Answer:
5.62 I used a calculator to find the answer
What values of x make the equation true?
(x - 2)2 – 16 = 0
A)x = -2 or x = 6
B)x = -6 or x = 2
C) x = -2 or x = -6
D) X = 6 or x = 2
Step-by-step explanation:
(x - 2) 2 - 16 =0
2 - 16 (x - 2) =0
2x - 16x - 4 + 32 = 0
2x - 16x = 0 + 4 - 32
-14x = -28
x = -28/-14
x = 2
Double Checking Answer:
2 - 16 (2 - 2)
2 - 16 (0)
=0
OR
2 - 16 × (2 - 2)
4 - 32 - 4 + 32
= 0
;)
What do you know about the number of books Pat has?
Which statement describes the mapping?
Answer:
I believe its J
Step-by-step explanation:
If a =2 , b=-3 , c =-4 prove that a MULTIPLY (b+c) =(a multiply b) + (a multiply c)
Answer:
Step-by-step explanation:
a(b+c) = (ab)+(ac)
by property of distribution
a(b+c) = ab + ac
ZOHK is a straight angle. Find mZLAK.
Answer:
LHK = 101
Step-by-step explanation:
LGK + LHK = 180
79 + LHK = 180
LHK = 180 -79
LHK = 101
A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven.
Answer: LHK= 101
76%
A store employs 11 women and 12 men.
What percentage of the employees are men?
Give your answer to 1 decimal place.
Answer:
52.1 is the percentage of employees that are men
Step-by-step explanation:
Please help I’ll give brainiest!
Answer: h(3)= -4 h(-3)=-16
Step-by-step explanation:
Plug in 3 and -3 for x and solve
h(3)= 2(3)-10
h(-3)= 2(-3)-10
8) Morgan purchased a new car, which depreciates over time. Morgan’s car depreciates
according to the function y=62,150( . 9999)xx, where x represents the number of months since
the car was purchased. What is the range of the exponential function y based on its equation
and the context of the problem?
The range of the exponential function y is [0, 62,150]
In the given function of the exponential function, [tex]y = 62,150 (0.9999)^x[/tex], x is the number of months since the car was purchased.
The initial value of the function is 62,150. The car depreciates over time because the function decreases when the value of x increases. The base of the exponential function is 0.9999 which is less than 1.
The range of the exponential function y based on its equation and the context of the problem is [0, 62,150].The reason for this is because the initial value of the function is 62,150.
This means that the value of y can never be more than 62,150. Also, the base of the exponential function is less than 1 which means that the function decreases over time.
Therefore, the minimum value of the function is 0. Therefore, the range of the exponential function y is [0, 62,150]. Hence, the answer is [0, 62,150].
An exponential function is what?
Calculating the exponential growth or decay of a given set of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.
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what is the constant proportionally of y=2.5x
Answer:
The constant of proportionality is 2.5
Step-by-step explanation:
A direct proportion is of the form
y = kx where k is the constant of proportionality
y = 2.5x
The constant of proportionality is 2.5
Answer:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or
where
k is the constant of proportionality
In this problem we have
so
the constant of proportionality k is equal to
therefore
the answer is
Step-by-step explanation:The constant of proportionality in the equation is
Further explanation:
The relation is defined as the relationship between the input values and output values.
The x coordinates are the domain of the function and the y coordinates are the range of the function.
Given:
The equation is
Explanation:
The proportionality equation can be expressed as follows,
The value of changes as changes. If the value of increases then the value of y is also increasing.
The equation can be expressed as follows,
The inversely proportional relationship can be expressed as,
Here, is the proportionality constant.
The given equation is
The y is the independent variable and is the dependent variable.
The proportionality constant is 2.5.
The constant of proportionality in the equation is
1
Name segment AB.
1.
B
A Angle Bisector
B Perpendicular Bisector
C Median
D Altitude
E Midsegment
Answer:
Median
Step-by-step explanation:
Because it divides line B into a prefect section
Write -5 4/8 as a decimal.
Answer:
-5.5
Step-by-step explanation:
Answer:
-5.5
Step-by-step explanation:
-54/8
-5 first just put the whole number because that won't change
4/8 simplified is 1/2
1/2 as a decimal is 0.5
your answer is -5.5
what number is 10 times greater than 34,000
Answer:
340,000
Step-by-step explanation:
10 × 34,000= 340,000
U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. Find:
a. P(U AND V) =
b. P(U|V) =
c. P(U OR V) =
U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. So,
a. P(U AND V) = 0
b. P(U|V) = 0
c. P(U OR V) = P(U) + P(V)
U and V cannot happen at the same time since they are mutually exclusive events. Therefore, the probability of their intersection, P(U AND V), is equal to 0.
Comparably, the conditional probability P(U|V) denotes the likelihood that event U will take place in the event that event V has already happened. U, however, is not possible if V has already happened because U and V are mutually exclusive. Consequently, P(U|V) likewise equals 0.
To find the probability of the union of U and V, P(U OR V), we add the individual probabilities of U and V because they are mutually exclusive. Therefore, P(U OR V) = P(U) + P(V) = 0.26 + 0.37 = 0.63.
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Find the midpoint of the segment with the following endpoints.
(-2,7) and (-10, -1)
Answer:
[tex](-6 ,3 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in your 2 coordinates into the midpoint formula to find midpoint:
[tex](\frac{-2+-10}{2} ,\frac{7+-1}{2} )[/tex]
[tex](\frac{-2-10}{2} ,\frac{7-1}{2} )[/tex]
[tex](\frac{-12}{2} ,\frac{6}{2} )[/tex]
[tex](-6 ,3 )[/tex]
The value of the car decreases $1200 every year. How much did the value of the car change, if you bought it brand new 7 years ago?
Answer:
the cars value decreased by $8400
can someone put this into matrices for me:)
2x+3y+5=20
Answer: WHAT ARE YOU TRYING TO DO FIND THE SLOPE OR FIND X OR FIND SOMETHING DIFFRENT
Step-by-step explanation:
The weights of grapefruits of a certain variety vary according to a roughly Normal distribution with a mean of 1 pound and a standard deviation of 0.12 pounds. What is the probability that a randomly selected grapefruit weights more than 1.25 pounds?
а. 0.019
b. 0.016
C. 0.316
d. 0.401
The probability that a randomly selected grapefruit weighs more than 1.25 pounds is approximately 0.019.
To find the probability that a randomly selected grapefruit weighs more than 1.25 pounds, we need to calculate the area under the normal distribution curve to the right of 1.25 pounds.
First, we calculate the z-score using the formula:
z = (x - μ) / σ,
where
x is the value we're interested in,
μ is the mean, and
σ is the standard deviation.
In this case, x = 1.25, μ = 1, and σ = 0.12.
z = (1.25 - 1) / 0.12 = 2.08
Next, we look up the corresponding area under the standard normal distribution curve for a z-score of 2.08. Using a standard normal distribution table or calculator, we find that the area to the right of 2.08 is approximately 0.019.
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4. The Jones children decide to buy Christmas gifts for their friends in the museum's gift shop. Brandon buys 2 gifts, the cost of each gift is f. Daniel buys d gifts, the cost of each gift is p. Georgia buys 2 more gifts than Daniel, the cost of each gift is z. Write an algebraic expression for how much money should Mr Jones pay at the gift shop till if he also decides to buy gifts for his children and the cost of each gift is f.
Answer:
2f+2y+pd+z(d+2)
Step-by-step explanation:
If Brandon buys 2 gifts and the cost of each gift is f, then the cost of the 2 gifts is 2f.... 1
Also if Daniel buys d gifts, the cost of each gift is p, then the cost of d gifts will be "pd ".... 2
If Georgia buys 2 more gifts than Daniel, then the amount of gift bought by daniel will be d+2. If the cost of each gift is z, the cost of (d+2) gifts will be z(d+2) .... 3
If Mr. Jones also decides to buy gifts for his children and the cost of each gift is f, then the total cost of the gift he bought for his children is yf where y is the number of gifts he bought for his children.
The total amount paid by Mr. Jones will be expressed by the summing all the derived function as shown;
2f+dp+z(d+2)+yf
= 2f+yf+ dp+z(d+2)
= 2f+2y+dp+z(d+2)
Hence the algebraic expression for how much money Mr Jones should pay at the gift shop till if he also decides to buy gifts for his children and the cost of each gift is f is expressed as 2f+2y+dp+z(d+2)
A foreign exchange student from Mexico would like to buy pastries for her host family. She
finds a special deal “6 pastries for $17.94,” that she would like to purchase for her family.
However, her host family consists of 4 people. If she wants to purchase 4 pastries for her
family members at that special rate, what would the cost be of these pastries in her currency
of Mexican Pesos? (Currency conversion rate is 1 U.S. Dollar = 19.265 Mexican Pesos).
Answer:
11.96 USD = 230.41 MXN
11.96 MXN = .62 USD
Step-by-step explanation:
6 pastries for 17.94 = 1 pastry for 2.99 = 4 pastry for 11.96
11.96 USD = 230.41 MXN
11.96 MXN = .62 USD
please help
Write the equation of the conic section shown below.
The equation of the circle in this problem is given as follows:
(x - 2)² + (y + 4)² = 36.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The coordinates of the center of the circle are given as follows:
(2, -4).
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence, considering the horizontal line from the center to point (8, -4), it's measure is given as follows:
r = 6.
Thus the equation is:
(x - 2)² + (y + 4)² = 36.
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Can anyone do my 8th grade Imagine Math?
Answer:
depends what you are doing
Step-by-step explanation:
:)
0.94300 scientific notation
Answer:
Step-by-step explanation:
9.4300 × 10^-1
Which equation has the correct sign on the product?
O A. (-12)4 = 48
B. (-9)(-9) = -81
O C. 31(-10) = -310
O D. 26 • 3 = -78
Answer:
c. 31(-10) = -310
Step-by-step explanation:
because...........
Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?
−1/5x+3≤7
A.−20, −10, 0, 10, and 20 only
B.0, 10, and 20 only
C.−30, −20, and −10 only
D.−30 and −20 only
In other words, everything but -30.
========================================================
Explanation:
Let's solve for x
[tex]-\frac{1}{5}x + 3 \le 7\\\\-\frac{1}{5}x \le 7-3\\\\-\frac{1}{5}x \le 4\\\\x \ge 4*(-5)\\\\x \ge -20\\\\[/tex]
Note how the inequality sign flips when we multiply both sides by the negative number.
Since x can be -20 or larger, this means that the values -20,-10,0,10,20 are all solutions. Only -30 is a non-solution. It might help to draw out a number line to see which values work and don't work.
--------------------------------
An alternative method is to plug each value from the set {-30,-20,-10,0,10,20} into the original inequality and simplifying. If you get a true statement at the end, then the value is a solution.
I'll show an example with x = -30 and x = -20 to show a non-solution and a solution. I'll let you check the others.
So let's start with x = -30
[tex]-\frac{1}{5}x + 3 \le 7\\\\-\frac{1}{5}(-30) + 3 \le 7\\\\6 + 3 \le 7\\\\9 \le 7\\\\[/tex]
The last statement is false because 9 is not 7 or smaller than 7. So that's why x = -30 is not a solution.
Now let's try x = -20
[tex]-\frac{1}{5}x + 3 \le 7\\\\-\frac{1}{5}(-20) + 3 \le 7\\\\4 + 3 \le 7\\\\7 \le 7\\\\[/tex]
This is a true statement since any number is equal to itself.
You should find that x = -10, x = 0, x = 10, and x = 20 lead to true statements.
Answer:A
Step-by-step explanation:
the girl that said it first i stoled it
Sometimes by labeling the numbers in a statement, you can make a statement true that would normally be false. For example, the statement 12+2=3 could be made true by labeling the number as follows: 12 inches + 2 feet = 3 feet By labeling the numbers in the statement 9 + 6 = 3, make the statement true.
Step-by-step explanation:
Yes this is actually correct, labelling numbers gives it a meaning, and also makes it understandable to whoever is reading or solving a problem associated with the number
12+2=3 ordinarily would be false because
12+2=14
but when a label is attached
that is 12 inches + 2 feet= 3 feet
12 inches is the same as 1 foot
so 1foot+2feet= 3 feet
9 + 6 = 3 ordinarily is false as 9 + 6 = 15
but
√9feet + 6feet = 3yard
3feet + 6feet = 3yard
Hello I really need help with this I need to find X and then check it so if anyone can help ASAP that would be greatly appreciated
Answer:
x=7
Step-by-step explanation:
1.2=0.3x-0.9
2.1=0.3x
7=x
x=7
Is (1, –4) a solution to the equation y = –2x?
No
Check
-4 = -2(1)
L.H.S
= -2(1)
= -2
is not = R.H.S.
Answer:
no it can’t be the solution
Step-by-step explanation:
y=–2x
–4=–2(1)
–4=–2 (error)
Given the function f(x,y) = 4xy^2 - x^2y^2 - xy^3 (a) Find and classify all the critical points (b) Find the absolute maximum and minimum values of f(x,y) on D, where D is the closed triangular region in the xy plane with vertices (0,0) (0,6) and (6,0) .
The absolute maximum value of f(x, y) on D is 0, and the absolute minimum value is -64.
(a) To find the critical points of the function f(x, y) = 4xy^2 - x^2y^2 - xy^3, we need to find the values of x and y where the partial derivatives with respect to x and y are equal to zero.
Taking the partial derivative with respect to x:
∂f/∂x = 4y^2 - 2xy^2 - y^3
Taking the partial derivative with respect to y:
∂f/∂y = 8xy - 2x^2y - 3xy^2
Setting both partial derivatives equal to zero and solving the resulting system of equations will give us the critical points.
4y^2 - 2xy^2 - y^3 = 0 ...(1)
8xy - 2x^2y - 3xy^2 = 0 ...(2)
From equation (1), we can factor out y^2:
y^2(4 - 2x - y) = 0
This gives us two possibilities: y = 0 or 4 - 2x - y = 0, which simplifies to y = 4 - 2x.
Substituting y = 0 into equation (2), we get:
8xy = 0
This implies that either x = 0 or y = 0.
So, we have three possible cases for the critical points:
Case 1: y = 0, which implies x = 0 from equation (2).
Case 2: x = 0, which implies y = 4 from the equation y = 4 - 2x.
Case 3: Solving the equations 4 - 2x - y = 0 and 8xy - 2x^2y - 3xy^2 = 0 simultaneously will give us additional critical points.
(b) To find the absolute maximum and minimum values of f(x, y) on the closed triangular region D, we need to evaluate the function at the vertices of the triangle and at the critical points found in part (a).
The vertices of the triangle D are (0, 0), (0, 6), and (6, 0).
Evaluate f(x, y) at the vertices:
f(0, 0) = 0
f(0, 6) = 0 - 0 - 0 = 0
f(6, 0) = 4(6)(0)^2 - (6)^2(0)^2 - (6)(0)^3 = 0
Evaluate f(x, y) at the critical points:
f(0, 0) = 0
f(0, 4) = 4(0)(4)^2 - (0)^2(4)^2 - (0)(4)^3 = -64
f(2, 2) = 4(2)(2)^2 - (2)^2(2)^2 - (2)(2)^3 = 8 - 8 - 16 = -16
Therefore, the absolute maximum value of f(x, y) on D is 0, and the absolute minimum value is -64.
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The ratio f:h is 4:3 and the ratio f:w is 5:2 write the rario f:h:w in its simplest form
The simplified ratio f:h:w is 20:15:8.
The ratio of f:h:w, we need to combine the given ratios of f:h and f:w.
The ratio f:h is given as 4:3 means that for every 4 units of f, there are 3 units of h.
The ratio f:w is given as 5:2 means that for every 5 units of f, there are 2 units of w.
To simplify the ratio f:h:w, we need to find the common factors among the three quantities (f, h, and w).
The common factor is f.
So, the simplified ratio is obtained by dividing each quantity by the common factor f.
Dividing f by f results in 1, which simplifies the ratio.
Dividing h by f gives us h/f, and dividing w by f gives us w/f.
Therefore, the simplified ratio f:h:w is 1:h/f:w/f.
Since h/f = 3/4 and w/f = 2/5, the simplified ratio becomes:
1 : 3/4 : 2/5
To remove the fractions, we can multiply each term by a common multiple of the denominators.
The least common multiple (LCM) of 4 and 5 is 20.
Multiplying the ratio by 20, we get:
20 : (3/4) × 20 : (2/5) × 20
which simplifies to:
20 : 15 : 8
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Is this true or false, 50/50 chance here.