The percentage of 0 - 17 in 2015 is 23.97% and the percentage is decreasing by 0.048% in 2015
The percentage of 0 - 17 in 2015The equation of the function is given as
P(x) = 26x^-0.03
In 2015, x = 15
Substitute x = 15 in the equation P(x) = 26x^-0.03
P(15) = 26 * 15^-0.03
Evaluate the expression
P(15) = 23.97
Hence, the percentage of 0 - 17 in 2015 is 23.97%
How fast is the percentage decreasing in 2015The equation of the function is given as
P(x) = 26x^-0.03
Differentiate the function
P'(x) = -0.03 * 26x^-1.03
In 2015, x = 15
Substitute x = 15 in the equation
P'(15) = -0.03 * 26 * 15^-1.03
Evaluate
P'(15) = -0.048
Hence, the percentage is decreasing by 0.048% in 2015
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How many edges dose the following shape have?
Which is the following is an incorrect way to label the line in the diagram below?
Answer:
line T
Step-by-step explanation:
Don't quote me on this, but I've never seen a t lookin like that on a plot. plus, if it was line DEF that would make line DF incorrect too. so yeah it's most likely line t.
Archaeology: Tree Rings. At Burnt Mesa Pueblo, the method of tree-ring dating gave the following years A.D. for an archaeological excavation site: 1189, 1271, 1267, 1272, 1268, 1316, 1275, 1317, 1275. Find a 90% confidence interval for the mean of all tree ring dates from this archeological site.
After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)
What is standard deviation?A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.
Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):
t = t(0.05, 8) = 1.860
Now we can calculate the lower and upper bounds of the confidence interval:
Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)
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help? im 6th grade and i dont know.
Match the vocabulary word to its correct definition
1. arithmetic sequence
an individual quantity or number in
a sequence
the fixed amount added on to get
2. common difference
to the next term in an arithmetic
sequence
a sequence in which a fixed
3. sequence
amount is added on to get the next term
a set of numbers that follow a
4 term
pattern, with a specific first number
Answer:
1. Term.
2. Common difference.
3. Arithmetic sequence.
4. Sequence.
Step-by-step explanation:
1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.
2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).
3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.
4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.
cellus
Solve for 43.
43 = ?
43 44=90°
Enter
Answer:
\( \displaystyle \angle3 = {90}^{ \circ} \)
Step-by-step explanation:
we are given two angles
we are want to figure out the missing angle
remember,
Straight line theorem
so we acquire
\( \displaystyle \angle3 + \angle4 = {180}^{ \circ} \)
substitute the value of the given angle:
\( \displaystyle \angle3 + {90}^{ \circ} = {180}^{ \circ} \)
cancel 90° from both sides:
\( \displaystyle \angle3 = {90}^{ \circ} \)
hence, the measure of the missing angle is 90°
Answer:
Solution given:
<4=90°
<3+<4=180°[sum of pair of line is supplementary]
<3=180°-90°
<3=90°is a required answer.
13. The diagram shows the support bracket for a restaurant sign. AB=60 cm, AC=109 cm and ZBAD=41°. A 41° 109 cm 60 cm NOT TO SCALE B С D THE BROTHERS CONCH DINNERS Calculate (a) the length of BC [3] [3] (b) the angle C (c) [3] the length of AD
Answer:
(a) BC = 91 cm
(b) ∠C = 33.4° (nearest tenth)
(c) AD = 79.5 cm (nearest tenth)
Step-by-step explanation:
(a) Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = AB = 60 cmb = BCc = AC = 109 cm⇒ 60² + BC² = 109²
⇒ 3600 + BC² = 11881
⇒ BC² = 11881 - 3600
⇒ BC² = 8281
⇒ BC = √(8281)
⇒ BC = 91 cm
(b) Sine rule to find an angle:
\(\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)
(where A, B and C are the angles, and a, b and c are the sides opposite the angles)
Given:
∠B = 90°b = AC = 109 cmc = AB = 60 cm\(\implies \dfrac{\sin (90)}{109}=\dfrac{\sin C}{60}\)
\(\implies \sin C=60 \cdot\dfrac{\sin (90)}{109}\)
\(\implies \sin C=\dfrac{60}{109}\)
\(\implies C=33.39848847...\textdegree\)
\(\implies C=33.4\textdegree \ \sf(nearest \ tenth)\)
(c) Sine rule to find a side length:
\(\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)
(where A, B and C are the angles, and a, b and c are the sides opposite the angles)
Sum of interior angles of a triangle = 180°
Given:
∠B = 90°b = AD∠D= 180° - 41° - 90° = 49°d = AB = 60 cm\(\implies \dfrac{AD}{\sin (90)}=\dfrac{60}{\sin (49)}\)
\(\implies AD=\sin (90) \cdot \dfrac{60}{\sin (49)}\)
\(\implies AD=79.5007796...\)
\(\implies AD=79.5 \ \sf cm \ (nearest \ tenth)\)
Given f(x) = 2x + 8 and g(x) = -4x -20, find (f.g)(x)
hello
this question can be referred to as a function of function
\(\begin{gathered} f(x)=2x+8 \\ g(x)=-4x-20 \\ f\mathrm{}g=(2x+8)(-4x-20) \\ f\mathrm{}g=8x^2-40x-32x-160 \\ f\mathrm{}g=8x^2-72x-160 \\ we\text{ can divide through by 8} \\ f\mathrm{}g=x^2-9x-20 \end{gathered}\)determine what doesn't lie in the domain of g(x)=square root 2x-7
For the function g (x) = √ 2 x - 7, the elements that are not included in the domain are ( - ∞, 3.5).
We are given a function:
g (x) = √ 2 x - 7
Now, we need to find what all does not lie in the domain of this function.
For this, we first need to find the domain of the function.
We know that, a square root cannot be negative.
So, we get that:
2 x - 7 ≥ 0
Add 7 to both the sides:
2 x - 7 + 7 ≥ 0 + 7
2 x ≥ 7
Divide both sides by 2:
2 x / 2 ≥ 7 / 2
x ≥ 3.5
Domain = x ≥ 3.5 = [3.5, ∞)
Elements not included in the domain = R - [3.5, ∞) = ( - ∞, 3.5)
Therefore, we get that, for the function g (x) = √ 2 x - 7, the elements that are not included in the domain are ( - ∞, 3.5).
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For what value of x is the figure the given special parallelogram?
The values of x for each of the given scenarios are as follows;
4. x = 12.5. x = 1.6. x = 7.7. x = 8.What values of x in each case are correct?Definition; The diagonals of a rhombus are perpendicular bisectors of the opposite vertex angles. Also, a right angle is formed at the point of intersection of a rhombus.
For a rectangle, the angle measure at all vertices of a rectangle is; 90°. Also, the diagonals of a rectangle have equal lengths.
The solutions are therefore as follows;
For questions 4;
2x + 39 = 6x - 9; 48 = 4x; x = 12.For Question 5;
8x + 3 = 4x + 7; 4x = 4; x = 1.For Question 6;
8x + 7 + 3x + 6 = 90; 11x = 77; x = 7.For Question 7;
5x + 2 + 3x = 90; 8x = 88; x = 11.Read more on plane shapes;
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What's 5x5+6x3-1
Me brain is no working, please help
Answer:
42
Step-by-step explanation:
5*5+6*3-1
25+6*3-1
25+18-1
43-1
=42
I hope this helped, please give me Brainliest if it did. :)
What is the first step you would take to solve the equation shown? n/4 - 4 = -12. Add 4. Subtract 4. Multiply by 4. Divide by 4 WHO EVER ANSWERS I WILL MARK BRAINLIEST
Answer:
Divide by 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Fractions can get messy.
I like to clear fractions, so I would multiply both sides by 4
n - 16 = -48 multiple by 4
n = -48 + 16 add 16 to both sides
n = -32 collecting terms
HELP ASAP DUE IN 5 MIN I WILL GIVE 15 POINTS QND MARK BRAINLIEST DO NOT SPAM As a kitten, Mittens weighed 2 3/4 pounds. At his 6-month check-up with the vet, Mittens weighed 6.5 pounds. How much weight did Mittens gain between the time he was a kitten and his 6-month check-up? Enter your answer as a decimal or simplified mixed number in the box.
Answer:
3.75
Step-by-step explanation:
Answer:
3.75
Step-by-step explanation:
Hope this helps
Have a great and blessed day :)
select the Expressions that are equivalent to 7 * 2 G
A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?
A store sells 5 oranges and 10 apples.
What is the cost amount?
The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.
Here, we have
Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.
We have to determine how many of each type of fruit were sold.
We, let the oranges be x.
let the apples be y.
x + y = 15...(1)
1x + 2y = 25...(2)
We subtract equation(2) from equation(1), we get
y = 10
Now we put the value of y in equation (1) and we get
x + 10 = 15
x= 5
Hence, a store sells 5 oranges and 10 apples.
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What is the divisor the dividend is 5/9
Answer
5/9 is the dividend
Step-by-step explanation:
Can someone help me please :) thanks
Answer:
Step-by-step explanation:
0 + 10 + 6 + 3 + 10 + 10 =
10 + 9 + 20 = $30
The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
1.5 > x > 4
1.5 < x < 4
1.5 ≤ x ≤ 4
1.5 ≥ x ≥ 4
The normal range using a compound inequality is 1.5 < x < 4
How to model the normal range using a compound inequality.From the question, we have the following parameters that can be used in our computation:
pH values less than 4
pH values greater than 1.5
Represent the pH values with x
Using the above as a guide, we have the following:
x is less than 4
x is greater than 1.5
When represented as inequality, we have
x < 4 and x > 1.5
Combine the inequalities
1.5 < x < 4
Hence, the normal range is 1.5 < x < 4
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Clarksville Middle School spends $14 for every workbook it buys. At most how many workbooks can Clarksville Middle School buy if it has $28 to spend? workbooks
Answer
coochie man
Step-by-step explanation:
Convert the equation f(t) = 227e b= -0.09€ to the form f(t) = ab* Give answers accurate to three decimal places
Help and you get pts
The line graph (C) represents the data representation on the line plot option (C) is correct.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
We have data shown in the table:
The data set value 11 repeated two times, so two dots we will see on the line plot.
The data set value 11(1/2) repeated one time, so one dot we will see on the line plot.
The data set value 11(3/4) repeated two times, so two dots we will see on the line plot.
The data set value 12 repeated two times, so two dots we will see on the line plot.
Similarly, we can check for others.
Thus, the line graph (C) represents the data representation on the line plot option (C) is correct.
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Javier uses 1/8 teaspoon of nutmug for each loaf of banana bread he makes. How many loaves of banana bread can javier make with 4 teaspoons of nutmug?
Javier can make 32 loaves of banana bread with 4 teaspoons of nutmeg.
How many loaves of banana bread can Javier make with 4 teaspoons of nutmeg?To know how many loaves he can make with 4 teaspoons of nutmeg, we need to divide the total amount of nutmeg by the amount used per loaf.
Given data:
1/8 teaspoon is used for each loaf of banana bread.
4 teaspoons of nutmeg is available.
We will use the following equation:
The number of loaves will be:
= (Total amount of nutmeg) / (Amount of nutmeg used per loaf)
= 4 teaspoons / (1/8 teaspoon)
= 4 teaspoons * (8/1 teaspoon)
= 32 teaspoons.
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Mr. Black bought a television set for $450.00. He later sold the television set at a loss of 30%. (a) Calculate the amount of the loss.
The amount of the loss exists 1350.
What is the amount of loss?
Amount of Loss means an amount equivalent to the outstanding balance of the principal amount, less any amounts recognized by perfecting rights under a security agreement, together with such interest as the executive director shall permit, to a maximum of such interest as may be permitted by rule.
Given: Mr. Black purchased a television set for $450.00. He subsequently sold the television set at a defeat of 30%.
From the given information, we get
\($4500\cdot \frac{30}{100}\)
simplifying, we get
\($4500\cdot \frac{30}{100}\)
= 1350
Therefore, the amount of the loss exists 1350.
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The average horse requires 0.0333 Megacalories (Mcal) each day for every kilogram (kg) it weighs. If your horse weights 678 kg, and the food you are buying provides 810 kcal per pound of food, how many pounds of food do you need each day for your horse?
Use the following facts:
1000 kcal = 1 Mcal
1 pound food = 810 kcal
0.0333 Mcal = 1 kg horse
Round to the nearest whole number.
On solving the provided question, we can say that Therefore, you would need multiply approximately 27.84 pounds of food each day for your horse.
what is multiplyOne of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."
First, we need to convert the weight of the horse from kilograms to pounds, so:
678 kg x 2.20462 lbs/kg = 1495.69 lbs
Next, we need to calculate how many Mcal the horse needs per day:
0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day
Then, we can convert the Mcal to kcal:
22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day
Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:
22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day
Therefore, you would need approximately 27.84 pounds of food each day for your horse.
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The area of a square field is 14400 sq. metre. Find the length of the side
of the square.
Answer:
side = 120 metre
Step-by-step explanation:
here's your solution
=> Area of square = 14400 sq.metre
=> Area of square = side^2
=> side^2 = 14400 sq.metre
=> side = √14400
=> side = 120 metre
hope it helps
Solve the following equation for y to find the slope and the y-intercept: 2y - x = 6
Step-by-step explanation:
2y - x = 6
2y = x + 6
y = (x + 6) / 2
the slope is 1 and the y int is 3
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
A how air ballon roses 474 feet. It then descends 130 feet. Find the elevation of the ballon is it started at sea levels.
Answer:
344 feet
Step-by-step explanation:
474-130=344
Write an equation for the function graphed below
f(x) = 12(x - 1)/[(x + 2)(x - 3)] is the equation of the function graphed as in the figure. This can be obtained using the formula of f(x) = P(X)/Q(X) by vertical asymptotes and factors of the polynomial.
Write an equation for the function:Let where P(X) and Q(X) are polynomial function.
The function has the following:
From the given graph, we can say that the vertical asymptotes x = - 2 and x = 3, this means that at values of x = -3 or x = 2, the denominator becomes zero and the function becomes undefined.This means that, -3 and 2 are roots of the denominator. Thus, the equation of the denominator is:
⇒ Q(X) = (x + 2)(x - 3)
From the given graph, we can say that the zero is 3, P(X) has the factor (x - 3)
Let a be the leading coefficient of P(X)
⇒ P(X) = a(x - 1)
Now for finding the value of a we can rewrite the equation as,
⇒ f(x) = P(X)/Q(X)
⇒ f(x) = a(x - 1)/[(x + 2)(x - 3)]
⇒ f(0) = a(0 - 1)/[(0 + 2)(0 - 3)]
Since from the graph we can say that the y-intercept is (0, - 2), this means that when x = 0, y = -2, f(0) = - 2
⇒ - 2 = -a/[(2)(- 3)]
⇒ a = - 2 × 2 × 3
⇒ a = - 12
By putting a = -12 in f(x) we get,
⇒ f(x) = 12(x - 1)/[(x + 2)(x - 3)]
Hence f(x) = 12(x - 1)/[(x + 2)(x - 3)] is the equation of the function graphed as in the figure.
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Patrick managed to sell the 20th most bicycles last year of all the salespeople at the company.He also managed to sell the 20th least bicycles last year of all the salespeople at that company.How many salespeople were there at that company?Assume that no one sold the same number of bicycles than another
definitely missing a number so it's prolly something like
a/20=20
sorry if this doesn't help you didn't give us much to work on