Geometric progression, first term 5, common ratio 3.
Answer: 5, 15, 45, 135
2.25x = 1.5x + 6
What is the value of x
Answer:
x=8
Step-by-step explanation:
2.25x=1.5x+6
-1.5x -1.5x
0.75x=6
3/4x=6
x=6*4/3
x=24/3
x=8
Answer:
8
Step-by-step explanation:
Look at the attachment
Choose the equation of the line that is parallel to the x axis
A - x=4
B - x+y=0
C - x=y
D - y=4
Answer:
y=4
Step-by-step explanation:
The x axis is a horizontal line ( y=0)
A line parallel would also be of the form y= something and be a horizontal line
The only answer of the form y= is y=4
-2x2-x-1=0
our answer...
Answer:
_______________________________________
→ x = - 1 ± i√7 ;
4
_______________________________________
Or: Write as:
_______________________________________
→ x = -1 + i√7 ; -1 − i√7 ;
4 4
_______________________________________
Step-by-step explanation:
_______________________________________
Given:
-2x² − x − 1 = 0 ;
Solve for " x " .
________________
First, let us multiply BOTH sides of the equation by "-1" ;
to get rid of that "negative sign" in the coefficient: " -2" ;
→ as follows:
________________
-1 * {-2x² − x − 1 } = 0 *{-1} ;
_________________
Rewrite the value: "x" on the "left-hand side" of the question; as: "1x" ;
since "any value" ; multipled by "1" ; results in that same individual value:
_________________
-1 * {-2x² − 1x − 1 } = 0 *{-1} ;
________________
Note the "distributive property" of multiplication:
________________
a(b + c) = ab + ac ;
________________
Likewise, from the "left-hand side" of the equation:
-1 * {-2x² − 1x − 1 } = {-1 * -2x²} + {-1 * -1x} + {-1* -1 } ;
= 2x² + 1x + 1 ;
_______________________________________
Rewrite the "left-hand side" of the equation:
2x² + 1x + 1 ;
Now, the "right-hand side of the equation:
" { 0 * -1 } = 0 " .
Now, rewrite the entire equation:
2x² + 1x + 1 = 0 ;
________________
Note: This equation is written in "quadratic format" ;
that is: " ax² + bx + c " ; [a ≠ 0] ;
→ in which:
a = 2 ; b = 1 ; c = 1 ;
________________
→ which means we can solve for the value(s) for "x" ; by using the
"quadratic equation formula" ;
→ that is:
________________
→ x = -b ± √(b² − 4ac) ;
2a
________________
So; to solve for the values for "x" ; we substitute our known values for:
"a" ; "b" ; and "c" ; and solve:
________________
→ x = -1 ± √(1² − 4*2 *1) ;
4
_________________________
→ x = -1 ± √(1 − 8) ;
4
_________________________
→ x = -1 ± √(-7) ;
4
_________________________
Note: "√(-7)" ; is the square root of a negative number.
Note that we use the lower case letter, " i " ;
as a symbol to represent the imaginary number: " √(-1) " .
This is an "imaginary number" ; since one cannot take the "square root" of a "number lower than zero."
So, we write: √-7 ; as: " i * 7 " ; or, just: " i √7 " ; since:
"i = √-1" ; and since: " √-7" would "factor out" to: "√7 * √-1 " .
_________________________
Note: In the mainstream U.S.A. , the concept of " i " as the "imaginary number" — " √-1 " ; is usually introduced in the second year college-prep algebra class (after "first year high school algebra" in 9th grade; and after "geometry" in 10th grade).
_________________________
So; we have:
→ x = -1 ± √(-7) ;
4
___________
We can rewrite this as:
____________
→ x = -1 ± i√7 ;
4
_____________
We can leave our answer written like that.
We have two (2) solutions—so we can also write out both solutions for the value of x:
_____________
→ x = -1 + i√7 ; -1 + i√7 ;
4 4
_____________________________________________
Hope this explanation is helpful to you!
Best of luck— and best wishes!
_____________________________________________
Mrs Andrews had 1 2/8 pizzas left after her pizza party.After giving some to mr.Andrews,she had 6/8 left.What fraction of the pizza did she give to mr.Andrews?Use the fraction models to help you solve the problem.
Answer: 4/8
Step-by-step explanation:
From the question, Mrs Andrews had 1 2/8 pizzas left after her party and after giving some to Mr Andrews, she then had 6/8 left.
To know the fraction given to Mr Andrews, we subtract 6/8 from 1 2/8. This will be:
= 1 2/8 - 6/8
= 4/8
She gave 4/8 to Mr Andrews.
If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters
Answer:
A = pi (15)^2
Step-by-step explanation:
The diameter is 30
The radius is 1/2 of the diameter
r = d/2 =30/2 = 15
The area of a circle is
A = pi r^2
A = pi (15)^2
A = 225 pi
Answer:B
Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.
Which ordered pair is a solution of the equation?
y=3x+5y=3x+5
Answer:
I'm not sure, but maybe try
[tex](1, -\frac{3}{4} ) or (2,- \frac{3}{2})[/tex]
Plz click the Thanks button!
<Jayla>
Answer:
The answer to y=3x+5 is Only(2,110
What is the value of x
Answer:
x=8 cm
Step-by-step explanation:
a + b2 = c2
6 squared + b = 10 squared
36 + b = 100
b=100-36
b=64 squared = 8
Answer:
The answer is 8.
6 squared plus b is equal to 100 squared, and all you have to do is simplify the equation nd find the square root of the answer.
ession r' - (3+2)
(3 + 2)2 for 2 = 4.
Answer:
Step-by-step explanation:
idk im aooy
I NEED HELP ASAP!!! Suppose a study shows that 1 out of 287 computers are hacked. If a company has 8,564 computers, how many are not likely to be hacked? Round your answer to the nearest whole number
Answer: 30 computers.
Step-by-step explanation: Just divide the total amount of computer by the probability, which is 287. then you get 29.83, after that just round to the nearest whole number.
Answer:
8534
Step-by-step explanation:
8564/287=29.8 rounded is 30 so 8564-30=8534 if i am wrong sorry
You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 555 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?
Answer:
There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.
Help, slope- intercept intro
Answer:
4 is the slope
Step-by-step explanation:
y = -5+4x
We know the slope intercept form is
y = mx+b
where m is the slope and b is the y intercept
y = 4x-5
where 4 is the slope and -5 is the y intercept
can someone help me with this question
Answer:
Female:
Total 26
Male:
Rovers 9
City 8
Total 24
Total (along the bottom):
Rovers 20
United 10
Find the value of the variables for each set or similar figures
Answer:
3
Step-by-step explanation:
convert 0.528 to a percent
Answer:
52.8%
Step-by-step explanation:
To convert a decimal to a percent, you simply need to multiply the decimal by 100. This is because a percent is a fraction of 100. Therefore, since 0.528*100=52.8, the answer is 52.8%. Hope this helps!
Percentage form of number 0.528 is,
⇒ 52.8%
We have to given that;
To convert 0.528 into a percent.
Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Hence, We can change into a percent as,
⇒ 0.528
⇒ 0.528 x 100%
⇒ 52.8%
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When there is a 20.1 mihr wind, an airplane can fly 630 mi with the wind in the same time that it can fly 521 mi against the wind. Find the speed of the plane when there is no wind.
Answer:
the speed of the plane when there is no wind is 212.25 mi/hr
Step-by-step explanation:
Let v represent the speed of the plane without wind.
Wind speed = 20.1 mi/hr
The resultant speed with wind is;
v + 20.1 mi/hr
The resultant speed against wind is;
v - 20.1 mi/hr
Let t represent the time for the travel.
With wind;
(v+20.1)t = 630 ......1
Against wind;
(v-20.1)t = 521 ......2
Divide equation 1 by 2
(v+20.1)/(v-20.1) = 630/521
Cross multiply;
521(v+20.1) = 630(v-20.1)
Collecting like terms;
v(630-521) = 20.1(630+521)
v = 20.1(1151)/109
v = 212.25 mi/hr
the speed of the plane when there is no wind is 212.25 mi/hr
Which equation could be used to calculate the sum of the geometric series?
One-third + two-ninths + StartFraction 4 Over 27 EndFraction + StartFraction 8 Over 81 EndFraction + StartFraction 16 Over 243 EndFraction
Answer:
A
Step-by-step explanation:
edge 2020
Answer:
its A
Step-by-step explanation:
Can someone tell me if I’m right? I put the 80 under 8
And the rule is 3, if I’m wrong please help me
Answer:
80
4
Step-by-step explanation:
You are correct in placing 80 in the box in the table. If you examine the table and the pattern, you'll see that as the number of marbles increases by 10, the weight of the bags increases by 40.
We can determine the rule by dividing 40 by 10: 40 ÷ 10 = 4.
So, the rule is actually to divide the weight of the bag by 4 to find the number of marbles.
Note that this is likely because each marble is 4 grams.
Answer:
No, the answer is to divide by 4
Step-by-step explanation:
You're so close, but if you look closely 320/3=106.67. However, 320/4=80. And if you look at the other choices, it applies to all of them. 40/4=10 , 80/4=20 , 120/4=30 , and 160/4=40.
Hope this help!!!
The price of one share of a company declined $3.50 per day for 4 days in a row. What is the overall change in the price of one share? You may find using a number line to be helpful.
The overall change in the price of one share is
dollars.
Answer: 14
Step-by-step explanation:
3.5x4=14
The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV?
Answer: 0.75
Step-by-step explanation: just had the question on usa tp
what is the area of the following circle
Answer: 25 pi
Step-by-step explanation:
Baby is planning to put a square garden with an area of 200 square feet in her back yard estimate the length of each side of the garden to the nearest whole number
Answer:
The correct answer will be 14
Step-by-step explanation:
I am 100% sure!!! Hope this helps.
PLEASE GIVE BRAINIEST!!!
The requried measure of the length of the garden is given as 14.14 feet.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Baby is planning to put a square garden with an area of 200 square feet
Let the side length be x,
according to the question,
Area of the square = 200
x² = 200
x = 14.14 feet
Thus, the requried measure of the length of the garden is given as 14.14 feet.
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On Saturday, Lukas drove 4x – 5 miles. On Sunday, he drove 3x – 10 miles. What is the difference in miles driven?
A. x + 15
B. x – 5
C. x + 5
D. x – 15
Answer:
C
Step-by-step explanation:
(4x-5) - (3x-10) = ?
(4x-5) - 1 (3x-10) = ? DISTRIBUTE THE INVISIBLE -1 to (3x-10)
Turns into: 4x - 5 - 3x + 10
Which equals: x + 5
Answer:
c
Step-by-step explanation:
Find the perimeter of the figure.
1 in
1 in
3 in
5 in
3 in
Answer:
13 in
Step-by-step explanation:
add them all because its says perimeter
Answer: 13 in.
Step-by-step explanation: 1+1+3+5+3 = 13
The point-slope form of a line that has a slope of
and passes through the point (3, 0) is shown.
y -0 =3(2-3)
What is the equation in slope-intercept form?
A. y=1/4x-3
B. y=1/4x3/4
C. y=3/4x-1/4
D. y=1/4x-1/12
20 is what percent of 60
Answer:
30%
Step-by-step explanation:
Answer:
33.333333333333%
Step-by-step explanation:
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.
The height and width of the box shipped is 15 and 8 inches respectively.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2( lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, The width of the box is seven inches less than the height.
Assuming the width to be 'w' hence the height(h) = w + 7 and has a length of 24 inches with a volume of 2880 cubic inches.
We know the volume(V) of a cuboid is l×w×h.
Therefore,
24×w×(w + 7) = 2880.
24w(w + 7) = 2880.
24w² + 168w = 2880.
6w² + 42w = 720.
w² + 7w = 120.
w² + 7w - 120 = 0.
w² + 15w - 8w - 120 = 0.
w(w + 15) - 8(w + 15) = 0.
(w + 15)(w - 8) = 0.
w = 8 and hence h = 8 = 7 = 15.
So, the width and height of the box is 8 and 15 inches respectively.
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Definition of scale factor
Answer:
A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.
Step-by-step explanation:
is this good?
Answer: In two similar geometric figures, the ratio of their corresponding sides is called the scale factor. To find the scale factor, locate two corresponding sides, one on each figure.
Step-by-step explanation:
HELP PLSS ANYONE? I'VE TO SUBMIT ASAP
x =14
Answer:
[tex] m\angle ABC = 51°[/tex]
Step-by-step explanation:
11. By inscribed angle theorem:
[tex] 83°=\frac{1}{2} \times (9x+40)°\\\\
83°\times 2 = (9x+40)°\\
166°= (9x+40)°\\
166 = 9x + 40\\
166 - 40 = 9x\\
126 = 9x\\\\
x = \frac{126}{9}\\\\
\huge \red {\boxed {x = 14}} [/tex]
12. Again by inscribed angle theorem:
[tex] (5x+11)°=\frac{1}{2} \times (16x-26)°\\\\
2\times (5x+11)°= (16x-26)°\\
(10x+22)°= (16x-26)°\\
10x + 22 = 16x - 26\\
22+26 = 16x - 10x\\
48= 6x\\\\
x = \frac{48}{6}\\\\
\huge \purple{\boxed {x = 8}}\\
m\angle ABC = (5x+11)°\\
m\angle ABC = (5\times 8+11)°\\
m\angle ABC = (40+11)°\\
\huge \orange{\boxed {m\angle ABC = 51°}} \\
[/tex]
The total time T (in hours) needed to fly from New York to Los Angeles and back can be
modeled by the equation below, where d is the distance (in miles) each way, a is the average
speed (in miles per hour), and j is the average speed (in miles per hour) of the jet stream.
Simplify the equation. Then find the total time to the nearest minute it takes to fly 2468 miles
when a = 512 miles per hour and j = 103 miles per hour.
Answer:
complicated process just think and do the math If I was helpful pls be thnked
Step-by-step explanation:
A rectangle has a height of 3 and a width of 3x^2+4x . Express the area of the entire rectangle.
Answer:
лдшзщщго
Step-by-step explanation:
Answer: 20x^2 -10x-30
Step-by-step explanation: