Answer:
-1 11/40
Step-by-step explanation:
-51/40 this is simplest form.
Step-by-step explanation:
five hundred twelve thousandths decimal form
The first step to answer this question is to write the fraction for the given sentences.
Five hundred twelve thousandths is:
[tex]\frac{512}{1000}[/tex]To write it as a decimal, solve the quotient:
[tex]\frac{512}{1000}=0.512[/tex]The answer is 0.512.
Factor out the greatest negative common factor for the expression.- 8mºn - 40m?n4Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.OA. - 8mºns - 40mºn4-(Factor completely.)OB. There is no common factor other than 1.
Solution
- The question tells us to factor out the greatest negative common factor of the expression below:
[tex]-8m^3n^5-40m^3n^4[/tex]- The greatest negative common factor is the negative monomial with the largest magnitude, which divides evenly into each term of the given expression.
- Let us factorize the expression to derive this greatest negative common factor below:
[tex]\begin{gathered} -8m^3n^5-40m^3n^4 \\ -8,m^3,\text{ and }n^4\text{ are all co}mmon\text{ in the expression above.} \\ \text{Thus, we have:} \\ \\ -8m^3n^4(n-5) \end{gathered}[/tex]Final Answer
The answer is
[tex]-8m^3n^4(n-5)[/tex]Which statement is equivalent to ~p? p: Even numbers are divisible by 2.
The statement ~p is "Even numbers are not divisible by 2."
Given statement:-
p: Even numbers are divisible by 2.
We have to find ~p for the statement p.
We know that ~p means negation of p.
Hence, we will negate the statement by adding "not" in the statement.
Hence, the statement will become,
Even numbers are not divisible by 2.
Negation of a statement
In logic, negation, also called the logical complement, is an operation that takes a proposition P to another proposition "not P", written ~P or -P.
It is interpreted intuitively as being true when P is false, and false when P is true.
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Each parking spot is 8 feet wide. A parking lot has 24 parking spots side by side. What is the width (measured in yards) of the parking lot? The shorter tree is
The width would be: 8ft*24 = 192 ft
Then, we have to convert the unit from ft to yards. Doing so,we have:
[tex]192ft\cdot\frac{1\text{ yard}}{3\text{ ft}}=64\text{ yards (Multiplying and dividing)}[/tex]The answer is 64 yards
Kentaro mixed 3.5 gallons of cranberry juice with 3 quarts of orange juice to make a punch.1 gallon = 4 quarts1 gallon = 16 cups1 cup = 8 fluid OuncesHow many fluid ounces of punch did Kentaro make? Enter the answer in the box.
The total volume made is 544 fluid ounces of punch
Here, we want to get the amount of fluid ounces of punch made
What we have to do here is to convert each of the volumes to fluid ounces and add together
From the Cranberry juice;
[tex]\begin{gathered} 1\text{ gallon = 16 cups} \\ 3.5\text{ gallons will be = 3.5 }\times\text{ 16 = 56 cups} \\ 1\text{ cup = 8 fluid oz} \\ 56\text{ cups will be; 56}\times\text{ 8 = 448 fluid oz} \end{gathered}[/tex]Now, for the orange juice;
[tex]\begin{gathered} 1\text{ gallon = 4 quarts} \\ 4\text{ quarts = 16 cups} \\ 3\text{ quarts = }\frac{3\times16}{4}\text{ = 12 cups} \\ \\ 1\text{ cup = 8 fluid oz} \\ 12\text{ cups = 12 }\times\text{ 8 = 96 fluid oz} \end{gathered}[/tex]Here, to get the total number, we simply add
That will be;
[tex]96\text{ + 448 = 544 fluid ounces}[/tex]The pie chart below shows how the annual budget for a certain company is divided by department. If the amount budgets forceditoral and sales combined is12,500,000, what is the total annual budget
Explanation
We are asked to find the total annual budget given that the combined amount for sales and editorial is $12,500,000
To do so, let the total combined amount be x
If we check for the combined percentages for the amount for sales and editorial, we will have
[tex]21\text{ \%}+4\text{ \% = 25\%}[/tex]Thus, we can set up the equation
[tex]25\text{ \% of x = 12,500,00}[/tex]Solving for x
[tex]\begin{gathered} \frac{25}{100}\times x=12500000 \\ \\ \frac{x}{4}=12500000 \\ \\ x=4\times12,500,000 \\ \\ x=50,000,000 \\ \end{gathered}[/tex]Therefore, the total annual budget will be $50,000,000
Write an expression to show how much Gretchen paid for drama,action, and comedy videos if she paid $4 for each at a sale. Evaluate the expression
explanation
To determine how much Gretchen paid, we will have to list out the number of Video purchases made for drama, action, and comedy videos.
Let the Action videos be represented by A
Let the Comedy videos be represented by C
Let the Drama videos be represented by D
Also,
A has 3 purchases
C has 5 purchases
D has 2 purchases
Therefore, we will have the expression
[tex]3A+5C+2D[/tex]If she paid $4 for each, then
The total videos purchased = 3+5+2=10
Thus, the total amount paid will be
[tex]\begin{gathered} 10p \\ \text{where p is the price she paid for each video} \\ \text{Thus, } \\ \text{she paid} \\ 10(4)=\text{ \$40} \end{gathered}[/tex]Thus, Gretchen paid $40
the quotient of 7 and p
To get the quotient we divide.
[tex] = 7 \div p \\ = \frac{7}{p} [/tex]
x = -1,0,1,2,3.
P(X = x) 0.2, 0.2, 0.2, 0.2, 0.2. Find the value of P(X<3).
The value of the probability P(x < 3) is 0.8
How to determine the probability value?From the question, the table of values is given as
x = -1,0,1,2,3.
P(X = x) 0.2, 0.2, 0.2, 0.2, 0.2
To calculate the probability P(x < 3). we make use of the probability values where x is less than 3
This means that
P(x < 3) = P(-1) + P(0) + P(1) + P(2)
Substitute the known values in the above equation
So, we have
P(x < 3) = 0.2 + 0.2 + 0.2 + 0.2
Evaluate the sum
P(x < 3) = 0.8
Hence, the probability value is 0.8
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Consider these functions:
ƒ(x) = 1/3 x² + 4
g(x)=9x - 12
What is the value of g(f(x))?
The value of the composite function g(f(x)) is 1 / 3 (81x² - 216x + 144) + 4
How to solve composite function?A composite function is a function that depends on another function. In a composite function, the output of one function becomes the input.
Therefore, let's solve the function as follows;
f(x) = 1 / 3 x² + 4
g(x) = 9x - 12
The value of g(f(x)) can be found as follows:
To find g(f(x)) we have to substitute the f(x) in g(x).
Therefore,
g(f(x)) = 1 / 3 (9x - 12)² + 4
(9x - 12)(9x - 12) = 81x² - 108x - 108x + 144
(9x - 12)(9x - 12) = 81x² - 216x + 144
Therefore,
g(f(x)) = 1 / 3 (81x² - 216x + 144) + 4
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if QS in TV are parallel lines and m≤SRP=65°, what is m≤VUR
Angle SRP and Angle VUR are corresponding angles.
When two parallel lines are cut by a transversal, it creates several different pairs of angles that are equal, complements, and supplements.
In case of corresponding angles,
They are equal.
Given,
∠SRP = 65°
∠VUR = 65° also
Answer[tex]\angle\text{VUR}=65\degree[/tex]Use area under the curve to complete probability for continuous probability dentist functionsuse the uniform distribution to compute probabilityfind the mean and standard deviation Love the uniform distribution1.One type of card stock which may be used for the cover of a booklet is uncoated paper with waymark as 65 pounds the standard thickness of 65# of card stuck is 9.5 points (0.0095”). A manufacturer determines that the thickness of 65# of card stuck produced followed a uniform distribution varying between 9.25 points and 9.75 points.A)Sketch the description for this situation.B)compute the mean and standard division of the thickness of the 65# cards stuck producedC)compute the probability that a randomly selected piece of 65# card stark has a thickness of a list 9.4 points.D)Compute the probability that a randomly selected piece of 65# card stock has thickness between 9.75 points.
If x is uniformly distributed over the interval [ a , b ] then,
[tex]\begin{gathered} f(x)\text{ = }\frac{1}{b-a}\text{ , a }\leq\text{ x }\leq\text{ b} \\ f(x)\text{ = 0 , otherwise} \end{gathered}[/tex]Also ,
[tex]\begin{gathered} \text{Mean = }\frac{a\text{ + b}}{2} \\ \text{Std deviation = }\sqrt[]{\frac{(b-a)^2}{12}} \end{gathered}[/tex]It is given that ,
[tex]\begin{gathered} a\text{ = 9.25} \\ b\text{ = 9.75} \\ b\text{ - a = 9.75 - 9.25 = 0.5} \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} f(x)\text{ = }\frac{1}{0.5}\text{ 9.25 }\leq\text{ x }\leq\text{ 9.75} \\ f(x)\text{ = 0 otherwise} \end{gathered}[/tex](a)The distribution is as follows :
(b)The mean is calculated as,
[tex]\begin{gathered} \text{Mean = }\frac{a\text{ + b}}{2} \\ \text{Mean = }\frac{9.25\text{ + 9.75}}{2} \\ \text{Mean = 9.5} \end{gathered}[/tex]Standard deviation is calculated as,
[tex]\begin{gathered} \text{Standard deviation = }\sqrt[]{\frac{(b-a)^2}{12}} \\ \text{Standard deviation = }\sqrt[]{\frac{(0.5)^2}{12}} \\ \text{Standard deviation }\approx\text{ 0.1443} \end{gathered}[/tex](c) The probability is calculated as,
[tex]\begin{gathered} P(\text{ atleast 9.4 points ) = P( x }\ge\text{ 9.4)} \\ P(\text{ atleast 9.4 points ) = }\int ^{9.75}_{9.4}(\frac{1}{0.5})dx \\ P(\text{ atleast 9.4 points ) = }\frac{9.75\text{ - 9.4}}{0.5} \\ P(\text{ atleast 9.4 points ) = 0.7} \end{gathered}[/tex](d) The probability is calculated as,
[tex]\begin{gathered} P(\text{between 9.45 and }9.75\text{ ) = P( 9.45 }\leq\text{ x }\leq\text{ 9.75 )} \\ P(\text{between 9.45 and }9.75\text{ ) = }\int ^{9.75}_{9.45}(\frac{1}{0.5})dx \\ P(\text{between 9.45 and }9.75\text{ ) =}\frac{9.75\text{ - 9.45}}{0.5} \\ P(\text{between 9.45 and }9.75\text{ ) = 0.6} \end{gathered}[/tex]Calculate the amount of money that was loaned at 4.00% per annum for 2 years if the simple interest charged was $1,240.00.
Given:-
Simple intrest is $1240. Rate is 4.00%. Time is 2 years.
To find:-
The principal amount.
The formula which relates Simple intrest, Rate, Time and Principal amount is,
[tex]I=prt[/tex]So from this the formula for p is,
[tex]p=\frac{I}{rt}[/tex]Subsituting the known values. we get,
[tex]\begin{gathered} p=\frac{I}{rt} \\ p=\frac{1240}{0.04\times2} \\ p=\frac{1240}{0.08} \\ p=\frac{124000}{8} \end{gathered}[/tex]By simplifying the above equation. we get the value of p,
[tex]\begin{gathered} p=\frac{124000}{8} \\ p=\frac{31000}{2} \\ p=15500 \end{gathered}[/tex]So the principle amount value is 15500.
4(3c+3)-3c+1=3(3c+5)-2
The given equation is,
[tex]4(3c+3)-3c+1=3(3c+5)-2[/tex]The above equation can be simplified as follow,
[tex]undefined[/tex]Write an equation of the line containing the given point and parallel to the given line.
(9,−6); 4x−3y=2
Answer:
y=4/3x-18
Step-by-step explanation:
4x-2=3y
y=4/3x-2/3
to parallel slope has to be the same
-6=9*(4/3)+b
b=-18
y=4/3x-18
Ethan's income is 4500 per month a list of some of his expenses appear below what percent of Ethan's expenses is food?
Ethan's earns 4500$ per month*
the amount spent on the food is 600 $
so percentage will be'
[tex]=\frac{4500}{600}=\frac{1500}{200}=7.5\text{ \%}[/tex]so the answer is the percentage amount spent on food is, 7.5 %
Question
Mrs. Hanson has a potato salad recipe that calls for 238 pounds of potatoes, but she wants to make 112 times as much as the recipe calls for.
The diagram represents the number of pounds of potatoes that Mrs. Hanson needs.
How many pounds of potatoes does Mrs. Hanson need?
Answer:
3 9/16 lbs
Step-by-step explanation:
Use the graph to evaluate the function for the given input value. 20 f(-1) = 10 f(1) = х 2 -10 -20 Activity
we have that
[tex]f(-1)=-8,f(1)=-12[/tex]Help please not sure if I am right or wrong thank you
Given:
[tex]-1+\sqrt[]{-4}[/tex]To find the simplified complex number
[tex]\begin{gathered} -1+\sqrt[]{-4}=-1\pm2i \\ -1+\sqrt[]{-4}=-1+2i,-1-2i \end{gathered}[/tex]Mrs. Laurence just bought a new car for 26,304. She plans to pay her car off in 24 months. Mr. Gannon just bought a new car for 20,480 and plans to pay his car off in 20 months. How much more money a month does Mrs. Laurence pay in her car payment?
The amount of extra money a month that Mrs. Laurence pays in her car payment is $72.
How much more money does Mrs. Laurence pay each month?We can get the amount of extra amount that Mrs. Laurence pays each month when compared to Mr. Gannon by dividing the amount that they pay by the number of months they need to make these payments.
This can be done as follows:
26304 ÷ 24 = 1096
20480 ÷ 20 = 1024
1096 - 1024 - 72
So, the amount of extra money that Mrs. Laurence has to pay each month when compared to that of Mr. Gannon is $72.
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In a factory, the profit, P, varies directly with the inventory, I. If the factory has a profit of $60,000 when their inventory is 1,500 units, find the profit for an inventory of 50 units.
The factory has a profit of $60 000when their inventory is 1, 500 units
Let x be the profit for an inventory of 50 units
$60 000 = 1,500 units
X = 50 units
cross-multiply
1500X = $60 000 x 50
1500X =3,000,000
Divide both-side of the equation by 1500
1500X/1500 = 3,000,000/1500
x= $2000
The factory has a profit of $2000 for an inventory of 50 units
Riley rented folding chairs and tables for an event.• She rented a total of 56 chairs and tables.• She paid $2.25 per chair and $8.50 per table and paid a total of $176.00.Write a system of equations to model this situation.Enter your equations in the space provided. Enter only your equations.+-Х.Iyx rr fr)而
Total rented= 56 chairs and tables
Chair= $2.25 (let's consider chairs as x)
Table = $8.50 (let's consider tables as y)
Total paid= $176.00
If she rented 56 chairs and tables, then the equation for that would be:
[tex]\begin{gathered} 56=\text{ x + y } \\ 56\text{ -x= y} \end{gathered}[/tex]Then the system of equations to model this situation is:
[tex]176.00=\text{ 2.25x + 8.50\lparen56-x\rparen}[/tex]You are purchasing a snack at the store for $3.50. The sales tax is 6%. How much is the sales tax?
price = $3.50
Sale tax = 6%
Multiply the price by the tax percentage in decimal for ( divided by 100)
3.50 x (6/100) = 3.50 x 0.06 = $0.21
7 x 5f = 7070
HELPPPP PLEASE
f = 202
Step-by-step explanation:
[tex]7 \times 5f = 7070[/tex]
[tex]5f = \frac{7070}{7} [/tex]
[tex]5f = 1010[/tex]
[tex]f = \frac{1010}{5} [/tex]
[tex]f = 202[/tex]
Verification to check the given answer is correct, then put the value of f in the given question.
[tex]7 \times 5(202) = 7070[/tex]
[tex]35(202) = 7070[/tex]
[tex]7070 = 7070[/tex]
L.H.S. = R.H.S
[tex]{ \green { \boxed{ \red{ \sf{f = 202}}}}}[/tex]
Step-by-step explanation:
The given Eqⁿ is, [tex]{ \purple{ \sf{7 \times 5f = 7070}}}[/tex]
We need to find the value of f. So, let us cancel the numbers one by one.
First, let us cancel 7 by dividing both the sides by 7 in the given Eqⁿ.
[tex]{ \purple{ \sf \frac{ \cancel7 \times 5f}{ \cancel7}}} = { \purple{ \sf{ \frac{ \cancel{7070} ^{ \green{ \tt{1010}}} }{ \cancel 7_{ \green{ \tt{1}}}}}}}[/tex]
[tex]{ \purple{ \sf{5f = 1010}}}[/tex]
Now, let us cancel 5 by dividing both the sides by 5. then,
[tex]{ \purple{ \sf{ \frac{ \cancel5}{ \cancel5}f}}} = { \purple{ \sf{ \frac{ \cancel{1010^{ \red{ \tt{ \: \:202}}}}}{ \cancel 5_{ \red{ \tt{1}}}}}}}[/tex]
[tex]{ \boxed{ \blue{ \sf{f = 202}}}}[/tex]
Solve for the hypotenuse and then determine the ratios below (show all work)
hypotenuse=29
[tex]\sin x=\frac{20}{29}[/tex][tex]\cos y=\frac{20}{29}[/tex]
Explanation
Step 1
a) hypotenuse
to find the hypotenuse we can use the Pythagorean theorem ,it statse that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)
so
[tex]\begin{gathered} 21^2+20^2\text{= hypotenuse}^2 \\ 441+400=\text{ hypotenuse}^2 \\ 841=\text{hypotenuse}^2 \\ taking\text{ the square root in both sides} \\ \sqrt{841}=\sqrt{(hypotenuse)^2} \\ 29=hypotenuse \end{gathered}[/tex]so
hypotenuse=29
Step 2
now, sin x
the sin of an angle is the ratio of the opposite side ( the one in front of the angel) to the hypotenuse
[tex]\sin\theta=\frac{opposite\text{ side}}{hypotenuse}[/tex]hence, replace
[tex]\sin x=\frac{20}{29}[/tex]Step 3
finally, cos of y
the cos of an angle is the ratio of the adjancent side( the side the makes the angle) to the hypotenuse
[tex]cos\theta=\frac{adjacent\text{ side}}{hypotenuse}[/tex]so,replace
[tex]\cos y=\frac{20}{29}[/tex]I hope this helps you
Can you help me figure this out
By using the fact that the interior angles of a triangle must add up to 180, we will see that the value of x is 15.
How to get the value of x?Here we have 3 expressions for the measures of the interior angles of a triangle.
Now, remember that the sum of the interior angles of a triangle is always equal to 180°, then we can write:
(8x - 7)° + (x + 7)° + (2x + 15)° = 180°
Ignoring the degrees and solving this for x, we get:
8x - 7 + x + 7 + 2x + 15 = 180
11x + 15 = 180
11x = 180 - 15 = 165
x = 165/11 =15
The value of x is 15.
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1. Mother bought 13.5 kg of sugar and then she repacked the sugar in several bags. If she put 1.5 kg in each bag, how many bags of sugar did she have? only numbers
Give the following numberin Base 2.7710 = [ ? ] 2Enter the number that belongs in the green box.
To convert a number on base 10 to binary(base 2), we use the following steps
1 - Divide the number by 2.
2 - Get the integer quotient for the next iteration.
3 - Get the remainder for the binary digit.
4 - Repeat the steps until the quotient is equal to 0.
Using this process in our number, we have
Then, we have our result
[tex]77_{10}=1001101_2[/tex]Lines from Point/Slope (Diagonal Only) Nov 23, 9:40:49 AM What is the equation of the line that passes through the point (-4, -2) and has a slope of - Answer: Submit Answer attempt 2 out of 2
The point-slope form of a line is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope
Replacing with point (-4, -2), we get:
y - (-2) = m(x - (-4))
y + 2 = m(x + 4)
If the slope is, for example, 3, the equation would be:
y + 2 = 3(x + 4)
If the slope is -2/5, the equation would be:
y + 2 = -2/5(x + 4)
Solve the system of two inequalities.y<6y≥-4Same format as the question below. Only the inequality is changed.
Given the system of inequalities:
[tex]\begin{cases}y<6 \\ y\ge-4\end{cases}[/tex]First Inequality: y<6
• The inequality sign is <, therefore, the ,type of boundary line is Dashed.
The equation of the boundary line is y=6. Therefore:
• Two points on the boundary line are: (0, 6) and (2, 6)
The region below the line will be shaded.
Second Inequality: y≥-4
• The inequality sign is ≥, therefore, the ,type of boundary line is Solid.
The equation of the boundary line is y=-4. Therefore:
• Two points on the boundary line are: (0, -4) and (2, -4)
The region above the line will be shaded.
The graph is attached below:
