Answer:
either x or y must equal 0
Step-by-step explanation:
ts given that xy = 0
Remember that product of two numbers can be zero only if:
Both of them are zero or Either of them is zero as zero multiplied to any non-zero number will always be equal to zero. This is known as Zero Product Property.
So, if the product of x and y is equal to 0 there are two possibilities:
Both x and y are equal to 0
Either x or y must be equal to 0
Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.
Hence, the condition which has to be true in all cases for xy = 0 is:
either x or y must equal 0
Given that xy = 0.
Remember that product of two numbers can be zero only if:
Both of them are zero or Either of them is zero as zero multiplied by any non-zero number will always be equal to zero. This is known as Zero Product Property.
So, if the product of x and y is equal to 0 there are two possibilities:
Both x and y are equal to 0
Either x or y must be equal to 0
Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.
How can we say an expression is zero?A rational expression is zero when the numerator is zero. To find the values that make a rational expression zero, we set the numerator equal to zero and solve the resulting equation.
Learn more about expression here: https://brainly.com/question/723406
#SPJ2
Point S is located on RT so that RS/ST = 1/4. What are the coordinates of point S?
(5,5)
(8sqrt2, 8sqrt2)
(10, 10)
(4sqrt2, 4sqrt2)
Answer:
5,5
Step-by-step explanation:
(5, 5)
This is very correctamundo
What kind of equation is this ? Y= 1/2 x
A) inverse variation
B) linear equation
C) joint variation
D) direct variation
Find the probability given that each set of events is independent: drawing a 3 from 5 cards numbered 1 through 5 and rolling an even number on a number cube. A 3/30 = 1/10 b 4/30 = 2/15 c 2/30 = 1/15 d None of the above
Answer:
1/10
Step-by-step explanation:
So first we need to find the probability of the cards, there is 5 cards and one card needs to be chosen, so the probability is 1/5
Then we need to find the probability of the dice, there is 3 even numbers in 1,2,3,4,5,and 6, so the probablity is 3/6 which is also equal to 1/2
Finaly we need to multiply 1/5 with 1/2, which is 1/10
what is 8x-8 less than or equal to -72
Answer:
-8
Step-by-step explanation:
x less than or equals to -8
Answer:
If you are moving up the line toward the 0, the answer would be more than
If you are moving down the line, -72 would be more than -64.
Step-by-step explanation:
8 times negative 8 is -64 --- I think
A town has a population of 17000 and grows at 4% every year. What will be the population after 12 years, to the nearest whole number?
Answer:
27218
Step-by-step explanation:
y= 17000 (1.04) ^12
y=27217.54772
y= 27218
If a town has a population of 17000. The population after 12 years, to the nearest whole number is 27,218.
PopulationUsing this formula
A=P(1+r/100)^n
Let plug in the formula
A= 17000 (1+.04) ^12
A= 17000 (1.04) ^12
A=17000×1.601032
A=27217.54
A=27218 (Approximately)
Therefore the population after 12 years, to the nearest whole number is 27,218.
Learn more about population here:https://brainly.com/question/25630111
3 less than the quotient of 18 and a number m in algebraic expression
Answer:
18/m - 3
Step-by-step explanation:
Meauring the speed of a car at 60 mph would be an example of quantitative data.
True
False
Answer:
True
Step-by-step explanation:
Expand: In
2a3/b4
a)ln 2 + 3 ln a - 4 ln b
b)ln 2 - 3 ln a - 4 ln b
c)ln 2 - 3 ln a + 4 ln b
Answer:
A
Step-by-step explanation:
option A is correct, 2a³/b⁴ is expanded to log2+3loga-4logb
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 2a³/b⁴
We have to expand this by using logarithms.
logab=loga +log b
log(a/b)=loga-logb
log(2a³)/log(b⁴)
log2+loga³ - log(b⁴)
Another property of logarithm
logaˣ=xloga
log2+3loga-4logb
Hence, option A is correct, 2a³/b⁴ is log2+3loga-4logb
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ6
Write as a product. 5a–5a^2–10a^4
Answer:
-5a(2a^3+a-1)
Step-by-step explanation:
I factored -5a out of 5a -5a^2-10a^4
hope this helped you
Final answer:
The given expression 5a−5a²−10a⁴ is factored as a product by factoring out the common factors, resulting in 5a(1 - a - 2a³).
Explanation:
To write the expression 5a−5a²−10a⁴ as a product, we need to factor out the common factors in each term. The term with the lowest exponent in 'a' is '5a', which indicates we can factor out 'a' from the entire expression. However, we can also factor out a '5' since it is common to all terms. Here are the steps:
First, identify the common factors in the terms which are '5' and 'a'.Factor out '5a' from each term in the expression.Doing this, we get: 5a(1 - a - 2a³)
The expression can now be expressed as the product of '5a' and '(1 - a - 2a³)'.
Step 4: Factor the function to find the x-intercepts.
The x-intercepts are:
Answer:
(5,0) and (-1,0)
Step-by-step explanation:
A rocket is launched from atop a 104-foot cliff with an initial velocity of 110 ft/s. A. Substitute the values into the vertical motion formula . Let h = 0. B. Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
Answer:
7.68 s
Step-by-step explanation:
The vertical motion formula is:
[tex] h_{t} = h_{0} + v_{0}t - \frac{gt^{2}}{2} [/tex]
Where:
h(t): is the final height = 0
h(0): is the height of the cliff = 104 foot
v(0): is the initial velocity = 110 ft/s
g: is the gravity = 9.8 m/s² = 32.15 ft/s²
Hence, from the vertical motion formula we can find the time that will take the rocket to hit the ground:
[tex] 0 = 104 + 110*t - \frac{32.15t^{2}}{2} [/tex]
[tex] 0 = 104 + t(110 - 16.08t) [/tex]
We have two solutions:
t₁= -0.84 s
t₂ = 7.68 s
We will take the positive value, thus the time that will take the rocket to hit the ground is 7.68 s.
I hope it helps you!
Exit
8-8: MathXL for School: Practice & Problem Solving
(x) 8.8.PS-14
E Question Help
A box has the shape of a rectangular prism with height 32 cm. If the
height is increased by 0.9 cm, by how much does the surface area of the
box increase?
32 cm
Use pencil and paper. Show your work. Then show a second way to
19 cm
7.2 cm
Answer:
47.16 Square centimeters
Step-by-step explanation:
Width=7.2cm
Length =19cm
Height =32cm
Surface Area=2(LW+LH+WH)
=2(19*7.2+19*32+7.2*32)
Surface Area [tex]=1950.4 cm^2[/tex]
When the height is increased by 0.9cm
Height =32.9cm
Surface Area=2(LW+LH+WH)
=2(19*7.2+19*32.9+7.2*32.9)
Surface Area [tex]=1997.56 cm^2[/tex]
Difference in Surface Area=1997.56-1950.4
=47.16 Square centimeters
An alternative way is to calculate the surface area dealing with the height only using the height difference,
Difference=2(LH+WH)
=2(19*0.9+7.2*0.9)
=47.16 Square centimeters
If 2 liters of sea water contain 70 grams of salt, how much salt is in 32 liters of sea water?
Answer:
1120 grams
Step-by-step explanation:
The amount of sea water is directly proportional to the amount of salt in the water.
Let the amount of sea water be W and the amount of salt be S.
This means that:
W α S
=> W = kS
where k = constant of proportionality
2 liters of sea water contain 70 grams of salt Therefore:
2 = k * 70
k = 2 / 70 = 1/35
Therefore, for 32 liters of sea water:
32 = 1/35 * S
S = 35 * 32
S = 1120 grams
There are 1120 grams of salt in 32 liters of water.
A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
Write your answer using the form y=mx+b.
Please i need help ASAP
Answer:
y = 4x-7
Step-by-step explanation:
We have a slope and a point
m = 4 (2,1)
Using the slope intercept form of the equation
y = mx+b
y = 4x+b
From the point x=2 and y =1
1 = 4(2)+b
1 = 8+b
Subtract 8 from each side
1-8 =8-8+b
-7 = b
We can write the equation by using m=4 and b = -7
y = 4x-7
Answer:
y = 4x - 7
Step-by-step explanation:
y = mx + b
y = 4x + b
1 = 4(2) + b
b = 1 - 8
b = -7
y = 4x - 7
When finding the POWER of a term with an exponent, you do what?
Can a triangle with the angles of 0, 90 , and 90 be considered a triangle?
A "triangle" with the angles 0, 90, and 90 degrees cannot be considered a triangle since the two 90 degree angles make a right angle, and 0 degrees would mean a flat line. Rather it would resemble something like a straight U that is stretched sideways.
Final answer:
A figure with angles of 0, 90, and 90 degrees cannot be considered a triangle because the angles must sum to 180 degrees and each angle must be greater than 0 degrees and less than 180 degrees to form a three-sided figure.
Explanation:
A triangle is defined as a three sided figure lying on a plane, with three angles that add up to 180 degrees. In the case of the angles provided (0, 90, and 90), they do not add up to 180 degrees; instead, they sum up to 180 degrees if you exclude the 0-degree angle, which cannot be a valid angle for a triangle since every angle in a triangle must be greater than 0 degrees and less than 180 degrees. Therefore, a figure with angles of 0, 90, and 90 degrees cannot be considered a triangle.
In addition, the shape with two 90-degree angles would be a straight line, which does not meet the criteria of a triangle having three sides. An example of a valid right-angled triangle is one having angles of 90, 45, and 45 degrees, which correctly sum up to 180 degrees and form a closed three-sided figure.
is Circumference of a circle same as area?
Answer:
The circumference of a circle is not the same as the area of the circle because the circumference represents the distance around the circle while the area represents the amount of space within the circle. Hope this helps.
Answer:
No
Step-by-step explanation:
The circumference of a circle is the distance around the outside of the circle. It is similar to the perimeter of other shapes such as squares.
Hope this helps! :)
A pair of sneakers was reduced from $127 to $85. What was the percent of change?
Find the difference:
$127 - $85 = $42
Divide the difference by the original price:
42 / 127 = 0.3307
Rounded to 2 decimal places = 0.33
Multiply by 100:
0.33 * 100 = 33% decrease
Answer: it was reduced by 33%
Step-by-step explanation:
127x0.67 is 85.09 which is about 33%
James, a real estate appraiser is looking at homes in the 78681 zip code. He takes a random sample of 42 homes form the Austin MLS (that's where Realtors go for information) and finds that 29 of them are listed as "eclectic" style. What is the 80% confidence interval for the proportion of homes that are "eclectic"?
Answer:
80% confidence interval for the proportion of homes that are "eclectic" is [0.59 , 0.78].
Step-by-step explanation:
We are given that James takes a random sample of 42 homes form the Austin MLS (that's where Realtors go for information) and finds that 29 of them are listed as "eclectic" style.
Firstly, the pivotal quantity for 80% confidence interval for the population proportion is given by;
P.Q. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of homes that are "eclectic" = [tex]\frac{29}{42}[/tex] = 0.69
n = sample of homes = 42
[tex]\mu[/tex] = population proportion of homes that are "eclectic"
Here for constructing 80% confidence interval we have used One-sample z proportion statistics.
So, 80% confidence interval for the population proportion, p is ;
P(-1.282 < N(0,1) < 1.282) = 0.80 {As the critical value of z at 10% level
of significance are -1.282 & 1.282}
P(-1.282 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.282) = 0.80
P( [tex]-1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.80
P( [tex]\hat p-1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.80
80% confidence interval for p = [ [tex]\hat p-1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex],[tex]\hat p+1.282 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]]
= [ [tex]0.69-1.282 \times {\sqrt{\frac{0.69(1-0.69)}{42} } }[/tex] , [tex]0.69+1.282 \times {\sqrt{\frac{0.69(1-0.69)}{42} } }[/tex] ]
= [0.59 , 0.78]
Therefore, 80% confidence interval for the proportion of homes that are "eclectic" is [0.59 , 0.78].
In a city school of 1200 students 42% of the students are on the honorable 64% have a part time job and 28% are on the honor roll and have a part-time job what is the probability that a randomly selected student is on the honor roll given that the student has a part time job
Answer:
[tex]P(H|P) = \frac{P(H \cap P)}{P(P)}[/tex]
And replacing we got:
[tex] P(H|P) =\frac{0.28}{0.64}= 0.4375[/tex]
And the probability required for this case is 0.4375
Step-by-step explanation:
For this case we define the following events:
H = represent that the student is honorable
P= represent that the student have a part time job
And we have the following probabilities:
[tex] P(H) = 0.42 , P(P) = 0.64, P(H \cap P) =0.28[/tex]
And we want to find this probability:
[tex] P(H|P)[/tex]
And we can use the following probability:
[tex]P(H|P) = \frac{P(H \cap P)}{P(P)}[/tex]
And replacing we got:
[tex] P(H|P) =\frac{0.28}{0.64}= 0.4375[/tex]
And the probability required for this case is 0.4375
If the surface area of the box of cereal below is 272 in?, find the length of the box.
CEREAL
12 in
2 in
1=?
Answer:
x = 8 inches length
Step-by-step explanation:
Dimension of box:
12 inches by 2 inches by length x
with total surface area = 272 square inches,
There are 6 faces.
Area = 2 *(12 * 2) + 2 *(2*x) + 2 *(12*x)
Area = 272 sq. in. = 48 + 4x + 24x
272 = 48 + 28x
272 - 48 = 28x
224 = 28x
x = 8 inches
To find the length of the box, use the surface area formula of a rectangular prism and solve for the length. The length of the box is 59 inches.
Explanation:To find the length of the box, we need to calculate the dimensions of the cereal box. The surface area of a rectangular prism is given by the formula: Surface Area = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the box. From the given information, we have:
12(2) + 12(1) + 2(2)x = 272
Simplifying the equation gives us: 24 + 12 + 4x = 272
Combining like terms, we have 4x + 36 = 272. Subtracting 36 from both sides gives us 4x = 236. Finally, dividing by 4 gives us x = 59.
Therefore, the length of the box is 59 inches.
Learn more about Surface Area of a Rectangular Prism here:https://brainly.com/question/36027675
#SPJ2
[THIRTY POINTS]Which could be used to solve this equation? 3 and one-fifth + n = 9 Subtract 3 and one-fifth from both sides of the equation. 3 and one-fifth minus 3 and one-fifth + n = 9 + 3 and one-fifth Add 3 and one-fifth to both sides of the equation. 9 + 3 and one-fifth = 12 and one-fifth
Answer:
First one:
Subtract 3 and one-fifth from both sides of the equation
Step-by-step explanation:
3 and one-fifth + n = 9
3⅕ + n = 9
3⅕ + n - 3⅕ = 9 - 3⅕
n = 5⅘
Answer:
first choice
Step-by-step explanation:
give brainileast to the other guy plas
THIS IS A QUESTION FOR WOLLFGIRL Write out 2-4 sentences about which advertisement would give you the "best deal"
Answer:
answers are highlighted below! I hope this helps! please do not copy my work! ^-^ :)
Step-by-step explanation:
okay, on the first one we are told we have 15% off of $729.99
which then takes off about $109.50
after we subtract the $109.50 from the $729.99 we are left with $620.49, that's not including tax
sales ax is 8.25% or $51.19 that comes out to equal $671.69
so we can conclude that the big tv sale at the big box store is equal to the amount of $671.69
on the second one, its normally $699.99
we have the coupon for $100 off of that price so that leaves us with $599.99
but we have the $50 charge for delivery. so now its at $649.99
now we need to determine the price after tax. the price of tax is $53.62
add the tax amount to $649.99 to get $703.61
$703.61
the initial price of the tv is $734.95
$150 in rebate (refund)
$734.95 - $150 = $584.95
now we need to find the price including the delivery cost
$584.95 + $35 = $619.95
now lets find the tax price
$51.15
After Tax Price: $671.10
The TV from the Electronic Warehouse is the best option. You pay only $671.10! The prices from the two other stores are $703.61 and $671.69.
We are paying .59 cents less than one of the TV's, and we are also paying $32.51 less than the other TV! So the best option would be the TV from the Big Box store!
What does the word FAITH mean?
Answer:
Faith means to believe in something you cannot see.
Step-by-step explanation:
An example can be oxygen. To a naked eye, you cannot see oxygen, yet you "believe" that it is there, or you have faith that there is oxygen around you to sustain you.
This is what faith is, the belief of something that you cannot see with the naked eye.
~
Answer:
Faith is a trust or confidence in a person, object, or concept.
Example:
"The dog remained faithful to his owner."
"They lost faith when he lied to them."
Which statements about the function are true? Select two
options.
The vertex of the function is at (1,-25).
The vertex of the function is at (1,-24).
The graph is increasing only on the interval -4< x < 6.
The graph is positive only on one interval, where x <-4.
The graph is negative on the entire interval
4
Answer:
The vertex of the function is at (1,-25)
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one.
Part of the graph of the function f(x) = (x + 4)(x-6) is shown below.
Which statements about the function are true? Select two
options.
The vertex of the function is at (1,-25).
The vertex of the function is at (1,-24).
The graph is increasing only on the interval -4< x < 6.
The graph is positive only on one interval, where x <-4.
The graph is negative on the entire interval
My answer:
Given the factored form of the function:
f(x) = (x + 4)(x-6)
<=> f(x) = [tex]x^{2} - 2x -24[/tex]
We will convert to vertex form
<=> f(x) = ([tex]x^{2} - 2x +1[/tex]) - 25
<=> f(x) = [tex](x-1)^{2} -25[/tex]
=> the vertex of the function is: (1,-25)
We choose: a. The vertex of the function is at (1,-25)
Let analyse other possible answers:
c. The graph is increasing only on the interval -4< x < 6.
Because the parameter a =1 so the graph open up all over its domain and the vertex is the lowest point.
So the graph is increasing in the domain (1, +∞)
=> C is wrong
d. The graph is positive only on one interval, where x <-4
Wrong, The graph is positive only on one interval, where x > 6
e. The graph is negative on the entire interval
Wrong, The graph is negative only on one interval, where -4< x < 6.
HELP ME PLZZ
The absolute value of a number is .|2| =
Answer:
The absolute value of a number is a distance /2/=2
Step-by-step explanation:
The absolute value of the absolute expression |2| will be 2.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute expression is given below.
⇒ |2|
The value will be always positive when the value inside the mode is taken out. Then we have
⇒ |2|
⇒ 2
The absolute value of the absolute expression |2| will be 2.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
solve T = 7c-2d for d.
Answer:
[tex]d = \frac{t - 7c}{ - 2} [/tex]
Hope this helps at all. :)
To solve for d in T = 7c - 2d, isolate the variable d by moving the term with d to the other side of the equation and simplifying.
Explanation:To solve for d in the equation T = 7c - 2d, we need to isolate the variable d. First, we'll start by moving the term with d to the other side of the equation.
Step 1: Add 2d to both sides of the equation.
T + 2d = 7c
Step 2: Now, we'll isolate the variable d by subtracting T from both sides of the equation.
2d = 7c - T
Step 3: Finally, divide both sides of the equation by 2 to solve for d.
d = (7c - T)/2
Learn more about Solving equations here:https://brainly.com/question/18322830
#SPJ2
Which function represents exponential growth
Answer:
The answer is this.
[tex]y = 4x {}^{2} [/tex]
Hope this helps ya.
☆CHEERS!☆
what is the equation of this line
is meter and milimeter the same thing
Answer: no, it does not mean the same thing
Answer: No, a millimeter is much smaller than a meter.
Step-by-step explanation: