Step-by-step explanation:
let's do this in 2 steps :
1. go for 1×10⁴ math problems
2. multiply that result by 5 to fully cover 5×10⁴
1.
3.5×10^-5 × 1×10⁴ = 3.5×10^-1
2.
5 × 3.5×10^-1 = 16.5×10^-1 = 1.65×10⁰
so, the computer needs 1.65×10⁰ or simply 1.65 seconds.
15 1/2 as an integer
Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that
the distribution of contributions is normal with a standard deviation of $108. Find the limits for the middle 58% of contributions.
Answer:
B
Step-by-step explanation:
a plane flies 5.0km due north from a point O and then 6.0km on a bearing of 060° the pilot then changes course on a bearing of 120° for 4.0km. find how far and in what direction the plane is from the starting point?
The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.
A plane that travels a distance [tex]r[/tex], in kilometers, with a bearing of [tex]\theta[/tex] sexagesimal degrees can be represented in standard position by means of the following expression:
[tex]\vec r = r\cdot (\sin\theta, \cos \theta)[/tex] (1)
We can obtain the resulting vector ([tex]\vec R[/tex]) by the principle of superposition:
[tex]\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})][/tex] (2)
If we know that [tex]r_{1} = 5\,km[/tex], [tex]\theta_{1} = 0^{\circ}[/tex], [tex]r_{2} = 6\,km[/tex], [tex]\theta_{2} = 60^{\circ}[/tex], [tex]r_{3} = 4\,km[/tex] and [tex]\theta_{3} = 120^{\circ}[/tex], then the resulting vector is:
[tex]\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})[/tex]
[tex]\vec R = (5\sqrt{3}, 6) \,[km][/tex]
The magnitude of the resultant is found by Pythagorean theorem:
[tex]\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}[/tex]
And the bearing is determined by the following inverse trigonometric relationship:
[tex]\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right)[/tex] (3)
If we know that [tex]R_{x} = 5\sqrt{3}\,km[/tex] and [tex]R_{y} = 6\,km[/tex], then the magnitude and the bearing of the resultant is:
[tex]\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}[/tex]
[tex]\|\vec R\| \approx 10.536\,km[/tex]
[tex]\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)[/tex]
[tex]\theta_{R} \approx 34.715^{\circ}[/tex]
The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/21925479
Launch Problem
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
5. How many miles did Melanie run altogether last week?
Answer:
5 miles
Step-by-step explanation:
add the points together.
it seems like each point is how many miles they ran each day.
1/4 + 2(1/2) + 3/4 + 3(1) = 5
The area of the rectangular roof on a dollhouse is 756 square inches. The length of the roof is 108 inches. How many inches wide is the roof?
Answer:
7 inches
Step-by-step explanation:
756÷108=7
that's about it, but I just divided the area and length.
what is 3-4 pls pls pls
Answer: for 3) 427 hikers
Step-by-step explanation: b + 178 + b = 676
2b + 178 = 676
2b = 498
b = 249 bikers
h = 249 + 178 = 427 hikers
2
The triangle is reflected across the w-axis and then reflected across the r-axis.
What are the coordinates of p' the image of P after the reflections?
OA (3)
OB (3,4)
O a. 3.
O D. (4, -3)
Answer:
Step-by-step explanation:
P = (-4, 3)
Reflecting across the y axis negates the x value
P₁ = (4, 3)
Reflecting across the x axis negates the y value
P' = (4, -3)
option D
Which of the following is an example of a ratio variable?
A-Martha is the same gender as Ruth
B-Mary's IQ is 115 and Janet's is a 90, which means Mary's IQ is slightly higher than Janet's
C-Sam is twice the age of his son
D-George and Harry attend religious services about the same amount
WILL GIVE BRAINLIEST THANK AND FIVE STAR!
Which equation is equivalent to 32x−4y+1=0?
y=4x−1y is equal to 4 x minus 1
y=−38x−14y is equal to negative 3 eighths x minus 1 fourth
y=38x+14y is equal to 3 eighths x plus 1 fourth
y=−4x+1
Answer:
y=−38x−14y is equal to negative 3 eighths x minus 1 fourth is the answer.
QUICK! (100 POINTS) Answers All of this question fast i beg yall
Answer:
5: 4
6: 20
7: $3.20
8: 92
9: 22
10: $11.60
Step-by-step explanation:
6. remove 3 from 83, you will have 80 and then divide by 4 = 20 students in a class.
7. Subtract 8.80 from 24.80, you will get 16 dollars. Do 16 ÷ 5 = 3.2 as the cost of each pencil.
9. 94- 6 = 88 so, 88 ÷ 4 = 22.
10. 13.40 -7.60 = 5.8 as his weekly allowance.
I hope it helps.
HELPPPP I WILL GIVE POINTS AND BRAINLIEST
Answer:
11 mm, 21 mm, and 16 mm.
Step-by-step explanation:
since 11+21>16, 11+ 16>21>11, You can form a triangle with 11,21,16
Wander for the questions
Mrs. Goldstein pours 3 juice boxes into a bowl to make punch each juice box hold 236 ml how much juice it does Mrs.Goldstein pour into the bowl
708 ml
When each box contains 236 ml of juice and she pours three boxes into the bowl, you need to multiply 236 by 3. After completing the calculation, you would get 708.
Find an equation for the line below
Answer:
y = 1/2x +7/2
Step-by-step explanation:
The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...
m = rise/run = 2/4 = 1/2
The value of the y-intercept can be found from
b = y -mx . . . . . . where (x, y) is a point on the line
Using the point (-1, 3), we find the y-intercept to be ...
b = 3 -(1/2)(-1) = 3 1/2 = 7/2
Then the slope-intercept equation is ...
y = mx +b
y = 1/2x +7/2
a box 4cm by 6cm by 8cm is painted on all six faces and then cut into cubes with the 2 cm sides. how many oof these cubes have only one side painted?
Answer:
hola saludos desde kansas city
1. According to the fundamental theorem of algebra, how many zeros does the function [tex]f(x) = 3x^6 - 7x^5 - 53x^3 - 43x - 34[/tex] have?
2. What are the zeros of [tex]f(x) = 6x^3 + 25x^2 - 24x + 5[/tex]
Answer:
See below for answers
Step-by-step explanation:
1) The Fundamental Theorem of Algebra states that in an nth-degree polynomial, there are n zeroes at most, including those that are complex. Therefore, there are 6 zeroes in the function since it's a 6th-degree polynomial.
2) Reduce the polynomial and use the Zero Product Property:
[tex]0=6x^3+25x^2-24x+5[/tex]
[tex]0=(6x^2-5x+1)(x+5)[/tex]
[tex]0=(3x-1)(2x-1)(x+5)[/tex]
[tex]x_1=\frac{1}{3},x_2=\frac{1}{2},x_3=-5[/tex]
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 18 feet and a height of 15 feet. Container B has a diameter of 16 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.
To the nearest tenth, what is the percent of Container A that is full after the pumping is complete?
Answer:
5.2%
Step-by-step explanation:
Volume of cylinder= πr²h
In Container A,
D= 18ft, r=18/2=9ft, h=15ft
volume= 22/7 × 9² × 15
= 26730/7 cubic ft.
In Container B,
D=16ft, r= 16/2=8ft, h=18ft
volume= 22/7 × 8² × 18
= 25344/7 cubic ft.
percent of amount of water left in Container A= percent of container A that is full after pumping
Amount of water left in Container A,
26730/7 - 25344/7 = 1386/7
Therefore, % of container A that is full= 1386/7 ÷ 26730/7 × 100
(1386×7×100)/(7×26730)= 5.185
To the nearest tenth= 5.2%
In a class of 50 students, suppose 27 are right-handed, 9 are left-handed, and 14 are ambidextrous. All but 2 of the left-handed are also left-foot dominate. If one student is randomly selected from the class. find the probability of choosing a left-handed student who is right-foot dominate
Which expression is equivalent to 142 +35 - 2142
7z(2-5-39)
7zy(2-5-3)
21-5-39
7(2z-5-39)
HELP FAST
JoAnn is making jewelry. Set an expression that shows how much it will cost Joanne for the long length chain bracelet and for b beads that cost $0.30 each. Then find the total cost of the jewelry lol JoAnn uses 34 beads
Answer:
$0.30 x b
$10.20
Step-by-step explanation:
The equation is
$0.30 x b
Since we know JoAnn uses 34 beads, we can replace b with 34
$0.30 x 34 = $10.20
Jasmine spends $1,089.72 each month for rent and supplies to run her hair salon. If she charges $18 for a haircut, how many haircuts must Jasmine do to cover her monthly expenses? Round to the nearest whole number.
Answer: 61 haircuts
Step-by-step explanation:
can't believe that you got me in a suit and tie I had to take a pull so I wouldn't cry
You got a line out the church door sayin' goodbye
Yeah, I believe 'em when they say you're in a better place
NAME THE SONG AND THE SINGER 50 POINTS!!!!!
Answer:
give heaven some hell by Hardy
Step-by-step explanation:
solve the system using substitution x+5y=0 3y+2x=-21
Answer:
[tex]\left \{ {{x = -15} \atop {y=3}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{x + 5y = 0} (1) \atop {3y + 2x = -21}(2)} \right. <=> \left \{ {{x = -5y} \atop {3y + 2x = -21}} \right. <=> \left \{ {{x = -5y} \atop {3y + 2*(-5y) = -21}} \right. <=> \left \{ {{x = -5y} \atop {3y - 10y = -21}} \right. \\<=> \left \{ {{x = -5y } \atop {-7y = -21}} \right. <=> \left \{ {{x = -5y} \atop {y= 3 }} \right. <=> \left \{ {{x = -5 * 3} \atop {y=3}} \right.=> \left \{ {{x=-15} \atop {y=3}} \right.[/tex]
5th Grade Science Very Easy plz help me :3 NO LINKS
What makes a balloon electrically charged?
Adding more air to the balloon
Placing the balloon against a wall
Rubbing the balloon against your hair
Running water over the balloon
Answer:
rubbing it against your hair it causes friction and with friction comes energy
PLEASE HELP ME
Question 7 of 10
Which of the following is equal to the fraction below? (5/9)⁸
A. 5⁸/9⁸
B. 5/9⁸
c. 5⁸/9
D. 8•(5/9)
SUBMIT
Answer:
A 5⁸/9⁸
Step-by-step explanation:
the bracket there shows that the power is for both the numerator and denominator so A is the correct answer
Decide whether the following statement makes sense or does not make sense. The weights of babies born at Belmont Hospital are normally distributed with a mean of 6.8 pounds and a standard deviation of 7 pounds.
Answer:
yeah that makes sense to me
Which number is a favor of 12 but not a multiple of 2
Answer:
3
Step-by-step explanation:
I WILL GIVE BRAINLEST HURRY PLEASE ITS DUE RIGHT NOW HURRY PLEASE plssss help me if your good at finding area in shapes plsss
Can anybody help me with this pls?
a plane intersects the coordinate axes at the point (2,0,0), (0,3,0) and (0.0.4) the obteined point is ax+by+cz+d, find value of d
Answer:
d = 12
Step-by-step explanation:
In intercept form, the equation of the plane is ...
x/a +y/b +z/c = 1 . . . . . for x, y, z intercepts a, b, c
You have (a, b, c) = (2, 3, 4), so the equation of the plane is ...
x/2 +y/3 +z/4 = 1
Multiplying by 12 gets rid of the fractions and puts the equation in standard form:
6a +4y +3z = 12
The value of d is 12.
For each equation find a value for x that makes the equation true 10=3x-6
Answer:
5.3333
or 5 and 1/3
Step-by-step explanation:
10 = 3x - 6
add six
16 = 3x
divide by 3
5.3333 = x
I hope this helps!!