Answer:
[tex]\frac{a^{2} }{10}[/tex]
Step-by-step explanation:
5*10 = 50. 50 = 25+25. The sqrt of 25 is 5, so 2 5's make 10.
The calculation of the product [tex]a^2/5(10)[/tex] involves squaring the base 'a', then dividing by 5 and finally, multiplying by 10. The solution will depend on the given value of 'a'.
Explanation:The question is asking for the product of [tex]a^2/5(10),[/tex] neglecting any typos. Here, we are assuming that the exponent 'a' in [tex]'a^2[/tex]' is the base, which is usually a positive integer. Using the given values, the expression becomes:
[tex]10 \times (a^2 / 5)[/tex]
To simplify this expression, we first square the base 'a'. If for example, 'a' is equal to 5 (the square of 5 is 25), the expression can be rewritten as:
10 * (25 / 5)
The final calculation becomes: 10 * 5 equaling 50 as the final answer. Please note that this example is strictly for illustrative purposes and the solution will vary according to the provided value of 'a'. The concept underlying the problem is exponentiation, multiplication, and division.
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Create a real-world problem involving three lengths that form a right triangle
Give the measurement of the “legs”, then solve for the missing hypotenuse
Answer:
A ladder is leading on a wall that is 4 feet tall. The distance from the bottom of the ladder to the wall is 3 feet wide. Therefore, using the Pythagorean Theorem, 3^2 + 4^2 = 9 + 16 = 25. The square root of 25 is 5. The triangle's hypotenuse or the ladder's length is 5 feet.
The length of the hypotenuse is 25 feet
What is a right-triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle-triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
According to the given problem,
Let us assume,
A pole of length 15 feet cast a shadow of length 20 feet. What is the distance between the tip of the pole and the tip of the shadow?
Now, given,
Perpendicular = 15 feet
Base = 20 feet.
We know,
Hypotenuse² = Perpendicular² + Base²
⇒ H² = 15² + 20²
⇒ H² = 225 + 400
⇒ H² = 625
⇒ H = 25
Hence, we can conclude, the distance from the tip of the pole to the tip of the shadow is 25 feet.
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A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 30% salt and Solution B is 70% salt. She wants to obtain 120 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?
Answer:
Solution A: 15 ounces
Solution B: 105 ounces
Step-by-step explanation:
A + B = 120
A = 120 - B
0.3A + 0.7B = 0.65(120)
0.3A + 0.7B = 78
0.3(120 - B) + 0.7B = 78
36 - 0.3B + 0.7B = 78
0.4B = 42
B = 105
A = 120 - 105
A = 15
Answer:
15 ounces solution A
105 ounces solution B
Step-by-step explanation:
Let x be the amount of solution A
We need a total of 120 ounces of solution
Therefore we need
120-x ounces of solution B
Take the ounces of solution A times the percentage salt + the ounces of solution B times the percentage salt and this should equal the total ounces time the percentage sale
.3 x + (120-x) *.7 = 120 * .65
Distribute
.3x +84 -.7x = 78
Combine like terms
-.4x = -6
Divide each side by -.4
-.4x/-.4 = -6/-.4
x =15
We need 15 ounce of solution A
We need 120 ounces total
120-15 =105 ounces of solution B
how to divide 344/20 x 10^3
with explanation
Which number line represents the solutions to 1-2x = 4?
Answer:
The third dot is my answer. But don't take it for granted. Try it yourself and see what you come out with!
Step-by-step explanation:
Answer:
-1/2x > = 4 ...multiply both sides by -2, change inequality sign
x < = 4 * -2
x < = -8
closed circle (because of the equal sign) on -8, shading to the left (because it is less then)
Step-by-step explanation:
What is the length of ED in the given cube? Round to the nearest tenth of an inch if necessary. in.
Answer: 12 in
Step-by-step explanation:hope this helps
Answer:
12
Step-by-step explanation:
Find the area of the trapezoid.
A trapezoid has a base of 8 meters, a height of 6 meters, and a top side length of 4 meters.
The trapezoid has an area of
m2.
Answer:
36 [tex]m^{2}[/tex]
Step-by-step explanation:
A =[tex]\frac{a+b}{2}[/tex]h
that is the formula for area of a triangle so when you insert all those numbers you get 36
:)
Area of the trapezoid is, 36 m²
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
A trapezoid has a base of 8 meters, a height of 6 meters, and a top side length of 4 meters.
Now, We know that;
Area of trapezoid = (a + b) h / 2
Here, We have;
a = 4 meters
b = 8 meters
h = 6 meters
Substitute all the values, we get;
Area of trapezoid = (a + b) h / 2
Area of trapezoid = (4 + 8) × 6 / 2
Area of trapezoid = 12 × 3
Area of trapezoid = 36 m²
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Your local Ford dealership is having a sale. All 2008 model trucks have been reduced by 15% and for a limited time, all tra
will discount the truck an additional 5%. Given this information, determine the decay factor corresponding to each percent
decrease.
a. 0.85; 0.95
C. 15; 5
b. 85, 95
d. 0.15;0.05
Please select the best answer from the choices provided
ОА
OB
oc
D
Mark this and return
Save and Exit
Next
Submit
Answer: the answer is A. 0.85; 0.95
Answer:
The answer would be A
Step-by-step explanation:
edge 2021, hope this helps
Find the accumulated value of an investment of $1,400 at 8% compounded quarterly for 4 years.
Final answer:
The accumulated value of a $1,400 investment at an 8% annual interest rate, compounded quarterly for 4 years, using the compound interest formula, is $1,914.31.
Explanation:
To calculate the accumulated value of an investment with compound interest, we use the formula A = P(1 + r/n)^(NT), where:
P is the principal amount (the initial amount of money)r is the annual interest rate (in decimal form)N is the number of times the interest is compounded per yearT is the time the money is invested for, in yearsIn this case, the student invests $1,400 at an 8% annual interest rate, compounded quarterly for 4 years.
Using the formula:
Convert the annual rate to a decimal: 8% = 0.08
Determine the number of compounding periods per year: Quarterly means 4 times per year
Calculate the number of compounding periods: 4 years × 4 times per year = 16 total compounding periods
Calculate the accumulated value: A = 1400(1 + 0.08/4)^(4×4)
Plugging in the values:
A = 1400(1 + 0.02)^(16)A = 1400(1.02)^16A = 1400 × (1.367363)A = $1,914.31Therefore, the accumulated value of the investment after 4 years is $1,914.31.
The very busy Freshman class is selling tickets for an upcoming field hockey game. The class sells 20 more student tickets than adult tickets. The adult tickets cost $4 and the student tickets cost $2. The class made a total of $280 from ticket sales. How many of each type of ticket did they sell? Elaborate and clarify your reasoning.
1a. Define the variables in this system
b. Create equations to describe the relationships in this system between the variables
Answer:
60 student tickets and 40 adult tickets were sold
Step-by-step explanation:
Let s represent student tickets and a adult tickets, then the system of equations can be written as
s - a = 20 →(1)
2s + 4a = 280 → (2)
Multiply (1) by 4 and add to (2) to eliminate a
4s - 4a = 80 → (3)
Add (2) and (3) term by term
6s = 360 ( divide both sides by 6 )
s = 60
Substitute s = 60 into (1)
60 - a = 20 ( subtract 60 from both sides )
- a = - 40 ( multiply both sides by - 1 )
a = 40
Thus
60 student and 40 adult tickets were sold.
Determine the approximate ordered pair for f(x) = g(x). the graph of two linear functions negative 4 times x plus 15 times y equals negative 300 and 20 times x plus 4 times y equals negative 20
Answer:
(x, y) ≈ (2.848, -19.241)
Step-by-step explanation:
I find it much easier to work with the problem statement when math expressions are written using numbers and symbols. We assume you have ...
-4x +15y = -300
20x +4y = -20
Dividing the second equation by 4 and subtracting the x-term gives ...
y = -5-5x
Substituting that into the first equation, we get ...
-4x +15(-5-5x) = -300
-79x -75 = -300
x = -225/-79 = 2 67/79 ≈ 2.8481
Substituting this into the equation for y gives ...
y = -5(x +1) = -5(3 67/79) = -19 19/79 ≈ -19.2405
The approximate solution is ...
(x, y) = (2.8481, -19.2405)
Answer:
The answer is (3,-19)
because you see on the graph that's where they intersect f(x) = 3 and g(x) = -19.
Step-by-step explanation:
can i get brainiest pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
The function f(x) = 185(1.2)x models the number of foxes on a reservation x years from now. What does the 185 represent?
Answer:
It is the number of foxes in time t=0.
Step-by-step explanation:
If you evaluate f in x=0, you obtain that f(0) = 185*1.2⁰ = 185*1 = 185. This means that after 0 years, the number of foxes on the reservation is 185. In other words, the reservation starts with 185 years and then it grows. 185 here represents, as a result, the value of f, in other words the number of foxes, at time t=0.
2, 5, 7, 12, 19 ...
What are the next two terms in this sequence?
Final answer:
The next two terms in the sequence 2, 5, 7, 12, 19 are 30 and 43, which are derived by following a pattern of increasing each term by the next prime number.
Explanation:
To determine the next two terms in the sequence 2, 5, 7, 12, 19, we need to look for a pattern. Let's examine the differences between consecutive terms:
5 - 2 = 3
7 - 5 = 2
12 - 7 = 5
19 - 12 = 7
It seems that there is no straightforward arithmetic progression, but we can notice a pattern in the differences: 3, 2, 5, 7. The differences themselves seem to be part of a sequence. If we take subtract 1 from the second term, add 3 to the third term, and add 2 to the fourth term, we get a sequence of primes: 3, 2, 5, 7. Following that pattern, the next prime numbers are 11 and 13.
So if we add 11 to the last term (19), we get 30 as the next term. Adding 13 to 30 gives us 43 as the term after that. Therefore, the next two terms in the sequence should be 30 and 43.
[70 POINTS] What is the perimeter of the following composite figure?
21 yd
42 yd
47.13 yd
35.13 yd
Answer:
21
Step-by-step explanation:
The perimeter of the composite figure is T = 47.13 yd
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P of rectangle = 2 ( Length + Width )
Given data ,
Let the perimeter of the composite figure be T
Let the rectangle be represented as ABCD
Now , the semicircle is AC
where the perimeter of rectangle P = 12 + 12 + 9
P = 33 yards
And , the circumference of the semicircle C = πr
C = 3.14 x 4.5 = 14.13 yards
So , T = P + C
T = 33 + 14.13
T = 47.13 yd
Hence , the total perimeter of the figure is T = 47.13 yd
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North Carolina: 79.6 years
Oregon: 82 years
District Of Columbia: 77.9 years
Nevada: 81.3 years
New York: 82.5 years
Colorado: 80.9 years
Alaska: 74.9 years
Connecticut: 82.7 years
Montana: 74.1 years
Mississippi: 74.2 years
please answer all questions to the best of your ability!!
will rate brainliest!!
thank you so much
Answer:
Step-by-step explanation:
Think: They want us to make a box-o-gram (histogram and box-whisker-plot combo).
Identify: They gave us the information we need and we know that health care varies in each state, so that affects the life longevity and also different imcomes affect the care people resceive. We will make the box-o-gram after ordering the data appropriately.
Do: After ordering the numbers from least to greatest, we make calculations for the medians and mean. Here are the answers:
Least: 75 (Need to round up for this)
Greatest: 83 (Need to round up)
Q1: 90.2 (Got this by adding the two numbers of the upper half of data and dividing by 2)
Median/mean: 86.2 (Average of the data)
Q3: 85 (Rounded. Got this by adding the two numbers of the middle half of data and dividing by 2)
Answer:
A: 75
B: 86.2
C: 90.2
D: 85
E: 83
Yes, this makes sense since the data on the box-o-gram fall within the data given in the chart at the top of the worksheet.
Find the mode and median of the following data set
Red, purple, white, red, white, black, white, white, black, blue, black, red, black, blue, black, black
The mode of the given data set is black, and the median is blue.
Explanation:In the given data set Red, purple, white, red, white, black, white, white, black, blue, black, red, black, blue, black, black, the mode is the value(s) that occur(s) most frequently. The mode in this data set is black as it appears 6 times, which is more than any other value in the set.
The median is the middle value when the data set is arranged in order. To find the median, we first need to order the data set: black, black, black, black, black, blue, blue, purple, red, red, red, white, white, white, white. As there are 15 values in the set, the middle value is the 8th value, which is blue.
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Analyzing Work
Did Bryn come to the correct conclusion? If not
explain her error.
Bryn checked the measures of the stairs to make sure
they formed a right triangle. The measures of the steps
were 5 in., 13 in., and 12 in.
Bryn's work is shown below:
1 5² + 13² = 12²
2. 25 + 169 = 144
3. 194. 144
Conclusion: Not a right triangle
No. In step 1 she did not apply the Pythagorean
theorem correctly.
C No. In step 2 she did not square each term
correctly
No. She should have used the outcome from step
3 to conclude that the triangle is a right triangle.
Yes, Bryn came to the correct conclusion
Answer:
she did not apply the Pythagorean theorem correctly
Step-by-step explanation:
It should be [tex]5^{2} +12^{2} =13^{2}[/tex]
the sum of the squares of smaller sides equals to the square of the longest side. So in this case it is a right triangle: 25+144=169
Answer:
a
Step-by-step explanation:
Find the total length of six sections when each section is 72.5mm in length
Answer:
72.5 mm times 6 = 435 mm
Step-by-step explanation:
Classify the following triangle. Check all that apply.
9.8 120° 5.2
2040
13.2
A. Scalene
O
B. Isosceles
O
C. Obtuse
o
D. Right
E. Equilateral
O
F. Acute
SUBMIT
The given triangle is a scalene triangle and also an obtuse triangle.
What is a triangle?A triangle is a two-dimensional geometrical figure that has three sides, three interior angles and three vertices.
For the given triangle, three sides are 9.8, 13.2, 5.2.
Three angles are 120°, 40°, 20°.
Therefore, the given triangle is a scalene triangle and also an obtuse triangle.
Since three sides of the given triangle are different.
Therefore, it is neither a isosceles triangle nor an equilateral triangle.
None of the angles is a right-angle.
Hence, it is not a right-angle triangle.
One of three angles of the given triangle is 120°.
Hence, it is not an acute triangle.
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Over which interval(s) is the function decreasing?
A) (-1, 1) (3, ∞)
B) (-∞, -1) (1, 3)
C) (-∞, -0.25) (1.75, 3)
D) (-0.25, 1.75) (3, ∞)
You flip a coin and roll a regular six-sided number cube. Find the probability of flipping tails and rolling an even number
Answer:
Since flipping a coin and rolling a 6-sided die are independent events ,thus the probability of getting head and an even number is just the product of the individual probability of events.
Let A be the event of getting a head ,and B be the event of getting an even number on die.
therefore, P(A and B)=P(A) P(B)=(1/2)*(3/6)=1/4=0.25
A spinner has four unequal parts. Tony spun the spinner 16 times. The spinner landed on
red 1 time, blue 2 times, yellow 3 times and green 10 times. Using this data, what is the
most likely outcome on the next spin?
red
blue
green
yellow
Answer:Green
Step-by-step explanation:
Final answer:
Based on past spins, the most likely outcome for the next spin is green, as it was landed on the most frequently.
Explanation:
If a student spun a spinner 16 times and it landed on red 1 time, blue 2 times, yellow 3 times, and green 10 times, the most likely outcome on the next spin would be green.
This conclusion is based on the relative frequency of the outcome for each color so far. The frequency suggests that the spinner is biased toward the green section since it has been landed on the most in this small sample of spins. Assuming the conditions remain the same and there's no alteration to the spinner, the probability of landing on a particular color is proportional to the number of times it has been landed on in the past.
Therefore, with the information provided and based on past occurrences, green is the most likely outcome for the next spin on this specific spinner.
asap URGENT work out x
Answer:
360/180
Step-by-step explanation:
Identify the equation of the translated graph in general form x^2+y^2= 8 for T(7,5)
Answer:
to be honest i dont know how to answer this question do you want me to solve it? if so here is the aswer
x=±√
8−y
2
Step-by-step explanation:
1 Subtract {y}^{2}y
2
from both sides.
{x}^{2}=8-{y}^{2}x
2
=8−y
2
2 Take the square root of both sides.
x=\pm \sqrt{8-{y}^{2}}x=±√
8−y
2
Done
Answer:
the answer is D on edge
Step-by-step explanation:
PLEASE HELP ASAP!!!
Using the data below, determine the percentage of people who prefer cats?
A. 36%
B. 10%
C. 5%
D. 18%
Answer:
A. 36%.
Step-by-step explanation:
Total number of pets = 24 + 18 + 5 + 3
= 50,
So the percentage who prefer cats
= 18/50 * 100
= 18 * 2
= 36%.
If x + 3y = 7 and y = 2, then x equals
Answer:
I think the answer is x=1
Step-by-step explanation
Well since y=2 then I would multiply 2 with 3. And that is 6. Lastly, I would subtract 7 with 6 and you'll get 1 left over.
The value of x equals 1.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given equation is,
x + 3y = 7
We have to substitute the value of y = 2.
x + (3 × 2) = 7
x + 6 = 7
Subtracting 6 from both sides,
x = 7 - 6 = 1
Hence the value of x is 1.
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Please help!!
Explain how to describe the data on a histogram.
Answer:
In a histogram, the distribution of the data is symmetric if it has one prominent peak and equal tails to the left and the right. The Median and the Mean of a symmetric dataset are similar.
Step-by-step explanation:
Answer:
You can consider a cluster, which is a group of the bars, and this could help define the higher frequency in these intervals. Another way is the peak which is there the frequency is highest. There can also possibly be bars on a certain area, meaning the frequency is 0. You can also describe a histogram as symmetrical, evenly distributed, or none of those.
Step-by-step explanation:
A cluster is a group of bars, meaning the frequency is higher in these intervals. A peak is a bar that is higher than the other bars around it. So a peak is where the frequency is highest. Intervals on a histogram where there are no bars means the frequency is 0. If the graph is symmetrical, then the data are evenly distributed.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
A peak is where the frequency is highest.
Intervals on a histogram where there are no bars means the frequency is 0.
If the graph is symmetrical, then the data are evenly distributed.
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HELP ME PLEASEEEEEEEEEEEEEEE
Which numbers make a true statement when placed in the box?
8.035< □
Select each correct answer.
8.135
8.305
8.028
8.507
Answer:
8.028
Step-by-step explanation:
Answer:
8.035 is less than 8.135 and 8.305
Step-by-step explanation:
EASY JUST LOOK AT THE DECIMAL NUMBERS AND SEE WHICH ARE GREATER :)
I have nine books and have room to display only four of them at a time on my bookself. How many different ways could I do this?
A right triangle has an area of 33 mm² and a height of 11 mm.
How long is the base of the triangle?
Enter your answer in the box.
mm
Answer:
6mm
Step-by-step explanation:
Answer:
6 mm
Step-by-step explanation:
I took the quiz
Suruchi is reading a book that is 333 pages long. So far, she has read 5/9 of the book. How many pages does Suruchi have left to
read?
Final answer:
Suruchi has read 5/9 of a 333-page book, which equates to approximately 185 pages. Therefore, she has 148 pages left to read.
Explanation:
The student is asking how many pages Suruchi has left to read from a book that is 333 pages long given that she has already read 5/9 of the book. To find the number of pages read, we multiply 5/9 by the total number of pages:
Pages read = (5/9) imes 333After calculating, Suruchi has read 185 pages since 5/9 of 333 is approximately 185. Therefore, the number of pages she has left to read is:
Pages left = Total pages - Pages readPages left = 333 - 185 = 148So, Suruchi has 148 pages left to read.