Answer:
A = 3
B = -7
C = -12
Step-by-step explanation:
3x^2−7x=12.
The standard form for a quadratic equation is
Ax^2 +Bx +C =0
Subtract 12 from each side
3x^2−7x-12=12-12
3x^2−7x-12=0
A = 3
B = -7
C = -12
Answer:
a = 3
b = -7
c = -12
Step-by-step explanation:
General form of a quadratic:
ax² + bx + c
Given:
3x² − 7x = 12
3x² - 7x - 12 = 0
Comparing the two:
a = 3
b = -7
c = -12
Geri used coupons at the grocery store and received a discount of $40.94. Once her discount was subtracted, the final cost of her purchases was $122.80. What was the approximate percent decrease in the price of her groceries due to the coupons? 15% 20% 25% 30%
Answer:
25%
Step-by-step explanation:
$122.80 + $40.94 = $163.74
$163.74 - 25% = $122.80
Answer:
The answer is C
Step-by-step explanation:
122.80 plus 40.94 equals 163.74
163.74 subtract 25% equals 122.80
Please help. Question is below.
Answer:
P'Q' = 4
A'B' =3
M'N' =6
Step-by-step explanation:
Multiply each length by the scale factor to determine the new length
PQ *2 = 2*2 = 4
P'Q' = 4
AB *2 = 1.5*2 = 3
A'B' =3
MN *2 = 3*2 = 6
M'N' =6
The sum of a number and 14 is at least 18
The inequality fir the given phrase is x+14≥18, the solution for the obtained inequality is x≥4.
The given phrase is "The sum of a number and 14 is at least 18".
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let the unknown number be x.
Here, the inequality is x+14≥18
Subtract 14 on both the sides of an inequality, we get
x+14-14≥18-14
x≥4
Therefore, the inequality fir the given phrase is x+14≥18, the solution for the obtained inequality is x≥4.
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Final answer:
The sum of a number and 14 is at least 18' can be expressed as the inequality x + 14 >= 18, indicating that the unknown number must be 4 or greater.
Explanation:
The student's question involves setting up an inequality to represent the situation described.
The problem statement, 'The sum of a number and 14 is at least 18,' translates to a mathematical inequality as follows:
Let 'x' represent the unknown number.
The problem states that when you add 14 to this number, the result should be at least 18. Therefore, the inequality would be:
x + 14 >= 18.
To solve this inequality, you would subtract 14 from both sides:
x = 18 - 14
x = 4
This means the unknown number must be 4 or any larger number. In other words, any number greater than or equal to 4, when added to 14, will be at least 18.
Help with mathematics
Answer:
ok
Step-by-step explanation:
At a carnival, you spin a spinner that has four equal-sized sections, each a different color: green, yellow, red, and blue. If you land on green, you win 2 points. If you land on yellow, red, or blue, you lose 1 point. Write the expected value equation. E (V) = StartFraction 1 Over a EndFraction (2) + StartFraction 1 Over b EndFraction (c) + StartFraction 1 OVer d EndFraction (e) + StartFraction 1 Over f EndFraction (g) a = b = c = d = e = f = g =
Answer:
a = 4
b = 4
c = -1
d = 4
e = -1
f = 4
g = -1
Step-by-step explanation:
To get the expected value equation you have to multiplicate the probability of each outcome by its reward and add them. The probability to get each color is 1/4 because the spinner has four equal-sized sections. If you win money, your reward is positive, but if you lost it, your reward is negative. Then:
expected value equation. E (V) = (1/4)*2 + (1/4)*(-1) + (1/4)*(-1) + (1/4)*(-1) = -0.25
Answer:
A 4
B 4
C -1
D 4
E -1
F 4
G -1
-0.25 points
lose 250 points
Will give brainliest and 100 points
Becker and Kayla are members of the school chess team. They record the number of games they each play for 10 days. The data are shown.
Becker: 5,2,4,1,1,4,5,3,2,1
Kayla: 2,3,1,1,4,1,5,3,5,5
Based on the data, which estimate represents the mean number of games chess team members play per day?
Answer:
Kayla plays on average 0.2 more chess games than Becker
Step-by-step explanation:
The first thing we must do is calculate the mean of each one.
Becker:
(5 + 2 + 4 + 1 + 1 + 4 + 5 + 3 + 2 + 1) / 10 = 2.8
Kayla:
(2 + 3 + 1 + 1 + 4 + 1 + 5 + 3 + 5 + 5) / 10 = 3
if we subtract these averages, we have to:
3 - 2.8 = 0.2
which means that Kayla plays on average 0.2 more chess games than Becker. Since it is not even a complete game, the difference between the two is very small and almost irrelevant.
Which of the following best describes the volume of a prism? the product of the height and base the product of the height and base area the sum of the height and base area the sum of the height and base
your answer would be the product of the height and base
Answer:
the product of the height and base area
Step-by-step explanation:
In January, Ben was charging $25 for individual hitting
lessons and in April started charging $30. What percent
did he increase his prices? _ _%
20% percentage increase in prices from $25 to $30.
To calculate the percentage increase:
Calculate the increase in price: $30 - $25 = $5
Calculate the percent increase: ($5 / $25) x 100% = 20%
Therefore, Ben increased his prices by 20%.
You want to estimate the number of eighth-grade students in your school who find it relaxing to listen to music. You consider two samples. Which sample is unbiased?
fifteen randomly selected members of the band
every fifth student whose name appears on an alphabetical list of eighth-grade students
Question 2
Explain.
You want to estimate the number of twelfth-grade students in a high school who ride a bus to school. Which sample is unbiased?
A. 4 students in the hallway
B. all students on the soccer team
C. 50 twelfth-grade students at random
D. 100 students at random during lunch
explain
The communications monitoring company Postini has reported that 91% of email messages
are spam. Suppose your inbox contains 25 messages.
What is the mean of the number of real messages you should expect to find in your inbox?
Answer:
The mean of the number of real messages you should expect to find in your inbox is 22.75
Step-by-step explanation:
According to the given data we have the following:
reported spam email messages percenatge=91%
number of messages in inbox=25
Therefore, In order to calculate the mean of the number of real messages you should expect to find in your inbox we would have to use the following formula:
Mean ( np ) =number of messages in inbox*reported spam email messages percenatge10 * 0.6 = 6
Mean ( np ) =25 *0.91= 22.75
The mean of the number of real messages you should expect to find in your inbox is 22.75
To find the mean of real messages in an inbox, subtract the percentage of spam messages from 100% to obtain the real message percentage. The mean number of real messages is then calculated by finding 9% of the total number in the inbox. For an inbox with 25 messages, the mean number of real messages would be 2.25.
Explanation:To find the mean number of real messages we would expect in an inbox containing 25 emails, we need to utilize percentages first. According to the data given by Postini, 91% of email messages are spam, which implies that the rest, 9% (100% - 91%), are real messages.
To find the expected number of real messages, we calculate 9% of the total number of messages, in this case, 25. This calculation leads us to:
0.09 * 25 = 2.25
Therefore, the mean number of real messages we can expect to find in an inbox of 25 messages is 2.25.
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Please help! Just reflections.
Answer:
The new points will be:
A" - (-4, -5)
B" - (-4, -2)
C" - (-1, -2)
Answer:
i added a photo with the answer :)
Step-by-step explanation:
Ben wants to try a new restaurant for dinner. His online search
resulted in 7 new 3-star restaurants, 5 new 4-star restaurants, and 3
new 5-star restaurants. If he were to choose a restaurant at random,
what is the probability that he chooses a 5-star restaurant?
Select one:
33%
20%
47%
3%
A coin and a die is rolled. What is the probability of a head and a 3?
a. 1/4
b. 1/8
c. 1/12
d. 1/24
Please help ASAP and thank you sm!
What is the measure of each exterior angle of the right triangle?
x = _°
y = _°
z = _°
Answer:
X=90 degrees, Y=134 degrees, Z=136 degrees
Step-by-step explanation:
X=90 degrees. It is supplementary to the right angle or forms 180 degrees with it.
The triangle angles add up to 180 degrees. Therefore, the angle supplementary to Y is 180-(90+44)=46. Now, 180-46=134. You could also use the exterior angle theorem which states that the exterior angle is equal to the sum of the two remote interior angles. The 2 remote interior angle to y would be 90 and 44. 90+44=134=y.
Z is supplementary to 44 because it is also 180 degrees. Z=180-44=136 degrees.
Answer:
x = 90
y = 134
z = 136
Step-by-step explanation:
The right angle measures 90 degrees.
x + 90 = 180
x = 90
z + 44 = 180
z = 136
Theorem:
The measure of an exterior angles of a triangle equals the sum of the measure of the two remote interior angles.
Using the theorem, we get
y = 90 + 44
y = 134
Answer:
x = 90
y = 134
z = 136
can anyone help me with this question?
Answer:
I Believe its A
Step-by-step explanation:
IM so sorry if its wrong!!!!
but im pretty sure its right
Fine x (in image) in the first one
Answer:
x = 58
Step-by-step explanation:
We can use algebra to solve this one! Since <FAE + <FA= 180 we can write :
x + 7 + 2x -1 = 180
Let's simplify the left side to :
3x + 6 = 180
Subtract 6 to isolate the variable.
3x = 174
Divide both sides by 3 to get
x = 58
List the next 4 multiples of the fraction 2/6
Answer:
1/3 x 1
1/6 x 2
1/12 x 4
1/24 x 8
Step-by-step explanation:
just multiply the denominator by 2 and also multiply the number youre multiplying the fraction with by 2 and you'll continue to get multiples with equivilant fractions.
hope this heps!
Please mark brainliest :)
n Pensacola, Florida, the average rainfall in the month of July is $7.40$ inches. By October, the average rainfall decreases by $35\%$ . By December, the average rainfall drops another $0.66$ inches.
Answer:
Olani???
Why are you here?
(East harlem scholars academy teacher)
Step-by-step explanation:
The average rainfall in December is 4.15 inches. Therefore option C is the answer.
Given that, in Pensacola, Florida, the average rainfall in the month of July is 7.40 inches. By October, the average rainfall decreases by 35%. By December, the average rainfall drops another 0.66 inches.
We need to find the average rainfall, in inches, in December.
What is average rainfall?The term "average annual rainfall" refers to the sum of the yearly precipitation totals for a location during a year as determined by the nearest National Weather Service station over the three decades prior.
In July, rainfall was 7.40 inches. By October, the average rainfall decreases by 35%.
That is, 7.40-35% of 7.40
=7.40-0.35 × 7.40
=7.40-2.59=4.81
By December, the average rainfall drops another 0.66 inches.
That is, 4.81-0.66=4.15
The average rainfall in December is 4.15 inches. Therefore option C is the answer.
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Your question is incomplete, probably the complete question/missing part is:
In Pensacola, Florida, the average rainfall
in the month of July is 7.40 inches. By
October, the average rainfall decreases by
35%. By December, the average rainfall
drops another 0.66 inches.
What is the average rainfall, in inches, in
December?
A. 1.64
B. 1.93
C. 4.15
D. 4.81
Which choice gives the x-value for the equation y = -8 +x/2
?
Answer:
what are the choices
Step-by-step explanation:
Answer:
2y+16=x (last choice)
Step-by-step explanation:
Please help! in geo!
Answer:
pretty sure it would be 11 inches
Step-by-step explanation:
the rules of isosceles triangles is that two sides are the same and one is smaller.
Answer:
the missing side is 11 inches
Step-by-step explanation:
the missing angel is 37*
The formula to determine the period of one swing of a simple pendulum is T=2π√L/g, where L is the length of the string and g is the acceleration due to gravity. Solve the formula to solve for L in terms of π, T and g.
Answer:
g= L/(T/2π)²
Step-by-step explanation:
To solve for L in the equation T=2π√L/g, we square both sides to get T² = 4π²L/g. Then, multiplying both sides by g gives gT² = 4π²L. Finally, dividing by 4π² gives the rearranged formula L = gT²/(4π²).
Explanation:The initial formula T=2π√L/g denotes the period of one swing of a simple pendulum, where T is the period, L is the length of the string, and g is the acceleration due to gravity. To solve for L, we first need to square both sides of the equation to get rid of the square root, resulting in T² = 4π²L/g. Then we multiply both sides by g to get gT² = 4π²L. Finally, we divide both sides by 4π² to solve for L: L = gT²/(4π²). This is the rearranged formula to solve for the length of the pendulum in terms of π, T, and g.
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Henry can lay a brick walkway by himself in 12 hours. Roberts does the same job in 10 hours. Working together, how long will it take them to lay the brick walkway?
Please I need the answer right away!
Answer:
Henry = 12 hours
Robert = 10 hours
that 2 people
so 12/ divided by how many people
and 10/ divided by how many people
so 12/2
and 10/2
= 5 and 6
then find the (median) middle of both numbers one or more
which is 5 1/2
so they can finish working together in 5 1/2 hours
A smaller circle passes through the center of, and is tangent to, a larger circle. The area of the smaller circle is 9 square units. What is the area of the larger circle in square units?
Answer:
Area of bigger circle = 36.32cm²
Step-by-step explanation:
Kindly find attached rough sketch for your reference
This problem bothers on the mensuration of flat shapes, a circle
Kindly find attached
Given data
Area of small circle =9cm³
Say we assume the all unit is in cm
From the diagram we can see that the diameter of the small circle is the radius of the bigger circle
So let us solve for the diameter of the small circle
9= πr²
r²=9/3.142
r²= 2.86
r=√2.86
r= 1.7cm
But diameter of small circle
d= 2r
d= 1.7*2= 3.4cm
Hence the radius of the bigger circle is 3.4cm
Area of bigger circle =πr²
=3.142*3.4²
=3.142*11.56
Area of bigger circle = 36.32cm²
which view is not correct for the figure above?
Answer:
Front
Step-by-step explanation:
Line M is represented by the following equation: x – y = 8 Which equation completes the system that is satisfied by the solution (18, 10)? (4 points) 2x – y = 26 x + y = 18 2x – 2y = 36 x – y = –28
[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]
you flip a coin and what is p (not tails
Answer:
1/2
Step-by-step explanation:
cause there only 2 sides and one of those sides tails and the other heads and to not get tails it would be 1/2
Choose the number that is a solution of the inequality: a + 9 < 5
A) -2
B) 5
C) 0
D) -5
( i kept getting -4 am i wrong or are the choices wrong?)
Answer:
d: -5
Step-by-step explanation:
when you plug in all the answer choices -5 is the only true answer
Will give brainliest.
A candy company is designing the packaging for its new candy bar. the bars will be packed in cartons which are 1 foot long, 1 foot wide, and 1 foot high. how many of these cartons can they pack into the shipping crate which is 5 feet long, 12 feet wide, and 4 feet high?
Answer:
240 cartons
Step-by-step explanation:
First, I need to find the volume of the 2 objects.
If the measurements of the carton is 1 x 1 x 1, ultimately the volume of the carton is 1 cubic foot.
Then, to find the shipping crate volume, multiply 5 x 12 x 4. You will get 240 cubic feet.
Then, we need to find how many cartons can fit in the shipping crate. Divide 240 by 1, and obviously you get 240.
So, 240 cartons can be packed into the shipping crate.
The graph represents this system of equations. A system of equations. y equals 4. y equals 3 minus StartFraction on-half EndFraction x. A coordinate grid with 2 lines. The first line passes through (negative 2, 4) and (0, 3). The second line passes through (negative 2, 4) and (0, 4). What is the solution to the system of equations? (–2, 4) (3, 4) (4, –2) (4, 3)
Answer:
b
Step-by-step explanation:
A coordinate grid with 2 lines. The first line passes through (negative 4, negative 3), (0, negative 3), and (4, negative 3). The second line passes through (0, negative 5) and (2, 4). The lines appear to intersect at about one-half, negative 3.
Solve the system of equations algebraically. Verify your answer using the graph.
y = 4x – 5
y = –3
What is the solution to the system of equations?
((StartFraction one-fourth EndFraction, negative 3), –3)
((StartFraction one-half EndFraction, negative 3), –3)
(–3, (negative 3, StartFraction 2 over 3 EndFraction))
The solution to the system of equations is (-2, 4).
The correct option is A.
We have,
y= 4
and, y= 3 - 1/2 x
To find the solution of Equation put y= 4 in equation 2 we get
4 = 3 - 1/2 x
4 - 3 = -1/2 x
1 = -1/2 x
x = -2
Thus, (-2, 4) is solution of Equation.
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The number of mosquitoes in Minneapolis, Minnesota (in millions of mosquitoes) as a function of rainfall (in
centimeters) is modeled by:
m(x) = -(x - 5)2 + 25
How many centimeters of rainfall will produce the maximum number of mosquitoes?
Answer:
5 cm
Step-by-step explanation:
Given the function:
[tex]m(x)=-(x-5)^{2} +25[/tex]
As we know the above function is a quadratic equation (vertical parabola) open downward and the vertex is the maximum number of mosquitoes.
The vertex form of a quadratic function is:
[tex]y=a(x-h)^{2} +k[/tex] where (h,k) is the vertex
Our given function have the vertex form as well, so the
(h,k) = (5,25)
At the height of 5 cm the rainfall will produce the maximum number of mosquitoes
Final answer:
In the function modeling the number of mosquitoes by rainfall, 5 centimeters of rainfall will produce the maximum number of mosquitoes, corresponding to the vertex of the parabola.
Explanation:
To find the number of centimeters of rainfall that will produce the maximum number of mosquitoes in Minneapolis, Minnesota, we look at the vertex of the parabolic function m(x) = -(x - 5)2 + 25. The vertex form of a parabola is given by f(x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. In this equation, h represents the x-value that results in the maximum y-value for the parabola when a is negative, which corresponds to the maximum number of mosquitoes.
In this case, the vertex of the parabola is (5, 25), which tells us that 5 centimeters of rainfall will produce the maximum number, which is 25 million mosquitoes. This value is represented by h in the vertex form of the equation, indicating that the parabola opens downwards (since the coefficient of the (x - h)2 term is negative) and reaches its maximum at x = 5.