cos(π/2) + 1 sin(π/2))
= sin(x + π/2) (-1.7320 + 11)
= sin(x + π/2) (-1.732)
So we have expressed the expression -√3 sin x + cos x in the desired form k sin(x+0), where k = -1.732 and 0 = π/2. Therefore, -√3 sin x + cos x = -1.732 sin(x+π/2)
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if cos theta = 3/5 and theta is in quadrant 4, tan 2 theta =
Answer:
16/9.
Step-by-step explanation:
I am assuming you mean tan^2 theta.
The adjacent side of the triangle drawn in Q 4 = 3 (as cos theta = 3/5.
The opposite side of the triangle drawn in Q 4 = sqrt(5^2-3^2) = 4.
The tangent is negative in Q 4
So tan theta = -4/3.
tan^2 theta = 16/9.
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
(100+?)/100=10
How do I work this out?
Answer:
? = 900
Step-by-step explanation:
lets change ? to x
(100 + x) / 100 = 10
we will substitute /100
(100 + x) /100 · 100 = 10 · 100
100 + x = 1000
we substitute +100
100 + x -100 = 1000 - 100
x = 900
hope this helps =D happy learning!!
Factor of 15x - 20y
Answer:
0
Step-by-step explanation: Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20y' to each side of the equation.
15x + 20y + -20y = 0 + -20y
Combine like terms: 20y + -20y = 0
15x + 0 = 0 + -20y
15x = 0 + -20y
Remove the zero:
15x = -20y
Divide each side by '15'.
x = -1.333333333y
Simplifying
x = -1.333333333y
Which mathematical figure has length but no beginning or end?
O a point
O a segment
O a line
O a ray
Mailani saves some money in a box under her bed. She deposits an additional amount into a savings account where it earns interest compounded annually. This situation can be modeled by the function . Which statement is true? Select all that apply.
The correct statements are:
Mailani saves $200 in a box under her bed.The y-intercept of the function is (0, 700).Explanation:
The function f(x) represents the total amount of money that Mailani has saved after x years. The first term 500 represents the initial amount she saved in the box under her bed, and the second term (1+0.04)^x represents the amount she deposited into the savings account, which earns an interest rate of 4% compounded annually. The third term +200 represents the additional amount she deposited every year into the savings account.
The range of the function is y>=500, since the initial amount saved is 500, and the function is increasing with time.The y-intercept of the function is (0, 700), not (0, 200), because the initial amount saved in the box is 500, and the additional amount deposited into the savings account is 200 per year, so after 0 years, the total saved amount is 500+200=700.The function does not have an asymptote at y=200. An asymptote is a line that a graph approaches but never touches. In this case, the function is increasing with time, so it does not approach any line as x gets larger.Learn more about asymptote here brainly.com/question/4084552
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Full question:
Mailani saves some money in a box under her bed. She deposits an additional amount into a savings account where it earns interest compounded annually. . This situation can be modeled by the function
\(f(x)= 500(1+0.04)^x+200\)
Which statements are true? Select all that apply.
The range of the function is y>=0Mailani saves $200 in a box under her bed.The y-intercept of the function is (0, 200).The function has an asymptote at y = 200.The difference of two integers is 5. The smaller integer, x, is 4
more than half of the larger integer, y.
Write an equation to represent
the difference of the two integers.
Answer: You are probably overthinking this. It is simply Y-X=5. The other infromation does not matter to this specific question.
Hope this is what your looking for:)
DIRECTIONS: Circle the analogy that BEST matches the bold words.
1. QUART: GALLON
a) centimeter: meter
b) quart: cups
c) four: five
d) quarter: dollar
4. PENTAGON : POLYGON
a) rice : grain
b) aircraft: plane
c) five : sides
d) rhombus: circle
2. TRIMESTER : MONTHS
a) book: chapters
b) three: period
c) days: week
d) yearly: weekly
5. TRIDENT: THREE
a) spear : fork
b) Poseidon : Zeus
c) fishing : tool
d) duplex: two
Answer:
1. d)
4.a)
2.a)
5.d)
Step-by-step explanation:
2. The side lengths of a square measure 25.3 cm. Estimate the area of the
square.
about 25 sq. ft.
about 50 sq. ft.
about 500 sq. ft.
about 625 sq. ft
Answer:
625 sq ft.
Step-by-step explanation:
25 cm is close to 25.3 so our estimate is 25 * 25 = 625.
Charges for advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is a percentage of the population of 110 million TV households. The CBS television show 60 Minutes recently had a rating of 7.8, indicating that 7.8% of the households were tuned to that show. An advertiser conducts an independent survey of 100 households and finds that at least b+1 were tuned to 60 Minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting at least 5+1 tuned to
60 Minutes.
The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.
How to calculate the probabilityP(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)
P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)
Using a calculator or software, we can find that:
P(X <= 4) = 0.000203
This means that the probability is 0.02%.
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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?
Geometric mean and Harmonic mean for the values 3, -11, 0, 63, -14, 100 are
Select one:
a. 0 and 0
b. 3 and -3
c. 3 and 0
d. Impossible
e. 0 and 3
Note: Answer C is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.
The correct answer is an option (d): Impossible.
Both the geometric mean and harmonic mean require positive values. However, in the given set of values, we have negative values (-11 and -14), which makes it impossible to calculate the geometric mean and harmonic mean. Therefore, the correct answer is that it is impossible to calculate the geometric mean and harmonic mean for the given values.
I bought some 60-cent candy bars with c dollars. Then I ate n of them. how many candy bars do I have left?
Thank you!!!!
Answer:
Step-by-step explanation:
60 divided by c-n=how many you have left
If you subtract 12 from my number and multiply the difference by - 5, the result is -90." What is Sara's number?
Answer:
30
Step-by-step explanation:
Do the steps in reverse
-90 divided by -5 = 18
18 + 12 = 30
Your answer is 30
Hope I helped :)
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A textbook store sold a combined total of 460 physics and math textbooks in a week. The number of math textbooks sold was 62 less than the number of physics textbooks sold. How many textbooks of each type were sold?
Number of physics textbooks sold was 261 & number of maths textbooks sold was 199.
Let, the number of physics textbooks sold = x
According to the question,
The number of math textbooks sold was 62 less than the number of physics textbooks sold.
So, Number of maths textbooks sold = x-62
The textbook store sold a combined total of 460 physics and math textbooks in a week.
So, the equation becomes,
(x-62)+x = 460
⇒ x-62+x = 460
⇒ 2x-62 = 460
⇒ 2x = 460+62
⇒ 2x = 522
⇒ x = 522/2
⇒ x = 261
So, 261 physics textbooks were sold
(261-62) = 199 maths textbooks were sold.
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Solve the two simultaneous equations.
You must show all your working.
3t+2p=15.5
5t+4p=28.5
Answer:
Given equations are,
5x+2y=−2 (1)
3x−5y=17.4 (2)
Multiply equation (1) by 5 and equation (2) by 2, we get,
5(5x+2y)=5×−2
∴25x+10y=−10 (3)
2(3x−5y)=2×17.4
∴6x−10y=34.8 (4)
Adding equations (3) and (4), we get,
31x=24.8
∴x=
31
24.8
Put this value in equation (1), we get,
5(
31
24.8
)+2y=−2
∴
31
124
+2y=−2
∴2y=−2−
31
124
∴2y=
31
−186
∴y=
31
−93
Step-by-step explanation: