Answer:
given values are:
u=20 m/st= 30 ss= 1200 mv= ?a=?s = ut + 1/2 at²1200 = 20×30 + 1/2 × 30²a
1200= 600 + 1/2 × 900a
600 = 450a
a = 600 / 450
a = 1.33 m/s²
v²= u² +2asv² = 20² +2 × 1.33 × 1200
v²= 400 + 3192
v = √3592
v = 59.9 ≈ 60 m/s
Hoping to be named Salesperson of the Month, Luther called the names from 1/4 of a page of the phone book last week. This week, he called the people listed on another 1/2 of a page of the same phone book. How many pages worth of people did Luther call in all?
Answer:
3/4
Step-by-step explanation:
Fraction of names called last week = 1/4 of a page
Fraction called this week = 1/2 of a page
The number of pages worth of people called ;
This is an addition problem, as the total will be the sum. Of the fractions called this week and last week
Hence,
Total page worth of names called :
(1/4 + 1/2) = (1 + 2) / 4 = 3/4
reciprocal of. 0×7/11
Answer:
it doesn't exist
Step-by-step explanation:
the expression 0×7/11 is equivalent to 0. 1/0 isn't possible, so its reciprocal doesn't exist.
he manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Refer to Exhibit 9-2. At a .05 level of significance, it can be concluded that the mean of the population is _____. a. significantly less than 3 b. significantly greater than 3.18 c. significantly greater than 3 d. not significantly greater than 3
what is the value of x?
Explanation:
The adjacent angle to the right of the (6x+1) angle is 180-(6x+1). Simply subtract it from 180 to get its supplementary counterpart.
The three inner angles of any triangle must add to 180, so,
(inner angle 1) + (inner angle 2) + (inner angle 3) = 180
[ 180-(6x+1) ] + (79) + (2x+10) = 180
180 - 6x - 1 + 79 + 2x + 10 = 180
(-6x+2x) + (180-1+79+10) = 180
-4x+268 = 180
-4x = 180 - 268
-4x = -88
x = -88/(-4)
x = 22
Answer:
x = 22
Step-by-step explanation:
2x + 10 + 79 = 6x + 1
Think alternate interior angles
2x + 10 + 79 makes up one of the alternate interior angles
6x + 1 is the other.
Combine like terms.
Subtract 2x both sides.
Subtract 1 from both sides.
Divide by 4 both sides.
Can someone help me with this math homework please!
Answer:
10
Step-by-step explanation:
f ( 1 ) = 18
First term ( a ) = 18
f ( n + 1 ) = f ( n ) - 2
When, n = 1
f ( 1 + 1 ) = f ( 1 ) - 2
f ( 2 ) = 18 - 2
f ( 2 ) = 16
f ( 2 ) - f ( 1 )
= 16 - 18
= - 2
Common difference ( d ) = - 2
f ( 5 )
= a + 4d
= 18 + 4 ( - 2 )
= 18 - 8
= 10
The graph of a function f(x) is shown below:
What is the domain of f(x)? (1 point)
integers from - 1< x <2
integers from -3 < y < 3
integers from -3 < y <3
integers from -1 < x < 2
Answer:
It's all integers x such that -1<=x<=2.
Step-by-step explanation:
The domain is the x values for which the relation exists.
Lets read from left to right.
First point I see from left exists at x=-1, next one at x=0, then x=1, and finally at x=2.
So it's all integers x such that -1<=x<=2.
*<= means less than or equal to
Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segment in the ratio of 5:2.
A. (-11.5, -2.5)
B. (-13, -7)
C. (-5, -15)
D. (-23, -5)
A rectangular swimming pool. Measures 16m by 20m. A path of uniform width is built around the pool. If the area of path is 100m^2, find the width of the path, giving your answer correct to 2 decimal places.
Answer:
not sure but good luck
Step-by-step explanation:
:))))
Consider two parabolas: One has equation 1 ( 4)( 4) 2 y x x =−+ . The other has the same xintercepts, but goes through the point (2,−12) How far apart are the vertices of the two parabolas
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]\to y=(\frac{1}{2})(x-4)(x+4)\\\\\to y=(\frac{1}{2}) (x^2-16)\\\\\to y=(\frac{1}{2})(x-0)^2-8\\\\vertex \to (0,-8)[/tex]
The general x-intercept parabola equation [tex]y=k(x-4)(x+4)[/tex]
Parabola crosses the dot (2,-12)
[tex]\to k(2-4)(2+4)=-12\\\\\to k(-2)(6)=-12\\\\\to -12k=-12\\\\\to k=\frac{-12}{-12}\\\\\to k=1[/tex]
The parabolic equation which crosses the position [tex](2,-12)[/tex] is[tex]y=(x-4)(x+4)[/tex]
[tex]\to y=(x-4)(x+4)\\\\\to y=x^2-16\\\\\to y=(x-0)^2-16\\\\vertex \to (0,-16)[/tex]
The distance among the vertices of the two parabolas:
[tex]= \sqrt{(0 - 0)^2+(-8-(-16))^2}\\\\ = \sqrt{0+(-8+16))^2}\\\\ =\sqrt{0+(8)^2}\\\\=\sqrt{(8)^2}\\\\= 8\\\\[/tex]
PLEASE I NEED HELP!!
Find the value of x
Answer:
y=4sqrt 3 X=8sqr 3
Step-by-step explanation:
4/y=y/12 y^2=48 y= sqrt 48= sqrt 4 * sqrt 3 * sqrt 4 = y = 4sqrt 3 then X
(4sqrt3)^2+144=x^2
48+144=192
sqrt 192
8sqrt3
wat iz dis bul crup
i made the hardest math problem, lets see if you can figure it out
p.s. ingore the line right aside from the 7.
7×(15+7-4+(x+y×38))^3 when x = 4 and y = 9
7×(15+7-4+(4+9×38))^3
=> 7×(15+7-4+(4+342))^3
=> 7×(15+7-4+346)^3
=> 7×364^3
=> 7×48228544
=> 337599808
5894 divided by 14 step by step
(Please help. I just wanna know if I’m doing this right)
Answer:
421
Step-by-step explanation:
5894 divided by 14 in decimal = 421 • 5894 divided by 14 in fraction = 5894/14• 5894 divided by 14 in percentage= 42100%
YOUR WELCOME :)))
Who know how to do this??
Answer:
Step-by-step explanation:
With some research I found that the medians (QK, RJ, and SI) are broken into 2:1 ratios.
So what this means is that QD is twice as long as DK.
QD = 2DK
QD = 2 * 6.5
QD = 13
A 90 ° angle is divided into 2 angles.
Find the size of the angles.
5x+10 and 6x-41
Answer:
So required ans is 5*11+10=65 6x-41=25
Step-by-step explanation:
You can do as,
5x+10+6x-41=90
11x-31=90
11x=31+90
11x=121
x=121/11
x=11
Because of a manufacturing error, three cans of regular soda were accidentally filled with diet soda and placed into a 12-pack. Suppose that two cans are randomly selected from the 12-pack. (a) Determine the probability that both contain diet soda. (b) Determine the probability that both contain regular soda. Would this be unusual
Answer:
1 /22
6/11
Step-by-step explanation:
Total number of soda = 12
Number of diet soda in pack = 3
Number of regular soda = 12 - 3 = 9
Suppose selection is done without replacement ;
Recall : probability = required outcome / Total possible outcomes
P(selecting diet soda on 1st pick) = number of diet soda / total Number of soda in pack = 3 / 12
Diet soda left = 3 - 1 = 2
Total sodas left in pack = 12 - 1 = 11
P(selecting diet soda on 2nd pick) = 2 /11
Probability(diet soda on both picks) =
3/12 * 2/11 = 6 / 132 = 1 / 22
B.)
P(selecting regular soda on 1st pick) = number of regular / total Number of soda in pack = 9 / 12
Diet soda left = 9 - 1 = 8
Total sodas left in pack = 12 - 1 = 11
P(selecting regular soda on 2nd pick) = 8 /11
Probability(regular soda on both picks) =
9/12 * 8/11 = 72 / 132 = 12 / 22 = 6/11
plz help me to do this
Over what interval is the function in this graph constant?
Answer:
hjjjnnnhjjjjj
Step-by-step explanation:
answer is d
Which of the following statements does not prove that ABCD is a parallelogram.
Given: A(-4, 7), B(3,0), C(2,-5) and D(-5, 2).
Answer:
answer A
Step-by-step explanation:
A=(-4,7)
C=(2,-5)
midpoint = U=((-4+2)/2, (7+(-5))/2)=(-1,1))
B=(3,0)
D=(-5,2)
midpoint = V=((3+(-5))/2,(0+2)/2)=( -1,1)
Diagonals have the same middle, the quadrilater is a parallogram.
double the sum of all prime numbers between 10and 30 then add thrice the product of all positive numbers less than 8 what is the quotient
hope so this might help
ans is above in the pic
Use the properties of logarithms to prove log, 1000 = log2 10.
Given:
Consider the equation is:
[tex]\log_81000=\log_210[/tex]
To prove:
[tex]\log_81000=\log_210[/tex] by using the properties of logarithms.
Solution:
We have,
[tex]\log_81000=\log_210[/tex]
Taking left hand side (LHS), we get
[tex]LHS=\log_81000[/tex]
[tex]LHS=\dfrac{\log 1000}{\log 8}[/tex] [tex]\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right][/tex]
[tex]LHS=\dfrac{\log (10)^3}{\log 2^3}[/tex]
[tex]LHS=\dfrac{3\log 10}{3\log 2}[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]LHS=\dfrac{\log 10}{\log 2}[/tex]
[tex]LHS=\log_210[/tex] [tex]\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right][/tex]
[tex]LHS=RHS[/tex]
Hence proved.
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =
Answer:
4c² + 11cd + 5d
Step-by-step explanation:
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)
-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)
8c²-4c²+7cd + 4cd + 8d - 3d
= 4c² + 11cd + 5d
help plsssssssssssssssssssss
Answer:
Question 10:
Answer: b.
[tex]{ \tt{f(x) = 5 {x}^{2} + 9x - 4}} \\ { \tt{g(x) = - {8x}^{2} - 3x - 4 }}[/tex]
(f + g)x, add f(x) and g(x):
[tex]{ \tt{(f + g)x = (5 - 8) {x}^{2} + (9 - 3)x - 4 - 4}} \\ { \tt{(f + g)x = - 3 {x}^{2} + 6x - 8}}[/tex]
Question 11:
Answer: a.
In relation with solution of question 10, same procedure:
[tex]{ \tt{(f - g)x = - 3 {x}^{3} + (1 - 2) {x}^{2} + ( - 3 - 4)x + 9 - ( - 9)}} \\ { \tt{(f - g)x = - 3 {x}^{3} - {x}^{2} - 7x + 18 }}[/tex]
does anyone know this?
Answer:
The volume is approximately 50 m^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
The radius is 1/2 of the diameter r = 8/2 = 4
V = pi ( 4)^2 (1)
V = 16 pi
Letting pi be approximated by 3.14
V = 3.14 * 16
V = 50.24
The volume is approximately 50 m^3
TRIANGLES please help!! :)
Answer:
A
Step-by-step explanation:
First, the list of congruence theorems are:
SSS
SAS
ASA
AAS
HL
SSA is not on the list, so we can cross that out
Next, ASA implies that two angles are congruent, but we only know that one pair of angles (the right angles) are congruent, so we can cross that out
After that, the angle is not connecting the congruent sides, so D is not an option
Finally, we know that the longest sides (AD / AC) are congruent to each other, one other pair of legs/sides are congruent, and the triangles are both right triangles. Therefore, we can apply HL here
Solve the system by substitution
y= 5x− 22
y= 4x− 17
(show your work pls)
Answer:
i think 5 is the answer not sure check with other helpers or brainer
Step-by-step explanation:
The domain of {(x, y): y = 2x2 + 1 ls
Answer:
y>1
Step-by-step explanation:
A parallelogram is cut out of a 12 inch by 8 inch sheet of paper there are four right triangles remnats two have the dimensions 2 inches by 9 inches and the other two have the dimensions 3 inches by 6 inches
Answer:
96 in²
36 in²
60 in²
6.51 in
Step-by-step explanation:
Given that :
Dimension of paper = 12 in by 8 in
Dimension of right triangles :
2 in by 9 in ; 3 in by 6 in
Area of sheet of paper = 12 in * 8 in = 96 in²
Area of triangle = 1/2 base * height
Therefore, area of remnant right triangle :
2 * 1/2 * 2 * 9 = 18 in²
2 * 1/2 * 3 * 6 = 18 in²
Combined area of triangle left = 18in + 18in = 36 in²
Area of parallelogram = Area of sheet - Area of triangles left
Area of parallelogram = 96in² - 36in² = 60 in²
Base, b of parallelogram = 9.22 in
Area of parallelogram = base * altitude,h
60in² = 9.22h
h = 60 / 9.22 = 6.51 in
Please help me with this
Answer:
108
Step-by-step explanation:
Surface area = total area of net
The net is made up of 2 unique shapes
A square with a side length of 6
The area of a square can be calculated by squaring the side length
6^2 = 36
The area of the square = 36
The net is also made up of 4 triangles
The triangles have a base length of 6 and a height of 6
The area of a triangle can be calculated by using the formula A = (bh) / 2
Where b = base length and h = height
If the triangles have a base length of 6 then b = 6 and if they have a height of 6 then h = 6
So A = 6*6/2
6 * 6 = 32
32/2 = 18
We then multiply that by 4 to get the area of all four triangles
18 * 4 = 72
Finally we add the areas together
72 + 36 = 108
The surface area is 108
What are ways using coordinate geometry, that I could determine that this is a trapezoid?
One method to see it's a trapezoid is to find the slope of lines BC and AD.
The slope formula is
m = (y2-y1)/(x2-x1)
You should find that BC and AD both have the same slope (of -1), so that means the lines are parallel. That proves we have a trapezoid.
-----------------------
To prove this trapezoid is isosceles, you can use the distance formula
[tex]d = \sqrt{ \left(x_1-x_2\right)^2 + \left(y_1-y_2\right)^2}[/tex]
to find the lengths of AB and CD (the two non-parallel sides). You should find that AB = CD.
Because AB and CD are horizontal and vertical respectively, this means you can simply count out the spaces to find that AB and CD are 3 units each. For any other rotated version of this trapezoid, use the distance formula instead.
The graph of $y=ax^2+bx+c$ passes through points $(0,5)$, $(1,10)$, and $(2,19)$. Find $a+b+c$.
Answer:
[tex]a+b+c=10[/tex]
Step-by-step explanation:
We are given that the graph of the equation:
[tex]y=ax^2+bx+c[/tex]
Passes through the three points (0, 5), (1, 10), and (2, 19).
And we want to find the value of (a + b + c).
First, since the graph passes through (0, 5), its y-intercept or c is 5. Hence:
[tex]y=ax^2+bx+5[/tex]
Next, since the graph passes through (1, 10), when x = 1, y = 10. Substitute:
[tex](10)=a(1)^2+b(1)+5[/tex]
Simplify:
[tex]5=a+b[/tex]
The point (2, 19) tells us that when x = 2, y = 19. Substitute:
[tex](19)=a(2)^2+b(2)+5[/tex]
Simplify:
[tex]14=4a+2b[/tex]
This yields a system of equations:
[tex]\begin{cases} 5 = a + b \\ 14 = 4a + 2b\end{cases}[/tex]
Solve the system. We can do so using elimination (or any other method you prefer). Multiply the first equation by negative two:
[tex]-10=-2a-2b[/tex]
Add the two equations together:
[tex](-10)+(14)=(-2a+4a)+(-2b+2b)[/tex]
Combine like terms:
[tex]4 = 2a[/tex]
Hence:
[tex]a=2[/tex]
Using the first equation:
[tex]5=(2)+b\Rightarrow b=3[/tex]
Therefore, our equation is:
[tex]y=2x^2+3x+5[/tex]
Thus, the value of (a + b + c) will be:
[tex]a+b+c = (2) + (3) + (5) = 10[/tex]
