1. a. Anita hadoſ a bag of fertilizer left. She used
of what was left. What question about Anitas
fertilizer can be answered by calculating !!!
Answer:
hello your question is incomplete below is the complete question
answer : what part of the bag of fertilizer left was used by Anita
Step-by-step explanation:
Anita had 1/2 bag of fertilizer left
and she used (3/4 of the fertilizer
that means she used ( 3/4 * 1/2 ) bag of fertilizer
hence the question about Anita's fertilizer that can be answered is ; what part of the bag of fertilizer left was used by Anita
3. Solve the following system of equations graphically. (2 points)4. Now solve the system from #3 algebraically. Make sure that any points you name satisfy both equations.
ANSWER
The solutions are (-2, 1) and (1, 4)
EXPLANATION
(3) To solve the system algebraically, we have to graph both equations. The solutions of the system are the points where the graphs of the equations intersect. In this case, the first equation is a parabola pointing downward and the second equation is a line,
The solutions to the system are the points (-2, 1) and (1, 4)
(4) To solve the same system algebraically, we can use the elimination method. First, solve the second equation for y,
\(y=x+3\)Subtract the first equation from the second,
Now we have to solve this equation for x, using the quadratic formula,
\(\begin{gathered} ax^2+bx+c=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}\)In this case, a = 1, b = 1 and c = -2,
\(x=\frac{-1\pm\sqrt[]{1^2-4\cdot1\cdot(-2)}}{2\cdot1}=\frac{-1\pm\sqrt[]{1+8}}{2}=\frac{-1\pm\sqrt[]{9}}{2}=\frac{-1\pm3}{2}\)The x-coordinates of the solutions are,
\(\begin{gathered} x_1=\frac{-1+3}{2}=\frac{2}{2}=1 \\ x_2=\frac{-1-3}{2}=\frac{-4}{2}=-2 \end{gathered}\)Now, to find the y-coordinates, we have to replace each of these values in one of the equations from the system. Replacing in the linear equation,
\(\begin{gathered} y=x_1+3=1+3=4 \\ y=x_2+3=-2+3=1 \end{gathered}\)Hence, the solutions are, as found before, (-2, 1) and (1, 4).
Select the correct answer. Which value of x makes this equation true? -12x - 2(x + 9) = 5(x+4)
Answer: x= -2/9
Step-by-step explanation:
-12x-2(x+9)=5(x+4)
= -12x-2x+18=5x+20
= -14x+18=5x+20
= -9x+18=20
= -9x=2
/-9 /-9
x= -2/9
State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Round to the nearest whole percent. original: 84, new: 96
Answer:
Then we divide that amount by the original older value and get 1.3035. Now we must convert that number
hi! Can someone please help me out? Thank you so much :) I’ll give brainly. Question is in image
Answer:
d) 189.3 in²
Step-by-step explanation:
Area of rectangle is,
→ w × l
→ 10 × 15
→ 150 in²
Area of semi circle is,
→ (1/2)πr²
→ (1/2) × 3.14 × (5)²
→ 1.57 × 25
→ 39.3 in²
Now the total area will be,
→ 150 + 39
→ 189.3 in²
Thus, total area is 189.3 in².
In Bill the Boring dryer there are black shirts, gray shirts, black sweaters, and gray sweaters. Bill is going to take one of these pieces of clothing out of the dryer at random to check if his clothes are completely dry. What is the probability that the piece of clothing Bill takes out is black or is a shirt
Answer:
Shirt probability: 100%
Black probability 50%
Step-by-step explanation:
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
The probability that Bill takes out a black or a shirt is 0.8, or 80%
How to calculate the probabilityWe can use the following formula to calculate the probability that the piece of clothing Bill takes out is black or a shirt:
P(black or shirt) = P(black) + P(shirt) - P(black and shirt)
P(black) is the probability that the piece of clothing is black.
P(shirt) is the probability that the piece of clothing is a shirt.
P(black and shirt) is the probability that the piece of clothing is both black and a shirt.
The probability that the piece of clothing is black is 4 / 10 = 0.4. The probability that the piece of clothing is a shirt is 6 / 10 = 0.6. And the probability that the piece of clothing is both black and a shirt is 2 / 10 = 0.2.
So, the probability that the piece of clothing Bill takes out is black or a shirt is:
P(black or shirt) = 0.4 + 0.6 - 0.2
= 0.8
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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A line passes through the point (1,5) and has a slope of 7
Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.
The equation of a line in the point-slope form is given by the following equation:
y-y_1 = m(x-x_1)
where m is the slope of the line and (x1, y1) is any point on the line.
Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:
y-5 = 7(x-1)
Expanding the right-hand side of the equation gives:
y-5 = 7x-7
Adding 5 to both sides of the equation gives:
y = 7x-2
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1. The first quartile (1) of the ages of the 256 employees of CCNHS – Main Campus is 39 years old. What does it imply?
If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.
In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.
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Is -34 a rational number, an integer, and a whole number.
Rational number
Please mark brainliest
-1/15 + (-3/5)
PLSSSHELP ASAP
Answer:
-2/3
Step-by-step explanation:
-1/15 + (- 3/5)
-1/15 - 3/5
Find the L. C.M
-1 -9/15
-10/15
-2/3
Can anyone help me please, if you see this and willing to help me with something say yes! thank you. have great day!
Answer:
I am willing to help, just send your problems in the comments!
Step-by-step explanation:
You can send the problem in the comments or create a separate question.
Write the number in standard notation.5.8 × 10−3
0.0058
Explanation:The given scientific notation is:
\(5.8\times10^{-3}\)This can also be written as:
\(\begin{gathered} 5.8\times\frac{1}{1000} \\ \\ =\frac{5.8}{1000} \\ \\ =0.0058 \end{gathered}\)Therefore 5.8 x 10^-3 in standard form is 0.0058
How can you divide polynomials? What are the different methods you can use?Which method do you prefer and why?
Below is the five-number summary for 136 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of time to complete the 212-mile hike from Yosemite Valley across the high Sierras to the top of Mount Whitney.
Five-number summary:
Minimum = 9 days
The first quartile (
Q
1
)
=
18
days
The median (
Q
2
)
=
21
days
The third quartile (
Q
3
)
=
28
days
Maximum =56 days.
If we use the 1.5 * IQR rule to determine whether there are any outliers, what is the right boundary?
Interquartile range:
Interquartile range is used by the data analyst to detect the whether there any data value which is located far away from others. The data analyst usually finds this by plotting the box-plot (a visualization technique based on interquartile range formula), Since it is the best and easy way to locate outlier values.
If we use the 1.5 * IQR rule to see if there are any outliers, the correct boundary is 43 days.
To use the 1.5 * IQR rule to determine whether there are any outliers in this data set, we need to first calculate the IQR. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).
IQR = Q3 - Q1
= 28 - 18
= 10
Next, we can calculate the boundaries for potential outliers:
Lower boundary = Q1 - 1.5 * IQR
= 18 - 1.5 * 10
= 3
Upper boundary = Q3 + 1.5 * IQR
= 28 + 1.5 * 10
= 43
Since the maximum value in the data set is 56, there are no outliers above the upper boundary. Therefore, the right boundary is 43 days.
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Four times a number added to 9 times the number is 65. What is the number?
Answer: 5
Step-by-step explanation:
Let the number = x.
4x + 9x = 65
13x = 65
x = 5
Answer:
5
Step-by-step explanation:
Let n represent the number. We can use this to set up an equation:
4n+9n=65
Combine like terms:
13n=65
Divide both sides by 13
n=5
The number is 5.
The joint density function of X and Y is f(x,y) = {210 (2x +y), 2
0, otherwise Find
E(X),
E(Y),
E(XY),
E(X2),
E(Y2),
Var(X),
Var(Y),
Cov(X,Y),
i.p
Answer:
e(x)
Step-by-step explanation:
i think this is the answer
Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P, and (b) find the point 4 units along the curve (in the direction of increasing t) from P. r(f) = (5 - t) i + (4t - 3) j + 3t k. P(4, 1, 3)
The new arc length function for the curve after reparametrization is as follows
\(\\\\r(s) = ( 4 - \frac{s}{\sqrt{26}})i + (\frac{4s}{\sqrt{26} } + 4)j+(\frac{3s}{\sqrt{26} } + 3)k\)
What is meant by the arc length of a curve?
The distance between two places along a segment of a curve is known as the arc length.
The formula for arc length is used to determine how far something is along the curved line that makes up an arc. The arc length is, to put it simply, the distance that passes through the curved line of the circle that forms the arc.
Given,
Vector equation of curve r(t) = (5 - t) i + (4t - 3) j + 3t k
Given P = (4, 1, 3)
5 - t = 4
So, t = 1
Now differentiate r(t)
r'(t) = -i + 4j + 3k
Magnitude of r'(t) = |r'(t)| = √[(-1)² + 4² + 3²] = √26
The arc length function for the curve
\(s = \int\limits^t_1 { |r'(t)| } \, dt = \int\limits^t_1 { \sqrt{26} } \, dt = \sqrt{26} (t-1)\)
\(t = \frac{s}{\sqrt{26} } + 1\)
Now to reparametrize the curve with respect to arc length, substitute t with (s/√26) + 1 in r(t).
\(r(s) = (5 - ( \frac{s}{\sqrt{26} } + 1)) i + (4( \frac{s}{\sqrt{26} } + 1) - 3) j + 3( \frac{s}{\sqrt{26} } + 1) k\\\\r(s) = ( 4 - \frac{s}{\sqrt{26}})i + (\frac{4s}{\sqrt{26} } + 4)j+(\frac{3s}{\sqrt{26} } + 3)k\)
Therefore the new arc length equation of the curve when \(t = \frac{s}{\sqrt{26} } + 1\) is as follows
\(\\\\r(s) = ( 4 - \frac{s}{\sqrt{26}})i + (\frac{4s}{\sqrt{26} } + 4)j+(\frac{3s}{\sqrt{26} } + 3)k\).
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Factorise :
3x² -5x + 6
Answer:
The expression is not factorable with rational numbers.
Step-by-step explanation:
Nvm I found the answer
Which is equivalent to
Answer:
2·2·2·2 = 16
Step-by-step explanation:
everytime a number is raised by another, that means you are going to multiply the base number times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:
2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:
2² = 2 · 2 = 4
2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:
2³ = 2 · 2 · 2 = 8
In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:
2^4 = 2·2·2·2 = 16
the same format will be used regardless of the base number and the exponent
i hope this helps! :)
If you flip two coins 68 times, what is the best prediction possible for the number of times both coins will land on heads?the number of times it will land on tails?
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.
If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.
What is the probability of getting two heads?The possible outcomes when two coins are flipped are;
head - head = HH
tail - tail = TT
Head and tail = HT
Tail and head = TH
The probability of getting two heads = 1/4
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;
Expected value = (68 flips) x (1/4 probability of getting HH) = 17
The probability of getting two tails = 1/4
Expected value = 68 x 1/4 = 17
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As an estimation we are told 5 miles is 8 km.
Convert 20 miles to km.
7.2 #13 math 80 I wil post the image of question...
SOLUTION
The given expression is:
\(\frac{(r^{\frac{1}{2}}s^{\frac{5}{7}})^{14}}{r^5}\)Applying laws of exponents the expression becomes:
\(\frac{r^{\frac{1}{2}\times14}s^{\frac{5}{7}\times14}}{r^5}\)This gives
\(\frac{r^7s^{10}}{r^5}\)This further gives
\(r^{7-5}s^{10}=r^2s^{10}\)Therefore the solution is
\(r^2s^{10}\)Find the area of the figure below.
Answer:
157.08 in2
Step-by-step explanation:
hope it helps
6/7 .r = 3/4 write it as a fraction or as a whole or a mixed number
The solution for "r" is 21/24, which can be simplified to 7/8. The answer can be written as a fraction of 7/8.
To solve for "r" in the given equation, we can use algebraic manipulation.
First, we can multiply both sides of the equation by the reciprocal of 6/7, which is:
7/6: 6/7 · r = 3/4
7/6 · 6/7 · r = 7/6 · 3/4
r = 21/24.
Thus, the solution for "r" is 21/24, which can be simplified to 7/8.
Therefore, the answer can be written as a fraction of 7/8.
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In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Dawn is ordering 1 veggie sandwich for every 3 ham sandwiches. She needs 12 sandwiches in all. How many veggie sandwiches did she order, and how many ham sandwiches did she order.
The table represents the amount of money in a bank account each month. Month Balance ($) 1 2,215.25 2 2,089.75 3 1,964.25 4 1,838.75 5 1,713.25 What type of function represents the bank account as a function of time? Justify your answer.
The type of function that represents the bank account as a function of time is a linear function
How to determine the type of function?The table of values is given as
Month Balance ($)
1 2,215.25
2 2,089.75
3 1,964.25
4 1,838.75
5 1,713.25
From the above table of values, we can see that;
The balance in the bank account reduces each month by $125.5
This difference is calculated by subtracting the current balance from the previous balance
So, we have
Difference = 1,838.75 - 1713.25 =125.5
Difference = 1,964.25 - 1,838.75 =125.5
Difference = 2,089.75 - 1,964.25 =125.5
Difference = 2,215.25 - 2,089.75 =125.5
Functions that have a common difference are linear functions
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Answer:
It's not D I can tell you that but ig just go with the other guy's answer
Step-by-step explanation:
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.