Answer: 119
Step-by-step explanation:
(4^2+1)(3*4-5)
=(16+1)(12-5)
=17*7
=119
Answer:
g(4) = 119
Step-by-step explanation:
g(x) = (x² + 1) (3x - 5)
Substitute x for 4 in the equation
g(4) = (4² + 1) (3(4) - 5)
g(4) = (16 + 1) (12 - 5)
g(4) = (17) (7)
g(4) = 119
Hence, the value of g(4) is 119
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
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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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
Rewrite polynomial in standard form
The standard form of polynomial is x^2 + 9x - 1/10
To write the equation in standard form, look at the degree of highest term and then rewrite the equation in decreasing order of degree i.e. from highest to lowest.
The given polynomial is
⇒ x^2 + 9x - 1/10
The standard form of the polynomial is
⇒ x^2 + 9x - 1/10
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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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which is the correct answer ?????
Explanation:
Technically you could isolate any variable you wanted, from either equation. However, convention is to pick the variable in which isolating it is easiest, and most efficient.
The key thing to look for is if there's a coefficient of 1. This is found in the second equation for the y term. Think of -4x+y = -13 as -4x+1y = -13. Due to the coefficient of 1, when solving for y we won't involve messy fractions.
If you were to solve for y, then you'd get y = 4x-13, which is then plugged in (aka substituted) into the first equation. That allows you to solve for x. Once you know x, you can determine y.
15:45 in its simplest form
1:3
Step-by-step explanation:= 15:45
= 15/45
= 15/45 {can be divided by 15}
= 15/15 = 1 ; 45/15 = 3
Therefore, 15/45 is 1/3
15:45 is 1:3
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. Mary wants to make several aluminum cups like the one below. She is going to cut them from a sheet of aluminum that has an area of 3,750 in². How many complete cups will she be able to make?
Answer:
50 aluminium cups maybe win 3750
Find point C on the x-axis so that AC + BC is a minimum.
A(-8,4), B(-1,3)
The point C on the x-axis when A(-8,4), B(-1,3) so that AC + BC is a minimum is (36,0).
A(x₁,y₁) = (-8,4)
B(x₂,y₂) = (-1,3)
C(x, y ) = (x ,0)
equation of a line is given as:
y - y₁ = (y₂ - y₁)/ (x₂ - y₁) (x - x₁)
y - 4 = (3 - 4)/(-1 + 8)(x + 8)
y - 4 = -1/7(x + 8)
7(y - 4) = -1(x + 8)
7y - 28 = -x + 8
x + 7y - 36 = 0
when y = 0 then the value of x is given as:
x + 7y- 36 = 0
x + 7(0) - 36 = 0
x = 36
point C on the x-axis (x , 0) = (36,0)
The point C on the x-axis when A(-8,4), B(-1,3) so that AC + BC is a minimum is (36,0).
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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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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]
How many bit strings are there of length eight?
There are 28 which is 256. That means there are 256 different values you can store in a byte, since a byte is eight bits. There are 256 eight-bit ASCII codes, for instance.
1 byte = 8 bits
Number of bits = [tex]2^{8}[/tex]
= 2*2*2*2*2*2*2*2
= 4*2*2*2*2*2*2
= 8*2*2*2*2*2
= 16*2*2*2*2
= 32*2*2*2
= 64*2*2
= 128*2
= 256 bits.
Therefore that means there are 256 different values you can store in a byte, since a byte is eight bits.
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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
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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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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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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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.
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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:
Complete (assume $50,000 of overhead to be distributed): (Round your Ratio answers to the nearest hundredth.) Sq. Ft. Ratio Amount of Overhead Allocated Dept. A 20,000 A B Dept. B 80,000 C D
The calculation of the ratios, resulting from the square feet occupied by both departments, and the amounts of overhead allocated to the two departments are as follows:
Ratio Amount
Department A 1/5 $10,000
Department B 4/5 $40,000
What is the ratio?The ratio is the numerical relationship shared by two or more values.
Ratios are fractional values and are depicted using fractions, decimals, and percentages.
Ratios, like proportions, show how much a value or variable is contained in another.
Total overhead = $50,000
Department Square Feet Ratio Amount of Overhead Allocated
Dept. A 20,000 A = 1 B = $10,000 ($50,000 x 1/5)
Dept. B 80,000 C = 4 D = $40,000 ($50,000 x 4/5)
Ratios = 20,000:80,000
= 1:4
Sum of Ratios = 5
Thus, based on the cost driver allocation ratios, Department A will bear $10,000, while Department B will be allocated $40,000.
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Which function is positive for the entire interval [–3, –2]?
Graph 2 represents that the function is positive for the entire interval [-3,-2].
What is a function?Every possible input value results in exactly one output value in a function. "The output is a function of the input," we state. The domain is made up of the input values, while the range is made up of the output values.
Four different graphs for various functions are provided. We must identify the graph that is positive throughout the range [-3,-2].
We make the following observation from the given graphs.
1. The function in graph 1 has a value of 0 at -3 and decreases in value from -3 to -2. As a result, in the provided interval, the function is negative.
2. Graph 2 makes it abundantly evident that the function has a positive value for the entire specified interval.
3. In graph 3, the function shows a negative value entirely in the given interval.
4. In graph 4, the function exhibits both positive and negative values in the given interval and is not positive in the entire interval.
Thus, the function in graph 2 is positive for the entire interval [-3,-2].
The missing image is attached with the answer below,
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Expand and simplify 5(x + 7) + 3(x–2)
Answer:
8x + 29
Step-by-step explanation:
[tex]5(x + 7) + 3(x–2) \\ 5 \times x + 5 \times 7 + 3 \times x - 3 \times 2 \\ 5x + 35 + 3x - 6 \\ 5x + 3x + 35 - 6 \\ 8x + 29[/tex]
Given that (x - 5) is a factor of
x³ - 7x² + 2x + a, find the value of a
check your textbook for the remainder theorem, where it states that for a factor (x-5) of f(x) then the remainder will be 0, thus f(5) = 0, what the heck all that means?
well, it means that if we evaluate f(5) our result should be 0, so
[tex]\stackrel{factor}{(x-5)}\hspace{5em}f(5)=(5)^3-7(5)^2+(5)+a=0 \\\\\\ 0=(5)^3-7(5)^2+(5)+a\implies 0=125-175+10+a \\\\\\ 0=-40+a\implies \boxed{40=a}[/tex]
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]
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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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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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 ;)
A rectangle has an area of 20 square centimeters.
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A
B
1 cm and 20 cm
2 cm and 10 cm
3 cm and 8 cm
4 cm and 5 cm
Answer:
Most likely 4cm and 5cm
Step-by-step explanation:
Where 5cm=length
And 4cm=width
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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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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