Evaluate (6x+3y)-z2 divided by (2x) when X = -3 , y=4 , z=-6
The evaluated expression of (6x+3y) - z² divide by 2x when x = -3, y = 4 and z = -6 is 5.3
How to evaluate an expression?An algebraic expression consists of unknown variables, numbers and arithmetic operators.
Therefore, let's evaluate the expression, (6x+3y) - z² divide by 2x when x = -3, y = 4 and z = -6.
To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
In other words, to evaluate the expression, we have to substitute the given value of the variable and simplify the expression.
Therefore,
(6x+3y) - z² = (6(-3)+3(4)) - (-6)² = (-18 + 12) - 36 = -32
2x = 2(-3) = -6
Hence,
- 32 / -6 = 5.3
Therefore,
(6x+3y) - z² / 2x when x = -3, y = 4 and z = -6 is 5.3
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5. Describe a relationship between the two variables shown in this graph. Be
sure to include a description that includes the whole pattern of what happens
to the money during the tone shown.
Time please help asap
The relationship between the variables is that an increase in the degree of slope cause an increase in the loss of soil
How to describe the relationship between the variables?The possible graph that completes the question is added as an attachment
From the attached graph, we have the variables represented to be
Degree of slope - on the x-axisLoss of soil - on the y-axisNext, we determine the relationship
To start with:
The relationship between the variables on a graph is simply the end bahavior of the graph
In this case, we can see that:
As the degree of the slope increases, the loss of soil also increase
However, the increase in the slope does not cause a constant increase in the loss of soil
The loss of soi starts by increasing slowly as the degree of slope increases, then the loss of soil increases sharply as the degree increases further
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8x-4=2(4x-4)
for how many games is the total cost of bowling equal for the two bowling establishments??
Answer: x= 0.5
Step-by-step explanation:
8x-4=2(4x-4)
You would want to take away the smaller x which is (4x)
4x-4=2-4
+4 +4
4x-4=2
+4 +4
4x=2
daddy ;)
Two consecutive odd integers have a sum of 40. Find the integers
Answer:
19 and 21|
Step-by-step explanation:
a + (a+2) = 40
2a + 2 = 40
2a = 40 - 2
2a = 38
a = 38/2
a = 19
a+2 = 21
Check:
19 + 21 = 40
Examine the worked examples. Then, answer the questions.
Alessa's car uses 2 gallons of gas to drive 45 miles. How many miles can
Alessa's car drive using 15 gallons of gas?
Let m represent the number of miles and g represent the gallons of gas.
m=
11 L
m=
m=
Write an equation in the form y = kx for the number of
miles in terms of the gallons of gas.
(15) Substitute the value for the given quantity.
Evaluate the right hand side of the equation.
Alessa's car can drive
miles using 15 gallons of gas.
Answer: if you multiply you will end up with 675
Step-by-step explanation:
find the amount on $ 6,250 at 8%p.a compounded annually for 2 years. also, find the compounded intrest
The Compound Interest is $7,290.00.
What is Compound Interest?In order to calculate compound interest, multiply the principal of the original loan by the annual interest rate multiplied by the number of compound periods minus one.
Given:
P= 6250
T= 2 years
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 6,250.00[tex](1 + 0.08/1)^{(1)(2)[/tex]
A = 6,250.00(1 + 0.08)²
A = $7,290.00
Hence, The Compound Interest is $7,290.00.
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Jotes
Check
A dime is 1.35 x 10-3 meter thick. What would be the height, in
meters, of a stack of 1 million dimes?
A1.35 x 10^2meters
B 1.35 x 10^3meters
1.35 x 10^4 meters
1.35 x 10^9meters
Go Online You can complete an Extra Example online.
Show
your work
here
Answer:
Step-by-step explanation:
find the equation of a line parallel to 3x +2y=14 that passes through the point (8,8)
The equation of the parallel line is y = (-3/2)x + 20
What does the term Slope of a Straight Line means?
A line's slope is defined as the change in y coordinate with respect to the change in x coordinate. The net y coordinate change is y, while the net x coordinate change is x.
Solution:
Firstly we need to find the slope of the given line 3x+2y = 14
Since, the equation is in the form ax + by = c
Therefore, by comparing we can say a = 3 and b = 2
Slope = -(b/a) = -3/2
Since we need to find the equation of the parallel line
So, the slope of the parallel line will be -3/2
y = mx + b
we know that the line passes through the point (8,8)
putting x,y = 8 and m = -3/2
8 = (-3/2)*8 + b
8 = -12 + b
b = 20
So, the equation of the parallel line is y = (-3/2)x + 20
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Which triangle congruence postulate would be used to prove the following triangles congruent?
1. SSS
2. HL
3. AAS
4. SAS
According to the SSS Postulate, two triangles are congruent if three of one triangle's sides are congruent with three of another triangle's sides.
Explain about the Congruence postulate?
A postulate is an assertion that is not backed by any evidence. Axiom is another name for a postulate. For instance, you would believe Pam if she said that all of her siblings were at least five feet one tall since you are aware of her height and that of all of her siblings, who are all taller than her.
When two figures or objects in geometry have the same shapes, sizes, or are mirror images of one another, they are said to be congruent.
Shapes that are identical to one another are said to be congruent. Both the matching sides and the corresponding angles match. We must examine all of the shapes' angles and sides in order to accomplish this. Two shapes that are similar to one another can be stacked perfectly.
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evaluate the expression
SIN² 225° - COS² 270° + TAN ² 60°
[tex] = ( \sin(180 + 45) )^{2} - ( \cos(180 + 90) )^{2} + ( \frac{ \sqrt{3} }{1} )^{2} \\ = ( - \sin(45) )^{2} - ( - \cos(90) )^{2} + 3 \\ = ( - \frac{1}{ \sqrt{2} } ) ^{2} - ( \frac{0}{1})^{2} + 3 \\ = \frac{1}{2} - 0 + 3 \\ = \frac{1}{2} + 3 \\ = \frac{7}{2} [/tex]
ATTACHED IS THE SOLUTION
In one season a basketball player made 95% of her free throws. How many free throws did she attempt if she made 114 free throws?
Answer:
120 free throw attempts
Step-by-step explanation:
[tex]95\%=0.95[/tex]
[tex]0.95x=114[/tex]
[tex]x=\frac{114}{0.95}[/tex]
[tex]x=120[/tex]
A telephone exchange operator assumes that 8% of the phone calls are wrong numbers.
If the operator is correct, what is the probability that the proportion of wrong numbers in a sample of 494 phone calls would differ from the population proportion by more than 3%? Round your answer to four decimal places.
The probability that the phone calls would differ from the population proportion by more than 3% is 0
How to determine the probability value?From the question, the given parameters about the distribution are
Proportion, p = 8%Sample size, n = 494The actual proportion, x = greater than 3%The mean is calculated as
Mean = np
So, we have
Mean = 8% * 494 = 39.52
The standard deviation is calculated as
Standard deviation = √np(1 - p)
So, we have
Standard deviation = √494 * 8% (1 - 8%) = 0.77
The z-score is calculated using the following formula
[tex]z = \frac{\bar p - p}{\sqrt{p(1 - p)}/n}[/tex]
Substitute the given parameters in the above equation
[tex]z = \frac{8\% - 3\%}{\sqrt{8\% * (1 - 8\%)}/494}[/tex]
Evaluate
z = 90.9
The probability is then calculated as:
P(x > 3%) = P(z > 90.9)
From the z table of probabilities, we have;
P(x > 3%) = 0
Hence, the probability is 0
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What set of line segments could create a right triangle:
15, 30, 35 - 15, 36, 39 - 15, 20, 29 or 5, 15, 30
Answer:
(b) 15, 36, 39
Step-by-step explanation:
You want to know which sets of segment lengths could form a right triangle.
Right triangleFor segments to form a right triangle, the lengths must satisfy the triangle inequality and the Pythagorean theorem. The latter condition can often be determined by looking at the reduced ratios of the lengths, and comparing to known Pythagorean triples.
15, 30, 35The ratio of lengths is 3:6:7. There are no integer side lengths that will form a right triangle when one of them is double another. Not a right triangle.
15, 36, 39The ratio lengths is 5:12:13. These numbers are a common Pythagorean triple, so will form a right triangle.
15, 20, 29The ratio of the smaller two numbers is 3:4. In order for these to form a right triangle, they must be part of a triangle with ratios 3:4:5. That would be 15, 20, 25. The side length 29 is too long for a right triangle. Not a right triangle.
5, 15, 30The two short sides are too short to reach the ends of the long side. These lengths will not form a triangle.
__
Additional comment
The table in the attachment computes a²+b²-c². When that value is 0, the Pythagorean theorem is satisfied, and the triangle is a right triangle. Positive numbers indicate an acute triangle; negative numbers indicate an obtuse triangle.
The Pythagorean triples that came into play in this answer are {3, 4, 5} and {5, 12, 13}. Other triples commonly seen are {7, 24, 25} and {8, 15, 17}.
A researcher collected sample data for 12 middle-aged women. The sample had a mean serum cholesterol level (measured in milligrams per one hundred
milliliters) of 189.6, with a standard deviation of 10. Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 95%
confidence interval for the mean serum cholesterol level of all women in this age group. Give the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
Lower limit:
Upper limit:
X
5
The lower and upper limit of the 95% confidence interval is 183.2 and 196.0 unit.
What is a confidence interval ?
When you run your experiment again or resample the population in the same way, you can expect your estimate to fall within a certain range of values a certain percentage of the time. This is known as the confidence interval.
Main Body:
Given in question :
x- bar = 189.6
standard deviation = 10
C.I. = 95% =0.95
N=12
so, degree of freedom (D.F) = N-1 = 11
confidence level (α) = (1- C.I.)/2
= 0.025
according to t- distribution table for d.f = 11 and α= 0.025 , my result is 2.201
Now dividing standard deviation by square root of samples, we get
= 10/√12= 2.887
Lower limit = Mean - 2.201*2.887
= 189.6- 6.354
= 183.246
Upper limit = Mean + 2.201*2.887
= 189.6 + 6.354
= 195.954
Hence the result is 183.2 and 196.
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Let ()=94+2+2. Compute (5)() .
Based on the given equation and the given value of (), the value of 5() from the equation is 490
How to solve equation?If
() = 94 + 2 + 2
The equation can be solved by substituting the value of () into 5()
Substituting is the method of inserting the known value of a variable into an equation to solve for the value of the equation.
Then,
Substitute the value of () into (5)()(5)()
= 5(94 + 2 + 2)
= 5(98)
= 490
So therefore, the value of 5() is given by 490.
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Which linear function is graphed on the grid?
90
80
70
60
8
50
30
20
10
-9-8-7-6-5- -3 -2 -1
-10
20
у
-30
-40
-50
-60
-70
-80
88
-90
1234
56789
X
The linear function that is graphed on the grid is g(x) = (15/2)x + 45 , the correct option is (d) .
In the question ,
a linear function graph is shown ,
we have to find that linear function .
So , From the given graph we can see that
the graph passes from the points (2 , 60) and (6 , 90)
in order to find the equation , we first need to find the slope .
slope = (90 - 60)/(6 - 2)
= 30/4
= 15/2
So , the equation of the line passing through the points (2 , 60) and slope 15/2 is
(y - 60) = 15/2(x - 2)
y - 60 = (15/2)x - 15
Adding 60 to both the sides ,
we get
y - 60 + 60 = (15/2)x - 15 + 60
y = (15/2)x - 15 + 60
y = (15/2)x + 45
function is (15/2)x + 45
Therefore , The linear function that is graphed on the grid is g(x) = (15/2)x + 45 .
The given question is incomplete , the complete question is
Which linear function is graphed on the grid shown below ?
(a) g(x) = (2/15)x - 6
(b) g(x) = (2/15)x + 45
(c) g(x) = (15/2)x - 6
(d) g(x) = (15/2)x + 45
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for questions 4-6: The table below shows
e average price of a gallon of gasoline.
Year
2000
2004
2010
2012
2015
Price
2.02
2.32
3.02
3.64
2.45
4. Find the rate of change from 2004 to 2010.
5. Find the rate of change from 2000 to 2012.
6. Find the rate of change from 2012 to 2015
Answer:6/13/3
Step-by-step explanation:look at how the year’s difference are
I've spent 1 hour on two separate days trying to understand this problem. Calc professor isn't being helpful at all either. Any help is appreciated!
Answer:
[tex]f(x)=-log_{3}(-x)[/tex]
Step-by-step explanation:
Based on the points given on the graph, I would say this is a Log function, reflected across both x- and y-axes.
And given the point (-3, -1), it must be [tex]-log_{3}(-x)[/tex]
PLEASE HELP AND FAST
Answer:
d [tex]\frac{-4}{3}[/tex]
Step-by-step explanation:
change in y over the change in x
[tex]\frac{-2-2}{1- -2}[/tex] = [tex]\frac{-4}{3}[/tex]
What will be the rule for a negative fraction?
Maybe like -m/n instead of just m/n?
The generalized rule of the indices to be negative fraction can be written as [tex]a^{-m/n} =(\sqrt[n]{a})^{-m}[/tex].
What is the law of indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
An algebraic expression is a quantity made up of symbols and processes + - / and multiplication Expressions utilizing indices are made simpler using the laws of indices.
Let's consider a negative fraction exponent as, [tex]a^{-m/n}[/tex]
[tex]a^{-m/n}=1/a^{m/n}[/tex]
Since,[tex]a^{-m/n} =(\sqrt[n]{a})^{-m}[/tex]
Therefore, the above expression converts as,
[tex]a^{-m/n} =1/(\sqrt[n]{a})^{-m}[/tex]
[tex]a^{-m/n} =(\sqrt[n]{a})^{-m}[/tex]
Hence "The generalized rule of the indices to be negative fraction can be written as [tex]a^{-m/n} =(\sqrt[n]{a})^{-m}[/tex].".
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PLS HELP QUICK!! IL MARK YOU BRAINLIEST
A cooler is filled with containers of yogurt. Some of the containers have low-fat yogurt and some have non-fat yogurt. There are three flavors for each type of yogurt, as shown in the table. Sophie chooses a container at random. What is the probability that she chooses low-fat yogurt?
Answer:
Step-by-step explanation 2/3 is the answer :
The required probability, that she chooses low-fat yogurt is 2/3.
Given that, a cooler is filled with containers of yogurt. Some of the containers have low-fat yogurt and some have non-fat yogurt. There are three flavors for each type of yogurt, as shown in the table.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
From the given,
Sample space = 24
Low Fat =16
Non-fat = 8
The probability that she chooses low-fat yogurt
= 16/24
= 2/3
Thus, the required probability, that she chooses low-fat yogurt is 2/3.
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Let f(x)=x/x+1 and g(x)=√x-1
Find the following
i. f(a − 1) + g(a + 1)
ii. f(a² + 1)g(a² + 1)
Answer:
Step-by-step explanation: a square x b square
Please help me I NEED HELP
Answer:
A= 6n
B= 9n
C= 15n
Step-by-step explanation:
It's just adding.
A= 6n
B= 9n
C= 15n
The area of a circle is 4x² + 12лx + 9л.
a. What is an expression for the radius of the circle?
b. What is the least possible integer value of x for the circle to exist? Explain.
plspls help me
a ) The expression for the radius of the circle = r = 2x + 3
b ) The least possible value of radius is - 1.5
Given : Area of the circle = 4πx² + 12πx + 9π
a) The expression for the radius of the circle = r = 2x + 3
we can find this out by middle term split
we can write the area of the circle as
4πx² + 12πx + 9π
4πx² + 6πx + 6πx + 9π
this implies 2πx ( 2x + 3 ) + 3π ( 2x + 3 )
π( 2x + 3 ) ( 2x + 3 )
thus the radius expression is 2x + 3
b ) The least possible value of radius is 2x + 3 = 0
this implies 2x = - 3
x = - 1.5
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Select all of the following that are ordered pairs of the given function.
h(x) = 3x²
(1, 3)
(-1, -3)
(-1,3)
(1, -3)
The ordered pairs of the function, h(x) = 3x², are (1,3) and (-1,3).
According to the question,
We have the following information:
h(x) = 3x²
Now, we will look at the options to know the correct option of ordered pairs.
Now, in the options, there are only two values of x (1 and -1). So, we will solve the given function using these two values and we will find the value of h(x).
h(x) = 3x²
h(1) = 3*1*1
h(1) = 3
So, the first ordered pair is (1,3).
When x = -1:
h(x) = 3x²
h(-1) = 3*-1*-1
h(-1) = 3
Now, the second ordered pair of the function is (-1,3).
Hence, the correct options are A and C.
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The graph shows a proportional relationship between the variables y and x.
Answer:
the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, is equal to k, where k is the unit rate.
What integer is closest to 4 √5?
Answer:
it's decimal value then it is 11.1803399.
The integer close to it is 11
Step-by-step explanation:
let's square this :
4² × 5 = 16 × 5 = 80
the closest squared integer is 81 (9²).
so, the closest integer to 4×sqrt(5) is 9.
the dimensions of a rectangle are 5x-7 and 2x-1. what is the perimeter?
please help fast!
The formula for the perimeter of the rectangle is:
P(x) = 14x - 16
What is the perimeter?We know that for a rectangle of length L and width W the perimeter is given by the formula:
P = 2*(W + L)
In this case we know that:
W = 2x - 1
L = 5x - 7
Replacing that in the perimeter formula we get:
P(x) = 2*(2x - 1 + 5x - 7)
Now we can simplify this so we get:
P(x) = 2*(2x + 5x - 1 - 7)
P(x) = 2*(7x - 8)
P(x) = 14x - 16
That is the perimeter of the rectangle in terms of x.
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Use the discriminant to determine the number of solutions for the following equation: \large 3x^2+4x-5=0 How many solutions does this equation have? a 1 real solution b 2 real solutions c infinite solutions d no real solutions
The number of solutions in the equation 3x² + 4x - 5=0 is (b) two real solutions
How to determine the number of solutions?The equation is given as:
3x² + 4x - 5=0
A quadratic equation is represented as:
ax² +bx + c=0
Where the discriminant is:
d = b² - 4ac
So, we have:
d = 4² - 4 * 3 * -5
Evaluate
d = 76
If the discriminant is greater than 0, then the equation has 2 real roots.
Hence, the number of solutions is (b) two real solutions
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What is the solution to the system graphed below? PLS ANSWER ASAP
The system of equations has its solutions to be (0, 3)
How to determine the solution to the system of equations?From the question, the system of equations is represented on the graph
On the graph, we have the following representations
Two lines of different colorsBoth lines intersect at a pointSay the functions are f(x) and g(x)
To determine the solution to the system of equations, we set both equations equal
i.e. f(x) = g(x)
This in other words mean that we determine the coordinates of the points where the graphs intersect
In this case, they intersect at point (0, 3)
This represents the solution
Hence, the solution to the system of equations is (0, 3)
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