Answer:
the answer is about 7.5
Step-by-step explanation:
hope this helps
tell me if you want me to explain it
Mr. Nee invested his money. Over the last 3 months, his investment had a loss of $27.60.Based on this information, write and simplify an expression to calculate the averageLossper month
Answer:
$9.20
Explanation;
From the question we are told that Mr. Nee had a loss of $27.60 over the last 3 months, this can be expressed as;
$27.60 = 3months
To calculate the average loss per month, we will say;
x = 1 month
Divide both expressions
27.60/x = 3/1
Cross multiply
27.60 * 1 = 3x
27.60 = 3x
3x = 27.60
x = 27.60/3
x = 9.20
Hence the average loss per month is $9.20
For this question “ followed by a number will mean to the power of.
I need the solution for x,y, and z with steps please
(3*5)”4*(2*3)”5*(2*5)”7= 2”x*3”y*5”z
Please and thank you
The solution for x, y, and z is x = 2, y = 2, and z = 2.
To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:
Simplify the expressions within the parentheses using the power of operator ("^").
\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)
Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)
\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)
Simplify the expression within the parentheses.
\((15610)^{16 }= 900^{16\)
Express both sides of the equation in terms of prime factors.
\(900 = 2^2 \times 3^2 \times 5^2\)
quate the powers of the prime factors on both sides of the equation.
\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)
From this, we can conclude that x = 2, y = 2, and z = 2.
Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.
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the line with a slope of 9/7 & containing a midpoint of the segment whose end points are (2, -3) & (-6, 5)
Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:
y = (9/7)x + 25/7.
Step-by-step explanation:Step 1: Find the midpoint of the line segment.
The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)
So, the midpoint of the line segment is (-2, 1).
Step 2: Write the equation of the line using the slope-intercept form.
The slope-intercept form of a line is given by:
y = mx + b
where m is the slope and b is the y-intercept.
Given the slope as 9/7, we have:
y = (9/7)x + b
Step 3: Substitute the coordinates of the midpoint to find the value of b.
Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:
1 = (9/7)(-2) + b
1 = -18/7 + b
To find the value of b, we can solve this equation:
1 + 18/7 = b
25/7 = b
Step 4: Write the final equation of the line.
Using the value of b, the equation becomes:
y = (9/7)x + 25/7
If the random variable x is normally distributed with a mean equal to .45 and a standard deviation equal to .40, then P(x ≥ .75) is:
If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.
What is a Z-score?A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.
Given the problem above, we need to find what the z-score is when P(x ≥ .75).
The formula for calculating a z-score is given by:
\(Z=\dfrac{\text{x}-\mu}{\sigma}\)
Where:
x is the value of 0.75\(\mu\) is the mean of 0.45And \(\sigma\) is the standard deviation of 0.40Now,
\(Z=\dfrac{\text{x}-\mu}{\sigma}\)
\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)
\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)
\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)
\(Z=1 - 0.077337\)
\(Z\thickapprox 0.9227\)
Therefore, the z-score of P(x ≥ .75) is 0.9227.
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1- In 2010, the island of Guam had 159,358 people living there. What is the number of people living in Guam rounded to the nearest ten thousand?
ANSWER:
160,000
STEP-BY-STEP EXPLANATION:
To round to the nearest ten thousand (10000) we must bring it closer to the nearest value, in this case it would be like this:
\(\begin{gathered} 159,358\rightarrow\text{ ten thousand }\rightarrow59,358 \\ 59,358\cong60,000 \\ \text{therefore} \\ 159,358\cong160,000 \end{gathered}\)please help fast .....
The answers is B and D
Step-by-step explanation:
y=3x+1
y=x+1
=(0,1)
x+y=10
2x+2y=20
x = 10 - y
Which is the quotient of 15 divided by 4?
Answer: 4
Step-by-step explanation:
4 goes into 15 three times with remainder 3
The quotient is the number that comes out of division
Therefore, the quotient is 4
2 Equivalent fractions for 3/9
NO LINKS!!!
Water covers 70.7%, or about 3.61 x 10⁸ km², of the Earth's surface. Approximate the total surface area of the Earth. (Round your answers to the nearest million.)
_____________ km²
Answer:
511 million km²
Step-by-Step Explanation:
Let the total surface area of the Earth be x.
Water covers 70.7% of the total surface area of the Earth, i.e.,
70.7% of x = 3.61 x 10⁸ km²
or, 70.7x /100 = 3.61 x 10⁸ km²
or, 707x/1000 = 3.61 x 10⁸ km²
or, 707x = 3.61 x 10⁸ x 1000km²
or, 707x = 3.61 × 10^11 km²
or, x = 0.0051 × 10^11 km²
or, x = 5.1 × 10⁸ km² = 511 million km²
Hope it helps.
If you have any query, feel free to ask .
Answer:
511 million km²
Step-by-step explanation:
Let x be the approximate total surface area of the Earth.
Given water covers 70.7%, or about 3.61 × 10⁸ km², set up an equivalent ratio of percent (in decimal form) to area:
\(\implies 0.707:3.61 \times 10^8=1:x\)
Solve for x:
\(\implies\dfrac{0.707}{3.61 \times 10^8}=\dfrac{1}{x}\)
\(\implies0.707x=3.61 \times 10^8\)
\(\implies x=\dfrac{3.61 \times 10^8}{0.707}\)
\(\implies x=\dfrac{3.61 }{0.707}\times 10^8\)
\(\implies x=5.10608203...\times 10^8\)
One million has 6 zeros and can be written in scientific notation as:
1 × 10⁶Therefore, to write x in millions as x × 10⁶, subtract 2 from the exponent and move the decimal point to the right by 2 places:
\(\implies x=510.608203...\times 10^6\)
Therefore, the approximate surface area of the Earth is 510.608203... million km², which is 511 million km² to the nearest million.
Plsssssssss helpppppppppppp
Answer: It is C
Step-by-step explanation:
The slop for Kitten A is 1/4 or 4
Kitten B has a slop of 2/6 or 3 so the answer is,
C Kitten B/rate of change 4Twice the sum of a number and 10 is 52. Find the number.
Answer:
n = 16
Step-by-step explanation:
With the wording given, I will put it into standard form.
2 × ( \(n\) + 10 ) = 52.
Now I will divide both sides by 2.
\(\frac{2\left(n+10\right)}{2}=\frac{52}{2}\)
Simplify.
n + 10 =26
Subtract 10 from both sides.
n + 10 - 10 = 26 - 10
Simplify it for the final time.
n = 16
the angel of elevation from a ball on a football field to the top of a 30 foot tall goal post 16 degree 42'. How far is the football from the base of the goal post? Round to the nearest tenth of a foot.
The football is approximately 96.4 feet from the base of the goal post.
What is tangent function?The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:
tan(theta) = opposing / adjacent.
When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.
Given, the angle of elevation is 16 degrees 42'.
That is,
Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees
Using tangent function we have:
tan(16.7) = 30/x
x = 30 / tan(16.7)
x = 96.4 feet
Hence, the football is approximately 96.4 feet from the base of the goal post.
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A bag contains 8items of which two are deffective.A man selects 3 items
When a man selects 3 items, the probability that they're all defective will be 1/64.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
From the information, bag contains 8items of which two are deffective. The probability of a defective item is:
= 2/8
= 1/4
When a man selects 3 items, the probability that they're all defective will be:
= (1/4)³
= 1 / 64
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Complete question
A bag contains 8items of which two are deffective. A man selects 3 items, what is the probability that they're all defective?
Is this correct or incorrect …..
A zero has the same meaning as the vertex.
What is a vertex?The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.
The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.
Thus, a zero has the same meaning as the vertex.
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Which of these lenders will make a very short-term loan based on proof of
employment?
A. Title lender
B. Bank
C. Credit union
D. Payday lender
Complete the table. Answer should be T or F.
P Q
T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
T T T T T F F F F F T T
F T T F F T T T T T F F
P F T F F T T T T T F F
-P T T F F T T T T T F F
-Q T T T T F T F F F T T
-P V -Q T T F F T T T T T F
-P -> Q T T F F T T T T T F
-P -> -Q T T F F T T T T T F
P <-> Q T T T T F T T T T F
Here is a more detailed explanation of how I filled out the table:
P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.
P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.
-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.
-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.
-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.
-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.
-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.
P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.
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Hurry and answer this please I have to have this right or I'll have to be held back.From a group of 5 boys and 3 girls, a boy AND a girl will be selected to attend a conference. In how many ways can the selection be made?
Answer:
15 ways
Step-by-step explanation:
girl 1 and boy 1
girl 2 and boy 1
girl 3 and boy1
girl 1 and boy 2
girl2 and boy 2
girl 3 and boy 2
girl 1 and boy 3
girl 2 and boy 3
girl 3 and boy 3
girl 1 and boy 4
girl 2 and boy 4
girl 3 and boy 4
girl 1 and boy 5
girl 2 and boy 5
girl 3 and boy 5
there are 193 going on a feild trip. the school has 5 busses to take the students. Each bus has 18 seats, and 2 students sit in each seat based on this information. how many students will not be able to ride a bus for the field trip?
Answer:
Step-by-step explanation:
so we know that there are 193 students going on this field trip and then it said that their are 5 buses each bus has 18 seats two students can sit in each seat so we muliply 18 by 2 which is and get 36, 36 can go on each bus multiply that by 5 and get 180 180 can go and there will be 13 not going
Use the graph of g(x) to answer the following question.
The graph of g(x) is a translation of f(x) = x^2
Write the equation for g(x) in vertex form.
The graph of the translated function is g ( x ) = ( x + 5 )² + 2
Given data ,
Let the parent function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x²
On simplifying , we get
The function is translated 5 units to the horizontal left direction:
And , when the function is translated 2 units in the vertical upward direction:
So , the translated function is
g ( x ) = ( x + 5 )² + 2
Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)
Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2
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Find the square root of: 2 + sqrt5
Answer:
3.65
Step-by-step explanation:
The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6
What is the decimal fraction of I) ¹½m is 60cm turn to decimal
Answer:
11.02
Step-by-step explanation:
3x=5+y/y
Solve For Y
HELP
Answer:
\(3x = \frac{5 + y}{y} ) \times y \\ 3xy = 5 + y \\3 xy - y = 5 \\ y(3x - 1) = 5 \\ y = \frac{5}{3x - 1} \)
When simplified,the value of the expression (15 - 11)^2 + sqrt 64/4 is equal to______.
Answer:
The answer is 20
Step-by-step explanation:
Solve paranthese first then sqrt your answer then add the remainig
At a local drive-thru restaurant, 3 out of every 8 drinks sold are diet drinks. If the restaurant sells 4,200 drinks in one month, how many would be diet drinks?
Answer:
1575
Step-by-step explanation:
3/8 as a decimal is .375. Multiply 4200 by .375 to get your answer.
Choose the function whose graph is given below. 1 į į NA 5 in A. Y= CSC X B. y= tan x O c. y = sec x OD. y = cotx
In the picture there is graph. The graph has a function is y=secx. The option c is correct.
Given that,
In the picture there is graph.
We have to find the graph has a function.
The graph is of y=secx.
Secant will not present at
x = - 5∏/2 , - 3∏/2 , -∏/2 , ∏/2, 3∏/2 , 5∏/2
At certain places, the graph will also include asymptotes. The graph of the secant on the range of - 5∏/2 is shown below. - 5 ∏/2
The graph also always has a value greater than 1 and less than -1. It shouldn't come as a huge surprise. Keep in mind that -1≤ cos (x)≤ 1. One will be more than one when divided by a number that is less than one. Additionally, 1 / ±1 = ±1, therefore we obtain the following secant ranges.
We can write as sec(x)≥1 and sec(x)≤-1
Therefore, the graph has a function is y=secx. The option c is correct.
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2 2/3 * 2 2/3 = how many thirds as a fraction
Answer:
\(21 \frac{1}{3}\) fit into the product
Step-by-step explanation:
so you want to convert \(2 \frac{2}{3}\) into a fraction by multiplying 2 by 3 and adding it to the 2. This will give you (3 * 2) = 6 => 6+2=8 which is the numerator. So the fraction becomes \(\frac{8}{3}\) and since the two fractions are equal they both become this. So now you have \(\frac{8}{3} * \frac{8}{3}\) which can be calculated by multiplying the numerators and denominators. This gives you \(\frac{8*8}{3*3} = \frac{64}{9}\). Now this just gives you the product but the question is asking you how many one thirds is the product. This is essentially saying how many 1/3 fit into the product or in other words what is the product divided by 1/3. This gives you the equation \(\frac{64}{9} \div \frac{1}{3}\) which can be calculated by changing the sign to multiplication and flipping the second fraction (1/3 => 3/1) This gives you the equation \(\frac{64}{9} * \frac{3}{1} = \frac{64 * 3}{3 * 3} = \frac{64}{3}\). I rewrote the 9 as 3 * 3 in the equation so you can see that we can just cancel out the 3. Since if have a number and multiply it by "x" and divide by "x" you just have the original number. So now you have 64/3 which simplifies to \(21 \frac{1}{3}\)
\(\huge\text{Hey there!}\)
\(\mathsf{2\dfrac{2}{3}\times 2 \dfrac{2}{3}}\)
\(\mathsf{= \dfrac{2\times3+2}{3}\times\dfrac{2\times 3 + 2}{3}}}\)
\(\mathsf{= \dfrac{6 + 2}{3}\times \dfrac{6 + 2}{3}}\)
\(\mathsf{= \dfrac{8}{3}\times\dfrac{8}{3}}\)
\(\mathsf{= \dfrac{8\times8}{3\times3}}\)
\(\mathsf{= \dfrac{8 + 8 + 8 + 8 + 8 + 8 + 8 + 8}{3 + 3 + 3}}\)
\(\mathsf{= \dfrac{16 + 16 + 16 + 16}{6 + 3}}\)
\(\mathsf{= \dfrac{32 + 32}{9}}\)
\(\mathsf{= \dfrac{64}{9}}\)
\(\mathsf{= 7 \dfrac{1}{9}}\)
\(\approx{\mathsf{21 \dfrac{1}{3}}}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\frak{21\dfrac{1}{3}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)The area of a circle with radius r is given by the formula A = (pi)r^2. If a circle has area 4(pi) square inches, what is the radius?
Answer:
\(\displaystyle 2\:in.\)
Step-by-step explanation:
\(\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{4\pi}{\pi} \hookrightarrow \sqrt{4} = \sqrt{r^2} \\ \\ \boxed{2 = r}\)
I am joyous to assist you at any time.
Which mathematical statement shows the correct number of decimal places in the product? 4.8 x 3.17 = 1.5216 4.8 x 3.17= 15.216 4.8 x 3.17 = 1521.6 4.8 x 3.17 = 152.16
The mathematical statement that shows the correct number of decimal places in the given product is 4.8 × 3.17 = 15.216. Option B is correct.
What is the rule for a decimal product?To do a decimal product we have different methods. One of them is the vertical decimal product method.
Rules:
The number with more digits becomes the multiplicand and the other one with fewer digits is the multiplier.The multiplication is the same as the normal multiplication of whole numbers.In the result, the decimal is placed at the total number of decimal places in both numbers.Calculation:The given product is 4.8 × 3.17
Here, the multiplicand is 3.17 since it has more digits than the other, and 4.8 is the multiplier.
So, the vertical decimal product is as follows:
3.17 (2 decimal places)
× 4.8 (1 decimal place)
_____
2536 (multiplied by 8)
1268 (multiplied by 4)
_____
15.216 (2+1 = 3 decimal places)
Thus, the product of the given decimals is 15.216 and it has three decimal places. So, option B is correct.
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A bread recipe requires that 5/8 teaspoon of yeast be added to flour and water. Alejandro only has a 1/8 teaspoon measuring spoon. How many measuring spoons of yeast will he need to add to the flour and water?
Answer:
5 measuring spoons of yeast
Step-by-step explanation:
A bread recipe requires that 5/8 teaspoon of yeast be added to flour and water. Alejandro has only a 1/8-teaspoon measuring spoon.
= 5/8 ÷ 1/8
= 5/8 × 8/1
= 5 measuring spoons
Hope this Works! :)
A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
A coordinate plane.
What is the value of a?
–2
–1
1
2The table of values below represents a linear function and shows the amount of snow that has fallen since a snowstorm began. What is the rate of change?
Snowfall Amount
Length of Snowfall
(hours)
Amount of Snow on the Ground
(inches)
0
3.3
0.5
4.5
1.0
5.7
1.5
6.9
2.0
8.1
1.2 inches per hour
2.4 inches per hour
3.3 inches per hour
5.7 inches per hour
The value of a is given as follows:
a = 2.
The rate of change is given as follows:
2.4 inches per hour.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope, which is the rate of change of the output variable y relative to the input variable x.b is the intercept, which is the value of y when x = 0.The line passes through the points (–1, –5) and (4, 5), hence the slope m is obtained as follows:
m = (5 - (-5))/(4 - (-1))
m = 2.
Hence:
y = 2x + b.
When x = -1, y = -5, hence the intercept b is obtained as follows:
-5 = -2 + b
b = -3.
Hence:
y = 2x - 3.
Then the value of a is obtained as the value of x when y = 1, hence:
2x - 3 = 1
2x = 4
x = 2.
The rate of change in the snowfall is given as follows:
m = (8.1 - 2.3)/2
m = 2.4 inches per hour.
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