First find the common ratio of this geometric sequence.
We will use [tex]r = \frac{a2 }{a1 }[/tex].
The second term is 21 and the first term is 7.
So we have [tex]\frac{21}{7}[/tex] and this reduces to [tex]\frac{3}{1}[/tex] or 3.
So, we take the last term in our geometric sequence
and multiply it by the common ratio we just found.
So we have 63 · 3 which is 189.
So the next term in this geometric sequence is 189.
Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. She wants to increase the area to 168 ft by increasing
the width and length by the same amount, X.
Which equation can be used to find x?
Answer:
Increasing both by the same amount of 2
Step-by-step explanation:
10 times 12=120,
and 11 times 13=143,
but 12 times 14 =168
An equation is formed of two equal expressions. The equation that can be used to find the value of x is x²+22x-168=0.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. Now, she needs to increase the area by 168 ft, that too by increasing the width and length by the same amount. Therefore, the equation can be written as,
[tex](10+x) \times (12+x) = (10 \times 12) + 168\\\\120 + 10x+ 12x +x ^2 = 120+168\\\\120 + 22x+x^2=120+168\\\\x^2+22x-168 = 0[/tex]
Hence, the equation that can be used to find the value of x is x²+22x-168=0.
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If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest should be compounded. A. $5,805.96 B. $6,502.34 C. $6,584.91
Answer:
C.) $6,584.91
Step-by-step explanation:
Amount earned in compound interest = P(1 + r)^n;
where P is the principal,
r is the rate and n is the number of periods.
Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91
Answer:
C) 6584.91
Step-by-step explanation:
plato
tEN Percent of $4.30
Answer:
0.43
Step-by-step explanation:
We can move the decimal to the left if it is ten percent multiplied and we see here that we multiply the 10 percent.
Answer:
.43
Step-by-step explanation:
ten percent of 4.30
10% * 4.30
Change to decimal form
.10 * 4.30
.43
Find the center and the radius of the circle with the equation:
x2 + 2x + y2 - 2y - 14 = 0
Answer:
B
Step-by-step explanation:
edg 2021
In the diagram of circle A, what is m angle LMN?
О 75°
O90°
О 120°
135°
ОО
Answer:
90
Step-by-step explanation:
Angle Formed Outside = 1/2(DIFFERENCE of Intercepted Arcs)
ARC LN = 360 - 270 =90
LMN = 1/2(270 -90)
= 1/2 (180)
= 90
Answer:
90
Step-by-step explanation:
Math homework, don't get it please explan!
Answer:
-1/2
Step-by-step explanation:
The slope of the line is y=mx+b. when searching for the slope of a line you take where the line crosses EXACTLY on two points, for this grid it would be (0,3) and (2,2) based off this you see that you Rise 1 and Run 2. rise and run is how you find the formula for slope, since the line is going from the left side of the graph to the right (in a downward motion) the overall direction of the line is negative. now you plug in the answer to the formula given, y=-1/2x+3, the +3 or b in the formula is where the line intersects the y axis. this can be negative or positive. the slope can also be taken from the formula, -1/2for more explanation or questions ask please!
Answer this y’all I pray y’all answer this please
Answer:
A) a(x^2+ b/a x)+ -c
Step-by-step explanation:
Answer:like the first person it is option 1
Plz Help!
On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(20, 10), R(−20, 10), S(−20, −20), and T(20, −20), and represents the floor plan of a room. Find the perimeter and area of the room.
Answer:
P 140 units
A 1200 units^2
Step-by-step explanation:
The length of the rectangle is 20 to -20 = 20 - -20 = 40 units
The width of the rectangle is 20 to -10 = 20 - -10 = 30 units
The perimeter is given by
P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units
The area is given by
A = lw = 40*30 = 1200 units^2
Please help with this
Answer:
A. x = 5, -3
Step-by-step explanation:
The quadratic equation/formula is:
[tex]x = \frac{-b+- \sqrt{b^2 - 4ac} }{2a}[/tex]
The setup is:
[tex]ax^2+bx+c=0[/tex]
[tex]4x^2 - 8x -60=0[/tex]
Plug in the numbers according to the letter associated:
[tex]x = \frac{8+-\sqrt{-8^2-4(4)(-60)} }{2(4)}[/tex]
[tex]x = \frac{8+-\sqrt{1024} }{8}[/tex]
[tex]x = \frac{8+-32}{8}[/tex]
Solve for addition and subtraction:
[tex]x = \frac{8+32}{8}[/tex] [tex]x = \frac{8-32}{8}[/tex]
[tex]x = \frac{40}{8}[/tex] [tex]x = \frac{-24}{8}[/tex]
x = 5 x = -3
There are 8 carrots. Four friends take 2 carrots each. What fraction of the carrots
does each friend take?
Type the answer in the boxes.
Answer:
1/4
Step-by-step explanation:
8 divided by 2= 0.25=1/4
The fraction of the carrots that each friend takes will be 1/4 part.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
There are 8 carrots. Four companions take 2 carrots each.
The fraction of the carrots that each friend takes will be given as,
⇒ 2/8
Simplify the fraction, then we have
⇒ 2/8
⇒ 1/4
The small portion of the carrots that every companion takes will be 1/4 section.
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Calculate:|a|−|b|+|c|, if a=−8; b=−5; c=1
Answer:
The answer is 4.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
|x| just means positive x so the equation turns into 8-5+1
8-5 = 3
3+1 = 4
Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same
Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.
Step-by-step explanation:
Club A can be represented by the equation y = 23x + 7 where x is the number of months and y is the cost.
Club B can be represented by the equation y = 16x + 35 where x is the number of months and y is the cost.
23x + 7 = 16x + 35 set the equation equal each other to solve for x
-7 -7
23x = 16x + 28
-16x -16x
7x= 28
x= 4 now we know the value of x is 4 so we will put it into the equation and solve for y
y= 16(4) + 35
y= 99
Find the value of x. Will mark brainliest.
Answer:
15
Step-by-step explanation:
Because this figure is a parallelogram, the diagonals bisect each other. This means that the diagonals cut each other perfectly in half, meaning that x and 15 have the same value. Hope this helps!
Step-by-step explanation:
I think its 5 for x if you do 15/3=5 I think
In the figure a pair of parallel lines is cut by a transversal. What is the measure of angle c if the measure of angle b is 35 degrees?
Answer:
145
Step-by-step explanation:
There are a lot of ways to do this, the simplest is that c and b are two angles on a straight line which means they add up to 180
180-35= 145
287 times what equals to 3,400
Answer:
11.85
Step-by-step explanation:
Answer: 11.8466898955
sorry it is such a weird number. That is just the facts.
What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x
Answer:
d. 2x^2-8x
Step-by-step explanation:
ure just doing distributive property.
The product of 2x(x-4) is 2x² - 8x
HOW TO OPEN BRACKET?In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.
According to this question, we are given the following expression: 2x(x-4)
This means that 2x multiples x and -4 independently.
That is; 2x × x and 2x × -4
2x² - 8x
Therefore, the product of 2x(x-4) is 2x² - 8x.
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If (2 - 3) + (x + y) = 6, what is x + y?
4 + 3
B.
4-31
C.
-4 - 31
-4+ 37
4x + 37
Find the area. Will mark brainliest.
Answer:
21 sq ft :) 20 characters long
DescriptionIn mathematics, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space. The conjecture states: Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
Am I right
Camila has x quarters and y dimes. She has no less than 20 coins worth no more
than $4 combined. Solve this system of inequalities graphically and determine one
possible solution.
Calculate the probability for the following situation, then select the correct answer:
You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card less than 10 (assume the ace is equal to 1) from the deck?
Choose one
19.23%
17.31%
15.38%
The correct answer is not provided.
Answer:
17.31%
Step-by-step explanation:
1/2 * 1/2 *9/13
50% chance to get heads, 50% chance to get an odd number, 9/13 odds to get a number less than 10 (1, 2, 3, 4, 5, 6, 7, 8, 9).
Answer:
15.38%
Step-by-step explanation:
PLZ I NEED HELP ASAP
Evaluate 5/6 ÷(a+b) for a= 1/2 and b=− 2/3 . Record the answer in the simplest form.
Answer:
-5
Step-by-step explanation:
make the decimals have the same bottom by mutiplying by 3 in the top and the bottom. and not adding the bottms to make 12 instead stay at 6. Add. then you can easliy divide from there. using the keep change flip.
Answer:
-5
Step-by-step explanation:
make the decimals have the same bottom by multiplying by 3 in the top and the bottom. and not adding the bottoms to make 12 instead stay at 6. Add. then you can easily divide from there. using the keep change flip.
find the equation of the line in slope-intercept form that has
slope = -1/2 y-intercept = 6
Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).
Answer:
7/2 , -1/2
Step-by-step explanation:
Midpoint of line formula :
X1 + X2/ 2 , Y1 + Y2 / 2
= -2+9/2 , 0 - 1 / 2
= 7/2 , -1/ 2
The midpoint of the line segment with endpoints (-2,0) & (9,-1) will be (7 / 2, -1 / 2).
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB.
Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The endpoints are given below.
(-2,0) & (9,-1)
Then the midpoint of the line segment with endpoints (-2,0) & (9,-1) will be
(x, y) = [(-2 + 9) / 2, (0 - 1) / 2]
(x, y) = [7 / 2, -1 / 2]
Thus, the midpoint of the line segment with endpoints (-2,0) & (9,-1) will be (7 / 2, -1 / 2).
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What’s this answer?
Answer:
x=2, y=1
Step-by-step explanation:
The left and right sides are equal
7x-2 = 5x+2
Subtract 5x from each side
7x -5x-2 = 5x-5x+2
2x-2 = 2
Add 2 to each side
2x -2+2 = 2+2
2x = 4
Divide by 2
2x/2 = 4/2
x =2
The top and the bottom are the same length
6x+y = 7x-1
6(2) +y = 7(2)-1
12 +y = 14-1
Subtract 12 from each side
12 +y-12 = 13-12
y = 1
true or false a survey is the only way to collect date
Answer:
False and also the last word is data not date.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
A garden measuring 12 meters by 6 meters is going to have a walkway constructed all around the perimeter, increasing the total area to 160 square meters. What will be the width of the pathway? (The pathway will be the same width around the entire garden).
Pls Show Work
Answer:
Width of Pathway; 2 meters
Step-by-step explanation:
To determine the width of the pathway we can tell that the length of the ends ( in meters ) is distributed among the two other ends of the garden so that the width ⇒
Increase length on one side * 2, if increased length / width ⇒ x, 2x
From this we can formulate an equation based on the lengths of the garden, as the increased lengths represents the side lengths of the total area ( walkway + garden );
( 12 + 2x )( 6 + 2x ) = 160 ⇒ Expand,
72 + 36x + 4x^2 = 160 ⇒ Subtract 160 on either side,
4x^2 + 36x - 88 = 0 ⇒ Factor,
4 * ( x - 2 ) * ( x + 11 ) = 0 ⇒ Use Zero Factor Principle,
x = 2, and x = - 11;
Now the width can only be a positive value, thus;
Solution; Width ⇒ 2 meters
What is the domain of the following parabola? (5 points)
3
-2
-1/
x
1
xs1
All real numbers
ys2
Answer:
Step-by-step explanation:
The domain of this quadratic is "all real numbers." The function is defined for all x.
The slopes of perpendicular lines are
A. equal
B. negative reciprocals
C. reciprocals
D. opposites
Answer:
B: Negative Reciprocals.
Find the area of the equilateral triangle
Answer:
An equilateral triangle can be defined as a special type of triangle whose all the sides and internal angles are equal. In an equilateral triangle, the measure of internal angles is 60 degrees.
Step-by-step explanation:
