Answer:
19500000000
Step-by-step explanation:
Which figure is described below?
The locus of points in a plane
equidistant between y = 5 and
y = -3.
A. 1 line
B. 1 plane
C. 2 planes
D. 2 lines
============================================================
Explanation:
The graph of y = 5 is the horizontal line through 5 on the y axis. Two points on this line are (0,5) and (1,5).
Similarly, the graph of y = -3 is the same idea, but the horizontal line goes through -3 this time. Two points on this line are (0,-3) and (1,-3)
Let's say we're at (0,5). Directly below this point, on the other line, is (0,-3). The midpoint of (0,5) and (0,-3) is (0,1)
The midpoint of (1,5) and (1,-3) is (1,1)
We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant from the lines y = 5 and y = -3. It's the middle line halfway between the two given lines. Think of it as the median of the highway (the two shoulders of the highway being y = 5 and y = -3).
So that's why the answer is A) 1 line
------------
Side note: any time we have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the median/middle line as described above. This applies to diagonal parallel lines as well, and vertical parallel lines.
1. How many 5-digit numbers are there for which the last digit is not a 6 or an 8, the digit 6 appears exactly once, and the number is even
Answer:
8019 possible 5 digit numbers
Step-by-step explanation:
Available number to pick from are a total of 10 which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
>> Now, let's consider when the first digit is 6 since we are told that 6 can appear only once.
For the first digit, it's only 1 way.
For the 2nd, 3rd, and 4th digit, we have 9 digits to pick from. Which is 9 ways each.
While for the 5th digit, it can't be 6 or 7. And it has to be even and so, we can pick only 0, 2, 4. Thus, we have 3 ways to choose.
So total number of ways here = 1 × 9 × 9 × 9 × 3 = 3 × 9³ ways
>> Now, let's consider when the 2nd digit is 6 since we are told that 6 can appear only once.
For the 1st digit, since 6 is not possible, and also 0 is not possible because a 5 digit number can't start with zero as it would no longer be a 5 digit number.
Thus, there are 8 ways to choose here.
For the second, third and fourth digits, there will be 9 ways each to chops.
While for the fifth digit, there will be 3 ways to choose.
Total number of ways here = 8 × 1 × 9 × 9 × 3 = 24 × 9² ways
>> When the third digit is 6, number of ways to choose will be same as above = 24 × 9² ways
>> When the fourth digit is 6, number of ways to choose will be same as above = 24 × 9² ways
We can't say none of the digits is 6 because we are told it appears exactly once.
Thus, total possible 5 digit numbers are;
(3 × 9³) + 3(24 × 9²) = 8019 possible 5 digit numbers
Sara is planning on fully renovating her kitchen. She figures that this will cost a total of $25,750. If Sandra already has $21,400 saved up, what annual interest rate
compounded semiannually would Sara need to earn in order to have the required
funds if she invests her money for 2.5 years?
Answer:
She needs an annual interest rate of 7.54%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
She figures that this will cost a total of $25,750.
This means that [tex]A = 25750[/tex].
Sandra already has $21,400 saved up
This means that [tex]P = 21400[/tex].
Semianually compunding, 2.5 years.
This means that [tex]n = 2, t = 2.5[/tex]
What interest rate?
We have to find r. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]25750 = 21400(1 + \frac{r}{2})^{2*2.5}[/tex]
[tex](1 + 0.5r)^5 = \frac{25750}{21400}[/tex]
[tex]\sqrt[5]{(1 + 0.5r)^5} = \sqrt[5]{\frac{25750}{21400}}[/tex]
[tex]1 + 0.5r = (\frac{25750}{21400})^{\frac{1}{5}}[/tex]
[tex]1 + 0.5r = 1.0377[/tex]
[tex]0.5r = 0.0377[/tex]
[tex]r = \frac{0.0377}{0.5}[/tex]
[tex]r = 0.0754[/tex]
0.0754*100% = 7.54%
She needs an annual interest rate of 7.54%.
What is the answer to this ?
Answer:
the answer is 180
Step-by-step explanation:
Solve for x
2
х
al
2
Answer:
4/5 = x
Step-by-step explanation:
2/5 = x/2
Using cross products
2*2 = 5x
4 = 5x
Divide by 5
4/5 = 5x/5
4/5 = x
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex] \frac{2}{5} = \frac{x}{2} [/tex]
Use the cross multiplication method.
[tex]2 \times 2 = x \times 5 \\ 4 = 5x \\ \frac{4}{5} = x[/tex]
➳ Answer = [tex] \frac{4}{5} [/tex]
Plz help me well mark brainliest!!
What is the surface area of the prism in square feet?
9 square feet
24 square feet
26 square feet
O 52 square feet
Answer:
SA = 52 ft²
Step-by-step explanation:
The opposite faces of the prism are congruent , then
SA = 2(3 × 2) + 2(2 × 4) + 2(3 × 4)
= 2(6) + 2(8) + 2(12)
= 12 + 16 + 24
= 52 ft²
Answer:
52
Step-by-step explanation:
Surface area = sum of faces areas
SA of a rectangular prism = 2 ( lw + wh + lh )
where l = length, w = width and h = height
The prism has the following dimensions
l = 3
h = 4
w = 2
That being said we want to plug in these dimensions into the formula
SA = 2 ( 3*4 + 4*2 + 2*3 )
3*4=12
4*2=8
2*3=6
SA = 2 ( 12 + 8 + 6 )
12 + 8 + 6 = 26
SA = 2(26)
SA = 52
Will give brainliest answer
Answer:
a
Step-by-step explanation:
Expand and simplify (x-3)(x+5)
Answer:
x2+2x−15
Step-by-step explanation:
Answer:
x^2 + 2x - 15
Step-by-step explanation:
X × X + 5x - 3x - 3 × 5 =
x^2 + 5x - 3x - 3 × 5 =
X^2 + 2x - 15
also x^2 means x to the 2nd power
33/35 in simplest form
Answer:
its already in simplest form
Step-by-step explanation:
what is the value of y in the following system of equations ? 2x + 3y = 6 2x + y = -2
y = 4
Step-by-step explanation:
2x + 3y = 6. #1
2x + y = -2. #2
Subtract Eq 2 from Eq 1,
3y - y = 6 - (-2)
2y = 8
or
y = 4
Answer:
y = 4
Step-by-step explanation:
2x + 3y = 6
2x + y = -2
Let's set the second equation equal to y. This means that y will be alone on one side of the equal sign.
2x + y = -2
Subtract 2x from both sides.
y = -2x - 2
Now that we have y as an expression, plug it into the first equation.
2x + 3y = 6
2x + 3(-2x - 2) = 6
Distribute the 3 across the parentheses by multiplying.
2x - 6x - 6 = 6
Combine like terms.
-4x = 12
Divide both sides by -4.
x = -3
Now we have solved x.
To solve for y, plug x back into one of the equations.
y = -2x - 2
y = -2(-3) - 2
Multiply.
y = 6 - 2
Subtract.
y = 4
Check your answer by plugging both values back into the original equations.
2x + 3y = 6
2(-3) + 3(4) = 6
Multiply.
-6 + 12 = 6
Add.
6 = 6
Your answer is correct.
Hope this helps!
The triangle shown below has an area of 40 units. Find the missing side.
8 and 9 are both sides (help meeee)
Find the surface area of each sphere shown below. Round you
32 yd
please tell me where to graph this!! (include if i open circle or not please) (NO FILE ANSWER!!!)
Answer:
1.Make the circle open
2.put the dot on 5
3. change direction
Step-by-step explanation:
A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.
Have a nice day! :-)
Answer:
closed circle on 3 with line pointing right
Step-by-step explanation:
the number can be greater than or equal to 3 so it means that includes 3 so closed circle on 3 and then it points right towards the bigger numbers because it can be greater than 3
Use 1/2ab sin C formula pls
Step-by-step explanation:
[tex]area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units[/tex]
you have a set of 10 cards numbered 1 to 10. you choose a card at random. Event A is choosing a number less than 7. Event B is choosing an odd number. Calculate the probability. P(A)
Answer:
6/10 for event A or 3/5 reduced
5/10 for event B or 1/2 reduced Hope that helps!
Choose which categories are ordinal data related to dogs.
species of dogs
size of dogs
fitness level of dogs
type of food
amount of rest of dogs
Answer:
I don't understand this question please write again
The band must decide when to meet for a practice. The possible days are Tuesday or Wednesday. The possible times are 3, 4, or 5 p.m.
Write the sample space to represent all of the options. How many options are there?
Answer:
There are 6 options, sample space is below.
Step-by-step explanation:
The band has 2 days to pick from. For each day, they have three different options for times. 2 days x 3 times = 6 options. Therefore, the sample space is: (usually this would be a picture, with arrows. search it )
for Tuesday: 3, 4, or 5
for Wednesday: 3, 4, or 5
5¼
a5.41 m
b5.25 m
c5.05 m
d5.04 m
Answer:
d is right broooooooooooooooo
Answer:
d
Step-by-step explanation:
5.4 is the ans ..hope it helps
Compare two images shown here. In what ways are
they alike?In what ways are they different?
Step-by-step explanation:
they are the same such that the part labelled x is the same as the part labelled 2
Look at the information below. The sum of the measures of angle M and angle R is 90°. © The measure of angle M is (5x + 10). The measure of angle R is 55º. Write an equation that can be used to determine the value of x?
Answer:
Solution given;
<M=5x+10
<R=55
<M+<R=90°
5x+10+55=90°[is a required equation]
now solving it
5x=90-65
5x=25
x=25/5
x=5is your answer.
Their sum is 90
55+5x+10=180Solve it
5x+65=905x=25x=51,2,2,4,8,32,? what comes next?
Answer:
64
Step-by-step explanation:
1 x 2 = 4
4 x 2 = 8
8 x 2 = 32
32 x 2 = 64
Answer:
256
Step-by-step explanation:
1, 2, 2, 4, 8, 32
this is how the pattern works;
1*2 = 2
2*2 = 4
2*4 = 8
4*8 = 32
8 * 32 = 256 by calculator
the table shows the total number of apples pears and oranges in a fruit basket. Which statement represents the relationship between the total pieces of fruit and the number of pears in the basket
Answer:
A. There is four times as much total fruit as pears.
Plz help me well mark brainliest if correct
You have a friend that feels tired so often that they use coffee to try to waken themselves up in the afternoon. They typically drink a venti Starbucks coffee at 4:00 pm in the afternoon. They go to bed around 10:00 pm must wake up at 6:00 am. You’re concerned that drinking the coffee may be affecting their sleep habits and using coffee to solve the problem is only making it worse.
•The amount of caffeine in a venti Starbucks coffee is 415mg
•Every hour, the amount of caffeine in your body decreases by 12%
•People that have 300mg of caffeine at bedtime experience severe sleep disruption
•People that have 50mg of caffeine at bedtime can experience a loss of one hour of sleep
•Recommend sleep time for teenagers is 8-10 hours
Create a report to determine if your friend needs to change their coffee drinking habits.
Answer:
Not sure how to answer that but i am that friend getting a venti strabucks everyday and i go to sleep at 4-6 am and wake up at sometime between 10-1 pm
Step-by-step explanation:
Find the surface area of the above solid.
A. 52 cm2
B. 43 cm2
C. 54 cm2
D. 58 cm2
Answer:
A.52 cm2 ihope ihelp po hehe
The sides of an isosceles triangle have lengths of 10, 10, and 4. Find the measures of the base angles.
Answer:
The base angles measure 78.46 degrees to the nearest hundredth.
Step-by-step explanation:
Applying the Cosine Rule:
10^2 = 10^2 + 4^2 - 2.4.10cosX where X is a base angle.
cos X = (100 - 100 - 16)/ (-80)
cos X = -16/-80
cos X = 0.2
X = 78.463 degrees
Cassie started with $48 in her savings account. She adds the same amount of money to the account each week. The table shows how much money
she has in her savings account at the end of each week shown. How much money does Cassie add to her savings account each week? Help ASAP
Answer:
I think its 12
Step-by-step explanation:
If you subtract from each its 36 but since it goes by 3 weeks you divide 36 by 3 and get 12. I am not 100% sure though.
54 divided by u = 9.
Answer:
6 = u
Step-by-step explanation:
54 / u = 9
We have to isolate "u" all by itself;
54 = 9*u
54 / 9 = u
6 = u
Hope this helps!
Answer:
6
Step-by-step explanation:
We need to find of u value such that , 54 divided by u = 9. Converting it into equation ,
Equation :-
→ 54/u = 9
→ 1/u = 9 × 1/54
→ 1/u = 1/6
→ u = 6
Hence the required answer is 6.carol rolled a dice 150 times she rolled a six 39 time
Answer:
nice
Step-by-step explanation:
whats the rest of the problem or is it just that she rolled a dice
What is the same ration of 2/3
Answer:
4/6
Step-by-step explanation:
Answer:
4/6
Step-by-step explanation: