What is the speed of a plane that travels at a rate of 410 mph with a wind of r mph?
triangle ABC is an abtuse triangle with the abtuse angle at vertex B. Angle A must be : less than 90 greater than 90. congruent to angle B congruent to angle C
In a recent semester at a local university, 490 students enrolled in both General Chemistry and Calculus I. Of these students, 61 received an A in general chemistry, 63 received an A in calculus, and 25 received an A in both general chemi: and calculus Find the probability that a randomly chosen student received an A in general chemi stry or calculus or both
What must be true of the discriminant the soulution to a quadratic equation is a set of 2 different real numbers?
The area of a rectangle is 56 cm.the length is 2 cm more than x and the width is 5 cm less than twice x.solve for x
Answer:
x = 6 cm
Step-by-step explanation:
The area is the product of length (x +2) and width (2x -5). It is 56 cm², so for all dimensions in cm, we can write ...
(x +2)(2x -5) = 56
2x² -x -66 = 0 . . . . . subtract 56 to put into standard form
(x -6)(2x +11) = 0 . . . . factor
Solutions to the equation are values of x that make the factors zero:
x = 6, x = -11/2
The negative solution is extraneous, so the solution of interest is ...
x = 6 cm
HELP ASAP PLS Solve and check c-4/c-2=c-2/c+2-1/2-c the solution is c = ? How many extraneous solutions are there?
Answer : the solution of c is 14.
Explanation :
Since we have given that
[tex]\frac{c-4}{c-2}=\frac{c-2}{c+2}-\frac{1}{2-c}\\\\\frac{c-4}{c-2}=\frac{c-2}{c+2}+\frac{1}{c-2}\\\\\frac{c-4}{c-2}=\frac{(c-2)^2+c+2}{(c+2)(c-2)}\\\\\frac{c-4}{c-2}=\frac{c^2+4-4c+c+2}{(c+2)(c-2)}\\\\(c-4)(c+2)=c^2+6-3c\\\\c^2-8-2c=c^2+6-3c\\\\-2c+3c=6+8\\\\c=14[/tex]
So, c = 14
So, the solution of c is 14.
There is no extraneous solution as if we put the value of c i.e. 14 in the equation it does not make the equation not defined . so by putting the value of c we get a defined value,
Hence , there is no extraneous solution.
Answer: The solution is C = 14
And there is zero extraneous solutions
Step-by-step explanation: Because I said so :-)
SUSAN NEEDS EXACTLY 4 PLATES ON EACH TABLE FOR THE BANQUET,AND 5 PLATES AT THE MAIN TABLE.IF SHE HAS 417 PLATES,HOW MANY TABLES IS SHE ABLE TO PREPARE?INCLUDE THE MAIN TABLE IN COUNT
Find the volume of the figure. A) 33 in3 B) 150 in3 C) 233 in3 D) 425 in3
The Volume of Figure is 233 inch³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill. Volume is a three-dimensional quantity used to calculate the capacity of a container.
Given:
Top Cuboid:
length = 12 inch
width = 3 inch
Height = 3 inch
Bottom Cube:
Edge = 5 inch
So, the Volume of Figure
= Volume of Top Cuboid + Volume of Cube
= 12 x 3 x 3 + 5 x 5 x 5
= 72 + 125
= 233 inch³
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EXPERTS/ACE/GENIUSES HELP PLZ!!:)
what's the square root of 89
Lin has 13 coins in her pocket that equal 40 cents. All the coins are dimes, d, and pennies, p. Which combination of coins does Lin have? Use the table to answer the question.
The combination of coins are:
3 dimes and 10 pennies.
Step-by-step explanation:Let there are d number of dines and p number of pennies.
Now as there are a total of 13 coins this means that:
d+p=13------(1)
and also the total value of the coins is 40 cents.
1 dime=10 cents
Hence, d dime= 10 d cents
Also, 1 penny= 1 cent
Hence p penny= p cents
Hence, we get:
10d+p=40------(2)
On subtracting equation (1) from (2) we get:
9 d=27
on dividing both side by 9 we get:
d=3
On putting the value of d in equation (1) we get:
3+p=13
i.e. p=13-3
i.e. p=10
The combination is:
3 dimes and 10 pennies
which equation are true for x=-2 and x=2 check all that apply
Answer:
A. [tex]x^2-4=0[/tex]
D. [tex]4x^2=16[/tex]
Step-by-step explanation:
To check which of the given equations have solution [tex]x=-2\text{ and }x=2[/tex], we will solve our given equations one by one.
A. [tex]x^2-4=0[/tex]
[tex]x^2-4+4=0+4[/tex]
[tex]x^2=4[/tex]
[tex]\sqrt{x^2}=\pm\sqrt{4}[/tex]
[tex]x=\pm 2[/tex]
[tex]x=-2\text{ or }x=2[/tex]
Therefore, option A is the correct choice.
B. [tex]x^2=-4[/tex]
To solve our given equation, we need to take square root of both sides of equation. Since square root is not defined for negative numbers, therefore, option B is not a correct choice.
C. [tex]3x^2+12=0[/tex]
[tex]3x^2=-12[/tex]
[tex]x^2=-4[/tex]
To solve our given equation, we need to take square root of both sides of equation. Since square root is not defined for negative numbers, therefore, option C is not a correct choice.
D. [tex]4x^2=16[/tex]
[tex]x^2=4[/tex]
[tex]\sqrt{x^2}=\pm\sqrt{4}[/tex]
[tex]x=\pm 2[/tex]
[tex]x=-2\text{ or }x=2[/tex]
Therefore, option D is the correct choice.
E. [tex]2(x-2)^2=0[/tex]
[tex](x-2)^2=0[/tex]
[tex]\sqrt{(x-2)^2}=\sqrt{0}[/tex]
[tex]x-2=0[/tex]
[tex]x=2[/tex]
Therefore, option E is not a correct choice.
A customer bought $329.69 worth of building materials for a home remodeling project. They returned some of the unused materials worth $59.63. Estimate to determine how much the customer spent on building materials by rounding to the nearest $10. Estimate to determine how much the customer spent on building materials by rounding to the nearest $10.
Point A located at (-2,4) is translated down 6 units what are the coordinates of A
The manager of a store selling tea plans to mix a more expensive tea that cost $7 per pound with a less expensive tea that cost $4 per pound to create a hundred forty pound blend that will sell for $6.10 per pound. How many pounds of each type of tea are required?
the product of twice a number and two is the same as the difference of three times the number and 8/3. find the number
what is the value x?
Brent conducted a survey in his school regarding whether students ride their bikes to school each day. he surveyed a random sample of 150 students and 40 said they rode their bikes to school each day. there are 450 students who attended school. based on the results of Brents survey, about how many students in the school ride their bikes to school each day
Fabian harvests 10 pounds of tomatoes from his garden he needs 2 2/5 pound to make a batch of soup. If he sets aside 2.8 pounds of tomatoes to make spaghetti sauce, how many batches of soup can He make
With 7.2 pounds of tomatoes, Fabian can make 3 batches of soup since each batch requires 2.4 pounds of tomatoes.
Explanation:First, let's understand the total quantity of tomatoes Fabian has to make soup. He harvested a total of 10 pounds and set aside 2.8 pounds for spaghetti sauce. So, he has 7.2 pounds of tomatoes left to make soup. Every batch of soup needs 2 2/5 pounds of tomatoes which is equivalent to 2.4 pounds. To find out how many batches of soup he can make, divide the total weight of tomatoes he has for the soup by the weight each batch needs. Therefore, 7.2 divided by 2.4 gives 3 batches of soup.
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The perimeter of a rectangle is 44 ft. the length is 6 ft longer than the width. find the dimensions. write a system of linear equations and solve the resulting system. let x be the length and y be the width.
In a certain class of students, there are 10 boys from wilmette, 5 girls from kenilworth, 10 girls from wilmette, 7 boys from glencoe, 5 boys from kenilworth and 6 girls from glencoe. if the teacher calls upon a student to answer a question, what is the probability that the student will be from kenilworth?
when you divide a whole number by a fraction with a numerator of 1, explain how you can find the quotient
Write an expression that is equivalent to 3x3x3x3x3x3x3 ?!?!?!
The expression 3x3x3x3x3x3x3 is equivalent to 3⁷.
Given that an expression 3x3x3x3x3x3x3, we need to write an equivalent expression to it,
The expression that is equivalent to 3x3x3x3x3x3x3 can be simplified using the exponentiation operation.
In mathematics, when you have a number or variable multiplied by itself multiple times, you can represent it using exponentiation.
In this case, we have the number 3 multiplied by itself 7 times. Using exponentiation, we can rewrite this expression as 3⁷.
The exponent 7 indicates that the base number, which is 3, should be multiplied by itself 7 times. So, 3⁷ means 3 multiplied by itself 7 times.
When we calculate 3⁷, we get the result 2187.
Therefore, the expression 3x3x3x3x3x3x3 is equivalent to 3⁷.
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Evaluate 10x^2y^-1 for x=3 and y=2
Answer:
[tex]10x^{2} y^{-1}[/tex] for x=3 and y=2 is 45.
Step-by-step explanation:
In order to evalue the given expression [tex]10x^{2}y^{-1}[/tex] you have to rewrite it as a fraction, using the property for a negative exponent which says that [tex]y^{-1}[/tex] can be written as [tex]\frac{1}{y}[/tex]
You obtain: [tex]\frac{10x^{2} }{y}[/tex]
Now, you have to replace the given values of x and y in the previous expression:
x=3 and y=2
[tex]\frac{10(3)^{2} }{2}[/tex]
Solving the square:
[tex]\frac{(10)(9)}{2}[/tex]
Solving the multiplication and division:
[tex]\frac{90}{2} = 45[/tex]
The answer is 45
Yvonne put $4000 in a savings account. At the end of three years, the account had earned $960 in simple interest. A. How much does she have in her own account at the end of three years? B. What annual simple interest rate did the account grow? Show your work. C. How many more dollars would she have in her account if the interest rate were 1% greater? Show your work.
What is 21/16 simplified
A potato chips manufacturing facility uses 1/6 of a barrel of oil in each batch. The facility used 2/3 of a barrel of oil yesterday. How many batches of potato chips did the facility make? A. 2/3 B. 1/4 C.2 D.4
Answer:
Option D. 4 batches
Step-by-step explanation:
A potato chips manufacturing facility uses 1/6 barrel of oil in each batch and we have to find the batches of potato chips manufactured in 2/3 of a barrel.
We will use unitary method to solve this question.
∵ [tex]\frac{1}{6}[/tex] barrel is required to manufacture batch = 1
∴ 1 barrel is required to manufacture batches = 1 ÷ [tex]\frac{1}{6}[/tex]
∴ [tex]\frac{2}{3}[/tex] barrel is required to manufacture batches = [tex](\frac{1}{\frac{1}{6}})(\frac{2}{3})=(\frac{6}{1})(\frac{2}{3})=6.\frac{2}{3}=4[/tex]
Therefore Option D.4 is the correct option.
What is the difference between sin and cosine
What are the direction indices for a vector that passes from point 34 1 12 to point 14 12 1 in a cubic unit cell? please indicate negative directions by a "-" sign before the integer and omit spaces between numbers?
The direction indices for a vector passing from point (34, 1, 12) to point (14, 12, 1) are calculated by subtracting the coordinates of the starting point from the ending point, resulting in the indices [-20 11 -11].
Explanation:The student asked for the direction indices of a vector passing from point (34, 1, 12) to point (14, 12, 1) in a cubic unit cell. To determine the direction indices, we need to subtract the coordinates of the initial point from the coordinates of the final point. The resulting vector ∆r will have components ∆x, ∆y, and ∆z as follows:
∆x = 14 - 34 = -20∆y = 12 - 1 = 11∆z = 1 - 12 = -11Therefore, the direction indices for the vector are written without spaces and with negative signs for negative directions. In this case, the direction indices would be [-20 11 -11].
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A picture contains 2/3 quart of lemonade If an equal amount of lemonade is poured into each of six classes how much lemonade will each class contain