Answer:
x = 100
Step-by-step explanation:
\(Log_{10} x =2 \\ \\ x = {10}^{2} \\ \\ x = 100\)
Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 300030003000 feet and height of 120012001200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 101010 inches.
1. What scale is Alexander using?
2. What is the height of Alexander's triangle in inches?
Alexander is utilizing a scale of 1 inch : 300 feet for his map.
The Alexander's triangle has a height of 4 inches in inches.
How to determine the map's scaleWhen comparing the initial dimensions as used by alexander, the scale of the map may be determined.
The scale is 1 inch: 300 feet since he used 10 inches to symbolize 3000 feet, this is gotten by diving both sides by 10
Using the scale factor 1 inch: 300 feet, the height of 1200 feet would be.
300 feet per inch, then ? inch is 1200 feet
? * 300 = 1200 * 1
? = 1200 / 300
? = 4 inches
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What is the solution to the system of equations?
y= 1.5x – 4
y=-x
(-1.6, 1.6)
(-1.5, 1.5)
(1.5, -1.5)
(1.6, -1.6)
Answer:
(1.6,-1.6)
Step-by-step explanation:
Got It Right On Edge
Answer:
Its D
Step-by-step explanation:
Trust
I also need help on this, it would mean millions to me as this is for a grade. :)
Answer:
The answer is the 3rd one, not equivalent. 8x+4y=4(2x+y)
The first shelf on Hannah’s bookshelf hoods an equal number of fiction and nonfiction. If Hannah’s selects 5 books randomly, what is the probability that 3 of the books will be fiction and 2 will be nonfiction
Answer:
The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
Step-by-step explanation:
What is probability?
Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.
To find which 2 books describe a pair of dependent events:
A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.
Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.
Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.
Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.
Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
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i need help plsssssssss
Answer:
d. 18
Step-by-step explanation:
Find the slope of
(15, 3) (0, 0)
Answer:
\(\frac{1}{5}\)
Step-by-step explanation:
Using the formula \(\frac{y2-y1}{x2-x1}\)
\(\frac{0-3}{0-15}\)
Solve
\(\frac{3}{15}\)
Simplify
\(\frac{1}{5}\)
The slope is \(\frac{1}{5}\)
What happens as the cross section moves away from the side to which it is parallel?
Based on the concrete of the cross-section, when the cross-section moves away from the side to which it is parallel, the cross-section becomes smaller but stays a trapezoid.
What is a Cross section?The cross-section is a term in geometry and science that is used to describe the cross-non-empty intersection of a solid body in three-dimensional space with a plane or the analog in higher-dimensional spaces.
Generally, the term Cross-section involves the cutting of an object into slices which creates many parallel cross-sections.
In this case, it is obvious from the image that when the cross-section shifts away from the side to which it is parallel, the cross-section becomes smaller but remains a trapezoid.
Hence, in this case, it is concluded that cross-section is important in defining the three-dimensional space.
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Algebra 1
> H.2 Distributive property BHL
Factor 2w + 8.
Write your answer as a product with a whole number greater than 1.
Answer:
2(w+4)
Step-by-step explanation:
2w+8
=2(w+4) -> factoring by grouping
How to solve #2 if you don’t know any of the side lengths?? (We’re learning about Pythagorean Theorem)
Answer:
Applying Pythagorean theorem in right triangle with c is longest side and a, b are the other sides:
=> c^2 = a^2 + b^2
=> a^2 = c^2 - b^2
=> b^2 = c^2 - a^2
Hope this helps!
:)
Answer:
c² = a² + b²
a² = c² - b²
b² = c² - a²
A triangle has side lengths of 6, 8 and 10. Which side lengths could be possible in a similar triangle
A) 3,4, and 7
B) 13.2, 17.6, and 22
C)9,15, and 16
D) 1.2, 1.6, and 2.5
Q9 PLEASE HELP ASAP I ONLY HAVE 5 MIN
Answer: y=5x+2
Step-by-step explanation: I answered this question already, I believe.
The solution is in the attachment!!
How often should you visit your courses
In D2L
It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.
WHATS 2.05 DIVIDED BY 164 IM IN 6TH GRADEE AHHH
Answer: 0.0125 is your answer
Cindy is buying a water pump. The box for Pump A claims that it can move 48 gallons per minute. Thefunction A(t) represents the amount of water (in gallons) Pump A can move after t minutes. The graph ofB(t) shows the amount of water in gallons that Pump B can move after t minutes.Enter a rule for each function A and B, and then compare their domains, ranges, slopes, and y-intercepts.
The rule of the function A(t) is A(t)= 48*t
For the second function we need to calculate the slope of the line with points (0,0) and (20,820)
\(m=\frac{y2-y1}{x2-x1}=\frac{820-0}{20-0}=\frac{820}{20}=41\)So, The rule of the function B(t) is B(t)= 41*t
The domain of the function A(t) is : [ 0, ∞ +)
The domain of the function B(t) is : [ 0, ∞ +)
The range of the function A(t) is : [ 0, ∞ +)
The range of the function B(t) is : [ 0, ∞ +)
The slope of the A(t) is greater than the slope of B(t) ( 48 is greater than 41)
The y-intercept of the A(t) is equal to the the y-intercept of B(t)
Of the 32 students in Joe's class, 8 students ride their bikes to school, 5 walk to school, 4 get a ride to school in a car, and 15 take the bus to school. What is the experimental probability of choosing a student who walks to school?
The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.
Given data ,
The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.
Number of students who walk to school = 5
Total number of students in the class = 32
Experimental probability = Number of students who walk to school / Total number of students
= 5 / 32
P = 0.15625
Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.
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21) If a dozen eggs cost $1.16 in 1995, approximately how much would they have cost in 2005, based on the change in
the CPI-U?
(a) $0.55
(b) $1.00
(c) $1.55
(d) $2.55
(e) $3.00
Answer: C, $1.55
Step-by-step explanation:
Joe is building a fort for his little brother out of boxes. He is wondering how much room there will be inside the fort.
How much space is inside the fort?
Give an exact answer (do not round).
Can someone please walk me through this?
3x-1=4x+8-x
3x-1=4x+8-x
3x -4x +x = 8+1
4x -4x = 9
0x =9
x= 9/0 which is undefined .
The table below represents equivalent ratios.
X y
6= 10
12 = 20
??= 45
Answer:
27
Step-by-step explanation:
6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.
What is the constant of proportionality between y and x in the graph?
Answer:
4
Step-by-step explanation:
Constant of proportionality refers to the slope of the line in this case, the slope of the line is (4-0)/(1-0)=4
If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
Find the area of each shape by decomposing it into smaller shapes, combining their area
Answer: 95 units squared
Step-by-step explanation:
Rectangle of 10*4=40
Rectangle of 5*7=35
Triangle of 4*10/2=20
40+20+35=95
Answer:
95
Step-by-step explanation:
24÷(8-4)×2=
A 2
B 16
C 12
D 4
Answer:
C. 12
Step-by-step explanation:
Please help me! 15 points for answering
Answer:
This statement is not true. (Alternate Interior Angles Theorem)
Step-by-step explanation:
<6 and <3 are both interior angles, meaning that they are on the interior of two transversals. They are also alternating the transversal, so they are alternate interior angles. The Alternate Interior Angles Theorem states that if a transversal crosses the set of parallel lines, the alternate interior angles are congruent. This means that <6 and <3 would be congruent to one another, so they would have to measure the exact same degree. Hope this helps! :)
Enter a number in the box to complete the sentence. Give your answer to the nearest half-hour.
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Answer:
Do you mean: When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.
If so your answer is: 2.5!
How to solve (x+7)(x-9)>0
9514 1404 393
Answer:
(x < -7) ∪ (x > 9)
Step-by-step explanation:
The zeros of the function are the values of x that make the factors zero.
x +7 = 0 ⇒ x = -7
x -9 = 0 ⇒ x = 9
When this is expanded, we can see that the leading coefficient is positive.
x² -2x -63 > 0
This means the parabola opens upward. It will be greater than 0 for x-values to the left of the left zero, and to the right of the right zero. (It is less than zero between those values.)
The solution is x < -7 or x > 9.
_____
In general, for polynomial inequalities, look for the locations of the zeros. The sign of the polynomial will have the sign of the leading coefficient for values of x to the right of the right-most zero. (Here, positive for x > 9.) As you progress farther to the left along the number line, the polynomial changes sign at each zero.
Here, the polynomial becomes negative between the values x=9 and x=-7. Then it is positive again for x < -7.
Is 83.77 an integer?
Answer:
It is not a integer, it is a rational number
Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!
Step-by-step explanation:
Find the mean of the integers -45 -20 -35 -25 -40
Answer:
-33
The mean of the data set -45, -20, -35, -25, and -40 is -33.
Hope it helps.
The mean of given integers is -35.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
The given integers are -45, -20, -35, -25, -40.
We know that, mean = Sum of all the observations/Number of observations
= [(-45+(-20)+(-35)+(-25)+(-40)]/5
= (-45-20-35-25-40)/5
= -165/5
= -35
Therefore, the mean is -35.
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Write a function in vertex form that is translated 3 units down and 3 units to the right of f (x) = x^2
f (x) =
Answer:
f(x)= (x-3)^2-3
Step-by-step explanation:
Vertex Form: y= a(x-h)^2+k
a is the reflection
h and k are the vertex so in an ordered pair (x,y) = (h,k)
Since it is translating 3 units down it is going to be a negative 3. If it was translating up it would be positive 3. This represents the "k" because it is moving on the y-axis.
Since it is translating 3 units to the right it is going to be positive 3. If it was translating left it would be negative 3. This represents the "h" because it is moving on the x-axis.
After plugging it into the vertex form formula: f(x)= (x-3)^2-3
*notice when I plugged the "h" in it became negative because x-(3)= x-3*
Mr. Smith is putting a brick border around his irregular shaped yard. Before installing the border, he must cut the bricks to fit the angles of the garden. Use the given measures to answer the question.
The angle measures are given as follows:
m < A = 184º.m < B = 156º.m < C = 137º.m < D = 177º.m < E = 34º.m < F = 128º.How to obtain the angle measures?First we must obtain the value of x, considering the total sum of the interior angle measures of the polygon, and then with the value of x we obtain each angel measure.
The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:
S(n) = 180 x (n - 2).
The polygon has six vertices, hence the sum is given as follows:
S(6) = 180 x 4
S(6) = 720.
We then add all the angle measures to obtain the value of x as follows:
7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720
28x = 768
x = 768/28
x = 27.43.
Then each angle measure is rounded as follows:
m < A = 7(27.43) - 8 = 184º.m < B = 4(27.43) + 46 = 156º.m < C = 5(27.43) = 137º.m < D = 6(27.43) + 12 = 177º.m < E = x + 7 = 34º.m < F = 5(27.43) - 9 = 128º.More can be learned about the sum of the interior angle measures of a polygon brainly.com/question/224658
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