Answer: Your answer is $7.30
Step-by-step explanation:
Finding the amount for a tip is simple!
all that's required is multiplying the bill (36.50) by the amount you want to tip (.20, because 20% is equal to .20)
36.50×.2= $7.30
Sara solved the inequality -4x + > 9 and graphed the solution set. She made a mistake but cannot determine where. Her work is shown
Answer:
step 2 is where she made her mistake
Step-by-step explanation:
- 4x + 1 > 9 ( subtract 1 from both sides )
- 4x > 8
divide both sides by - 4 , reversing the symbol as a result of dividing by a negative quantity.
x < - 2
There are about 30.530.530, point, 5 centimeters in a foot. There are 333 feet in a yard.
About how many centimeters are in a yard?
Answer:91.44 rounded is 91
Step-by-step explanation:
(Factoring Algebraic Expressions MC) Factor −4x2 + 12x. 4x(−x + 3) −4x(x + 3) x(4x + 12) 4(−x2 + 12x)
The factorization of given polynomial is 4x(-x+3). Therefore, option A is the correct answer.
The given algebraic expression is -4x²+12x.
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
The factorization of the given polynomial is
-4x²+12x
= 4x(-x+3)
The factorization of given polynomial is 4x(-x+3). Therefore, option A is the correct answer.
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Ocean sunfish are well-known for rapidly gaining a lot of weight on a diet based on jellyfish. the relationship between the elapsed time, ttt, in days, since an ocean sunfish is born, and its mass, m(t)m(t)m, left parenthesis, t, right parenthesis, in milligrams, is modeled by the following function:
Every day mass of sunfish is multiplied by factor of (ln(67/50)/6).
In the given question we have a relation between mass of sunfish and time elapsed t. Relation is
M(t) = (67/50) ^(t/6+4) -----(1)
To find out the factor which multiple by mass of sunfish each day, we can take derivative of M(t) function.
Derivative of a function measures the change in fucyion value with respect to change in its argument. It gives rate of change of function with respect to change in given variable value. So, in this problem derivative of mass function M(t) gives the rate of change of M(t) with respect to time , t .. It is represented by dM(t)/ dt.
dM(t)/ dt =( 67/50)^(t/6+4) (1/6)ln(67/50)
We have the used derivative formula d(a^t)/dt = a^t (1) lna
dM(t)/dt = ln(67/50)/6 (67/50)^(t/6+4)
dM(t)/dt = (ln(67/50))/6 M(t)
We can see here that mass funtion is increased by factor ln(67/50)/6 each day.
#Complete question:
Ocean sunfish are well known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and it’s mass, M(t), in milligrams, is modeled by the following function:
M(t)=(1.34)^t/6+4
Complete the following sentence about the daily rate of change in the mass of the sunfish. Round your answer to two decimal places.Every day, the mass of the sunfish is multiplied by a factor of _______.
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A band expects to put 16 songs on their next CD. The band writes and records 62.5% more songs than they expect to put on the CD. During the editing process, 50% of the songs are removed. How many songs will there be on the final CD?
Answer:
songs in the final CD 13
Step-by-step explanation:
the 100% = 16
-------------------
16/x=100/62.5
(16/x)*x=(100/62.5)*x
16=1.6*x
16/1.6=x
10=x
x=10
This is the 62.5% of 16
---------------------
now the new 100% is 10 + 16 = 26
but during the editing process 50% are removed
and the 50% of 26 (half of it) is = 13
Find the equation of the line the (2, 6) and is perpendicular to the equation y = 2x + 8
Answer:
y = -0.5x + 7
Step-by-step explanation:
Equation of a Line is y = mx + c
where m is the slope and c is the y-intercept
Given two lines are Perpendicular
Then [tex]m_{1} m_{2} =-1[/tex]
So we given Line whose Equation is y = 2x +8
Then [tex]m_{1} =2[/tex] (Coefficient of x)
Since the Line we want is Perpendicular to that line
Then [tex]m_{1} m_{2} =-1[/tex] , [tex]2m_{2} =-1 , m_{2} =\frac{-1}{2}[/tex]
So the Equation of the required Line is y = -0.5x +c
Since the Line passes through (2 , 6) , Then y = 6 when x = 2
By substitution , 6 = -0.5*2 + c , 6 = -1 + c
Then c = 6+1 =7
Then the Equation will be y = -0.5x + 7
Answer: y= -1/2x+7
Step-by-step explanation: use the point slope form and use the -1/2x like the slope because the perpendicular lines are negative reciprocals.
3409.1 in exponential form
3409.1 In exponential form is 3.4091 * 10^3
What is exponential form?Writing a number in exponential form is a way of writing numbers using base and exponents
Scientific notations is among the ways numbers appears in exponential forms
using scientific notation we have
= 3409.1
converting to fractions
= 34091 / 10
applying the scientific notation
= 3.4091 / 10 * 10000
eliminating the fraction by dividing by 10
= 3.4091 * 1000
applying exponential notation
= 3.4091 * 10^3
rewriting gives
= 3.4091 E+3
In scientific notation 10^3 is E+3 and it is called kilo and can be represented as k
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Besa brings 2 boxes of chocolates. Each box has a painting on the front. The picture in the 320 g box has the shape of a rectangle with dimensions 102mm by 170mm. The painting on the 480g box is sized 140mm by 226mm. Show that the two rectangles are not congruent similarly.
The short side of one box divided by the short side of the other box must equal the long side of one box divided by the long side of the other box. If the results are the same, they are proportional, if not, they are not proportional
[tex]\frac{102}{140} = 0.72 \\\\\frac{170}{226} = 0.75[/tex]
state how the 2 triangles are congruent? SSS AND SAS!! hello!!!
Answer:
SAS
Step-by-step explanation:
We now that 2 sides are congruent because of the congruent marker, and the bases of the triangles are the same, meaning they are congruent. And we also have a congruent pair of angles. So we can tell if they are congruent by using the SAS theorem.
-Hope this helped
If a $900 plasma screen TV
is reduced by 25%, what is
the discount?
Answer: $225
Step-by-step explanation: 900 * .25 = 225
Answer:
$225
Step-by-step explanation:
25 : 100 = x : 900
x = 25 * 900 / 100
x = 25 * 9
x = 225
Mrs. Ferrell spent 40 minutes grading tests. That was 80% of the total number of minutes she
spent grading.
How many minutes did she spend grading?
Answer:
50 mins
Step-by-step explanation:
80 percent=40 mins
100 percent=50 mins
Find the vertex of the parabola y=2(x-1)2+4.
Answer:
(1, 4)
Step-by-step explanation:
You want the vertex of the parabola y=2(x-1)²+4.
Vertex formThe vertex form of the equation for a parabola is ...
y = a(x -h)² +k . . . . . . 'a' is the scale factor; (h, k) is the vertex
Comparing the given equation to the vertex form, we see that ...
a = 2
h = 1
k = 4
Then the coordinates of the vertex are (h, k) = (1, 4).
factorise completely: 9+35x-4x^2
Answer:
- (4x+1) (x-9)
Step-by-step explanation:
-4x^2+35x+9
Factor out the 1:
-(4x^2-35x-9)
Factor:
-(4x+1)(x-9)
The formula d=16f^2 describes the number of feet d a skydiver falls in t second of free fall. How far does a skydiver fall after 1.5 second?
The skydiver falls a distance of 36 feet after 1.5 seconds.
What is the distance?Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.Now, we have:
d=16t²t=1.5 secondsTo calculate distance:
d = 16 * 1.5*1.5d= 36 feetTherefore, the skydiver falls a distance of 36 feet after 1.5 seconds.
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Order from least to greatest 5.5 7.428, 5.5081, 5.58
Answer:
5.5,5.5081, 5.58, 7.428
Step-by-step explanation:
to look from least to greatest just look at each place value and see which one is slower and any that you can’t see is zero
Hopes this helps please mark brainliest
what are the roots of the following function? f(x) (4x-1)(x+9)
please answer due today.
Answer:
[tex]x=-9, \quad x=\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given function:
[tex]f(x)=(4x-1)(x+9)[/tex]
The roots of a function are the x-values for which the function equals zero. Therefore, to find the roots, set the function to zero and solve for x.
Set the function to zero:
[tex]\implies f(x)=0[/tex]
[tex]\implies (4x-1)(x+9)=0[/tex]
Zero Product Property
If a ⋅ b = 0 then either a = 0 or b = 0 (or both).
Apply the zero product property:
[tex](4x-1)=0 \implies x=\dfrac{1}{4}[/tex]
[tex](x+9)=0 \implies x=-9[/tex]
Therefore, the roots of the given function are:
[tex]x=-9, \quad x=\dfrac{1}{4}[/tex]
how do i make v the subject of the formula, W=5+v/v-3
The expression that makes v the subject of the formula, W=5+v/v-3 is v= (5 + 3W)/ (W-1).
How can the subject of the formula be made?The concept is the concept of finding the subject of the formula in an expression.
To know the subject of the formula, we will need to perform some simplification:
W=5+v/v-3
then this can be expressed as:
W(v-3) = 5+v
Wv - 3W = 5+v
then we can rearrange the expression as:
Wv - v = 5 + 3W
then we can factorize the expression as :
v(W-1) = (5 + 3W)
v= (5 + 3W)/ (W-1)
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Classify the following inequalities into the given categories. Drag each inequality into the appropriate category. Strict inequality Nonstick inequality
3x-2<1
3x-> 1
3x-2>1
3x-2<1
All the inequality given are all non strict inequalities
Inequality classification
3x - 2 < 1 non strict inequality
3x - > 1 non strict inequality
3x - 2 > 1 non strict inequality
3x - 2 < 1 non strict inequality
What is inequality ?Inequality refers to a way of representing relationships between variables at the left hand side of equation to the variables to the right hand side of an equation.
The signs used in inequality are of 4 types namely
less thangreater thanless than or equal togreater than or equal toThe strict inequality are those inequality that the equation fails when equality sign is used to represent the relationship of the left and right hand side of an equation.. The inequality sign used here is only less than or greater than
The non strict inequality maintains the balance between both sides of the equation whether the equality is used or not
None of the given expression has the "less than or equal to" OR "greater than or equal to" signs hence they are all strict inequality
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1
Writing the function f(x) = 4x + 2, what does f(x) represent?
The phrase [tex]f (x)[/tex] denotes a formula with [tex]x[/tex] serving as its input variable. Not multiply f and x, though!
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable .
The x in [tex]f(x)[/tex] is referred to the argument of the function or simply the argument in function notation. Therefore, the response is just 2 if they ask for a argument and give you the equation [tex]f(2)[/tex].
Hence, the phrase [tex]f (x)[/tex] represents a formula with [tex]x[/tex] serving as its input variable.
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Rafael has saved up $650 to buy a new laptop. The laptop he wants is in stores for $749.99 but is on sale for 25% off. After the discount is removed, a tax rate of 5.75% is added on. After Rafael buys the laptop, how much money will he have left over? Remember to round to the nearest hundredth as you go because this is money.
The amount of money left over after buying the laptop is $55.17.
How to calculate the value?From the information, the laptop he wants is in stores for $749.99 but is on sale for 25% off and after the discount is removed, a tax rate of 5.75% is added on.
This will be:
= $749.99 - (25% × $749.99)
= $749.99 - $187.50
= $562.49
The addition of the tax will be:
= $562.49 + (5.75% × $562.49)
= $562.49 + $32.34
= $594.83
The money left over will be:
= $650 - $594.83
= $55.17
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The scatterplot illustrates the relationship between two quantitative variables: the amount of an active ingredient in a medicine and the level of pain relief (on a scale of 1 to 10).
The relationship in the scatterplot is
weak
positive and linear.
positive and nonlinear.
negative and moderately strong.
The relationship in the scatterplot is positive and nonlinear.
We utilize correlation to assess the strength of a linear relationship between two numerical variables. The strength of a linear relationship is gauged by correlation.
What is scatterplot?A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. A statistical method known as correlation is used to assess the STRENGTH and DIRECTION of the link between two variables. Two identical-person scores are necessary for correlation. These scores are typically denoted by the letters X and Y.An association between two variables is called a correlation. A correlation coefficient, which is a numerical representation of the strength and direction of the relationship, can be used to quantify the amount of correlation, or relationship.To learn more about scatterplot refer to:
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what are some integers whose product is negative?
The examples of some integers whose product is negative include:
-4 × 3 = -12
10 × (-2) = -20
What is an integer?An integer is a number that has no decimal or fractional part and can be negative or positive, including zero.
A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.
Integer examples include -5, 1, 5, 8, 97, and 3,043. Numbers that are not integers include: -1.43, 1 3/4, 3.14, and
In this case, the example has been given above. It should be noted that the product of a negative and positive number is a negative number.
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If RS = 7, ST = 3x, and RT = x + 9, what is RT?
The required value of RT is 10 units when RS = 7, ST = 3x, and RT = x + 9.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment RT, where the length of line segment RT refers to the distance between its endpoints, R and T.
RS = 7, ST = 3x, and RT = x + 9
R______________S______________T
⇒ RT = RS + ST ....(i)
Substitute the values of RS = 7, ST = 3x, and RT = x + 9,
⇒ x + 9 = 7 + 3x
⇒ 3x - x = 9 - 7
⇒ 2x = 2
⇒ x = 1
Substitute the values of x = 1 in RT = x + 9
So RT = 1 + 9 = 10
Hence, the value of RT is 10 units.
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A prize is divided in the ratio 1:8.If the larger share is £72 what is the smaller share?
Answer:
£9
Step-by-step explanation:
1:8=9
?:72
72÷9=8
9×1=9
Graph y+3=5/2(x-5) on graph paper
The graph of the function [tex]y+3=\frac{5}{2}(x - 5)[/tex] is attached below.
What is graph of the function?
In mathematics, the set of ordered pairings where f(x)=y exists is the graph of a function. These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.
Consider the given function, [tex]y+3=\frac{5}{2}(x - 5)[/tex]
It is in the form [tex]y-y_1=m(x-x_1)[/tex]
Where, [tex](x_1, y_1)[/tex]is the point and m is the slope.
Graph passes through the point [tex](x_1, y_1)[/tex] and having slope m.
Here, [tex](x_1, y_1) = (5, -3), m = \frac{5}{2}[/tex]
Therefore, graph passes through the point (5, -3) and having slope 5/2.
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What is the graph of f(x) = 3x – 4, where x ≥ 1?
The required graph of the given expression f(x) = 3x – 4, is shown.
Given that,
To draw the graph of the expression f(x) = 3x – 4, for the domain x ≥ 1.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
y = f(x)
Given expression,
f(x) = 3x – 4,
So,
y = 3x - 4
For the domain y x ≥ 1,
Since the function given is a linear function and the graph will be a straight line of the slope m = 2,
Thus, the required graph of the given expression f(x) = 3x – 4, is shown.
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please help me with this problem!!
An equation is a collection of variables and constants. The value of x and y for the system of the equation as -2x - 4y = -18 and x = y will be x = 3 and y = 3.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given system of equations,
-2x - 4y = -18 and x = y
Substitute, x = y
-2(y) - 4y = -18
-6y = -18
y = 3 and x = 3
Hence "The value of x and y for the system of the equation as -2x - 4y = -18 and x = y will be x = 3 and y = 3".
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If you are standing 23 m for a tree and the angle of elevation from where your standing is 35° what is the height of the tree?
Step-by-step explanation:
angLe of elevation= 35°distance from the tree=23mtantither= opp/adj opp=heightadj= 23mtither=35°tan 35=H/230.7002=H/23H=23×0.7002H=16.10ma system is tested for faults once per hour. if there is no fault, none will be detected. if there is a fault, the probability is 0.78 that it will be detected. the tests are independent of one another. given that a fault has gone undetected for 2 hours, what is the probability that it will be detected in the next hour? round the answer to two decimal places. numeric response
The probability that it will be detected in the next hour is 0.04.
For a system, a fault test each hour is a Bernoulli with success defined as detecting a fault.
The probability of success is 0.78
Let 'x' denote the number of tests conducted up to and including the test that detected a fault.
Then x* - Geometry (0.78).
The probability mass function of the random variable x is;
P(x) = { P( 1 - P )ˣ⁻¹ x = 1,2, . . .
{ 0 otherwise
The Probability that a fault will be detected on the third hour, given that it has gone undetected during the first two hours is;
P(X = 3 / x = 2) = P(X = 3 and x > 2) / P(x > 2)
= P( x = 3 ) / 1- P(x ≤ 2)
= P( x = 3 ) / 1-P(x = 1) - P(x = 2)
= P(3) / 1-P(1) - P(2)
= (0.78)(0.2)² / 1 - (0·78)(0.2) - (0.78)(0.2)
= (0.78)(0.04) / 1 - (0.78)(0.2) - (0.78)(0.2)
= 0.0312 / 1 - 0.156 - 0.156
= 0.0312 / 0.688
= 0.04
The probability that it will be detected in the next hour is 0.04
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Anson estimated he would need 17 hours to complete is science project. He actually needed 19 1/2 hours. What was his percent error?
Answer: 14.7%
Step-by-step explanation:
% error = (estimated - actual) / (actual) x 100
% error = (17 - 19.5) / 17 x 100 = - 14.7%
The negative sign means that he underestimated the time needed