Answer:
x = 15Step-by-step explanation:
[tex]\text{If}\ \angle1\ \text{and}\ \angle2\ \text{are complementary, then}\ \angle1+\angle2=90^o.\\\\\text{We have:}\\\\\angle1=x^o\\\angle2=(3x+30)^o\\\\\text{Substitute:}\\\\x+(3x+30)=90\\\\(x+3x)+30=90\qquad\text{subtract 30 from both sides}\\\\4x=60\qquad\text{divide both sides by 4}\\\\x=15[/tex]
The value of x is 52.5.
Explanation:The value of x can be determined by examining the given equations:
x = 15x = 30x = 37.5x = 52.5Since x is a variable, it can take on different values. In this case, the value of x is 52.5 because that is the only value that satisfies the given equations.Learn more about Value of x here:https://brainly.com/question/26914436
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PLEASE HELP 15 POINTS
The circumference would be 213.6283 cm and the area would be 3,631.68 cm^2
if a car can go 200 miles and 6 hours how far can it go in 7 hours Please answer fast!
Answer:
233.33333 miles in 7 hours
Step-by-step explanation:
233.33333 miles in 7 hours
Two supplementary angles are congruent. Which equation gives the measure in degrees, d, of each angle?
Final answer:
Two congruent supplementary angles both measure 90 degrees each. The equation representing their measures is 2d = 180, where d stands for the degree measure of each angle.
Explanation:
If two supplementary angles are congruent, this means that they have the same measure. Supplementary angles add up to 180 degrees. Given that we have two congruent angles, let's name the measure of each angle as d. Therefore, the equation we are looking for will add the two angles together to equal 180 degrees.
The equation that gives the measure of each angle in degrees is:
d + d = 180
Since we have two of the same angles, we can simplify this to:
2d = 180
By dividing both sides of the equation by 2, we find that:
d = 90
Therefore, the measure of each congruent supplementary angle is 90 degrees.
Linda is flying two kites. She has 99 feet of string out to one kite and 112 feet out to the other kite. The angle formed by the two strings is 39° as shown in the figure below. Find the distance between the kites
Answer:
71.49134 feet
Step-by-step explanation:
Side a = 112
Side b = 99
Side c = 71.49134
Angle ∠A = 80.37° = 80°22'11" = 1.40272 rad
Angle ∠B = 60.63° = 60°37'49" = 1.0582 rad
Angle ∠C = 39° = 0.68068 rad
: )
The distance between the kites will be 128.16 feet.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
Linda has 99 feet of string out to one kite and 112 feet out to the other kite.
And, The angle formed by the two strings is 39°.
Now,
Find the distance between the kites as;
Since, Linda has 99 feet of string out to one kite and 112 feet out to the other kite.
And, The angle formed by the two strings is 39°.
Let the distance between the kites = x
So, We can formulate as;
x² = (112)² + 99² - 2 × 112 × 99 cos 39°
Solve for x as;
x² = 12,544 + 9,801 - 22,176 × 0.267
x² = 22,345 - 5,921
x² = 16,424
x² = √16,424
x = 128.16
Thus, The distance between the kites will be 128.16 feet.
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Congruent means same size and same shape. which is the mathmatical symbol for congruent?
The answer is the fourth choice , I think
The symbol for congruent in mathematics is ≅. It signals that two figures have the same shape and size, and is vital in ensuring dimensional consistency in equations, analogous to ensuring that measurements are directly comparable.
Explanation:The mathematical symbol for congruent is ≅. This symbol is used to denote that two figures are of the same size and shape. When dealing with equations, it is important that both sides of the equation have the same dimensions, meaning they can be directly compared or equated. For instance, you cannot sensibly add two quantities of different dimensions, similar to the saying "You can't add apples and oranges". In geometry, congruent figures are identical in form and dimension, just as measurements must be commensurate within equations to maintain dimensional consistency.
Another important concept in mathematics and physics is dimensional analysis, where different physical quantities are expressed with respect to their basic unit dimensions, such as length (L), mass (M), and time (T). Comparing measurements of different units also falls under this analysis. To indicate two measurements are related but not necessarily the same, we can use inequality symbols or symbols like ≈ (approximately) when numbers are close in value but not exactly equal.
Two equations are shown:
Equation A
y = −3x − 2
Equation B
y equals 3 over x plus 5
Which statement best compares the graphs of the two equations?
Both are nonlinear.
Both are linear.
Equation A is nonlinear and equation B is linear.
Equation A is linear and equation B is nonlinear.
Equation A is linear and equation B is nonlinear
Answer:
Equation A is linear and equaiton B is nonlinear
Step-by-step explanation:
Equation A respresents a straight line with a x-intercept of x=-3/2 and a y-intercept of y = -2. This equation is linear because it is a first degree polynomical equation with x^1 = x
Equation A is not a linear equation and is written as :
[tex]y=3/(x+5)[/tex]
This is a rational function but it is not linear because x is in the denominator and not numerator.
round 249,982 to the nearest hundred
Hundred (100) means the 3rd number from the right, which is: 249,982 . So use the number before that (further to the right) to determine whether you will round up or stay the same, which is 249,982
The number before the hundreds spot (8) is greater then 5, therefore we will round the number in the hundreds spot up 1
Since the number above 9 is 10 you will have to round the number in the thousands spot up as well
249,982
And it looks like the number in the thousands spot is 9 and the next number up is 10. This means you will have to round the number in the ten thousands place up 1
249,982
so...
250,000
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
250000
Step-by-step explanation:
hundred thousand ten thousand thousand, hundred ten one
2 4 9 , 9 8 2
We are rounding to the nearest hundred, so we look at the tens place
8 ≥5 so we round the hundreds place up
9 will round to 10 so the thousands place gets one bigger and the hundreds place is a zero
9 will become to 10 so the ten thousands place gets one bigger at 5 and the thousands place is a zero
249,982 becomes 250,000
Makayla has $8 to buy tickets at the school fair. Each ticket costs $1.50. Which inequality
best represents how many tickets she can buy?
n = number of tickets
-
-
-
A. n<5
B. n< 6
C. n<8
The tickets she can buys N<5
We have given that
"Makayla has $8 to buy tickets at the school fair. each ticket costs $1.50"
What is the formula for tickets makayla buys?Total number of money=cost for each ticket × (N)
can be written as,
[tex]$8 = (1.50/ticket)*N.[/tex]
Dividing both sides by ($1.50/ticket) results in
[tex]N=\frac{8}{1.50/ticket}[/tex]
[tex]N=\frac{8}{1.50/ticket}\\\\N= 5 \frac{1}{3} tickets[/tex]
N=5.33
Therefore tickets she can buys N=5(1/3) or < 5.
The tickets she can buys N<5.
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Find the value of the following expression:
(2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28
Write your answer in simplified form. Show all of your steps.
Answer:
25
Step-by-step explanation:
Expression: (2⁸ ⋅ 5⁻⁵ ⋅ 19⁰)⁻² ⋅ (5⁻²/2³)⁴ ⋅ 2²⁸
Inner-most powers: 2⁻¹⁶ • 5¹⁰ • 1 • 5⁻⁸/2¹² • 2²⁸
Combine like terms: 2¹² • 5²/2¹²
Cancel out: 5²
Solve: 25
The expression (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5^-2/(2^3)^4 ⋅ 2^28 simplifies to 2^24 * 5^8.
Explanation:To find the simplified form of the expression (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5^-2/(2^3)^4 ⋅ 2^28, you use the properties of exponentiation.
First, any number to the power of 0 is always 1, so 19^0 is 1. Also, any number to a negative power is just the inverse of that number to the positive power. Thus, 5^−5 becomes 1/(5^5). So, the part in parentheses simplifies as follows:
2^8 ⋅ 5^−5 ⋅ 19^0 = 2^8 * 1/(5^5) * 1 = 2^8 / 5^5.
To raise this fraction to the negative 2 power, you swap the numerator and the denominator and raise it to the positive 2 power:
[tex](2^8 / 5^5)^-2 = (5^5 / 2^8)^2 = 5^1^0 / 2^1^6.[/tex]
Next, we tackle the second part of the expression: 5^(-2) / (2^3)^4 = 1/(5^2) / 2^12 = 2^12 / 5^2.
Finally, we multiply this by 2^28.
So, the entire expression simplifies to:
[tex]5^1^0 / 2^1^6 * 2^1^2 / 5^2 * 2^2^8 = 5^1^0 * 2^1^2 * 2^2^8 / (2^1^6 * 5^2) = 5^8 * 2^2^4 = 2^2^4 * 5^8[/tex]
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Eliminate the parameter. X= 6 cos t and y= 3 sin t
To eliminate 't' from the parametric equations X=6cos t and Y=3sin t, square both equations and substitute the resulting cos^2 t and sin^2 t values into the trigonometric identity equation sin^2 t + cos^2 t = 1. This results in the equation X^2 / 36 + Y^2 / 9 = 1, effectively eliminating 't' from the equations.
Explanation:Eliminating the Parameter for X=6cos t and Y=3sin t
Our goal here is to eliminate the parameter 't' from the two given equations, which is a common task in parametric equations.
For such problems involving sin and cos, we can use the trigonometric identity sin^2 t + cos^2 t = 1. However, the provided equations don't directly represent sin t or cos t. To bring them in those forms, we start by squaring both equations.
Squaring X and Y yields: X^2 = 36cos^2 t and Y^2 = 9cos^2 t.
Next, we solve each equation for cos^2 t and sin^2 t separately.
cos^2 t = X^2 / 36 and sin^2 t = Y^2 / 9.
Substituting these values into the trigonometric identity equation, we get: X^2 / 36 + Y^2 / 9 = 1 which is the equation of an ellipse in x and y. Hence, 't' has been eliminated.
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To eliminate the parameter x = 6 cos t and y = 3 sin t, you can express x in terms of y as x = cos(t) and substitute it into the equation y = 3 sin(t), resulting in y = 3 sin(arccos(x)).
To eliminate the parameter in this case, we need to express x in terms of y. We can start by dividing the equation X = 6 cos(t) by 6 to get x = cos(t). Then we can substitute this expression for x in the equation y = 3 sin(t) to get[tex]y = 3 sin(cos^(-1)(x)).[/tex]
Since [tex]cos^(-1)(x)[/tex]is the inverse of cosine, we can rewrite this as y = 3 sin(arccos(x)).
So, when we eliminate the parameter, we have the equation y = 3 sin(arccos(x)).
what is one step equation
Answer:
Solving One-Step Equations. A one-step equation is as straightforward as it sounds. You will only need to perform one step in order to solve the equation. One goal in solving an equation is to have only variables on one side of the equal sign and numbers on the other side of the equal sign
Step-by-step explanation:
ex: 3x-9=25
Give brainlist plzzz
Answer:
Step-by-step explanation:
A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.
Answer by Khan Academy
While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff runs 5 miles. He plans on increasing the number of miles he runs a day by 1 for the remainder of the week. Write a series to model the situation.
Also the series doesn't have to be more than seven numbers*****
Answer:
The series is 5 , 6 , 7 , 8 , 9 , 10 , 11
Step-by-step explanation:
* Lets revise the arithmetic series
- In the arithmetic series there is a constant difference between
each two consecutive numbers
- Ex:
# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)
# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)
# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)
* General term (nth term) of an Arithmetic series:
- If the first term is a and the common diffidence is d, then
U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d
- So the nth term is Un = a + (n – 1)d, where n is the position of the
number in the series
* Lets solve the problem
- Jeff wants to increase the number of miles he runs each day
∴ He will add the initial value by constant number each day
- He plans on increasing the number of miles he runs a day by 1
∴ The constant value is 1 mile
- On the first day of training, Jeff runs 5 miles
∴ The first value is 5 miles
∴ The series is arithmetic
∵ a = 5 , d = 1
- He do that for the remainder of the week
∵ The week has 7 days
∴ The series has 7 terms
∵ The rule of the series is Un = a + (n - 1)d
∵ a = 5 and d = 1
∴ Un = 5 + (n - 1)(1)
∴ Un = 5 + n - 1
∴ Un = 4 + n ⇒ n is the position of the number
- Substitute n from 1 to 7 to find the series
∴ The series is 5 , 6 , 7 , 8 , 9 , 10 , 11
Answer:
the next answer is arithmetic, and then 56 miles
Step-by-step explanation:
I just did on edge :)
Rewrite the expression with rational exponents as a radical expression.
Answer:
Option D is correct.
Step-by-step explanation:
We are given [tex]\sqrt[5]{x^7}[/tex]
We know that[tex]\sqrt[5]{x} = x^\frac{1}{5}[/tex]
and we are given:
[tex]\sqrt[5]{x^7}\\ We\,\, can\,\, write\,\, as\,\,\\x^\frac{7}{5}[/tex]
So, Option D is correct.
what is the interquartile range of this data set 2, 5, 9, 11, 18, 30, 42, 48, 71, 73, 81
Answer:
I believe the answer is 62.
Step-by-step explanation:
Hope my answer has helped you!
What is the relationship between 1 meter and 1 centimeter?
Answer:
It was first used as “centi” by the French, who introduced the measurement when they created the metric system. When used as centi, it is defined as one-hundredth of a unit. Thus, a meter is 100 cm, or a centimeter is one-hundredth of a meter.
Step-by-step explanation:
A cone has a radius of 9 units and height of 8 units. What is its volume?
Answer:
V-678.58
Step-by-step explanation:
it is volume so it is 678.58
For this case we have that by definition, the volume of a cone is given by:
[tex]V = \frac {1} {3} \pi * r ^ 2 * h[/tex]
Where:
A: It's the radio
h: It's the height
We have by the statement of the problem that:
[tex]r = 9 \ units\\h = 8 \ units[/tex]
Substituting:
[tex]V = \frac {1} {3} \pi * r ^2 * h\\V = \frac {1} {3} \pi * 9 ^ 2 * 8\\V = \frac {1} {3} \pi * 81 * 8\\V = \frac {1} {3} \pi * 648\\V = 216 \pi[/tex]
Answer:
[tex]216 \pi \ units ^ 3[/tex]
I don’t even know where to start please help
Answer:
12
Step-by-step explanation: we will use pathogorean theorem because there is a right triangle. a^2+b^2=c^2
We know BE=9 we need AE to find AB
You can make another triangle on the end. AD=28 - 12 (BC) = 16
16/2 = 8 so AE= 8
8^2+9^2=c^2
145=c^2
Square root of 145=c
C=12.04
Ryan created the two-way table below to describe his scoring in his soccer team’s wins and losses last season. Ryan’s Scoring in Wins and Losses Team Won Team Lost Ryan Scored 6 4 Ryan Did Not Score 9 11 In what percentage of the team’s wins did Ryan score a goal?
Answer: There is 40% of team's win that Ryan score a goal.
Step-by-step explanation:
Since we have given that
Team Won Team lost
Ryan scored 6 4
Did not score 9 11
(by Ryan)
-------------------------------------------------------------------------
Total 15 15
Percentage of team's win that Ryan score a goal is given by
[tex]\dfrac{6}{15}\times 100\\\\=40\%[/tex]
Hence, there is 40% of team's win that Ryan score a goal.
Answer:
40%
Step-by-step explanation:
because I said so.
What’s the square root of 12?
Answer:
2√3
Step-by-step explanation:
√2^2x3
√2^2 √3
2√3 (answer)
Answer:
[tex]\large\boxed{\sqrt{12}=2\sqrt3\approx3.46}[/tex]
Step-by-step explanation:
[tex]\sqrt{12}=\sqrt{4\cdot3}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt3=2\sqrt3\\\\\text{If you want to get an approximate value, use the calculator:}\\\\\sqrt{12}\approx3.46[/tex]
What is the solution set of –x2 – 6 < 0?
Answer:
x>-3 is the answer hope it helps
Answer:
4 or up
Step-by-step explanation:
A cube with 2-inch sides is placed on a cube with 3-inch sides. Then a cube with 1-inch sides is placed on the 2-inch cube. What is the surface area of the three cube tower? Show your work.
Answer:
Step-by-step explanation:
5 sides of the top cube is exposed.
so we get 1*1*5 = 5 in ^2
the second cube has 4 sides exposed also, so 2^2 * 4 = 16 in ^2, but also it has one side with the cube on top, so we have 4-1 = 3 on that side, so the overall is 19 in ^2
Then we have for the 3rd cube 5 sides exposed, so we have 3^2 * 5 = 45. We also have the area of the 2 in cube on it, so we get 3^2 - 2^2 = 9-4 =5.
So the overall is 45+5+19+5 = 55+19 =74
I hope im right sorry if im not!
The surface area of the three cube tower is 71 square inches.
Calculating the Surface Area of a Three Cube Tower
To find the surface area of the three cube tower, we need to carefully consider how the cubes are stacked and which faces are exposed.
Calculate the surface area of each individual cube:
For the 3-inch cube:Each face is 3x3 = 9 sq. inches. Since a cube has six faces, the total surface area is 6 x 9 = 54 sq. inches.
2. For the 2-inch cube:
Each face is 2x2 = 4 sq. inches. The surface area is 6 x 4 = 24 sq. inches.
3. For the 1-inch cube:
Each face is 1x1 = 1 sq. inch. The surface area is 6 x 1 = 6 sq. inches.
Consider overlapping faces between stacked cubes:
The 2-inch cube is placed on the 3-inch cube, covering one face of the 3-inch cube. This means 9 sq. inches of the 3-inch cube's surface area is not visible.The 1-inch cube is placed on the 2-inch cube, covering one face of the 2-inch cube. This means 4 sq. inches of the 2-inch cube's surface area is not visible.Combine the visible surface areas:
Visible surface area of the 3-inch cube = 54 - 9 = 45 sq. inches.Visible surface area of the 2-inch cube = 24 - 4 = 20 sq. inches.Visible surface area of the 1-inch cube remains 6 sq. inches since no face is covered.Sum the final visible surface areas: 45 + 20 + 6 = 71 sq. inches.Therefore, the surface area of the three cube tower is 71 square inches.
simplify (11-2i)+(-3+6i)
Answer:
8+4i
Step-by-step explanation:
You use the formula a+bi
You add the whole numbers which equal a (11 + -3)
You add the imaginary numbers which equal bi (-2i+6i)
You get 8+4i
I need help with question 12
The last one❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
The last one Is correct
Jeff's salary is 25% higher than Josh's. By how many percents is Josh's salary less than Jeff's?
-Hello There-
Great Question!
It is 20%. Assume Josh is 100000 and Jeff is 125000
The formula is (Jeff- Josh)/Jeff * 100 = (25000)/100000 *100 = 20%
Have A Great Day!
A
6‐sided
die
is
rolled
and
then
a
coin
is
flipped
during
the
process
of
a
game.
Jacob
wins
the
game
if
a
tail
is
flipped
and
an
even
number
is
rolled.
Amanda
wins
the
game
if
a
head
is
flipped
on
the
coin.
a. How
many
different
outcomes
are
there?
b. What
is
the
probability
that
Jacob
wins?
c. What
is
the
probability
that
Amanda
wins?
d. Is
the
game
fair?
e. Are
there
any
outcomes
where
the
game
is
not
decided?
Answer:
Step-by-step explanation:
die rolled and coin flipped
Jacob wins if tail and even number
Amanda wins if head
Outcomes,
1H 2H 3H 4H 5H 6H
1T 2T 3T 4T 5T 6T
12 outcomes.
b) Prob of Jacob winning (tail and even number)
2T 4T 6T
3/12 total outcomes
1/4 probability
c) prob of Amanda winning (head)
6/12
1/2
d) the game is not far because both people do not have equal chances of winning
e) Yes, Tail and odd is where the outcome is not decided.
There are 12 different outcomes. The probability that Jacob wins is 1/4, and the probability that Amanda wins is 1/2. The game is not fair. There are no outcomes where the game is not decided.
Explanation:To find the number of different outcomes, we need to multiply the number of outcomes for flipping the coin and rolling the die. For flipping a coin, there are 2 possible outcomes (H or T), and for rolling a 6-sided die, there are 6 possible outcomes (1, 2, 3, 4, 5, or 6). Therefore, the total number of different outcomes is 2 * 6 = 12.
To find the probability that Jacob wins, we need to find the number of favorable outcomes for Jacob (tail and even number) divided by the total number of outcomes. There are 3 favorable outcomes (T2, T4, T6) out of 12 total outcomes, so the probability is 3/12 = 1/4.
To find the probability that Amanda wins, we need to find the number of favorable outcomes for Amanda (head) divided by the total number of outcomes. There are 6 favorable outcomes (H1, H2, H3, H4, H5, H6) out of 12 total outcomes, so the probability is 6/12 = 1/2.
The game is fair if the probabilities of winning for Jacob and Amanda are equal. Since the probabilities are different (1/4 for Jacob and 1/2 for Amanda), the game is not fair.
There are no outcomes where the game is not decided since there is always a tail or a head flipped and a number rolled on the die, resulting in a win for one of the players.
Ranger used your advice to simplify the following expression. Follow Ranger’s steps to complete the simplified expression.
4(2x – 5)
1. Distribute the 4 through the parentheses:
4(2x) − 4(5)
2. Find each product:
(blank) x − 20
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]4(2x-5) \\ \\ 4(2x)-4(5) \\ \\ 4*2=8 \\ \\ 8x-20[/tex]
For this case we have the following expression:
[tex]4 (2x-5) =[/tex]
We simplify according to the steps of Ranger.
We apply distributive property to the terms within parentheses.[tex]4 * (2x) -4 * (5) =[/tex]
We find each product:
[tex]8x-20[/tex]
Answer:
The simplified expression is 8x-20
An "8" is placed in the blank space
(HURRY) Janet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. How many liters of the 15% solution is Januet using in the mixture? a. 25 liters c. 28 liters b. 7 liters d. 10 liters Please select the best answer from the choices provided A B C D
Answer:
c. 28 liters
Step-by-step explanation:
Given tha tJanet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. Now we need to find about how many liters of the 15% solution is Januet using in the mixture.
Let the number of liters of the 15% solution is Januet using in the mixture = x
Let the number of liters of the 35% solution is Januet using in the mixture = y
Then we get equations:
x+y=35...(i)
and
(15% of x) + (35% of y) = 19% of 35.
or
0.15x+0.35y=0.19(35)
15x+35y=19(35)
3x+7y=19(7)
3x+7y=133 ...(ii)
solve (i) for x
x+y=35
x=35-y...(iii)
Plug (iii) into (ii)
3x+7y=133
3(35-y)+7y=133
105-3y+7y=133
105+4y=133
4y=133-105
4y=28
y=28/4
y=7
plug y=7 into (iii)
x=35-y=35-7=28
Hence final answer is c. 28 liters
Answer: C on edge:)
Step-by-step explanation:
Amanda got a new cell phone and used 95 text message in the first two weeks. In those two weeks, she had used 38% of her total messages for the month. How many total available text messages did Amanda have for the month?
Answer:
D
Step-by-step explanation:
95 texts is 38% of her total messages.
95 = 0.38 × x
x = 95 / 0.38
x = 250
A football coach is trying to decide: When a team is ahead late in the game,
which strategy is better?
Divide the number of wins by total games for each type of defense:
Regular defense = 41 /50 = 0.82
Prevent Defense = 32/50 = 0.64
The decimal is higher for regular defense, so it is more likely to win by playing regular defense.
The last choice is the right one.
Answer:
D apex
Step-by-step explanation:
What are the values of the coefficients and constant term of 0 = 4 – 7x2 + x in standard form?
a =
b =
c =
ANSWER
[tex]a = - 7[/tex]
[tex]b = 1[/tex]
[tex]c = 4[/tex]
EXPLANATION
The given quadratic equation is:
[tex]0 = 4 - 7 {x}^{2} + x[/tex]
We rewrite in the standard quadratic equation form to obtain,
[tex] - 7 {x}^{2} + x + 4 = 0[/tex]
Comparing this to the general standard quadratic equation.
[tex]a {x}^{2} + bx + c = 0[/tex]
We have my
[tex]a = - 7[/tex]
[tex]b = 1[/tex]
[tex]c = 4[/tex]
Quadratic equations can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared.
The coefficients are a = -7, b = 1 and constant term c = 4.
GivenThe given quadratic equation is;
[tex]\rm -7x^2+x+4=0[/tex]
What is a quadratic equation?Quadratic equations can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared.
The general form of the quadratic equation is;
[tex]\rm ax^2+ bx + c = 0[/tex]
Where x is an unknown variable and a, b, c are numerical coefficients.
On comparing the given equation with the quadratic equation the values of coefficient and constant terms are;
[tex]\rm ax^2+ bx + c = 0[/tex]
[tex]\rm -7x^2+x+4=0[/tex]
Here, a = -7, b = 1, c = 4
Hence, the coefficients are a = -7, b = 1 and constant term c = 4.
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