A giant and a dragon live next door to each other. The giant's house is 23 meters tall. His house is 35 meters shorter than the dragon's house.
9. a) A computer can finish to download an application file in 4 minutes of 600 MB per minute, 6.1 P
(1) Find the size of the application file. 1. L
(ii) How long does it take to download the file when the download rate increase
to 800 MB per minutes?
Answer:
1) 2400MB
2) 3 minutes
Step-by-step explanation:
1) 600 MB/Min * 4 Min = 2400MB
2) at 800 MB/Min a 2400MB file will require 2400MB/800MB/Min
2400/800 = 3Min
Select the correct answer from the drop-down menu.
If A and Bare independent events, P(Aand B) =
1. P(A)
2.P(B)
3.P(A) * P(B)
4.P(A) + P(B)
Answer:
Step-by-step explanation:
P(A and B)=P(A)*P(B)
Classify this triangle
A) Acute scalene triangle
B) Obtuse isosceles triangle
C) Right isosceles triangle
D) Right scalene triangle
Answer C Right Isosceles Triangle
Step-by-step explanation:
Do it
Answer: C
Step-by-step explanation:
It has a 90 degree angle, right triangle, and both legs in the triangle seem to be the same size, so it's also isosceles.
Express 2.99 x 108 m/s (the speed of light) in decimal notation (i.e., express the number without using scientific notation).
options:
2,990,000,000
299,000,000
Answer:
Step-by-step explanation:
I think you mean 2.99×10^8, not 2.99×108.
2.99×10⁸ meters per second = 299,000,000 meters per second
Please help me with this is so confusing
Answer:
The expression for the height of the solid is:
[tex]\displaystyle h = x^2+x-9[/tex]
Step-by-step explanation:
Recall that the volume of a rectangular solid is given by:
[tex]\displaystyle V = \ell wh[/tex]
Where l is the length, w is the width, and h is the height.
We know that the volume is given by the polynomial:
[tex]\displaystyle V = 3x^4-3x^3-33x^2+54x[/tex]
And that the length and width are given by, respectively:
[tex]\displaystyle \ell = 3x \text{ and } w =x-2[/tex]
Substitute:
[tex]\displaystyle 3x^4-3x^3-33x^2+54x=(3x)(x-2)h[/tex]
We can solve for h. First, divide both sides by 3x:
[tex]\displaystyle \frac{3x^4-3x^3-33x^2+54x}{3x}=(x-2)h[/tex]
Divide each term:
[tex]\displaystyle x^3-x^2-11x+18=(x-2)h[/tex]
To solve for h, divide both sides by (x - 2):
[tex]\displaystyle h = \frac{x^3-x^2-11x+18}{x-2}[/tex]
Since this is a polynomial divided by a binomial in the form of (x - a), we can use synthetic division, where a = 2. This is shown below. Therefore, the expression for the height of the solid is:
[tex]\displaystyle h = x^2+x-9[/tex]
Зх — 7 = 2х
Show work
What is the slope-intercept equation for the line below?
Step-by-step explanation:
given that the coordinate is (0,1)(4,3)
x¹=0, y¹=1, x²=4 y²=3
M=> Gradient => (y²-y¹)/(x²-x¹)
M=(3-1)/(4-0) => 1/2
Therefore the slope-intercept equation
M=(y-y¹)/(x-x¹)
1/2 = (y-1)/(x-0)
x=2y-2
2y=-2-x
y=-x/2 - 1
y = –2x2 - 4x – 6 has how many real roots?
Answer:
Step-by-step explanation:
None
They are both imaginary or complex. You can check that out by calculating the discriminate. If you get a minus answer, then there are no real roots. Let's try it.
a = - 2
b = - 4
c = - 6
D = sqrt(b^2 - 4*a * c)
D = sqrt( (-4)^2 - 4*(-2)(-6) )
D = sqrt( 16 - 48)
D = sqrt(-32) which is negative and there are no real roots.
A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean isx⎯ ⎯ x¯ = 840 and the sample standard deviation is s = 15. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of μ with 98% confidence. (Round your answers to 3 decimal places.) The 98% confidence interval is from to
Answer:
[tex](832.156, \ 847.844)[/tex]
Step-by-step explanation:
Given data :
Sample standard deviation, s = 15
Sample mean, [tex]\overline x = 840[/tex]
n = 23
a). 98% confidence interval
[tex]$\overline x \pm t_{(n-1, \alpha /2)}. \frac{s}{\sqrt{n}}$[/tex]
[tex]$E= t_{( n-1, \alpha/2 )} \frac{s}{\sqrt n}}[/tex]
[tex]$t_{(n-1 , \alpha/2)} \frac{s}{\sqrt n}$[/tex]
[tex]$t_{(n-1, a\pha/2)}=t_{(22,0.01)} = 2.508$[/tex]
∴ [tex]$E = 2.508 \times \frac{15}{\sqrt{23}}$[/tex]
[tex]$E = 7.844$[/tex]
So, 98% CI is
[tex]$(\overline x - E, \overline x + E)$[/tex]
[tex](840-7.844 , \ 840+7.844)[/tex]
[tex](832.156, \ 847.844)[/tex]
easy algebra question below first correct answer gets brainliest
Answer:
Y = 27
Step-by-step explanation:
To find the the value of y when x = 4 simply substitute the given value of x
into the equation and solve for y
Equation given: y - 3x = 15
x = 4 * substitute 4 for x in given equation *
y - 3(4) = 15
Now solve for y
simplify multiplication
y - 12 = 15
Add 12 to both sides
y - 12 + 12 = 15 + 12
y = 27
So we can conclude that when x = 4 y = 27
Answer:
y = 27
Step-by-step explanation:
y - 3x = 15
Let x = 4
y - 3(4) = 15
y - 12 = 15
Add 12 to each side
y -12 +12 =15+12
y = 27
Honestly, I'm trying my best to solve this but my Math XL is being so rude.
==============================================================
Explanation:
T is the midpoint of PQ, which means T splits PQ into two equal parts. Those parts being PT and TQ.
Set them equal to each other and solve for x.
PT = TQ
3x+7 = 7x-9
3x-7x = -9-7
-4x = -16
x = -16/(-4)
x = 4
So,
PT = 3x+7 = 3*4+7 = 19
TQ = 7x-9 = 7*4-9 = 19
Both PT and TQ are 19 units long to help confirm the answer.
Prime factorization of 797 method also
Answer:
Prime factorization: 797 is prime. The exponent of prime number 797 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 797 has exactly 2 factors
What is the value of x + y(3 − x) when x = −5 and y = 3?
Answer:
19
Step-by-step explanation:
x + y(3 − x)
Let x = -5 and y = 3
-5 +3(3 - -5)
Subtracting a negative is like adding
-5 +3(3+5)
Parentheses first
-5 +3(8)
Multiply
-5+24
Subtract
19
I want to rearrange the formula of 3+x=ax to find out what x is equal to. I already know the answer via the answer sheet but I want to know how to get that answer.
Answer:
See below.
Step-by-step explanation:
[tex]3+x=ax[/tex] (Given)
[tex]x=ax-3[/tex] (Subtracted 3 on both sides)
[tex]x-ax=-3[/tex] (Subtracted ax on both sides)
[tex]x(1-a)=-3[/tex] (Factor out x from x - ax)
[tex]x=-\frac{3}{1-a}[/tex] (Divided 1 - a on both sides)
view photo
k12 unit 1
Answer:
Step-by-step explanation:
A line has an x-intercept of –5 and a y-intercept of 1. Determine the slope of a line parallel to this line.
Answer:
Step-by-step explanation:
A line with an x-intercept of -5 has the coordinates (-5, 0); that same line with a y-intercept of 1 has the coordinates of (0, 1). The slope of this line is
[tex]m=\frac{1-0}{0-(-5)}\\m= \frac{1}{5}\\[/tex]
A line that is perpendicular to this one will have a slope of -5.
REfer and answer
Pls its urgent
Pls fast
If p and q are remainders when the polynomials
Answer:
Step-by-step explanation:
find the value of x in the diagram below
Answer:
70
Step-by-step explanation:
In a trapezoid lines are parallel, so corresponding angle sum = 180
X+X+40 = 180
2x + 40 = 180
2x = 180-40
2x = 140
X = 140/2
X = 70
Answered by Gauthmath
QUICK WHATS THIS ANSWER?!?
Answer:
C. [tex]-x-6>-3.5[/tex]
Step-by-step explanation:
One is asked to find which inequality has ([tex]x=-3[/tex]) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.
Simplify each of the inequalities, then evaluate to see which one has ([tex]x=-3[/tex]) as a part of its solution set.
A. [tex]-x -6<-3.5[/tex]
[tex]-x<2.5[/tex]
[tex]x>-2.5[/tex]
B. [tex]-x-6>3.5[/tex]
[tex]-x>9.5[/tex]
[tex]x<-9.5[/tex]
C. [tex]-x-6>-3.5[/tex]
[tex]-x>2.5[/tex]
[tex]x<-2.5[/tex]
D. [tex]x-6>-3.5[/tex]
[tex]x>2.5[/tex]
As can be seen, option (C [tex]-x-6>-3.5[/tex]) is the only one that fits this requirement. Since option (C) simplifies down to ([tex]x<-2.5[/tex]) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).
Can someone help I don't understand
Answer:
Step-by-step explanation:
What is the total surface area of the square pyramid below?
14 cm
10 cm
10 cm
O 100 cm
O 200 cm
O 280 cm?
O 380 cm?
a
Answer:
D
Step-by-step explanation:
380
please help! :)
Answer question B.
Thank you!
Answer:
t f dis say mane ion speak italian
Step-by-step explanation:
PLEASE HELP! THANK U
Answer:
-26!!!! :))))
Step-by-step explanation:
please help me out, please and thank you
Answer:
x=1°.
see the IMAGE FOR SOLUTION
Which of the following is the discriminant of the polynomial below?
X2 +6X+8
A. 8
B. 6
C4
D. 26
What is the slope of the line?
The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 193 . The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 15 . Thirty more restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of restaurant-purchased meals eaten in a restaurant, the number eaten in a car, and the number eaten at home.
9514 1404 393
Answer:
89 in a restaurant45 in a car59 at homeStep-by-step explanation:
Let r, c, h represent the numbers of meals eaten in a restaurant, car, and at home, respectively. The problem statement tells us of the relations ...
r + c + h = 193
-r + c + h = 15
r + 0c -h = 30
Add the last two equations:
(-r +c +h) +(r -h) = (15) +(30)
c = 45
Add the first two equations:
(r + c + h) +(-r + c + h) = (193) +(15)
2c +2h = 208
h = 104 -c = 59 . . . . solve for h, substitute for c
The last equation can be used to find r.
r = 30 +h = 30 +59 = 89
89 meals are eaten in a restaurant; 45 meals in a car; and 59 at home.
Write the exponential function that passes through (-1, 27), (0, 9), (1, 3).
Step-by-step explanation:
we see, for x=-1 we get 3³
x=0 we get 3²
x=1 we get 3¹
so the function is definitely a 3 to the power of x version.
but we need to adapt the exponent a bit and correct x, so that at least for these 3 values of x the result is "running backwards".
the easiest way : 2-x as exponent.
it fits.
for x=-1 we get 2 - -1 = 3 as exponent.
for x=0 we get 2-0 = 2 as exponent.
for x=1 we get 2-1 = 1 as exponent.
so, the exponential function passing through these 3 points is
[tex]f(x) = {3}^{2 - x} [/tex]