Answer:
5
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 10^2 = (5 sqrt(5))^2
a^2 +100 = 25(5)
a^2 +100 = 125
a^2 = 125-100
a^2 = 25
Taking the square root of each side
sqrt(a^2) = sqrt(25)
a = 5
If [tex]f(x-1)=2x+3[/tex] for all values of x, what is the value of [tex]f(-3)[/tex]
[tex]\\ \sf\longmapsto f(x-1)=2x+3[/tex]
Think about the value f(x-1) and f(-3).f(-3) can be written in the form of f(x-1) .How?
[tex]\\ \sf\Rrightarrow f(-3)=f(-2-1)[/tex]
As -3=-2-1Let's find x then
[tex]\\ \sf\Rrightarrow x-1=-3[/tex]
[tex]\\ \sf\Rrightarrow x=-3+1[/tex]
[tex]\\ \sf\Rrightarrow x=-2[/tex]
Now Substitute it in the function[tex]\\ \sf\longmapsto f(-2-1)=2(-2)+3[/tex]
[tex]\\ \sf\longmapsto f(-3)=-4+3[/tex]
[tex]\\ \sf\longmapsto f(-3)=-1[/tex]
Which statement is true about the function shown in the graph?
[tex]f(x) = 2 \sqrt{x + 4} [/tex]
A. The function is strictly increasing.
B. The function is strictly decreasing.
C. The function is increasing and decreasing.
D. The function is constant.
Answer:
Function is slightly increasing
Step-by-step explanation:
PLATO
What is the expected value of X?
X 3 4 5 7 9
P 0.2 0.1 0.25 0.05 0.4
6.2
6.05
5.95
5.6
Multiply each X by its corresponding probability P, then add up them up.
E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4
⇒ E[X] = 6.2
ways to write 25 percent of n,
Answer:
0.25n = 25/100n = n/4
Step-by-step explanation:
25% of n = ...
0.25n = 25/100n = n/4
and any of an infinite number of equivalent expressions.
Answer 1-5 for each! I’ll mark as brainiest
Answer:
4 because I had this quiz and I got 80
NEED ANSWER VERY BAD BAD
Sewing machine cost $162.40 after a price increase of 16% find the price before the increase
Answer:
$140
Step-by-step explanation:
100/116×$162.40=$140
Answer:
Before the increase it was $136.416.
Step-by-step explanation:
16% of $162.40 is 25.984.
We need to do $162.40 - 25.984 which equals to $136.416.
Hope that helps. x
Help help help help math
area=147 cm squared
7 x 7 = 49
49 x 3 = 147
please ignore the work below it!! i am pretty sure it’s wrong!!
can someone teach me how to do this?
the formula is a_{1}+(n-1) d
so a_{1} would be the first number in the sequence, which would be 13 in problem 9.
13+(n-1)d
then you put in n, which is 10 (it represents which number in the sequence you're looking for, for example 16 is the second number in the sequence)
13+(10-1)d
then you find the difference between each number, represented by d which in this case is 3
13+(10-1)3
13+(9)3
13+27=
40
Use the translation rule (x, y) --> (x -10, y + 6) to find the image of A(5, - 10).
Answer:
(-5, -4)
Step-by-step explanation:
Plugin the values:
(x, y) ⇒ (x -10, y + 6)
= x - 10, y + 6
= (5 - 10, -10 +6)
= (-5, -4)
Therefore, A prime is (-5, -4).
Are all real numbers either rational or irrational?
Answer:
Yes. All real numbers are either rational or irrational.
Step-by-step explanation:
The set of all irrational numbers is commonly defined as the set of all real numbers that are not rational.
Let [tex]\mathbb{R}[/tex] denote the set of all real numbers. Let [tex]\mathbb{Q}[/tex] denote the set of all rational numbers.
For any given real number [tex]x[/tex] ([tex]x \in \mathbb{R}[/tex],) either [tex]x\![/tex] is rational ([tex]x \in \mathbb{Q}[/tex]) or [tex]x\!\![/tex] isn't rational ([tex]\lnot (x \in \mathbb{Q})[/tex], such that [tex]x \not\in \mathbb{Q}[/tex] and thus [tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex].)
Assume that [tex]x[/tex] isn't a rational number. By the definition of rational numbers, since [tex]x\!\![/tex] is a real number but not a rational number ([tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex],) [tex]x\![/tex] would be an irrational number.
Therefore, either [tex]x[/tex] is rational or [tex]x\![/tex] is irrational. Every real number would either be rational or irrational.
if you discovered a leaking faucet in your home , do you think it would be important to get it fixed why or why not ??
Answer:
b
Step-by-step explanation:
It is important to get a leaking faucet fixed as soon as possible to save water, money, and prevent potential problems in the future.
It is important to get a leaking faucet fixed because of the following reasons;
1. Water waste: A leaking faucet wastes a significant amount of water over time, which can contribute to higher utility bills and water shortages in drought-prone areas.
2. Cost-saving: Fixing a leaking faucet can save you money in the long run by reducing your water bill.
3. Preventing bigger issues: Ignoring a leaking faucet can lead to more serious plumbing problems down the line, which can be more expensive to fix.
4. Environmental impact: Wasting water unnecessarily has a negative impact on the environment and can contribute to water scarcity.
Overall, it is important to address a leaking faucet promptly to save water, money, and prevent potential problems in the future.
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Candi must take 15 ml of Medicine A three times daily, until it is finished. If the bottle of Medicine A contains, 5 L, how many days will she be taking the medication?
Round off your answer to the nearest whole number.
Candi would be taken medicine A for 11 days for her to complete the medication.
1 L = 1000 ml
Candi needs to take 15 ml of Medicine A three times daily. Therefore:
Amount of drug taken by Candi daily = 15 ml * 3 times = 45 ml = 0.045 L
Since the bottle contains 5 L, The number of days she needs to take the madication is:
Number of days = 5 L / 0.045 L = 11 days
Candi would be taken medicine A for 11 days for her to complete the medication.
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Solve using substitution.
=
10x + 4y = -14
X = 1
-
Submit
Answer:
-6
Step-by-step explanation:
10x1 + 4y = -14
10+4y=-14
4y=-14-10
4y = -24
y = -24/4
y = -6
Nicholas borrowed $4 from his mother each of the last three months . How much money do owe his mother?
Multiply 4 by 3 to represent the amount he borrowed to the amount of months he did this.
4 x 3 = 12
So, he owes his mother 12 bucks.
What is the product of ( 4 + 3 i ) and ( 12 − 2 i )
Answer:
54 + 28i
Step-by-step explanation:
I hope this helps!!!
HELP ME PLEASE!! I NEED THIS!
Determine whetherf(z) = 5x^2 -20x + 3 has a maximum or a minimum value and find that value.
the graph" will also not earn the credit.
Answer:
min{5 x^2 - 20 x + 3} = -17 at x = 2
Step-by-step explanation: here's the graph
what is the square root of negative 1 divided by 8
Answer:
if you mean [tex]\frac{\sqrt{-1} }{8}[/tex] then the answer[tex](1/8)i[/tex]
and if you mean:[tex]\sqrt{\frac{-1}{8}}[/tex] then the answer is[tex]\frac{i\sqrt{2} }{4}[/tex]
Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].
What is the fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts
As per the given information
i.e.,
[tex]\sqrt\frac{-1}{8}=i\frac{\sqrt2}{4}[/tex]
Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].
To know more about the fraction
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write the equation of the line that is parallel to Y=2/3 X -7 and passes through the point (-3,1)
Answer:
y=2/3x+3
Step-by-step explanation:
parallel means it stays the same so its still 2/3
now use the equation y=mx+b
plug in the slope which is 2/3
so we get y=2/3x+b
then plug in the 2 points
1= 2/3(−3)+b
1=-6/3+b
1=-2+b
add 2 to 1 and -2
3=b
so we get y=2/3x+3
URGENT! WILL MARK BRAINLIEST!!
Write an inequality that represents the graph.
(it’s #4)
Answer:
x > 2
Step-by-step explanation:
Let x = unknown number
The dot is at 2.
The dot is also an open circle meaning that 2 is not included. When the dot is an open circle we use < or > rather than ≤ and ≥
The line is going to the right towards the larger numbers.
This means that the solution to the inequality is greater than 2.
This can be represented as x > 2
Answer: x >2
Step-by-step explanation: It has an open circle and is pointing in the greater than direction. Therefore, it is written as x >2 which reads x is greater than 2. Of course, you could use any variable (letter) that you wish to choose.
Hope this helps.
Best to you!
what is the equation of a line that contains points (5,3) and (0, -1)
Answer:
y = [tex]\frac{4}{5}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )
m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line
A balanced scale has 3 marbles, 2 pennies, and 4 quarters on one side and 4 marbles, 2
quarters, and 1 penny on the other side. If pennies weigh one gram and quarters weigh
3 grams, find the weight of a marble. Explain or show your reasoning.
Answer:
See image
Step-by-step explanation:
An equation is really like a scale with two equal things on both sides. You could use the idea of a scale and lift off the same amount from both sides to keep it balanced. But I will show you the algebra version. When we subtract the same thing from both sides that's how we work back to our answer while keeping the scale balanced.
Let m = weight of a marble
p = weight of a penny = 1 gram
q = weight of a quarter= 3 grams
The problem says how many of each marble, penny, quarter, then set them equal to each other. See image
Help ASAPPPPP PLZZZZZZ
Which number goes in the square with the question mark?
[?] ÷ 3 = 2 N
N = 21 ÷ 3-3
A. 0
B.7
C.8
D.24
Answer:
this has to do with trial and error
since N=21÷3-3
so 21÷3-3=4
therefore N=4
substitute for N
2×4=8
8×3=24
therefore 24÷3=2×4
In a certain poultry farm,on average every 8 chickens lay 144 eggs per week.In five weeks the chickens laid 2880 eggs.How many chickens are in the farm? A.18. B.32. C.160. D576
Answer:
C
Step-by-step explanation:
7/13 as a decimal rounded to the nearest hundredth
Answer:
0.54
Step-by-step explanation:
Answer:
0.54
Step-by-step explanation:
calculator. easy.
1) The graph below represents the function y = f(x). State the domain and range of this
function in interval notation.
Who every gets it right will get Brainly and 20points
Answer: Third multiple choice
Step-by-step explanation:
First answer:
Since the fraction is increased by 7, we need to check if the increasing factor is the same for the bottom part of the fraction:
[tex]2.54*7=17.78\neq 17.68[/tex]
The first answer doesn't match, we do the same for all three remaining answer.
2)[tex]12*7=84\neq 74[/tex]
3)[tex]36*7=252[/tex]
4)[tex]3.28*7=22.96\neq22.86[/tex]
In this case, the answer is the third multiple choice.
The LCM of 2, 3, and 4 is _____. 24 12 6
Answer: the answer is 12
Step-by-step explanation: trust me
The LCM of 2,3, and 4 is 12.
What is LCM?The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers.
The given numbers are 2,3 and 4.
The LCM of 2,3, and 4 is the lowest number that can be divisible by 2,3, and 4.
The lowest number that can be divisible by 2,3 and 4 is 12.
Therefore, the LCM of 2,3, and 4 is 12.
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