Answer:
x²-25
Step-by-step explanation:
Hi there!
We are given (x+5)(x-5) and we want to find their product.
As these are binomials, we can multiply them using FOIL, which is First, Outer, Inner, Last
So let's start with the firsts, which would be (x+5)(x-5), or the 2 x's; x*x=x²
Next, let's do the outers, which would be (x+5)(x-5); x * -5 = -5x
Now the inners; (x+5)(x-5); 5 * x = 5x
Finally, the lasts; (x+5)(x-5); 5 * -5 = -25
Now add all of these terms together:
x²-5x+5x-25
We can combine the 5x and -5x together to become x²-25
So the answer is x²-25, which is a difference of squares expression (if we have (a-b)(a+b), then the result is a²-b²).
Hope this helps! :)
See more on the difference of squares here: https://brainly.com/question/16085851
¿Cuál es la quinta parte de dos terceras de 180? HELP!!
Answer:
24 is the answer
Step-by-step explanation:
To solve this problem, we first do two thirds of 180, and then we do one fifth of the solution you got for "two thirds of 180"
[tex]\mathrm{Two\:thirds\:of\:180 = (\frac{2}{3}) 180\:\:or\:\:\frac{2}{3}\times180}[/tex]
[tex]\mathrm{Turn\:\frac{2}{3}\:into\:a\:decimal,\:by\:dividing\:2\:by\:3}[/tex]
[tex]\mathrm{0.6666666666666667\times180}[/tex]
[tex]\mathrm{Multiply\:0.6666666666666667\:and\:180}[/tex]
[tex]\mathrm{120}[/tex]
Now we do one fifth of 120
[tex]\mathrm{One\:fifth\:of\:120 = (\frac{1}{5})120\:or\:\frac{1}{5}\times120}[/tex]
[tex]\mathrm{Turn\:\frac{1}{5}\:into\:a\:decimal,\:by\:dividing\:1\:by\:5}[/tex]
[tex]\mathrm{0.2\times120}[/tex]
[tex]\mathrm{Multiply\:0.2\:and\:120}[/tex]
[tex]24[/tex]
So the answer to "What is one fifth of two thirds of 180", would be 24
By multiplying the number by the corresponding fractions, we can see that the fifth part of two-thirds of 180 is 24.
How to get the fifth part of two thirds of 180?The fifth part of two-thirds of 180 is 24.
To calculate it:
Step 1: Find two-thirds of 180, Just multiply the fraction 2/3 by the number
(2/3) * 180 = 2 * 180 / 3 = 360 / 3 = 120
Step 2: Find the fifth part of the result from Step 1, similar like we did above, multiply the number by the fraction 1/5.
(1/5) * 120 = 120 / 5 = 24
So, the fifth part of two-thirds of 180 is 24.
Learn more about fractions at:
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What are some studying tips because while doing math i feel like dying...
And how can i make math more interesting to work with because i am almost crying while doing Khan-Academy in class.
Anyways send help, i am in my class and dying
Answer:
– Practicing is key. ...
2 – The formula sheet is your best friend. ...
3 – Understand what your calculator can do. ...
4 – Understanding the derivations of certain formulas. ...
5 – Understand your mistakes and close up any knowledge gaps. ...
6 – Practice on example questions in your textbook.
please PLEASE help me!!! Write an expression that can be used to produce vector r from vectors p and q. Explain how you determined that expression
Answer:
r = p - q
Step-by-step explanation:
Write the two given vectors using i and j components.
i = unit vector in x direction
j = unit vector in y direction
p = -i - 3j
q = 3i - 4j
Now how can you combine these two vectors and get r when
r = -4i + j?
Adding p and q gives this:
p + q = -i - 3j + 3i - 4j = 2i - 7j
That is not r, so the addition of the vectors p and q does not work.
How about subtraction?
Start with -i from p and subtract 3i from q. You do get -4i which is the x-component of r.
Then start with -3j from p and subtract -4j from q. You get -3j - (-4j) = -3j + 4j = j which is the y-component of r.
That subtraction works.
p - q = -i - 3j - (3i - 4j) = -i - 3j - 3i + 4j = -4i + j which is exactly what r is.
Answer: r = p - q
Answer:
Step-by-step explanation:
What does X equal in this 30-60-90 triangle?
Answer:
19/2, or 9.5
Step-by-step explanation:
It's half of the longest side (You can see by flipping the triangle on the side between the 30 and the 90 angle, and notice that you get two halves of an equilateral triangle). In our case, its [tex]\frac {19}2 = 9.5[/tex]
George bought a cellphone that is priced at $850. There is a sales tax of 13%. How much did George pay for the cellphone altogether?
Answer:
$960.5 dollars the answer is $960.5 the tax was 110.5
Part A
The number sentences show a pattern in the sum of the fractions from 0 to 1 for different denominators
NTS
(a)
a
0 1 2.
+ +
2 2 2
1
2
b.
0 1 2 3
+
3
+ +
3 3
3
2.
Seven
C
0 1 2.
7
+ +
7
7 7
+ ...
4
7
d.
0
1
+
10 10
-+
2
10
+...
10 10
5
10
Based on this pattern, which equation will have a sum that is a whole number? Select the correct answer.
、
wa
A 0 1 2
+
5 5
+
= 1
B
1 2 6
+ +
6
6 6
с
0 1
2 2 8
+
8
8 8 8
1 2
12
+ + +
12 12 12 12
DON on
- + +
160
on 16 ICOS
OIN
--
NIN
---
Answer:
A. 012.+22212
Step-by-step explanation:
A because you use that to add
The equation having a sum that is a whole number is 0/5 + 1/5 + 2/5 + .... + 5/5
What is an whole number?A whole number means a number that does not include any fractions, negative numbers or decimals.
Given that, number sentences show a pattern in the sum of the fractions from 0 to 1 for different denominators,
1) 0/5 + 1/5 + 2/5 + .... + 5/5 =
1/5(0 + 1 + 2 + 3 + 4 + 5) = 1/5(15) = 3 [whole number]
2) 0/6 + 1/6 + 2/6 + .... + 6/6 =
1/6(0 + 1 + 2 + 3 + 4 + 5 + 6) = 21/6 = 7/2 [fraction]
3) 0/8 + 1/8 + 2/8 + .... + 8/8 =
1/8(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) = 36/8 = 9/2 [fraction]
4) 0/12 + 1/12 + 2/12 + .... + 12/12 =
1/12(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12) = 78/12 = 13/2 [fraction]
Hence, the equation having a sum that is a whole number is 0/5 + 1/5 + 2/5 + .... + 5/5
Learn more about whole number click;
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The complete question is attached
What is 1 2/3x4= PLS HELP
50 is the same as the quotient of p
and 10.
Answer:
500 divided by 10 = 50
Step-by-step explanation:
quotient means the answer of a division problem 50 is the quotient of 500 being divided by 10
Answer:
Setting this up;
50 = p/10
Step-by-step explanation:
Using the keywords;
'same as'
'quotient of'
and 'of p', we can determine how to format this expression.
Please Help Me With This Problem I Will Give You The Brain Crown And Extra Points
How long does it take the cannonball to land on the ground? Round your answer to the nearest whole number and remember to include your units.
Find the inverse of the function.
Y = 2x2 4
Answer:
To find inverse functions, switch the two variable and solve for y:
Step-by-step explanation:
x=2y²-4
x+4=2y²
(x+4)/2=y²
√((x+4)/2)=y
Hope this helps!
Answer:
q1, b ;q2, c
Step-by-step explanation:
help pls i have been stuck for long time
Answer:
Exponent rules
[tex]\textsf{product rule: }a^b \times a^c=a^{(b+c)}[/tex]
[tex]\textsf{quotient rule: }a^b \div a^c=a^{(b-c)}[/tex]
[tex]\textsf{power rule: }(a^b)^c=a^{(b \times c)}[/tex]
a) Use product rule:
[tex]3^2 \times 3^x=3^{(2+x)}[/tex]
[tex]\implies 3^{(2+x)}=3^7[/tex]
[tex]\implies 2+x=7[/tex]
[tex]\implies x = 5[/tex]
b) Use quotient rule:
[tex]7^8 \div 7^y=7^{(8-y)}[/tex]
[tex]\implies 7^{(8-y)}=7^6[/tex]
[tex]\implies 8-y=6[/tex]
[tex]\implies y=2[/tex]
c) Use power rule:
[tex](q^4)^z=q^{(4z)}[/tex]
[tex]\implies q^{(4z)}=q^{12}[/tex]
[tex]\implies 4z=12[/tex]
[tex]\implies z=3[/tex]
Hurry please!
Find the slope
A. -3/5
B. 3/5
C. -5/3
D. 5/3
Answer:
[tex]\frac{5}{3}[/tex] should be correct!
Step-by-step explanation:
Gary bought a bond with a face value of $12,000 and a coupon rate of 6.5%. The bond will mature in 10 years.
How much interest will he receive semiannually?
A) $780
B) $650
C) $468
D) $390
Answer:d
Step-by-step explanation:
12,000 x 6.5% = 780 divided by 2 =390
D. $390
May I get brainliest please? :)
if the cost of 56m cloth is 10rs, find the cost of 15m cloth?
Answer:
2.67857142855
Step-by-step explanation:
every M of cloth costs 0.17857142857rs (10/65=0.17857142857)
So, 15m of cloth costs 2.67857142855rs (0.17857142857*15= 2.67857142855)
Answer:2.7rs
Step-by-step explanation:
First find the cost of one m:
We can set it up as a fraction in the form of cloth (mm)/cost(rs)
=
56m/10rs
let x be the cost in rs of 1m:
1m/x
This is kind of like a ratio where 56/56=1 so therefore 10/56 (because whatever you do to the top you do to the bottom) will give us x or in other words the cost of 1 meter of cloth:
so after dividing both 56 and 10 by 56 we get:
1/0.18 (it would be a longer decimal but always try to round it if you can!)
That mean 1m of cloth costs 0.18 rs
So now let’s apply the same rule as before (treating the fraction as a ratio and doing the same on both top and bottom and let’s apply it again to find the cost of 15 meters!)
1m * 15
————-
0.18 * 15
=
15m
———-
2.7rs
therefore the cost of 15 m is 2.7rs
confirm with your teacher wether they want you to round it or not however.
Hope this helps!
:D
Find the center and radius of a circle that has a diameter with the given endpoints.
(7, -5) and (-1, 10)
Answer:
center: (3, 2.5)radius: 8.5 unitsStep-by-step explanation:
The center of a circle is the midpoint of any diameter. The midpoint of a segment has coordinates that are the average of the coordinates of the segment end points.
The length of the radius is the distance from the center to an end point of a diameter. Alternatively, it is half the length of the diameter.
__
Center = (A +B)/2 = ((7, -5) +(-1, 10))/2 = (6, 5)/2 = (3, 2.5)
Radius = 1/2|AB| = 1/2√((7 -(-1))² +(-5 -10)²) = 1/2√(64 +225) = 1/2√289
= 17/2 = 8.5
The center of the circle is (3, 2.5), and the radius is 8.5 units.
__
Additional comment
The differences of diameter end point coordinates are 8 and 15, suggesting the Pythagorean triple {8, 15, 17} will come into play. It does.
Which of the following could result in higher living costs for the homeowner that the renter doesn’t have?
a.
decreased property value
b.
down payment
c.
maintenance
d.
monthly payment
anwser is C
Answer:
C. Maintenance
Step-by-step explanation:
hope this helped
f(x)= {x+4 if x<5
{8 if 5 < or equal to x<7
{2x-1 if 7 < or equal to x < or equal to 10
for f(x), evaluate the following:
A. f(0)
B. f(6)
show all of your work.
Answer:
A. f(0) = 4
B. f(6) = 8
Step-by-step explanation:
When evaluating a piecewise function, the fist step is to determine the applicable domain. Then the function defined for that domain is the one that is used for the evaluation.
A.x = 0 is in the domain x < 5, so the applicable function is f(x) = x+4.
f(0) = 0 +4 = 4
__
B.x = 6 is in the domain 5 ≤ x < 7, so the applicable function is f(x) = 8.
f(6) = 8
Number between 49 and 95 that is a multiple of 3 8 and 12
Answer:
72 is a multiple of 3, 8, and 12.
Step-by-step explanation:
(3 x 24 = 72, 8 x 9 = 72, 6 x 12 = 72)
Write the multiples of 3, 8 and 12:
3: 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,
75,78,81,84,87,90,93,96
8:
8,16,24,32,40,48,56,64,72,80,88,97
12: 12,24,36,48,60,72,84,96
The common multiple between 49 and 95 is 72
Answer: 72
What model describes the relationship between the amount of money in an account and time, given that the money triples every month
Question 7
Find the volume of the figure.
10 cm
8 cm
10 cm
14 cm
10 cm
8 cm
cubic centimeters
Answer:
3000cm3
Step-by-step explanation:
(a) Length =10cm, breadth =8cm, height =3cm
Volume of cuboid =lbh=10×8×3=240cm
3
[V=240cm 3 ]
(b) Length =1.5m, breadth =25cm, height =15cm
[1m=100cm]
Volume of cuboid =lbh=150×25×15=56250
[V=56,250cm3 ]
(c) Length =15cm, breadth=2.5dm, height =8cm
[1dm]=10cm
Volume of cuboid =lbh=15×25×8
[V=3000cm3 ].
Step-by-step explanation:
PLEASE HELP ASAP, WILL GIVE BRAINLIEST!
If the area of this circle is 12, what is the area of the colored sector?
Answer:6
Step-by-step explanation:
since it is A half circle it is the hhalf Value of the area of the full circle
Select all the following that describe the association in the scatter plot
Answer:
C) positive association
Step-by-step explanation:
draw a line if these points gather around a line there is a relationship . The slope of the line is positive .So graph positive correlation .
50 POINTS EACH!!!!! will give brian crown thing
Which expressions are equivalent to [tex]64^{1}[/tex]?
Answer:
8^2
Step-by-step explanation:
8 squared is equal to 64. 64 to the power of 1 is also 64.
is y=(2x+5)^2 a linear
Answer:
y
=
(
2
x
+
5
)
2
Simplify
(
2
x
+
5
)
2
.
Tap for more steps...
y
=
4
x
2
+
20
x
+
25
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be
0
or
1
for each of its variables. In this case, the degree of variable
y
is
1
and the degree of variable
x
is
2
.
Not Linear
Step-by-step explanation:
please put me in brainlest
1.) What figures are formed inside the hexagon?
2.) Does this construction suggest another way to construct a hexagon?
Answer:
Triangles
Step-by-step explanation:
By using triangles you should be able to construct a hexagon.
Answer:
a) See attached diagram. The figures formed inside the hexagon are equilateral triangles.
b) Create 6 congruent equilateral triangles and place together to form a hexagon.
Evaluate the expectation
6!/3!=
Answer:
120
Step-by-step explanation:
Evaluate. Answer has to be in scientific notation
(8 x 10^6) + (7.3 x 10^4)
Answer:
8.0730000*10^6
Answer:
8,073,000
=8.1 × 10⁶
Step-by-step explanation:
The answer is above
The second angle of a triangle is 95 more than the first angle. The third angle is three times the first. Find the three angles.
Answer: hope this helped!
Step-by-step explanation:
the clues for set up are all right in front of you:
x= first angle's measurement
x+5 = second angle's measurement
3x = third angle's measurement.
Their sum is 180 degrees; thus you can add the three expressions to get an equation that you can solve.
Learn from this example, please.
2 more than the difference between 8 and h
Determine the number of solutions for this system of equations by inspection only. Explain.
7x+4y=
16 42x+24y
=110
Answer:
No solution (C)
Step-by-step explanation:
System of Linear Equations given :
[1] 7x + 4y = 16
[2] 42x + 24y = 110
Solve by Substitution :'
// Solve equation [2] for the variable y
[2] 24y = -42x + 110
[2] y = -7x/4 + 55/12
// Plug this in for variable y in equation [1]
[1] 7x + 4•(-7x/4+55/12) = 16
[1] 0 = -7/3 => NO solution
No solution (C)