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Complete Question
(7.006 x 10⁴¹) x (5.09 x 10²²)
OA) 3.566 x 10⁴¹
OB) 3.566 x 10⁶²
ОС) 3.566 x 10⁶³
OD)3.566 x 10⁶⁴
Answer:
D. 3.566 × 10⁶⁴
Step-by-step explanation:
We are asked to solve:
(7.006 x 10⁴¹) x (5.09 x 10²²)
When we multiply this together
= (7.006 × 5.09 ) × 10(⁴¹+²²)
= (7.006 × 5.09 ) × 10⁶³
= 35.66054 × 10⁶³
= 3.566054 ×10⁶⁴
Approximately = 3.566 × 10⁶⁴
3. Starting from his house, Reid rode his bike 300 m to the north, then 100 m to the east.
Which of the following vector diagrams shows Reid's path? (Note: The height and width of each
square in the grids is 100 m.)
Answer:
The answer would be South x
Step-by-step explanation:
The reciprocal of 1/6 is
Answer:
6/1 or 6
Step-by-step explanation:
This is the answer because:
1) The reciprocal of a number is the fraction flipped upside down. Basically, when the numerator becomes the denominator and the denominator becomes the numerator.
2) So when you flip the fraction, you will get 6/1 which equals 6
Hope this helps!
Find Y pls
Thank you
Answer:
y=3
y=1
y=0
Step-by-step explanation:
[tex]y=-\frac{1}{2}x+ \frac{5}{2} \\\\y=\frac{5-x}{2} \\\\x=-1\\\\y=\frac{5-(-1)}{2}\\\\y=\frac{5+1}{2}\\\\y=\frac{6}{2}\\\\y=3\\\\x=3\\\\y=\frac{5-3}{2}\\\\y=\frac{2}{2}\\\\y=1\\\\y=\frac{5-5}{2}\\\\y=\frac{0}{2}\\\\y=0[/tex]
Answer:
y=3
y=1
y=0
Step-by-step explanation:
For this problem, we are given the x-value. TO find the y-value, you plug in x and solve.
x=-1
[tex]y=-\frac{1}{2}(-1)+\frac{5}{2}[/tex] [multiply]
[tex]y=\frac{1}{2}+\frac{5}{2}[/tex] [add]
[tex]y=\frac{6}{2}[/tex] [divide]
[tex]y=3[/tex]
---------------------------------------------------------------------------------------------------------------
x=3
[tex]y=-\frac{1}{2}(3)+\frac{5}{2}[/tex] [multiply]
[tex]y=-\frac{3}{2}+\frac{5}{2}[/tex] [add]
[tex]y=\frac{2}{2}[/tex] [divide]
[tex]y=1[/tex]
---------------------------------------------------------------------------------------------------------------
x=5
[tex]y=-\frac{1}{2}(5)+\frac{5}{2}[/tex] [multiply]
[tex]y=-\frac{5}{2}+\frac{5}{2}[/tex] [add]
[tex]y=0[/tex]
Someone help me pliisss
Answer:
The prove of the given identity is shown below:
Step-by-step explanation:
It seems that the question involves the proving of a trigonometric identity.
Therefore, we are going to work independently on each side of the equal sign.
We start by considering [tex]cos(\alpha)=cos(\frac{\alpha}{2} +\frac{\alpha}{2})[/tex] since the angle alpha is the same as the addition of two halves of it. Then we apply the identity for the cosine of an addition of angles: [tex]cos (\frac{\alpha}{2} +\frac{\alpha}{2})=cos(\frac{\alpha}{2})*cos(\frac{\alpha}{2})-sin(\frac{\alpha}{2})*sin(\frac{\alpha}{2})= cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})[/tex]
and now we use the Pythagorean identity to replace the cosine square expression:
[tex]cos^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})[/tex]
in the difference of square trig functions we had arrived to:
[tex]cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})--sin^2(\frac{\alpha}{2})=1-2\,sin^2(\frac{\alpha}{2})[/tex]
We have arrived at the exact same expression the original identity shown on the righthand side of the equal sign, so we have proved the identity.
Nathan is hosting a part for 40 guests. He will count each of the 45 drop in guests as half a guest. How much of each food item should Nathan order?
Fried chicken- 24 pieces
Deli meats- 3 2/3
Lasagna 10 3/4
Answer:
25 guests is 2.5 times more than 10
Step-by-step explanation:
Multiply by 2.5
Chicken = 16 x 2.5 = 40
Lasagna = 7 x 2.5 = 17.5 , round to 18
Deli meat = 1.8 x 2.5 = 4.5, round to 5
Sliced cheese = 15 x 2.5 = 37.5, round to 38
Buns = 1 x 2.5 = 2.5, round to 3
Potato salad = 2 x 2.5 = 5
If DE = 5x, EF = x + 8, and DF = 20, what is EF? Simplify your answer and write it as a proper fraction, mixed number, or integer. Please if you could(or not) type the answer step by step.
Answer:
EF = 10
Step-by-step explanation:
DE + EF = DF
5x + x + 8 = 20
6x = 20 - 8
6x = 12
x = 12/6
x = 2
EF = x + 8 = 2 + 8 = 10
I need two tickets to the movies. Each ticket costs $12. How much do I need to purchase 2 tickets to the movies?
Show Work!
Answer: 24$
multiply $12x$2 and get 24$
Step-by-step explanation: I need two tickets to the movies. Each ticket costs $12. How much do I need to purchase 2 tickets to the movies?
What is the Area of the letter E
Answer:
24 square inches. do the area of the whole rectangle (7x12) and subtract the two little rectangles (5X6) x 2= 60 so 84-60=24
Step-by-step explanation:
y2-8+7
2x - y >4
Yes
No
Levi earned $489.90 at his job when he worked for 23 hours. What was his hourly wage, in dollars per hour? (HELP!!!!)
Enter the addition problem so the fractions have a common denominator. Then find
the sum. 1/10 + 3/5
Answer:
7/10
Step-by-step explanation:
1/10 + 3/5
1/10 + 6/10
7/10
32(2 + 3) + 5 what is the operation
Answer: first add everything in the (parentheses) then multiply that by 32 then add 5 = 165
Step-by-step explanation:
What number is 10th times as much as 17.1
Answer: 170
Step-by-step explanation:
you move the decimal to the right one time.
insert two numbers between 54 and 2 so that the four numbers are in geometric sequence.
Answer:
2,6,18,54
How I got this answer:
Each term after the first is found by multiplying by a fixed, non-zero number called a common ratio.
step by step:
2×3=6
6×3=18
18×3=54
The common ratio is 3.
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression? o
(x2 – 7)(x - 5)
(x2 – 7)(x + 5) •
(x2 – 5)(x – 7)
(x2 + 5)(x – 7)
Answer: C
.................................................................
The expression is a polynomial expression, and the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)
How to factor the expression?The expression is given as:
x³ - 7x² - 5x + 35
Factorize the expression
x²(x - 7) - 5(x - 7)
Factor out x - 7 in the expression
(x² - 5)(x - 7)
The above expression cannot be further factorized.
Hence, the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)
Read more about factorized expression at:
https://brainly.com/question/723406
#SPJ5
118 meters in 2 seconds, how many meters in 11 seconds?
Answer:
It would be 649
Step-by-step explanation:
118 ÷ 2= 59
59 x 11= 649
Answer:
649m
Step-by-step explanation:
[tex]\frac{118m}{2s} =\frac{59m}{s}[/tex]
so that 59m/s we multiply by 11s
[tex]\frac{59m}{s} (11s)=649m[/tex]
Coffee is a leading export from several developing countries. When coffee prices are high, farmers often clear forest to plant more coffee trees. Here are data on prices paid to coffee growers in Indonesia and the rate of deforestation in a national park that lies in a coffee-producing region for five years. Price (cents per pound) Deforestation (percent) 25 0.31 49 1.69 60 1.66 55 1.7 68 3.31 (a) Make a scatterplot. (Do this on paper. Your instructor may ask you to turn this in.) Which is the explanatory variable? What kind of pattern does your plot show? Price is the explanatory variable. The plot shows a negative linear association. Price is the explanatory variable. The plot shows a positive linear association. Price is the explanatory variable. The plot shows no linear association. Deforestation is the explanatory variable. The plot shows a positive linear association.
Answer:
The plot shows a positive linear association. Price is the explanatory variable.
*See attachment for the scatterplot of the data
Step-by-step explanation:
The rate of deforestation is dependent on the price of coffee. Therefore, the explanatory variable is the price of coffee, which affects rate of deforestation.
The response variable is the rate of deforestation. The rate of deforestation is influenced by the price of coffee.
When plotting a scatter plot, the values for the explanatory variable are plotted on the x-axis, while the response variables are plotted on the y-axis.
The data given below is what we would use in plotting the scatterplot shown in the attachment:
Explanatory variable, X, (Price, cents per pound) => Response variable, Y, (deforestation, %)
25 => 0.31
49 = > 1.69
60 => 1.66
55 => 1.7
68 => 3.31
The scatterplot graphed as shown in the attachment shows a positive linear relationship between price of coffee and rate of deforestation. As price increases, rate of deforestation also increases.
The equation 3x − 6 = 2(x + 4) has A. one B. no C. Infinitetly many solution(s).
Answer:
x=14?
Step-by-step explanation:
2(x+4)=2x+8, so 3x-6=2x+8. Subtraxt 2x from each side to get x-6=8. Then add 6 to both sides to get x=14
Answer:
One solution
Step-by-step explanation:
3x-6 = 2(x+4)
3x-6=2x+8
3x-2x-6=8
x-6=8
x=14
True or False. All Rational Numbers are also Integers.
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The circle of real numbers. Natural goes into Whole, Whole goes into Integers, and intergers go into rational.
Russell runs 910 mile in 5 minutes. At this rate, how many miles can he run in one minute?
Russell would run 182 miles for 1 minute.
What value of n makes the equation true?
Answer:
n=10
Step-by-step explanation:
You need n to be 10 because: y^20= (y^10)^2
Answer:
n = 10
Step-by-step explanation:
(2x⁹yⁿ) * (4x²y¹⁰) = 8 x¹¹ y²⁰
use the rules of exponents to simplify the expression.
2¹ x⁹ yⁿ * 4¹ x² y¹⁰
use the commutative property of multiplication
2¹ * 4¹ x⁹ x² yⁿ y¹⁰
add exponents of the same base:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰
back to original equation:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰ = 8 x¹¹ y²⁰
therefore
the value of n = 10
Ben simplified this expression (2x^-4y^7 / 3x^3y^2)^3 Analyze bens work. did he simplify the expression correctly? If not, what was his mistake? Yes, he is correct. No, he needed to add the exponents of powers of the same base in the first step. No, he needed to apply the exponent to all factors in the product in the second step.
-c
No , he needed to apply the exponents to all factors in the product in the second step .
The inequality x2 – 5x + 3 < 3 can be broken down into two related inequalities. The graphs of these related inequalities are shown on the graph to the left. Which set shows the solution to the inequality?
Answer:
A (0,5)
Step-by-step explanation:
Look where both lines intersect.
Answer:
(0, 5)
Step-by-step explanation:
You had $199, but you are spending $3 each day. What algebraic expression models this situation?
Answer:
y=199-3x
Step-by-step explanation:
you ave 199 and 3 pper day so is considered each day and whatever it equals it will be y
Answer:
A 199 -3d
Step-by-step explanation:
Plz choose mine as brainliest
plsss i really need help! How many unique handshakes can be made between 5 people? if you help me ill give u brainliest!
Answer:
10
Step-by-step explanation:
This is called a combination. Imagine you draw a figure, with a number representing each person, as shown below:
1 2 3 4 5
Person 1 can shake person 2, 3, 4, and 5's hands, for a total of 4 handshakes.
Person 2 can shake 3, 4, and 5's hands, for a total of 3 handshakes.
Person 3 can shake 4 and 5's hands, for a total of 2 handshakes.
Person 4 can only shake 5's hand, which is 1 handshake.
Last you add up the handshakes from every person, 4+3+2+1, which is equal to ten unique handshakes.
(-5) ÷ (-7) = _____
-
35
-35
Answer:
0.714
Step-by-step explanation:
Wgat more explanation could I give you. lol
find the area of the shape below
If the probability of getting a particular result in a experiment is 75.3% what is the probability of not getting the result
Answer:
100%-75.3%
Step-by-step explanation:
The total probability of all outcomes is 100%.
If the probability of a particular result is 75.3% then all other possibilities (not the particular event) must equal 100% - 75.3%.
Would 2-3 have the same answer as 3-2? Why or why not?
Answer:
No
Step-by-step explanation:
2-3= -1
3-2 = 1
Shea bought x candy bars for $1.50 each. Write an
algebraic expression for the total amount Shea spent.
What’s the answer?