[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+4}{2}~~,~~\cfrac{y-3}{2} \right)=\stackrel{\textit{midpoint}}{(3,2)}\implies \begin{cases} \cfrac{x+4}{2}=3\\[1em] x+4=6\\ \boxed{x=2}\\ \cline{1-1} \cfrac{y-3}{2}=2\\[1em] y-3=4\\ \boxed{y=7} \end{cases}[/tex]
When triangle ABC is rotated about side AB, what figure is formed?
cylinder
prism
pyramid
cone
I think it’s a pyramid
Which equation does the graph represent?
Answer:
B.
Step-by-step explanation:
I plugged it into a graphing calculator which got me this.
Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. How many mL would you give?
A. 20 mL
B. 10 mL
C. 2 mL
D. 125 mL
Answer:
Correct choice is C. 2 mL.
Step-by-step explanation:
Given that Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. Now we need to find about how many mL would you give.
Let number of ml needed = x.
Since ratio of mg per mL will be fixed so we get equation:
[tex]\frac{mL}{mg}=\frac{x}{250}=\frac{1}{125}[/tex]
[tex]\frac{x}{250}=\frac{1}{125}[/tex]
[tex]x=\frac{1}{125} \times 250[/tex]
[tex]x=\frac{250}{125}[/tex]
[tex]x=2[/tex]
Hence correct choice is C. 2 mL.
Final answer:
To calculate the volume of ampicillin to be given, divide the ordered dose by the concentration of the solution. For a dose of 250 mg and a concentration of 125 mg/mL, the volume to administer is 2 mL. The correct option is: 2ml.
Explanation:
The question is asking us to calculate the volume of ampicillin required for one dose when it has been reconstituted to a concentration of 125 mg/mL, and the ordered dose is 250 mg given intramuscularly (IM) every 12 hours. To find out how many mL of the ampicillin solution should be administered in one dose, we use the formula:
Dose ordered / Concentration of solution = Volume to administer
In this case:
250 mg (Dose ordered) / 125 mg/mL (Concentration) = 2 mL
Therefore, you would administer 2 mL of the reconstituted ampicillin solution.
Which complex number has a distance of the root of 17 from the origin on the complex plane?
2 + 15i
17 + i
20 – 3i
4 – i
Answer:
4 -i
Step-by-step explanation:
For your condition to be met, neither the real part nor the imaginary part can exceed √17 in magnitude. That excludes the first three answer choices.
The magnitude of 4-i is ...
√(4^2 +(-1)^2) = √17.
Answer:
4 – iStep-by-step explanation:
First, we need to know that a complex number, which has a real part and an imaginary part, it's like a vector, where the horizontal coordinate is the real part, and the vertical coordinate is the imaginary part.
So, to find the distances we applied the conventional definition:
[tex]d=\sqrt{r^{2}+i^{2} }[/tex]
Where [tex]r[/tex] refers to the real part and [tex]i[/tex] refers to the imaginary part.
So, we test each answer and see which one gives us the root of 17.
Option 1.[tex]d=\sqrt{2^{2}+15^{2} }=\sqrt{4+225}=\sqrt{229}[/tex]
Option 2.[tex]d=\sqrt{17^{2}+1^{2} }=\sqrt{290}[/tex]
Option 3.[tex]d=\sqrt{20^{2}+(-3)^{2} }=\sqrt{409}[/tex]
Option 4.[tex]d=\sqrt{4^{2}+(-1)^{2} }=\sqrt{17}[/tex]
Therefore, the right answer is the last one, because the distance is the squared root of 17.
What’s exponential growth
Hello There!
Definition Is In Image Attached
Answer:
ex·po·nen·tial growth
noun
growth whose rate becomes ever more rapid in proportion to the growing total number or size.
"the exponential growth of the world's population"
Step-by-step explanation:
I really need help on this question
Answer:
31
Step-by-step explanation:
CPCTC and Parallel concurrency theorem
the perimeter of a rectangular table is 132 inches the length of the table is 1 3/4 times its width what is the area of the table
Answer:
The area of the table is [tex]1,008\ in^{2}[/tex]
Step-by-step explanation:
Let
x----> the length of the rectangular table
y---> the width of the rectangular table
we know that
The perimeter is equal to
[tex]P=2(x+y)[/tex]
[tex]P=132\ in[/tex]
so
[tex]132=2(x+y)[/tex]
[tex]66=x+y[/tex] ------> equation A
[tex]x=1\frac{3}{4}y[/tex]
[tex]x=\frac{1*4+3}{4}y[/tex]
[tex]x=\frac{7}{4}y[/tex] ---> equation B
substitute equation B in equation A and solve for y
[tex]66=\frac{7}{4}y+y[/tex]
[tex]66=\frac{11}{4}y[/tex]
[tex]y=66*4/11=24\ in[/tex]
Find the value of x
[tex]x=\frac{7}{4}(24)=42\ in[/tex]
Find the area of the table
The area is equal to
[tex]A=xy=(42)(24)=1,008\ in^{2}[/tex]
Jake studied x hours for a big test. Julie studied twice as long.
Write an algebraic expression for long Julie studied.
The algebraic expression that expresses how long Julie studied is: 2x.
What is an Algebraic Expression?Algebraic expression can be described as a mathematical statement that uses variables and digits, as well as operation signs.
Number of hours Jake studied = x
Julie studied twice as long as x
Thus, algebraic expression for how long Julie studied would be: 2x.
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If Jake's study time can be represented as 'x', then, given that Julie studied twice as long as Jake, her study time can be represented as '2x'. This is because she studied twice the amount of time that Jake did.
Explanation:The question describes a relationship between the amount of time Jake studied and the amount of time Julie studied. We know from the question that Julie studied twice as long as Jake did. In mathematical terms, we would represent Jake's studying time as x hours, since we don't have a specified amount. Therefore, because Julie studied twice as long as Jake did, we can represent Julie's studying time as 2x.
Hence, "the algebraic expression for the number of hours that Julie studied is 2x".
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Terrence is folding paper cranes at a constant rate. The table below shows the amount of time he needs to fold cranes.
Write an equation to describe the relationship between c, the number of cranes, and t, the total time in minutes.
Look at attachment for table details! UwU
Answer:
Its 3.5c
Step-by-step explanation:
Let's find the constant of proportionality.
In the proportional relationship between c, the number of cranes, and t, the total time in minutes, one constant of proportionality is the amount of time per crane. It is the number we multiply by the number of cranes to get the total time.
c times ? =t
The constant of proportionality is 3.5 This means we can multiply 3.5 by the number of cranes to get the total time.
Now, let's represent that as an equation.
total time= time per crane X number of cranes
total time
t
time per crane×number of cranes
3.5c
One correct equation is:
t= 3.5c
Answer:
t = 3.5c
Step-by-step explanation:
This represents a proportional relationship because it is linear (he is folding at a constant rate) and passes through the origin (it would take him 0 minutes to fold 0 cranes). The formula for a proportional relationship is y = kx, where k is the constant of proportionality.
To find k, divide the dependent variable by its corresponding indepent variable. In this example, the amount of minutes is the dependent variable and the amount of cranes is the independent variable.
Using the first row of the table, we get [tex]k = \frac{17.5}{5} = 3.5[/tex].
Just to confirm our answer, let's try the other values given in the table:
[tex]k = \frac{28}{8} = 3.5\\k = \frac{42}{12} = 3.5[/tex]
So, we get that it takes Terrence 3.5 minutes to make one crane, so t = 3.5c
The Venn diagram shows the results of two events resulting from rolling a number cube.
Find P(A | B).
P(A) × P(B)
P(B)
P(A)
Answer:
P(A) x P(B)
Step-by-step explanation:
If im wrong, im so sorry
P(A | B) is found using the formula P(A AND B) / P(B), which in the context of rolling a dice and looking at events such as rolling a prime number (A) given rolling an odd number (B) would imply looking at the shared outcomes of both events and then calculating the probability.
Explanation:The Venn diagram question is asking for P(A | B), which is the probability of event A happening given that event B has happened.
The multiplication rule is an important tool to solve this problem, stating that if A and B are independent events, then P(A AND B) = P(A) × P(B).
However, the calculation of P(A | B) is different.
To find P(A | B), which is read as "the probability of A given B," you use the formula P(A AND B) / P(B).
If we consider that A is the event of rolling a prime number (e.g., numbers 2, 3, 5 in a dice) and B is the event of rolling an odd number (e.g., numbers 1, 3, 5), then the outcomes that are both prime and odd (A AND B) would be {3, 5}.
If event B has already occurred (rolling an odd number), we adjust the sample space accordingly and calculate the probability of A within this new space.
Graph the function f(x)=x3-5x2+6
x 1 2 3 4 5
y 6 0 -4 0 18
At the zoo, for every 6 adult camels, there are 5 baby camels. There are a total of 44 adult and baby camels at the zoos.
How many baby camels are at the zoo?
Find the common ratio, by adding the adults and babies together: 6+5 = 11
Divide the total by that:
44/11 = 4
the common ratio is 4.
Now multiply the given ratios by the common ratio:
Adults = 6 x 4 = 24
Babies = 5 x 4 = 20
There are 20 babies.
A and b have opposite directions, and they both have a magnitude of 7 what must be true about a and b
Answer:
D) They are opposite and parallel.
Step-by-step explanation:
Given:
There are two vectors "a" and "b" have opposite directions having the same magnitude of 7.
If the two vectors "a" and "b" have opposite directions mean one moves right and other moves left.
Which means they are opposite.
Here they have a same magnitude of 7. So they are parallel.
Therefore, the answer is D) They are opposite and parallel.
Sixty-five percent of what number is 32.5?
21.125
140
30
50
Final answer:
To find 65% of a number, use the equation 0.65x = 32.5 and solve for x by dividing both sides by 0.65 to get x = 50.
Explanation:
Sixty-five percent of what number is 32.5?
Let's denote the unknown number as x.
Translate the given information into an equation: 0.65x = 32.5
To solve for x, divide both sides by 0.65 giving x = 32.5 / 0.65 = 50.
can anyone answer like trigonometry question or geometry
Yes, what do you need help with?
Please help!!!!!!!!!!
The cost of 1 pound of cashew nuts would be 4 dollars.
You divide 32 by 8
Cramer's rule:
What is [Ax] in the system below?
Answer:
Ax = [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex] ⇒ 3rd answer
Step-by-step explanation:
Lets revise the Cramer's rule
- If the system of equation is ax + by = c and dx + ey = f
- A is the matrix represent this system of equation
- The first column has the coefficients of x, and
the second column has the coefficients of y
∴ A = [tex]\left[\begin{array}{cc}a&b\\d&e\end{array}\right][/tex]
- Ax means replace the column of x by the answers of the equation
∴ Ax = [tex]\left[\begin{array}{cc}c&b\\f&e\end{array}\right][/tex]
- Ay means replace the column of y by the answers of the equation
∴ Ay = [tex]\left[\begin{array}{cc}a&c\\d&f\end{array}\right][/tex]
* Now lets solve the problem
∵ 4x - y = -3 and -2x + y = 5
∴ A = [tex]\left[\begin{array}{cc}4&-1\\-2&1\end{array}\right][/tex]
- Replace the column of x by the answer to get Ax
∴ Ax = [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex]
* Ax in the system of equation is [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex]
Answer:
C
Step-by-step explanation:
Edge2021
Multiply the following complex numbers: (8-3i)(6+5i)
The a answer is 8-13i
For one; Your answer doesn't help those who are on apex. Also doesn't appear to be any of the answer choices,
The answer I got from apex, is;
63+22i.
Hope this helps :)
Ten random members at a gym were asked how many servings of fruits and vegetables they had yesterday. The results are shown in the table. Use the point tool to create a scatter plot that represents the data shown in the table.
Answer: so the red dots are incorrect
the green ones are correct
the yellow ones are also correct (that i missed)
Step-by-step explanation:
A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. The scatter plot of the given data can be made as shown below.
What is a scatter plot?A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.
Let the x-axis represent the number of fruit servings, while the y-axis represents the number of vegetable servings. Therefore, The scatter plot of the given data can be made as shown below.
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What's the total value of 40 quarters, 30 dimes, 20 nickels, and 10 pennies?
Answer:
14.10
Step-by-step explanation:
Quarters are worth .25 of a dollar
40 *.25 = 10
Dimes are worth .10 of a dollar
30 *.10 = 3
Nickels are worth .05 of a dollar
20 *.05 = 1
Pennies are worth .01 of a dollar
10 *.01 = .1
Add this together
10+3+1+.1
14.10
Question 2 of 25
2 Points
For which values of x will the rational expression below be undefined? Check
all that apply.
(x-1)(x + 1)
x+2
If the denominator is 0, and the numerator ≠ 0, your answer will undefined.
If the numerator is 0, and the denominator is a number, it will always = 0.
So you can set the denominator equal to 0
x + 2 = 0 Find x, so subtract 2 on both sides
x = -2
How can u study for a test?
When I study o usually get a bad grade!! Please help
Answer:
stay focused on a single topic until u understand that topic well .. use sticky notes to make short notes and clue to make it easier .. when u have test u can use the sticky notes to make ur own answer .. instead of writing the same words in test use ur pwn wordsband create a short one. make a timetable for each subject everyday at least 1 - 2 hrs ..
a line segment has endpoints at (-4,-6) and (-6,4) which reflection will produce and image with endpoints at (4,-6) and (6,4)
The reflection that will produce that image would be a reflection across the y-axis
The line segment should be reflected across the y-axis to obtain the desired image with endpoints at (4, -6) and (6, 4).
Explanation:To find the reflection of the line segment with endpoints (-4,-6) and (-6,4) that will produce an image with endpoints at (4,-6) and (6,4), we can use the formula for reflecting a point in the x-axis or y-axis. The reflection of a point (x, y) in the x-axis is (x, -y) and the reflection of a point (x, y) in the y-axis is (-x, y). Applying these formulas to the given endpoints, we can determine that the reflection in the y-axis will produce the desired image. So, the line segment will be reflected across the y-axis to obtain the image with endpoints at (4, -6) and (6, 4).
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What’s is 13.75 of 2/5
Answer:
5.5
Step-by-step explanation:
Of means multiply
13.75 * 2/5
27.5/5
5.5
[tex]\text{Hey there!}[/tex]
[tex]\text{When you come across the word of in mathematics (high learning math at that)}[/tex][tex]\text{, it means to multiply.}[/tex]
[tex]\text{So, your new equation becomes: 13.75}\times\frac{2}{5}\text{multiply those two}[/tex] [tex]\text{numbers.}[/tex]
[tex]\text{The formula to solving for these times of equation is:\ }\frac{b\times c}{d}[/tex]
[tex]\text{So,}\frac{2 \times13.5}{5}[/tex]
[tex]2\times 13.75=27.5[/tex]
[tex]\frac{27.5}{5}=27.5\div5=5.5[/tex]
[tex]\boxed{\boxed{\text{Answer: 5.5}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
A and C
Step-by-step explanation:
Vertical angles are angles formed by 2 lines. Those angles are right across from each other.
Answer:
a and c
Step-by-step explanation:
Vertical angles are angles formed by 2 lines. Those angles are right across from each other.
What is the value of the arithmetic series below?
Answer:
- 494
Step-by-step explanation:
Breaking down the summation into it;s component parts
= 4k - [tex]\frac{3}{2}[/tex] k(k + 1) ← substitute k = 19
= (4 × 19 ) - 1.5 × (19 × 20)
= 76 - (1.5 × 380)
= 76 - 570
= 494
The value of the arithmetic series below is - 494
We have
To break down the summation into its component parts
What is the formula of the kth sum?
[tex]S_{19}= 4k - \frac{3}{2} k(k + 1)[/tex]
[tex]= 4k - \frac{3}{2} k(k + 1) .... substitute\ k = 19[/tex]
[tex]= (4 \times 19 ) - 1.5 \times (19 \times 20)[/tex]
[tex]= 76 - (1.5 \times 380)[/tex]
[tex]=76-570[/tex]
= -494
The value of the arithmetic series below is 494.
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A bicycle depreciates at a rate of 15% therese bought a bicycle for $250. How much should it be worth 6 years later ?
Answer:
[tex]\$94.29[/tex]
Step-by-step explanation:
we know that
The formula to calculate the depreciated value is equal to
[tex]V=P(1-r)^{x}[/tex]
where
V is the depreciated value
P is the original value
r is the rate of depreciation in decimal
x is Number of Time Periods
in this problem we have
[tex]P=\$250\\r=15\%=0.15\\x=6\ years[/tex]
[tex]V=\$250(1-0.15)^{6}[/tex]
[tex]V=\$250(0.85)^{6}=\$94.29[/tex]
Answer:
94.29
Step-by-step explanation:
we know that
The formula to calculate the depreciated value is equal to
where
V is the depreciated value
P is the original value
r is the rate of depreciation in decimal
x is Number of Time Periods
in this problem we have
The formula V=Bh, where B represents the area of the base, can be used to find the volume of a cylinder. Which formula is equivalent to V=Bh when finding the cylinders volume?
Answer:
C
Explanation:
B=Base Area
In a cylinder, the base area is a circle.
Area Circle=pi r^2
Replace base area with area of circle:
V=pi r^2 H
Answer:
Volume of Cylinder = (pi)(radius^2)(height)
According to the stem and leaf plot above how many students scored grade of 70 or above. CANT GET IT WRONG!
You read a steam and leaf plot in this way: the first column is the first digit of the score, and we're grouping scores by their first digits.
So, for example, if we read the row starting with 5, we deduce that there have been three scores in the 50's, namely two 57 and one 58.
To answer the question, we have to count how many occurrences we have in the row of the 70's and higher.
We have 4 scores in the 70's: 70, 70, 71, 78
We have 4 scores in the 80's: 82, 84, 87, 88
We have 3 scores in the 90's: 91, 93, 97
We have 2 perfect scores of 100.
These are all the scores of 70 or above.
What is the input value for which g(x) = -2?
x = ?
g(x)=-2
Simplfy: y=-2
x=-9
*Look at where the points intersect
Answer:
x=-9
Step-by-step explanation: