The answer is 14.
First, we need to find X using the first statement.
X + 9 = 11X = 11 - 9X = 2Now, we have to substitute this in the required expression.
7X7(2)147. (05.02 MC)
Luciana's laptop has 3,000 pictures. The size of the pictures is skewed to the right, with a mean of 3.7MB and a standard deviation of 0.78MB
Part A: Can you accurately calculate the probability that the mean picture size is more than 3.8MB for an SRS of 20 pictures? Explain.
Part B: If you take a random sample of 60 pictures instead of 20, explain how the Central Limit Theorem allows you to find the probability that the mean picture size is more than 3.8MB.
Considering the Central Limit Theorem, we have that:
a) The probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
b) The probability can be calculated, as the sample size is greater than 30.
What does the Central Limit Theorem state?It states that the sampling distribution of sample means of size n is approximately normal has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], as long as the underlying distribution is normal or the sample size is greater than 30.
In this problem, the underlying distribution is skewed right, that is, not normal, hence:
For item a, the probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.For item b, the probability can be calculated, as the sample size is greater than 30.More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444
#SPJ1
If (one month) I make a total of 10 hours of calls at Standard hours , how much more or less will I pay for basic contact than for premium
The amount of money that you would pay less for basic contact is $15 while the amount you will pay more for premium =$465.
Calculation of the call rate per hourFrom the given table in the diagram, the cost of calls made for 10 hours at Standard time=
$6 × 10 = $60
The amount of calls done for basic contact is 3 hours per month for $15 . Total cost per month = 3×15= $45
The amount of calls done for premium contact is 15 hours per month for $35 . Total cost per month = 15× 35=$525
Ordinarily, you per $60 for standard call hours. This means that,
$60 - 45 = $15 less for basic contact and
$525 - $60 = $465 more for premium.
Learn more about subtraction here:
https://brainly.com/question/4721701
#SPJ1
Find x and simplify completely
Answer:
x = [tex]6\sqrt{3}[/tex] i
Step-by-step explanation:
We can write the following equation according to Euclidian Theorem to find the value of x:
[tex]x^{2}[/tex] = 12*9 multiply 9 and 12
[tex]x^{2}[/tex] = 108 find the root of both sides
x = [tex]6\sqrt{3}[/tex] is the value of x
NEED HELP!20 points find the area.
Answer:
80 square units
Step-by-step explanation:
These are rectangles and triangles.
The formula to get the area of a rectangle is its length multiplied by its width.
The formula to get the area triangle is its base multiplied by its height, then divided by 2.
Step 1: Rectangle areaThe 3 rectangles all share the width of 6 units, so we can combine the 3 rectangles and consider it as 1 large rectangle.
The lengths of the rectangles are 2, 8, and 2 units.
We can add them together to get a total height of 12 units.
So, the formula to get the area of this rectangle is:
[tex]6\times12= A[/tex]
By solving this, we get:
A = 72 square units
There are 4 triangles remaining.
The base and height of all the triangles are 2 units.
So, by plugging these values into the triangle area formula, as mentioned from the beginning, we get:
[tex](2\times2)\div2=A[/tex]
So, the area of 1 triangle is 2 square units.
But since there are 4 triangles with the same bases and heights, we will multiply the area of 1 triangle by 4.
So, [tex]4 \times 2 = A[/tex]
This means the area of all the triangles together is 8 square units.
Step 3: Total areaBy adding the area of the triangles and rectangles together, we will get the answer.
[tex]72+8 = A[/tex]
So, the total area of this box is 80 square units.
What is the area of this parallelogram?
h = 2 in.
A
b= 10 in.
in.
in²
The area of a parallelogram is 20 inches square
What is the area of a parallelogram?
The area of a parallelogram is the base of the shape multiplied by the height
Area of parallelogram = b × h
Where h = height = 2 In
base = 10 in
Area = 2 × 10
Area = 20 Inches square
Thus, the area of a parallelogram is 20 inches square
Learn more about a parallelogram here:
https://brainly.com/question/10744696
#SPJ1
If f(x)f(x) is an exponential function where f(3.5)=12f(3.5)=12 and f(9)=75f(9)=75, then find the value of f(7.5)f(7.5), to the nearest hundredth.
Using an exponential function, it is found that f(7.5) = 45.5.
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex].
In which:
a is the initial value.b is the rate of change.For this problem, we have that f(3.5) = 12, then:
[tex]y = ab^x[/tex]
[tex]12 = ab^{3.5}[/tex]
[tex]a = \frac{12}{b^{3.5}}[/tex]
We also have that f(9) = 75, then:
[tex]y = ab^x[/tex]
[tex]75 = ab^9[/tex]
Since [tex]a = \frac{12}{b^{3.5}}[/tex]:
[tex]75 = \frac{12}{b^{3.5}} \times b^9[/tex]
[tex]b^{5.5} = \frac{75}{12}[/tex]
[tex]\sqrt[5.5]{b^{5.5}} = \sqrt[5.5]{\frac{75}{12}}[/tex]
[tex]b = \left(\frac{75}{12}\right)^{\frac{1}{5.5}[/tex]
b = 1.39542165
Then:
[tex]75 = ab^9[/tex]
[tex]a = \frac{75}{1.39542165^9}[/tex]
a = 3.7386
Hence:
[tex]y = 3.7386(1.39542165)^x[/tex]
When x = 7.5, we have that:
[tex]y = 3.7386(1.39542165)^{7.5} = 45.5[/tex]
Hence f(7.5) = 45.5.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
What number line shows the solution set to this inequality? -2x + 9 < x − 9
For the number line, an open circle will be drawn on the value of 6 and the arrow pointing to the right side.
Number line and inequalityGiven the inequality expression as shown
-2x + 9 < x − 9
Collect the like terms
-2x - x < -9 - 9
-3x < -18
Divide through by -3
x > -18/-3
x > 6
For the number line, an open circle will be drawn on the value of 6 and the arrow pointing to the right side.
Learn more on number line here: https://brainly.com/question/4727909
#SPJ1
i need the answer to this.
The simplifications of all the given ratios are as detailed below.
How to simplify ratios?The simplification of each of the given ratios are;
1) 56 : 49
The highest common multiple is 7 and so we divide by 7 to get;
56 : 49 = 8:7
2) 36:48
The highest common multiple is 12 and so we divide by 12 to get;
36 : 48 = 3:4
3) 48:42
The highest common multiple is 6 and so we divide by 6 to get;
48 : 42 = 8:7
4) 24:36
The highest common multiple is 12 and so we divide by 12 to get;
24 : 36 = 2:3
5) 20:30
The highest common multiple is 10 and so we divide by 12 to get;
20 : 30 = 2:3
6) 24:32
The highest common multiple is 8 and so we divide by 8 to get;
24 : 32 = 3:4
7) 18:27
The highest common multiple is 9 and so we divide by 9 to get;
18 : 27 = 2:3
8) 16:14
The highest common multiple is 2 and so we divide by 2 to get;
16 : 14 = 8:7
9) 9:12
The highest common multiple is 3 and so we divide by 3 to get;
9 : 12 = 3:4
Read more about Ratio Simplification at; https://brainly.com/question/2284146
#SPJ1
Borrwed 25000 at ir10.5%
for ten years accured interest
On a shelf of a book store, there are 3 books on English, 4 books on Economics and 5 books on Business Mathematics. How many collections can be made, if each collection consists of at most 3 books on each subject?
If each collection consists of at most 3 books on each subject, the number of collection that can be made of 3 English, 4 Economics, and 5 Business Mathematics books are 40.
What is a combination?A combination, as a mathematical technique, determines the number of possible arrangements in a collection of items.
In the combination, the order of the selection does not matter.
The implication is that in combinations, one can select the items in any order, unlike permutations, where the order of selection matters.
Data and Calculations:English books on shelf = 3
Economics books on shelf = 4
Business Mathematics books on shelf = 5
Collections to be made = 3 books on each subject
The solution can be set up as a combination problem, as follows:
3 C 3 x 4 C 3 x 5 C 3
3! / 3! (3 – 3)! The solution is 1.
4! / 3! (4 – 3)! The solution is 4.
5! / 3! (5 – 3)! The solution is 10.
1 x 4 x 10
= 40
Thus, if each collection consists of at most 3 books on each subject, the number of collections that can be made of 3 English, 4 Economics, and 5 Business Mathematics books is 40.
Learn more about combinations and permutations at https://brainly.com/question/4658834
#SPJ1
Which table shows a linear function?
The first table with the following values of x and y, shows a linear function.
x = -4, y = 8
x = -1, y = 2
x = 1, y = 2
x = 2, y = 4
x = 3, y = 6
Definition of a Linear Function:
A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
For the above chosen option, the value of y corresponding to a value of x is twice that of its x value. This linear function can be represented as follows,
y = | 2x | .......... (1)
In this linear function, mod represents, that y is always maintained positive. Besides, the value of y is always twice that of the x. Hence, the linear function can also be written as, y ± 2x = 0.
Since, equation (1) is of the form, y = mx + c, it produces a straight line. Here, m = 2 and c = 0. Thus, it is a linear function.
Learn more about a linear function here:
https://brainly.com/question/21107621
#SPJ1
Select the correct answer from each drop-down menu.
What structural element of the paragraph is the underlined sentence, and how does it connect ideas in the text?
The underlined sentence
1.the thesis statement for the text
2.the conclusion of the text
3.a piece of evidence for the texts argument
4.a piece of reasoning in the text
It connects ideas in the text by
1.making the main claim of the text
describing why the information provided matters to readers
3. relating a fact or story that demonstrates the texts argument
4. suggesting how a specific example relates to the broader argument
The underlined sentence in the text simply functions as; the conclusion of the text and connects ideas in the text, by making the main claim of the text describing why the information provided matters to readers.
What is the function of the underlined text in the passage?The underlined text in the passage functions as the conclusion to the passage in which case, the information intended to be conveyed is that on the occasion that, regular feeding, good housing, occasional gentle corrections and kindness are in place, there'd be no need for such a cat to steal.
Therefore, the structural element of the paragraph in the underlined sentence, and how it connect ideas in the text is; by making the main claim of the text
describing why the information provided matters to readers.
Read more on passages;
https://brainly.com/question/25849033
#SPJ1
The table below shows some inputs and outputs of the invertible function f with domain all real numbers.
The values of f⁻¹(f(6.022)) is 6.022 and f⁻¹(10) + f(-6) is 4
How to evaluate the function?As a general rule;
f⁻¹(f(x)) = x
This means that:
f⁻¹(f(6.022)) = 6.022
Also, we have:
f⁻¹(10) + f(-6)
From the table of values, we have:
f⁻¹(10) = -6 and f(-6) =10
So, we have:
f⁻¹(10) + f(-6) = -6 + 10
Evaluate
f⁻¹(10) + f(-6) = 4
Hence, the values of f⁻¹(f(6.022)) is 6.022 and f⁻¹(10) + f(-6) is 4
Read more about inverse functions at:
https://brainly.com/question/2541698
#SPJ1
Find parametrization for the tangent line at time t0=13.
Use the equation of the tangent line such that the point of tangency occurs when t=t0 .
(Write your solution using the form (*,*,*). Use t for the parameter that takes all real values. Simplify all trigonometric expressions by evaluating them. Express numbers in exact form. Use symbolic notation and fractions as needed.)
Where will this line intersect the - plane?
(Write your solution using the form (*,*,*). Express numbers in exact form. Use symbolic notation and fractions where needed.)
The parametrization for the tangent line at time [tex]t_{0}[/tex] is (41 + 3t, -4/3 + 4t/3, 4/3 + 4t/3)
The point of intersection is (40, -4, 0)
What is the parametrization for the tangent line at time [tex]t_{0}[/tex] and point of intersection?The given curve is defined parametrically by the equations
x = 3t + 2
y = 4 cos t
z = 4 sin t
To find the parametrization for the tangent line at time t0 = 13, we need to find the point of tangency and the direction vector of the tangent line.
The point of tangency is the position of the curve at time t0, which is
(3 * 13 + 2, 4 cos 13, 4 sin 13) = (41, -4/3, 4/3)
The direction vector of the tangent line is the derivative of the curve at time t0, which is
(3, -4 sin 13, 4 cos 13) = (3, -4/3, 4/3)
Therefore, the parametrization for the tangent line is
(41 + 3t, -4/3 + 4t/3, 4/3 + 4t/3)
b. To find the point where this line intersects the -plane, we set z = 0 and solve for t. This gives us
4/3 + 4t/3 = 0
t = -1/2
Therefore, the point of intersection is
(41 - 3/2, -2, 0) = (40, -4, 0).
Learn more about parametrization at: https://brainly.com/question/30451972
#SPJ2
If f (7) = 22, then
f(f-1(22)) = [?]
Answer: 22
Step-by-step explanation:
[tex]f(f^{-1}(x))=f^{-1}(f(x))=x[/tex]
In math class, James, Hadley, and Gwen were challenged to go stand on the field in a random location and find the distance between themselves using only one length. They were also each given a protractor to find the angle between each other. Using this diagram, solve for the missing side lengths of the triangle. Round to the nearest hundredth. A triangle where James, Hadley, and Gwen are labelled on the vertices. The angle of James is 61 degrees, Hadley is 73 degrees, and Gwen is 46 degrees. The one length that is labelled is between James and Hadley and measures at 15 meters. Gwen to Hadley is what? Gwen to James is what?
The interior angles of the triangle of 61°, 73°, and 46°, and the distance from James to Hadley of 15 meters gives;
Gwen to Hadley ≈ 18.24 metersGwen to James ≈ 19.94 metersHow can the distances between the students be found?The given angles are;
At James's location; 61°
At Hadley's location; 73°
At Gwen's location; 46°
The distance between James and Hadley = 15 meters
The angle facing the distance between James and Hadley is the angle at Gwen, 46°
The angle facing the distance between Gwen and James is the angle at Hadley, 73°
The angle facing the distance between Gwen and Hadley is the angle at James, 61°
The angle that faces the 15 meter length is the angle at Gwen, which is 46°
By the rule of sines, the distance from Gwen to Hadley is therefore;
[tex] \frac{15}{sin( 46 ^ \circ)} = \frac{Gwen \: to \: Hadley}{sin( 61 ^ \circ)} [/tex]
Which gives;
[tex] Gwen \: to \: Hadley= \frac{15 \times sin( 61 ^ \circ) }{sin( 46 ^ \circ)} \approx 18.24[/tex]
Gwen to Hadley ≈ 18.24 metersSimilarly, we have;
[tex] \frac{15}{sin( 46 ^ \circ} = \frac{Gwen \: to \: James}{sin( 73 ^ \circ)} [/tex]
Therefore;
[tex] Gwen \: to \: James = \frac{15 \times sin( 73 ^ \circ) }{sin(46 ^ \circ)} \approx 19.94 [/tex]
Gwen to James ≈ 19.94 metersLearn more about the rule of sines here:
https://brainly.com/question/4372174
#SPJ1
A -foot pole is supporting a tent and has a rope attached to the top. The rope is pulled straight and the other end is attached to a peg one foot above the ground. The rope and the pole form an angle that measures , as shown below. The pole, the rope, and an imaginary line that runs across the ground from the top of the peg to the pole form a right triangle. The hypotenuse is unknown. The pole is adjacent to the 35-degree angle, and it is labeled 10 feet. The 10 foot measurement includes the height of the 1 foot peg. The imaginary line that runs across the ground is opposite the 35-degree angle, and it is not labeled. Which expression shows the length of the rope?
An expression which shows the length of this rope is: 10/cos35 ≈ 12.2 feet.
How to determine the length of this rope?In order to determine the length of this rope, we would apply the law of cosine because both the rope and apple formed an angle that are adjacent in a right triangle:
cos(θ) = Adj/Hyp
Where:
Adj is the adjacent side of a right triangle.Hyp is the hypotenuse of a right triangle.θ is the angle.Substituting the given parameters into the formula, we have;
cos(35) = 10/Hyp
Hyp = 10/cos35
Hyp = 12.2 feet.
Read more on law of cosine here: brainly.com/question/27613782
#SPJ1
An employee worked for 8 hours on 2 days, 6 hours on 1 day, and 4 hours on 2 day
What is the average number of hours the employee worked per day?
A.) 6.0
B.) 6.5
C.) 7.0
D.) 7.5
E.) 8.0
Answer:
A) 6.0
Step-by-step explanation:
First, total amount of hours, since average is sum of the numbers by how many numbers there is.
Day 1=8x2 hr
Day 2=6x1 hr
Day 3=4x2 hr
which is, 16+6+8=30
then divide 30 by how many days there is, which is 5 days.
30/5=6
A shopkeeper sold 20 mobile sets of same brand for Rs 3,00.0000 at the same rate in a week What is the selling price of each mobile set
Answer:
15
Step-by-step explanation:
cost of 20 mobile set=300
cost of 1 mobile set
=cost of mobile set/number of mobile set
=300/20
=15
The cost of each mobile set is ₹1,50,000.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
Given that, a shopkeeper sold 20 mobile sets of same brand for ₹3,000,000.
The selling price of each mobile set = Total cost of mobile sets/Number of mobile sets
= 3,000,000/20
= ₹1,50,000
Therefore, the cost of each mobile set is ₹1,50,000.
To learn more about the unit rate visit:
https://brainly.com/question/11258929.
#SPJ2
calcula el volumen de la siguiente figura altura 30 cm diámetro mayor 16 cm diámetro menor 4 cm
The volume of the shape will be 5652cm³.
How to calculate the volume?The given values are:
Height = 30cm
Large diameter = 16cm: Radius = 16/2 = 8cm
Small diameter = 4cm; Radius = 4/2 = 2cm
The volume will be:
= (3.14 × 8² × 30) - (3.14 × 2² × 30)
= 6028.8 - 376.8
= 5652cm³
Learn more about volume on:
brainly.com/question/1972490
#SPJ1
Which function below has the following domain and range?
Domain: {-9, - 5, 2, 6, 10}
Range: { -2, 0, 8}
O {(-9, 10), (-2,8)}
O ((-9, -2), ( – 5, 0), (2, 8), (6, 5), (10, 9))}
O ((-2,-5), (8, 10), (0, 6), (-2, -9), (0, 2)}
O {(2,0), (-5, -2), (10, 8), (6, 0), (-9, -2)}
{(2,0),(-5,-2),(10,8),(6,0),(-9,-2)} is the correct answer (D)
Answer:
(d) {(2, 0), (-5, -2), (10, 8), (6, 0), (-9, -2)}
Step-by-step explanation:
The domain is the list of x-values. The range is the list of y-values. You are looking for the set that matches the given lists.
ChoicesA.The list of x-values is {-9, -2}. The list is too short.
B.The list of x-values is {-9, -5, 2, 6, 10}. This matches the required domain.
The list of y-values is {-2, 0, 8, 5, 9}. The list is too long.
C.The list of x-values is {-2, 8, 0, -2, 0}. The list does not match the given domain list.
D.The list of x-values is {2, -5, 10, 6, -9}. This matches the given domain.
The list of y-values is {0, -2, 8, 0, -2}. This matches the given range.
The function of interest is ...
{(2, 0), (-5, -2), (10, 8), (6, 0), (-9, -2)}
You are loading a rental truck with 78-pound boxes and have
60 boxes to load. If the empty truck weighs 8840 pounds,
then the equation W=78b+8840 gives the total weight of
the truck if it is carrying b boxes.
Suppose the truck is not legally allowed to weigh more than
13,200 pounds.
Will your rental truck be able to legally carry the load of 60
boxes?
Explain why you answered yes or no and show all work.
Answer:
13200 needs to be less than 78*60+8840,
which is false because 13200 < 13520
Step-by-step explanation:
The truck cannot load 60 boxes as it exceeds the weight limit.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
W=78b+8840
So, b= 60
W= 78 x 66 + 8840
W = 5148 +8840
W = 13988 > 13200 ( limit for the weight)
Hence, the truck cannot load 60 boxes as it exceeds the weight limit.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ2
Tanisha is signing up for a gym membership with a one-time fee to join and then a
monthly fee to remain a member. The monthly fee is $50 and the one-time joining
fee is $100. Make a table of values and then write an equation for C, in terms of t,
representing the total cost of the gym membership over t months.
Answer:
t=150
Step-by-step explanation:
50+100=150
50×12=600
Which represents the reflection of f(x)=√x over the y-axis?
We are looking for the graph of [tex]y=\sqrt{-x}[/tex]. which is shown in the attached image.
Find the area of the triangle
A
47°
b
32 ft
C
19 ft
Answer:
222 [ft²].
Step-by-step explanation:
1. the required area can be calculated according to the formula:
A=0.5*b*c*sin(A);
2. after substitution of b=32; c=19 and sin(A)≈0.7313537:
A=0.5*32*19*0.7313537=222.3315248 [ft²].
Find the z-scores for the two normally distributed random variables, measured using different units of length.
a) x = 22 in, where X comes from N (15, 2.5)
b) y = 55.88 cm, where Y comes from N (38.1, 6.35)
Using the normal distribution, the z-scores are given as follows:
a) Z = 2.8.
b) Z = 2.8.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Item a:
The parameters are:
[tex]\mu = 15, \sigma = 2.5[/tex]
Hence the z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{22 - 15}{2.5}[/tex]
Z = 2.8.
Item b:
The parameters are:
[tex]\mu = 38.1, \sigma = 6.35[/tex]
Hence the z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55.88 - 38.1}{6.35}[/tex]
Z = 2.8.
More can be learned about the normal distribution at https://brainly.com/question/15181104
#SPJ1
The function g is defined below.
please help
well, when it comes to fractions or rationals, they can never have a denominator that's 0, because if that ever happens, the fraction becomes undefined, so the values of "x" or namely the domain values, that we cannot have because they make the fraction undefined are those values that make the denominator 0, we can simply get them by setting the denominator to 0 and check what's "x".
[tex]x^2-9=0\implies x^2=9\implies x=\pm\sqrt{9}\implies x=\pm 3 \\\\[-0.35em] ~\dotfill\\\\ g(x)=\cfrac{x+6}{x^2-9}\hspace{5em} x\ne \begin{cases} 3\\ -3 \end{cases}[/tex]
Without exponents
logc (xy^6z^-4) what is the equivalent expression
By eliminating exponents, the logarithmic expression [tex]\log_{c} x\cdot y^{6}\cdot z^{-4}[/tex] is equivalent to the logarithmic expression [tex]\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z[/tex].
How to simplify logarithmic functions
In this problem we are supposed to eliminate all exponents of a logarithmic function by applying any of the following properties:
㏒ x · y = ㏒ x + ㏒ y㏒ x/y = ㏒ x - ㏒ y㏒ yˣ = x · ㏒ yNow, we proceed to simplify the function:
[tex]\log_{c} x\cdot y^{6}\cdot z^{-4}[/tex]
[tex]\log_{c} x + \log_{c} y^{6} + \log_{c} z^{-4}[/tex]
[tex]\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z[/tex]
By eliminating exponents, the logarithmic expression [tex]\log_{c} x\cdot y^{6}\cdot z^{-4}[/tex] is equivalent to the logarithmic expression [tex]\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z[/tex].
To learn more on logarithms: https://brainly.com/question/24211708
#SPJ1
5/9+ (-4/5)
A. 1/4
B. 11/45
C. -9/14
D. -11/45
PLEASE HELP ILL GIVE BRAINLIST
please help asap
thank you very much
Answer:
x=30 , y=165 & z=10happy to help { bts army girl }Answer:
Step-by-step explanation:
Comment
You must solve x and then y in that order. The reason for that is there are 2 x values and they can be equated to each other. The you can go after the y value, since they are supplement with the value you get from the first operation.
Equations
x + 45 = 2x+ 8
<3 + y + 30 = 180
Solution
<1 and <3 are equal Two vertically opposite angles are always =.
x + 45 = 2x + 8 Subtract x from both sides
x-x + 45 = 2x - x + 8 Combine
45 = x + 8 Subtract 8 from both sides
45 - 8 = x + 8 - 8 Combine
37 = x
<1 + <2 = 180 These two angles sit on the same straight line and have a side in common
x + 45 + y + 30 = 180 Substitute for x
37 + 45 + y + 30 = 180 Combine
112 + y = 180 Subtract 112 from both sides
112-112 + y = 180 - 112 Combine
y = 68