Answer: -12
x/4=-3
(x/4)(4)=-3(4)
x=-12
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 :)
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.
What kind of high school math is on here
Every state has different requirements for obtaining a high school diploma. And each school varies greatly in what type of classes they offer. There are, however, a number of classes that are available, and perhaps even mandatory, in most high schools.
The courses your teen takes will also vary depending on his plans beyond high school. Students who plan to go to college may be required to take more years of a foreign language. Or a student who plans to major in engineering may want to take more math and science classes to prepare for college.
Students in a vocational track may be able to gain some hands-on learning. Many of them are even able to gain certificates or licenses that will help them in their future careers.
It's important to talk to your teen about her aspirations. Help her explore various career options.
Also, talk about what courses she plans to take in high school. Discuss her interest areas and review her schedule together. In addition to the basic classes, there are usually plenty of opportunities for your teen to take electives in various areas of study.
English or Language Arts
Studying the English language and literature is an important part of high school. In addition to studying important pieces of literature, English classes teach teens about writing and speaking. Most states require four years of English or Language Arts classes.
The main English classes in high school are:
Literature
Writing or Composition
Speech
Mathematics
In high school, students dig into several different types of math. Algebra and geometry are required at most high schools and students may choose to take advanced math classes. Most states require three or four years of Math coursework in high school.
The main math classes in high school are:
Algebra
Geometry
Algebra II
Trigonometry and/or Calculus
Statistics
Science
Basic biology and chemistry are required at most high schools. They often include lab components that allow students to perform hands-on experiments. Most states require three or four years of Science coursework in high school.
The main science classes in high school are:
Biology (typically has advanced classes)
Chemistry (typically has advanced classes)
Physics (typically has advanced classes)
Earth or Space Sciences
Social Studies
Understanding how the world works is important for young adults. In high school, students will study history and government and learn about how social studies affects their lives. Most states require three or four years of Social Studies coursework in high school.
The main social studies classes in high school are:
U.S. History
U.S. Government
Economics
World History
Geography
Foreign Languages
Learning a second language is important in today's global world. High school students are often required to learn the basics of at least one foreign language and they can choose to take advanced classes to learn more.
The most common languages offered in high school are:
Spanish
French
German
Other common languages include Latin, American Sign Language, Japanese, Mandarin Chinese, and Italian.
Other High School Classes
High schools offer a variety of other classes. Some may be required in the school's curriculum and some are electives that students may choose.
These classes may include:
Arts, such music, photography, or pottery
Computer applications, graphic design, or web design
Physical education
Trade field study such as auto mechanics or nursing classes
Psychology
College Credit
Many high schools offer opportunities to gain college credit. Students may take advanced placement classes and if they pass the exam, they may test out of a basic class in college.
Some high schools also have programs that allow students to take certain college classes that will also grant them high school credit. These programs help students gain some college credits free of charge.
Step-by-step explanation:
Answer: Residuals and scatter plots and other stuffs.
Mr. Thompson cut
the grass on the
golf course in 1683
minutes. How many
hours did it take
to cut the grass?
Write the answer
as a mixed number
To convert to hours, we should do 1683/60 because one hour is 60 minutes
1683/60=28 3/60
28 3/60= 28 1/20
Answer: 28 1/20
The number of hours that it takes to cut the grass will be 28 ¹/₂₀ hours.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Mr. Thompson cut the grass on the golf course in 1683 minutes.
We know that in one hour, there are 60 minutes. Then the number of hours that it takes to cut the grass will be given as,
⇒ 1683 / 60
⇒ 28 + 1/20
⇒ 28 ¹/₂₀ hours
The number of hours that it takes to cut the grass will be 28 ¹/₂₀ hours.
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When triangle ABC is rotated about side AB, what figure is formed?
cylinder
prism
pyramid
cone
I think it’s a pyramid
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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Graph the function f(x)=x3-5x2+6
x 1 2 3 4 5
y 6 0 -4 0 18
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 are the roots of the function f(x)=x^2+x-6
A. X=3 and x= -2
B. X= -3 and x= -6
C. X=1 and x=-6
Answer:
None of the above
Step-by-step explanation:
A is the closest but it should be 2 and -3
For this case we have the following quadratic function:
[tex]f (x) = x ^ 2 + x-6[/tex]
We must find its roots. We can factor, looking for two numbers that when added to +1 and multiplied by -6. These are:
+3 and -2
[tex]+ 3-2 = 1\\(+3) * (- 2) = - 6[/tex]
Then, the factored form is:
[tex](x + 3) (x-2) = 0[/tex]
So, the roots are:
[tex]x_ {1} = - 3\\x_ {2} = 2[/tex]
Answer:
[tex]x_ {1} = - 3\\x_ {2} = 2[/tex]
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.
What is 346.49 rounded to the nearest square inch
Answer:
346 square inches
Step-by-step explanation:
Let's say you have a piece of paper that measures 2.3 inches by 2 inches.the area is 4.6 square inches. The closest whole number is 5, so rounded to the nearest square inch is 5 square inches. Fractions equal to half or greater get rounded up to the next whole number. Fractions less than half get rounded down. SO that means that 346.49 should be rounded down to just 346 although it may be almost 50.
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 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]
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]
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.
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.
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 ..
Which of the following represents the factored form of f(x) = x3 − 64x?
Answer:
x(x + 8)(x - 8)
Step-by-step explanation:
Given
x³ - 64x ← factor out x from each term
= x(x² - 64) ← x² - 64 is a difference of squares
= x(x + 8)(x - 8) ← in factored form
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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PLEASE ANSWER RIGHT AWAY!!!
Answer:
$5
Step-by-step explanation:
Given in the question a graph,
We have clearly see that graph can be divided into 3 parts.
Part 1
we can see that $5 will be charged for the package which weight is 3 Ibs or less than 3 Ibs.
Part 2
we can see that $10 will be charged for the package which weight 6 Ibs or than less 6 but greater than 3 Ibs
Part 3
We can see that after 6kg the cost is linear to the weight of the package.
What is the common ratio between successive terms in the sequence?
2, –4, 8, –16, 32, –64, ...
Answer:
-2
Step-by-step explanation:
A common ratio can be found by dividing any term by the one before it in the sequence:
-4/2 = 8/-4 = -16/8 = 32/-16 = -64/32 = -2
The common ratio is -2.
Answer:
-2
Step-by-step explanation:
Which angle corresponds to
Answer:
∡GFB
Step-by-step explanation:
∡GFB and ∡HGD are corresponding angles
Angle CGH corresponds to angle AFG
Hope this helped!
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
Please help!!!!!!!!!!
The cost of 1 pound of cashew nuts would be 4 dollars.
You divide 32 by 8
I really need help on this question
Answer:
31
Step-by-step explanation:
CPCTC and Parallel concurrency theorem
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:
A rectangle has a perimeter of 24 ft. The length is 4 ft longer than the width. What is the length of the rectangle?
The length is 8.hope this helps.if it does
Please mark brainliest
Given a rectangle with a perimeter of 24 ft where the length is 4 ft longer than the width, we find that the length is 8 ft and the width is 4 ft by setting up and solving an equation based on the formula for the perimeter of a rectangle.
Explanation:The subject of this question is about finding the length and width of a rectangle given the perimeter and a relationship between the length and width. The formula for the perimeter of a rectangle is 2 * (length + width). If a rectangle has a perimeter of 24 ft, and the length is 4 ft longer than the width, we can add the length and width together and multiply by 2 to calculate the perimeter.
Let's call the width 'w'. Then the length will be 'w + 4'. From the information given, we have:
2 * (w + (w + 4)) = 242 * (2w + 4) = 242w + 4 = 122w = 8w = 4Therefore, the width of the rectangle is 4 ft. This means that the length, which is 4 ft longer than the width, is 4 + 4 = 8 ft. So the length of the rectangle is 8 ft.
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The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price of the boxes is the same.
Write an equation which tells the price Y for the number of X stickers.
Answer:
y=0.2x+3
Step-by-step explanation:
Let
x-----> the number of stickers
y-----> the price
we have that
For x=15, y=6
and
For x=25, y=8
step 1
Find the slope of the linear equation
m=(8-6)/(25-15)
m=2/10=0.10 $/sticker
step 2
Find the equation of the line into point slope form
The equation of the line is equal to
y-y1=m(x-x1)
we have
m=0.10
point (15,6)
substitute
y-6=0.2(x-15)
y=0.2x-3+6
y=0.2x+3
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.
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