Answer: 462/1000
Step-by-step explanation:
Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1
Base case: if n = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for n = k, namely that k ² - k is even. This means that k ² - k = 2m for some integer m.
Induction step: show that the assumption implies (k + 1)² - (k + 1) is also even. We have
(k + 1)² - (k + 1) = k ² + 2k + 1 - k - 1
… = (k ² - k) + 2k
… = 2m + 2k
… = 2 (m + k)
which is clearly even. QED
Find all the values in the interval (0.1, 0.4]
Answer:
infinite values
Step-by-step explanation:
there are infinite values between 0.1 and 0.4
0.234234,0.3,0.2743843 etc.
Line K intersects plane M at point R plane M contains line a. Point R is in line k but not in line a.
Answer:
plzz inbox me dear I'm feeling alone
In a mathematics class, half of the students scored 79 on an achievement test. With the exception of a few students
who scored 49, the remaining students scored 78. Which of the following statements is true about the distribution of
scores?
WILL MARK BRAINLIEST
Which of the following statements is false?
If a number is divisible by 8, it must be divisible by 4.
If a number is divisible by both 9 and 10, it is divisible by 90.
The sum of two consecutive odd numbers is always divisible by 4.
If a number is not divisible by both 3 and 4, it is divisible by 12.
Answer:
The last one
Step-by-step explanation:
It doesn't make sense for that to be true
Determine if the following are functions of x.
(a) 5(y + 1)3 + x2 = 1
9514 1404 393
Answer:
is a function
Step-by-step explanation:
The graph passes the vertical line test, so the relation is a function of x.
Which expression has a negative value?
7-31-4/2)
(15-7)-(9:3)
0-517+(-14) ]- 30
Answer:
the answer is 7+3(-4)(2)
Find the equation of the line perpendicular line displayed below that passes through the point (-3,2). Explain your process. Express your answer in point-slope form
9514 1404 393
Answer:
y -2 = 1/4(x +3)
Step-by-step explanation:
Process: find the negative reciprocal of the slope of the line shown and put the appropriate values into the point-slope equation.
__
The slope of the given line can be found as the ratio of rise to run between the marked points.
m = rise/run = -8/2 = -4 . . . . counting grid squares
The desired line has a slope that is the opposite reciprocal of this:
m' = -1/m = -1/-4 = 1/4
The point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
Then the desired line with slope 1/4 through point (-3, 2) has equation ...
y -2 = 1/4(x +3)
On Monday Ryan picked a third of a pound of strawberries. On Tuesday he
icked three-fourths of a pound of strawberries. What was the total weight of the
trawberries Ryan picked?
Answer:
[tex]17 \frac{1}{3} [/tex]
Step-by-step explanation:
1/3 pound = 5.333 ( 5 1/3 ) ounces
3/4 pound = 12 ( 12 ) ounces
How do we show 425/1000 as a decimal?
Answer:
0.425
Step-by-step explanation:
bro this is like 1st grade math
Consider the equation −8x−5y=−10
A line parallel to the above line would have a slope of
A line perpendicular to the above line would have a slope of
Please Help!!
Answer:
Explanation :
The slope of the line with the equation -8x - 5y= -10 is -8/5 so the line parallel to it will have a slope of -8/5 because parallel limes have the same slope.
The line perpendicular to it will have a slope of 5/8. This is because the slopes of perpendicular lines add up to -1.
Hope this help
Write an equation of the line below.
Answer:
y=x
Step-by-step explanation:
yep
that is the answer
447,077 is ____________________then 347,077.
Fill in the blank.
447,077 is greater than 347,077
447,077 greater than 347,077 by 100,000
447,077-347,077= 100,000
I can list more if you want! I hope I've helped!
Prove: [tex]\frac{a}{b}[/tex] = \frac{c}{d}[/tex], then[tex]\frac{a+b}{b} = \frac{c+d}{d}[/tex]. show work pls :)
Step-by-step explanation:
[tex]\dfrac{a}{b} = \dfrac{c}{d}[/tex]
Add 1 to both sides of the equation:
[tex]\dfrac{a}{b} + 1 = \dfrac{c}{d} + 1[/tex]
Note that
[tex]\dfrac{a}{b} + 1 = \dfrac{a + b}{b}[/tex]
Likewise,
[tex]\dfrac{c}{d} + 1 = \dfrac{c + d}{d}[/tex]
Therefore,
[tex]\dfrac{a + b}{b} = \dfrac{c + d}{d}[/tex]
Help solve please due tomorrow, thanks. 3x − 5 = 2x + 2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
3x − 5 = 2x + 2[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf \: 3x - 5 = 2x + 2[/tex]
Subtract 2x from both sides.
[tex] \large \sf \: 3x-5-2x=2 [/tex]
Combine 3x and -2x to get x.
[tex] \large \sf \: x-5=2 [/tex]
Add 5 to both sides.
[tex] \large \sf \: x=2+5 [/tex]
Add 2 and 5 to get 7.
[tex] \large{ \boxed {\bf \: x=7 }}[/tex]
can you help me to solve this
Answer:
<B = <C(angles in a isoceles traingle)
Answer:
angle B is equal to angle C because it's a isosceles triangle with two equal sides and two equal angles
Algebra Please Help!!
Answer:
c = 5/9 (F-32)
F-32 = c ÷ (5/9)
F-32 = c × (9/5)
F-32= 9c/ 5
F= (9c/5) + 32
I hope I helped you^_^
One more than twice a number is 11. What is the number?
hi <3
we can call the unknown number 'n'
lets form an equation
2n + 1 = 11
subtract 1 from both sides:
2n = 10
divide both sides by 2:
n = 5
the number is 5
hope this helps :)
Please help me solve this equation
I hope it will help you . But I have confused whether you have asked the second question or not . If you have asked , please send that question .
A trip to Lauren’s grandfathers house is 3,074 miles round trip. If the family visits him 4times each year, how many miles do they travel to see him one year ?
Answer:
12,296
Step-by-step explanation:
The total miles they travel to see him one year is 12,296 miles.
Given that;
A trip to Lauren’s grandfather's house is 3,074 miles round trip.
And, the family visits him 4 times each year.
Used the concept of multiplication which gives,
The total miles they travel to see him one year is.
3,074 × 4
= 12,296 miles
Therefore, the total length of travel to see him in one year is 12,296 miles.
Learn more about the multiplication visit:
brainly.com/question/10873737
#SPJ3
1 1/4 cups of flour per 1/8 cup of butter what is the unit rate
Answer:
10 cups of flour per cup of butter
Step-by-step explanation:
1.25 cups of flour per 1/8 cup of butter
1 ÷ 1/8 = 8
1.25 * 8 = 10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Given: g(x) = -4x and h(x) = 4x +3
Find: g(h(x+1))
Answer:
-16x-28
Step-by-step explanation:
h(x+1)= 4(x+1)+3 = 4x+7
g(h(x+1))= -4[4x+7] = -16x-28
Help please due tomorrow
Scale factor is 4 for all.
When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?
A.
180°
B.
270°
C.
360°
D.
540°
Answer:
C. 360°
Step-by-step explanation:
Two pairs form a complete angle with a sum of 360°.
A missile was fired from a submarine from 220 feet below sea level. If the missile reached a height of 10400 feet before exploding, what was the change in the altitude of the missile?
Answer:
10,620
Step-by-step explanation:
Since it reached a height of 10,400 before exploding and was 220 feet below sea level we need to add the two numbers together to get the total change in altitude.
You can think of it as sea level = 0 so 220 feet below sea level is -220 and 10,400 above sea level is +10,400 so what's the difference between the two.
Finding the Difference
10400 - (-220)
= 10400 + 220
= 10620
Which expression is equivalent to the given expression? 2x^2-14 +24
Answer:
Equivalent expression is (x - 4)(x - 3)
Step-by-step explanation:
[tex] {2x}^{2} - 14x + 24[/tex]
find the factors:
[tex] = (x - 4)(x - 3)[/tex]
(2x-12)(x-2)
after multiplying you'll get the same
The ratio of (blank) to the total is (blank)
Answer:
4:2 to the total is 6
Step-by-step explanation:
jus like that
(18 - 3)2 = ?
show your work
help me pls ty
Answer: 30
Step-by-step explanation:
18 - 3 is in the parenthesis so you have to solve that first. it’s 15 so the equation would then become (15)2 which is equal to 15 times 2. 15 times 2 equals 30.
FIRST TO ANSWER CORRECTLY GETS BRAINLIEST
Answer:
d
Step-by-step explanation:
2*4.5=9
scale1:30
=9*30 =270
Convert to actual scale based on proportion of 1:30
4.5 x 30 = 135 inches
2 x 30 = 60 inches
135 x 60 = 8100 inches^2 though we need this in feet and because we solved for area we need to divide by 12in^2*12in*^2
8100/144 = 56.25 or roughly 56 ft^2
I hope this helps! Let me know if you have any questions. Have a very nice day/night :).
power set of MIRACLE
Answer:
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