Answer:
irrational
Explanation:
What a rational is:
a number that can be given as the ratio of two integers
We know that √2 cannot be given as a ratio of two integers.
(√7 also cannot be given as a ratio of two integers)
[What an irrational number is:
a number that cannot be given as the ratio of two integers]
This makes √2 and √7 irrational numbers.
When subtracting √2 from anything, (other than √2) you end up with an irrational number. [or √7]
0 - √2 = irrational
10204 - √2 = irrational
4 - √2 = irrational
So, when subtracting √2 from √7, (finding the difference between the two), we are left with an irrational number.
Jada wanted to construct a line perpendicular to line L through point C. The diagram shows her construction. What was her mistake?
Answer:
Perpendicular lines are 90 degrees on their central angle.
Step-by-step explanation:
1. Draw the line L with a meter-rule and a pencil.
2. extend the hand of the protractor beyond the radius of the line and bisect the line L, by placing the protractor pin on both ends of the line and marking up and down.
3. Join the points where the markings meet drawing a line through C which is the center of the line L.
Estimate by rounding the divisor to the nearest tens place and the dividend to the nearest
compatible number. Then find the quotient.
Enter the remainder, if any, as a fraction in simplest form.
59 ) 5,613
The estimate is?
The quotient is?
Answer:
lil mosey
Step-by-step explanation:
Someone simplify this for me please
Answer:
9(-a-1-c^2/9)
Step-by-step explanation:
Answer:
a = -c^2/9 -1
Lucy has $7 less than Kristine and $5 more than Nina together,the three have $35 how much does Lucy have?
Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.
Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.
According to the given information, we can form two equations:
Lucy has $7 less than Kristine: L = K - 7
Lucy has $5 more than Nina: L = N + 5
We also know that the three of them have a total of $35: K + L + N = 35
We can solve this system of equations to find the values of K, L, and N.
Substituting equation 1 into equation 3, we get:
K + (K - 7) + N = 35
2K - 7 + N = 35
Substituting equation 2 into the above equation, we get:
2K - 7 + (L - 5) = 35
2K + L - 12 = 35
Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:
2K + (K - 7) - 12 = 35
3K - 19 = 35
Adding 19 to both sides:
3K = 54
Dividing both sides by 3:
K = 18
Now we can substitute the value of K into equation 1 to find L:
L = K - 7
L = 18 - 7
L = 11
Finally, we can find the value of N by substituting the values of K and L into equation 3:
K + L + N = 35
18 + 11 + N = 35
N = 35 - 18 - 11
N = 6
Therefore, Lucy has $11.
Learn more about Kristine from
https://brainly.com/question/27244350
#SPJ11
HALPPPPPPP!!!!!!!!!!!! PLSSSS
Answer:
The equation is y = x(x-12)
Vertex form
is y = a(x-6)^2 + 4
where a is -1/9
Step-by-step explanation:
For the general equation, we have the roots at x = 0 or x = 12
so we have x and x -12
So we have the equation as;
y = (x-0)(x-12)
y = x(x-12)
y = x^2 - 12x
The vertex form equation of a quadratic equation is;
y = a(x-h)^2 + k
where (h,k) represents the vertex which we have above as (6,4)
So while substituting 6 for h, we have 4 for k
So we have it that;
y = a(x-6)^2 + 4
Substituting 0 for x and 0 for y, we have it that;
0= a(0-6)^2 + 4
0 = 36a + 4
-4 = 36a
a = -4/36
a = -1/9
use the pythagorean Theorem to find the missing length of the hypotenuse
C=
Answer:
300
Step-by-step explanation:
do 15 times 20 and that should make 300.
hope this helps
Which equation reveals the minimum or maximum value of f (x) without changing the form of the equation?
)A) ƒ (x) = (x+3)(x − 4)
(B) ƒ (x) = x² - 8x +15
(C)ƒ (x) = (x + 2)² − 1
(D) f(x) =x^2 +2x -1
The function has a minimum if the x2 coefficient is positive. If it is negative, the function has reached its limit. If you have the function 2x2+3x-5, for example, the function has a minimum because the x2 coefficient, 2, is positive. Divide the x term coefficient by twice the x2 term coefficient.
What exactly is an equation?A formal statement of the equality or equivalence of two mathematical or logical expressions. : a quantitative expression representing a chemical reaction using chemical symbols.A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. After solving this equation, we obtain the value of the variable x as x = 7.An equation is made up of expressions that have the same value. A formula is a two- or more-variable equation that represents a relationship between the variables.Hence, The function has a minimum if the x2 coefficient is positive. If it is negative, the function has reached its limit. If you have the function 2x2+3x-5, for example, the function has a minimum because the x2 coefficient, 2, is positive. Divide the x term coefficient by twice the x2 term coefficient.
To know more about equation refer to:
https://brainly.com/question/2972832
#SPJ13
Compute f′(a) algebraically for the given value of a. f(x)=−7x+5;a=−6
The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.
To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.
This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.
Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:
f(x) = −7x + 5
⇒ f′(x) = d/dx (−7x + 5)
⇒ f′(x) = d/dx (−7x) + d/dx(5)
⇒ f′(x) = −7(d/dx(x)) + 0
⇒ f′(x) = −7⋅1 = −7
Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7
Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.
Learn more about Power Rule here:
https://brainly.com/question/23418174
#SPJ11
A 3-column table with 3 rows. Column 1 is labeled Vehicle with entries Sedan, Minivan, Truck. Column 2 is labeled Miles Traveled with entries 630, 798, 864. Column 3 is labeled Gasoline Used (gallon) with entries 35, 42, 54.
Find the unit rate of miles per gallon for these vehicles
Sedan:
Minivan:
Truck
Answer:
Sedan =18
minivan=19
truck=16
Step-by-step explanation:
The Hernandez family is on a road trip. They have been driving for 312 hours. They have listened to 4 CDs of equal length.
Part A
How long was each CD?
Part B
If the family has 1 hour of their drive left, how many CDs will they be able to listen to in the final hour?
The Hernandez family can listen each for 78 hours.
Given that, the Hernandez family is on a road trip. They have been driving for 312 hours. They have listened to 4 CDs of equal length.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Part A
Let the length (number of hours) of each CD be x.
Now, x = 312/4
= 78 hours
Part B
If the family has 1 hour of their drive left, still they can listen 4 CDs.
Therefore, the Hernandez family can listen each for 78 hours.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ1
If the point (3,4) is 6 units above the point P(x,y) and 11 units to the right of it, then what are the coordinates of the point P(x,y)?
Answer:
x = 3+11
y = 4 - 6
P(x,y) = P(15,-2)
Answer:
Step-by-step explanation:
x - Coordinate = 11 units to the right of 3 = 3 + 11 = 14
y -Coordinate = 6 units above 4 = 4 + 6 = 10
P(14 , 10)
Suppose y varies inversely with x, and y = 49 when x = 17
. What is the value of x when y = 7 ?
Answer:
119 is the value of x when y = 7
Step-by-step explanation:
Since y varies inversely with x, we can use the following equation to model this:
y = k/x, where
k is the constant of proportionality.Step 1: Find k by plugging in values:
Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality. We can find k by plugging in 49 for y and 17 for x:
Plugging in the values in the inverse variation equation gives us:
49 = k/17
Solve for k by multiplying both sides by 17:
(49 = k / 17) * 17
833 = k
Thus, the constant of proportionality (k) is 833.
Step 2: Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:
Plugging in the values in the inverse variation gives us:
7 = 833/x
Multiplying both sides by x gives us:
(7 = 833/x) * x
7x = 833
Dividing both sides by 7 gives us:
(7x = 833) / 7
x = 119
Thus, 119 is the value of x when y = 7.
what's the free-haul volume from sta. 20 to sta. 50 in cubic yard?
The free-haul volume from Station 20 to Station 50 in cubic yards cannot be determined without additional information.
To calculate the free-haul volume, one needs to know the distance between Station 20 and Station 50, as well as the cross-sectional area of the material being hauled. Without this information, it is impossible to determine the volume of material that can be transported without incurring additional hauling costs.
In general, free-haul volume refers to the amount of material that can be transported without incurring additional costs beyond the initial cost of mobilizing the hauling equipment.
This is typically determined by the distance between the excavation site and the location where the material will be used, as well as the properties of the material being transported. Knowing the free-haul volume is important in order to optimize the hauling process and minimize costs. However, without additional information, it is not possible to determine the free-haul volume from Station 20 to Station 50 in cubic yards.
Learn more about Volume:
brainly.com/question/28058531
#SPJ11
Damian is building a display case to hold
75 model cars. The case will have fewer
than 10 shelves, and each shelf will hold
no more than 15 cars. If Damian wants
each shelf to have the same number of
cars, how many shelves should he put in
the display case?
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.
A company packages pencil lead for mechanical pencils.
The pencil lead is packaged in lengths of 0.025 m. How
many of these shorter pieces can be cut from a strip of
pencil lead that is 2.4 m long?
Answer: 96
Step-by-step explanation:
From the question, we are informed that a pencil lead is packaged in lengths of 0.025 m. To get the number of the shorter pieces can be cut from a strip of pencil lead that is 2.4 m long, we have to divide 2.4 by 0.025. This will be:
= 2.4 / 0.025
= 96
Therefore, 96 shorter pencils can be gotten
Answer:
96
Step-by-step explanation:
(0v0) '
PLEASEEEEEEE HELP SOMEONE WHO DOESNT NO MATH
Answer:
yes, this is a function because each x value is paired with with exactly one y value (the first one in the multiple choice)
Step-by-step explanation:
For something to be a function an input can have only one output. Multiple different inputs can have the same output, but not the other way around.
Candice leaves on a trip driving at 25 miles per hour.four hours later,her sister liz starts from the same location driving at 50 miles per hour.how long after liz leaves home will she catch up to candie
Answer:
Step-by-step explanation:
Candice = 25mph for 4 hours.
Candice has driven= 25 * 4= 100miles.
Liz =50mph
Liz time to catch up to candice= 50 * 2= 100miles.
Therefore, It would have taken Liz two hours to catch up with Candice
11(7+9) using distributive property
Answer:
176
Step-by-step explanation:
Apply PEMDAS
Solve the parenthesis first
11 ( 7 + 9 )
11 ( 16 )
Now open the parenthesis and you will have your answer
11 times 16
176
In Exercises 21-24, find the unit vector ū in the direction of V. 24. v= 2, -2,2) A weight of p lb is suspended from a chain of length while a constant force of pushes the weight to the right, making an angle of with the vertical, as shown in the figure below plb w In Exercises 33–36, a force F, and length are given Find the angle and the height the weight is lifted as it moves to the right 33. Fw=11b, {= 1ft, f = 1ft, p=1lb
The unit vector ū in the direction of V is (1/√3, -1/√3, 1/√3). To find the unit vector ū in the direction of vector V = (2, -2, 2), we need to normalize the vector by dividing each component by its magnitude.
Magnitude of V = √(2^2 + (-2)^2 + 2^2) = √(4 + 4 + 4) = √12 = 2√3. Normalized vector ū = V / ||V|| = (2/2√3, -2/2√3, 2/2√3) = (√3/√3, -√3/√3, √3/√3) = (1/√3, -1/√3, 1/√3). Therefore, the unit vector ū in the direction of V is (1/√3, -1/√3, 1/√3).
Regarding the second part of your question, it seems to involve a different context related to forces and lengths, with values given for F, ℓ, and f. However, it's not clear what specific calculations are required or how they relate to the given values.
To learn more about unit vector click here: brainly.com/question/1615741
#SPJ11
a plane can fly 7 miles per minute. the plane will fly 8 trips, and each trip is 810 miles. how many hours will the plane fly? show your work
Answer: 12 hours and 24 Minutes
Step-by-step explanation:
7*60 = 420
810/420 = 1.9285
93- 100 = 53-60
subtract 40 from 93.
1.53*8 = 12.24
Answer: 12 hours and 24 Minutes
Solve this system of equations by
using the elimination method.
x - 5y = 16
4x - 2y = -8
( , )
Answer:
\(x = - 4\)
\(y = - 4\)
Step-by-step explanation:
Looking at these equations, we can see neither x or y have the same coefficient. Therefore, we need to multiply or divide, to make either the x or the y the same. It's less of a hassle to make the Xs the same, so let's do that. Taking the top equation and multiplying it by 4, we get:
\(4x - 20y = 64\)
Now let's subtract the top equation from the bottom equation, leaving us with a third equation:
\( - 18y = 72\)
Divide 72 by -18 to get
\(y = - 4\)
Now let's substitute into our first equation to find X:
\(x + 20 = 16\)
Leaving us with:
\(x = - 4\)
Now let's substitute into the second equation to check our solution is correct:
\( - 16 + 8 = - 8\)
This is correct, so the answer is X and Y are both equal to -4
The product of two find the other numbers is number. 2.0016. If one of them is 0.72
The two numbers are 0.72 and 2.780 when the product is 2.0016.
Let x be the other number that when multiplied with 0.72 gives us the product of 2.0016. We can set up the following equation:
0.72 * x = 2.0016
To solve for x, we can divide both sides of the equation by 0.72:
x = 2.0016 / 0.72
x ≈ 2.780
Therefore, the two numbers are 0.72 and 2.780.
We can check our answer by multiplying these two numbers together:
0.72 * 2.780 ≈ 2.0016
Our answer checks out, and we can confirm that the product of 0.72 and 2.780 is indeed 2.0016.
In summary, given the product of two numbers, we can find the other number when one of them is known by setting up an equation and solving for the unknown number. In this case, we found that the two numbers are 0.72 and 2.780.
for more such questions on product
https://brainly.com/question/30284183
#SPJ8
Under what condition is it NOT possible for an integer a to be divided by an integer b ?
Answer:
An integer, a, cannot be divided by an integer, b, when \(b=0\)
Step-by-step explanation:
There is only one limitation when dividing two numbers. This is that you cannot divide a number by 0 as it is impossible to divide something into 0 groups.
As the integer, b, is the number that symbolized the number of groups something is divided into, this value cannot be 0.
i need help thank you
what is the probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin?0.14260.13570.24610.0321
The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.
Option C is correct
The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is given by the binomial probability formula:
P(X = k) = (n choose k) \(* p^k * (1-p)^(n-k)\)
where X is the random variable representing the number of heads, n is the total number of coin flips, k is the number of heads obtained, and p is the probability of getting a head on any individual flip.
Since we are assuming that the coin is fair, p = 0.5. Let's say you flipped the coin n times and obtained k heads. Then the probability of obtaining exactly k heads with a fair coin is:
P(X = k) = (n choose k \(* 0.5^k * ()1-0.5)^(n-k)\)
We don't know what n or k are, so we can't compute the exact probability. However, we can use the fact that the coin is fair to get an estimate. If we assume that the number of heads obtained is roughly half of the total number of flips, then k = n/2. Plugging this into the formula, we get:
\(P(X = n/2) = (n choose n/2) * 0.5^(n/2) * (1-0.5)^(n/2)\)
Simplifying this expression, we get:
\(P(X = n/2) = (n choose n/2) * 0.5^n\)
Now, we want to find the probability of obtaining exactly as many heads as we just obtained. Let's say we flipped the coin 10 times and obtained 5 heads. Then we want to find P(X = 5), which is:
P(X = 5) = (10 choose 5) \(* 0.5^5 * (1-0.5)^(10-5)\) = 0.2461
Therefore, the probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.
Option C is correct
To know more about probability. here
https://brainly.com/question/24756209
#SPJ4
a+ −5 =−9 I really need help with this any pointers?
- - - - - - - - -- - - -- - - - - - -- - - - - - - - - - - - - - - - - - - - - - - - -- - - - --
\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)
a+(-5)=-9
What is a equal to?
\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)
First, a+(-5)=-9 can be written as follows:-
⇒a-5=-9
Now, add 5 to both sides:-
⇒a=-9+5
And finally,
⇒a=-4
Good luck.- - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - -- - - - - - - -
Answer:
a = -4
Step-by-step explanation:
We have to,
Find the required value of a,
→ a + (-5) = -9
→ a - 5 = -9
→ a = -9 + 5
→ [ a = -4 ]
Hence, the value of a is -4.
Need Answer ASAP Number Of Cakes Sugar Flour Vanilla LOOK AT THE PIC
I'm pretty sure this is the right answer..
Which of the following is true of a quasi-experiment?
Group of answer choices
We can balance participant variables between groups in a quasi-experiment.
In a quasi-experiment, the researcher assigns participants to conditions based on the particpant’s preexisting level of the independent variable.
In a quasi-experiment, the researcher randomly assigns participants to groups.
A quasi-experiment allows us to infer causality more accurately.
The true statement about the quasi-experiment is , the researcher assigns participants to conditions based on the participant's preexisting level of the independent variable.
In a quasi-experiment, the researcher assigns participants to conditions based on the participant's preexisting level of the independent variable. However, unlike a true experiment, a quasi-experiment cannot control for all possible confounding variables and may not allow for the balancing of participant variables between groups. Therefore, while a quasi-experiment can provide some evidence of causality, it may not be as accurate as a true experiment in this regard.
To know more about Quasi-experiment visit:
https://brainly.com/question/770771
#SPJ11
In a quasi-experiment, the researcher assigns participants to conditions based on the participant’s preexisting level of the independent variable.
A quasi-experiment is a research design that lacks the control of random assignment to groups. Instead, the researcher assigns participants to conditions based on pre-existing levels of the independent variable. This means that the groups may not be equivalent at the outset, and there is a greater risk of confounding variables affecting the results.
Therefore, we cannot balance participant variables between groups in a quasi-experiment, nor can we randomly assign participants to groups. While quasi-experiments can provide valuable information, they do not allow us to infer causality more accurately than other research designs.
To know more about valuable visit:
https://brainly.com/question/29382898
#SPJ11
There were 5 Easter eggs hidden at a party. Kenny found 4 of them. What percent of the eggs did Kenny find ?
Answer:
Kenny found 80% of the eggs.
Step-by-step explanation:
(4 ÷ 5) × 100 = x
0.8 × 100 = x
80% = x
Kenny found 80% of the eggs.