The probability of picking a 7 and then picking a number greater than 7 is [tex]\dfrac{1}{3}[/tex] or [tex]0.\overline{3}[/tex].
ProbabilityProbability shows us the chances of an event occurring.
[tex]\bold{Probability =\dfrac{Desired\ Outcome}{Total\ number\ of\ outcomes\ possible}}[/tex]
Now, given that we have already picked three cards. therefore, 7, 8, and 9.
The number of possible outcomes is 3.
the probability of card 7,[tex]\bold{Probability(7) =\dfrac{Number\ 7(1)}{Total\ number\ of\ outcomes\ possible (3)}= \dfrac{1}{3}}[/tex]
Now, as card seven is already picked up cards 8 and 9 are the only card left.
therefore, the sample size(possible outcomes) was reduced to 2 only.
Also, cards 8 and 9 both are greater than 7, thus the desired outcome is also 2.
Further the probability of the number greater than 7 occurring,
[tex]\bold{Probability(n>7) =\dfrac{cards\ 8\ and\ 9(2)}{Total\ number\ of\ outcomes\ possible (2)}= \dfrac{2}{2} = 1}[/tex]
Probability picking a number greater than 7The probability of picking a 7 and then picking a number greater than 7
= Probability of card 7 occuring x probability of card 8 and 9 occurring
[tex]=\dfrac{1}{3}\times 1[/tex]
[tex]=\dfrac{1}{3}[/tex]
Hence, the probability of picking a 7 and then picking a number greater than 7 is [tex]\dfrac{1}{3}[/tex] or [tex]0.\overline{3}[/tex].
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what is the area of a trapezoid that has a bases measuring 19 cm and 23 cm, and a height of 14 cm?
[tex]s = \frac{a + b}{2} \times h[/tex]
S = (19+23)/2×14
S = 42/2×14
S = 21×14
S = 294 cm^2
Answer294
Step-by-step explanation:
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.
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!
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.
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.
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.
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
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)).
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.
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:
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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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.
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
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
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]
4−1+1/4−1/16+... Find the sum of the infinite geometric series, if it exists.
Answer:
The sum is [tex]S=\frac{16}{5}=3.2[/tex]
Step-by-step explanation:
To find the sum of the infinite geometric series we must first find the common ratio r.
The series is:
4-1 + 1 / 4-1 / 16 +
[tex]r =\frac{a_{n+1}}{a_n}[/tex]
[tex]r=\frac{-1}{4}=-\frac{1}{4}\\\\r=\frac{\frac{1}{4}}{-1}=-\frac{1}{4}[/tex]
Then the common ratio r is
[tex]r=-\frac{1}{4}[/tex]
The first term is: [tex]a_1=4[/tex]
By definition when [tex]0 <| r | <1[/tex] then the sum of the infinite sequence is:
[tex]S=\frac{a_1}{1-r}\\\\S=\frac{4}{1-(-\frac{1}{4})}\\\\S=\frac{4}{\frac{5}{4}}\\\\S=\frac{16}{5}[/tex]
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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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:
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
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!
If the price of upholstery fabric is $12.49 per yard, how much will 16 yards cost? A. $201.04 B. $199.94 C. $199.84 D. $189.84
Answer:
C. $199.84
Step-by-step explanation:
The price of an upholstery fabric is $ 12.49 per yard.
This means that 1 yard costs $ 12.49
Now we want to find the cost of 16 yards of the upholstery fabric.
We just have to multiply $12.49 by 16.
We multiply to obtain:
[tex]12.49\times 16=199.84[/tex]
Therefore 16 yards will cost $ 199.84
The correct answer is C.
(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:
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
Suppose an isosceles triangle abc has a=pi/4 and b=c=4. What is the length of a^2?
The correct option is C.
In an isosceles triangle ABC with base angles A and the sides b and c equal, you can use the Law of Cosines to find the length of the other side (a) in terms of b and c. The Law of Cosines is given by:
[tex]\[a^2 = b^2 + c^2 - 2bc \cos(A)\][/tex]
Given that A = π/4, b = c = 4, you can substitute these values into the equation:
[tex]\[a^2 = 4^2 + 4^2 - 2 \cdot 4 \cdot 4 \cos\left(\frac{\pi}{4}\right)\][/tex]
Simplify the expression:
[tex]\[a^2 = 16 + 16 - 32 \cos\left(\frac{\pi}{4}\right)\][/tex]
Now, you know that [tex]\(\cos\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}\)[/tex], so substitute that in:
[tex]\[a^2 = 16 + 16 - 32 \cdot \frac{\sqrt{2}}{2}\][/tex]
[tex]\[a^2 = 32 - 16\sqrt{2}\][/tex]
Now, factor out 16 from the expression:
[tex]\[a^2 = 16(2 - \sqrt{2})\][/tex]
So, the correct answer is:
[tex]\[a^2 = 4^2(2 - \sqrt{2})\][/tex]
Complete the question:
Suppose an isosceles triangle ABC has A= π /4 and b=c=4. What is the length of a^2 ? A. 4^2sqrt(2) B. 4^2(sqrt(2)-2) C. 4^2(2-sqrt(2)) D. 4^2(2+sqrt(2))
Final answer:
By applying the Pythagorean theorem to the 45-45-90 isosceles triangle, we find that since both the sides a and b are 4, the square of side a is a² = 16.
Explanation:
In the context of an isosceles triangle with sides labeled a, b, and c, where side a is opposite angle A and side b equals side c, we can utilize the Pythagorean theorem to find the length of side a given that it's a right triangle. The Pythagorean theorem states:
a² + b² = c².
Given that angle A = π/4 radians (45 degrees), it implies that triangle ABC is a 45-45-90 right triangle, which tells us that sides a and b are equivalent in length. Under these conditions, the Pythagorean theorem simplifies to:
2a² = c².
We're given that b = 4, accordingly a would also be 4 (since a=b in an isosceles right triangle), and we're asked to find the length of a². Squaring side a, we get:
a² = 4² = 16.
Therefore, the length of a² is 16.
I need help with question 12
The last one❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
The last one Is correct
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 :)
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:
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.
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]
For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.
graph of f of x equals 0.5 to the x power, minus 6.
Answer:
[tex]-\frac{7}{3}[/tex]
Step-by-step explanation:
To solve this, we are using the average rate of change formula:
[tex]m=\frac{f(b)-f(a)}{b-a}[/tex]
where
[tex]m[/tex] is the average rate of change
[tex]a[/tex] is the first point
[tex]b[/tex] is the second point
[tex]f(a)[/tex] is the function evaluated at the first point
[tex]f(b)[/tex] is the function evaluated at the second point
We want to know the average rate of change of the function [tex]f(x)=0.5^x-6[/tex] form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, [tex]a=-3[/tex] and [tex]b=0[/tex].
Replacing values
[tex]m=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}[/tex]
[tex]m=\frac{1-6-(8-6)}{3}[/tex]
[tex]m=\frac{-5-(2)}{3}[/tex]
[tex]m=\frac{-5-2}{3}[/tex]
[tex]m=\frac{-7}{3}[/tex]
[tex]m=-\frac{7}{3}[/tex]
We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is [tex]-\frac{7}{3}[/tex]