Answer:
A straight
B obtuse
C acute
Answer:
1) Straight a
2)Obtuse c
3)Acute d
4)Reflex b
Step-by-step explanation:
please mark me as brainlest
−1+log 6 (2x+3)−log 6 (2x)=0
Answer:
Step-by-step explanation:
Let us solve the equation for X-
-1+log 6 (2x+3)-log 6 (2x)=0
adding +1 to both sides-
-1+1+log 6(2x+3)-log 6 (2x)=0+1
log 6(2x+3)-log 6 (2x)=1 . . . (1)
using logarithmic rule,
log a - log b= log(a/b)
equation (1) becomes,
log [6(2x+3)/6(2x)]=1 . . .(2)
equation (2) becomes,
log[(2x+3)/2x]=1....(3)
Again using the logarithmic rule,
log a = b
is equivalent to 10∧b = a
hence equation 3 becomes,
10∧1= (2x+3)/2x
i.e. 10 = (2x+3)/2x. . .(4)
multiplying both sides by 2x, considering x is not 0.
equation( 4) becomes
20x = 2x+3. . .(5)
subtracting 2x from both sides
equation (5) becomes,
18x=3
dividing both sides by 3,
we get,
x=6
Hence value of x is 6.
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If n is an odd number, then its remainder is 1 when I divide it by 2.
17 is an odd number. What conclusion can be made?
Answer: Its remainder is 1 when you divide 17 by 2.
In other words, 17/2 = 8 remainder 1.
The 8 is the quotient.
The reason why we know we get a remainder 1 is because the condition of "if n is an odd number" and here n = 17 is odd. So the first condition is met allowing us to use the full "if, then" statement given to us.
Simplify the expression -8(2a-7)
Answer:
-16a + 56
Step-by-step explanation:
Hope this helps
Answer:
-16a + 56
Step-by-step explanation:
Multiply using distributive property.
Hope I helped.
Write an expression using the distributed property to dind the product of 7x63
The product of the expression 7 x 63 is 441.
We have,
To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:
7 x 63 = 7 x (60 + 3)
Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:
7 x (60 + 3) = 7 x 60 + 7 x 3
Simplifying further:
7 x 60 + 7 x 3 = 420 + 21
Therefore,
The product of 7 x 63 is 441.
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A trawler A is 40km west of another trawler B. A set off at 20kmh travel at 25kmh. What course should trawler B take to intercept trawler A
Trawler B should take a course that is 18 degrees east of north.
How to explain the angleIn order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.
Here are the steps to find the course that Trawler B should take:
Draw a diagram of the situation.
Label the two trawlers A and B.
Draw a line representing the direction that Trawler A is traveling.
Draw a line representing the direction that Trawler B should travel.
Measure the angle between the two lines.
The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.
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Please help! Write an expressive that is equivalent to 1/2a - 4.
If I was getting food stamps and I needed three months proof of income and I had to have a gross of 2495 and net of 1920 what would I need to put for the three months income amount?
Answer:
26
Step-by-step explanation:
10 + 15
Answer:
Step-by-step explanation:
yes you would. they are very strict with food stamps or EBT card they will still ask for the 3 months for so put in your 3 months and you should be fine.
3x - y = 1; D: (-3, -1, 0, 4)
Graph each function for the given domain
Evaluating the function in the values of the domain we will get some coordinate pairs. The graph of these is in the image at the end.
How to graph the function in the given domain?Here we have the function:
3x - y = 1
And we want to graph this in the domain (-3, -1, 0, 4)
To do so, we need to evaluate the function (the values of x) in the values of the domain.
Solving the equation for y we get:
y = 3x - 1
Now, when x = -3
y = 3*-3 - 1 = -10
when x = -1
y = 3*-1 - 1 = -4
when x = 0
y = 3*0 - 1 = -1
When x = 4
y = 3*4 - 1 = 11
So we have the points (-3, -10), (-1, -4), (0, -1), (4, 11)
The graph of these points is on the image below.
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What is the surface area of a rectangular prism that is 4 inches long, 5 inches wide, and 8 inches tall?
Answer:
160
Step-by-step explanation:
4x5=20.
20×8=160
l×w×h.
Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle? (2 points)
quick please
100 points
We can see here that the Pythagorean theorem can help one determine whether the roped off area is in the shape of a right triangle because the converse of Pythagorean Theorem is actually used to prove that a triangle is a right triangle.
What is Pythagorean theorem?Let's understand the definition and meaning of Pythagorean Theorem. Pythagorean Theorem is actually seen as the fundamental concept that is used to describe the relationship that exists between all the sides of a right-angled triangle.
The theorem actually states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the two shorter sides, and "c" is the length of the hypotenuse.
When we don't know that a triangle is a right-angle triangle, we use the converse to prove it.
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Given u=12i-3j and v=-5i+11j, what is u x v?
Answer:
117
Step-by-step explanation:
You want the cross product of vectors u = (12i -3j) and v = (-5i +11j).
Cross productThe cross product of 2-dimensional vectors is a scalar that is effectively the determinant of the matrix of coefficients.
u×v = (12)(11) -(-3)(-5) = 132 -15
u×v = 117
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Jordan had a bake sale. Muffins cost $3 each and cookies cost $2 each. Jordan earned $24.
(Select all)
- 0 muffins and 8 cookies
- 9 muffins and 2 cookies
- 2 muffins and 9 cookies
- 6 muffins and 4 cookies
- 4 muffins and 6 cookies
Answer:
0 muffins and 8 cookies
6 muffins and 4 cookies
Explain:
These are the only two combinations of muffins and cookies that Jordan could have sold to earn $24. If Jordan sold 0 muffins and 8 cookies, they would have earned $24 because 0 x $3 + 8 x $2 = $24. If Jordan sold 6 muffins and 4 cookies, they would have earned $24 because 6 x $3 + 4 x $2 = $24.
What is 15/4 x 13/4 x 12/4? please help
\(\dfrac{15}{4} \times \dfrac{13}{4} \times \dfrac{12}{4} = \dfrac{15 \times 13 \times 12}{4 \times 4 \times 4}\)
You will need to reduce the answer you get from that, since there are numbers that divide into both the numerator and denominator.
Can you take it from there?
Answer:
585/16
Step-by-step explanation:
Assuming these are 3 separate fractions 15/4 and 13/4 and 12/4,
multiply all the numerators 15 x 13 x 12 = 2340
multiply all the denominators 4 x 4 x 4 = 64
This is your fraction answer
2340/64
You can reduce it by dividing numerator and denominator by 4
585/16
What is the value of (2/3)^4 ?
Answer:
THE ANSWER IS 81/16 OR C
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
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Pls Help! Actually give a legit answer (NO LINKS!)
Answer:
unfortunately i cannot tell you the exact answers; however, i can suggest something instead. my suggestion is that if there's any math notes that are available, maybe you could look over them-then apply that to the problems.
Step-by-step explanation:
I hope this helps you!
Choose the definition for the function.
A.
C.
4x
2x + 2
-
43 2
73
2x - 2
-x-4
if x < 0
if x ≥ 0
if x < 0
if x > 0
B.
D.
2x + 2
-x+4
-x + 4
2x + 2
if x ≤ 0
if x > 0
if x < 0
if x > 0
Enter
The piecewise function for this problem is defined as follows:
B.
y = 2x + 2, x ≤ 0.y = -4/3x + 4, x > 0.How to define the function?The function is a piecewise function, as the function has different definitions based on the input of the function.
The different definitions for the graph are given as follows:
Left of x = 0. (closed). Right of x = 0. (open).To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:
y = 2x + 2, x ≤ 0.
To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:
y = -4/3x + 4, x > 0.
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I am need help and an explanation on how to read these graphs.
Answer:
i think its b
Step-by-step explanation:
A $60 sweater is on sale for 25% off. What is the sale price of the sweater?
Answer:
$45
Step-by-step explanation:
60/4=15 15x3(75%)=45
your sweater is $45 with the discount
The annual rate, r, it takes for 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
Find the rate necessary for a dollar to triple in 2 years.
The rate of interest is 73%.
What is the annual rate?
The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.
Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
A dollar to triple in 2 years.
Thus putting X = 3 in X = (1+r) ²
3 = (1+r) ²
Take square root on both sides:
√3 = 1 + r
Subtract 1 from both sides:
r = √3 - 1
r = 0.73
r = 73%
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Nolan found two stores that selll filled party favor bags.
The table shows his options. Which store has the lesser
cost per filled bag? How much less?
Store
Cost (5)
Number
of Bags
8
12
Party R Us
Celebrations
12
21
Answer: party r US is cheaper
Step-by-step explanation: if 8 is $12 then 1 is $1.5 since 1.5 x 8 is 12
And if 12 is $21 then 1 from that other store is 1.75 so party R us has least
Celebrations have a lesser cost per filled bag, and it is about $0.10 less per bag than Party R Us.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
To find out which store has the lesser cost per filled bag, we need to calculate the cost per bag for each store. To do this, we divide the cost by the number of bags:
For Party R Us: Cost per bag = 8 ÷ 12 = 0.67
For Celebrations: Cost per bag = 12 ÷ 21 ≈ 0.57
Therefore, Celebrations has a lesser cost per filled bag, and it is about $0.10 less per bag than Party R Us.
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Two groups collect litter along the side of a road. It takes each group 5 minutes to clean up a 200-yard section. How long does it take to clean up 2 miles?
It takes__minutes to clean up 2 miles.
HELPPPP!!!!!!!!!!!!!
Each group can clean 200 ÷ 5 = 40 yards each minute, so together the two groups can clean 80 yards each minute. So, it takes 3520 ÷ 80 = 44 minutes to clean 2 miles.
What is two divided by nine tenths
Answer:
20/9
Step-by-step explanation:
2/9/10 = (2/1)(10/9)
(2)(10/9) = 20/9
A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
х
y
1
9
N
6
LinReg
y = ax+b
0=-3.6
b=12.8
r2=.9969230769
r=-.9984603532
3
2
4
-2
5
-5
What is the line of best fit?
A. y = -3.6x + 12.8
O B. -0.998 = -3.6x + 12.8
O c. y = 12.8x - 3.6
D. y = -0.998x + 12.8
Answer:
Step-by-step explanation:
A y = -3.6x + 12.8
The line of best fit is,
⇒ y = - 3.6x + 12.8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, Given that;
⇒ y = ax + b.
And, the best fitting line has values of a = - 3.6 and b = 12.8.
Hence, All you need do is put that into the general equation and try different values for it.
So you have y = - 3.6 x + 12.8
Now Let's run a couple of numbers.
The table shows 1 and 9 for the first entry. This means when x = 1, y should come pretty close to nine.
y = - 3.6(1) + 12.8
y = 9.2
Which is not a bad result for x = 1
You might want to check to see if anything else comes closer in your choices. If it does, then you have to try other points.
C
-0.998 = -3.6(1) + 12.8
This answer cannot work. We've already shown that x =1 will leave us close to 9 not -998
So, C is incorrect.
B
y = 12.8x - 3.6
Let x = 1
y = 12.8(1) - 3.6
y = 9.2 is right by coincidence. We must try another value. The hardest one is going to be 5 and - 5
y= 12.8*5 - 3.6
y = 64 - 3.6 which is no where's near - 5.
So B is wrong.
A
y = -0.998(1) + 12.8 Does this give 9 or anywhere near it? 11.802 You might argue that that is not a bad result. So let's try another pair.
x = 3. y should come to somewhere near 2.
y = -0.998 * 3 + 12.8 which comes to roughly nine. You can check this out.
It is not close enough to 2 to be acceptable.
Thus, The correct option is,
⇒ y = - 3.6x + 12.8
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Which graph represents the solution set to the system of inequalities?
{ Y ≤ 1/4X-2
Y ≥ −54X+2
ANSWER Down Below
The graph of the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
Is in the image at the end.
Which is the graph of the system of inequalities?Here we have the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.
Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.
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What do the slop and y intercept represent
Answer:
y intercept is the point on the graph where the line intersects the y axis. the slope is the rate at which the graph rises and/or falls
Step-by-step explanation:
How is the series 6+13+20+...+111 represented in summation notation?
Notice that
6 + 7 = 13
13 + 7 = 20
so if the pattern continues, the underlying sequence in this series is arithmetic with first term a = 6 and difference d = 7. This means the k-th term in the sequence is
a + (k - 1) d = 6 + 7 (k - 1) = 7k - 1
The last term in the series is 111, which means the series consists of 16 terms, since
7k - 1 = 111 ==> 7k = 112 ==> k = 16
Then in summation notation, we have
\(\displaystyle 6+13+20+\cdots+111 = \boxed{\sum_{k=1}^{16}(7k-1)}\)
uppose a computer animator has worked on 56 projects. If the ratio of video games to all other projects is 5:9, how many projects are video games?
Answer:
Number of video game = 20
Step-by-step explanation:
Given:
Total number of project = 56
Ratio = 5:9
Find:
Number of video game
Computation:
Number of video game = 56[5/(5+9)]
Number of video game = 56[5/(14)]
Number of video game = 280 / 14
Number of video game = 20
If –x is greater than or equal to –4, then what must be true about x? Test several values of x to check your answer.
Help. PLEASE...
Answer:
Step-by-step explanation:
Hello,
\(-x\geq -4\\ \\<=>0=-x+x\geq -4+x\\\\<=>4+0=4\geq -4+x+4=x\)
Then, we find that
\(\Large \boxed{\sf \bf x\leq 4}\)
For instance if x = 0
-x = 0 and the following is true and equivalent
\(0\geq -4\)
\(0\leq 4\)
If x = 2
-x = -2 and the following is true and equivalent
\(-2\geq -4\\ \\2\leq 4\)
Thanks
write the roster from of
{ x:x is a factor of 42 }
Answer:
the correct answer is
{2,3,6,7,14,21,}