It takes 45 seconds. the easiest way to do these is to use a graphic calculator and replace the variables with x and y, for example, this equation would become -5x^2+30x, and if you don't have access to a graphing calculator, you can always use desmos online.
Answer:
It takes 6 seconds to the rocket to reach the ground after it has been launched
Step-by-step explanation:
The height of a fireworks rocket in meters can be approximated by :
h = -5t² + 30t, where h is the height in meters and t is the time in seconds
Now, we need to find the time it takes the rocket to reach the ground after it has been launched
So, When it touches the ground height will be 0
⇒ h = 0
⇒ 0 = -5t² + 30t
⇒ t² - 6t = 0
⇒ t(t - 6) = 0
Now, since the rocket is launched from above the ground ⇒ t ≠ 0
⇒ t - 6 = 0
⇒ t = 6
Hence, It takes 6 seconds to the rocket to reach the ground after it has been launched
Which Value Is The Eighth Term In The Sequence?
A. -3125
B. -125
C. -625
Answer:
C
Step-by-step explanation:
Substitute n = 8 into the explicit rule
[tex]a_{8}[/tex] = - [tex]\frac{1}{125}[/tex] × [tex]5^{7}[/tex]
= - [tex]\frac{1}{5^{3} }[/tex] × [tex]5^{7}[/tex]
= - [tex]5^{4}[/tex] = - 625 → C
Draw 2 cards from a standard deck of 52 cards. What is the probability that the first card is a queen and the second card is a king?
Answer:
4/663
Step-by-step explanation:
There are four queens. The probability that the first card is a queen is 4/52.
There are four kings. There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.
Therefore, the probability that the first card is a queen AND the second card is a king is:
P = 4/52 × 4/51
P = 4/663
The probability of drawing a queen first and a king second from a standard deck without replacement is 1/663.
The student is asking about the probability of drawing two specific cards from a standard deck of 52 cards. To calculate this probability, we need to consider the sequence of events without replacement. For the first card to be a queen, the probability P(A) is 4/52 because there are 4 queens in a deck of 52 cards. After drawing a queen, there are now 51 cards left in the deck. The chance that the second card is a king, P(B), is then 4/51, as there are still 4 kings but only 51 cards remaining.
The two events are dependent since the outcome of the first draw influences the second. Therefore, the combined probability of both events occurring is found by multiplying the probabilities of each event:
P(A and B) = P(A) × P(B) = (4/52) × (4/51)
This gives us P(A and B) = 1/13 × 1/51, which simplifies to 1/663.
The radius of a circle is 6 inches what is the circumference?
The answer is 37.6991 i hope i answered your question
Charlotte puts a present in a box with a length of 114 ft, a width of 34 ft and a height of 1 foot.
What is the least amount of wrapping paper needed to cover the present box?
Answer:8048ft
Step-by-step explanation: A=2(wl+hl+hw) so 2(34*114)+(1*114)+(1*34)=8048
Simplify -8+6i/4-2i
Answer:
-1.1+0.4i
Step-by-step explanation:
Multiply the numerator and the denominator by [tex]4+2i:[/tex]
[tex]\dfrac{-8+6i}{4-2i}\cdot \dfrac{4+2i}{4+2i}=\dfrac{-32-16i+24i+12i^2}{4^2-(2i)^2}\ \ [\text{use formula }a^2-b^2=(a-b)(a+b)]\\ \\=\dfrac{-32+8i-12}{16-4i^2}\ \ [\text{remember }i^2=-1]\\ \\=\dfrac{-44+8i}{16+4}\\ \\=\dfrac{-44+8i}{20}\\ \\=-\dfrac{11}{10}+\dfrac{4}{10}i\\ \\=-1.1+0.4i[/tex]
Answer:
−11
5
+
2
5
i
Step-by-step explanation:
what is 2x-9y=14 need immediate help
Let's solve for x.
2x−9y=14
Step 1: Add 9y to both sides.
2x−9y+9y=14+9y
2x=9y+14
Step 2: Divide both sides by 2.
2x /2
= 9y+14 /2
x= 9 /2 y+7
We need to solve for x.
2x - 9y = 14
Move the 9y to the right side and use inverse operations.
2x = 14 + 9y
Divide both sides of the equation by 2.
x = 7 + 9/2y or x = 7 + 4.5y
I will attach a picture of the graph as well in case that’s what you were looking for.
James's weekly quiz scores are shown in the stem-and-leaf plot below.
If he drops his scores from the first two weeks, his mode score increases by $2$. How much would his mean score increase?
Answer:
By 0.75
Step-by-step explanation:
From the stem-and-leaf plot you can find James's scores:
79, 81, 83, 83, 83, 85, 85, 88, 94, 99.
The mode is 83 (most often score). If he drops his scores from the first two weeks, his mode score increases by 2. This means that the mode became 85 and the data looks like
79, 81, 83, 85, 85, 88, 94, 99.
Now find two means.
1. The old mean:
[tex]\dfrac{79+81+83+83+83+85+85+88+94+99}{10}=\dfrac{860}{10}=86;[/tex]
2. The new mean:
[tex]\dfrac{79+81+83+85+85+88+94+99}{8}=\dfrac{694}{8}=86.75;[/tex]
Thus, the mean will increase by 0.75.
What is the greatest common factor of the terms in the polynomial 4x^4-32x^3-60x^2?
Answer:
4x^2
Step-by-step explanation:
hope this helps :)
Answer:
ITS CCCCCCCCCCC (4x^2)
what is the scientific name for the study of shopping
Buyology
Hope I helped with this clever pun I’ve said since high school
The required scientific name for the study of shopping is termed oniomania.
What are scientific names?Scientific names are used to provide a name to an organism or object such that two individuals can be sure that they are referring to the same organism.
Oniomania, the scientific name for the study of shopping,
Oniomania shows a strange instinct for buying things. It is an addiction to shopping.
Thus, the required scientific name for the study of shopping is termed oniomania.
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what is 18 mm in cm's
Answer: 1.8 centimeters hope this helps i really need brainlist :)
Answer: answer is 1.8cm
Step-by-step explanation: take 18 and add a decimal in front then move it back 1
Ryan is buying a triangular tract of land. The triangle has a base of 100 yards and a height of 30 yards. What is the area of the tact to land? HELPPPP PLZZZ
Answer:may be crazy but its 300.
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
Area is multiplying the numbers together basically. 100*30=300.
what is the mean of the values in the stem-and-leaf plot into your answer in the Box
Answer:
Step-by-step explanation:
you need more information bu the stem-leaf is meant to split the number
PLEASE HELP WILL MARK BRAINLIEST
-SEE ATTACHMENT-
ANSWER
[tex](x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125[/tex]
EXPLANATION
From the Pascal's triangle,
The coefficients are :
1, 5, 10,10, 5,1
Because of the negative sign, the expansion will alternate sign.
[tex](x - y) ^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5} [/tex]
We now put y=5 into the expansion to get,
[tex](x - 5) ^{5} = {x}^{5} - 5 {x}^{4} (5) + 10 {x}^{3} ( {5}^{2}) - 10 {x}^{2} ({5})^{3} + 5x( {5})^{4} - {5}^{5} [/tex]
[tex](x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125[/tex]
Answer:
(x - 5)^5 = x^5 - 25x^4 + 250x³ - 1250x² + 3125x - 3125
Step-by-step explanation:
The explanation in the attached file
8 Look at the following nutrition label.
Nutrition Facts
Serving Size 1/2 cup (1159)
Servings Per Container About 4
Amount per serving
Calories 250
Calories from Fat 130
% Daily Value
22%
45%
Total Fat 14g
Saturated Fat 9g
how many calories are in 1 cup?
Final answer:
To find the number of calories in one cup, we double the amount of calories in a 1/2 cup serving. In this case, 250 calories are in 1/2 cup, so 500 calories are in one full cup.
Explanation:
To calculate the number of calories in one cup based on the given nutrition label, we can use a simple multiplication. Given that 1/2 cup contains 250 calories, we just need to double this amount, because 1 cup is equivalent to two servings of 1/2 cup each.
The equation to find the calories in one cup is:
Calories per 1/2 cup × 2 = Calories per cup
Therefore, the calculation would be:
250 calories × 2 = 500 calories
So, one cup of the food item contains 500 calories.
If f(x) = x-1/3 and g(x) = 3x+1 , what is the domain of (f*g)(x) ?
Answer:
-∞ < x < ∞
Set of all integers
Step-by-step explanation:
Given in the question two functions
f(x) = [tex]x^{\frac{1}{3} }[/tex] = ∛x
g(x) = 3x + 1
(f*g)(x)
f(g(x))
∛(3x+1)
Domain of (f*g)(x)
In function ∛(3x+1) , variable x can be any integer.
so, the domain is set of all integers
-∞ < x < ∞
Which is the graph of the function f(x)=x^2+2x+3
Answer:
not one of those two...
Step-by-step explanation:
are there other options? when graphed on desmos it looks like this...
The graph of the given function f(x) = x² + 2x + 3 is attached with the answer. It is not from the given two options.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given equation is quadratic f(x) = x² + 2x + 3 so the curve on the graph will be parabolic.
When we put the different values of x in the input function f(x) the output function varies in the form of the parabolic curve the equation is quadratic so it will give two solutions which cut the axis at the points ( 0,3) you can see in the attached graph.
I have attached the correct graph showing the given quadratic equation with the answer below.
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need help asap!!!
A baseball team averages one win to every one loss.The coach tosses three coins to simulate three games.Heads represents a win and tails represents a loss.The results of 10 coin tosses are shown.Find the experimental probability of 3 losses.
(A)1/5
(B)1/4
(C)1/2
A is the correct answer
Answer:
(A) 1/5Step-by-step explanation:
The experimental probability is defined as the ratio between the number of time certain events occurs and the total number of trials.
In this case, there are 10 coin tosses. Notice that there are only two events where the lose three times, that means the probability is
[tex]P=\frac{2}{10}=\frac{1}{5}[/tex]
Which means that in two cases out of ten the lose three games.
Therefore, the right answer is A.
What number replaces the ◊?
15 = 15
15 + 4 + ◊ = 15 + 7
A. 3
B.4
C.19
D. 22
Answer:
The answer is A.
15 + 4 + 3 = 15 + 7
A. 3
First, simplify the equation. (x means the same thing as the symbol)
19 + x = 22
Subtract 19 from both sides of the equation.
x = 22 - 19
x = 3
There’s the answer!
THIS WILL GIVE YOU BRAINLIEST AND 5 STARS!!!!!!
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
-1/2
2
-2
1/2
Alright, so it would be -2 since on a coordinate grid you have the x and y axis. The slope of the line that passes through (-2, 2) and (-4, -2) would be -2.
I hope this helps!~ c:
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (- 4, - 2)
m = [tex]\frac{-2-2}{-4+2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2
What is the length of XY
Answer:
F. 2cmStep-by-step explanation:
If RSTU ≅ XWZY, then RS = XW, RU = XY, ST = WZ and TU = ZY.
RU = 2cm. Therefore XY = 2cm.
subtract (-9x^2+8x-14) from the sum of (-9x^2-10x) and (3x^2+3x+7)
Answer:
[tex]3x^2 - 15x + 21\\or\,\,3(x^2 -5x +7)[/tex]
Step-by-step explanation:
First we will find sum of [tex](-9x^2-10x)\,\, and\,\, (3x^2+3x+7)[/tex]
Adding the like terms:
[tex]= -9x^2-10x + 3x^2 +3x+7\\= -9x^2+ 3x^2 -10x+3x+7\\= -6x^2 - 7x +7[/tex]
Now subtract (-9x^2+8x-14) from (-6x^2 - 7x +7)
[tex]=(-6x^2 - 7x +7) - (-9x^2+8x-14)\\= -6x^2 - 7x +7 +9x^2-8x+14\\= -6x^2 +9x^2 - 7x -8x+7 +14\\= 3x^2 - 15x + 21\\=3(x^2 -5x +7)[/tex]
helppppppppp asappppp pleaseeeee 10 pointssssss
a box of cereal contains 15 ounces of cereal there are 9 servings of cereal in the box each serving of cereal has 140 calories which expression could you use to find the number of calories in 1 ounce of cereal
A 140 - 15 * 9
B 15 * 140 / 9
C (9 * 140) / 15
D 15 * 9 / 140
Answer:
(9 * 140) / 15
Step-by-step explanation:
For each serving it is 140 calories, and there is 9 servings in that cereal. So you want to multiply 9 by 140. And there are 15 ounces in the box so the amount of total calories are to be divided by 15. Thus C should be the right answer.
Suppose P(A) =0.9, P(B) = 0.6, and P(B|A) = 0.2. What is P(A|B)
A) 0.36
B)0.45
C)0.3
D)0.6
P(B|A): P(A and B) / P(A)
P(A and B): P(A)•P(B) so 0.9 • 0.6 = 0.54
P(A|B): 0.54 / 0.9 = 0.6
Answer: D) 0.6
The value of the conditional probability is given by Bayes theorem and the value of P ( A | B ) = 0.1333
What is Bayes Theorem?The likelihood that an event will occur based on the likelihood that a comparable outcome will occur in the future. The theorem offers a method for updating existing predictions or hypotheses in light of fresh or updated data. This is known as conditional probability.
Bayes Theorem states that based on past knowledge of circumstances that could be relevant to the occurrence, the Bayes Theorem estimates the likelihood of an event.
And , P ( A | B ) = [ P ( B | A ) P ( B ) ] / P ( A )
Given data ,
Let the conditional probability be represented as P
Now , the value of P ( A ) = 0.9
The value of P ( B ) = 0.6
The value of P ( B | A ) = 0.2
From the Bayes theorem , we get
P ( A | B ) = [ P ( B | A ) P ( B ) ] / P ( A )
On simplifying , we get
P ( A | B ) = [ 0.2 x 0.6 ] / 0.9
P ( A | B ) = 0.12 / 0.9
P ( A | B ) = 0.1333
Hence , the Bayes theorem is solved
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find the diameter of a circle f a circle with an area of 676pie square centimeters.
[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=676\pi \end{cases}\implies 676\pi =\pi r^2\implies \cfrac{676\pi }{\pi }=r^2 \\\\\\ 676=r^2\implies \sqrt{676}=r\implies 26=r~\hspace{10em}\stackrel{\textit{diameter = 2r}}{52}[/tex]
find the area of the shaded region. round to the nearest hundredth where necessary.
Answer:
this is no picture or any thing to help me to give you a answer
Step-by-step explanation:
Answer:
I am sorry but you don't have a picture.
Step-by-step explanation:
What is the interquartile range of the following data set? 45,12,48,96,61,84,29,1,72,5,14
Answer:
60
Step-by-step explanation:
Population size : 11
To calculate inter-quartile range
Order the data from least to greatest.Find the median.Calculate the median of both the lower and upper half of the data.The IQR is the difference between the upper and lower medians.Step 1
1, 5 , 12 ,14 , 29 , 45 , 48, 61 , 72 , 84 , 96
Step 2
medium = 45
Step 3
Q1
1 , 5 , 12 ,14 , 29
median = 12
Q3
48 , 61 , 72 , 84 , 96
median = 72
Step 4
IQ = Q3 - Q1
= 72 - 12
= 60
Answer: 60
Step-by-step explanation: Apex said so
Heather received a 32% discount on a $34 shirt. After the 7% sales tax was added, how much did she pay for the shirt.
Answer:
24,74
Step-by-step explanation:
the price with tax= 34 : 100 x 107= 36.38
( start price : 100% x 100% with the 7% tax)
now you can calculate the discount = 36.38 ; 100 x 68= 24.74
( start price : 100% x 68 because the full price is 100% but there goes 32 from off so 100-32 = 68)
A percentage is a way to describe a part of a whole. The final cost of the shirt is $24.74.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The original cost of the shirt is $34, now since a 32% discount is given the cost will be,
$34 - (32% of $34)
= $34 - $10.88
= $23.12
Further, 7% tax is paid on the cost of the shirt after the discount, therefore, the final cost will be,
Final cost = $23.12 + (7% of $23.12) = $24.74
Hence, the final cost of the shirt is $24.74.
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3/4=9/x ASAP help now!!!
Cross multiply [tex]\frac{3}{4} = \frac{9}{x}[/tex].
3x = 4 * 9
3x = 36
Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{36}{3}[/tex]
x = 12
What is the most specific name for quadrilateral PQRS?
It’s hard to help, since there’s no picture :/
What is the sum of the two vectors (-1,-4) and (3,5)
Answer:
Step-by-step explanation:
[tex]a(-1, -4)\\b(3, 5)\\a + b(2, 1)[/tex]
The sum of the vectors is (2,1)
How to find the sum of two vectors?A vector exists as an object that has both a magnitude and a direction. Geometrically, we can imagine a vector as a directed line segment, whose length exists the magnitude of the vector and with an arrow suggesting the direction. The direction of the vector exists from its tail to its head.
(-1,-4) + (3,5)
( -1+3 , -4+5 )
( 2,1)
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