Answer: Option (2)
Step-by-step explanation:
\(3^{-3}=\frac{1}{3^3}\)
Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances have an equal mass.
Answer:
In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area
Step-by-step explanation:
In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area
The customer gives you four $20 bills for a video game that totals $67.33.
Answer:
the answer is $12.67
Step-by-step explanation:
Help? I need to simplify
Answer:
x=0
Step-by-step explanation
I think that's what you're looking for :l/
Given the graph below, determine the values for a and b in the equation y=blog_3(x+a) . If a value is a non-integer then type it as a reduced fraction.vert asymp at x=-4.as x goes to -4,f(x) goes to infinity.as x goes to infinity f(x) goes to -infnity. (5,4) is on the graphThe value for a is AnswerThe value for b is Answer
Given the equation:
\(y=b\log _3(x+a)\)Let's find the values of a and b using the given graph.
Since the curve faces up, the value of b will be less than 1.
We have:
Vertical Asymptote at x = -4
Equate to zero:
x + 4 = -4 + 4
x + 4 = 0
Thus, we have:
\(y=b\log _3(x+4)\)Now, take the point:
(x, y) ==> (5, -4)
Input the values for x and y, then solve for b:
Where:
x = 5
y = -4
\(\begin{gathered} -4=b\log _3(5+4) \\ \\ -4=b\log _3(9) \\ \\ b=\frac{-4}{\log _39} \\ \\ b=\frac{-4}{\log _3(3^2)} \\ \\ b=\frac{-4}{2\log _33} \\ \\ b=\frac{-2}{\log _33} \\ \\ b=-\frac{2}{1} \\ \\ b=-2 \end{gathered}\)Therefore, the equation is:
\(y=-2\log _3(x+4)\)• The value for a is , 4
,• The value for b is , -2
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Which quadrilaterals have diagonals that are perpendicular?
A) Kite,Rhombus, and square
B) Trapezoid, rhombus, and square
C) kites trapezoid, and parallelogram
D) rectangle, square, and parallelogram
The quadrilaterals which have diagonals that are perpendicular are Kite, Rhombus, Square.(option A)
What is Diagonal?Diagonals are the part of a shape, in geometry. In Mathematics , a diagonal is a line that connects two vertices of a polygon or a solid, whose vertices are not on the same edge. in general, a diagonal is defined as a sloping line or the slant line , that connects to the vertices of a shape. diagonals are defined as lateral shapes that have sides/ edges and corners.
Kite
Rhombus
Square
these are the quadrilaterals that have diagonals that are perpendicular.
hence the answer is option A.
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Write the equation for the graph below:
See attached image.
The equation for the graph above is y = 5sin(2x/3).
What is a sine wave?In Mathematics and Geometry, a sine wave is sometimes referred to as a sinusoidal wave, or sinusoid and it can be defined as a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.
Mathematically, a sine wave can be represented or modelled by this mathematical equation:
y = asin(bx)
Where:
a represents the amplitude of a sine wave. b represents the periodicity.Based on the graph of this sine wave, we have:
Amplitude, a = 5.
Periodicity, b = 2π/period = 2π/(3π) = 2/3
Therefore, the required sine wave function is given by;
y = asin(bx)
y = 5sin(2x/3)
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Kaiko grows fruit and sells it to local grocery stores.he keeps data on the fruit he sells. The table shows some of his data for one fruit order?
Which kid of fruit had the most consistent weight
The Banana is the fruit with the most consistent weight in the table data.
How to solveTo determine the fruit with the most consistent weight, we can calculate the standard deviation of the weights for each fruit.
The standard deviation measures how much the weights vary from the mean weight for each fruit.
The standard deviation for each fruit is:
Apple: 1.303
Banana: 1.019
Orange: 1.303
As we can see, both Apple and Orange have the same standard deviation value of 1.303, indicating that their weights are equally consistent.
The Banana, on the other hand, has a lower standard deviation of 1.019, indicating that its weights are slightly more consistent than the Apple and Orange.
Therefore, the Banana is the fruit with the most consistent weight in this table data.
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Kaiko grows fruit and sells it to local grocery stores.he keeps data on the fruit he sells.
The table shows some of his data for one fruit order?
table of fruit data and their weights:
Fruit Weight (in grams)
Apple 120
Apple 122
Apple 118
Apple 121
Apple 119
Banana 139
Banana 138
Banana 141
Banana 140
Banana 139
Orange 160
Orange 159
Orange 161
Orange 158
Orange 162
Which kid of fruit had the most consistent weight
I'LL MARK THE BRAINLIEST
The diameter of a circle is 10 3/4 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer: The radius of the circle is 5 3/8 inches.
Step-by-step explanation:
The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:
10 3/4 = (10 × 4 + 3)/4 = 43/4
So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:
r = (43/4) ÷ 2 = 43/8
To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:
r = 43/8 = 5 3/8
Therefore, the radius of the circle is 5 3/8 inches.
Answer:5 3/4
Step-by-step explanation:
10 3/4 * 1/2
1/2 * 43/4 = 43/8
8/43=5 3/4
a piece of pipe is 40in. long. It is cut in to 3 pieces. the longest piece is 3 times as long as the middle sized piece and the shortest piece is 23 in. shorter than the longest piece. Find the lengths of all 3 pieces of pipe.
The length of shortest piece is 4 inches, middle sized piece is 9 inches and that of longest piece is 27 inches.
According to the question,
We have the following information:
A piece of pipe is 40in. long. It is cut in to 3 pieces. The longest piece is 3 times as long as the middle sized piece and the shortest piece is 23 in. shorter than the longest piece.
Let's take the length of middle sized piece to be x inches.
Length of longest piece = 3x inches
Length of shortest piece = (3x-23) inches
Now, we have the following expression:
x+3x+3x-23 = 40
7x-23 = 40
Adding 23 on both the sides:
7x = 40+23
7x = 63
Dividing by 7 on both the sides:
x = 63/7
x = 9 inches
Length of longest piece = 3*9 inches
Length of longest piece = 27 inches
Length of shortest piece = (27-23) inches
Length of shortest piece = 4 inches
Hence, the length of shortest piece is 4 inches, middle sized piece is 9 inches and that of longest piece is 27 inches.
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figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit
According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).
How to find the correct expression?To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.
On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.
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A store sells 20 bottles of detergent for every 5 bottles of fabric softener. Use the ratio table to find how many bottles of detergent will be sold when 12 bottles of softener are sold.
A.
4
B.
24
C.
48
D.
240
Answer:
D
Step-by-step explanation:
Just took the test :)
Consider the following advertisement for BrightLending, a short-term personal loan operator.
Loan amount: $800
Deposit date: Tuesday, May 17, 2022
Repayments: 22 payments of $203.40 bi-weekly
1st Payment due: Friday, May 27, 2022
a) If someone took out the $800 loan shown in the ad, how much would they pay in total for the loan?
b) How long is it taking this person to pay off the loan, in years?
Answer:
a) $4,475.20
b) it would take approximately 0.846 years or approximately 10 months to pay off the loan.
Step-by-step explanation:
if we nevermind the deposit and repayment dates, since they are not relevant for this case, so we have only a loan for $800 to be repaid in 22 weeks, at 203.40 every other week, biweekly namely.
Now, we can also nevermind the biweekly part, 22 payments are 22 regardless if it's done daily or yearly or bimonthly or bidecade, 22 is just 22.
a)
22 payments at 203.4 is just (22)(203.4) = 4474.8.
b)
how long does that take?
well, hell the loaner doesn't give much choices, you pay it every other week 22 times, how many weeks is that? 22*2 = 44 weeks.
Since we know a year has 52 weeks, then 44 weeks is just 44/52 of a year, namely
\(\cfrac{44}{52}\implies \cfrac{11}{13} ~~ \approx ~~ \text{\LARGE 0.85}~years\)
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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what expression is equivalent to 2(x-4)+x
Step-by-step explanation:
2(x-4) + x
= 2x-8 + x
= 3x - 7
Use the function below to find F(3).
Answer: B
Step-by-step explanation:
Plug in x for 3. Then solve.
4*(1/3)^3
4*1/9
4/9
WILL
GIVE BRAINLIST FOR MATH
....
i don't understand this please help
Answer:
A 48
Step-by-step explanation:
on a farm there are a total of 50 cows and chickens. these animals have a total of 124 legs in all how many more chickens then cows are there
please explain how you solved this problem show your work thanks
Answer:
There are \(38\) chicken and \(12\) cows.
Step-by-step explanation:
Each cow has four legs, while each chicken has two.
Assume that all \(50\) animals are cows. Under this assumption, there would be \(4 \times 50 = 200\) legs in total.
For each chicken counted as a cow, this calculation would have counted \((4 - 2) = 2\) extra legs.
In total, this calculation counted \(200 - 124 = 76\) extra legs. Since every two extra legs correspond to a chicken, those \(76\) extra legs would correspond to \(76 / 2 = 38\) chickens counted as cows.
In other words, \(38\) of those \(50\) animals are chicken. There would then be \(50 - 38 = 12\) cows among those animals.
What is the median?
2, 2, 1, 3, 5, 10, 2, 5
Answer:
The Miriam is 1,2,2,2,3,5,5,10
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
arrange the numbers in assending order.
Simplify:
25x - 6X - 18x + 7
Answer:
x+7
Step-by-step explanation:
25x - 6x - 18x + 7
x + 7
the following are the populations for the top twelve largest cities in the u. s. new york city, ny: 8,336,817 los angeles ca: 979.576 chicago, il:2,693,976 houston, tx: 2,320,268 phoenix az: 1,680,992 philadelphia pa: 1,584,064 san antonio tx: 1, 547,253 san diego ca: 1,423,851 dallas tx: 1,343,573 san jose ca: 1,021,795 austin tx:978,908 jacksonvill fl: 911,507. what is the mean population?, what is the median population?, what is th emode?, what is range?, what is the standard deviation?
The mean population in the U.S. is 2,068,548.
The median population in the U.S. is 1,565,659.
There is no mode in the dataset.
The standard deviation of the populations for the top twelve largest cities in the U.S. is 2,279,894.12.
What are the centre of measures of the states?To find the mean population, we need to sum up all the populations and divide by the total number of cities.
Mean = EF / n
Mean = 8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507
Mean = 24, 822,580 / 12
Mean = 2068548.33333
Mean = 2,068,548
Arranging populations in ascending order:
\(911,507, 978,908, 1,021,795, 1,343,573, 1,423,851, 1,547,253, \\1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817, 979,576\)
Median population = (1,547,253 + 1,584,064) / 2
Median population = 1,565,658.50.
The mode represents the value(s) that appear most frequently in the dataset. In this case, there is no single mode as each population value occurs only once. Therefore, we can say that there is no mode in the dataset of the top twelve largest cities in the U.S.
Standard Deviation:
\(\sqrt{(8,336,817 - 1,574,232)^2 + (979,576 - 1,574,232)^2 + (911,507 - 1,574,232)^2) / 12}\\\\\)
\(= \sqrt{62,333,273,003,930 / 12}\\= \sqrt{5,194,439,417,828.33} \\\\= 2,279,894.12\)
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A 80 kg patient needs a medication X in the amount of 0.25 mg/kg/day. The medication comes in a liquid solution of 50 mg for every 10 ml. How many ml of this solution will this patient need in a day?
The 4ml of this solution, this patient will need in a day.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that 80 kg patient needs a medication X in the amount of 0.25 mg/kg/day.
The medication comes in a liquid solution of 50 mg for every 10 ml therefore,
0.25 x 80 = 20mg/day
50/10 = 5mg/ml
Then the patient need in a day;
20/5= 4ml
Theefore, The solution, this patient will need in a day is 4 ml.
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Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
here is a list of number 51 38 48 36 39 40 39 47
Work out the range of the numbers in the list
Answer:
15
Step-by-step explanation:
The range of a group of numbers is the highest number in the sequence minus the lowest number.
Which in this case was 51 - 36 = 15.
Hope this Helps!
:D
In a right-angled triangle the ratio of the two smaller angles is 3:2. Find the sizes of each of the angles.
Answer:
36° , 54° , 90°
Step-by-step explanation:
since the triangle is right then one angle is 90°
the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )
the sum of the 3 angles in the triangle is 180° , that is
3x + 2x + 90 = 180
5x + 90 = 180 ( subtract 90 from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
Then
3x = 3 × 18 = 54°
2x = 2 × 18 = 36°
the 3 angles measure 36° , 54° , 90°
1. Jon waits on tables and is paid $6.75an hour. In a 40-hour period, he earned $310.50 in tips. What were his total earnings?
Answer:
$617.25
Step-by-step explanation:
$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25
Answer:$580.50
Step-by-step explanation:
:)
can someone please help me with this
Hope you understand :)
Answer:
DF = 3.0
<E = 31°
<F = 59°
Step-by-step explanation:
1. Use the Pythagorean Theorem to find side DF.
a² + b² = c²
5² + b² = 5.83²
25 + b² = 33.9889
b² = 8.9889
b = √8.9889
b = 2.998149429
b = 3.0
Side DF is equal to 3.0.
2. Use SOHCAHTOA to find the measure of <E. We know two sides: adjacent (5) and hypotenuse (5.83). So, we will use cosine.
Cosine = \(\frac{adjacent}{hypotenuse}\) = \(\frac{5}{5.83}\) = 0.8576329331
Take the inverse cosine to find <E in degrees.
cos⁻¹ (0.8576329331) = 30.95 = 31°
<E is equal to 31°.
3. Add the two angles and subtract from 180° or use SOHCAHTOA to find the measure of <F.
90° + 31° + x = 180°
121° + x = 180°
x = 59°
or
We know two sides: adjacent (3.0) and hypotenuse (5.83). So, we will use cosine.
Cosine = \(\frac{adjacent}{hypotenuse}\) = \(\frac{3.0}{5.83}\) = 0.5145797599
Take the inverse cosine.
cos⁻¹(0.5145797599) = 59.03063031 = 59°
<F is equal to 59°.
Hope that helps. :)
I don’t know how to do it..
Answer:
I hope it is correct ✌️✌️
Answer:
\(55^0\)
Step-by-step explanation:
Hello,
let's note e the angle that we are looking for
We know that in a triangle the sum of angles is 180 so we can write
For the BDE triangle
(1) 4x + 5x -1 + e = 180 <=> 9x + e - 1 =180
for the ACE triangle
(2) 4x + 6x-15 + e = 180 <=> 10x + e -15 = 180
So (2)-(1) gives
10x + e -15 - (9x + e - 1 ) = 180 - 180 = 0
<=> 10x + e -15 -9x -e +1 = 0
<=> x -14 = 0
<=> x = 14
and then we replace in (2) it comes
10*14 + e - 15 = 180
<=> 140 + e - 15 = 180
<=> e = 180 + 15 - 140 = 40 + 15 = 55
so m<E = \(55^0\)
Hope this helps
What is the domain of the reciprocal parent function?
A. All real numbers
B. x#0
C. x≤ 0
D. X 20
The domain of the reciprocal parent function is all real numbers except 0, therefore option B is correct.
For the given reciprocal function
f(x) = 1/x
The denominator x cannot be 0, because it will give an undefined value.
Therefore, the reciprocal function domain and range is the set of all real numbers excluding 0.
i.e., f(x) = 1/x where x = Real number excluding 0.
Therefore the option b is true.
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If p = the price of a pair of basketball shoes, which algebraic expression
represents the phrase below?
4
the difference of the price of the shoes and 5 dollars
A. 5p
B. p+5
c. ff
D. p-5
Hello :
The difference of the price of the shoes and 5 dollars is p - 5.