The quotient form of given rational number is -7/2.
Given the rational number is -3.5.
Here, we want to write the quotient form of the given rational number.
rational numbers, in arithmetic, a number that can be expressed as the quotient p/q of two integers such that q ≠ 0.
Number 3.5 is a rational number. As we know rational numbers can also be expressed as decimals with repeating digits after the decimal point. The number7/2 is the ratio of two integers that are 7 integers divided by 2 integers and expressed in fraction (as p/q where q is not equal to 0).
Hence, the quotient form of the given rational number -3.5 is -7/2.
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A line has a slope of 1/6 and passes through the point (-9, -8). What is its equation in point- slope form?
Answer:
y+8=1/6(x+9)
Step-by-step explanation:
point slope: y - y1 = m ( x - x1 )
use the point and the slope and plug in the values in the point slope equation
Lines I and m are parallel. Find m<3 if m<5 = 38 and m<6 = 62.
100
62
80
38
Answer: 80 degrees ==> 3rd option
Step-by-step explanation:
m<5=m<2 ==> angles 5 and 2 are opposite interior angles, so they're congruent.
m<2=38 degrees
m<2+m<6+m<3=180 degrees
38+62+m<3=180
100+m<3=180
m<3=80 degrees ==> 3rd option
300 female Osprey hatch-lings were tracked until they died or succeeded in laying their own eggs. Based on the data, the researchers concluded that somewhere between 12% and 18% of all female Osprey hatch-lings in the US succeed in growing up to lay their own eggs.
a. Inferential Statistics
b. Descriptive Statistics
Based on the fact that the researchers were able to conclude that a range of percentages of the female Osprey hatch-lings in the US succeed in growing up to lay their own eggs, this is Inferential statistics.
What is inferential statistics?In inferential statistics, data is used to be able to reach a conclusion on a phenomenon. This means that data is not just taken and then presented like in the case of descriptive statistics, it is also analyzed and evaluated to reveal patterns.
In this scenario, female Osprey hatch-lings success in growing up and laying their eggs was researched and data was used to make conclusions on the subject so this is inferential statistics.
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A connected graph H has a spanning tree with 21
edges.
How many vertices does the spanning tree have? Give your answer as a whole number.
vertices in spanning tree:
——————————————————
How many vertices does H have? Give your answer as a whole number.
vertices in H:
——————————————————
What can one say about the number of edges H has?
A. H has more than 21
edges.
B. H has at least 22
edges.
C. H has less than 22
edges.
D. H has at least 21
edges.
The results for the connected graph H, obtained by using graph theory are;
First part;
There are 22 vertices in the spanning tree
Second part;
There are 22 vertices in H
Third part;
D. H has at least 21 edges
How can graph theory be used to evaluate the given graph?The given parameters are;
H = A connected graph
Number of edges in the spanning tree of H = 21
First part
Required:
The number of vertices in the spanning tree of H
Solution;
In graph theory, a spanning tree is one that contains all the vertices of the graph.
The number of edges in a tree that has n vertices is 'n - 1'
Therefore;
Number of edges = n - 1 = 21
n = 21 + 1 = 22
There are 22 vertices in the spanning tree.Second part;
From the definition of a spanning tree, the number of vertices in H is equal to the number of vertices in the spanning tree which is 22
Third part;
Let m represent the number of edges in H.
Therefore, the number of edges that should be deleted from H to get the spanning tree is 'm - (n - 1)', which gives;
m ≥ n - 1The number of edges in the given spanning tree is n - 1 = 21
Which gives;
m ≥ 21Therefore;
D. H has at least 21 edges
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The long hand of a clock turns from 2:00pm to 2:15pm. What part of a turn did the long hand make?
Answer: A quarter turn
Step-by-step explanation:
PLS HELP!! ILL GIVE BRAINLYEST!!
The school cafeteria serves portions of fried rice that are 140 grams each.
A. If 64 portions of rice are served, how many grams of rice would that be?
B. Write an expression for the total weight in grams of rice needed for p portions.
C. One day, the total weight of rice served was 11,340 grams. How many portions were served that day?
D. Write an expression for the number of portions served if the total rice weighed t grams
Please answer all questions
A. The grams of rice served for 64 portion is 8960 grams.
B. The expression for the total weight in grams of rice needed for p portions is 140p.
C. The portion when a total weight of 11340 grams was served is 81 portion
D. The expression for the number of portions served if the total rice weighed t grams is t / 140
How to find the expression for the number of grams served?The school cafeteria serves portions of fried rice that are 140 grams each.
A.
64 portions of rice are served. The grams of rice served is as follows:
1 portion = 140 grams
64 portions = ?
cross multiply
grams of rice served = 64 × 140
grams of rice served = 8960 grams
B.
The expression for the total weight in grams of rice needed for p portions is as follows:
total weight = 140p
C.
The portion when a total weight of 11340 grams was served is as follows:
140 grams = 1 portion
11340 grams = ?
portion = 11340 / 140
portion = 81 portion
D.
The expression for the number of portions served if the total rice weighed t grams is as follows:
portion = t / 140
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Can someone explain this please ? So I think the first part is -8x-4=8x-2 ?
Answer:
-4×(2×1)=8x-2-4
solve in ( )
-4×3=8x-2-4
multiply -4 to 3
-12=8x-2-4
add 2 and 4 to both sides
-6=8x
divide -6 to 8 and you will get the answer
x=-0.75
Answer:
x = -0.25 (or) -1/4
Step-by-step explanation:
Let's solve the problem,
→ -4 × (2 × 1) = 8x - 2 - 4
→ -4 × 2 = 8x - 6
→ -8 = 8x - 6
→ 8x = -8 + 6
→ x = -2/8
→ [ x = -0.25 ]
Thus, solution is -0.25.
Each person in a community was asked, “what is your favorite type of pet?” The pie chart below summarizes their responses
From pie chart, responses of community for each category is
a. One fourth of community chosen by cat category.
b. Approximately 30% of community chosen cat or other.
c. If 6% chosen None then dog was chosen by approximately 18%.
As given,
From pie chart ,responses of community for each category is
Bird>cat>dog>fish>none>other
Fish+ none +other +cat=Approximately 50%
a. Cat chosen by approximately 25%.
b. Cat or Other= Approximately 30%
c. If 6% chosen None then dog
Approximately three times of none=6×3
= 18%.
Therefore, from pie chart
a. One fourth of community chosen by cat category.
b. Approximately 30% of community chosen cat or other.
c. If 6% chosen None then dog was chosen by approximately 18%.
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f a parabola does not cross the x-axis, what is true about the number of solutions of the quadratic function? There are two solutions. There are no real number solutions. There is one solution. There are an infinite number of solutions
In this case we know that the parabola does not cross the x-axis, thus, the quadratic equation has no solutions.
What is true about the solutions of the quadratic equation?For a quadratic function (also called a parabola)
y = a*x^2 + b*x + c
the solutions of the quadratic equation are the values of x such that:
a*x^2 + b*x + c = 0
Now, remember that the values with y = 0 are called the x-intercepts, then the solutions of the above equation are x-intercepts.
And here we know that the parabola does not cross the x-axis, thus, the quadratic equation has no solutions.
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I need help nowwwe!! Please help asap
I will brainliest if you will
Answer:
Step-by-step explanation:
The domain of the function is [-3,5]
The range of the function is [-16,infinity)
X=3 is a zero of the function
X = -3 is a zero of the function
What is .0006 in a percent
Answer:
.06%
Step-by-step explanation:
multiply the number by 100 to get it as a percentage
Answer:
0.0006 = 0.06%
Hope this helps :)
Hope this helps :)Explanation below.
Step-by-step explanation:
To convert a decimal to a percent, move the decimal 2 times to the right.
0.0006 = 0.06%
↑JJ
Stefanie biked a total of 4 miles making 2 trips to school. Which of the following ratios is equivalent to Stefanie's rate?
The ratio that is equivalent to Stefanie's rate is 1 : 2
Which of the following ratios is equivalent to Stefanie's rate?The given parameters are
Distance = 4 miles
Trips = 2
The ratio that is equivalent to Stefanie's rate is represented as
Rate = Trips/Distance
So, we have
Rate = 2 trips /4 miles
Evaluate
Rate = 1/2 trip per mile
Express as raton
Ratio = 1 : 2
Hence, the ratio that is equivalent to Stefanie's rate is 1 : 2
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a baseball is tossed up into the air at an initial velocity 16 m/s. The
height of the baseball at time t in seconds is given by h(t) = 16t - 4.9t² (in meters).
Answer: Average velocity = 11.1 m/s
Step-by-step explanation:
Given data,
A baseball is tossed up into the air at an initial velocity = 16 m/s.
The height of the baseball at time t in seconds is given by,
h(t) = 16t - 4.9t² (in meters).
So,
The average velocity is,
To calculate the velocity travelled by the ball, differentiate the function.
dh/dt = 16 - 2(4.9t)
dh/dt = 16 - 9.8t (eq-1)
Let us assume, t = [1,1.5]
Substitute t for 1 in the above Differential function
dh/dt = 16 - 9.8 (1)
But ,
dh/dt = velocity
So, dh/dt = V
V = 16 - 9.8
V = 6.2 m/s
Therefore,
Average velocity = ( U + V ) / 2
Average velocity = (16 + 6.2)/2
Average velocity = 22.2/2
Average velocity = 11.1 m/s
Hence, Average velocity = 11.1 m/s.
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Match the statements defined below with the letters labeling their equivalent expressions.
1. |x−4|=8
2. |x−4|≥8
3. |x−4|>8
4. |x−4|<∞
5. |x−4|≤8
A. x∈(−∞,∞)
B. x∈[−4,12]
C. x∈(−∞,−4)∪(12,∞)
D. x∈(−∞,−4]∪[12,∞)
E. x∈{−4,12}
Use the definition of absolute value to rewrite each equation or inequality.
[tex]|x| = \begin{cases} x & \text{if } x\ge0 \\ -x & \text{if }x < 0 \end{cases}[/tex]
1. (E) From the definition it follows that
[tex]x-4 \ge 0 \implies |x-4| = x-4 = 8 \implies x = 12[/tex]
[tex]x-4 < 0 \implies |x-4| = -(x-4) = 4-x = 8 \implies x = -4[/tex]
Then the solution set contains exactly 2 elements, and we write it as shown in choice (E), [tex]x\in\{-4,12\}[/tex].
2. (D) We solve the inequality in essentially the same way as in (1), we just need to keep track of the direction of the inequality.
[tex]x-4\ge0 \implies|x-4|=x-4\ge8 \implies x\ge12[/tex]
[tex]x-4<0 \implies|x-4|=4-x\ge8 \implies x\le-4[/tex]
Note the inclusion of [tex]x=12[/tex] and [tex]x=-4[/tex]. We write this as a union of two half-closed intervals, [tex]x\in(-\infty,-4]\cup[12,\infty)[/tex].
3. (C) This follows from the same steps as in (2). This time the inequality is strict, so we exclude the endpoints and with open intervals write [tex]x\in(-\infty,4)\cup(12,\infty)[/tex].
4. (A) Since [tex]|x|[/tex] always returns a non-negative number, any real number [tex]x[/tex] satisfies the inequalty [tex]|x-4|<\infty[/tex]. We write the solution set as the entire real line, [tex]x\in(-\infty,\infty)[/tex].
5. This leaves us with (B) for the last solution set. This inequality is complementary to the one in (3), which means the solution set to [tex]|x-4|\le8[/tex] is the complement of the set we found in (3). That interval removes everything between and including -4 and 12 from the real line. So the solution in this case is what we omit from the solution to (3), and we write [tex]x\in[-4,12][/tex].
Someone please help me with this problem.
Evaluate 8+3e when e=2
The value of 8+3e when e=2 will be 14.
How to compute the expression?It should be noted that the equation or expression is given as:
8 + 3e
Therefore, we will put the value of E as 2 int the equation. This will be:
8 + 3e
= 8 + 3(2)
= 8 + 6
= 14
The value is 14.
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Given the exponential function f (x) and the logarithmic function g(x), which of the following statements is true?
Exponential function f of x equals negative 4 to the power of x minus 1 that decreases to the right passing through the point 0 comma negative 2 and logarithmic function g of x equals negative log in base 3 of x plus 3 decreasing from left to right passing through the point 1 comma 3
As x→∞, f (x)→∞ and g(x)→0.
As x→∞, f (x)→ –∞ and g(x)→ –∞.
As x→∞, f (x)→2 and g(x)→0.
As x→∞, f (x)→2 and g(x)→∞.
The correct statement regarding the end behavior of the functions is given by:
As x→∞, f (x)→∞ and g(x)→0.
What is the end behavior of a function f(x)?It is given by the limits of f(x) as x goes to infinity.
In this problem, the function f(x), the limits are given as follows:
[tex]\lim_{x \rightarrow -\infty} f(x) = -1[/tex].[tex]\lim_{x \rightarrow \infty} f(x) = -\infty[/tex].For function g(x), the limit is given as follows, as it is not defined for negative values:
[tex]\lim_{x \rightarrow \infty} f(x) = 0[/tex].
Hence the correct statement is:
As x→∞, f (x)→∞ and g(x)→0.
As it considers both positive infinity and negative infinity just as infinity.
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Please help me it is algebra and I need it evaluated
Answer:
Step-by-step explanation:
21)Log 64 base 4
64=[tex]4^{X}[/tex]
[tex]4^{3} =4^{X} \\\\The base cancels out\\3= X[/tex]
22)
[tex]Log 16 base 4 = x\\\\16=4^{x} \\4^{2} =4^{x} \\[/tex]
The base will cancel out
2=x
30) Log 1/216 base 6
[tex]\frac{1}{216} = 6^{x} \\\216^{-1} =6^{x} \\6^{(3)(-1)} =6^{x} \\6^{-3} =6^{x}[/tex]
The base will cancel out
x=-3
10 over h equals 52 over 13. Represent for h.
The exchange rate for US dollars to Canadian dollars is 0.77. What is the value of $200 US dollars
[tex]\begin{array}{ccll} US\$&CA\$\\ \cline{1-2} 0.77 & 1\\ 200& c \end{array} \implies \cfrac{0.77}{200}~~=~~\cfrac{1}{c} \\\\\\ 0.77c=200\implies c=\cfrac{200}{0.77}\implies c\approx 259.74[/tex]
Just confused with the remainder
Answer:
its the first one
146 r 6
hope this helped! :)
The vertex of this is at parabola is at (-1, -3). Which could be its equation?
Answer:
What are the options I can choose from?
Step-by-step explanation:
2. Which expression is not equal to the
number 0?
5-5
-7+7
6-(-6)
-8- (-8)
A survey of a club's members indicates that 40% own a home, 90% own a car, and 95% of the homeowners who subscribe also own a car
What is the probability that a club member owns neither a house nor a car?
The probability that a club member owns neither a house nor a car is 0.08 or 8%.
As per the survey of a club's members-
percentage of members who own a home 40% = 0.4
percentage of members who own a car → 90% = 0.9
Further, 95% of the homeowners also own a car
⇒ percentage of members who own a car as well as a home = 95% of 40%
= 95/100 x 40/100
= 3800/10000
= 0.38
Let P(A) be the probability that a member owns a home and P(B) be the probability that a member owns a car
we have,
P(A) = 0.4
P(B) = 0.9
also P(A∩B) = 0.38
we need to find the probability that a club member owns neither a house nor a car, that is, P(A'∩B')
According to the rules of probability-
P(AUB) = P(A) + P(B) - P(ANB)
⇒ P(AUB) = 0.4 +0.9 -0.38
P(AUB) = 0.92
Thus, P(A'U B') = 1 - 0.92
= 0.08
Thus, the probability that a club member owns neither a house nor a car is 0.08 or 8%.
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Our class planned a holiday party for disadvantaged kids. Some of us baked
cookies for the party. On the day of the party, we found we could divide the
cookies into packets of two, three, four, five, or six and have just one cookie
left over in each case. If we divided them into packets of seven, there would
be no cookies left over. What is the least number of cookies the class could
have baked?
Answer:x=1.
Step-by-step explanation:
3x-x+2=4
A sample of 10 NCAA college basketball game scores provided the following data. Winning Team
FIRST PERSON TO ANSWER GETS 50 POINTS HELP ME OUT HERE
The equation has infinite solutions.
The value of x that makes the equation true is: 2. After substitution, we would have: 8 = 8
Another value of x that makes the equation true is: 3. After substitution, we would have: 10 = 10
What are Infinite Solutions of an Equation?If an equation has infinite solutions, it means that any value of the variable in the equation would make the equation true.
Given the equation, 2(x + 2) = 2x + 4, the value of x that makes the equation true is: 2.
Substitute x = 2 into the equation and simplify it would make both sides equal:
2(2 + 2) = 2(2) + 4
8 = 8
Another value of x that makes the equation true is: 3.
Substitute x = 3 into the equation and simplify it would make both sides equal:
2(3 + 2) = 2(3) + 4
10 = 10
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1. Find the domain and range of the function shown in the table.
X
y
-2
6
-1
5.5
0
4
3.5
0
4
-1
5.5
-1
8
-3.5
Answer:
The domain of this function is (in order of least to greatest) is [-2,-1,0,3.5,4,5.5, and 8]
The range of this function is (in order from greatest to least) is [6,5.5,4,0,-1, and -3.5]
Step-by-step explanation:
To find the domain you need to look at all of you input or x values so the question is asking to name the values of x for your domain. You look at the table to where x is and name the numbers listed in this case it's [-2,-1,0,3.5,4,5.5, and 7]
To find the range you need to look at the listed outputs or y values. You are essentially doing the same steps but instead you looking at y for the listed values. Generally when it comes to domains that have the same range (for example (4,-1) and (5.5,-1)) you would only write it once in the list of ranges so like [6,5.5,4,0,-1, and -3.5]
PLEASE HELP! If a factor of the denominator of a rational function cancels with a factor of the numerator and the inequality is closed, then the zero of the canceled factor should be included in the solution for the inequality.
True or False?
Answer:
False. If a factor of the denominator of a rational function cancels with a factor of the numerator, the zero of the canceled factor should not be included in the solution for the inequality.
Step-by-step explanation:
Give me Brainliest if that helped! :)
NEED HELP!
PLEASE HELP
Answer:
J and I
Step-by-step explanation:
If possible use a graphing calculator this is from Desmos
If you are not allowed to then use the rise over run rule or Rise/run
if the constants or numbers Infront of x match then the lines are parallel for these kinds of lines. The black line was added to show that it is parallel with the same constant
