Answer: answer is -16
Step-by-step explanation:
Substitute the values of x and y into the equation to give
(3 + (-5)) (3-(-5))
(3-5) (3+5)
(-2) (8)
-16
30% of the tickets sold at the Sweet Tarrant School carnival were early-admission tickets. If the school sold 200 tickets in all, how many early-admission tickets did it sell?
On Monday, Zach sends an e-mail message
to 4 friends. On Tuesday, each of these
friends forwards the message to 4 people. On
Wednesday, each of these people forwards
the message to 4 other people.
1. How many people were sent the
message on Wednesday? Explain
how you know.
On Wednesday, 64 people were sent the message as each of the 16 recipients forwarded the message to 4 other people.
Explanation:To determine the number of people sent the message on Wednesday, we need to consider the number of people who received the message on each day. On Monday, Zach sent the message to 4 friends, so there were 4 recipients. On Tuesday, each of the 4 friends forwarded the message to 4 other people, resulting in a total of 4 friends x 4 recipients = 16 recipients. On Wednesday, each of these 16 recipients forwarded the message to 4 other people, resulting in a total of 16 recipients x 4 recipients = 64 people sent the message on Wednesday.
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Which equation is equivalent y= 3x^2-15x+18
Answer:
Two solutions were found :
x = 6
x = -1
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(3x2 - 15x) - 18 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
3x2 - 15x - 18 = 3 • (x2 - 5x - 6)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 5x - 6
The first term is, x2 its coefficient is 1 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 1 • -6 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .
-6 + 1 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1
x2 - 6x + 1x - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
1 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-6)
Which is the desired factorization
Equation at the end of step 3 :
3 • (x + 1) • (x - 6) = 0
In Conclusion, the answer would be 0.
ted popped a baseball straight up with an initial velocity of 48 ft/s. The height, h, in feet, of the ball above the ground is modeled by the function h(t)=-16t2 +48t+3. How long was the ball in the air if the catcher the ball 3 feet above the ground?
Answer:
3 seconds
Step-by-step explanation:
We have to give us the following function h (t) = - 16 * t ^ 2 + 48 * t + 3
Now, they tell us that the height is 3 feet, therefore replacing that value we have left:
3 = -16 * t ^ 2 + 48 * t + 3, operating cancels 3. And it would be:
-16 * t ^ 2 + 48 * t = 0
Removing common factor -16 * t, it would be:
(-16 * t) * (t - 3) = 0
We have two solutions:
-16 * t = 0 ---> t = 0
t - 3 = 0 ---> t = 3
Because the time cannot be 0 seconds, the time it would take the ball in the air is 3 seconds.
The ball was in the air for 3 seconds.
Explanation:To find how long the ball was in the air when the catcher caught it 3 feet above the ground, we need to solve for t in the equation -16t^2 + 48t + 3 = 3. Simplifying the equation, we get -16t^2 + 48t = 0. Factoring out 16t, we have 16t(-t + 3) = 0. Setting each factor equal to zero, we find two solutions: t = 0 and t = 3 seconds. Since we are only interested in the time the ball was in the air, we discard the solution t = 0 and conclude that the ball was in the air for 3 seconds.
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Find the surface area of number 2
Answer:
190 cm^2
Step-by-step explanation:
Base: 10 × 3 = 30 (×2 = 60)
Small faces: 5 × 3 = 15 (×2 = 30)
Larger faces: 5 × 10 = 50 (×2 = 100)
Add: 100 + 60 + 30 = 190
I’m stuck... does anyone know the answer?
2cm=6ft.
Length=6cm=3×(2cm)=>3×6=18ft
Width=4cm=2×(2cm)=>2×6=12ft.
Answer: 3rd option, length=18ft, width=12ft
After being rearranged and simplified, which two of the following equations
could be solved using the quadratic formula?
A. 5x + 2x - 4 = 2x2
B. x2 - 6x - 7 = 2x
C. 5x2 – 3x+ 10 = 2x2
D. 2x2 – 3x+ 10 = 2x2 + 21
Answer:
A. 5x + 2x - 4 = 2x2 <- Yes
x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4
B. x^2 - 6x - 7 = 2x <- Yes
x = 4 + sqrt(23) or x = 4 - sqrt(23)
C: 5x^2 – 3x+ 10 = 2x2 <- Yes
x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)
D . 2x^2 – 3x+ 10 = 2x^2 + 21x = -11/3 <- No
Step-by-step explanation:
Solve for x over the real numbers:
5 x + 2 x - 4 = 2 x^2
5 x + 2 x - 4 = 7 x - 4:
7 x - 4 = 2 x^2
Subtract 2 x^2 from both sides:
-2 x^2 + 7 x - 4 = 0
Divide both sides by -2:
x^2 - (7 x)/2 + 2 = 0
Subtract 2 from both sides:
x^2 - (7 x)/2 = -2
Add 49/16 to both sides:
x^2 - (7 x)/2 + 49/16 = 17/16
Write the left hand side as a square:
(x - 7/4)^2 = 17/16
Take the square root of both sides:
x - 7/4 = sqrt(17)/4 or x - 7/4 = -sqrt(17)/4
Add 7/4 to both sides:
x = 7/4 + sqrt(17)/4 or x - 7/4 = -sqrt(17)/4
Add 7/4 to both sides:
Answer: x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4
______________________________________________
Solve for x over the real numbers:
x^2 - 6 x - 7 = 2 x
Subtract 2 x from both sides:
x^2 - 8 x - 7 = 0
Add 7 to both sides:
x^2 - 8 x = 7
Add 16 to both sides:
x^2 - 8 x + 16 = 23
Write the left hand side as a square:
(x - 4)^2 = 23
Take the square root of both sides:
x - 4 = sqrt(23) or x - 4 = -sqrt(23)
Add 4 to both sides:
x = 4 + sqrt(23) or x - 4 = -sqrt(23)
Add 4 to both sides:
Answer: x = 4 + sqrt(23) or x = 4 - sqrt(23)
_________________________________________________
Solve for x:
5 x^2 - 3 x + 10 = 2 x^2
Subtract 2 x^2 from both sides:
3 x^2 - 3 x + 10 = 0
Divide both sides by 3:
x^2 - x + 10/3 = 0
Subtract 10/3 from both sides:
x^2 - x = -10/3
Add 1/4 to both sides:
x^2 - x + 1/4 = -37/12
Write the left hand side as a square:
(x - 1/2)^2 = -37/12
Take the square root of both sides:
x - 1/2 = 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)
Add 1/2 to both sides:
x = 1/2 + 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)
Add 1/2 to both sides:
Answer: x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)
________________________________________________
Solve for x over the real numbers:
2 x^2 - 3 x + 10 = 2 x^2 + 21
Subtract 2 x^2 + 21 from both sides:
-3 x - 11 = 0
Multiply both sides by -1:
3 x + 11 = 0
Subtract 11 from both sides:
3 x = -11
Divide both sides by 3:
Answer: x = -11/3
Answer: A. 5x + 2x - 4 = 2x2 <- Yes
x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4
B. x^2 - 6x - 7 = 2x <- Yes
x = 4 + sqrt(23) or x = 4 - sqrt(23)
C: 5x^2 – 3x+ 10 = 2x2 <- Yes
x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)
D . 2x^2 – 3x+ 10 = 2x^2 + 21x = -11/3 <- No
Step-by-step explanation:Solve for x over the real numbers:
5 x + 2 x - 4 = 2 x^2
5 x + 2 x - 4 = 7 x - 4:
7 x - 4 = 2 x^2
Subtract 2 x^2 from both sides:
-2 x^2 + 7 x - 4 = 0
Divide both sides by -2:
x^2 - (7 x)/2 + 2 = 0
Subtract 2 from both sides:
x^2 - (7 x)/2 = -2
Add 49/16 to both sides:
x^2 - (7 x)/2 + 49/16 = 17/16
Write the left-hand side as a square:
(x - 7/4)^2 = 17/16
Take the square root of both sides:
x - 7/4 = sqrt(17)/4 or x - 7/4 = -sqrt(17)/4
Add 7/4 to both sides:
x = 7/4 + sqrt(17)/4 or x - 7/4 = -sqrt(17)/4
Add 7/4 to both sides:
Answer: x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4
______________________________________________
Solve for x over the real numbers:
x^2 - 6 x - 7 = 2 x
Subtract 2 x from both sides:
x^2 - 8 x - 7 = 0
Add 7 to both sides:
x^2 - 8 x = 7
Add 16 to both sides:
x^2 - 8 x + 16 = 23
Write the left-hand side as a square:
(x - 4)^2 = 23
Take the square root of both sides:
x - 4 = sqrt(23) or x - 4 = -sqrt(23)
Add 4 to both sides:
x = 4 + sqrt(23) or x - 4 = -sqrt(23)
Add 4 to both sides:
Answer: x = 4 + sqrt(23) or x = 4 - sqrt(23)
_________________________________________________
Solve for x:
5 x^2 - 3 x + 10 = 2 x^2
Subtract 2 x^2 from both sides:
3 x^2 - 3 x + 10 = 0
Divide both sides by 3:
x^2 - x + 10/3 = 0
Subtract 10/3 from both sides:
x^2 - x = -10/3
Add 1/4 to both sides:
x^2 - x + 1/4 = -37/12
Write the left-hand side as a square:
(x - 1/2)^2 = -37/12
Take the square root of both sides:
x - 1/2 = 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)
Add 1/2 to both sides:
x = 1/2 + 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)
Add 1/2 to both sides:
Answer: x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)
________________________________________________
Solve for x over the real numbers:
2 x^2 - 3 x + 10 = 2 x^2 + 21
Subtract 2 x^2 + 21 from both sides:
-3 x - 11 = 0
Multiply both sides by -1:
3 x + 11 = 0
Subtract 11 from both sides:
3 x = -11
Divide both sides by 3:
Answer: x = -11/3
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Expreessions represent The sum of 3 and n
Answer:
3+n
Step-by-step explanation:
Simple questions but it can be technical atimes, according to the question we are to solve in terms of n, simple...
The sum of 3 and n can be written as 3+n
This cannot be solved further because there are two different variables and it is impossible to add them together
Therefore the final answer is 3+n
But in case a value is given for n we can then substitute and solve further
Hope this will help you
Answer:
Step-by-step explanation:
n+3
3+n
I need a bit of help. Evaluate the expression: -11²
Answer:
-121
Step-by-step explanation:
-11² = -1 × 11² = -1 × 121 = -121
Answer:
If the negative is included in the square, that makes the number positive.
(-11)^2 = 121
If the negative is not included in the square, that makes the number negative.
-(11^2) = -121
True or False: Order of Operation says to simpliy within parenteheses
Answer:
True.
Step-by-step explanation:
It says to work out what is in parentheses first, (PEMDAS).
For example:
2(5 - 3) - 1
5 - 3 = 2 so we have:
2 * 2 - 1
= 4 - 1
= 3.
Karen earns $62.25 for working 9 hours. if the amount she earns varies with the number of hours she works how much will she earn for working 15 hours? round to the nearest hundredth
Answer:
$103.75
Step-by-step explanation:
we know that
Karen earns $62.25 for working 9 hour
so
using proportion
Find out how much she will earn for working 15 hours
[tex]\frac{62.25}{9}\ \frac{\$}{h}=\frac{x}{15}\ \frac{\$}{h}\\\\x=62.25(15)/9\\\\x=\$103.75[/tex]
Figure the 7% sales tax on $2.19 bottle of window cleaning solution and a gel pen which costs $2.75.
PLZ HELP I WILL GIVE OUT TONS OF POINTS!
Answer:
sales tax on a bottle of window cleaning solution = $0.1533
sales tax on a gel pen=$0.1925
Step-by-step explanation:
The price of bottle of window cleaning solution = $2.19
Sales tax =7%
Applying the tax, 7/100 * 2.19 = $0.1533
The price of a gel pen = $2.75
Applying the sales tax;
7/100 * 2.75 = $0.1925
The 7% sales tax on a $2.19 bottle of window cleaning solution and a $2.75 gel pen is around $0.35.
Explanation:To calculate the 7% sales tax on a $2.19 bottle of window cleaning solution and a $2.75 gel pen, you first need to find the total cost of the items. Add $2.19 and $2.75 which equals $4.94. This is your base amount on which you will calculate the sales tax.
To get the tax amount, multiply the total cost by the tax rate as a decimal (7% = 0.07). So, $4.94 * 0.07 = $0.35 approximately. This will be the sales tax charged on these items.
Therefore, if you buy a window cleaning solution and gel pen, you would pay around $0.35 in taxes assuming a 7% sales tax.
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Find the volume of a rectangular prism that has base 6 inches long and 9 inches wide. The height
of the prism is 4 inches.
Answer:
The answer is 216 I got It wrong at first but the other answer has it right so I changed mine so no one gets confused.
Step-by-step explanation:
Answer:
216 inches is the volume
Step-by-step explanation:
multiply length times width times height
Please simplify: (-2b^3)^4-3(-2b^4)^3
5(9 + p) = 125 find a
Answer: p = 16
Step-by-step explanation: 125 divided by 5 is 25
then subtract 25 by 9 to get 16 so p = 16
hope this helps please mark brainliest
anyone got the answer Simplify 2x + x.
The Simplification of the expression of 2x + x can be written as 3x
What is Simplification of expression ?A mathematical expression is simplified when it is expressed in the simplest way possible. The expression is usually reduced to its simplest form by using fundamental features of numbers, exponents, algebraic principles, etc. to eliminate any repetitions or redundancies.
Given that 2x + x
Then we can factorize as
x(2+1)
=(x*3)
=3x
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When Justin goes to work, he drives at an average speed of 60 miles per hour. It takes about 1 hour and 30
minutes for Justin to get to work. His car travels about 25 miles per gallon of gas. If gas costs $3.65 per
gallon, how much money does Justin spend on gas to get to work?
Answer:
$13.14
Step-by-step explanation:
60 mi/1 hour = x mi/1.5 hours
x = 90 mi to drive to work
25 mi/1 gallon = 90 mi/y gallons
y = 3.6 gallons to get to work
$3.65/1 gallon = $z/3.6 gallons
z = $13.14
Justin spends $13.14 on gas to get to work.
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The average speed of Justin when he goes to work is 60 miles/hour.
The time taken to reach to work is 1 hour 30 minutes.
Justin's car travels 25 miles for 1 gallon of gas.
The cost for one gallon of gas is $3.65 per gallon.
The total miles travelled is 60 miles/ hour * 1 hour 30 minutes.
Total miles travelled = 60 * (1.5)
Total miles travelled = 90 miles
The gas used for 25 miles is 1 gallon
The gas used for 90 miles is 90/25 = 3.6 gallon.
The cost of gas is $3.65 per gallon
The cost of 3.6 gallon is 3.65 *3.65
The cost of the gas used to get to work is $13.14.
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What type of number is 4π
?
A
Irrational number
B
Rational number
C
Integer
D
Whole number. PLEASE PLEASE HELP ME
Answer: irrational number
Step-by-step explanation:
4π is an irrational number.
Explanation:The number 4π is an irrational number. An irrational number is a number that cannot be expressed as a fraction. In this case, 4π is the product of the rational number 4 and the irrational number π. Since π is an irrational number, their product, 4π, is also an irrational number.
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Please help! Help would be appreciated! I am having a brain fart, or maybe I'm just dumb.
What are the factors of 49?
Idk if there is any, but idk.
Thanks!
Answer:
1,7,49
Step-by-step explanation:
Answer: 7 squared
Step-by-step explanation:
49 = 1 x 49 or 7 x 7.
Factors of 49: 1, 7, 49.
Prime factorization: 49 = 7 x 7
which can also be written 49 = 7².
Help plz ~_~
Which number can be added to the data so that the range of the data will be 55?
56, 81, 54, 47, 45, 94
Answer:
39 or 100
Step-by-step explanation:
45 47 54 56 81 94
Range is 94 - 45 = 49
Either add 100 or 39 to the set.
94+6 = 100
45-6 = 39
what’s the mean of 14,9,20,5,17,13
Answer:
13
Step-by-step explanation:
14+9+20+5+17+13 = 78
78/6= 13
To find the mean you always add all the data and then divide it by the amount of data.
There are 350 calories in 1 1/2 cups of spaghetti. Two cups of spaghetti have
Answer: 466.67 calories in 2 cups of spaghetti
Step-by-step explanation: if there are 350 calories in 1 1/2 cups of spaghetti you only need have a cup to make 2 cups then 1/3 of 350 calories is 116.67
so 350 + 116.67= 466.67
please give brainliest
This question pertains to Health in Middle School.
Explanation:The subject of this question is Health and the grade level is Middle School.
Explain why is equal to the sum of the measures of the two nonadjacent interior angles. **What is the name of the property?***
Exterior Angle Property
Step-by-step explanation:
Interior Angle :
The angle formed with in the closed boundary of the triangle is called an interior angle.
In the given figure, α , β and γ are interior angles.
Exterior Angles:
The angle formed outside the closed boundary of the triangle is called an exterior angle.
In the given figure, γ' is an exterior angles.
Sum of the measures of the two non-adjacent interior angles is EQUAL to measure of an exterior angle of a triangle.
⇒ α + β = γ'
This property is known as " Exterior Angle Property"
Also, here angles γ and γ' are making a linear pair.
γ + γ' = 180°
Quadrilateral ABCD is inscribed in this circle.
What is the measure of ZA?
Enter your answer in the box.
Given:
ABCD is a cyclic quadrilateral.
m∠C = 43°
To find:
The measure of ∠A.
Solution:
In cylic quadrilateral, opposite angles are supplementary.
⇒ m∠A + m∠C = 180°
⇒ m∠A + 43° = 180°
Subtract 43° from both sides.
⇒ m∠A + 43° - 43° = 180° - 43°
⇒ m∠A = 137°
The measure of ∠A is 137°.
Nick and Tasha are buying supplies for a camping trip. They need to buy chocolate bars to make s’mores, their favorite campfire dessert. Each of them has a different recipe for their perfect s’mores
Nick likes to use 12 of Chocolate bar to make a s’more. Tasha will only eat a s’more that’s is made 25 of a chocolate bar. What fraction of chocolate will nick and Tasha use in total if they each eat one s’more?
Answer:
9/10
Step-by-step explanation:
first you find the lowest common denominator. 1/2 becomes 5/10, 2/5 becomes 4/10. 5/10+4/10=9/10
What are the end behaviors of f(x) = -2(x - 2)5?
O
A. Both ends go down.
O
B. The left end goes down; the right end goes up.
O'C. Both ends go up.
O
D. The left end goes up; the right end goes down.
Answer:
Step-by-step explanation:
D.The left end goes up and the right end goes down because this is a first order function
The end behavior of the function f(x) = -2(x - 2)^5 is that the left end goes up and the right end goes down. This is determined by the odd degree and negative leading coefficient of the function.
Explanation:The end behaviors of a function can be determined by looking at the highest degree term, also known as the leading term. In this case, for the function f(x) = -2(x - 2)^5, the highest degree is odd (5), and the coefficient, -2, is negative.
Odd degree with a negative leading coefficient means that the end behaviors of this function will be: as x approaches negative infinity (moves left), the function values will go toward positive infinity (up), and as x approaches positive infinity (moves right), the function values will go toward negative infinity (down).
So the correct option here is: D. The left end goes up; the right end goes down.
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5 Points
What is the equation of a circle with center (2, -3) and radius 3?
O A. (x-2)* - (y +3) - 9
O B. (x - 2)* +(y + 3) - 9
O C. (x - 2)2 +(y+3)? - 3
O D. (x + 2) + (y - 3) - 9
Answer:
(x - 2)² + (y + 3)² = 9
Step-by-step explanation:
(x - h)² + (y - k)² = r²
(x - 2)² + (y - (-3))² = 3²
(x - 2)² + (y + 3)² = 9
The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.
The correct option is (B).
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.
As per the given data:
We are given the coordinates for the center of a circle and the measure of the radius of the circle. We have to find out the equation of the circle
The coordinates of the center of the circle (O) = (2, -3)
The radius of the circle = 3
The standard equation of the circle with center (h, k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
By substituting (h, k) ⇒ (2, -3) and r = 3
(x - 2)^2 + (y + 3)^2 = 3^2
= (x - 2)^2 + (y + 3)^2 = 9
The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.
Hence, The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.
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The curriculum committee at Larchmont High School wants to offer a new elective course next year. They decide to survey Larchmont's 150015001500 students to determine which course students would prefer. The choices are History of Art, Robotics, and Money and You.
Answer:
This is khan answear
Assign a number to each student, and use a computer program to generate 150150150 random numbers between 111 and 150015001500. Ask those students whose numbers are selected.
Step-by-step explanation:
Answer:
Assign a number to each student, and use a computer program to generate 150 random numbers between 1 and 150. Ask those students whose numbers are selected.
Step-by-step explanation:
HELP ME PLEASE I BEG YOU
Answer:
∠ K = 35° and ∠ L = 105°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
let ∠ K = x then ∠ L = 3x
Sum the angles and equate to 180
3x + x + 40 = 180, that is
4x + 40 = 180 ( subtract 40 from both sides )
4x = 140 ( divide both sides by 4 )
x = 35
Thus
∠ K = 35° and ∠ K = 3x = 3 × 35 = 105°
A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards
numbered 2 through 10, a jack, a queen, a king, and an ace.
Zhi Qing decides to pick one card at random from a standard deck of 52 cards. Let A be the event that she
chooses a three card and B be the event that she chooses a seven card.
What is P(A or B), the probability that the card Zhi Qing chooses is either a three or a seven?
Answer:
[tex]\frac{2}{13}[/tex]
Step-by-step explanation:
In probability,
"OR" means "addition"
"AND" means "multiplication"
We want probability of A "OR" B, that means we find each individual probability and "ADD" them.
P(A) means P(choosing a 3 card):
There are 4 three-cards, 1 from each suit, and a total of 52 cards, so
P(A) = 4/52 = 1/13
P(B) means P(choosing a 7 card):
There are 4 seven-cards, 1 from each suit, and a total of 52 cards, so
P(B) = 4/52 = 1/13
Now,
P(A or B) = P(A) + P(B) = 1/13 + 1/13 = 2/13
The answer is [tex]\frac{2}{13}[/tex]
Answer: 2/13
Step-by-step explanation: