the equivalent expressions are:
(9.6*6.7)*(10³*10) 64.32*10⁴ 6.432*10⁵And the expression in scientific notation is the last one in the bullet points.
Which are the values equivalent to the given expression?Here we start with the expression:
(9.6*10³)*(6.7*10)
Where both numbers are in scientific notation, notice that we can write that product as:
(9.6*10³)*(6.7*10) = (9.6*6.7)*(10³*10) = 64.32*10⁴
Now, remember that in scientific notation, we only can have a single digit in the left of the decimal point, so we can rewrite:
64.32*10⁴ = 6.432*10⁵
So the equivalent expressions are:
(9.6*6.7)*(10³*10) 64.32*10⁴ 6.432*10⁵And the expression in scientific notation is the last one in the bullet points.
Learn more about scientific notation:
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What is the measure of angle five and what vocabulary word is it?
Answer: The measure of 5 is 90 degrees and it is a right angle
Step-by-step explanation:
Explanation above
What is the expanded form of 5(3m + 7)?
Answer: the answer is 15m + 35
Step-by-step explanation:
Answer:
y= 5(3m+7)
Step-by-step explanation:
plz solve marked brainlist
Answer:
No solution
Step-by-step explanation:
There is one variable. so it can't be two solutions. To the rest, we need to solve the equation.
5-2x=3+x-4-3x
5=3-4
5=-1
Impossible!!!
so no solution.
Hope this helps plz mark brainliest :D
Anyone know dis ill give brainliest asap
Answer:
60
Step-by-step explanation:
solve for the given variable
Answer:
30
Step-by-step explanation:
Well we know the first angle is 90 degrees, which means we have 90 degrees left to work with. Then, the top angle would be 60 degrees, because there is a straight line (which of course has to equal 180), so 180-120 = 60. Now, 90-60=30!
Answer:
k = 30
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
120° is an exterior angle of the triangle, thus
k + 90 = 120 ( subtract 90 from both sides )
k = 30
Look at pic
The function f(x)=223(1.09)^x represents the number of specialty items produced at Iron Man’s old factory x weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period.
During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.
Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.
When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.
Answer:
a. 33
b. So we see that at the start of 3rd week, the new factory begins to exceed old production.
Step-by-step explanation:
(a)w = 0
Old factory: p(x)=223(1.09)^x Plug in 0
p(0)= 223(1.09)^(0)
When a number has an exponent of 0, the number becomes 1
p(0) = 223(1)
p(0) = 223
New factory: w = 0, p(0) or y = 190 (0,190)
223 - 190 = 33
During Week 0, 33 more specialty items were produced at the old factory than at the new factory.
(b) i don't know sorry
(c)
The old production tabulated:
w P(w) New
0 223 190
1 243 220
2 265 252
3 289 290
4 315 337
5 343 380
6 374 440
7 408 505
So we see that at the start of 3rd week, the new factory begins to exceed old production.
i hope this helped people in the future.
During week 0 the old factory produced 33 more items than at the new factory.
The weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory at week 4.
What is a function?A function is defined as a relation between a set of inputs having one output each. A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain or range.
According to the given problem,
Specialty items produced at the old factory at week 0,
Given function = [tex]223(1.09)^{x}[/tex]
When x = 0,
f(x) = [tex]223(1.09)^{0}[/tex]
= 223
Specialty items produced at the new factory during 0 = 190
Old factory exceeded the production by:
⇒ ( 223 - 190 )
= 33 specialty items.
Comparing the growth rates of weekly number of specialty items at each factory,
For week 0,
Old factory = 223
New factory = 190
Growth rate = [tex]\frac{223-190}{190}*100[/tex]
≈ 17%
For week 1,
Old factory = 243
New factory = 220
Growth rate = [tex]\frac{243.07-220}{220}*100[/tex]
≈ 10%
For week 2,
Old factory = 265
New factory = 252
Growth rate = [tex]\frac{264.95-252}{252}*100[/tex]
≈ 5%
For week 3,
Old factory = 289
New factory = 290
Growth rate = [tex]\frac{290 -288.79}{288,79}*100[/tex]
≈ 0.41%
For week 4,
Old factory = 325
New factory = 337
Growth rate = [tex]\frac{337-324.78}{324.78}*100[/tex]
≈ 3%
For week 5,
Old factory = 343
New factory = 380
Growth rate = [tex]\frac{380-343.11}{343.11} *100[/tex]
≈ 13%
For week 6,
Old factory = 374
New factory = 440
Growth rate = [tex]\frac{440-374}{374} *100[/tex]
≈ 18%
For week 7,
Old factory = 408
New factory = 505
Growth rate = [tex]\frac{505-408}{408} *100[/tex]
≈ 23%
At week 3, the production at new factory exceeds the production of the old factory.
For old factory,
⇒ f(x) = [tex]223(1.09)^{x}[/tex]
= [tex]223(1.09)^{3}[/tex]
= 289
For new factory at week 3,
Production = 290 items.
Hence, we can conclude, during week 0 the old factory produced 33 more items than at the new factory and the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory at week 4.
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Express this amount in dozens. (Use decimal form.) 75 cupcakes
Answer:
6.25 dozens for 75 cupcakes
Step-by-step explanation:
(used a calculator... if I'm wrong, I'm sorry TmT
Answer:
6.25 dozens
Step-by-step explanation:
1 dozen = 12
75 / 12 = 25 / 4
25 / 4 = 6 1 /4 = 6.25
Multiple Choice 1. Which type of correlation is suggested by the scatter plot? Positive correlation negative correlation Equal correlation no correlation
Answer:
negativo correlation
Step-by-step explanation:
because is parrallel
Select ALL of the answers that are true about the equation: y= 6x-2
A)The slope is negative.
B)The Y-Intercept is negative.
C)The slope is 6.
D)The Y-Intercept is +2.
Answer:
B and C
:)))))
A shop sells pairs of trainers for £52 each. They make a percentage profit of 30% on each pair. What was the cost of each pair of trainers to the shop?
Answer:
£67.60
Step-by-step explanation:
30% of 52 is 15.6
52 + 15.6 = 67.6
I hope this helps, please mark Brainliest, thank you!
SOMEONE PLEASE HELP ME WITH THIS!!!!!
Answer:
(B) $204
Step-by-step explanation:
202 + 2 = 204
every year it will add 2 dollars so 202 + 2 = 204
Which is a zero of the function f(x)=2x−6?
-6
-3
2
3
Answer:
-3
Step-by-step explanation:
2(-3)-6
6-6
0
Answer:
3
Step-by-step explanation:
f(3) = 2(3)-6
f(3) = 6-6
f(3) = 0
Harry took a loan from the bank.
D represents Harry's remaining debt (in dollars) after t months.
D=200t + 9000
What was the size of Harry's loan?
What is the slope-intercept equation for the line below? (5, 4) (0, 2) 6 +
O A. y=x+2
O B. y=-x+2
O C. y=-x+2 O 2/
D. y=x+2
Answer:
The answer is D y=2/5x + 2
Step-by-step explanation:
I find the the slope first by using the slope formula y2 - y1/x2 - x1
Then, I use the slope-intercept formula to find the y-intercept
4 = 2/5(5) + b
4 = 10/5 + b
4 = 2 + b
4 - 2 = 2 - 2 + b
2 = b
So u get:
y=2/5x + 2
part 2 math please need it done
Answer:
x≤8
Step-by-step explanation:
x÷4≤2
Take the 4*2=8 Since you are dividing on one side, you do the opposite and multiply
Answer:
There were at most 8 fruit snacks in the bag.
Step-by-step explanation:
x÷4≤ 2
Multiply each side by 4
x≤ 8
An arrow is shot vertically upward from a platform 35 ft high at a rate of 166 ft/sec. When will the arrow hit the ground? Ignore the air resistance. Use the formula ℎ = −16 2 + 0 + ℎ0. Round your answer to the nearest tenth.
Answer:
The arrow will hit the ground approximately 10.5 seconds after launch.
Step-by-step explanation:
The arrow experiments a free fall motion, which is a particular form of uniform accelerated motion due to gravity and in which air friction and effects from Earth's rotation can be neglected. Then, the height as a function of time ([tex]h(t)[/tex]), measured in feet, is obtained by the following kinematic formula:
[tex]h(t) = h_{o}+v_{o}\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)
Where:
[tex]h_{o}[/tex] - Initial height of the arrow, measured in feet.
[tex]v_{o}[/tex] - Initial velocity of the arrow, measured in feet per second.
[tex]t[/tex] - Time, measured in seconds.
[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.
If we know that [tex]h(t) = 0\,ft[/tex], [tex]h_{o} = 35\,ft[/tex], [tex]v_{o} = 166\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{m}{s^{2}}[/tex], then the following polynomial is obtained:
[tex]35+166\cdot t -16.087\cdot t^{2}=0[/tex] (2)
Lastly, we find the roots of the given expression by the Quadratic Formula:
[tex]t_{1}\approx 10.526\,s[/tex] and [tex]t_{2} \approx -0.207\,s[/tex]
Time is a positive variable and then we conclude that the only solution that is physically reasonable is approximately 10.526 seconds.
The arrow will hit the ground approximately 10.5 seconds after launch.
The steps below describe the construction of a line AG which is parallel to segment PQ and passes through a point A outside of PQ:
Which statement describes the next step? (5 points)
The width of the compass is adjusted to De, and an arc is drawn from Point E.
The width of the compass is adjusted to DE, and an arc is drawn from Point A.
The width of the compass is adjusted to DE, and an arc is drawn from Point F.
The width of the compass is adjusted to DE, and an arc is drawn from Point D.
Answer:
“The width of the compass is adjusted to DE, and an arc is drawn from point F.”
Answer:
C
Step-by-step explanation:
how many terms are in this expression 5xyz
6. Using the information from question 5, What would the be the total amount you spend on the
$39.00 pair of shoes including the sales tax.
Will give brainlest also don’t waste my points .
Answer:
$42
Step-by-step explanation:
if the total without tax is $39.00, add the sales tax.
39.00 + 2.83 = 41.83
rounded would be $42.00
Reed has made 78 of 90 attempted free
throws last season. How many
consecutive free throws must he make to
bring his free throw percentage to 90%?
Answer: 81 consecutive free throws
Step-by-step explanation: Since 78 of 90 attempted free throws equals to 88.89%, then try adding 3 to 78, (78 + 3) which equals to 81. If you convert 81/90 to a percentage, you get 90%. So your final result or answer is 81 consecutive free throws.
Tip: To convert a fraction to a percentage, divide the denominator by the numerator and you should get a decimal quotient. Lastly, just add a percentage sign.
PLEASE HELP ME IF YOU HAVE THE RIGHT ANSWER ILL GIVE BRAINLIEST AND ILL GIVE %) POINTS TOTAL I PROMISE JUST PLEASE HELPPP!!!
Simplify 5j + 3 + 8m – 2j + 6m - 1
Answer:
3j + 14m + 2
Step-by-step explanation:
:)))))))))))))))
PLZ HELP ASAP
What is the value of the 11th term in the following geometric sequence?
-5, -10, -20, -40
-100
-19,531,250
-180
-5,120
Answer:
No thanks give me my points back ;)
Step-by-step explanation:
The student scored 15 points out of 25. What was their percentage (grade)?
Answer:
60%
Step-by-step explanation:
Solving Logarithmic Equations
Answer:
optio 1
Step-by-step explanation:
i am copadent about that
If y varies directly with x and y=8 when x=12, what will be the value of y when x=18
Answer:
y will equal 12 as 18 is 1.5x 12, 12 is 1.5x 8
Step-by-step explanation:
PLEASEEEEE HELP!!!! 15 POINTS AND DONT PUT SOMETHING RANDOM ITS DUE SOON!!
Answer:
Step-by-step explanation:
45(123)
the three angles shown form a right angle. what is the value of the third angle
Answer:
wheres it shown ?
Step-by-step explanation:
Find the next two numbers in the pattern
Answer:
They are -6 and positive 3
Ed bought 20 cupcakes 30% chocolate and the rest vanilla how many of each cupcake did he buy?
Answer:
he bought 6 chocolate and 14 vanilla !
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
30% of 20 is 6, but since we are trying to find the number of vanilla cupcakes we take the total original number (which was 20), and subtract 6 (the number of chocolate cupcakes). ANSWER- 14
Jack left a tip of $5.75 for his waiter. If this represents 20% of his meal, what was the cost, in dollars, of Jack’s meal without the tip?
Answer:
Step-by-step explanation:
This is a commission problem. Here is the formula:
P x R
= 5.75 x 0.20
= $1.15
Jack's tip was $1.15. :D
Key: P = Original Price R = Commission Rate