Answer:
g = 48
k = 18
Step-by-step explanation:
h / 10 = 60 / 12
h / 10 = 5
h = 5 x 10
h = 50
40 / h = g / 60
40 / 50 = g / 60
4 / 5 = g / 60
g = ( 60 x 4 ) / 5
= 12 x 4
g = 48
90 / k = 60 / 12
90 / k = 5
k = 90 / 5
k = 18
What is the answer for y?
the answer is in the picture
Solve the following simultaneous equations : 5m - 3n = 19; m - 6 = -7
Answer:
m = -1
n= -8
Step-by-step explanation:
5m -3n = 19
m - 6 = -7
solve for m:
m = -7+6
m = -1
plug in m
5(-1) - 3n = 19
-5 - 3n = 19
-3n = 24
n = -8
If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expression in the parabola's equation?
Answer:
[tex]y=a(x-h)^{2} +k[/tex]
[tex](x,y)=(-3,14)[/tex]
[tex](h,k)=(-4,6)[/tex]
[tex]14=a(-3-(-4))^{2})+6[/tex]
[tex]14=a(-3+4)^{2} +6[/tex]
[tex]14=a(1)^{2} +6,-6[/tex]
[tex]8=a[/tex]
[tex]ANSWER:8[/tex]
--------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
If the numerator and the numerator of a fraction are subtracted 1, the resulting fraction is 2/3, if the resulting fraction is increased by 1, the resulting fraction is 3/4, determines the fraction.
Answer:
Simplify the expression.
Exact Form:
1 /2
Decimal Form:
0.5
Answer:
The Answer is
Fraction Form: 1/2
Decimal Form: 0.5
Percentage form: 50%
Step-by-step explanation:
I got the answer 1/2 by Adding 1 by 2/3, And then after that I got the answer 2/3 and with that I multiplyied it with 3/4 and I got 1/2
Class 3 question ,pls help
Answer:
bigger number minus larger number plus 1
430-421 = 9 + 1 = 10
573 - 567 = 6+1 = 7
898 - 890 = 8+ 1 = 9
Step-by-step explanation:
Please help I don't understand this at all
Answer:
The answer is 48in
Step-by-step explanation:
solve the logarithmic equation
[tex] log_{3} {x}^{2} - log_{3}(x + 6) = 1[/tex]
Answer:
Step-by-step explanation:
Using log(x) - log(y) = log (x/y)
logx^2 - log(x+6) = 1 is equal to:
log (x^2/(x+6)) = 1
Taking inverse base 3 log on both side:
x^2/(x+6) = 3
x^2 = 3x + 18
x^2 - 3x - 18 = 0
(x-6)(x+3) = 0
x = 6 or -3
Answer:
Step-by-step explanation:
1 = base 3log3
substitute
logx^2-log(x+6) = log3
logx^2 - log(x+6) - log3 = 0
log( (x^2/(x+6))/3 ) = 0
anti-log
x^2/3(x+6) = 1
x^2 = 3(x+6)
x^2-3x-18=0
x=6 n -3
anti-log base 3 on both sides:
A study of homeowners in the 5th congressional district in Maryland found that their annual household incomes are normally distributed with a mean of $41,182 and a standard deviation of $11,990 (based on data from Nielsen Media Research). If an advertising campaign is to be targeted at those whose household incomes are in the top 20%, find the minimum income level for this target group.
Answer:
The minimum income level for this target group is of $51,253.6.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of $41,182 and a standard deviation of $11,990
This means that [tex]\mu = 41182, \sigma = 11990[/tex]
Find the minimum income level for this target group.
The 100 - 20 = 80th percentile, which is X when Z has a p-value of 0.8, so X when Z = 0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - 41182}{11990}[/tex]
[tex]X - 41182 = 0.84*11990[/tex]
[tex]X = 51253.6[/tex]
The minimum income level for this target group is of $51,253.6.
According to general equation for conditional probability, if P(A^B) = 2/3 and P(B) = 3/4, what is P(A|B)?
Answer:
a
Step-by-step explanation:
ok
Answer:
D. 8/9
Step-by-step explanation:
Just Question B!
One of the numbers in the diagram is chosen at random, find the probability that the number is in set B, giving your answer as a decimal.
Gibing brainlist!
Answer:
0.4 or 0.40
Step-by-step explanation:
There are 10 total numbers. 4 of them are in set B.
So, 4/10 are in set B.
The probability is 0.4 because 4 divided by 10 is 0.4.
You are given the exponential function g(x)=3^x. Which ootion below gives the formula for the new function h created by stretching g by a factor of 3 along the y-axis?
Answer:
h(x) = 3^(x + 1)
Step-by-step explanation:
The exponential function is;
g(x) = 3^(x)
Now, in transformation of exponential functions of say f(x) = b^(x), when the new function g(x) is created by stretching by a factor of say c along the y-axis, we have;
g(x) = c•b^(x)
In this question, we are told it is stretched by a factor of 3 along the y-axis.
Thus, new function h is;
h(x) = 3 × 3^(x)
Using law of indices, we have;
h(x) = 3^(x + 1)
For two complementary angles find x. The first angle is 4x+9. The second angle is 2x+27
Answer:
x = 9
Step-by-step explanation:
When sum of two angles is 90, then they are known as complementary angles.
4x + 9 + 2x + 27 = 90
4x + 2x + 9 + 27 = 90
Combine like terms
6x + 36 = 90
Subtract 36 from both sides
6x = 90 - 36
6x = 54
Divide both sides by 6
x = 54/6
x = 9
Given Q(x) = 7x − 3 and P(x) = 7x3 − 3x2 + 42x − 27, find P(x) Q(x) . (Divide using long division.)
Complete question:
Given Q(x) = 7x − 3 and P(x) = 7x3 − 3x2 + 42x − 27, find P(x) ÷ Q(x) . (Divide using long division.)
Answer:
[tex]\frac{7x^3 \ - \ 3x^2 \ + \ 42x \ - \ 27}{7x \ - \ 3} = \ \ x^2 + 6 \ \ \frac{-9}{7x \ - \ 3}[/tex]
The quotient = x² + 6 and the remainder = - 9
Step-by-step explanation:
Given;
Q(x) = 7x − 3
P(x) = 7x³ − 3x² + 42x − 27
To divide P(x) by Q(x) using long division, we apply the following method;
x² + 6
---------------------------------
7x − 3 √ 7x³ − 3x² + 42x − 27
− (7x³ - 3x²)
-------------------------------------
42x − 27
− (42x − 18)
----------------------------------------
− 9
[tex]Therefore, \ \frac{7x^3 \ - \ 3x^2 \ + \ 42x \ - \ 27}{7x \ - \ 3} = \ \ x^2 + 6 \ \ \frac{-9}{7x \ - \ 3}[/tex]
The quotient = x² + 6 and the remainder = - 9
which of the gollowing cirxles lie completely within the third quadrant? Check all that apply
Option B
Option C
These two circles lie completely within the third quadrant
Answered by GAUTHMATH
find the value of the expressions 3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2
Hi!
[tex]3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}[/tex]
Please hurry
Consider the function represented by the table.
What is f(0)?
х
0
f(x)
6
7
0
5
O 4
O 5
O 6
4.
7
Answer:
[tex]f(0) = 6[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine [tex]f(0)[/tex]
From the table;
[tex]f(x) = 6[/tex] when [tex]x =0[/tex]
So:
[tex]f(0) = 6[/tex]
PROVE that x² + y² = r². you must explain your answer.
Answer:
Suppose f(x,y)=x2+y2
Let’s look at the partial derivatives of this function:
∂f∂x=2x
∂f∂y=2y
So apparently, at each (x,y) coordinate pair (black dots below), the gradient of f(x,y) is pointing in the same direction as the position vector itself (it is only twice as large). Knowing that an isocline f(x,y)=C (a curve on which f(x,y) is constant) must be perpendicular to the gradient of f(x,y) . This yields the following image:
This image depicts for two position vectors (black dots), the gradient (blue vectors), and the perpendicular direction in which f(x,y) is constant (red line fragments).
Doing this for many positions we see that this creates circles:
Therefore setting f(x,y)=C , yields a circle in the 2D plane, with radius r=C−−√ .
EDIT: again, thanks to Gilles Castel for the nice graphics!
A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are thehyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it was sometimes called a fourth type of conic section.
In the Cartesian coordinate system, the graph of a quadratic equation in two variables is always a conic section and all conic sections arise in this way. The most general equation is of the form
The conic sections described by this equation can be class
Consider a triangle with hypotenuse r and angle θ . As θ goes from 0 to 2π it traces out a circle.
The x and y coordinates are give by the basic trig equations:
x=rsin(θ)
y=rcos(θ)
Now if we compute x2+y2 we get
x2+y2
=r2sin2(θ)+r2cos2(θ)
=r2(sin2(θ)+cos2(θ))
=r2(1)
Hence x2+y2=r2 .
Will mark brainlest help me please
Answer:
no le entiendo por qué estás en inglésYou want to buy juices while shopping at ShopRite but are stuck between buying a bottle of apple juice and orange juice. The apple juice is 2 Liters and costs $3.00 while the orange juice is 3 Liters and costs $3.99. Which juice bottle is the better deal?
Answer:
Orange juice
Step-by-step explanation:
The bottle of apple juice costs 3 dollars for 2 liters, and the bottle of orange juice costs 3.99 dollars for 3 liters. To see which bottle has the better deal, we need to make the liters the same so we can compare them.
We can divide the 2 liters for 3 dollars ratio by 2 to get that 1 liter of apple juice costs 1.5 dollars, and we can divide the orange juice ratio by 3 to get that 1 liter of orange juice costs 1.33 dollars. We see that for 1 liter, orange juice is cheaper, so it is the better deal.
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression
shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00
before any payment is made to their competitors?
0 320-7.500
0 320+ 7.500
7500-320
07500 + 320 help!
Answer:
320-7.500
Step-by-step explanation:
In a survey of 600 students in a school. 150 student were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee Find how many Students were taking neither tea nor coffee
Answer:
125
Step-by-step explanation:
600=150+225+100+X=475+X
600-475=125=X
X=125
Answer: 325 I believe!
Step-by-step explanation:
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
Answer:A
Step-by-step explanation:this is not true
Answer:
It A
Step-by-step explanation:
I had the question hope this helps!!!!!
Someone please answer this
Answer:
(x - 1)(5x - 6)
Step-by-step explanation:
Given
5x² - 11x + 6
Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)
ac = 5 × 6 = 30 and b = - 11
The factors are - 5 and - 6
Use these factors to split the x- term
5x² - 5x - 6x + 6 ( factor the first/second and third/fourth terms )
= 5x(x - 1) - 6(x - 1) ← factor out (x - 1) from each term
= (x - 1)(5x - 6)
Micheal is selling lemonade.He sold 6 large lemonades at $3 each and 5 small lemonades at $2 each. How much money did he earn ?
Answer:
$28
Step-by-step explanation:
Answer:
6=$3
5=$2
6x3=18
5x2=10
18+10= 28
=$28
Step-by-step explanation:
Select three ratios equivalent to 4:34:34, colon, 3.Select three ratios equivalent to 4:34:34, colon, 3.
Answer:
A
C
D
Step-by-step explanation:
Select three ratios that are equivalent to 4:3.
Choose 3 answers:
(Choice A)
8:6
(Choice B)
9:12
(Choice C)
20:15
(Choice D)
32:24
(Choice E)
36:28
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
To determine which fractions are equivalent to 4:3 express the options in their lowest terms
option 1 - 8 : 6
To transform to the simplest form. divide the numbers by 2
4 : 3 this is equivalent
option 2 : 9 : 12
To transform to the simplest form. divide the numbers by 3
= 3 : 4 this is not equivalent
option 3 : 20:15
To transform to the simplest form. divide the numbers by 5
4 : 3 this is equivalent
option 4 : 32:24
To transform to the simplest form. divide the numbers by 8
4 : 3 this is equivalent
option 5 : 36:28
To transform to the simplest form. divide the numbers by 4
9 : 7 this is not equivalent
what is the measure of arc TUV
Answer:
196°
Step-by-step explanation:
A full circle has an arc measure of 360°.
360° - 164° = 196°
Answer: 196°
step below. Question 1 Hexagon AGHBGHCGHD GHEGHFGH is a reflected image of hexagon ABCDEF. The midpoints of the sides of hexagon ABCDEF are also shown. Drag the line of reflection, Għ until the image coincides with the preimage. At this location, if the preimage flips about the line of reflection, it will flip onto itself. In how many different positions can you place GHso the image reflects onto the preimage in this manner? Describe the different positions. Be sure to pass the line of reflection through both vertices and midpoints before answering.
Answer:
Hexagon AGHBGHCGHDGHEGHFGH coincides with hexagon ABCDEF when GH passes through the midpoints of opposite sides; that is, it is a perpendicular bisector of the two sides. HexagonAGHBGHCGHDGHEGHFGH also coincides with hexagon ABCDEF when the line of reflection joins a pair of vertices opposite one another on the hexagon. There are three perpendicular bisectors and three pairs of opposite vertices. In all, there are six lines of reflection that will map the hexagon back onto itself.
Step-by-step explanation:
What is a counterexample to this claim?
All quadrilaterals are parallelograms.
OA a rectangle
OB.
a rhombus
ОС. .
a square
OD.
a trapezoid
Answer:
The answer is D.
Step-by-step explanation:
AE = x=4.875, and EC = 13-4.875 = 8.125.
If I place point E at a distance of 4.875 units from A on AC-that is, E15.875, 1)-then the ratio of the segments into which e divides AC is equal to
the ratio of AD to DB.
Question 3
Place point that you found in Question 2 on AC. Draw a line passing through D and E, and measure and record the slopes of DE and BC.
Answer:
This is the answer for both Edmentum and Plato!
Step-by-step explanation:
Hope it helped
HELLPPPPPPPPPPPP i will give brainliest
Answer:
3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{18}[/tex]
[tex]\sqrt{9}[/tex] [tex]\sqrt{2}[/tex]
3[tex]\sqrt{2}[/tex]