Answer:
-1.24*10^4
Step-by-step explanation:
Firstly observe the Digit term of the given operation under scientific notation. and now we are left with the 10th exponents which involves the basics of 10^a - 10^b = 10^a/b and so according to this rule...we have 10^2/10^4 which results in 10^-2
and thus we have −12460 = -1.24*10^4
What are the values of m and n
Answer:
m = 20°, n = 45°Step-by-step explanation:
Both of the triangles are isosceles as marked on the diagram.
The right triangle has missing angles of:
n = 90°/2 = 45°The missing angles of the bigger triangle:
m + n = 1/2(180° - 50°)m + 45° = 65°m = 20°There are four consecutive integers that add up to 22 what is the greatest integer
Answer:
7
Step-by-step explanation:
We can use the equation:
x + (x + 1) + (x + 2) + (x + 3) = 22
Combine like terms
4x + 6 = 22
Subtract 6 from both sides
4x = 16
Isolate x
x = 4
Plug in x
4 + (4 + 1) + (4 + 2) + (4 + 3) = 22
Solve
4 + 5 + 6 + 7 = 22
7 is the greatest integer
can someone help me solve this question? -6 - (-10) + (-2)
Answer:
2
Step-by-step explanation:
note - (- ) = + and + (- ) = -
- 6 - (- 10) + (- 2)
= - 6 + 10 - 2
= 4 - 2
= 2
Answer:
2
Explanation:
- 6 + 10+ (- 2)
= 4+(-2)
=2
-16=m/5 -18 prove m=10
Answer:
[tex]-16 = \frac{m}{5} - 18\\2 = \frac{m}{5}\\10 = m\\[/tex]
Step-by-step explanation:
Given the equation [tex]-16 = \frac{m}{5} - 18[/tex] isolate [tex]m[/tex]
1. The first is sum both sides by 18
[tex]-16 + 18= \frac{m}{5} - 18 + 18\\2 = \frac{m}{5}[/tex]
2. The second is multiply both sides by [tex]5[/tex]
[tex]5 \cdot 2 =5 \cdot \frac{m}{5}\\10 = m[/tex]
So of this way you can proof that [tex]m = 10[/tex]
50% of 25% is the number. What is the number?
Answer:
1/8
Step-by-step explanation:
50/100 * 25/100
1/2 * 1/4 = 1/8
In ΔNOP, p = 7.5 inches, ∠O=8° and ∠P=25°. Find the length of n, to the nearest 10th of an inch.
Answer: 10.17898 so
About 10.2
Answer: 10.6
Step-by-step explanation:
Help me I don’t understand please explain the answer to me
Answer:
a
Step-by-step explanation:
r and t are same- side exterior angles and sum to 180 , so
t + r = 180 , that is
t + 91 = 180 ( subtract 91 from both sides )
t = 89
t and u are vertically opposite angles and are congruent , so
u = t = 91
Then
t + u = 89 + 89 = 178 → a
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay?
Answer:
105
Step-by-step explanation:
1,000 divided by 3.5% is 35
35 x 3 is 105
Since you are just asking for just the interest and not the total the answer is 105
The interest that Amy should pay is $105.
Given that,
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan.Based on the above information, the calculation is as follows:
[tex]= 1000 \times 3.5\% \times 3[/tex]
= 105
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please help
Jay buys a certain brand of cereal that costs $15 per box. Luke changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand, y = 10x Part A: How many more dollars is the price of a box of Jay's original brand of cereal than the price of a box of the super-saving brand? Show your work. (5 points) Part B: How much money does Jay save each month with the change in cereal brand if he buys 8 cereal boxes each month? Show your work. (5 points)
A.
Jay's original brand is $5 more than the price of a box of the super-saving brand.
Since Jay's original brand costs $15 per box and the price of Luke's super-saving brand is y = 10x where x = number of boxes. For one box, x = 1.
So, y = 10x
y = 10 × 1
y = $10
So, Jay's brand costs $15 per box and Luke brand cost $10 per box.
So, the difference in price is per box is $15 - 10$ = $5
So, Jay's original brand is $5 more than the price of a box of the super-saving brand.
B.
Jay saves $40 per month with the change in cereal brand if he buys 8 cereal boxes each month
Since the difference in price for each box bought is $5. Jay saves $5 for every super-saving cereal brand he buys.
So, if he buys 8 cereal boxes per month, he saves $5 per box × 8 boxes per month = $40 per month.
So, Jay saves $40 per month with the change in cereal brand if he buys 8 cereal boxes each month
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Find the unit rate.
12 laps in 30minutes
Answer:
0.4/1
Step-by-step explanation:
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 30
Please help! If it’s true then it’s 10 points. If it’s false then it’s 15. Don’t add up the numbers. I really appreciate it :)
1) True
2) True
3) False
4) False
5) False
6) True
7) True
8) False
The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter
Answer:
46 1/2 feet
Step-by-step explanation:
Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.
The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
The length of the fence is [tex]12\frac{1}{2}[/tex] feet
[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2
the width of the fence is [tex]10\frac{3}{4}[/tex]
[tex]10\frac{3}{4}[/tex] is changed to improper fraction 43/4
Now we know that perimeter of rectangle =2(Length+width)
=2(25/2+43/4)
LCM of 2 and 4 is 4
=2(50+43)/4
=93/2
=46.5
Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.
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A corporation earned its profit of 2.5x10^4 for 1x10^3 days in a row. What was the corporation's total profit during this time?
Answer:
$2.6 x 10^4
Step-by-step explanation:
Please help me with this I don't get it
Zidan is using the Rational Root Theorem to help find the roots of a 5th degree polynomial. He has discovered five roots and still has 4 to test. What is his next best step?
1-He should test the remaining 4 roots.
2-He should use the Factor Theorem to find the remaining polynomial roots.
3-He needs to pick one of the roots and use the quadratic formula to test it.
4-He can stop testing because he has found all the roots.
Answer:
He can stop testing because he has found all the roots.
Step-by-step explanation:
I took the test and it said I got it right. Hope this helps!
what is the value of x?
Answer:
x=80
Step-by-step explanation:
70 + 30+x =180 (sum of angles in a triangle =180)
x=80
what is the x intercept?
Answerrrrrrrrrr:
- 7/6
can anyone help me out with this?
Given :
Evaluate the equation.
2x – 4(x – 2y) + 6y = ?When x = 5 and y = 2 then,
2x – 4(x – 2y) + 6y
= 2(5) – 4[(5) – 2(2)] + 6(2)
= 10 – 4(5 – 4) + 12
= 10 – 4*1 + 12
= 10 – 4 + 12
= 22 – 4
= 18
Please help me!!! It would really help
Answer:
D'(25, 0)
Step-by-step explanation:
Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.
(x, y) ⇒ (5x, 5y)
D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)
Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)
The result of the log function [tex]log_a (m * n ^ 2)[/tex] is 60
According to the law of logarithm if [tex]log_ab=y[/tex] then [tex]b=a^y[/tex]
Given the following expressions
[tex]log_am=10\\log_an=25[/tex]
This can be expressed as
[tex]m =a^{10} \ and \ n = a^{25}[/tex]
Substitute the value of m and n into the expression [tex]log_a (m * n ^ 2)[/tex] to have:
[tex]log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60[/tex]
This shows that the result of the log function [tex]log_a (m * n ^ 2)[/tex] is 60
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A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?
Answer:
y - 6 = 1/4(x - 4).
Step-by-step explanation:
The slope m = (7-6)/(8-4) = 1/4
y - y1 = m(x - x1)
Using the point (4, 6)
y - 6 = 1/4(x - 4) (answer)
The equation of line passes through the points (4, 6) and (8, 7) will be;
⇒ y = 1/4x + 5
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (4, 6) and (8, 7).
Now,
Since, The equation of line passes through the points (4, 6) and (8, 7) .
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (7 - 6) / (8 - 4)
m = 1 / 4
m = 1/4
Thus, The equation of line with slope 1/4 is,
⇒ y - 6 = 1/4 (x - 4)
⇒ 4 (y - 6) = x - 4
⇒ 4y - 24 = x - 4
⇒ 4y = x - 4 + 24
⇒ 4y = x + 20
⇒ y = 1/4x + 5
Therefore, The equation of line passes through the points (4, 6) and
(8, 7) will be;
⇒ y = 1/4x + 5
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the solution a+b>-9 is a >-15. What is the value of b
PLEASEEEEE HELP PLEASEEE
Answer:
b>6
Step-by-step explanation:
solve for x, find the measure of all angles hurryyyyyy!
Answer:
Step-by-step explanation:
Well the first fact is that you can solve H and J with 1 equation. Two remote (unconnected to) one of the exterior angles when summed, equals the unconnected exterior angle.
H + j are not connected to the exterior angle at I.
Put more directly
2x + 3x = 150 Combine
5x = 150 Divide by 5
x = 150/5
x = 30
So H = 2 * 30 = 60
and J = 3*30 = 90
All triangles have interior angles that add up to 180
We have already accounted for 150.
JIH + 150 = 180 Subtract 150
jIH = 180 - 150 = 30
Summary
x = 30
JIH = 30
H = 60
J = 90
Mary bought 176 flowers for 4 vases. How many flowers are needed for 7 vases?
She planned to have 44 flowers per vase (176/4). 7 vases would mean 308 flowers.
at 6 am the temperature was -8ºC. In the afternoon, the temperature was +3ºC. What was the change of temperature during the day?
Answer:
I think -5
Step-by-step explanation:
-8-(3)= -5
if they are the same sings (+or-) you keep and add and different signs subtract, you keep the sign of the bigger number then you'll be exact.
Hope it helps
Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy
Answer:
4.25+9.75+0.5x≤18
Step-by-step explanation:
4.25+9.75+0.5x≤18
14+0.5x≤18
0.5x≤4
x≤8
She can buy at most 8 packs of crackers.
Hope this helps :)
Fiona can buy maximum 8 number of packages of crackers.
What is subtraction?Subtraction is mathematic operation. Which is used to remove terms or objects in expression.
Given that Fiona has $18 to spend and she spent $4.25 .
Now, she has the money $18 - $4.25 = $ 13.75
And she needs to save $9.75 from rest of the amount.
Therefore, $13.75 - $ 9.75 = $4
Now she has $4 to spend and one packet of crackers cost $0.50.
So $4 / $0.50 = 8 number of packages Fiona can buy with the rest of money.
Therefore, Fiona can buy maximum 8 number of packages of crackers.
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Please explain step-by-step! Thanks!
Random answers will be reported
Step-by-step explanation:
what is your questions?????One-fourth of a number increased by thirteen is less than two.
Answer: x < -44
Step-by-step explanation:
alright my fellow dude gamer, i want you to know that "a number" is basically just x
so lets do this
[tex]\frac{1}{4}x + 13 < 2[/tex]
ok now we are going to solve for x, no?
[tex]\frac{1}{4}x < -11[/tex]
i just subtracted 13 from both sides
now we divide -11 by 1/4
[tex]x < -44[/tex]
MAGIC! ABSOLUTELY FANTASTIC! OH MY GOODNESS AHHHHHHH
Which is NOT a function?
A. y = x + 3^2
B. x + y = 3^2
C. x + 3 = y^2
D. y = x^2 - 3
Answer:
All are functions
Step-by-step explanation:
A. y = x + 9 A graph of a line. There are no x-values that are the same on the graph. The graph passes the vertical line test.
B. x + y = 9
y = -x + 9 A graph of a line. There are no x values that are the same number on the graph. The graph passes the vertical line test
C. x + 3 = y²
[tex]\sqrt{x + 3} = y[/tex] The graph passes the vertical line test. On the graph, there are no x-values that are the same number.
D. y = x² - 3 The graph is a parabola. The graph passes the vertical line test (there are no x- values are the same number on the graph).
Find: (4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y)
Place the correct coefficients in the difference.
x2y3 +
xy2 +
y
Answer:
final answer: 58xy
Step-by-step explanation:
24xy + 4xy - 2y + 42xy - 12xy + 2y
(24xy + 4xy + 42xy - 2xy) + ( - 2y + 2y)
(24 + 4 + 42 - 12)x xy + ( - 2 + 2)xy
58xy + ( - 2 + 2)xy
58xy + 0y
58xy
Answer:
1st one is 11
2nd one is -4
3rd one is 0
Step-by-step explanation:
no need
you can trust me :)