Answer:
The answer is D
Step-by-step explanation:
If you are working with right triangles, all of the other answers make a right triangle but if you're working with all triangles, all of the above can make a triangle.
The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5. What is the first term of series?
Answer:
4Step-by-step explanation:
Suppose
S = sum of the six termsa1 = the first term[tex]\left. { S = a _ { 1 } \frac { 1 - 5 ^ { 6 } } { 1 - 5 } } \\\\ { \Leftrightarrow S = \frac { a _ { 1 } } { 4 } ( 5 ^ { 6 } - 1 ) } \\\\ { \Leftrightarrow a _ { 1 } = \frac { 4 S } { 5 ^ { 6 } - 1 } } \right.[/tex]
then a1 = (4×15 624)÷(5^(6)-1)
= 4
Question 3 of 10
2 Points
What are the square roots of 81? Check all that apply.
A. 3
B. -9
C. 9.5
D. |9|
E. -3
F. 9
Answer:
F. and D.
Step-by-step explanation:
square root of 81 is 9 because 9 is a number which produces a specified quantity when multiplied by itself.
Please help me with my algebra.
Answer:
(8, -1)
Step-by-step explanation:
To use elimination, we can add the two equations together to eliminate the y:
x-y = 9
x+y = 7
x + x -y + y = 16
2x = 16
x = 8
Plug that back into the original equation to get:
8-y = 9
y = -1
So the ordered pair is (8, -1)
[tex]g = \frac{ {v}^{2} - {u}^{2} }{2h} [/tex]
Given that,
[tex]u = 480 \\ v = 500 \\ h = 10[/tex]
find the value of g.
Answer:
g=1960
hope it helped
Step-by-step explanation:
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
Which expression is equivalent to
Answer:
B. [tex]\sqrt[9]{xy^2}[/tex]
Step-by-step explanation:
Answer:
[tex]x(\sqrt[9]{y^2} )[/tex]
Step-by-step explanation:
[tex]xy^{2/9}[/tex]
The power 2/9 is on the variable y.
[tex]x(y^{2})^{1/9}[/tex]
The power 1/9 can be written as the ninth root.
[tex]x(\sqrt[9]{y^2} )[/tex]
i need help with 2 of these
Answer:
1false
2true
Its me, hope from the day we said we would text at 10am remember lollll that person so HI i have a lot of accounts and the other got banned for no reason
Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew
spent a total of $65 for membership and gym use. If the equation 10+5x = 85 models the situation, how many times did he
use the gym last month?
11
O 12
13
15
Answer:
11
Step-by-step explanation:
11x5+10=65
Answer: 11 on edge
Step-by-step explanation:
subtract 10 from both sides of the equation to get: 5x=55
then, divide both sides by 5 to get: x=11
so he used the gym 11 times last month!
Hope this helps have a great day!
*PLEASE ANSWER* Write an equation for the circle whose graph is shown.
Answer:
D .
Step-by-step explanation:
(x+2)2+y2=4.
this is because the equation for the circle is in the graph.
Answer:
D
Step-by-step explanation:
Emilio borrows $1200 from a bank with 7.5% simple interest per year. How much will he have to pay back total in 4 years?
Answer:
1560
Step-by-step explanation:
1200*0.075 = 90
1200+90+90+90+90
Answer:
$1,560
Step-by-step explanation:
7.5% of $1,200 is 90. 90 times 4 (as in 4 years) is 360.
$360 plus $1,200 is $1,560.
Why is the product of a rational number and an irrational number Irrational?
Answer:
Because the product is always non-termination,non-repeating decimal.
Step-by-step explanation:
If we have [tex]a[/tex] is irrational; [tex]b[/tex] is rational such that [tex]b \neq 0[/tex] , then [tex]a \cdot b[/tex] is irrational.
A way to represent this is:
[tex]a\in\mathbb{R}\setminus\mathbb{Q}, b\in\mathbb{Q},ab\in\mathbb{Q}\implies a\in\mathbb{Q}\implies\text{Contradiction}\therefore ab\not\in\mathbb{Q}.[/tex]
Note that we have a contradiction, because [tex]a[/tex] is not a rational number, as I stated in the beginning. Therefore, ab is irrational.
Answer: A
Step-by-step explanation:
Multiplying an irrational number by a rational number will always be an irrational number because irrational numbers do not repeat and terminate.
So for example multiplying pi by a rational like two you will have an irrational number because pi is an irrational number.
[tex]\pi * 2[/tex] = 6.28318530718 as you could see that is an irrational number because there is no repetition or termination.
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Answer:
B
Step-by-step explanation:
Subtitution method:
y=6x-4 (1)
y=7x-7 (2)
subtitute 7x-7 into (1) because both y1 and y2 are same
7x-7=6x-4
7x-6x=-4+7
x=3
subtitute x=3 into any equation
eg: y=6x-4 y=7x-7
=6(3)-4 or =7(3)-7
=14 =14
Therefore, The answer is (3,14)
Answer:A
Step-by-step explanation: It is a because you should trust me
If a rectangle has an area of 200 square inches and the height is 25 inches what is the length of the missing base
We know that [tex]A=hl[/tex]. Given [tex]A[/tex] and [tex]h[/tex] we can find [tex]l[/tex].
How? Well here is a procedure.
[tex]
A=hl \\
\frac{A}{h} = \frac{hl}{h} \\
\frac{A}{h} = l \\
l=\frac{200}{25}=\boxed{8\mathrm{in}}
[/tex]
Hope this helps.
The graph of a system of equations is shown below.which ordered pair is the best estimate for the solution to the system of equations?
A) (-6,-2)
B) (-3,2)
C) (4,-4)
D) (6,8)
Answer:
B. (-3, 2)
Step-by-step explanation:
The solution is given by the coordinates of the point where the lines intersect.
From the graph we see that it is the point where x = -3 and y = 2.
6. If Scott Hoff has a balance of $429.50 on a credit card that charges a finance charge computed at 2.5%, what is the
new balance? Round your answer to the nearest cent.
A $432.00
B $486.98
IC $440.24
D $455.35
HELP PLS WHATS THE SOLUTION
Answer:
C.440.24
Step-by-step explanation:
To get the new balance first multiply the extra balance
[tex]\frac{2.5}{100}*429.50[/tex]
[tex]\frac{1073.75}{100}[/tex]
[tex]10.7375[/tex]
so add the new balance to 429.50
429.50+10.7375=440.2375=440.24
Answer:
C. $440.24
Step-by-step explanation:
Multiply 0.025 (the decimal form of 2.5%) to 429.50:
429.50 · 0.025 = 10.7375
Then add the sum to the original balance:
429.50 + 10.7375 = 440.2375
Round to nearest hundredth:
440.24
A flag pole that is 20 feet tall casts a shadow 8 feet long.
At the same time of day, a building casts a shadow 25
feet long. How tall is the building?
Answer:
62.5 ft
Step-by-step explanation:
→You can set up a proportion, like so:
[tex]\frac{20}{8} =\frac{x}{25}[/tex]
→Cross multiply:
[tex]\frac{500}{8x}[/tex]
→Divide 500 by 8:
x = 62.5
Answer:
62.5 feet
Step-by-step explanation:
8/20
25/x
25*20/8 = x
x = 62.5
Find the missing height
Answer:
h = 39.8 inches
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h
We know the diameter d = 32 so the radius is 1/2 of the diameter
r = d/2=32/2 = 16
32000 = pi (16)^2 h
32000 = 256 ( pi) h
Divide each side by 256 pi
32000 / 256 pi = h
125/pi = h
Using 3.14 for pi
39.8089172 = h
Rounding to the nearest tenth
h = 39.8 inches
which linear inequality is represented by the graph?
Answer:
A
Step-by-step explanation:
y-int. = 2
Slope m= rise/run = 1/2
The line has an equation y = (1/2)x +2
Shading is under the line, so y≤(1/2)x +2. Answer is A.
The graph of f(x) = (0.5) is replaced by the graph of g(x) = (0.5)* - k. If g(x) is obtained by shifting f(x) down by 3 units, then what is the value of k?
Ok=-3
Oka-
O
OK= 1/3
Ok = 3
Answer:
[tex]k = 3[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 0.5x[/tex]
[tex]g(x) = 0.5x - k[/tex]
Required
[tex]Find\ k[/tex]
Initial expression of f(x) is [tex]f(x) = 0.5x[/tex]
From the question; we understand that f(x) was shifted down by 3 units;
This implies that
[tex]New\ f(x) = 0.5x - 3[/tex]
Also from the question; we understand that this new f(x) is equivalent to g(x);
In other words;
[tex]New\ f(x) = g(x)[/tex]
Substitute[tex]New\ f(x) = 0.5x - 3[/tex] and [tex]g(x) = 0.5x - k[/tex]
This gives
[tex]0.5x - 3 = 0.5x - k[/tex]
Subtract 0.5x to both sides
[tex]0.5x - 3 - 0.5x = 0.5x - k - 0.5x[/tex]
Rearrange
[tex]0.5x - 0.5x - 3 = 0.5x - 0.5x- k[/tex]
[tex]-3 = -k[/tex]
Multiply both sides by -1
[tex]-3 * -1 = -k *-1[/tex]
[tex]3 = k[/tex]
[tex]k = 3[/tex]
what is the slope of the line that contains the points (2,6) and (-1,-6)?
Answer:
4
Step-by-step explanation:
6 --6=12
2--1=3
12/3=4
Is the answer a? If not can someone explain
Answer:
c . Quadratic binomial
Step-by-step explanation:
a qudratic expression is always in form of ax²+bx + c while a quadratic trinomial is in the form of ax³+bx²+cx+d .
I hope it helps
Answer:
c.) quadratic binomial
Step-by-step explanation:
Quadratic equation:
ax² + bx + c
The polynomial is in this form and like all quadratics forms a parabola, a u-shape, when graphed. Therefore, it is a quadratic equation.
Binomial = an expression with two terms
This polynomial has three terms: x², and 5x, making it a quadratic binomial.
Write the slope intercept form through: (5,1) and(2, -2)
Answer:
The slope of line passes (x1, y1) and (x2, y2) could be calculated by:
slope = (y2 - y1)/(x2 - x1)
=>A line passes (5, 1) and (2, -2) has the slope:
slope = (-2 - 1)/(2 - 5) = (-3)/(-3) = 1
Hope this helps!
:)
Find the measurement of both complementary angles, if:
c
They are equal.
Answer:
Complementary angles add to 90 degrees.
If they are equal, each angle is 45 degrees.
Step-by-step explanation:
If the largest value in a data set is 12 and the range is 3, what is the smallest value in the set?
So the smallest value in the set is 9.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Please help me!!
You eat 2 slices of a 14-inch pizza which totals 34 square inches. At what angle were the pizza slices cut? Show your work. Round your answer to the nearest whole number.
The angle at which the pizza slices were cut would be 39.75°. The round-off to the nearest whole number would be 40°.
To find out the angle at which the pizza slices were cut, we need to first find out the angle of each slice of the pizza.
As per the question,
The total area of the pizza= 34 square inch
The total angle of the pizza= 360 degrees
We already know the area of a pizza= [tex]\pi r^2[/tex]
[tex]\pi[/tex]= 3.14
The diameter of the pizza, given= 14 inch
Therefore, the radius of the pizza= 7 inch
Area of the pizza= [tex]3.14*7^2[/tex]
=153.94
Now, the angle of the slice can be determined by:
The angle of the slices= (Area of each slice/Area of the pizza)* Total angle
The angle of the slices= (34/153.94)*360
=79.51
Since you ate 2 slices,
the angle of one slice = 79.51/2
=39.75 or the round-off would be 40.
Therefore, the angle at which the pizza slices were cut is 40°.
To know more about areas,
https://brainly.com/question/25292087
https://brainly.com/question/14068861
PLEASE HELP ME!!!
1) Lakisha wants to buy some bitcoins. The exchange rate is $1 USD to 0.003 bitcoin. How many bitcoins can she buy with $400?
Enter your answer as a decimal, for example: 4.6
Answer:
1.2
Step-by-step explanation:
She bought 1.2 bitcoins in $400.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that,
Number of bitcoins in $1 USD = 0.003
The to find the number of bitcoins in $400
We just multiply 400 by the number of bitcoin bought in 1 $1 USD
Therefore,
The number of bitcoin she bought in $400 is,
= 400 x 0.003
= 1.2
Thus,
Number of bitcoins in $400 = 1.2
Learn more about the ratio visit:
https://brainly.com/question/12024093
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the ratio of the cost of one meter of polyester fabric to the cost of one meter of one silk is 2:9 complete the table of costs
Answer:
Polyester Fabric = 4 || 8 || 16 || 22
Silk Fabric = 18 || 36 || 72 || 99
Step-by-step explanation:
Given:
The above table
Ratio; Polyester Fabric : Silk = 2:9
Required
Complete the above table
Provided that the ratio of the cost of one meter of polyester fabric to the cost of one meter of one silk is 2:9;
To complete rows of polyester fabric
We simply multiply cost by ratio of polyester fabric ratio (2)
To complete rows of silk fabric
We simply multiply cost by ratio of silk fabric ratio (9)
This is as follows:
When length = 2m
Polyester Fabric = 2 * 2 = 4
Silk Fabric = 2 * 9 = 18
When length = 4m
Polyester Fabric = 4 * 2 = 8
Silk Fabric = 4 * 9 = 36
When length = 8m
Polyester Fabric = 8 * 2 = 16
Silk Fabric = 8 * 9 = 72
When length = 11m
Polyester Fabric = 11 * 2 = 22
Silk Fabric = 11 * 9 = 99
Hence, the complete table is as follows:
Polyester Fabric = 4 || 8 || 16 || 22
Silk Fabric = 18 || 36 || 72 || 99
Help pls thank youuuu!
Answer:
It is A again.
Step-by-step explanation:
Equation given:
[tex]F=kx-kx_{0}[/tex]
We have to isolate [tex]x[/tex]
[tex]F+kx_{0}=kx[/tex]
Divide both sides by [tex]k[/tex]
[tex]$\frac{F+k_{0}}{k}=x$[/tex]
Find the surface area. Show work
3. If x = 6, y = -2, and z = 3, what is the
value of the following expression?
(x2 + xy)/z2
a. 2
b. 19
C. 2
d. 6
2x + 3y = 36, when y = 6?
Answer:
x=9
Step-by-step explanation:
2x+3(6)=36
2x+18=36
2x=18
x=9
Answer:
x=9
Step-by-step explanation:
if y=6 its now 2x + 18 =36. Subtract 18 from both sides. 2x = 18. 2(9) = 18. Therefore x=9
