Answer:
8 teaspoons of vanilla
15 cups of flour
Step-by-step explanation:
Since 20 is 4 x 5
And the flour and vanilla has to be proportionate, You also have to multiply 2 tablespoons of vanilla by 4
4 x 2 = 8
Same with the last question
Is -46x-23 = 46x+23 an infinite solution
Answer:
There is only 1 solution, and it is ½
Step-by-step explanation:
-46x - 23 = 46x + 23
46x + 46x = 23 + 23
92x = 46
x = 46 / 92
x = ½
On the number line above, points A, B, C, and D are integers, and AB: BC: CD = 3:2:1. What is the length of AC?
Using proportions, it is found that the length of AC is of 15 units.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The ratios in this problem are given as follows:
[tex]\frac{AB}{BC} = \frac{3}{2}[/tex].[tex]\frac{BC}{CD} = \frac{2}{1}[/tex].[tex]\frac{AB}{CD} = \frac{3}{1}[/tex].The entire length is of 18 units, AB is half of that, hence:
AB = 0.5 x 18 = 9 units.
BC is two thirds of the length from 6 to 15, hence:
BC = 2/3 x (15 - 6) = 6
Thus, the length of AC is:
AC = 9 + 6 = 15 units.
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In a certain chemical, a ratio of zinc to copper is 4 to 11 . A jar of the chemicals contains 319 copper. How many grams of zinc does it contain?
Answer:
116
Step-by-step explanation:
zinc : copper
4 : 11
11 = 319
zinc = 4 / 11 * 319
Zinc = 116
Cual es el valor de A si 900 es el 130% de A
El valor del número A es 692.31.
PercentageThe percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the following example:
[tex]\frac{50}{100} =0.5*100=50%[/tex]
The percentage is considered a math tool with several applications and areas, for example: medicine, engineering, investments, supermarkets, drugstores,banks etc.
The exercise asks you the value of A and it gives you the value (900) that represents 130%A. Thus, you should write an equality between the division the percentage and the variable A by 100 with the value 900.
You should follow the steps below.
[tex]\frac{130*A}{100}=900\\ \\ 130A=90000\\ \\ A=\frac{90000}{130} =692.31[/tex]
You can check the result : [tex]\frac{692.31*130}{100} =\frac{90000.3}{100} =900.003=900[/tex]
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The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the breakrooms. She considers two methods of obtaining a sample of 600 employees from the 4,700 employees at the company.
Part A: To make the process easier, the CEO considers surveying the first 600 employees who enter a company annual conference center. Identify the type of sampling method proposed and discuss why this sampling method might be biased. (5 points)
Part B: The second method the CEO is contemplating involves using a random number generator app to choose a simple random sample of 600 employees from a list of 4,700 employee names. How could she implement this method? (5 points)
The type of sampling method proposed is a convenience sampling because it's a non-probability sampling method.
What is convenience sampling?Convenience sampling can be defined as a type of non-probability sampling method which involves surveying and selecting representatives that are easily accessible.
The CEO could implement the second sampling method as follows:
Assign a serial number to each employees of the total 4,700 employee names.Use a random number generator software to obtain 600 random numbers.The 600 random numbers in Step 2 above forms the desired sample of 600 employees out of 4,700 employees at the company.Read more on convenience sampling here: https://brainly.com/question/1445924
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When the absolute value of slope gets bigger the graph of the line gets ???
will give brainliest please help
Answer:
A. 7x + 3x = 10x, B. 6s - 3s + 4s = 7s, C. 4T - 6T = -2T, D. 4xy + 3xy + x = 7xy + x, E. (6x) ^2 = 36x^2, F. 6x/2x = 3.
Step-by-step explanation:
A. explanation: Add 7x and 3x. B. explanation: Simplify the expression. C. explanation: Subtract 6T from 4T. D. explanation: Add 4xy and 3xy. E. explanation: Simplify the explanation. F. explanation: Simplify the expression.
Answer: give her brainliest
Step-by-step explanation:
hey mackenzie :)
Savings account at a bank pays 5% simple interest in account at Bank B pays 2% compounded interest the table shows the balance in each account after an initial deposit of $1000 which describes the balance after a long period of time
Answer:
The balance in Bank B will be greater.
Step-by-step explanation:
Because simple interest is just interest on the principle only which is 50 every year doesn't change but with compound interest you will get 2% Interest every year. principle+interest
1. Find the domain and range of the function
f(x)=√1-4x².
[tex]f(x) = \sqrt{1 - 4{ x}^{2} } [/tex]
[tex]1 - 4x {}^{2} \geqslant 0[/tex]
[tex] - \infty \: \: \: \: \: \: \: \: - 0.5 \: \: \: \: \: \: \: \: \: 0.5 \: \: \: \: \: \: \: \: \infty \\ - \: \: \: \: \: \: \: \: \: \: \: \: \: \:0 \: \: \: \: \: + \: \: \: \:0 \: \: \: \: \: - [/tex]
[tex]domain \\ [ \: -0.5 \: , \: 0.5 \: ][/tex]
[tex]g(x) = 1 - 4x {}^{2} \\ g'(x) = - 8x \\ g'(x) = 0 \\ x = 0 \\ g(0) = 1 - 4(0) = 1 \\ maximum \: = 1[/tex]
[tex]range \\ [ \: 0 \: , \: 1 \: ][/tex]
Answer:
[tex]\textsf{Domain}: \quad \left[-\dfrac{1}{2}, \dfrac{1}{2}\right][/tex]
[tex]\textsf{Range}: \quad [0, 1][/tex]
Step-by-step explanation:
Domain: set of all possible input values (x-values)
Range: set of all possible output values (y-values)
Given function:
[tex]f(x)=\sqrt{1-4x^2}[/tex]
As negative numbers don't have real square roots:
[tex]\implies 1-4x^2\geq 0[/tex]
Therefore, to find the domain, solve the inequality.
Subtract 1 from both sides:
[tex]\implies -4x^2\geq -1[/tex]
Divide both sides by -1 (reverse the inequality):
[tex]\implies 4x^2 \leq 1[/tex]
Divide both sides by 4:
[tex]\implies x^2\leq \dfrac{1}{4}[/tex]
[tex]\textsf{For }\:a^n \leq b,\:\:\textsf{if }n\textsf{ is even then }-\sqrt[n]{b} \leq a \leq \sqrt[n]{b}:[/tex]
[tex]\implies -\sqrt[2]{\dfrac{1}{4}} \leq x \leq \sqrt[2]{\dfrac{1}{4}}[/tex]
[tex]\implies -\sqrt{\dfrac{1}{4}} \leq x \leq \sqrt{\dfrac{1}{4}}[/tex]
[tex]\implies -\dfrac{1}{2} \leq x \leq \dfrac{1}{2}[/tex]
Therefore:
[tex]\textsf{Domain}: \quad \left[-\dfrac{1}{2}, \dfrac{1}{2}\right][/tex]
To find the range, input the endpoints of the domain into the function:
[tex]\implies f\left(-\dfrac{1}{2}\right)=\sqrt{1-4\left(-\dfrac{1}{2}\right)^2}=0[/tex]
[tex]\implies f\left(\dfrac{1}{2}\right)=\sqrt{1-4\left(\dfrac{1}{2}\right)^2}=0[/tex]
To find the limit of the range, find the extreme point(s) of the function by differentiating the function and setting it to zero.
[tex]\implies f(x)=(1-4x^2)^{\frac{1}{2}}[/tex]
[tex]\implies f'(x)=\dfrac{1}{2}(1-4x^2)^{-\frac{1}{2}} \cdot -8x[/tex]
[tex]\implies f'(x)=-\dfrac{4x}{\sqrt{1-4x^2}}[/tex]
Setting it to zero and solving for x:
[tex]\implies -\dfrac{4x}{\sqrt{1-4x^2}}=0[/tex]
[tex]\implies -4x=0[/tex]
[tex]\implies x=0[/tex]
Substitute x = 0 into the function:
[tex]\implies f(0)=\sqrt{1-4(0)^2}=1[/tex]
Therefore, the range is [0, 1]
Select the correct answer from each drop-down menu. A hot tub is in the shape of a regular pentagon. To the nearest tenth, what is the area of the cover on the hot tub? 4 ft The apothem of the pentagon is approximately ft². ft, and the perimeter of the pentagon is Reset Next ft. Therefore, the area is
Answer:
27.53
Step-by-step explanation:
The apothem of the pentagon is 2.7528 ft, area of pentagon is 25.528 ft² and perimeter of pentagon is 20ft.
What is Polygon?Polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides
Given,
A hot tub is in the shape of a regular pentagon.
The side of polygon is 4ft.
We need to find the apothem of the pentagon, area and perimeter.
In the middle we will have 360 degrees.
If we divide the polygon to five triangles, then one of the verte will have 36 degree measure.
h=2/tan 36=2.7528
Perimeter of polygon=5 a
a is side of polygon
Perimeter=5×4=20 ft.
Area=1/2 perimeter ×apothem
=1/2×20×2.7528
=27.528 ft²
Hence the apothem of the pentagon is 2.7528 ft, area of pentagon is 25.528 ft² and perimeter of pentagon is 20ft.
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Alec starts up a monthly subscription potato box. It costs 18.20 dollars per month,
and comes with 16 potatoes in each box. Each subscriber may order any amount of
”luxury potatoes”, that are separate from the 16 that normally come in the box, for
an additional 5 dollars each.
(a) Write a formula for the monthly revenue, R in dollars, earned by Alec as a function
of s, the number of monthly subscribers, and n, the total number of luxury potatoes that his clients order. R(s, n) =
(b) Using your formula from above, find R(10, 3)
A. The formula (mathematical function) for the monthly revenue, R, earned by Alec, R(s, n) = $18.20s + $5n.
B. Using the formula above, the value of R(10, 3) is $197.
What is a function?A function is an expression, rule, or law defining the relationship between an independent variable and a dependent variable.
Functions are used to define physical relationships between variables.
Data and Calculations:Cost monthly subscription = $28.20 per box
Number of normal potatoes in each box = 16
Cost of additional luxury potatoes = $5 per potato
If the monthly revenue function, R, is given as R(s, n) where:
s = number of monthly subscribers
n = total number of luxury potatoes ordered
The monthly revenue, R, earned by Alec, R(s, n) = $18.20s + $5n.
The value of R(10, 3) is $197 ($18.20 x 10 + $5 x 3)
Thus, using the formula above, the value of R(10, 3) is $197.
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Lewis High School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent.
Here are the positions and the people interested in each.
Position People interested
Faculty members Dr. Wright, Mr. Torres, Mrs. Lee, Ms. Reed
Male students Jose, Ali, Tony
Female students Donna, Keiko, Rita
Parent Dr. Wilson, Dr. Patterson, Ms. Rivera, Mrs. Ross, Ms. Bell
The number of possible committees from the given list is; 120 committees
How to Solve Probability Combinations?From the given list, we can say that;
Number of faculty members = 4
Number of male students = 2
Number of female students = 3
Number of parents = 5
Thus, the number of ways to fill the 4 member committee is calculated from probability combination as;
Number of committees = 4 * 2 * 3 * 5 = 120 possible committees
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Find the x and y intercepts on the graph of the line, if they exist.
3x + 4y = 24
The x and y intercepts of the given equation of the line are 8 and 6 respectively for the given line 3x+4y=24. They are shown in the graph at X and Y respectively.
What are the intercepts of a line?The standard equation of a line is ax + by + c = 0.
Then, its x-intercept is calculated by -c/a, and the y-intercept is calculated by -c/b.
In the graph, the x-intercept is obtained at y=0 and the y-intercept is obtained at x=0.
Calculation:It is given that,
The equation of the given line is 3x + 4y = 24
Rewriting the given equation into the general form,
3x + 4y - 24 =0
On comparing with ax + by + c = 0,
a = 3, b = 4 and c = -24
So,
The x-intercept of the line (-c/a) = -(-24)/3 = 8 and
The y-intercept of the line (-c/b) = -(-24)/4 = 6
Therefore, the required x and y intercepts are 8 and 6 respectively.
(The graph showing the intercepts of the given line is shown below)
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Solve for x. Find all solutions from 0 to 2 π . Show all work as you solve each problem - you may need more space to show your work for each. Remember there may be more than 1 solution for x.
Questions are attached below
Answer:
x=189
Step-by-step explanation:
please mark me as brainiest
what two numbers add to the number 30
Answer:
15+15
Step-by-step explanation:
Two 15's added together can equal 30
Evaluate the expression.
n =
If P(n, 5) = 2520, find n.
The value of n in the permutation equation P(n, 5) = 2520 is 7
How to evaluate the permutation expression?The expression is given as:
P(n, 5) = 2520
The above expression is a permutation expression.
The permutation expression is different from the combination expression, and the permutation expression is calculated using the following permutation formula
P(n,r) = n!/(n - r)!
Substitute 5 for r in the above equation
P(n,5) = n!/(n - 5)!
Substitute the given values in the above equation
n!/(n - 5)! = 2520
Expand the above equation
n(n-1)(n - 2)(n - 3)(n - 4)(n - 5)!/(n - 5)! = 2520
Evaluate the quotient in the above equation
n(n-1)(n - 2)(n - 3)(n - 4) = 2520
Express 2520 as 7 * 6 * 5 * 4 * 3
n(n-1)(n - 2)(n - 3)(n - 4) = 7 * 6 * 5 * 4 * 3
By comparing the equation, we have
n = 7
Hence, the value of n in the permutation equation P(n, 5) = 2520 is 7
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Find the ends of the major axis and foci
The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).
What is the axis and foci about?The term 'foci' is known to be the point at which there is the coming together of light or any other kinds of electromagnetic radiation, particles, etc.
It is also seen as the point from which they seems to go apart.
[tex]\frac{x^{2} }{144} + \frac{y^{2} }{169} = 1[/tex]
[tex]\frac{x^{2} }{12^{2} } + \frac{y^{2} }{13^{2} }[/tex]
Hence, major axis is = (0, ± 13)
e = [tex]\sqrt{1 -\frac{12^{2} }{13^{2} } }[/tex]
= 5/13
Foci is: (0± 13 x [tex]\frac{5}{13}[/tex])
Foci is: (0, ±5)
Therefore, The ends of the major axis is = (0, ± 13) and that of the foci is: (0,±5).
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PLS HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP
Answer:
let the first and second table box as 12345 and abcde
1,a
2,c
3,e
4,b
5,d
Step-by-step explanation:
you can use
y=mx+b form m is slope , b is y intercept
m with variable x and b without any variable I.e it is real value
Simplify √-50.
O 5√2
O 5i-√2
O-5√2
-5i√2
Answer: [tex]5i\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{-50}\\\\=\sqrt{-1} \sqrt{50}\\\\=5i\sqrt{2}[/tex]
What is the value of the expression 7 + (16 − 7) ÷ 3 + 8?
12
15
17
18
The solution to the expression is 18
Which of the following numbers is the greatest?
2.5
-2.5
0
-7
Answer:
2.5
Step-by-step explanation:
2.5 is the only positive number amongst the options, so it must be the greatest.
Solve the right triangle ABC, with C = 90°.
A = 38.5°, b = 43.5 cm. Find B, a, and c. Round to the nearest tenth.
A coin has two sides head and tails a die has six sides if you roll the die what is the probability that you flip heads and roll a number greater than 5
Using it's concept, the probability that you flip heads and roll a number greater than 5 is: [tex]\frac{1}{12}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
The probability of a head is 1/2.The probability of a number greater than 5 is 1/6.Hence the probability of both events is:
[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex].
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Which of these is smaller? 1/3 or 35%
1/3 = 1/3 × 100%
= 33%
☆ 33 % < 35 %
Therefore
* 1/3 is the smaller one.
☆...hope this helps...☆
_♡_mashi_♡_
The comparison of 1/3 and 35% in decimals shows that 1/3 is smaller than 35%.
Given that:
The fraction is 1/3 and the number in percentage is 35%.
The conversion of a fraction to a percentage can be obtained by dividing the numerator by the denominator and multiply by 100.
The decimal form of the fraction 1/3 is 33.33...%
1/3 ≈ 0.3333...
0.3333... * 100 ≈ 33.33...%
The value 35% is already in percentage.
Since, both the values are in percentage form, it can be easily compared.
On comparing, the resultant would be
33.33...% < 35%
Since 35% is greater than 33.33...%
It can be concluded that 35% is larger than 1/3.
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vRichard has a red card (R) and a black card (B). He picks a card randomly from the pair and then rolls a six-sided die. The sample space of the event is listed. B-1 R-1 B-2 R-2 B-3 R-3 B-4 B-5 R-5 B-6 R-6 The missing term in the list is . If there were three cards instead of two, the sample size would be .
The Sample space for three cards is
[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)[/tex][tex]\left(B,5\right),\left(R,5\right),\left(G,5\right),\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}[/tex]
There are two cards red(R) and black(B) and a six-sided die.
The event is one card is picked randomly and then rolls the die.
So, the Sample space is as follows.
[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(B,2\right),\left(R,2\right),\left(B,3\right),\left(R,3\right),\left(B,4\right),\left(R,4\right),\left(B,5\right),\left(R,5\right),\left(B,6\right),\left(R,6\right) \right \}[/tex]
Find Sample space if there are three cards.Consider there were three cards red(R), black(B) and green(G) a six-sided die.
The event is one card is picked randomly and then rolls the die.
So, the sample space will be as follows,
[tex]S=\left\{\left(B,1\right),\left(R,1\right),\left(G,1\right),\left(B,2\right),\left(R,2\right),\left(G,2\right),\left(B,3\right),\left(R,3\right),\left(G,3\right),\left(B,4\right),\left(R,4\right),\left(G,4\right)[/tex][tex]\left(B,5\right),\left(R,5\right),\left(G,5\right)\left(B,6\right),\left(R,6\right),\left(G,6\right) \right \}[/tex].
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A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 65 85 Type B 38 12 Compare P(Male or Type B) with P(Male | Type B). (5 points) P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough informatio
The correct statement regarding the probabilities is given as follows:
P(Male or Type B) > P(Male | Type B)
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 200 people, of which 103 are males and 12 are Type B females, hence:
P(Male or Type B) = 115/200 = 0.575
Of the 103 males, 38 are Type B, hence:
P(Male|Type B) = 38/103 = 0.3683.
Hence:
P(Male or Type B) > P(Male | Type B).
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Simplify the following
Answer:
29/12
Step-by-step explanation:
hello :
2/3 +5/6 +11/12 = (2×4)/(3×4) + (5×2)/(6×2) + 11/12
2/3 +5/6 +11/12 = 8/12 +10/12 +11/12 = (8+10+11)/12
2/3 +5/6 +11/12 = 29/12
Answer:
[tex]2\frac{5}{12}[/tex]
Step-by-step explanation:
To add fractions, we have to make sure that they have the same denominators. To do that, we have to find their lowest common multiple (LCM).
The LCM of 3, 6, and 12 is 12.
Then we have to multiply the numerator and denominator of each fraction by a number so that the denominator becomes the LCM (12).
[tex]\frac{2}{3} + \frac{5}{6} + \frac{11}{12}[/tex]
⇒ [tex]\frac{2 \times 4}{3 \times 4} + \frac{5 \times 2}{6 \times 2} + \frac{11 \times 1}{12 \times 1}[/tex]
⇒ [tex]\frac{8}{12} + \frac{10}{12} + \frac{11}{12 }[/tex]
⇒ [tex]\frac{8+10+11}{12}[/tex]
⇒ [tex]\frac{29}{12}[/tex]
⇒ [tex]\bf 2\frac{5}{12}[/tex]
Please help me with this I need the answers please
i think this is the answer
10 points please help with calculus HW
Find equations for the tangent line and the normal line to the graph of the equation at the given point. (The normal line at a point is perpendicular to the tangent line at the point.)
x^2 + y^2 = 10, (1, 3)
(a)Tangent Line = ___?____
(b)Normal Line=____?____
(c) Select a graph from the graph pictures attached
a. The equation of the tangent at (1,3) is y = -x/3 + 10/3
b. The equation of the normal at (1,3) is y = 3x
c. Find the graph in the attachment
a. How to find the equation of the tangent at (1, 3)?Since x² + y² = 10, we differentiate the equation with respect to x to find dy/dx which the the equation of the tangent.
So, x² + y² = 10
d(x² + y²)/dx = d10/dx
dx²/dx + dy²/dx = 0
2x + 2ydy/dx = 0
2ydy/dx = -2x
dy/dx = -2x/2y
dy/dx = -x/y
At (1,3), dy/dx = -1/3
Using the equation of a straight line in slope-point form, we have
m = (y - y₁)/(x - x₁) where
m = gradient of the tangent = dy/dx at (1,3) = -1/3 and (x₁, y₁) = (1,3)So, m = (y - y₁)/(x - x₁)
-1/3 = (y - 3)/(x - 1)
-(x - 1) = 3(y - 3)
-x + 1 = 3y - 9
3y = -x + 1 + 9
3y = -x + 10
3y + x = 10
y = -x/3 + 10/3
So, the equation of the tangent at (1,3) is y = -x/3 + 10/3
b. The equation of the normal at the point (1, 3)Since the tangent and normal line are perpendicular at the point, for two perpendicular line,
mm' = -1 where
m = gradient of tangent = -1/3 and m' = gradient of normalSo, m' = -1/m
= -1/(-1/3)
= 3
Using the equation of a straight line in slope-point form, we have
m' = (y - y₁)/(x - x₁) where
m' = gradient of normal at (1, 3) and (x₁, y₁) = (1,3)So, m = (y - y₁)/(x - x₁)
3 = (y - 3)/(x - 1)
3(x - 1) = (y - 3)
3x - 3 = y - 3
y = 3x - 3 + 3
y = 3x + 0
y = 3x
So, the equation of the normal at (1,3) is y = 3x
c. Find the graph in the attachment
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PLS HELP I WILL GIVE YOU 100 POINTS… Question 4 (True/False Worth 4 points)
(07.07)
True or False?
When temperature rises, the number of people who go to the beach increases. Temperature is the independent variable in this situation.
True
False
Answer:
True
Number of people is dependent
Answer:
true because it's hots and people cool of by getting by getting the water