Answer:
x=-9
Step-by-step explanation:
(square root 6)^8x= 216^(x-3)
Rewriting sqrt(6) as 6^1/2
6^1/2^8x = 216^(x-3)
We know a^b^c = a^(b*c)
6^(1/2*8x) = 216^(x-3)
6^(4x) = 216^(x-3)
We know 216 = 6^3
6^(4x) = 6^3^(x-3)
We know a^b^c = a^(b*c)
6^(4x) = 6^(3*(x-3))
6^(4x) = 6^(3x-9)
Since the bases are the same, the exponents have to be the same
4x = 3x-9
Subtract 3x from each side
4x-3x =3x-3x-9
x = -9
Use the grouping method to factor x^3+x^2+2x+2
Factor out common terms in the first two terms, then in the last two terms
x^2(x + 1) + 2(x + 1)
Factor out the common term x + 1
= (x + 1)(x^2 + 2)
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 :)
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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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.
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:
Graph the function f(x)=x3-5x2+6
x 1 2 3 4 5
y 6 0 -4 0 18
how do you multiply 9.4 by 7.85 with work shown
Answer:
73.79
Step-by-step explanation:
i forgot how to do it step by step
soooooo sorry
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!
WILL GIVE BRAINLIST!!
Simplify. RADICAL 75 - RADICAL 12
A) RADICAL 63
B) 3 RADICAL 7
C) 3 RADICAL 3
D) 8 RADICAL 3
Simplify the radical 75 first:
[tex]\sqrt{75}[/tex]
5[tex]\sqrt{3}[/tex]
Next simplify the radical 12:
[tex]\sqrt{12}[/tex]
2[tex]\sqrt{3}[/tex]
Now that both radicals have the same number under the radical you can subtract the number in front normally
[tex]5\sqrt{3} -2\sqrt{3}[/tex]
[tex]3\sqrt{3}[/tex]
Hope this helped!
:
Pls mark brainliest I need help
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.
Solve the inequality and graph the solution on a number line
Answer:
[tex]y\leq -1/3[/tex]
The graph in the attached figure
Step-by-step explanation:
we have
[tex]-3(5y-4)\geq 17[/tex]
Applying the distributive property on the left side
[tex]-15y+12\geq 17[/tex]
Subtract 12 both sides
[tex]-15y\geq 17-12[/tex]
[tex]-15y\geq 5[/tex]
Multiply by -1 both sides
[tex]15y\leq -5[/tex]
Divide by 15 both sides
[tex]y\leq -5/15[/tex]
Simplify
[tex]y\leq -1/3[/tex]
The solution is the interval -------> (-∞, -1/3]
All real number less than -1/3
In a number line the solution is the shaded area down of y=-1/3 (close circle)
The graph is the attached figure
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.
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.
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.
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 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:
Help me please these going to be on my final.
Answer:
7. 46.39 miles
8. 109 cm
9. 18 cm
Step-by-step explanation:
7. Look at the attached picture so you can picture the scenario.
The distance from City A to City B is 85 miles North. Notice that the plane only got to travel 20 miles North because of a cloudbank and redirected 108 degrees NORTH OF EAST, 20 miles towards that direction.
The new path makes a triangle, as shown in the picture.
The angle of the triangle was solved this way.
108° - 90° = 18°
The length of a was solved by getting how many miles the plane didn't travel in its original path.
85 miles - 20 miles = 65 miles.
So now we have our new given:
a = 65 miles
b = 20 miles
c = ?
C = 18°
Using the cosine law we can solve for the c, which is the distance of the plane from City B.
[tex]c^{2}=a^{2}+b^{2}-2abCosC\\\\c^{2}=65^{2}+20^{2}-2(65)(20)Cos18\\\\c^{2}=4225+400-2600(Cos18)\\\\c^{2}=4625-2472.75\\\\\sqrt{c^{2}}=\sqrt{2152.25}\\\\c=46.39miles[/tex]
8. Again look at the attached. So as you can see we make another triangle. We can solve this with the cosine law once again. Just remember that the longer diagonal is opposite the biggest angle.
Given that:
a = 54cm
b = 78 cm
C = 110°
[tex]c^{2}=a^{2}+b^{2}-2abCosC\\\\c^{2}=54^{2}+78^{2}-2(54)(78)Cos110\\\\c^{2}=2916+6084-8424(Cos110)\\\\c^{2}=9000-(-2281.18)\\\\\sqrt{c^{2}}=\sqrt{11881.18}\\\\c=109cm[/tex]
9. Again, the shorter diagonal is facing the smaller angle. But we use the same cosine law to find it, but we use the formula of a, since a is what we are missing.
Given that:
a=?
A = 58°
b = 21cm
c= 15cm
[tex]a^{2}=b^{2}+c^{2}-2bc(CosA)\\\\a^{2}=21^{2}+15^{2}-2(21)(15)(Cos58)\\\\a^{2}=441+225-630(Cos58)\\\\a^{2}=666-333.85\\\\\sqrt{a^{2}}=\sqrt{332.15}\\\\a = 18cm[/tex]
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 ..
I really need help on this question
Answer:
31
Step-by-step explanation:
CPCTC and Parallel concurrency theorem
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
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 the factored dorm of 1256x to the sixth power minus 8
Answer:
8(157x^6 - 1)
Step-by-step explanation:
1256x^6 - 8
Start by factoring out a common factor. 1256 and 8 are both divisible by 8.
1256x^6 - 8 = 8(157x^6 - 1)
157 is prime, so 157x^6 - 1 is not factorable.
Answer: 8(157x^6 - 1)
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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Solve the proportion below. X/6=6/4 x=?
Answer:
x=9
Step-by-step explanation:
We have been given the following proportion;
x/6 = 6/4
In order to solve for x, we simply make x the subject on the left hand side;
To do this we multiply both sides by 6,
(x/6)*6 = (6/4)*6
x = 36/4
x = 9
The value of x is thus 9
if you simplify the answer you get its x=9
The distance between two cities on a map is 4 - inches. The actual distance between the two cities is 24 miles.
TON
a. What is the scale used on the map?
b. If the scale on a different map of the same area is - inch = 1 mile, how many inches separate the same two cities?
ro
Answer
The scale factor is
Explanation
We have to ways to find the scale factor here:
1. Find the unit fraction from inches to miles; in other words, we need to divide the distance between the cities on the map (in inches) by the actual distance between the cities.
We can conclude that the scale factor is
2. Let be the scale factor.
We know form our problem that 24 miles times the scale factor is equal 4 1/2 inches, so we can set up an equation an solve for :
Just like before, we can conclude that the scale factor is
B.
Answer
6 inches separate the cities on the map
Explanation
We know that our scale factor is 1/4 inch = 1 mile, so we can create a conversion factor to convert 24 miles to inches. Since we need to convert from miles to inches, the denominator of our conversion factor must be 1 mile so we can cancel miles out. Notice that we can also express 1/4 inch as 0.25 inch to simplify our calculations:
We can conclude that if the conversion factor is 1/4 inch = 1 mile, 6 inches separate the cities on the map.
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Answer: A. Find the unit fraction from inches to miles; in other words, we need to divide the distance between the cities on the map (in inches) by the actual distance between the cities.
Step-by-step explanation:
B. 6 inches separate the cities on the map
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.
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
Anthony jogs 11 1/2 miles in 23 mins. If Anthony continues to jog at a steady pace, how many miles will he jog each minute?
For this case we can raise a rule of three based on Anthony trotting [tex]11 \frac {1} {2}[/tex] miles in 23 minutes.
[tex]11 \frac {1} {2} = \frac {2 * 11 + 1} {2} = \frac {23} {2}[/tex]
[tex]\frac {23} {2}[/tex] miles -----------> 23 minutes
x ----------------------------------------> 1minute
[tex]x = \frac {\frac {23} {2} * 1} {23}\\x = \frac {\frac {23} {2}} {23}\\x = \frac {23} {2 * 23}\\x = \frac {1} {2}[/tex]
ANswer:
0.5 miles per minute
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