Answer:
Jada drank less water than Elina.
Step-by-step explanation:
Water drunk by Elina = 3 liters
Jada drank the water [tex]\frac{3}{4}[/tex] times as much as water as Elina.
Therefore, water drunk by Jada = [tex]\frac{3}{4}\times 3[/tex]
= [tex]\frac{9}{4}[/tex]
= 2.25 liters
Lin drank water twice as much as Jada.
Therefore, Lin drank the amount of water = 2 × 2.25
= 4.5 liters
Since Jada drank 2.25 liters of water and Elina drank 3 liters
Therefore, Jada drank less water than Elina.
what do you think would happen to a person if mortor neuron from the grey matter of spinal cord is removed?
Step-by-step explanation:
Introduction
Until World War II, a serious spinal cord injury (SCI) usually meant certain death. Anyone who survived such injury relied on a wheelchair for mobility in a world with few accommodations and faced an ongoing struggle to survive secondary complications such as breathing problems, blood clots, kidney failure, and pressure sores. By the middle of the twentieth century, new antibiotics and novel approaches to preventing and treating bed sores and urinary tract infections revolutionized care after spinal cord injury. This greatly expanded life expectancy and required new strategies to maintain the health of people living with chronic paralysis. New standards of care for treating spinal cord injuries were established: reposition the spine, fix the bones in place to prevent further damage, and rehabilitate disabilities with exercise.
Today, improved emergency care for people with spinal cord injuries, antibiotics to treat infections, and aggressive rehabilitation can minimize damage to the nervous system and restore function to varying degrees. Advances in research are giving doctors and people living with SCI hope that spinal cord injuries will eventually be repairable. With new surgical techniques and developments in spinal nerve regeneration, cell replacement, neuroprotection, and neurorehabilitation, the future for spinal cord injury survivors looks brighter than ever.
4 - Q = -2 what is Q
Answer:
Q = 6
Step-by-step explanation:
Step 1: Write equation
4 - Q = -2
Step 2: Subtract 4 on both sides (Subtraction Equality)
-Q = -6
Step 3: Divide -1 on both sides (Division Equality)
Q = 6
And we have our answer!
Answer:
[tex] \boxed{Q = 6}[/tex]Step-by-step explanation:
[tex] \mathrm{4 - Q = - 2}[/tex]
Move constant to R.H.S and change its sign
[tex] \mathrm{ - Q = - 2 - 4}[/tex]
Calculate
[tex] \mathrm{ - Q = - 6}[/tex]
Change the signs on both sides of the equation
[tex] \mathrm{Q = 6}[/tex]
Hope I helped!
Best regards!
The formula for the area of a square is sº, where s is the side length of the square. What is
area of a square with a side length of 6 centimeters? Do not include units in your answer.
Answer:
36
Step-by-step explanation:
The formula for the area of a square is s², where s is the side length of the square.
If a square with a side length of 6 centimeters then we get,
S = 6
Now, Area of square
= s² = (6)² = 36
please help :) Write the number shown in standard notation. 6.94 x 10 to the 6 power A. 694 B. 6,940,000 C. 694,000,000 D. 694,000
Answer:
B. 6,940,000
Step-by-step explanation:
6.94 x 10^6
Make the number "6.94" as 694.
Since we make this decimal point move 2 places to the right.
We should decrease 2 powers from 10^6
=> 694 x 10^4
=> 694 x 10000
=> 6,940,000
So, the answer is B
Find the slope of the line passing through the points (-9, -3) and (7,-7).
DI
DD
Undefined
$
?
Answer:
-1/4
Step-by-step explanation:
Slope = y/x - y1/x1
=> -7/7 - (-3/-9)
=> -7 +3 / 7+9
=> -4/16
=> -1/4
The slope for the given coordinates of points is -1/4.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given points are (-9, -3) and (7,-7).
The general expression to find the slope for two points (x₁, y₁) and (x₂, y₂) is given as,
m = (y₁ - y₂)/(x₁ - x₂)
Plug (x₁, y₁) = (-9, -3) and (x₂, y₂) = (7, -7) to get,
⇒ m = (-3 + 7)/(-9 - 7)
⇒ -1/4
Hence, the slope is obtained as -1/4.
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At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 16 computer chips is taken. What is the probability of thesample mean
THIS IS COMPLETE QUESTION
computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.2 centimeters. A random sample of 16 computer chip is taken. What is the probability that the sample mean will be below 0.95?
Answer:
the probability is P=0.045
Step-by-step explanation:
We were given mean of computer chips as 1 centimeter and a standard deviation of 0.1 centimeter
We were given
σ=0.1
n=16
We calculate:
Z=(0.95-1)/0.1 √16
Z=-0.125
Using the standard z- tables. to get the probability we have
P(X<0.95)=P(z<-0.115)=0.045
Therefore, probability is P=0.045
3.3. (08.01 LC) Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi. (4 points) . 4. (08.01 MC) Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube? (4 points)
Answer:
1. C = 10π, A = 25π
2. 9 cm³
Step-by-step explanation:
Formula for circumference = πd
Formula for area of a circle = πr²
1. Set up the equation for circumference
10π
2. Set up the equation for area (radius = 1/2diameter) and solve
π(5²) = 25π
Formula for volume of a square pyramid = 1/3s² · h
The volume of a square pyramid is equal to 1/3 of the volume of a cube. The formula for a volume of a cube is s³ which is equal to s² · h because a cube has the same side length for all sides. Therefore, the volume of a square pyramid that perfectly fits within a given cube would equal 1/3 the volume of the cube.
1. Set up the equation and solve
27 ÷ 3 = 9
Answer:
3. The fourth: C= 10π, A = 25π 4. The third: 9 cm³Step-by-step explanation:
3.
diameter is equal two radiuses
D = 10 = 2R ⇒ R = 5
circumference: C = 2πR = 2R•π = 10π
area: A = πR² = π•5² = 25π
4.
If square pyramid fit perfectly inside cube then its base is the same as a face of cube, and the height (H) of pyramid is equal to the edge (S) of its base.
[tex]A_p=\frac13S^2\cdot H =\frac13S^2\cdot S=\frac13S^3=\frac13A_c=\frac13\cdot27\,cm^3=9\,cm^3[/tex]
What is the method called on #3
Answer:
an algorithm method just means a step by step procedure which in this case its means decimal subtraction in number 3.
Step-by-step explanation:
i hope this helps :)
When a number is divided by 9 and its quotient is 12 and a remainder of 2
Answer:
Step-by-step explanation:
_____ / 9
2/12
Multiply the divisor (9) by the quotient (12) and to the result add the remainder (2).
9 × 12 + 2 =
108 + 2 = 110
110 is the number divided.
110/9
20/12
2
Shawna, Dexter, and Tilana are solving the equation Negative 2.5 (5 minus n) + 2 = 15. Shawna says, "I can begin by dividing each side of the equation by –2.5 to get 5 minus n minus StartFraction 2 over 2.5 EndFraction = Negative StartFraction 15 over 2.5 EndFraction." Dexter says, "I can begin by distributing Negative 2.5 to get Negative 12.5 + 2.5 n + 2 = 15." Tilana says, "I can begin by multiplying each side of the equation by Negative StartFraction 1 over 2.5 EndFraction to get 5 minus n minus 0.8 = negative 6." Which students are correct? only Shawna and Tilana only Shawna and Dexter only Dexter and Tilana Shawna, Dexter, and Tilana
Answer:
All three students are correct
Step-by-step explanation:
Given
Equation: -2.5(5 - n) + 2 = 15
Required
Which students are correct
To determine which of the students are correct; we have to test each of their solutions
SHAWNA
Statement: Dividing each side of the equation by –2.5 to get 5 - n - 2/2.5 = -15/2.5
[tex]\frac{-2.5(5 - n) + 2}{-2.5} = \frac{15}{-2.5}[/tex]
Split fractions
[tex]\frac{-2.5(5 - n)}{-2.5} + \frac{2}{-2.5} = \frac{15}{-2.5}[/tex]
Simplify each fraction
[tex]5-n - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]
Shawna is correct...
DEXTER
Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.
[tex]-2.5(5 - n) + 2 = 15[/tex]
Open brackets
[tex]-12.5 + 2.5n + 2 = 15[/tex]
Dexter is also correct...
TILANA
[tex]\frac{-1}{2.5}(-2.5(5 - n) + 2) = \frac{-1}{2.5} * 15[/tex]
Open brackets
[tex]\frac{-1}{2.5}(-2.5(5 - n)) + \frac{-1}{2.5}(2) = \frac{-1}{2.5} * 15[/tex]
Simplify each bracket
[tex](5 - n) + \frac{-2}{2.5} = \frac{-15}{2.5}[/tex]
[tex](5 - n) - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]
[tex]5 - n - 0.8 = -6[/tex]
Tilana is also correct
Hence, all three students are correct
Answer:
All of them are correct
Step-by-step explanation:
Evaluate 1 3 m − 1 − 1 2 n 3 1 m−1− 2 1 nstart fraction, 1, divided by, 3, end fraction, m, minus, 1, minus, start fraction, 1, divided by, 2, end fraction, n when m = 2 1 m=21m, equals, 21 and n = 1 2 n=12n, equals, 12.
Answer:
0
Step-by-step explanation:
Apparently, you want the value of ...
[tex]\dfrac{1}{3}m-1-\dfrac{1}{2}n = \dfrac{m}{3}-\dfrac{n}{2}-1\\\\=\dfrac{21}{3}-\dfrac{12}{2}-1=7-6-1\\\\=\boxed{0}[/tex]
The value of the given expression for the given variable values is zero.
#5 Find the distance between the points on the graph.
Answer:
approximately 12.04 units
Step-by-step explanation:
We'll use the Pythagorean Theorem to solve this problem.
There are two points here. The horizontal distance between them is 8 units and the vertical distance is 9.
According to the Pythagorean Theorem (or the Distance Formula), the distance between the two points is
d = √(8^2 + 9^2) = √(64 + 81) = √145 units, or approximately 12.04 units.
Help? Hello Help me please
Answer:
$562.75
Step-by-step explanation:
The future value formula is good for this.
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years.
Using your numbers, we find the account value to be ...
FV = $500(1 +.06/2)^(2·2) = $500·1.03^4 ≈ $562.75
There will be $562.75 in the account after 2 years.
What is the (10) for?
Answer:
2(10) is implied multiplication
Step-by-step explanation:
( 18+2) + 2(10) ÷4 -2
PEMDAS
Parentheses first
( 20) + 2(10) ÷4 -2
Then exponents ( we have none)
Then multiply and divide from left to right
20 + 20÷4 -2
20 + 5-2
Then add and subtract from left to right
25 -2
23
2(10) is implied multiplication
Answer:
23
Step-by-step equation
(18+2)+2(10)÷4-2
20+20÷4-2
20+5-2
25-2
23
5. The volleyball team has a double-header on Friday. The probability that they
will win both games is 38%. The probability that they will win just the first game is
70%, What is the probability that the team will win the second game given that
they have already won the first game?
Answer: 54.29%
Step-by-step explanation:
Given: The probability that they will win both games is 38%.
i.e. P( both games will win) =0.38
The probability that they will win just the first game is 70%.
P(first game will win) = 0.70
To find : P(second game will win| first game will win)
Using formula: [tex]P(B|A)=\dfrac{P(\text{both A and B})}{P(A)}[/tex]
So, P(second game will win| first game will win) = [tex]\dfrac{\text{ P( both games will win)}}{\text{P(first game will win)}}[/tex]
[tex]=\frac{0.38}{0.70}\approx0.5429=54.29\%[/tex]
Hence, the required probability = 54.29%
Tom finished reading 3/7 of a book in the first week, and he read 3/4 of the remainder in the second week. what fraction is left?
Answer:
1/7 is left
Step-by-step explanation:
What is left to read after the first week
1 - 3/7
7/7 - 3/7
4/7
He read 3/4 of this the second week
4/7 * 3/4
3/7 was read
4/7 - 3/7 is what is left
1/7 is left
Answer:
The correct answer is
Step-by-step explanation:
1/7 of the book is left to read.
Hope this helps....
Have a nice day!!!!
Someone pls help me . I also need to show work just in case my teacher ask me to send her a photo of my notebook .
Answer: (i) 3
(ii) 10
(iii) 1080
Step-by-step explanation:
(i) Coefficient is the number written before any variable.
Coefficient of x in [tex]3x+10=36[/tex] is 3.
(ii) Constant is a numerical term written without any variable.
Constant in [tex]2x+10=5x[/tex] is 10.
(iii) Let x be the number of miles Katie's family drive.
Since they charge $30 combined with $0.25 per mile drive.
So, Total charge = 0.25 x +30 ( in dollars)
If they charged $300, then
[tex]0.25 x +30 =300[/tex]
Subtract 30 from both sides, we get
[tex]0.25x=270[/tex]
Divide both sides by 0.25, we get
[tex]x=1080[/tex]
Hence, Katie drove 1080 miles.
Write an equation to model the distance between the point (2,4) and any point along the curve
y=4x3 + 1.
Answer:
Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].
Step-by-step explanation:
Use the distance formula:
D = √[(x2 - x1)^2 + (y2 - y1)^2].
So here it is
D = √[(2 - x)^2 + (4 - y)^2] where x,y is any point on the curve.
D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]
D = √ [(2 - x)^2 + (3 - 4x^3)^2]
5 times the quantity 7 minus a number f in an algebraic expression.
Answer:
(5*7)-f
Step-by-step explanation:
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Algebraic expressionAlgebraic expression is the combination of terms that consists of numbers and variables connected by arithmetic operators.
Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.
We need to write it in an algebraic expression
5 times a quantity. for product we use multiplication sign
For addition we use + sign and for difference we use minus sign .
5 times the quantity 7 means 5 multiplied by 7
[tex]5 \cdot 7[/tex]
5 times the quantity 7 minus a number f
subtract f from the expression we got
[tex]5 \cdot 7 -f[/tex]
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Learn more information about 'Algebraic expression ' here:
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need help please will give good rating and show work
Step-by-step explanation:
u just need to imagine it was x^2-17X+16 in the beginning and add square onto the x after u factorise. then solve the x. hope it helps
Meguel does not understand which digit is in the tenths location in the number 514.196 Where would it be located at
Answer:
first number after the decimal point
Step-by-step explanation:
after the decimal point is the tenths, hundredths, and thousandths place.
0.1 - tenths
0.09 - hundredths
0.006 - thousandths
Lines T U and R S intersect lines M N and P Q. Where line T U intersects with lines M N and P Q, right angles are formed. Lines M N and P Q are straight lines that are next to each other and they will never intersect. Lines T U and R S are next to each other and could intersect. Which two statements are both true?
c. Tu | MN and MN || PQ I am done with the interview
Tuesday 8 hours and 18 hours minutes Wednesday 7 hours and 54 minutes how many hours did Brett work in total this week
Answer:
(if you just add them together), it is 16 hours and 12 minutes
Step-by-step explanation:
8 hours plus 7 hours is 15 hours. 54 minutes plus 6 minutes is another hour. We then have 12 minutes left over. This could also be 16 1/5 hrs.
jika pola barisan aritmatika adalah -18,-22,-26,-30, maka u20 + u 22 adalah
Answer:
-196
Step-by-step explanation:
Di sini, berdasarkan urutan aritmatika, kita ingin mencari nilai dari suku ke-22 ditambah suku ke-20.
Dari urutan tersebut, kita bisa membuat beberapa potongan.
Suku pertama a dari barisan tersebut adalah -18 Perbedaan persekutuan d = -22 - (- 18) = -22 + 18 = -4
Untuk menghitung suku ke-20, kita menggunakan rumus untuk suku ke-n dari sebuah barisan, di mana n = 20
U20 = a + (20-1)
d U20 = -18 + 19 (-4) = -18 - 76 = -94
U22 = a + (22-1) d
U22 = -18 + 21d U22 = -18 + 21 (-4) U22 = -18 - 84 = -102 Jadi;
U22 + U20 = -102 + (-94) = -196
Suppose that the cost of renting a snowmobile is $37.50 for 5 hours.
a. If c represents the cost and ݄ represents the hours, which variable is the dependent variable?
b. What would be the cost of renting 2 snowmobiles for 5 hours? please and thanks ( i"ll give brainiest )
Find the area of the shaded region
A. 12 ft^2
B. 36 ft^2
C. 40.5 ft^2
D. 18 ft^2
Answer:
The shaded area is 18 ft^2
Step-by-step explanation:
First find the area of the total trapezoid
A = bh
A = 1/2 ( b1+b2) *h
= 1/2 ( 6+12) *6
= 1/2 ( 18)*6
=54
Now find the area of the triangle
A = 1/2 bh
= 1/2 ( 12) * 6
= 36
Subtract the triangle from the trapezoid
54-36
18
The shaded area is 18 ft^2
Answer:
D. 18 sq.ft
Step-by-step explanation:
Lets make it simple and short.
Area of a triangle is 1/2 b h
b = 6
h = 6
Area = 1/2 * 6 * 6
Area = 18 sq.ft
PLS HELP I WILL GIVE BRAINLIST AND A THANK YOU!!!!! :)
Answer:
A
Step-by-step explanation:
Both angles together are supplementary, or they add up to 180 degrees.
(3x+12)+x=180 degrees
Answer:A. (3x+12)+x=180
Step-by-step explanation:
Examine the table of input (x) and output (y) values below. What is the relationship between the input and output values? Write an equation for this relationship. input (x) –1 0 1 2 3 4 5 output (y) –4 –1 2 5 8 11 14 What do you notice about the relationship between the x and y values?
Answer:
Relationship: As the input increases by 1, the output increases by 3.
Equation: y=3x-1
~Hope this helps~
The graph of y=x^2 - 2x- 3 is shown above. What are the zeros and factors of y=x^2 - 2x -3
A. X=1 and x = -3;(x-1)(x+3)
B. X=-1 and x = -3;(x+1)(x+3)
C. X=1 and x = -3;(x-1)(x-3)
D. X=-1 and x = -3;(x+1)(x-3)
Answer:
zeros -1,3 and the factors ( x+1) (x-3)
Step-by-step explanation:
The zeros are where it crosses the x axis
It crosses at x=-1 and x=3
So the factors are ( x- -1) and ( x-3)
( x+1) (x-3)
Answer:
[tex]\boxed{x = -1, \ x = 3 \ \ ( x+1) (x-3)}[/tex]
Step-by-step explanation:
Zeros of the function:
The zeros of a function is when the y value is 0 or where the function crosses the x-axis.
The function crosses the x-axis at x = -1 and x = 3.
Factors of the function:
[tex]y=x^2 - 2x- 3[/tex]
Factor the right side.
[tex]y=x^2 +1x-3x- 3[/tex]
[tex]y=x(x +1) -3(x+1)[/tex]
Take (x + 1) common.
[tex]y=(x+1)(x-3)[/tex]
The factors are (x + 1) and (x - 3).
What collateral secures a mortgage?
O A.
5% of the purchase price of the house
B.
the house itself
C.
10% of the purchase price of the house
D.
none
Answer:
The House
Step-by-step explanation: