Answer:
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
Step-by-step explanation:
Write the equation of a line that passes through the origin and is perpendicular to the line whose equation is 12x - 4y = 24.
Answer:
y=-1/3x
Step-by-step explanation:
Let's convert this to slope intercept form:
12x-4y=24
-4y=-12x+24
y=3x-6
Therefore, the slope of this line is 3, so the perpendicular line to this would have slope -1/3. Therefore, the slope of the line would be y=-1/3x. Hope this helps!
Identify domain and range of each function.y=3•5^x
Answer:
Domain- {IR} all real numbers or {infinity,infinity}
Range-{0,infinity}
Step-by-step explanation:
plug into calculator
Un parallelepipedo rettangolo ha una dimensione di base di 15 cm e l'altra è i 35 della prima. L'area totale misura 750 cm2. Di L'area laterale; L'altezza del parallelepipedo; Il volume. calcola
Answer:
1. Suprafața laterală este de 480 cm²
2. Înălțimea paralelipipedului este de 4,8 cm
3. Volumul paralelepipedului este de 648 cm³
Step-by-step explanation:
Un paralelipiped dreptunghiular are dimensiunea bazei de 15 cm, iar celălalt este 35 din primul. Suprafața totală măsoară 750 cm2. Din zona laterală; Înălțimea paralelipipedului; Volumul. Calcol
Aici avem
Dimensiunile bazei sunt;
a = 15 cm
b = 3/5 × 15 = 9 cm
c = Obligatoriu
De asemenea suprafața totală = 750 cm²
∴ deoarece suprafața totală = 2 · a · b + 2 · b · c + 2 · a · c
2 × 15 × 9 + 2 × 35 × c + 2 × 15 × c = 750
270 + 70 · c + 30 · c = 750
100 · c = 480
c = 4,8 cm
Suprafața laterală reprezintă suprafața totală mai puțin zona de sus și de jos
Prin urmare;
1. Suprafața laterală = 750 - 2 × 15 × 9 = 480 cm²
2. Înălțimea paralelipipedului = c = 4,8 cm
3. Volumul paralelipipedului = aria bazei × înălțimea
∴ Volumul paralelipipedului = 15 × 9 × 4,8 = 648 cm³.
4 3/10 - ( 2 2/5x+ 5 1/2) = 1/2(-3 3/5x + 1 1/5)
Answer:
x = -223/11 = -20.273
Step-by-step explanation:
Step 1 : Simplify: 11/5
Step 2: Simplify 33/5
Step 3 :
Adding fractions which have a common denominator
Step 4: Simplify: 1/2
Step 5 : see below
Step 6 : see below
Pulling out like terms/factors
Step 7 : Simplify: 51/2
Step 8: Simplify: 22/5
Step 10: Simplify: 43/10
Step 9 :
Calculating the Least Common Multiple
Step 11 :
Adding fractions which have a common denominator
Done.
Hope this helps.
Write the equation of a line that passes through the point (4, 2) and is parallel to the line graphed below.
Answer:
Step-by-step explanation:
(-2, 2) (2, -3)
(-3 - 2)/(2 + 2)
-5/4 the slope
y - 2 = -5/4(x + 2)
y - 2 = -5/4x - 5/2
y- 4/2 = -5/4x - 5/2
y = -5/4x - 1/2
In the United States, birth weights of newborn babies are approximately normally distributed with a mean of ? = 3,500 g and a standard deviation of ? = 500 g. According to the empirical rule, 68% of all newborn babies in the United States weigh between and .
Answer:
3000 and 4000
95% of all newborn babies in the United States weigh between *2500g and 4500g*
99.7% of all newborn babies in the United States weigh between *2,000g and 5,000g*
Step-by-step explanation:
Using the Empirical Rule, it is found that 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.
What is the Empirical Rule?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, the mean is of 3,500 g with a standard deviation of 500 g, hence:
3500 - 500 = 3,000 g.
3500 + 500 = 4,000 g.
Hence, 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
There different ways to think about 1 3/8- 1/1/8. Select three ways to find it
Answer:
1. 1 3/8- 1 /1/8
2. 11/8- 9/8
3. 1 3/8- 9/8
Step-by-step explanation:
who is the best rapper
Answer:
Eminem.
Rakim.
Nas.
Andre 3000.
Lauryn Hill.
Ghostface Killah.
Kendrick Lamar.
Lil Wayne
Step-by-step explanation:
Answer:
Logic
Step-by-step explanation:
4x - 20 = -2(-3x + 22)
Answer: x = 12
Step-by-step explanation:
[tex]4x-20=-2(-3x+22)[/tex]
Begin by distributing -2
[tex]4x-20=6x-44[/tex]
Subtract 6x
[tex]4x-6x-20=-44[/tex]
Add 20
[tex]4x-6x=-44+20[/tex]
Combine like terms;
[tex]-2x=-24[/tex]
Divide by -2
[tex]x=\frac{-24}{-2}\\ x=12[/tex]
−3x+7y=5x+2yminus, 3, x, plus, 7, y, equals, 5, x, plus, 2, y Complete the missing value in the solution to the equation. (−5,(-5,(−5,left parenthesis, minus, 5, comma )))right parenthesis
Answer:
[tex](-5,-8).[/tex]
Step-by-step explanation:
Given the equation
[tex]-3x+7y=5x+2y[/tex]
We need to find the missing value of the coordinate; (-5, __)
First, we collect like terms
[tex]-3x-5x=2y-7y\\\\-8x=-5y[/tex]
When x=-5
[tex]-8*-5=-5y\\\\40=-5y[/tex]
Dividing both sides by -5
[tex]y=-8[/tex]
The missing value of the coordinate (-5,y) is -8.
Thus, the complete solution to the equation is [tex](-5,-8).[/tex]
If (1)=3 and f(n)=f(n-1)-1 then find the value of f(6)
Answer:
f(1) = 3
f(n) = f(n-1) - 1
Otherwise,
f(n) = f(1) - (n-1)
=> f(6) = 3 - 5 = -2
Hope this helps!
:)
What is the area of triangle DEF? Triangle D E F has a base of 42 centimeters and a height of 28 centimeters. The other sides have lengths of 35 centimeters.
Answer:
The area of triangle DEF is 588 cm²
Step-by-step explanation:
Given;
triangle DEF with base, b = 42 centimeters
triangle DEF with height, h = 28 centimeters
triangle DEF other side length, L = 35 centimeters
Area of a triangle is half of the product of the triangle base and height.
Represented in formula as;
A = ¹/₂bh
where;
b is the base of the triangle
h is the height of the triangle
A = ¹/₂ x 42 x 28
A = 588 cm²
Therefore the area of triangle DEF is 588 cm²
Answer:
588
Step-by-step explanation:
A group of friends is addressing wedding invitations. Casey can address 20 envelopes in one hour, Anne can address 44 envelopes in two hours, and Paula can address 68 envelopes in three hours. About how long will it take them to address 400 envelopes?
Answer:
Time taken = 6.2 hours
Step-by-step explanation:
Firstly, we will calculate the rate of each person per hour. Then we combine the rates and afterward divide the number of envelope they could address by the combined rate.
Casey can address 20 envelopes at the rate of 20 per hour.
Casey rate = 20 envelope per hr
Anne can address 44 envelope in 2 hours
Anne rate = 22 envelope per hr
Paula can address 68 envelope in 3 hours
Paula rate = 68/3 envelope per hr
Time it will take them to address 400 envelope can be solved below
Add their rate = 20 + 22 + 68/3 = 42 + 68/3 = (126 + 68)/3 = 194/3
Time = 400 ÷ 194/3 = 400 × 3/194 = 1200/194 = 6.1855670103
Time taken = 6.2 hours
Suppose the diameter of a circle is 6 units. What is its circumference?
If the diameter of a circle is 6 units, it's radius would be half that, that is 3 units.
Circumference = [tex]2\pi r[/tex] = 2 x 3.14 x 3 = 18.84 units
-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!
_____________________________________________
I NEED HELP PLZ I FORGOT HOW TO DO THIS PLZ EXPLAIN HOW U GOT UR ANSWER HELPP
Answer:
5
Step-by-step explanation:
Using the formula of a trapezoid, we can solve this!
Formula is A=1/2(b1+b2)h.
A=1/2(2+8)1
A=1/2(10)1
A=1/2(10)
The area would be 5 cubic in2.
Please tell me if im wrong! im just a student .m.
Answer:
5 units²
Step-by-step explanation:
a for a trapezoid = [tex]\frac{a+b}{2} *h[/tex]
[tex]\frac{8+2}{2} *1[/tex] = [tex]\frac{10}{2} * 1[/tex] = 5*1 = 5
The area is 5 units²
2/3=(1/2)/x solve for x
Answer:
x=3/4
Step-by-step explanation:
Look at the picture so you understand how To solve it.
Which of the following fractions converts to a repeating decimal? A 3/8 B 2/9 C 3/10 D 5/16
Answer:
B. 2/9
Step-by-step explanation:
3/8 = 0..375
2/9 = 0.2222222222
3/10 = 0.3
5/16 = 0.3125
the repeating decimal among these is 2/9 = 0.22222222222222222, because it has a repeated decimal numbers
A brand of uncooked spaghetti comes in a box that is a rectangular prism with the length of 8 inches width of 2 inches and the height of 1 1/2 inches what is the surface area
Answer:
176
Step-by-step explanation:
what’s 1 2/3 + 5 3/8
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
the right answer is : A
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
im smort
A.359.5
B.2,178
C.18.0
Answer:
C, or 18.0
Step-by-step explanation:
The SAS theorem provides that the area is 17.97, which rounds up to 18.0, giving you C as the answer. The other two are far too high for the given values.
A bag contains 3 red balls and two blue balls. A ball is taken out random from the bag and then put back. A second ball has been taken out of the bag. What is the probability that: (a) both balls are red, (c)b both balls are the same color, (c) at least one of the balls is red. Answer
Answer:
a . 9/25
b. 13/25
c. 3/5
Step-by-step explanation:
Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls
P(R) = number of red/total number of balls = 3/5
P(B) = number of blue/total number of balls = 2/5
Since the experiment is with replacement, whatever ball picked would be returned
a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25
b. Probability of both balls being same color;
That is : probability of both balls being red or both being blue
Mathematically that would be;
P(R) * P(R) or P(B) * P(B)
whenever we have or in probability, what we do is to add ;
= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25
C. at least one of the balls is red
what this means is that both are red or one of the two is red.
Mathematically;
P(R) * P(R) or P(B) * P(R)
= (3/5 * 3/5) + (3/5 * 2/5)
= 9/25 + 6/25 = 15/25 = 3/5
please help me i need the last word for this crossword puzzle!!! if i did something wrong let me know...
Answer:
Your other answers all look good - I think the word in the blank is producer, which means an organism that makes its own food. Green plants do so through photosynthesis.
Answer:
producer
Step-by-step explanation:
Because it makes sense
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
Can anyone help me fix the mistakes i made? I will give you brainiest if you do and the teacher tells me its correct.
Answers:
#1: infinite solutions; #2: no solutions
Step-by-step explanations:
Steps for #1
3(2x+7)=13+4(x+2)+2x
6x+21=13+4x+8+2x
6x+21=21+6x
6x=6x
x=x
After completing the steps to find the value of x using Order of Operations, we see that in the end, the answer we have is x=x. We can easily conclude that x is equal to any number because the final answer in this exercise is always whatever the value of x is. For example, if x=4, our final answer would be 4.
Steps for #2
5(6x+8)=9x-10+21x
30x+40=30x-10
40=-10
Here, we see that once we've completed the steps using the Order of Operations, we come out with the answer 40=-10, which is not true on any terms. Therefore we can simply conclude that the answer for #2 is "no solutions."
If you have any trouble figuring out how I got my answers, please refer back to the steps I used to get the answers.
Thank you!
PLEASE HELP THIS IS DUE!!!!!
Answer:
what are we supposed to answer
Step-by-step explanation:
Answer:
idk
Step-by-step explanation:
there is nothing there
Pleaaase help me out here im being timed!!
Really appreciate it if u did thank u.
Answer:
use this example, its all i could find
Step-by-step explanation:
Answer:
V=\frac{lwh}{3}
l=length
w=width
h=height
volume of pyramid formula
Step-by-step explanation:
WILL GIVE BRAINLEST!! We roll a fair 6-sided die 5 times. What is the probability that we get an odd number in exactly 4 of the 5 rolls?
Solve y = x + 6 for x.
A. x = y + 6
B. x = -y + 6
C. x = y - 6
D. x = -y - 6
Answer:
B: x = -y+6
Step-by-step explanation:
Since y = x+6:
Bring x and y to their opposite sides:
x = -y+6
I hope this helps and plz mark me brainliest!!