Answer:
7.28 × 1013
Step-by-step explanation:
The standard form of a number is introduced to avoid the difficulty of reading the large numbers. Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10.
Write the equation x2 + 24x + 60 = 0 in the form (x + p)2 = q.
A. (x + 12)2 = –60
B. (x + 12)2 = 84
C. (x + 12)2 = 204
D. (x + 6)2 = –24
The Answer is
A.(x+12)2 = -60
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The formula for (a + b)² = a² + 2ab + b²
The equation x² + 24x + 60 = 0 in the form (x + p)² = q is
(x + 12)² = 84
Option A is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
x² + 24x + 60 = 0
We can write this as,
x² + 2 x 12 x (x) + 60 = 0
The formula for (a + b)² = a² + 2ab + b²
Add 144 on both sides.
x² + 2 x 12 x (x) + 60 + 144 = 0 + 144
x² + 2 x 12 x (x) + 144 + 60 = 144
[ 12² = 144 ]
Subtract 60 on both sides.
x² + 2 x 12 x (x) + 144 = 144 - 60
x² + 2 x 12 x (x) + 12² = 84
(x + 12)² = 84
Thus,
The equation x² + 24x + 60 = 0 in the form (x + p)² = q is
(x + 12)² = 84
Option A is the correct answer.
Learn more about equations here:
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what is the simplified radical to this question (32x)6/5
A family pays for 50 MB of internet connectivity for downloads. When measuring their internet speed, a family member observed a maximum speed of 35 MB. By what percentage is the measured speed different from the advertised speed?
PLS HELP
Answer:
its 70% of the speed they expected
Classify the polynomial according to its degree and number of terms.
9
constant monomial
sixth-degree monomial
linear binomial
sixth-degree binomial
Answer:
constant monomial
Step-by-step explanation:
The polynomial, 9, has 1 term and its degree is 0. Therefore, the polynomial is a constant monomial.
The given expression is a constant monomial. Therefore, option A is the correct answer.
What is the polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.
Here given expression is 9.
A constant monomial is a term with only a constant number. There is no variable in a constant monomial.
So, 9 is a constant monomial.
The given expression is a constant monomial. Therefore, option A is the correct answer.
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round 164.58 to the nearest whole number.
gimmy had i apple. his sister gave him another one. how many dose gimmy have in all
Answer:
2 apples : )
Step-by-step explanation:
What is the value of x and the length of the segment?
Answer:
x=14
PN=MN=85
Step-by-step explanation:
It is an isosceles triangle because PQ=MQ and QN is perpendicular to PM. PN=MN
8x-27=6x+1
2x=28
x=14
PN=MN=85
Answer:
[tex] \huge \: x = 14 \:and\: \small\\ the\: length\: of\: the\: segment\: is \:85[/tex]Step-by-step explanation:
to understand thisyou need to know about:triangles congruencyequationPEMDAStips and formulas:when two triangles are congruent the included angles and sides of the triangles are equalPN=MNlet's solve:[tex]step - 1 : define[/tex][tex]8 x- 27 = 6x + 1[/tex]
[tex]step - 2 : solve[/tex][tex]add \: 27 \: to \: both \: sides \\ 8x - 27 + 27 = 6x + 1 + 27 \\ 8x = 6x + 28[/tex][tex]cancel \: 6x \: from \: both \: sides \\ 8x - 6x = 6x - 6x + 28 \\ 8x = 28[/tex][tex]divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{28}{2} \\ x = 14[/tex]the length of the segment is8x-27
8.14-27
85
Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after 7 years?
Step-by-step explanation:
step 1. Let's call the amount of money A.
step 2. A = A¡e^(rt) (continuously compounding equation)
step 3. A = A¡e^(rt). A¡ = initial amount. r = rate, t = time.
step 4. A = 2200e^((.053)(7)
step 5. A = $3188.20
please help me on this will give you brainliest!!
Answer: 2n - 64
Step-by-step explanation:
If the vairiable n describes the unknown number, and there is twice the number, then we can use the term 2n.
We also have 64 less then that number, and less means to subtract. Therefore, the equation is 2n - 64.
Answer:
2n-64
Step-by-step explanation:
I believe this is the correct answer (Not exactly sure to be honest)
Twice a number means to multiply by 2, so you use the variable (n) and multiply it by 2. For subtracting 64, I believe you usually put it after the (2n) portion of the equation. You may have to flip it though, equation order is important and it's been a while since I've done these so apologies if it's wrong! Good Luck!
580 books were delivered to a warehouse and 29 were found to be damaged.
What percentage were damaged?
Answer:
I think it's would be 5%
Step-by-step explanation:
Since 29 Books are damaged we do 29/580 and then get 0.05 and multiply by 100 and get 5 percent
The measure of angle 7 is
pls help quickly
Answer:
209 degrees
Step-by-step explanation:
17. Find the value of x and y. PLEASE HELPPP!!!!
Answer:
x=30, y=5
Step-by-step explanation:
in the first triangle, with 3 congruent angles, Since their angles are congruent l, there sides are also as well. So 8y=40 y=5. This is a right triangle so angle x and the adjacent red angle both form 90 degrees. Since the red angle is a equal angular triangle. It measures 60 degrees so 60+x=90 x=30
Plz give me ans.
When.
....
Answer:
Step-by-step explanation:
Length : Breadth : height = 3 : 4 : 6
Length = 3x
Breadth = 4x
Height = 6x
Volume of cuboid = 576 sq.cm
length * breadth * height = 576
3x * 4x * 6x = 576
72x³ = 576
x³ = 576/72
x³ = 8
x³ = 2³
x = 2
Length = 3*2 = 6 cm
Breadth = 4* 2 = 8 cm
Height = 6*2 = 12 cm
Total surface area = 2*(lb + bh + hl)
= 2 * (6*8 + 8*12 + 12*6)
= 2 * (48 + 96 + 72)
= 2 * 216
= 432 sq.cm
Lisa has a circular swimming pool.
The pool has a diameter of 26 feet.
Which measurement is closest to the
circumference of the pool in feet?
A 81.64 ft
B 530.66 ft
C 163.28 ft
D 40.82 ft
Answer:
D.40.82
Step-by-step explanation:
I hope this is correct, good luck!
PLEASE HELPPPPPP
Bob and 3 friends went to the movies and spent an equal amount on a ticket and food. Each friend paid $18. How much was the total bill? Hint: b/4 = $18
A. $22
B. $6
C. $24
D. $72
Answer:
D. $72
Step-by-step explanation:
18 times 4 equals 72
Answer:
$72
Step-by-step explanation:
Multiply cost by number or friends, INCLUDING BOB, making it 4 people rather than three
18 * 4 = 72
What is the range of possible sizes for side x in triangle side lengths of 8.0 and 4.0?
Answer:
4<x<12
Step-by-step explanation:
8.0+4.0=12.0
8.0-4.0=4.0 or 4
The rules of triangles is that it must be less than the sum you had when you first added 8.0and 4.0 which was 12
So therefore , 4< x < 12
and I also got it right on khan academy lol
Write an equation in slope intercept form given m=2 and b=1
find the area of the quadrilateral triangle with side 10cm.
Help me yo
Answer:
The answer is 25√3cm²
Answer:
triangles have 3 sides. quadrilaterals have 4 sides. also, you have to know a side lenght and height of a triangle to get its area.
if ur talking about equilateral, then it would be 25√3 cm²
A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 7.5-foot-long shadow. What is the height of the flagpole?
Answer: 30 feet
Step-by-step explanation:
10 / 2.5 = 4
7.5 * 4 = 30
On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line? Why is it C???
The adding a value to x shifts the graph that many places to the left.
In g(x) you are adding 2 to x, so the graph moves 2 units to the left.
See attached image.
Answer:
c got a 100
Step-by-step explanation:
Please help (25 points)
Answer:
BD=24
Step-by-step explanation:
I assigned my unkown sides of the triangles as x and y, where x = BD and y =AD.
I used pythagoras' theorem to find expressions for the the sides of the triangles in terms of x and y.
Both expressions had the term x^2 in them, so I equated expressions of x^2
From there i rearranged to find y.
Using my value of y, I found x.
I've given you my working so I hope that helps :>
Daniel receives a 35% employee discount on all purchases he makes at the store. If he buys his brother a jersey that is regularly priced at $24.95, what price (before tax) will Daniel pay for the jersey?
ANSWER CORRECTLY AND I WILL GIVE YOU BRAINLIEST AND GET 10 POINTS
Answer:
The price to pay is $16.22
Step-by-step explanation:
From the question, the regular price is $24.95
now, there is a discount
So the price to pay is the regular minus the discount
Mathematically, we have this as:
24.95 - 35% of 24.95
= 24.95 - 0.35(24.95)
= $16.2175
This is approximately $16.22
can somebody help me please.
Answer:
x intercept = (0.3, 0)
y intercept = (0, 0.4)
Answer:
x: (0.3,0)
y: (0,0.4)
(8p2 −5p4 −2p3)+(4p3 +2p2 −2p4)
Answer: −
7p^4 + 2p^3 + 10p^2
Step-by-step explanation:
please find h and a
Answer:
h=12 + c=20
Step-by-step explanation:
a^2+b^2=c^2
9^2+h^2=15^2
15^2-9^2=h^2
225-81=h^2
144=h^2
[tex]\sqrt{144}[/tex] = h
12=h
a^2+b^2=c^2
16^2 + 12^2 = c^2
256+144=c^2
400=c^2
[tex]\sqrt{400}[/tex] = c
20=c
1. Jonah has $75 in a savings account and is putting $7 every week in the account.
Noah has $50 in his own savings account and is putting in $12 every week. At
what point will the boys have the same amount of money in their accounts?
A. at 4 weeks
B. at 5 weeks
C. at 7 weeks
D. at 12 weeks
Answer:
B
Step-by-step explanation:
write an expression equivalent to 2(2x + 2y).
Answer:
4x+4y
Step-by-step explanation:
You can write an equivalent expression by simply simplifying the expression. In order to simplify this expression, distribute the numbers.
You'll get:
(2*2x)+(2*2y) = 4x + 4y
4x + 4y is an equivalent expression.
suppose point P(4,-9) is transmitted according to rule (x,y)→(x+3,y-2),what are the coordinates of P
Answer:
p(7,-11)
that is the answer of the coordinates
Two interior angles of a triangle each measure 34. What is the measure of the third interior
angle?
564
Answer:
112
Step-by-step explanation:
The interior angles of triangles always add up to 180 so you first add the two interior angles which are already given to get 68 then after that you subtract it from 180 to get the answer of 112.
Hope this helps :) if it did pleaae mark as branliest...
38 pounds of tomatoes cost $182.40. How many pounds of tomatoes can you get for $144?
25 pounds
Answer:
30 pounds of tomatos
Step-by-step explanation:
divide 182.4 by 38 to get 4.8.
Then divide 144 by 4.8 to get the answer.