Answer:
2.44x10^-9
1.05x10^-6
3.75x10^4
1.49x10^5
3.81x10^8
Final answer:
Values in scientific notation are ordered by their exponent values. First, compare the sign and size of the exponents, and then compare the coefficients if necessary. The ordered values from least to greatest are: 2.44 x 10^-9, 1.05 x 10^-6, 3.75 x 10^4, 1.49 x 10^5, 3.81 x 10^8.
Explanation:
To order the given values in scientific notation from least to greatest, we look at the exponent to determine their relative sizes. The values with negative exponents will be smaller than those with positive exponents, and among those with the same sign exponents, the one with the smaller absolute value of exponent is smaller. Then we compare the coefficients if necessary, that is if the exponents are the same.
[tex]2.44 x 10^-9[/tex]
[tex]1.05 x 10^-6[/tex]
[tex]3.75 x 10^4[/tex]
[tex]1.49 x 10^5[/tex]
[tex]3.81 x 10^8[/tex]
Veronique found the difference of a number and 8.
Which expression models the situation?
n-8 8/n 8-n
Answer:
n-8
Step-by-step explanation:
Let
n ----> the number
we know that
To find the difference of a number and 8, subtract 8 from the number
so
n-8
The x-intercept of the line whose equation is x - y = 3 is
-3
0
3
[tex]\textbf{Answer:}[/tex]
[tex]3[/tex]
[tex]\textbf{Step-by-step explanation:}[/tex]
[tex]\textrm{The x int. can be determined when y is equal to zero.}[/tex]
[tex]x - 0=3\\ x = 3[/tex]
Answer:
3
Step-by-step explanation:
x-y =3
To find the x intercept, set y=0
x-0 =3
x=3
plz help which expression is equivalent to 4-2/2^-3
8
16
-8
-16
Answer:
The answer is 16.
Step-by-step explanation:
In this expression 4-2/2^-3, first of all we will solve the numerator.
Subtract 4 and 2
4-2= 2
So, the expression will become 2/2^-3
Now notice that the numerator has the base 2 and exponent 1 where as the denominator has the base 2 and exponent -3. Both the numerator and denominator have the same base
So we will use the property a^m/a^n=a^m-n.
=2/2^-3
=2^1-(-3)
=2^1+3
=2^4
2^4 means that 2 will be multiplied 4 times.
=2*2*2*2
=16
Thus the answer is 16....
Find the area of the shaded region in the polygon below.
Answer:
35
Step-by-step explanation:
I multiply 3 and 7 that give 35
Answer:
Step-by-step explanation:
The area of a pentagon given the radius is
Area = (5/2)r^2 * sin(72º)
r = 7
Area = (5/2)*7^2 * sin(72)
Area = 122.5 * 0.95106
Area = 116.5
=============
r = 5
Area = (5/2) * 5^2 * sin(72)
Area = 59.4
Area of the shaded area = 116.5 - 59.4
Area of the shaded area = 57.1
what is the explicit formula for the sequence -9,-3,3,9,15
Answer:
B
Step-by-step explanation:
The difference between each term is six and the numbers are increasing so the only one that is in the correct format, which is an = a1 + (n-1)d, is B
please give Brainliest
The explicit formula for the sequence -9,-3,3,9,15 is [tex]a_n[/tex] =-9+(n-1)6.
The correct option is (C).
What is explicit formula?The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence.
Given sequence: -9,-3,3,9,15
As, the given sequence is arithmetic sequence.
So, the difference between two consecutive term is same.
i.e., (-3)-(-9)= -6, 3-(-3)= 6, and so on.
Now, the nth term is = a+(n-1)d
as, a=-9
So, [tex]a_n[/tex]= -9+(n-1)6
= -9+6n-6
= 6n-15
Hence, [tex]a_n[/tex] =-9+(n-1)6.
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Please help! Will mark brainliest, thank, and rate to the best answer!This is easy math!ASAP!
_____________________________________________
This week, 300 tickets were sold to the school play. This is 120 percent of the number of tickets sold last week. How many tickets were sold last week for the school play?
_________ tickets sold
Answer:
250 tickets
Step-by-step explanation:
This week, the tickets sold was 300.
The # of tickets sold this week was 120% of last weeks ticket sales.
To find out the number of tickets sold last week, first convert 120% into a decimal.
120% = 1.2
Now, divide 300 [tickets sold this week] by 1.2.
If you do this, you get 250.
That means 250 tickets were sold last week.
To double check our answer, break down 120% again, but this time, differently.
100% + 20% = 120%
100% = 1
20% = 0.2
Now, multiply 250 by 1.
250 x 1 = 250.
Now multiply 250 by 0.2
250 x 0.2 = 50.
250 + 50 = 300
So, the amount of tickets sold last week is 250. I hope this helps! :)
what is the average rate of change for this quadratic function for the interval from x = -5 to x-= -3
Answer:
[f(-5)-f(-3)]/[-2]
Step-by-step explanation:
I don't know your quadratic but all you need to do evaluate
[f(-5)-f(-3)] divided by [-5-(-3)]
simplifying the denominator:
[f(-5)-f(-3)] divided by -2
So you need to find f(-5), this means replace x with -5
f(-3) means to replace x with -3
After you find those two answers subtract what you got for the pluggin in of -3 from the pluggin in of -5
After that subtraction divide by -2
How to rationalize the denominator of sqrt(a)/sqrt(a)-2
Step-by-step explanation:
√a / (√a - 2)
To rationalize the denominator, you need to multiply the fraction by the conjugate:
√a / (√a - 2) × (√a + 2) / (√a + 2)
√a (√a + 2) / ((√a - 2) (√a + 2))
(a + 2√a) / (a - 4)
Two parallel lines are crossed by a transversal.What is the value of m?
Same side interior angles are supplementary, which means together they add up to 180 degrees.
In order to find the value of angle m, subtract 180 from the supplement.
180 - 78 = 102
The value of m is 102 degrees
Answer:
C.m=102
Step-by-step explanation:
The two angles are alternate interior angle, those angles add up to 180, 180-78=102. The answer is c
Combine like terms.
48y + 21y = ??
Hello There!
We’re just using addition for this.
Image Attached below.
69y is your Answer
PLEASE HELP 10 POINTS
Answer:
7/24
Step-by-step explanation:
7th grade
Boys = 5
Total Students = 5boys + 5 girls = 10 students
Probability of picking a random boy
= 5 boys out of 10 students
= 5/10
8th grade
Boys = 7
Total Students = 7 boys + 5 girls = 12 students
Probability of picking a random boy
= 7 boys out of 12 students
= 7/12
Probability of picking 2 boys
= [tex]\frac{5}{10}[/tex] x [tex]\frac{7}{12}[/tex]
= [tex]\frac{7}{24}[/tex]
write the equation in logarithmic form 8^x=64
Step-by-step explanation:
8^x= 64
8²= 64
In logarithmic form,
log(base 8) 64= 2
The equation 8ˣ=64 in logarithmic form is written as log8(64) = x, where x is the exponent to which the base 8 is raised to obtain 64.
The equation 8ˣ=64 in logarithmic form, you have to understand the relationship between exponentials and logarithms. The logarithmic form of the equation is logb(a) = c, which means b to the power of c equals a. Given that 8 squared (8²) equals 64, you can express 8^x=64 as log8(64) = x, which is the logarithmic form of the given exponential equation.
What is the degree of polynomial 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2
Answer:
5
Step-by-step explanation:
Find the degree of each monomial term of the polynomial. The highest degree is the answer.
deg(3x^4)=4
deg(-4x^3y)=3+1=4
deg(6x^2y^2)=2+2=4
deg(-8x^2y^3)=2+3=5
deg(-7y^4)=4
deg(2)=0
The highest degree there is 5 so that is the degree of the polynomial.
The degree of a polynomial is the highest power of any variable in that polynomial. For the polynomial 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2, because the highest power is 4, the degree of the polynomial is 4.
Explanation:The highest exponent of the variable in a polynomial determines its degree. In the provided polynomial, 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2, the degree of this polynomial is 4 because the highest power of the variable is 4. which can be seen in the terms 3x⁴ and -7y⁴.
It's important to note that while determining the degree of a polynomial, we consider the power (or degree) of individual terms and not their combined power. For example, in the term -4x³y, x has a degree of 3 and y has a degree of 1. The degree of -4x³y will still just be 3 (and not 4) as we only consider the highest degree within that term.
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What is the gcf of 45 and 9?
Answer:
9
Step-by-step explanation:
The factors of 9 are: 1, 3, 9
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 9.
The GCF of 45 and 9 is 9.
To find the greatest common factor we need to prime factorize 9 and 45 and then find the product of the factors common between the two. This can be represented mathematically as follows:
[tex]45 = 3 \times 3 \times 5\\9 = 3 \times 3[/tex]
Thus we can see that two pair of 3 are common factors between 9 and 45. Thus the GCF [tex]= 3 \times 3 = 9[/tex]
Therefore, the GCF of 45 and 9 is 9.
Distance from origin
Answer:
Maybe 13
Step-by-step explanation:
Im not sure from the answer
Answer:
B
Step-by-step explanation:
Use the distance formula, that is
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 3, - 2) and (x₂, y₂ ) = (0, 0)
d = [tex]\sqrt{(0+3)^2+(0+2)^2}[/tex]
= [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]
please can someone answer this quickly. 50 points!!
Answer:
Step-by-step explanation:
Distribute...
6x^2-3x-6x+3
6x^2-9x+3 is the expanded equation
The solution....
(3x-3)=0
(2x-1)=0
3x=3
2x=1
x=1
x=1/2
PLZ HELP 25 POINTS
No Dumb Answers and Please tell me how u got the answer
How could the relationship of the data be classified?
scatter plot with points loosely scattered going down to the right
A positive correlation
A causation
A negative correlation
No correlation
Answer:
Negative Correlation
Explanation:
As the points progress by + x, the general pattern is to decrease in y.
Slope = m = rise/run = x/y
+x/-y = x/-y = -x/y. Negative correlation
When you multiply a function by -1, what is the effect on its graph?
Answer:
The correct answer is C.
Step-by-step explanation:
When you multiply a real function by -1 you only change its sign in all the domain of definition. The positive part becomes negative, and the negative values becomes positive and the zeros are unaltered. So, it is no difficult to see that the multiplication by -1 is equivalent to make a reflection with respect to the x - axis.
What is 7-(a-b)-4+(3a-2b)
Answer:
[tex]\boxed{2a+3-b}[/tex]
Step-by-step explanation:
Distributive property:
↓
A(B+C)=AB+AC
Remove parenthesis first.
7-(a-b)-4+3a-2b
(-a-b)=-a+b
7-a+b-4+3a-2b
Simplify, to find the answer.
7-a+b-4+3a-2b
Group like terms:
↓
-a+3a+b-2b+7-4
Add numbers from left to right.
-a+3a=2a
2a+b-2b+7-4
b-2b=-b
2a-b+7-4
Adding and subtracting numbers from left to right.
7-4=3
2a+3-b
[tex]2a+3-b[/tex], which is our answer.
Answer:
3 +2a -b
Step-by-step explanation:
7-(a-b)-4+(3a-2b)
Distribute the minus
7 -a +b -4 +3a-2b
Combine like terms
7-4 -a +3a +b-2b
3 +2a -b
The function f(x) = (x − 4)(x − 2) is shown. What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all real numbers greater than or equal to −1
Answer:
all real numbers greater than or equal to -1
Step-by-step explanation:
i j took the test trust me
The range of the function f(x) = (x − 4)(x − 2) is all real numbers greater than or equal to −1 .
What is range of the function?The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}
According to the question
The function f(x) = (x − 4)(x − 2)
now, we multiply both braces
f(x) = x² - 6x + 8
Now we will plot the graph to check for lowest point
x f(x)
0 8
-1 15
1 3
2 0
-2 24
As per graph at x = 3 f(x) is minimum = -1
Therefore ,
Range = [-1,∞)
Hence, the range of the function f(x) = (x − 4)(x − 2) is all real numbers greater than or equal to −1 .
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Find all the values of x that make 0.1x + 0.25(102 - x) < 17.10 true.
Answer:
x > 560
Step-by-step explanation:
0.1x + 0.25(102 - x) < 17.10
simplify
0.1x + 25.5 - 0.25x < 17.10
subtract 25.5 from both sides
0.1x + 25.5 - 25.5 - 0.25x < 17.10 - 25.5
0.1x - 0.25x < - 84
- 0.15x < - 84
divide both sides by - 0.15
x < -84/-0.15 = 560
When you divide or multiply by a negative, the sign changes
x > 560
Hope this helps!
Please mark as brainliest.
To solve the inequality 0.1x + 0.25(102 - x) < 17.10, distribute, combine like terms, and isolate x to find that the values for x that make the inequality true are x > 56.
Explanation:To find the values of x that make the inequality 0.1x + 0.25(102 - x) < 17.10 true, we need to solve the inequality. First, we distribute 0.25 to get 0.1x + 25.5 - 0.25x < 17.10. Then, combining like terms gives -0.15x + 25.5 < 17.10. Next, we subtract 25.5 from both sides to get -0.15x < -8.4. Finally, dividing both sides by -0.15 gives x > 56.
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amon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=3(4)^{x}[/tex]
This is a exponential function of the form
[tex]y=a(b)^{x}[/tex]
where
a is the initial value
b is the base
Remember that
The initial value is the value of the function when the value of x is equal to zero (y-intercept of the function)
In this problem
The y-intercept is the point (0,3)
therefore
using a graphing tool
The initial step is plot the point (0,3)
see the attached figure
Jack is driving from his house to the airport. At 9:00 AM, he is 150 miles from the airport. At 10:30 AM, he is 75 miles from the airport. What is Jack’s average driving speed between 9:00 AM and 10:30 AM?
______ miles/hour
Answer:
I b3live it is 50 miles/hour
Step-by-step explanation:
We need to know how many miles he drove from 9:00 to 10:30 so you do 150-75 which is 75. Then, you do 75÷1.5 because 9:00 and 10:30 are an hour and a half apart and then you get 50 mph.
63:1 odds pays out how if you bet $25?
Answer:
$1575
Step-by-step explanation:
If I bet $25 (And I win, of course!), I will win:
If I win $63 per every $1 bet, then:
63/1 = x/25 ⇒ Solving for 'x':
63*25 = $1575
Finally, if you bet $25 you will win $1575!
y=1/4x+7 y=1/2x+5 The y-coordinate of the solution to the system shown is _____.
Answer:
The y-coordinate of the solution to the system shown is 9
Step-by-step explanation:
[tex]y=\frac{1}{4}x+7\\y=\frac{1}{2}x+5[/tex]
We need to solve these system of equations and find value of y
Let eq (1) be[tex]y=\frac{1}{4}x+7[/tex]
and eq(2) be [tex]y=\frac{1}{2}x+5[/tex]
Putting value of y from eq(2) into eq(1)
[tex]y=\frac{1}{2}x+5=\frac{1}{4}x+7\\\\\frac{1}{2}x-\frac{1}{4}x=7-5\\\frac{2x-x}{4}=2\\\frac{x}{4}=2\\x=2*4\\x=8[/tex]
Putting value of x=8 in equation 1 to find value of y
[tex]y = \frac{1}{4}x+7[/tex]
[tex]y = \frac{1}{4}(8)+7[/tex]
[tex]y =2+7[/tex]
[tex]y =9[/tex]
So, The y-coordinate of the solution to the system shown is 9
Which is the graph of x ≤ 2? Graph of a dashed vertical line 2 units to the right of the origin with everything shaded to the right. Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the right. Graph of a dashed vertical line 2 units to the right of the origin with everything shaded to the left. Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the left.
Answer:
Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the left.
Step-by-step explanation:
The solid line shows it is greater than or equal to. Shade to left of vertical line if less than and right of it if greater than.
Answer:
A graph of a solid vertical line 2 units to the right of the origin with everything shaded to the right.
Step-by-step explanation:
The inequality x≤ 2 means that for any coordinate picked to the left of the line x=2 including 2 satisfies the argument for x. The less than or equal to sign means the value of x is 2 or less.
If for example you pick (2,5) or even (-1,150), the x coordinate satisfies the inequality.
which should I choose
If f(x) = 27 +3 and g(x) = x - 7, find (f - g)(x).
Answer:
(f - g)(x) = 37 - x
Step-by-step explanation:
(f - g)(x) = (27 +3) - (x - 7)
= 27 + 3 - x + 7
= 37 - x
Answer:
(f - g)(x) = 26x + 10Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
We have f(x) = 27x + 3 and g(x) = x - 7. Substitute:
(f - g)(x) = (27x + 3) - (x - 7)
(f - g)(x) = 27x + 3 - x - (-7)
(f - g)(x) = 27x + 3 - x + 7 combine like terms
(f - g)(x) = (27x - x) + (3 + 7)
(f - g)(x) = 26x + 10
what is the complete factor of 12Xsquared + 28X
Answer:
12x^2 + 28x = 0
3x^2 + 7x = 0
x(3x+7)=0
x=0 or
3x+7=0
3x= - 7
x= - 7/3
Answer:
4x(3x + 7)
Step-by-step explanation:
Given
12x² + 28x ← factor out 4x from each term
= 4x(3x + 7) ← in factored form
12. A bridge is 1,595 feet long. Each cable holding up the
bridge is 1,983 feet longer than the bridge itself. How
long is each cable?
Answer:
3,578
Step-by-step explanation:
Add the two values together. If the bridge is 1,595 feet long, and if each cable holding that is 1,983 feet longer than the length of the bridge then adding them together is the way to go.
1,595+1,983=3,578
To get the length of each cable, you add the length of the bridge (1,595 feet) to the extra length of each cable (1,983 feet), which results in 3,578 feet.
Explanation:The problem is asking us to work with addition. The bridge is 1,595 feet long and each cable is 1,983 feet longer than the bridge. To find the length of each cable, we add the length of bridge and the extra length of the cable. That is, we add 1,595 feet (length of bridge) to 1,983 feet (extra length of cable).
Add 1,595 and 1,983. The result is the length of each cable, which equals 3,578 feet.Learn more about Addition here:
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