Popular Problems Algebra Evaluate Using Scientific Notation (7.1*10^-5)(6.7*10^-6)
(
7.1
⋅
10
−
5
)
(
6.7
⋅
10
−
6
)
Group coefficients together and exponents together to multiply numbers in scientific notation.
(
7.1
⋅
6.7
)
(
10
−
5
⋅
10
−
6
)
Multiply
7.1
by
6.7
.
47.57
(
10
−
5
⋅
10
−
6
)
Use the power rule
a
m
a
n
=
a
m
+
n
to combine exponents.
47.57
⋅
10
−
5
−
6
Subtract
6
from
−
5
.
47.57
⋅
10
−
11
Write
47.57
⋅
10
−
11
in proper scientific notation.
4.757
⋅
10
−
10
Answer:
4026
Step-by-step explanation:
Remember PEMDAS:
P - parenthesis
E - exponents
MD - Multiplication and Division (Left to Right)
AS - Addition and Subtraction (Left to Right)
------------------------
Start off by doing the parenthesis (7.1 x 10-5)
We must perform multiplication first so 7.1 x 10 is 71. From there you subtract 5 so 71 - 5 is 66!
So far we have: 66(6.7 x 10-6)
But we aren't done yet!
You must solve (6.7 x 10-6)
Same goes here, multiplication is done first so we would do 6.7 x 10 which is 67. Next, 67-6 which is 61.
We now have (66)(61)
When there is no sign of multiplication or division and the numbers are next to each other like this, you perform multiplication. So, 66x61 is 4026.
Thus, the answer is 4026!
P.S please mark brainiest, this took time <3
ayo can yall help me plzzz
Answer:
I think it's either Wednesday or Sunday.
Step-by-step explanation:
Answer: the answer is d Wednesday.
Step-by-step explanation:
hope this helped ya bro! have a good day! :)
Can someone please help me! it’s due in like 15minutes and I have others assignments to do that are also due in 15 minutes!
Answer:
1. 71.25 ft^2
2. $2764.80
3. 84 in^2
4. 6 inches
Step-by-step explanation:
1. Area of a triangle is base x height x 1/2
2. Multiply the area by the amount: A = 768 so 768 x 3.60 = total cost
3. Area of a trapezoid is (base x height) x height / 2
4. Area of triangle is base x height x 1/2 so if you multiply the area by 2 and divide by 18, you can find the base, which is 6
Hope this helped! :)
1. 71.25 ft
2. $2,764.8
3. 84 in
4. 6 in
I can really use this help please
Answer:
1. 60 2. 120
Step-by-step explanation:
plz give brailiest
Answer:
1. 60
2. 120
Step-by-step explanation:
the opposite angle is 60
180 - 60 = 120
A sign next to the science lab says a person must be 54 inches tall to go in. At his last doctor's appointment, Hever was 4 feet 4 inches tall. He has grown 3 inches since then.
Answer:
Therefore he can go inside because 55 inches is taller than 54 inches.
Step-by-step explanation:
1 feet = 12 inches
His height is 4 feet and 4 inches
4 feet and 4 inches means
= 4*12+ 4
Converting feet into inches
=48+4= 52 inches
His height was 52 inches.
He has grown 3 inches
His new height is 52+3 = 55 inches
Therefore he can go inside because 55 inches is taller than 54 inches.
the width of a rectangle is 2 inches less than its length, and the area is 35 sq inches. what are the length and width of the rectangle?
Answer:
5 and 7
Step-by-step explanation:
Shape A,Shape B,Shape C and Shape D are nets for pyramids or prisms. Drag the name of each net to the correct container
Answer:
shape a and shape d are pyramids
b and c are prisms
please answer correctly
a2b3 =
(ab)5
(ab)6
aabbb
aa + bbb
Answer:
aabbb
Step-by-step explanation:
because a x 2 aa b x 3 bbb so aabbb
Answer:
C. aabbbStep-by-step explanation:
a²b³ = a·a·b·b·bCorrect choice is C
Complete the sentence.
1. If 5/8 = m/n, then 10/16 =
2. If 7/p = 3/q, then 7+p/p =
3. If 9+m/m = 9/3, then 9/m =
PLS HELP. I NEED THIS DONE ASAP. ITS DUE TODAY :(
Answer:
1. 2m/2n
2. 3/q + 1
3. 9/3 - 1
Step-by-step explanation:
i think this is the ans
Si el total de un precio de un viaje de visita es de 3460 soles y van 13 personas ¿CUANTO CUESTA CADA PASAJE?
Answer:
266.15
Step-by-step explanation:
3460 dividido por 13 personas = 266.15
Which of the following is a polynomial?
O A. x^2 - 1
O B. x^-y+ 2
O c. (x^6 - 2)/(x^4 + 3)
O D. x^4+ x^4 + 16
Answer:
I think it's A...
Step-by-step explanation:
It's been a little while since I've done polynomials, binomials, monomials, etc., so I think I'm right, but sorry if I'm wrong...
Can anyone help me?
Answer:
Step-by-step explanation:
y= -833.3+42,000
29,500
Sally found 33 fossils. She found twice as many plant fossils as animal fossils. How many of each type of fossil did she find
Answer:
a = 11
b = 33
Step-by-step explanation:
Given :
Total fossil found = 33
Let :
Number of plant fossil = b
Number of animal fossil = a
a + b = 33
Plant fossil = 2 times number of animal fossil
b = 2a
Put b = 2a
a + 2a = 33
3a = 33
Divide both sides by 3
3a/ 3 = 33/3
a = 11
a + b = 33
11 + b = 33
b = 33 - 11
b = 22
pls help me, im adding integers 40 points!!!!!!!!!
Use a number line to find each sum.
2 + 4
6 + (-7)
-6 + 6
Find each sum
-2 + (-7)
9 + (-9)
-12 + (-9)
91 + 28
-51 + (-9)
-8 + 72
Then a question.
Temperature At 7:30 A.M. on January 22,1943, the temperature was -4 °F in Spearfish, South Dakota. At 7:32 A.M. the temperature had risen 49 degrees. What was the temperature at 7:32 A.M.?
Answer:
1. 6
2. -1
3. 0
4. -9
5. 0
6. -21
7. 119
8. -60
9. 64
10. 45 degrees
Step-by-step explanation:
NEED HELP
On a unit test in a statistics class, the teacher determines that the mean test grade was 77.5 with a standard deviation of 5.2. One student’s test grade was 91. What is the z-score for the student’s test?
–5.20
–2.60
2.60
5.20
Answer:
2.60
Step-by-step explanation:
z-score is the difference between the score and mean, divided by the standard deviation.
[tex]z = \frac{x - \mu}{\sigma}[/tex]
[tex]z = \frac{91-77.5}{5.2} = \frac{13.5}{5.2} \approx 2.596[/tex]
So 2.6 is an answer close enough.
Please help me on this question I really need help. :,)
Answer:
a. (7, 27) Polly was incorrect.
b. (3, 1) Polly was correct.
Step-by-step explanation:
a.
y = 4x - 1
2x - y = -13
We can solve this by substitution. Our first equation gives us y. Plug that into our second equation for each instance of y.
2x - y = -13
2x - (4x - 1) = -13
First distribute the negative sign across the parentheses.
2x - 4x + 1 = -13
Combine like terms.
-2x + 1 = -13
-2x = -14
Divide both sides by -2.
x = 7
Now that we know x, plug its value into one of our original equations.
y = 4x - 1
y = 4(7) - 1
Solve.
y = 28 - 1
y = 27
Our solution is (7, 27).
Let's check our answer by plugging both values into one of our original equations.
2x - y = -13
2(7) - 27 = -13
Solve.
14 - 27 = -13
-13 = -13
Your solution is correct.
Polly's solution was (-2, -9), which is incorrect.
b.
3x + 6y = 15
-2x + 3y = -3
Let's solve this by elimination. To solve by elimination means to eliminate a variable from the equation.
We have 3x & -2x and 6y & 3y. Notice that 6 and 3 can be simplified easily. To eliminate y, we want to multiply each factor of the second equation by -2.
-2x + 3y = -3
-2(-2x + 3y = -3)
4x - 6y = 6
Write the equations together.
3x + 6y = 15
4x - 6y = 6
Now we can see that the y variable will cancel out.
Apply the elimination method.
3x + 6y = 15
4x - 6y = 6
________
7x = 21
Divide both sides by 7.
x = 3
Now that we know x, plug its value into one of our original equations.
3x + 6y = 15
3(3) + 6y = 15
Solve.
9 + 6y = 15
6y = 15 - 9
6y = 6
y = 1
Our solution is (3, 1).
Let's check our answer by plugging both values into one of our original equations.
-2x + 3y = -3
-2(3) + 3(1) = -3
Solve.
-6 + 3 = -3
-3 = -3
Your solution is correct.
Polly's solution was (3, 1), so she was correct.
Hope this helps!
HELP ASAP (please no link or reported) will give brainleast!!!
Answer: SA=33ft^2
have an amazing day <3
PLZZ HELP Me ASAP!!!!
Answer:
see explanation
Step-by-step explanation:
(a)
The area is calculated as length × breadth
area = 2x(2x + 6) ← distribute
= 4x² + 12x
(b)
area = x(x + 4) ← distribute
= x² + 4x
(c)
shaded area = 4x² + 12x - (x² + 4x)
= 4x² + 12x - x² - 4x ← collect like terms
= 3x² + 8x
- You pick a card at random. 1 2 3 4 5 6 7 8 D) What is P(even)? )) Write your answer as a fraction or whole number
Answer:
4/8 or reduced 1/2
Step-by-step explanation:
It's 4/8 or reduced as 1/2 because there are 4 even numbers 2, 4, 6, 8
plz help and yes i am lazy but helpppp
The dimensions of this screen are 10 inches by 10 inches. What is the screen size? Round your answers to the nearest whole number. Remember, the screen size is the same as the hypotenuse of the triangle whose legs are the width and height of the screen.
Answer:
14.14inches
Step-by-step explanation:
Given data
Length L= 10 inches
Width W= 10 inches
The size of the screen is described by the lenght of the diagonal
Applying the Pythagoras theorem we have
D^2= L^2+ W^2
D^2= 10^2+ 10^2
D^2= 100+100
D^2= 200
D= √200
D= 14.14 inches
Hence the size of the screen is 14.14inches
Answer:
A. 14
Step-by-step explanation:
The table below shows the cost of different numbers of goldfish at a pet store.
COST OF GOLDFISH
Number of Goldfish Cost
5 $1.50
10 $3.00
15 $4.50
20 $6.00
The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function?
A. The cost increases $0.30\$ 0.30$0.30 each time 111 goldfish is added.
B. The cost increases $1.50\$ 1.50$1.50 each time 111 goldfish is added.
C. The cost increases $3.00\$ 3.00$3.00 each time 555 goldfish are added.
D. The cost increases $6.00\$ 6.00$6.00 each time 555 goldfish are added.
Answer:
A (I think because i cant tell what the answers are saying)
Step-by-step explanation:
1.5/5= 0.3
3/10=0.3
4.5/15=0.3
6/20=0.3
Next time take a screenshot because i can not really see what the answers are supposed to be. But A is the only one that should be correct
Im very confused and need help
Answer:
B $572
Step-by-step explanation:
$75+$150+$262+$85=$572
10 POINTS!!! NO LINKS!! I WILL REPORT BUT PLEASE SOMEONE HELP ME The table below shows the number of students in four schools with grade
point averages in various ranges. The grade point averages of the students in
which school represent a U-shaped distribution?
Answer:
School C.
Step-by-step explanation:
The answer is school C. A u-shaped distribution would have to have values that when plotted, make a "u". In this case, the first and last values have to be the highest, the second and fourth values have to be in the "middle" and the third value has to be at the bottom. This is the case for school C.
Answer:
B. School C
Step-by-step explanation:
Having a U-shaped distribution means that the school would have the least number in the middle value/values and the most at the ends.
School C exhibits this trend because it has the most on the outermost ranges (82 for between 1.5 and 2, and 78 for between 3.5 and 4.0), as well as the least number for the middle value (26 for 2.5-3.0
The numbers inbetween also follow the trend, as you can see if you read down the column of school C, the numbers decrease as you get to 2.5-3.0 and increase again to 4.0
Hope this helped!
Find the Area. (number only)
in
(45 points)
(1) It takes 4 eggs for 5 waffles. How many more waffles can 6 eggs make?
(2) A 1-lb. mix will make 32 biscuits. How many ounces of mix are needed for 24 biscuits?
I NEED THIS ASAP!
Answer:
1). 6 eggs = 7.5 waffles 2). 8 ounces for 24 biscuits
Step-by-step explanation:
solve for x
[tex]\frac{7}{x+4}[/tex] = 4
Give your answer as an improper fraction in its simplest form.
Answer:
-9/4 = x
Step-by-step explanation:
4 is the same as 4/1
this problem is a proportion which can be solved by cross-multiplying:
7 = 4(x+4)
7 = 4x + 16
-9 = 4x
-9/4 = x
Two wires are attached 6 feet up a tree and 3 feet from the base of the tree. About how much TOTAL wire was used?
Answer:
9 cm²
Step-by-step explanation:
Two wires are attached 6 feet up a tree and 3 feet from the base of the tree. About how much TOTAL wire was used?
We solve the above question, using the Area of a Triangle
Area = 1/2 × Base × Height
Area = 1/2 × 3 × 6
Area = 9 cm²
Therefore, the total wore that was used was 9cm² of wire
What are the factors of the product represented below?
A. (3x + 1) (2x + 2)
B. (3x^3 + 2)(3x^3 + 2)
C. (3x + 1x)(3x + 2)
D. (3x + 2)(3x + 1)
Answer:
D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Find the value of each variable.
Simplify your answers as much as possible.
If necessary, you may learn what the markings on a figure indicate.
Answer:
Step-by-step explanation:
Refer to the given figure. If QR=3x+4, KL=15, JL=2x+10, find the measure of JL. A. 2 B. 6 C. 18 D. 22
Answer:
Option C
Step-by-step explanation:
From the given figure, it is clear that the two triangles are similar to each other with QR = KL
As we know
QR = 3x+4 and KL = 15, we can derive the value of X
3X+4 = 15
X = 11/3
Jl = 2X + 10 = 2*11/3 +10 = 22 +30/3 = 52/3 = 18
hence, option C is correct