Santa's sleigh is powered by units of Christmas spirit. If 9/10 people show Christmas spirit Santa's sleigh will deliver all packages. If there are 13,000,000 people in Pennsylvania, how many people would have to show Christmas spirit for packages to be delivered in PA? Make sure to put commas in your answer and use a calculator if you need to. * 2 points
Answer: 11,700,000
Step-by-step explanation:
Number of people in Pennsylvania =13,000,000
Fraction of people that will show Christmas spirit for Santa's sleigh to deliver all packages = 9/10
The number of people that would have to show Christmas spirit for packages to be delivered in PA will be:
= 9/10 × 13,000,000
= 11,700,000
When a system of linear equations is graphed, how is the graph of each equation related to the solutions of that equation?
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Step-by-step explanation:
I really need help on this
Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. y = x3/4, x = 0, y = 1 (in the first quadrant); about the y-axis
The volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.
To find the volume of the solid formed by rotating the region bounded by the curves y = x³/4, x = 0, y = 1 in the first quadrant about the y-axis, we can use the method of cylindrical shells.
The formula for the volume using cylindrical shells is:
[tex]\mathrm V = \int\limits^a_b {2\pi \mathrm x \times \mathrm f(x)} \, dx[/tex]
Where:
a and b are the limits of integration (in this case, a = 0 and b = 1 since we are rotating in the first quadrant).
f(x) is the height of the shell at the given x-value.
2πx is the circumference of the shell at the given x-value.
In this case, we need to express y = x³/4 in terms of x to find the function f(x).
Given: y = x³/4
To find the function in terms of x, solve for x:
[tex]x = (4y)^{(1/3)[/tex]
Now, the function f(x) becomes:
[tex]\mathrm f(x) = (4x)^{(1/3)[/tex]
Now, let's calculate the volume using the cylindrical shell method:
[tex]\mathrm V = \int\limits^1_0 {2\pi \mathrm x \times \mathrm 4x^{1/3}} \, dx[/tex]
[tex]\mathrm V = 2\pi \int\limits^1_0 { x^{4/3}} \, dx[/tex]
To integrate, add 1 to the exponent and divide by the new exponent:
[tex]\mathrm V = 2\pi \times (3/7) \times x^{(7/3)} |^0_1[/tex]
Now, evaluate the expression at the limits of integration:
[tex]\mathrm V = 2\pi \times (3/7) \times (1)^{(7/3)} - 2\pi \times (3/7) \times (0)^{(7/3)[/tex]
[tex]\mathrm V = 2\pi \times (3/7) - 0[/tex]
[tex]\mathrm V = 6\pi/7[/tex]
So, the volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.
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How much would the painting company charge to paint a house that needs 20
hours of labor? A house that needs 50 hours?
Answer:
It depends how much they get paid which is 20 dollors
Step-by-step explanation:
SO THE ANSWER IS 20
If 8y+12=36 find the value of 2y
Answer:
6
Step-by-step explanation:
If 8y+12=36, subtract 36-12=24
Divide 24 by 8 and get three. 2y with y = 3 is 6
Answer:
y=4 2(4)=8
Step-by-step explanation:
My daily point give away!!! What is ten times 30 minus 1
Answer:
29!
Step-by-step explanation:
tysm!
Answer:
10×30-1=299
Step-by-step explanation:
10×30=300
300-1=299
thx
CAN SOMEONE PLEASE HELP ME!!
Consider the polynomial function h(x) = -7x6 + 3x4 – 5x2.
What is the end behavior of the graph of h ?
Answer: As x -> ♾, h(x) -> -♾, and as x -> -♾,h(x) -> -♾
Step-by-step explanation:
The end behavior is x ----> ∞ then h(x) ----> -∞, and when x ----> -∞ then h(x) -----> -∞.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
h(x) = -7[tex]x^6[/tex] + 3 [tex]x^4[/tex]– 5x².
If we plot the Equation on the Graph we can see a parabolic Curve.
This Curve tells as x tends to ∞ the value of h(x) tends to -∞.
and, when x tends to -∞ the value of h(x) tends to -∞.
Hence, the end behavior is x ----> ∞ then h(x) ----> -∞.
and, when x ----> -∞ then h(x) -----> -∞.
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UREGENT‼️‼️
5. Could the following triangles lie on the same
graphed line? Why or why not?
Answer:
Yes
Step-by-step explanation:
Because they are right triagnles
Answer: No, the triangles do not lie on the same graphed line
=========================================================
Explanation:
Your teacher is asking if the hypotenuse segments are parallel, that way one line can slide over to the other to be directly on top of it.
Recall that parallel lines have the same slope, and slope is rise over run.
rise = change in vertical distance = change in y
run = change in horizontal distance = change in x
Let's find the slope of the hypotenuse of the triangle on the left
slope = rise/run = 15/2 = 7.5
Let's do the same for the other triangle as well
slope = rise/run = 51/6 = 8.5
The slopes are different, so we don't have a perfect match. The hypotenuse segments do not lie on the same line.
which one of the following things is NOT an example of velocity?
1. 3 miles per hour towards home
2. driving south at 80 miles per hour
3. riding a bicycle at 10 miles per hour
4. diving downward into a pool at 5 meters per second
Answer:
4
Step-by-step explanation:
round off 4827627.931 to the nearest ten thousand
Answer:
.
Step-by-step explanation:
I think it is 4,827,627.9310
Which equation describes the line with a slope of 2/5 and a y-intercept of 4.
Answer:
the equation is y=2/5x+4
Step-by-step explanation:
hope this helped :) have a good day!!
Please help due in 9 minutes
Answer:
1. b, 2. d, 3. c, 4. a.
Answer:
Step-by-step explanation:
4/7 goes to 1/7, because 1/7 is a part of 4/7
12/15 goes to 1/15 because 1/15 is the unit fraction of 12/15
6/9 goes to 1/9
and 1/3 goes to 2/3
19. Please help!!! Reporting all fake answers!:-(
my answer is (a) I think
please help im desperate.
Step-by-step explanation:
To find x,equate EF to BC
2y+x=14( from here,it's impossible to calculate the values yet)
Find the value of ‹ACB
180°-(99+45)=36°
Now equate ‹DFE to 36° to find y
8y-5=36
8y=36+5
8y=41
y=5.125
Plug in the value of y to find x
2y+x=14
x=14-2y
x=14-2(5.125)
x=3.75
9514 1404 393
Answer:
x = -12
y = 13
FE = 14
m∠E = 36°
AB ≅ DF, BC ≅ FE, AC ≅ DE
∠D ≅ ∠A, ∠E ≅ ∠C, ∠F ≅ ∠B
Step-by-step explanation:
The expression involving y is that of an angle measure. In order to find y, we need to know the angle. So, it makes sense to start by identifying corresponding angles and their measures.
The congruence statement ΔABC ≅ ΔDFE means that ...
∠A ≅ ∠D . . . 45°
∠B ≅ ∠F . . . 99°
∠C ≅ ∠E . . . 180° -99° -45° = 36°
It also means ...
AB ≅ DF . . . 10
BC ≅ FE . . . 14
AC ≅ DE . . . unmarked (and unknown*)
__
Using the measure of angle F we can solve for y:
(8y -5)° = 99°
8y = 104 . . . . . . divide by ° and add 5
y = 13 . . . . . . . . divide by 8
Using the length of side FE, we can solve for x:
2y +x = 14
2·13 +x = 14 . . . . substitute for y
x = 14 -26 . . . . . .subtract 26
x = -12
_____
* The length of the unmarked side is unknown because its measure will depend on how you compute it. The given angles and side lengths are inconsistent, so the figure shown cannot exist. If angle measures are taken as accurate, the side measures are not, and vice versa.
Which equation represents exponential decay?
PLEASE HELP!!!
I WILL HIVE BRAINLEIST IF YOU HELP
Answer:
C.
Step-by-step explanation:
Decay is getting smaller, and c is the only one where B will reduce the size of something.
Answer all the questions for a bunch of points, no scam answers please
Answer:
what questions i dont see any
Step-by-step explanation:
Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?
Answer:
5/12
Step-by-step explanation:
Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?
The above question is solved below.
The Fractional part of the quiz he got correctly is
5/9 of 3/4 of his timed maths test
= 5/9 × 3/4
= 5/12
He got 5/12 of his quiz correctly.
alex took a cab in new york city . the cabdriver charged $3.00 to ride in his cab and $1.50 per mile that he rode in the cab . if he spend $12 , how many did he ride in the cab ?
Answer
8 miles
Step-by-step explanation:
12 divided by 1.50 = 8
If Lewis can make 2 pies wi the 6 apples, how many pies can he make with 15 apples
Answer:
5 pies.
Step-by-step explanation:
2 pieces=6 half of 6=3
1 pie= 3 apples
6+6=12 can make 4 pies with 12 apples. so, it will be 5 pies.
Ty has 230 pages of text to read in the next three days. If he averages 25 pages every 1 1/4 hours, how many hours will he be spending reading?
Answer:
11.5 hrs
Step-by-step explanation:
Divide 230 by 25. Then multiply your quotient by 1.25 which is 1 1/4 to get the number of hours. 230 divided by 25 is 9.2. 9.2 times 1.25 is 11.5
Hope This Helps!
Four students have rewritten the expression with rational exponent xi in radical form as shown.
Jodie
Mark
Paul
Sally
Who has rewritten this expression correctly?
A. Jodie
B. Mark
C. Paul
D. Sally
Simplify 4 sin x cos x csc x
Answer:
That would be 4cos(x)
Have a great day don't forget to mark brainliest.
According to the boxplot shown below, what is the third quartile (Q3) value?
4
11
27
49
Answer:
Step-by-step explanation:
the answer is 49.0 so it’s d I just took the test
What is the slope that passes through (-9,-8) and (-15,-16)
Answer:
Slope = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
(-9, -8) & (-15 , -16)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-16-[-8]}{-15-[-9]}\\\\= \frac{-16+8}{-15+9}\\\\= \frac{-8}{-6}\\\\= \frac{4}{3}[/tex]
Classify a triangle that has 2 equal sides and two angles measuring 53 degrees?
A. Isosceles and Obtuse
B. Isosceles and Acute
C. Scalene and Right
D. Equilateral and AcutE
Answer:
B
Step-by-step explanation:
In geometry, an isosceles triangle is a triangle that has two sides of equal length. An acute angle is less than 90 degrees. Have a great day!
A gaint kite is contrstrused using bamboo for the edges and diagonals and card for sail. When mapped on the diagram, the ends are at P(2,-2) and R(14,-14) and the diagrams intersects at M. The short diagonals Qs divides RP in the ratio 3:1 and MP = MS calculate. C.The equation of diagonals
-10x + 10x + 5x + 5 = 5
solve for x
Answer:
x = 0
Step-by-step explanation:
-10x + 10x + 5x + 5 = 5
5x + 5= 5
5x = 0
x = 0
The Grinch said he asked for three-quarters not five-eighths for the size of wrench. What is the size of the wrench he needed written as a percent?
Answer:
3/4 as a percent is 3 divided by 4 which is 75%
I don't think you need it, but 5/8 as a percent is 62.5%
Step-by-step explanation:
Your answer is Incorrect.
A sofa is on sale for 28% off. The sale price is $486.
What is the regular price?
Answer:chicken
Step-by-step explanation:
Put the chicken in the oven turn to 450 degrees let it sit for 4-5 hours