Answers
Answer:
A = 48
Step-by-step explanation:
In this equation, we can factor out the expression [tex](\frac{1}{7} )^x[/tex]. If we do so, the expression becomes:
[tex](\frac{1}{7})^x((\frac{1}{7})^{-2} - 1)[/tex]
We can simplify to get:
[tex](\frac{1}{7} )^x(49 - 1)[/tex]
and get:
[tex]48*(\frac{1}{7})^x[/tex]
Therefore, A = 48
Related Questions
If 50 students were surveyed about their after-school sports, how many students play soccer?
Answers
Answer:
15
Step-by-step explanation:
30% is equal to 0.3 as a proportion
Multiply 50 by 0.3 to get the number of students who play soccer.
50 X 0.3 = 15
Answer:
15
Step-by-step explanation:
football and track =50% =25 students
20% of 50 is =10 students then 25 +10 =35-50=15 students which is how many plays soccer
The braking ability of two types of automobiles was compared. Random samples of 64 auto mobiles were tested for each type. The recorded measurement was the distance required to stop when the brakes were applied at 40 miles per hour. The computed sample means and variances were as follows:
y¯¯¯1=118,y¯¯¯2=109 s21=102,s22=87
. Do the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles? Give the attained significance level.
Answers
Answer:
The data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles
Step-by-step explanation:
Formulate the null and alternate hypothesis as
H0: u1= u2 against the claim Ha: u1≠ u2
The data given is
y`1=118, y`2=109 s21=102, s22=87
The test statistic used is t= y1`- y2`/ Sp√1/n1+ 1/n2
n1= n2= 64
And
Sp² = (n1-1) s12 + (n2-1) s22 / n1+n2-2
Sp² = 63*102+6*87/64+64-2
Sp² = 94.5
Sp= 9.7211
Putting the values in the test statistic
t= 118-108/9.7211√1/64+1/64
t= 5.237
Now finding the value of t at ∝=0.01 for two tailed test
t( 126,0.005)= ±2.6154
At alpha= 0.01 the null hypothesis is rejected.
Now finding the value of t at ∝=0.05 for two tailed test
t( 126,0.025)= ±1.979
Even at alpha= 0.05 the null hypothesis is rejected.
Also at alpha= 0.05 the null hypothesis is rejected because the critical value is ±1.657
Hence it is concluded that the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles
The circumference of the tire of Melvin’s cycle is 2.5m. He took part in a race of 2km. When
he had covered 1.2km, the tire burst. To finish the race, how many more times should the wheel go
round?
Answers
Answer:
320
Step-by-step explanation:
Distance to go
2km - 1.2 km = 0.8km = 800m
Revolutions needed
800/2.5 = 320
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x^2+ 181x + 59
Answers
Answer:
The rocket will hit the ground after about 11.63 seconds.
Step-by-step explanation:
A rocket is launched from a tower. Its height y in feet after x seconds is modeled by the equation:
[tex]y=-16x^2+181x+59[/tex]
We want to determine the time at which the rocket will hit the ground.
If it hits the ground, its height y above the ground will be 0. So, we can set y = 0 and solve for x:
[tex]0=-16x^2+181x+59[/tex]
Solve the quadratic. Factoring is too tedious or impossible, and completing the square is also very tedious. So, we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = -16, b = 181, and c = 59. Substitute:
[tex]\displaystyle x=\frac{-(181)\pm\sqrt{(181)^2-4(-16)(59)}}{2(-16)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{-181\pm\sqrt{36537}}{-32}[/tex]
Simplify:
[tex]\displaystyle x=\frac{181\pm\sqrt{36537}}{32}[/tex]
Hence, our solutions are:
[tex]\displaystyle x=\frac{181+\sqrt{36537}}{32}\approx 11.63\text{ or } x=\frac{181-\sqrt{36537}}{32}\approx-0.32[/tex]
Since time cannot be negative, we can ignore the second solution.
So, the rocket will hit the ground after about 11.63 seconds.
Francesco built a box to store his baseball cards. The box is shown below.
Francesco needed more storage and built a similar box that was one-half of each the length, the width,
and the height of the first box. By what factor does the change in dimension between the two boxes
affect the volume?
ILL GIVE BRAINLIEST
Answers
Answer:
Option B
Step-by-step explanation:
Scale factor by which the dimensions of the new box was dilated = [tex]\frac{1}{2}[/tex]
In other words, dimension scale factor = [tex]\frac{1}{2}[/tex]
Relation between volume scale factor and dimension scale factor is,
Volume scale factor = (Dimension scale factor)³
Therefore, volume scale factor of the smaller box = [tex](\frac{1}{2})^3[/tex]
= [tex]\frac{1}{8}[/tex]
Since, volume scale factor = [tex]\frac{\text{Volume of the dilated figure}}{\text{Volume of the original figure}}[/tex] = [tex]\frac{1}{8}[/tex]
Therefore, volume of the smaller box = Volume of the larger box
Option B will be the answer.
NEED HELP ON MATH TEST ASAP!! Will give BRAINLY
Must show work on all problems!!
Answers
a=1/2 17*6
a= 1/2 102
a= 51
Area of rectangle
a=bh
a= 17*12
a= 204
Now add both together which is 255 and should be the answer
11. Find the diameter of a circle with an area of 240.257 square millimeters. Round the answer to the nearesttenth.
Answers
Answer:
17.49
Step-by-step explanation:
A=πr2
d=2r
d=2A
π=2·240.26
π≈17.49013
Find the surface area of the box with dimensions 125mm×64mm×84mm to the nearest mm?
Answers
Answer:
hi
Step-by-step explanation:
you should eat more sushi because it will help you digest food better! just letting you know to help you and make you feel healthy!
xoxo
The spray from a spinning lawn sprinkler makes
a circle with a 40 foot radius. If Ben and his
friends what to play and get wet, how much
space do they have?
Answers
Answer: [tex]5027.2\ ft^2[/tex]
Step-by-step explanation:
Given
The radius of the circle is [tex]r=40\ ft[/tex]
The area of the circle is given by [tex]\pi r^2[/tex]
Insert the value of radius and get the area to play
[tex]\Rightarrow \text{Area A=}\pi \times 40^2\\\\\Rightarrow A=3.142\times 1600\Rightarrow A=5027.2\ ft^2[/tex]
Thus, the area to play is [tex]5027.2\ ft^2[/tex]
It took lan three years to collect 25,413 aluminum cans to recycle. In the first year he collected 8,917 cans, and in the second year he collected 7.639 cans Which equation can be used to find x, the number of cans tan collected in the third year? A X = 25,413-8,917 - 7,639 B X = 25,413 +8,917 + 7,639 CX-8,917 +7,639 D 8,917-7,639
Answers
Answers:
1. 24 cans/lb x 15,000 lb/trailer = 360,000 cans/trailer
2. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 15,000 lb = $9,000
3. 15,000 lbs/trailer / 30 lbs/collector = 500 can collectors/trailer
4. 15,000 lbs/trailer / 800 lbs/bale = 18 complete bales (and 3/4 of another bale)/trailer
5. 24 cans/lb x 800 lb/bale = 19,200 cans / bale
6. 100 bales/boxcar x 800 lbs/bale = 80,000 lb. cans / boxcar
7. 100 bales/boxcar x 19,200 cans/bale = 1,920,000 cans / boxcar
8. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 80,000 lb/boxcar = $48,000/boxcar
Pick the right one.
Angle Relationships
When solving for x, the sine of 44° is used. What other angle and trigonometric function could be used to solve for x?
a. tan 46°
b. cos 46°
c. tan 44°
d. cos 44°
Please select the best answer from choices provided
Answers
Answer:
B. cos 46°
Step-by-step explanation:
I calculated it logically
Answer:
b. cos 46
Step-by-step explanation:
There are three angles to choose from since there are three angles in a triangle. Of these, the 90° angle can't be used (90° angles don't work with trigonometric ratios), and neither can the 44° (we're told to use a different one from this), so we're left with the unmarked angle on the bottom right. Since the angles in a triangle add to 180, and the other two angles total 134 (90+44=134), we can say this angle is 46°.
Since cos46 is our only option that involves this angle (and since cos46=x/9), this is the option which could be used to find x.
predict the next number in the table. cycle: 1,2,3,4,5. people told: 1,3,9,27,?
Answers
What is the probability of choosing a gray button replacing it and choosing a gray button ?
Answers
the answer is that you get the same outcome
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.
Answers
Answer:
The statement "[tex]\angle BAF[/tex] and [tex]\angle EAB[/tex] are complimentary" is false.
Step-by-step explanation:
Complimentary angles are defined by angles that add up to [tex]90^{\circ}[/tex]. Angles BAF and EAB represent one side of a line, which is [tex]180^{\circ}[/tex]. Therefore, they are actually supplementary and not complimentary. Thus, the statement "[tex]\angle BAF[/tex] and [tex]\angle EAB[/tex] are complimentary" is false.
Hey guys can you please help me?? Thank you!
Answers
44+51=95
180-95=85
85/17=5
answer: 5
Answer:
17x+44+51 = 180
x=5
Step-by-step explanation:
The angles in a triangle add to 180, so set up the equation by adding the measures of each angle on one side and putting 180 on the other side, then solve:
17x+44+51 = 180
17x+95=180
17x=85
x=85/17=5
Hope this helps :)
HELP ASAP will give you brainlist
Answers
Answer:
24
Step-by-step explanation:
sorry if incorrect
what is 2/5 times 30 equal in simplets form
Answers
Answer:
2/5 times 30 equals 12.
Answer:Step-by-step explanation:
Ardem collected data from a class survey he then randomly selected samples of five responses to generate for samples
Answers
Answer:
Step-by-step explanation:
Ardem collected data from a class survey he then randomly selected samples of five responses to generate for samples
look at picture
Answer:
i dont frickin know the answer
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use this number to simulate the weather in the video game.
explain
Answers
Answer: 35
Step-by-step explanation:
The ratio of parrots to cats in the pet store is 5 to 20. If there are 4 parrots
how many cats are there?
A. 16
B. 1
C. 20
D. 25
Answers
Answer:
A. 16
Step-by-step explanation:
x + 2y = 4
4x + 8y = 64
find how many solutions there is
Answers
Answer:
No solutions
Step-by-step explanation:
Multiply the top equation by 4
4x + 8y = 16
now both equations have the same left hand side
4x + 8y
but one equals 16 the other 64
Therefor: no solutions
Answer:
Step-by-step explanation:
Multiply the top equation by 4
4x + 8y = 16
now both equations have the same left hand side
4x + 8y
but one equals 16 the other 64
( simultaneous equations )
Help me out with this please!
No links to websites other than Brainly.
Answers
Problem 1
Answers:
It costs 1.72 dollars to send a letter that is 1.5 ounces
It costs 1.72 dollars to send a letter that is 2 ounces
In short, both answers are 1.72 dollars
--------------------------------
Explanation:
The piecewise function may seem really ugly and complicated, and I can understand why many don't like them, but they aren't too bad once you get used to it.
A piecewise function is simply a collection of many functions glued together. Instead of listing four different functions, your teacher has combined them all into one super function of sorts.
Here are the rules for this function
If [tex]0 < w \le 1[/tex], then F(w) = 1.15If [tex]1 < w \le 2[/tex], then F(w) = 1.72If [tex]2 < w \le 3[/tex], then F(w) = 2.29If [tex]3 < w \le 3.5[/tex], then F(w) = 2.86As you can see, the definition of F(w) will change depending on what w is.
If the weight is w = 1.5 ounces, then we're on the interval [tex]1 < w \le 2[/tex] since 1.5 is between 1 and 2. So we go for the second definition shown above and we conclude that it will cost $1.72 to send this 1.5 ounce letter.
If you wanted, you could rewrite those four bulleted points into this equivalent form
If [tex]0 < w \le 1[/tex], then the cost is $1.15 to send the letterIf [tex]1 < w \le 2[/tex], then the cost is $1.72 to send the letterIf [tex]2 < w \le 3[/tex], then the cost is $2.29 to send the letterIf [tex]2 < w \le 3.5[/tex], then the cost is $2.86 to send the letterwhich is a less mathematical way of stating it. It might also help to make it into a chart, which would help customers better who may not want to deal with math.
A letter that's 2 ounces will cost $1.72 as well since w = 2 makes [tex]1 < w \le 2[/tex] true.
In short, both the 1.5 ounce and 2 ounce letters cost $1.72 each.
===========================================================
Problem 2
Answer: The graph is shown below (attached image)
--------------------------------
Explanation:
We have what is called a step function, or a staircase function. Either name will work. The graph consists of the horizontal portion of the stairs, but the vertical parts of the stairs are not drawn (or else we wouldn't have a function due to the vertical line test).
Note the placement of the open and closed endpoints. An open endpoint excludes the value in question, while a closed endpoint includes the value.
For instance, we have an open endpoint at (1, 1.72) while there's a closed endpoint at (1, 1.15). Each closed endpoint is directly connected to the "or equal to" portion of the inequality sign, and each open endpoint does not have the "or equal to" portion.
As the graph shows, we basically have the a certain flat cost for the four different regions. This corresponds to the costs given in the piecewise function. Each height is drawn from the list {1.15, 1.72, 2.29, 2.86}
The point labels of A,B,C,D,E,F,G,H are optional. I only put them in there to help identify which endpoints are open or closed. Points on the left side of each segment, or horizontal stair component, are open endpoints. Points on the right side are closed endpoints.
Q11. What should be subtracted from -5/3 to get -2/7?
0 29/21
O o C
- 21/29
- 29/21
O 21/29
Answers
If 4 television weigh 160 pounds , How much do 5 of those television weigh.
Must show your work
Answers
Answer:
Step-by-step explanation:
640
Answer:
200 pounds
Step-by-step explanation:
We can write a proportion to represent the problem. Let's take x as the weight of 5 televisions. If we know that 4 televisions weigh 160 pounds we can write: 4/160. Then, 5 televisions will weigh x pounds which is 5/x. Now, we can set up a proportion: 4/160 = 5/x
Cross multiply to get: 4x = 800
Isolate x: x = 800/4
Solve: x = 200
200 pounds
CAN SOMEONE PLEASE HELP ME :(
Answers
Answer:
Step-by-step explanation:
d
Nine people in a square
Answers
If there are nine people in a square, then there will be 3 rows and 3 columns.
Because 3² = 9 or √9 = 3
Show the number of 76 at least 2 ways?
Answers
Help me with Perpendicular angles
Answers
Answer:
x = 50°
x = 70°
Step-by-step explanation:
A right angle is indicated by a small box.
The angles shown are right angles = 90° each. Therefore:
✔️x + 40° = 90°
Subtract 40° from each side
x = 90° - 40°
x = 50°
✔️x + 20° = 90°
Subtract 20° from each side
x = 90° - 20°
x = 70°
Find the missing side length. Leave your answer as a radical in the simplest form
Please help...no links
Answers
9514 1404 393
Answer:
x = y = 12
Step-by-step explanation:
A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...
1 : 1 : √2
Multiplying these ratios by 12 gives ...
12 : 12 : 12√2 = x : y : 12√2
The side lengths x and y are both 12 units.
What is b<4 on a number line
Answers
Answer:
stay safe healthy and happy.Answer:
(SEE ATTACHED PICTURE)
Step-by-step explanation:
You put a circle above the number used in the inequality.
The circle is closed if the inequality is greater than or equal to, or less than or equal to. This indicates that the number is included.
The circle is open if the inequality is greater than, or less than. This indicates that the number is not included.
The arrow goes to the left if it is less than, and to the right if it is greater than.
So, for your problem, an open circle goes about the number 4 and points left.