Answer: (-x, y-7)
Step-by-step explanation:
A reflection across the y-axis changes the sign of the x-value.
(x, y) → (-x, y)
Shifting down 7 units subtracts 7 from the y-value.
(-x, y) → (-x, y-7)
Fill in the blank with a number to make the expression a perfect square.
Answer:
16
Step-by-step explanation:
[tex] {w}^{2} - 8w + { {4}^{2} } \\ = {w}^{2} - 8w + \boxed{ 16} \\= (w-4)^2 [/tex]
Answer:
Step-by-step explanation:
a² + 2ab +b² = (a+ b)²
w² - 8w + _?___
a = w
2ab = -8w
2*w*b = -8w
b = -8w/2w
b = 4
8w = 2 * 4*w
w² - 8w + 4² =w² -8w + 16
What is the equation, in point-slope form, of the line that
is perpendicular to the given line and passes through the
point (-4, -3)?
2
y + 3 = -4(x + 4)
y + 3= -1/4x + 4)
y + 3 = 1/4x + 4)
y + 3 = 4(x + 4)
Answer:
the answer is y+3=1/4x+4
Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS: A) cos E = 312 + 392 – 2(31)(39) B) C) 562 = 392 – 2(39) ⋅ cos E D) 562 = 312 + 392 – 2(31)(39) ⋅ cos E
This question is incomplete because the options were not properly written.
Complete Question
Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS:
A) cos E = 31²+ 39² – 2(31)(39)
C) 56² = 39² – 2(39) ⋅ cos E
D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Answer:
D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Step-by-step explanation:
From the above diagram, we see are told to apply the law of cosines to solve for m∠E i.e Angle E
The formula for the Law of Cosines is given as:
c² = a² + b² − 2ab cos(C)
Because we have sides d , e and f and we are the look for m∠E the law of cosines would be:
e² = d² + f² - 2df cos (E)
e = 56
d = 39
f = 31
56² = 39² + 31² - (2 × 39 × 31) × cos E
Therefore, from the above calculation and step by step calculation, the option that applies the law of cosines correctly and could be solved to find m∠E
Is option D: 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Answer:
[tex]56^2 = 31^2 + 39^2 minus 2(31)(39) cos E[/tex]
Step-by-step explanation:
Hello, I just took the exam got the answer correct
310
Which law would you use to simplify the expression
quotient of powers
power of a quotient
product of powers
power of a product
power of a quotient
edge 2021
The law used to simplify the expression is quotient of powers.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, 3¹⁰ / 3⁴, we need to determine the law used to simply the expression,
3¹⁰ / 3⁴
For this case we have an expression formed by a division of powers of the same base in which we must apply a law to simplify said expression.
By the definition we have the property of the power quotient of the same base set:
xᵃ / xᵇ = x⁽ᵃ⁻ᵇ⁾
So, using the same,
3¹⁰ / 3⁴ = 3⁽¹⁰⁻⁴⁾ = 3⁶
Thus, to simplify the expression we must use the property of the power quotient of the same base.
Hence, the law used to simplify the expression is quotient of powers.
Learn more about expression, click;
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Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript negative 2? StartFraction x Superscript one-half baseline Over y z squared EndFraction StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction StartFraction y Superscript one-half Baseline Over x z squared EndFraction
Answer:
[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
Step-by-step explanation:
Given
[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]
Required
Find the equivalent
To find the equivalent of the given expression; we have to apply laws of indices;
As a law;
[tex]a^{-m} = \frac{1}{a^m}[/tex]
So; the expression [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] becomes
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}}*\frac{1}{z^2}[/tex]
This is further simplified to
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}} * z^2}[/tex]
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}z^2}[/tex]
Combine to form a single fraction
[tex]\frac{x^{\frac{1}{2}}*1}{y^{\frac{1}{4}}z^2}[/tex]
Multiply numerator
[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
The expression can not be further simplified
Hence [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] is equivalent to [tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
Answer:
c
Step-by-step explanation:
x has a exponent of -1 after multiplying 1/2 and -2, so x has to be in the denominator of the answer no matter what.
Hope this helped other than the guy above lol
steve can run 3.5 miles in 30 minutes. if he increases his rate by 1/2 mile per hour, how far will he run in 2 hours?
Answer:
15 miles
Step-by-step explanation:
Currently, he can run 3.5 * 2 = 7 mph. Adding 1/2 mph to that gives us 7.5 mph, so therefore, in 2 hours he can run 7.5 * 2 = 15 miles.
Answer:
15
Step-by-step explanation:
because its correct just did the thing.
Bob traveled 90 miles which was 83 1 3 % of his entire trip. How many miles did he have left?
Answer:
Bob has 18 more miles to go
Step-by-step explanation:
90 ÷ 83 1/3 • 100 = 108
108 - 90 = 18
18 miles
What is the cost of an $8,000 car including 5½% tax?
Answer:
Car Price:
$8,000.00
Interest Paid:
$492.48
Sales Tax:
$448.00
Total Cost:
$8,940.48
Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and ( 5 , − 8 ) (5,−8)left parenthesis, 5, comma, minus, 8, right parenthesis.
Answer:
y = - 3x + 7
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 ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
Answer:
y - 1 = -3(x - 2)
Step-by-step explanation:
Sounds as though you want the equation of the line through (2, 1) and (5, -8).
As we move from (2, 1) to (5, -8), x (the "run") increases by 3 and y (the "rise") decreases by 9. Thus, the slope of this line is m = rise / run = -9/3, or m = -3.
Let's use the point-slope formula for a straight line here: The point (h, k) is (2, 1) and the slope is -3. Then y - k = m(x - h) becomes:
y - 1 = -3(x - 2)
Help Please I'm Out Of Time ;(
Evaluate 2y² + y² / 3 for x = 1.5 and y = 3.
Show all of your work.
Answer: 6.25 IF my assumption is correct about the missing x!
The Other way around: 4.5 with 2x² + y² / 3
Step-by-step explanation: 2y² + y² / 3 assuming the 2nd y should have been x, 1st y is y, and all divided by 3
2(3)² + (1.5)² / 3
2(9) + 2.25 /3
18 + 2.25 /3
20.25/3
6.25
Edited to correct!________ OR 2y² + y² / 3 assuming the 1st y should have been x, 2nd y is y, and all divided by 3
2(1.5)² + (3)² / 3
2(2.25) + 9 / 3
4.5 + 9 /3
13.5 /3
4.5
Answer:
[tex]\frac{13.5}{3}[/tex]
Step-by-step explanation:
=> [tex]2x^2+y^2/3[/tex]
Where x = 1.5, y = 3
=> 2(1.5)²+(3)² / 3
=> 2(2.25)+9 / 3
=> 4.5 + 9 / 3
=> 13.5 / 3
=> [tex]\frac{13.5}{3}[/tex]
Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y - 5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that
represents Angelo's second cut.
PLEASE HELP!
Answer:
y=5x+6
Step-by-step explanation:
Please see attached
A doctor prescribes 500 milligrams of a therapeutic drug that decays by about 19% each hour.
a) To the nearest minute, what is the half-life of the drug?
b)
Write an exponential model representing the amount of the drug remaining in the patient's
system after t hours. (2 points)
c)
Use your formula to find the amount of drug that would remain in the patient's system after 24
hours. Round your answer to the nearest hundredth of a gram. (2 points)
Answer:
a) half life is 3h 17 minutes
b) function of residue drug after t hours with initial quantity = 500 mg
f(t) = 500 (0.81^t)
c) drug left in patient's system after 24 hours
= 0.00 grams (to the hundredth of a gram.
Step-by-step explanation:
Given:
Drug initial active weight, A = 500 mg
Residue active weight, f(t) = A 0.81^t
t = time in hours.
a) half life
Half life is T, such that f(T) = 0.5A =>
0.5A = A(0.81^t)
0.81^t = 0.5
t*log(0.81) = log(0.5)
t = log(0.5) / log(0.81) = -0.6931 / -0.2107 = 3.2894 hours
= 3 h 17.36 minutes
b) Equation of function of residue drug as a function of time t in hours
A=500 mg
f(t) = A(0.81^t) substitute A = 500 mg
= 500(0.81^t) mg
c) weight of residue drug after 24 hours to the hundredth of a gram.
t=24 hours
A=500
f(t) = 500(0.81^t) substitute t=24 hours
= 500(0.81^24)
= 3.181 mg
= 0.003181 g
Which function has the same graph as x+y= 11?
A. Ax) = -y + 11
B.
Rx) = -x + 11
C.
A x) = x-11
D.
*x) = y- 11
Answer:
the answer is b= -x+11
Answer:b
Step-by-step explanation:
1) Explain the Distributive Property in your own words.
2) Give an example that shows how to use the Distributive Property to rewrite a one-variable expression.
Answer:
The Distributive Property states that when a number in parentheses is next to a number, you distribute the number outside of the parentheses and multiply by each of the numbers in parentheses.
5(10+x)=5(10)+5(x)=50+5x
:)
HELP!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?
Answer:
21h miles
Step-by-step explanation:
The appropriate relation is ...
distance = speed · time
__
We are given that ...
biking time = h
walking time = 2h
running time = (1/4)(2h) = h/2
The total distance traveled is ...
total distance = biking distance + walking distance + running distance
= (10)(h) +(3)(2h) +(10)(h/2)
= 10h + 6h + 5h
total distance = 21h . . . miles
Answer:
21h miles
Step-by-step explanation:
The appropriate relation is ...
distance = speed · time
__
We are given that ...
biking time = h
walking time = 2h
running time = (1/4)(2h) = h/2
The total distance traveled is ...
total distance = biking distance + walking distance + running distance
= (10)(h) +(3)(2h) +(10)(h/2)
= 10h + 6h + 5h
total distance = 21h . . . miles:
explain the words and the connections of population ,area, urban,and density
Step-by-step explanation:
1. Population Area: this can be defined as a group of similar species
inhabiting/ co-existing in a defined location or space
2. Urban population: urban areas are often more developed areas with greater population than rural environments
it's the people living in cities.
3. Population density: this is a measurement of population per unit area..
Find the missing segment in the attached image
Answer:
The length of the missing segment is 24
Step-by-step explanation:
Given
The figure above
Required
Determine the missing segment
Let the missing segment be represented with x
Given that, there exist parallel lines between the two triangles;
The relationship between the sides of the triangles is as follows;
[tex]\frac{15}{x} = \frac{15+5}{8+x}[/tex]
[tex]\frac{15}{x} = \frac{20}{8+x}[/tex]
Cross Multiply
[tex]15 * (8 + x) = 20 * x[/tex]
Open bracket
[tex]15*8 + 15 * x = 20 * x[/tex]
[tex]120 + 15x = 20x[/tex]
Subtract 15x from both sides
[tex]120 + 15x -15x= 20x-15x[/tex]
[tex]120 = 20x-15x[/tex]
[tex]120 = 5x[/tex]
Divide both sides by 5
[tex]\frac{120}{5} = \frac{5x}{5}[/tex]
[tex]\frac{120}{5} = x[/tex]
[tex]24 = x[/tex]
[tex]x = 24[/tex]
Hence, the length of the missing segment is 24
NEED HELP ASAP!! The dot plot below shows the drawing scores of some students: Which statement best describes the shape of the data? A. It is symmetric and has a peak at 3. B. It is symmetric and has a peak at 5. C. It is not symmetric and has a peak at 3. D. It is not symmetric and has a peak at 5.
Answer:
I believe the answer Is A
Step-by-step explanation:
If its asking for the shape, the peak would be three because it has the most variables in it which is also 3 variables
What exactly is a 'Factorial'? Give Brainlist to the finest answer
hi
It's a kind of multiplication where you do a serie of multiplication starting from your number until one. It written with a "!" after the number.
ex : 3! = 3*2*1 = 6
10! = 10*9*8*7**6*5*4*3*2*1 = 2628800
Answer:
answer is below
Explanation:
A factorial multiplies a number by the numbers below it. A factorial also acts as a function.
An example of a factorial can be:
[tex]5!=5 \times 4 \times 3 \times 2 \times 1[/tex]
[tex]5!=120[/tex]
Factorial of zero is defined as 1.
Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hence find the zeroes.
Step-by-step explanation:
We khow the sum and the product of the zeroes of this quadratic polynomial
Here is a trick :
when we khow the sum S and the product P ofvtwo numbers we can find them by solving :
x²-Sx+p=0
here S= -8 and P=12
so:
x²+8x+12=0
Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12
Δ= 8²-4*12 =16
the zeros are:
(-8-4)/2= -6
(-8+4)/2 = -2
verify:
-6+(-2)= -8
-2*(-6)= 12
now the polynomial quadratic is:
(x+6)(x+2)
Choose the best answer that represents the property used to rewrite the expression.
log5 6 − log5 3 = log5 2
Answer:
The Quotient Property.
Step-by-step explanation:
Since all three logarithms have the same base (base-5), and you are subtracting 6 and 3, to solve this all you need to do is 6 / 3 because of the Quotient Property.
You aren't multiplying anything, so you wouldn't use the Product Property.
You are not messing around with powers, so you wouldn't use the Power Property.
And you aren't using addition or multiplication, so you wouldn't use the Commutative Property.
Hope this helps!
If a sample consists of the following data values, what is the sample mean?
13, 91, 44, 68, 54, 16, 88, 74
Answer:
mean =sum of all data values
total number of data
13+91+44+68+54+16+88+74
8
448
8
=56
therefore the mean is 56
Answer: 51
Step-by-step explanation:
The box-and-whisker plots below represent the scores for two basketball teams throughout an entire season of games. Which of the two teams had the highest score in a single game?
Answer:
90
Step-by-step explanation:
*One half of two fifths of x.
We can see this by looking at the max value of the bottom box plot. This is the tip of the whisker on the right. This value (115) is larger than the corresponding max for the Gophers (110).
A nautical mile is the unit of length used in sea and air navigation. A
nautical mile is equal to 6,174 feet. What percent of a statute mile, (5,360
feet) is a nautical mile? (Round to the nearest hundredth.)
Answer:
86.82%
Step-by-step explanation:
A nautical mile = 6,174 feet.
Statute mile =5,360 feet
The percentage of a statute mile to a nautical mile is calculated as:
5360/6174 × 100
= 0.8681567865 × 100
= 86.81567865%
Approximately to the nearest hundredth = 86.82%
Therefore, the percent of a statute mile that is a nautical mile rounded to the nearest hundredth is 86.82%
Help with this question(will gove thanks and brainlist)(Your suppose to determine the pattern and then fill in the 3 blanks)
Answer:
Step-by-step explanation
1. 8/9, 9/9, 10/9
2. 1/64, 1/128, 1/256
3. -39, -48, -57
Answer
8/9,1,1 1/9
1/64, 1/128, 1/256
Step-by-step explanation:
the second sequence you just add1\9 each time then the other one you just double the denominator.
A motor is 85.4 % efficient: that is, the output is 85.4 % of the input.
What is the input if the motor delivers 10.75 hp. ( Round your answer to 1
decimal place.)
Answer:
12.6 hp
Step-by-step explanation:
output of motor = 85.4% of input of motor.
Given that motor delivers 10.75 hp, it means output of motor is 10.75hp
Using both the given conditions
10.75 = 85.4% of input of motor
=> 10.75 = 85.4/100 * input of motor
=> input of motor = 10.75*100/85.4 = 1075/85.5 hp = 12.57 hp.
Input of motor rounded to 1 decimal place = 12.6 hp
1 kilogram
One ratio you could use for converting units is
1,000 grams
A. True
O B. False
Answer:
True
Step-by-step explanation:
For every kilogram, there are 1000 grams
What transformations were applied to ABC to obtain A'B'C'?
A. rotate 180 degrees counterclockwise, then shift 3 units down
B. rotate 270 degrees counterclockwise, then shift 3 units down
c. rotate 180 degrees counterclockwise, then shift 3 units up
D. rotate 270 degrees counterclockwise, then shift 3 units up
O
The required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.
What is the geometry across the coordinate plane transformation?Transform the coordinate plane's shapes by translating, rotating, or reflecting them. In the 19th century, Felix Klein introduced transformational geometry, a novel perspective on geometry.
Here,
In the graph, triangle ABC is transformed into triangle A'B'C' by a combination of rotation and translation. First, the triangle is rotated 270 degrees counterclockwise around the origin. Then, the resulting triangle is shifted 3 units down.
Thus, the required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.
Here's where you can find out more about transformation: brainly.com/question/18065245
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can anyone help me with these questions
Answer:
1. 31.14
2. 46
Step-by-step explanation:
1. Using order of operations, we first simplify what's in the parentheses, so we do 4.1-(-6.2), or 4.1+6.2. This gives us -5+3.8(10.3). Next is multiplication, so we do 3.8(10.3), which gets us to -5+39.14. Lastly, we add, to get 31.14.
2. First, we solve in the parentheses. Within the parentheses, we do multiplication first, so we first do 3*-2, to get us 8-4(-6+(-13))÷2. Then, we solve inside the parentheses, so we do -6+(-13), to get 8-4(-19) ÷2.
Next, since multiplication and division are on the same level, we go from left to right, so we do -4*-19 first, to get 8+76÷2. Now we do division, to get 8+38. Lastly, we add, to get 46.
Answer:
9) 34.14
10) 46
Step-by-step explanation:
Please hurry❗️❗️❗️!!!!!!
Which expression is equivalent to a+(C+7)?
О 7ac
O a-(C+7)
O (C+7)-a
0 (a+c) + 7
Answer:
The answer is (a+c) + 7
Since addition is associative a + ( C + 7) can also be written as (a+c) + 7
Hope this helps you
Answer:
(a+c)+7
Step-by-step explanation: This method is called associative property.
On addition changing the order brings no change to the answer. For example:- 2+3=3+2. but don't confuse this with multiplication. For example, if the question was a(c+7), then you are supposed to multiply c, + and 7 by a.
Hope it would help :)