Answer:
4 × 10²
Step-by-step explanation:
16 x 10^5 ÷ 4 x 10³ = 4 × 10²
4 * 10² is the number when multiplied to 4 * 10³ gives 16 * 10⁵
What is division exponent theorem ?To divide exponents (or powers) with the same base, subtract the exponents.
Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.
The given expression is
4 * 10³ multplies with ____ = 16 * 10⁵
We have to solve this ,
Let the number be x
4 * 10³ multplies with __x__ = 16 * 10⁵
x = (16 * 10⁵ )/(4 * 10³)
x= ( 4² * 10⁵ )/(4 * 10³)
Therefore the numerator and denominator has the same base so
[tex]\rm 4^{2-1} \times 10^{5-3}\\\\\\4^{1} \times 10^{2}\\\\\\4\times 10^{2}[/tex]is the number that when multiplied to 4 * 10³ gives 16 * 10⁵
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The degree measure of an angle in a right triangle is x, and sin x = 0.354, which of the following expressions is also equal to 0.354?
Answer:
cos(90° -x), cos(45° -x), cos(x), and cos(x- 45°) that's how mine looks like anyways
Step-by-step explanation:
A restaurant chef has designed a new set of dishes for his menu. His set of dishes contains 10 10 main courses, and he will select a subset of them to place on the menu each night. To ensure variety of main courses for his patrons, he wants to guarantee that a night's menu is neither completely contained in nor completely contains another night's menu. What is the largest number of menus he can plan using his 10 10 main courses subject to this requirement
Answer:
252 menu
Step-by-step explanation:
Total number courses, n = 10
The largest number of menu the chef can plan using his 10 main courses.
There are various combinations of menu obtainable from the available courses :
Ranging from :
nC0 to nCn
The largest number of menu he can plan is the highest output obtainable between :
10C0 to 10C10
10C0 = 1
10C1 = 10
10C2 = 45
10C3 = 120
10C4 = 210
10C5 = 252
10C6 = 210
10C7 = 120
10C8 = 45
10C9 = 10
10C10 = 1
Hence, the largest number of menu he can plan using his 10 main courses is 252
HELP PLEASE DUE IN 4 MINUTES
Alice sells bracelets 10 for $5. How much does 1 bracelet cost?
Answer:
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
READ PROMPT
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.
Divide. Write your answer in simplest form. 9/2 / 1/4
Answer:
18
Step-by-step explanation:
9/2 / 1/4
keep 9/2
Change the operation to multiplication
flip 1/4 into 4 or 4/1
multiply on top and bottom and get 36/2
which 36/2 is 18 and 18 is the answer
Brainliest?
A line has a slope of 2/3 and passes through the point (6,11)
Answer:
y=2/3x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-11=2/3(x-6)
y=2/3x-12/3+11
y=2/3x-4+11
y=2/3x+7
What is 65% of 85, rounded to two decimal places?
Answer:
55.25
Step-by-step explanation:
ABCDE~GHJDF. complete the statements
i figured out a. is angle B but i cant figure out statement 2 pls help!!!!
Answer:
DC
Step-by-step explanation:
If you consider that we're looking at the same shape at two different scales, then we can simply look at which sides correlate with one another.
In the smaller shape, GH is in the same place as AB in the bigger one.
Similarly, the smaller shape has DJ in the same place that the larger one has DC. This means that dC is the answer to question b.
Lin went hiking on five different weekends. The table shows the
elevation changes in feet for each of her five hikes. Fill in the
missing numbers
Initial Elevation
Elevation Change Final Elevation
hike
768
1
-96
672
hike
2
82
20
hike
62
3
- 100
hike
354
4
129
hike
-20
-40
-60
5
Explain what each of the numbers-20, -40, and -60 tells you about
hike 5. What does it mean for the numbers to be negative in this
situation?
Answer:
Hike 1 : 768, -96, 672
Hike 2: -62, 82, 20
Hike 3: 62, -100, -38
Hike 4: 354, -225, 129
Hike 5: -20, -40, -60
The -20 is at what surface level Lin began Hike 5 at. From there, they continued to go in this situation lower by - 40, and arrive at the surface region of -60.
Negative numbers in the present circumstance mean under 0. (Underneath surface region)
Describe the translation from the red figure to the blue figure
Answer:
whattt do I have to do translate what???
Answer:
The blue image is a translation to the red image
Step-by-step explanation:
Given below are descriptions of two lines.
Line 1: Goes through
(
−
5
,
−
9
)
and
(
12
,
42
)
Line 2: Goes through
(
−
9
,
6
)
and
(
−
3
,
4
)
The slope of Line 1 is
m
=
The slope of Line 2 is
m
=
Finally, which of the following is true?
Line 1 is parallel to Line 2.
Line 1 is perpendicular to Line 2
Line 1 is neither parallel nor perpendicular to Line 2
Answer:
Yes
Step-by-step explanation:
Which is equivalent to P(z ≥ 1.4)?
Answer:
1-P(z<1.4)
Step-by-step explanation:
Trust me the answer is 1-P(z<1.4).
BTW the thing between 1 and P is a minus sign
Answer:
B. 1-P(z<1.4)
8%
B. 26%
Step-by-step explanation:
Compare the fractions using the LCM.
3/5 and 1/4
Answer:
20
Step-by-step explanation:
Find the area of the parallelogram. Round to the nearest hundredth if necessary.
6 m
8 m
cm2
Area =
The area of the parallelogram willl be equal to 48 square meters.
What is an area?
The space occupied by any two-dimensional figure in a plane is called the area. The parallelogram occupied by the parallelogram in a two-dimensional plane is called as the area of the parallelogram .
Given that:-
Height = 6 mBase = 8 mThe area will be calculated as:-
Area = Height x Base
Area = 6 x 8
Area = 48 square meters.
Therefore the area of the parallelogram willl be equal to 48 square meters.
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Can someone help me on this one
Answer:
same as last because it is a circle
Step-by-step explanation:
Answer: diameter = 16 area = 201.06
Step-by-step explanation:
Solve the exponential equation.
(½)x = 32
-5
1/5
-1/5
Answer:
-5
Step-by-step explanation:
(1/2)^x=2^-x
32=2^5
2^-x=2^5
-x=5
x=-5
Answer:Answer:
-5
Step-by-step explanation:
(1/2)^x=2^-x
32=2^5
2^-x=2^5
-x=5
x=-5
Step-by-step explanation:
10
Gary, Nancy, and Jamal are trying to write an inequality where all values in the set of numbers below make the inequality true.
{0, 1, 3, 4, 6, 12}
Consider their inequalities.
Gary: 6 > 0.50
Nancy: 30 -t < 18
Jamal: 12
Which student(s) wrote an inequality that is true for all values in the set of numbers? Select your answer from the drop-down list
Only Gary as the
Only Gary
Only Nancy
Only Jamal
Only Gary and
Nancy
Only Gary and
Jamal
Only Nancy and
Jamal
Answer:
Jamal's inequality is correct
Step-by-step explanation:
Given
[tex]Sets:\{0,1,3,4,6,12\}[/tex]
Gary: [tex]6>0.5t[/tex]
Nancy: [tex]30 -t \le 18[/tex]
Jamal: [tex]12 \le t+12[/tex]
Required
Which of the inequalities is/are true
Gary: [tex]6>0.5t[/tex]
[tex]6>0.5t[/tex]
Divide both sides by 0.5
[tex]\frac{6}{0.5} > \frac{0.5t}{0.5}[/tex]
[tex]12 > t[/tex]
Rewrite as:
[tex]t < 12[/tex]
Gary's inequality is false because: [tex]12 = 12[/tex]
Nancy: [tex]30 -t \le 18[/tex]
[tex]30 -t \le 18[/tex]
Collect like terms
[tex]-t \le 18 - 30[/tex]
[tex]-t \le -12[/tex]
Divide both sides by -1
[tex]t \ge 12[/tex]
Nancy's inequality is incorrect because: 0,1,3,4 and 6 are less than 12
Jamal: [tex]12 \le t+12[/tex]
[tex]12 \le t+12[/tex]
[tex]12 - 12 \le t[/tex]
[tex]0 \le t[/tex]
Rewrite as:
[tex]t \ge 0[/tex]
Jamal's inequality is correct because: 0,1,3,4,6 and 12 [tex]\ge 0[/tex]
can someone send me a random receipt you have you gotten recently. it can be anything at all pls
A 4-foot-long sandwich is cut into servings that are each ; foot long. How many servings will there be after the sandwich is cut?
Answer:
$ because there are 4ft cut into one foot each equals 4
Step-by-step explanation:
what are the solution to the system of equations graphed below?
Answer: the answer is A
Step-by-step explanation:
u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)
I will give out 40 points for the four answers but if you just take the points and don't answer properly I will report you
Answer:
A:-3<x<13
B:-3=<x=<13
C:-3=<x<13
D:-3<x=<13
Step-by-step explanation:
Ok, first lets do A
-3 and -13 and the endpoints and the dots are hollow so its not including
therefore the answer is -3<x<13
next, B
same endpoint this time but both dots are filled in so they are included
therefore: -3=<x=<13
(I'm typing on a keyboard!!! i can't do the fancy symbols lol)
C
same endpoints again but -3 is black and 13 is not
so: -3=<x<13
D
I think you have got the hang of it now probaly
-3 is not filled and 13 is
answer is -3<x=<13
Hope this helps :)
Can someone help please
Answer:right scalene
Step-by-step explanation:
(2+5x)9= combine like terms
Answer:
18+45x
Step-by-step explanation:
What is the range of the shoe sizes?
Answer:
The answer will be 9 and the frequency will be 18
Declan's goal is to score 90% on the upcoming science test. If there are 50 questions on the test, how many does he need to answer correctly?
Answer:
45
Step-by-step explanation:
Find the surface area of the square pyramid. A) 80 in2 B) 105 in2 C) 160 in2 D) 210 in2
Answer:
The answer is C) 160 in2
Step-by-step explanation
Easy!
5x5=25
8x5=40x4=160
The surface area of the square pyramid is, A. 80 in².
What is a pyramid?A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces.
The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex.
The given figure is a pyramid having a square base.
The pyramid also has four triangular faces, each having a base of 5 in and a height of 8 in.
Therefore, the surface area of the pyramid is,
= 4[(1/2)×5×8] square inches.
= 80 in².
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please help me out with this
Answer:
1) Since 4(5+x) is 4*5+4*x, and because 4*5+4*x is
Translate the name into a decimal number.
negative fifty-five and five ten–thousandths
Answer:
-55 5/10000
Step-by-step explanation:
We can break each word down. Negative would be the negative sign (-), fifty-five would be 55, and five ten-thousandths would be 5/10000. If we put them together, we would get -55 5/10000, which is the answer.
Answer it. -10 x -2 =
Answer: 20
Step-by-step explanation: it is 20 because 2 negative numbers multiplied by each other will always be positive
5a+12b+30c ; a=3, b=2, and c=1 evaluate the expression for the given value of the variable.
Answer:
69
Step-by-step explanation:
5a+12b+30c
5(3)+12(2)+30(1)
15+24+30
39+30
69
Hoped this helps!