Answer:
9
Step-by-step explanation:
We see that we have 9 zeros.
We use the base 10 system to help us solve.
When we multiply anything by 10, we simply move the decimal place to the right.
Since we have 9 zeros, we move the decimal place 9 places to the right. Therefore, to get 1,000,000,000, we multiply 1 by 10⁹
33 points!! The line contains the point (4,-2) and is perpendicular to 4x+3y=-6 The equation of the line is:
Answer:
y = 3/4 x - 5
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.
4x + 3y = -6
Solve for y.
3y = -4x - 6
y = -4/3 x - 2
The slope of the original line is -4/3.
The slope of the perpendicular is 3/4.
Now we need to find the equation of line with slope 3/4 that contains point (4, -2).
y = mx + b
-2 = (3/4)(4) + b
-2 = 3 + b
-5 = b
b = -5
The equation is
y = 3/4 x - 5
2. Eleanor Raymond works full time while her husband, Peter, attends college and works part
time. Their income for the last two weeks consisted of an August 17 paycheck of Eleanor's for
$380.48, $16.50 for a birthday present Peter returned on August 19, Peter's paycheck on
August 21 for $120.00, Peter's sale of some of his college textbooks on August 23 for $13.65,
and a check from Peter's father for $100.00 that arrived August 25. Record and total Eleanor
and Peter's income for this two-week period.
Answer:
Eleanor and Peter's total income
= $597.63
Step-by-step explanation:
Eleanor's Income:
Paycheck = $380.48
Eleanor's Expenses:
Birthday gift= $16.50
Peter's income
Paycheck = $120
Sales of his college textbook = $13.65
Check from Peter's father= $100
Peter's total income =Paycheck + Sales of his college textbook + Check from Peter's father
= $120 + $13.65 + $100
= $233.65
Eleanor and Peter's total income
= Eleanor's Income + Peter's total income - Eleanor's Expenses
= $233.65 + $380.48 - $16.50
= $597.63
Eleanor and Peter's total income
= $597.63
In a two-tailed hypothesis test the test statistic is determined to be Z = -2.5. The p-value for this test is:_______
a. 0.0062
b. -1.25
c. 0.4938
d. 0.025
e. 0.0124
Answer:
e. 0.0124
Step-by-step explanation:
Given that:
In a two-tailed hypothesis test, the test statistic is determined to be Z = -2.5
The p-value for this test can be determined from the Z tables at Z = -2.5
Using the EXCEL FUNCTION ( = NORMDIST (-2.5) )
Since the hypothesis is two-tailed, then;
The p-value = 2 × (= NORMDIST (-2.5))
The p-value = 2 × 0.00620
The p-value = 0.0124
The EXCEL FUNCTION computation can be seen in the attached file below.
f(x) = 2x+4
g(x) = x - 7
h(x)=9-x
Find
f(g(x))
Greetings from Brasil...
We have here a composite function.... Where there is X in function F(X), we will replace by G(X)
F(X) = 2X + 4
G(X) = X - 7
H(X) = 9 - X
F(X) = 2X + 4
F(G(X)) = 2·(GX) + 4
F(G(X)) = 2·(X - 7) + 4
F(G(X)) = 2X - 14 + 4
F(G(X)) = 2X - 10.........................................................................
see more:
https://brainly.com/question/17280519
If the expanded form is 2 x 2 x2 x 3 x 3 x 5 x 7 what is the exponential form
Answer:
2^3 * 3^2 * 5*7
Step-by-step explanation:
2 x 2 x2 x 3 x 3 x 5 x 7
We have 3 2's multiplied together
2^3
2 3's multiplied together
3^2
one 5 and one 7
2^3 * 3^2 * 5*7
Can you see ninths? How many lemon cookies will you eat if you eat 4/9 of the cookies?
Answer: well this really depends on how many cookies were there in the first place if there was 9 you would have eaten 4 if there was 18 you would have eaten 8.
what is the density of an object with 17 g and a volume of 3cm^3
Answer:
5.6666666666667 grams/cubic centimeters
Step-by-step explanation:
teps:
ρ = m / v
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
17 gram s / 3 cubic centimeter
= 5.6666666666667 grams/cubic centimeter
I believe this is correct unless you need to round it up
I hope I helped
Answer:
5.67g/cm³
Step-by-step explanation:
Density =mass ÷ volume
17÷3=5.67
Find the solution set. |x| = -4 A. { } B. {-2, 2} C. {-4, 4} D. {-16, 16}
Answer:
A. { }
Step-by-step explanation:
Absolute value cannot be less than zero.
-4 < 0
There is no solution for x, ∈, R.
Hope this helps.
The body of a 154-pound person contains approximately milligrams of gold and milligrams of aluminum. based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?
This question is incomplete
Complete Question
The body of 154-pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum.
Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?
Answer:
300 times
Step-by-step explanation:
From the above question, we are told:
The body of 154-pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum.
We create a proportion
2 × 10^-1 mg of gold : 6 × 10^1 mg of aluminum
= 0.2 mg of gold : 60 mg of aluminum
Therefore, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body is calculated as:
60mg ÷ 0.2 mg
= 300
Therefore, the number of milligrams of aluminum in the body is 300 times the number of milligrams of gold in the body
Two cruise ships left the same port. After two hours, Ship A is 30 miles west and 18 miles north of the port and Ship B is 10 miles west and 27 miles south of the port. If there is a tug boat located one-fifth of the way from Ship A to Ship B, find the location of the tug boat relative to the port.
Answer:
30.83 miles
Step-by-step explanation:
Distance of ship A from port is x
X²= 18²+30²
X²= 324+900
X²=1224
X=34.9857 miles
Bearing from port
Tan tita= 18/30
Tita = tan^-1 3/5
Tita= 31°
N 31° E
Distance of ship B from port is y
Y²= 27²+10²
Y²= 729+100
Y²= 829
Y=28.7924 miles
Bearing from port
Tan tita= 2.2
Tita= 69.7°
90-69.7= 20.3
N 20.3°W
Distance between the two ships is z
Z²=34.9857²+28.7924²-2(24.9857)(28.7924)cos(31+69.7°)
Z²= 2053+267.1
Z²= 2320.1
Z=48.18 miles
One fifth of 48.18
=9.63 miles
Distance of the boat is D
D/sin 60 = 34.9857/sin 100.7
D=30.83 miles
Solve for x. x/3≤−6 A. x≥−18 B. x≤−18 C. x≥−2 D. x≤−2
Answer:
Step-by-step explanation:
x/3 ≤ -6
x ≤ -18
answer is B
Answer:
B
Step-by-step explanation:
it is simple easy..first you have to through your 3 become times with -6,then you have your answer
evaluate the power 15 to the second power
Answer:
225
Step-by-step explanation:
[tex]15^{2}[/tex]
15×15
225
4. Consider the figure below.
(5x - 14) ft
(2x) - 5x2 - 12x + 14) ft
What is the total area, in square feet, of the figure
Answer:
(10x⁴ - 52x³ + 5x² + 246x - 196) ft²
Step-by-step explanation:
The figure can be divided into two rectangles: the small rectangle and the large rectangle.
Dimensions of the small rectangle:
Length (l) = (x) ft
Width (w) = (x² - 6) - (5x - 14) = x² - 6 - 5x + 14 = (x² - 5x + 8) ft
Area of small rectangle = l*w = (x)(x² - 5x + 8)
Area = x(x²) - x(5x) + x(8) (using distributive property)
Area of small rectangle = (x³ - 5x² + 8x) ft²
Dimensions of large rectangle:
Length (l) = (2x³ - 5x² - 12x + 14) ft
Width (w) = (5x - 14) ft
Area of large rectangle = l*w = (2x³ - 5x² - 12x + 14)(5x - 14)
2x³(5x - 14) - 5x²(5x - 14) - 12x(5x - 14) + 14(5x - 14) (distributive property)
10x⁴ - 28x³ - 25x³ + 70x² - 60x² + 168x + 70x - 196
Combine like terms
Area of large rectangle = (10x⁴ - 53x³ + 10x² + 238x - 196) ft²
Area of figure = area of small rectangle + area of large rectangle
= (x³ - 5x² + 8x) + (10x⁴ - 53x³ + 10x² + 238x - 196)
Open parentheses
= x³ - 5x² + 8x + 10x⁴ - 53x³ + 10x² + 238x - 196
Combine like terms and arrange in standard form (from the greatest degree to the least)
= 10x⁴ + x³ - 53x³ - 5x² + 10x² + 8x + 238x - 196
= 10x⁴ - 52x³ + 5x² + 246x - 196
Area of the figure = (10x⁴ - 52x³ + 5x² + 246x - 196) ft²
please help me with this
Answer:
the answer to your question is 7/4
What's wrong with this problem. 2(n+3) = 2n +3
Answer:
The wrong is while using Distributive property we have to use on both sides here it is only done in one place
2(n+3)=2n+6
I need help I’m confuse
Answer:
5. y=-1 (the line of reflection)
6. 90 degrees CCW
7. move the figure 4 units right
8. Increase or multiply the figure by two...
Step-by-step explanation:
7.(add 4 to every x value) and 6 down (subtract 6 from every y-value)
8.J is 2 units up and one unit left of the origin so you'd multiply it by 2 so that it is 4 units up and 2 units left of the orgin. Repeat this for every point of the triangle
If two acute angles are added together then the result is an obtuse angle.
True
False
Helpppppppppppppppppppp pleaseeeeeeeeeeeeee
Answer:
ok
Step-by-step explanation:
what
Write the equation of the line that goes through the point
(7, 10) and is parallel to the line y = 2x + 5
Use point slope equation.
Since parallel, the slope is the same. Then jsut plug in the numbers to the formula (u can google this)
y - 10 = 2 (x - 7)
^^this is point slope form
for slope intercept:
y = 2x - 4
Answer:
[tex]y=2x-4[/tex]
Step-by-step explanation:
So we want to write an equation of a line that goes through the point (7,10) and is parallel the the line y=2x+5.
First, we can determine the slope of our new line. Parallel lines always have the same slope. In other words, the slope of our new line must also be 2.
Now, we can use the point-slope form to find our equation:
[tex]y-y_1=m(x-x_1)[/tex]
Let's let (7,10) be x₁ and y₁. Let's also substitute 2 for m. Thus:
[tex]y-10=2(x-7)[/tex]
Distribute:
[tex]y-10=2x-14[/tex]
Add 10 to both sides:
[tex]y=2x-4[/tex]
And we're done!
how many hours does a owl monkey that lived 27 years get in its lifetime
Answer:236,520 hours
Step-by-step explanation:
You multiply the years(27) times the number of days in one year(365) which equals 9,855 and then you multiply that by the number of hours in a day(24) so it equals 236,520.
write the sentence as an equation
z is the same as a more than 252
Answer:
it depends on what ur multipling
A nut mixture consists of almonds and cashews
Answer:
Mixed nuts are a snack food consisting of any mixture of mechanically or manually combined nuts. Peanuts, almonds, walnuts, Brazil nuts, cashews, hazelnuts. Mixed nuts may be salted, roasted, cooked, or blanched. I hope this helps you with your...nut problem .-_-.
Marvin wages are
for moving 480 crates at a piecework rate of $1.50 per crate.
$720
O $150
None of these
$481.50
$320
Answer:
The answer to your question is 320
-5x^5+35x^4-30x^3 can someone help me pls
Answer:
if im correct -5^3
Step-by-step explanation:
Mylie went by the gas station to get 2.4 gallons of gas. She paid with a $10 bill and a $5 bill and received $4.68 as change. What was the cost for one gallon of gas before taxes? $4.30 $8.20 $10.32 $24.77
We don't know what tax percentage or amount is so we have to keep this part out.
Add to find how much she paid with.
10 + 5 = $15
Subtract to find how much she paid.
15 - 4.68 = $10.32
Divide to find the unit price.
10.32 / 2.4 = $4.30 per gallon
Best of Luck!
Complete this expression using the distributive property: 5(4 + 8) =
Explanation: The distributive property tells us when there's a number outside a set of parenthses, you can multiply it times each of the terms that are inside the set of parenthses and then add those products together.
So in this problem, we can multiply 5(4) + 5(8)
which simplifies to 20 + 40 which equals 60.
Answer:
5(4) + 5(8)
Step-by-step explanation:
Just trust me :D
You are the manager of a fast-food store. Part of your job is to report to the boss at the end of each day which special is selling best. Use your vast knowledge of descriptive statistics to write one paragraph letting the boss know what happened today. Here are the data. Do this exercise by hand. Be sure to include a copy of your work.SPECIAL NUMBER SOLD COSTHuge Burger 20 $2.95Baby Burger 18 $1.49Chicken Littles 25 $3.50Porker Burger 19 $2.95Yummy Burger 17 $1.99Coney Dog 20 $1.99Total Specials Sold 119
Answer:
A total of 119 Specials were sold today. Chicken Littles had the highest number sold, which represents about 21% (25/119 * 100) of the total sales and a cost of 24% of the total costs. This was followed by Huge Burger and Coney Dog which were sold 20 each or about 17% of the number sold. Poker Burger, Baby Burger, and Yummy trailed behind with total sales of 19, 18, and 17 respectively.
Step-by-step explanation:
a) Data and Calculations:
SPECIAL NUMBER SOLD Percentage COST Percentage
Huge Burger 20 17% $2.95 20%
Baby Burger 18 15% $1.49 10%
Chicken Littles 25 21% $3.50 24%
Porker Burger 19 16% $2.95 20%
Yummy Burger 17 14% $1.99 13%
Coney Dog 20 17% $1.99 13%
Total Specials Sold 119 100% $14.87 100%
Find and simplify each of the following for fx = 6x -3. (A) f(x+ h) (B) f(x +h) - f(x) (C) f(x + h) - f(x)/h
Answer:
A
[tex]f(x+ h) = 6x + 6h -3[/tex]
B
[tex]f(x+ h) - f(x) = 6h[/tex]
C
[tex]\frac{f(x + h) - f(x)}{h} = 6[/tex]
Step-by-step explanation:
From the question the given equation is
[tex]f(x) = 6x -3[/tex]
Considering A
[tex]f(x+ h) = 6(x + h) -3[/tex]
=> [tex]f(x+ h) = 6x + 6h -3[/tex]
Considering B
[tex]f(x+ h) - f(x) = 6x +6h -3 - (6x-3)[/tex]
[tex]f(x+ h) - f(x) = 6h[/tex]
Considering C
[tex]\frac{f(x + h) - f(x)}{h} = \frac{6h}{h}[/tex]
[tex]\frac{f(x + h) - f(x)}{h} = 6[/tex]
A football field is 120 yards by 53.333 yards. What is the area of the football field in acres if 1 acre=43560 ft?? Use correct
significant figures when answering this question.
Answer:
The area of the pitch in an acre is 1.32 acreStep-by-step explanation:
This problem requires to test our understanding of unit conversion, and we are expected to present our answer in an acre
first, let us convert from the yard to feet
given that the dimension of the pitch is
120 yards by
53.333 yard
1 yard is 3 foot
120 yards will give x
cross multiply we have
x1= 120*3
x1= 360 feet
also the second dimension is
x2= 53.333*3
x2= 159.999
x2= 159.999 feet
the area of the pitch is
area= 159.999*360
area= 57599.64 ft^2
Note: an acre is a unit for land area (1 acre=43560 ft^2)
if 1 acre = 43560 ft^2
x acre = 57599.64 ft^2
cross multiply we have
x acre = 57599.64/43560
x acre = 1.32 acre
What type of move takes Figure A to Figure B ?
Answer:
Step-by-step explanation: