Answer:
$13.50
Step-by-step explanation:
30 - (11.90 + 4.60) = 30 - 16.50 = 13.50
Please Help!!
Simplify -|-7+4|
Answer: 7-4
Step-by-step explanation:
So basically multiply (-1) to -7 and 4
-7(-1)=7 4(-1)=-4
then, 7-4
HELPPPP
Which of the following graphs represents a function?
A Th graph showing a circle intercepting the x-axis at 5 and -5 and the y-axis also at 5 and -5.
B The graph shows a parabola open to the top and touching the base at (0, 0).
C The graph shows a s- shaped curved line starting from (10, 2) and taking the curve at points (0, 1), (-1, 0), (0, -1), and (0, -3) and ending at (-10, -4).
D The graph shows a parabola open to the left and touching the base at (0, 0).
The graph that represents a function is:
The graph shows a parabola open to the top and touching the base at
(0, 0).
The graph shows a parabola open to the left and touching the base at
(0, 0).
Options B and D is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can have many-to-one but not one-to-many.
A
The graph shows a circle intercepting the x-axis at 5 and -5 and the y-axis also at 5 and -5.
This means,
If the center of the circle is (h, k).
The coordinates of the circle are:
(5, k), (-5, k), (h, 5), and (h, -5)
(h, 5) and (h, -5) indicate one-to-many.
This is not a function.
B.
The graph shows a parabola open to the top and touching the base at
(0, 0).
The equation of the parabola is y = x².
For x = 1, y = 1
For x= -1, y = 1
This indicates many-to-one only.
This is a function.
C.
The graph shows an s-shaped curved line starting from (10, 2) and taking the curve at points (0, 1), (-1, 0), (0, -1), and (0, -3) and ending at (-10, -4).
The points (0, 1), (0, -1), and (0, -3) indicate one-to-many.
This is not a function.
D
The graph shows a parabola open to the left and touching the base at
(0, 0).
The equation of the parabola is y² = 4px.
This equation is a function.
Thus,
The graph that represents a function is a parabola open to the top and a parabola open to the left.
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1. A boat is 15 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 65° angle is formed between the closest point to the boat, the person, and the boat. How far is the person from the boat? Round your answer to the nearest tenth of a foot. Show your work.
The person is 16. 55ft from the boat
How to determine the distanceFrom the information given, we have that;
The boat is 15ft away from the shoreline65° angle is formed between the closest point to the boatTo determine the distance between the boat and the person, let's use the trigonometric identity, sine
sine θ = opposite side/hypotenuse side
Given that;
Opposite side = 15ftHypotenuse side = dθ = 65 degreeSubstitute the value
sin 65 = 15/d
cross multiply
d = 15/sin 65
Find the value
d = 15/0.9063
divide the values
d = 16. 56 ft
Hence, the value is 16.56ft
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The camp director is putting 85 sack lunches
The meaning of the situation involving the camp director and the sack lunches, is D. The number of lunches left over after packing the boxes.
What does the remainder show ?The remainder in this instance, shows the number of lunches that the camp director will not be able to fit in boxes and so will be left over after the boxes have been packed.
There are 85 sack lunches and yet only 3 lunches can go into a single box. The number of boxes would be:
= 85 / 10
= 10 boxes remainder 5 lunches
10 boxes will be filled with lunch sacks and 5 lunches will be leftover.
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The full question is:
The camp director is putting 85 sack lunches in boxes for a picnic. She can fit 8 lunches in each box. She does the division problem shown to find out how many boxes she will need. 85 divided 8 = 10 remainder 5
What is the meaning of the remainder in this situation?
A. The number of extra boxes needed.
B. The number of extra lunches needed.
C. The number of boxes left over after packing the lunches.
D. The number of lunches left over after packing the boxes.
Paula downloaded 16 songs at a total cost of $32.00. What is the unit rate, in dollars, for the songs?
Answer: Paula spent $2 for each song.
Step-by-step explanation: For this question, we have to find the unit rate that Paula paid per song. As we're already given the amount of songs downloaded and the total cost, all that we really have to do is divide!
Because we want to know the amount of money spent on one song, we divide the amount of money spent by the amount of songs purchased. This gives us 32/16 = 2.
Paula spent $2 (don't forget the units!) for each song. This is out unit rate. Hope this helps!
17. Which expression is a factor of 6x² + 7x-5?
A 3x + 5
B 2x + 1
C 6x +1
D x + 5
Answer:
A
Step-by-step explanation:
6x² + 7x - 5
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 6 × - 5 = - 30 and sum = + 7
the factors are - 3 and + 10
use these factors to split the x- term
6x² - 3x + 10x - 5 ( factor the first/second and third/fourth terms )
= 3x(2x - 1) + 5(2x - 1) ← factor out (2x - 1) from each term
= (2x - 1)(3x + 5) ← in factored form
with 3x + 5 being a factor
One-fifth per cent of the blades produced by a blade manufacturing factory turn out to be defective. The blades are supplied in packets of 10.Use Poisson distribution to calculate the approximate number of packets containing no defective in a consignment of1,00,000 packets.
Probability of defect per blade = 1/500 = 0.002
Poisson distribution :
Pₓ (k) = (x ^k)/k × e⁻ˣ
Where k = The number of defective blades in a packet.
For a packet of 10 blades the mean number of defect x = 0.002 × 10 = 0.02
1.) When k = 0
Pₓ(0) = (0.02⁰ / 0!) × e - 0.02 = 0.980199
The approximate number of packets containing blades with no defective is :
10000 × 0.980199 = 9802
2.) When k = 1
Pₓ(1) = (0.02 / 1!) × e-0.02 = 0.019604
Approximate number containing one defective is :
10000 × 0.019604 = 196
3.) When k = 2
Pₓ(2) = (0.02² / 2!) × e - 0.02 = 0.000196
Approximate number containing 2 defective :
0.000196 × 10000 = 1.9 = 2
4.) When k = 3
Pₓ(3) = (0.02³ / 3!) × e-0.02 = 0.000013
Approximate number containing 3 defective is :
0.000013 × 10000 = 0.13 = 0
Answer:
no defective blades in a consignment of 1,00,000 packets is 99837.
Step-by-step explanation:
we first need to find the mean number of packets containing no defective blades. This mean is equal to the total number of packets (1,00,000) multiplied by the probability of a packet containing no defective blades.
The probability of a blade being defective is given as 0.002 (or 2/1000) or 2/100 or 1/50 or 2%.
Since a packet contains 10 blades. So the probability of a packet containing no defective blades is (1 - 0.002)^10 = 0.999936 or (1-0.02)^10 = 0.99837
So the mean number of packets containing no defective blades is (1,00,000 * 0.99837) = 99837
Evaluate the expression when x=6. X^2-9x-7
The value of the expression x² - 9x - 7 when x = 6 is -25.
What is Quadratic Equation?Quadratic equations are second degree polynomial equations which are of the form ax² + bx + c = 0, where a, b and c are real numbers and x is the variable with the highest degree of 2.
Given the quadratic expression,
x² - 9x - 7
We have to find the value of the expression when x = 6.
Substitute x = 6, we get,
6² - (9 × 6) - 7 = 36 - 54 - 7
= -25
Hence the value of the given expression when the value of x = 6 is -25.
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yvette buys sandwiches for $22from a restaurant using its online ordering system her bill includes the food purchase price as well as 8.5% sales tax she choose to add an 18%tip for delivery driver to the bill when she completes the online order.to the nearest whole percent what percent did she pay over the price of the sandwiches
To the nearest whole percent, the percentage Yvette paid over the price of the sandwiches is 27%.
How is the percentage determined?The percentage represents a proportion of a whole value.
The percentage is determined as the quotient of the difference (increase or decrease) and the initial value, multiplied by 100.
The purchase price of restaurant sandwiches = $22
Sales tax = 8.5%
= $1.87 ($22 x 8.5%)
Additional tip for delivery = 18%
= $3.96 ($22 x 18%)
Total bill = $27.83 ($22 + $1.87 + $3.96)
Difference between the total bill and the purchase price = $5.83 ($27.83 - $22)
Percent difference = 26.5% ($5.83/$22 x 100)
= 27%
Thus, Yvette paid 27% above the price of the sandwiches in form of sales tax and tips.
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hi can someone please help with this i’m confused by the graph. helpppp
Therefore , solving the provided question, we can say that the, probability P( 24 period hour) = 5/24
What is probability?The probability that an event will occur or a claim will be true is measured by probability theory, a branch of mathematics. The probability of an occurrence is a number from 0 and 1, in which about 0 represents how likely the event should be to occur and 1 represents certainty. A probability is a quantitative illustration of the possibility that a specific occurrence will take place. Probabilities can also be expressed as percentages ranging from 0% to 100% or from 0 to 1. the ratio of the number of outcomes to the proportion of occurrence in a whole set all equally likely options that lead to a specific occurrence.
Here,
=> E1 = stops at 5 clock
=> E2 = start at 24 hours
=> P( 24 period hour) = 5/24
=> the, probability P( 24 period hour) = 5/24
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Examine the straight line depreciation O I/so 1 A value 189 art mintiw graph for a car. 9m 10 Doled 1 35,000 a. At what price was the car purchased? b. After how many years does the car totally depreciate? c. Write the equation of the straight line depreciation graph shown.
a. The y-intercept of the graph is 35,000, which represents the original purchase price of the car. Therefore, the car was purchased for $35,000.
b. We can see from the graph that the car's value becomes 0 after 9 years. Therefore, the car totally depreciates after 9 years.
c. The equation of a straight line can be written as y = mx + b, where m is the slope and b is the y-intercept. The slope of the graph is the rate of depreciation, which is -4000. The y-intercept is the original price of the car, 35000.
So the equation of the straight line depreciation graph is: y = -4000x + 35000
This equation represents the value of the car, where y is the value of the car (in dollars) x is the number of years since the car was purchased and -4000 is the rate of depreciation and 35000 is the original price of the car.
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
Answer: There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9). ✅
PLEASEEEE GIVE BRANLIEST
Step-by-step explanation:
There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9). One statement that could be true for g is:
g(x) = 2x + 8
This function has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45. It also satisfies the values of g(0) = -2 and g(-9) = 6.
It's important to note that this is only one possible function that satisfies the given information and there are many other functions that could also work such as:
g(x) = 3x -2
g(x) = -2x +10
g(x) = x+5
So the statement that could be true for g is that "There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9)."
*Keep in mind you didn't specify a specifc statement to verify false or true*
What is the product of 6\sqrt{8}6 8 and 3\sqrt{24}3 24 in simplest radical form?
The product of 6√8 and 3√24 in simplest radical form is 144√3
How to determine the productWe can solve this problem by using the distributive property and simplifying the radicals.
6√8 * 3√24 = (6 * 3) * √(8 * 24)
Evaluate the products
6√8 * 3√24 = 18 * √(8 * 24)
Evaluate the products of radicals
6√8 * 3√24 = 18 * √(192)
Simplify the radical
6√8 * 3√24 = 18 * 4 * √12
So, we have
6√8 * 3√24 = 72√12
Now to simplify the radical, we can divide the radicand by the greatest perfect square that is a factor of it.
So, we have
72√12 = 72 * 2 * √3
= 144√3
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Could someone please help me with this?
Answer:
b = 10
Step-by-step explanation:
[tex]y=(x-h)^2+k\\y=(x-(-5))^2+9\\y=(x+5)^2+9\\y=x^2+10x+25+9\\y=x^2+10x+34[/tex]
For the following function f(x)=x-3/5 Find f^-1(x)
Answer:
the having of the record is that
Given the function f'(x)=x^{5}-5x^{3}, determine all intervals on which f is decreasing.
The function f'(x) is decreasing on the interval (-√5, 0) and (0, √5)
What is a function?A function is a mathematical equation that shows the relationship between two variables.
How to find the interval on which the function is increasing?Givenj the function f'(x) = x⁵ - 5x³, to find the points at which the function is increasing, we find its critical points by equating it to zero.
So, f'(x) = x⁵ - 5x³
x⁵ - 5x³ = 0
x³(x² - 5) = 0
⇒ x³ = 0 and x² - 5 = 0
⇒ x = 0 and x² = 5
⇒ x = 0 and x = ±√5
To determine the points at which f'(x) is decreasing, we differentiate f'(x) with respect to x and substitute the values of x into it.
So, we have
f'(x) = x⁵ - 5x³
df'(x)/dx = d(x⁵ - 5x³)/dx
f"(x) = 5x⁴ - 15x²
So, f'(x) is decreasing when f"(x) > 0.
So, substituting x = 0 into the equation, we have that
f"(x) = 5x⁴ - 15x²
f"(x) = 0⁴ - 15(0)²
= 0 - 0
= 0
Since f"(x) = 0. This is a point of inflection
Substituting x = √5 into the equation, we have that
f"(x) = 5x⁴ - 15x²
f"(x) = 5(√5)⁴ - 15(√5)²
= 5 (25) - 15 (5)
= 125 - 75
= 50
Since f"(x) = 50 > 0, f'(x) is decreasing
Substituting x = -√5 into the equation, we have that
f"(x) = 5x⁴ - 15x²
f"(x) = 5(-√5)⁴ - 15(-√5)²
= 5 (25) - 15 (5)
= 125 - 75
= 50
Since f"(x) = 50 > 0, f'(x) is decreasing
So, f'(x) is decreasing on the interval (-√5, 0) and (0, √5)
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1) Rick had to borrow $35,000 to buy a brand new
car. He has to pay 10% interest for 5 years. How
much interest will he have to pay?
80
On solving the provided question we can say that the total interest he pay in 5 year is = $17500.
How much is interest?The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money. The basic interest formula is as follows: Interest is equal to P, R, and T. P is the principal sum (the beginning balance). Interest rate, R (usually per year, expressed as a decimal). T = Number of intervals of time (generally one-year time periods).
Money required to borrow new car is $35,000.
and Rick pay 10% interest per year
so, interest he pay in one year = $35000 x 10% = $3500
total interest he pay in 5 year is = $17500
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Find the sum of 458 and 342. Use place value and find the sums of the hundreds, tens, and ones.
Estimated total is equal to (500 + 300) = 800.
What are place value ?In mathematics, place value refers to the relative importance of each digit in a number.
These locations begin at the unit's location (ones place).
The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located.
The value of a digit depends on its position in the number, which might result in a number having two comparable digits with distinct values.
Using place value diagrams, we can check that the digits are positioned correctly.
The right place for each digit in a number is shown on a place value chart. In order to precisely determine the positional values or worth of the various digits in a number, we must first write the.
According to our question -
to the next hundreds of 458 = 500, the estimated value
to the nearest hundreds of 324, the estimated value is 300.
Estimated total is equal to (500 + 300) = 800.
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whats the answer with all the work shown?
The answer to the work shown is x = 8.
The law of indices.The law of indices are laws that has to be applied to expressions involving powers or fractions. These laws have individual application.
Considering the given question, we have;
16^(3x - 6) = 64^(x + 4)
It can be deduced that, the factors of;
16 = 4 x 4
= 4^2
and
64 = 4 x 4 x 4
= 4^3
So that;
4^2(3x - 6) = 4^3(x + 4)
Divide through by 4 to have;
2(3x - 6) = 3(x + 4)
6x - 12 = 3x + 12
collect like terms,
6x - 3x = 12 + 12
6x = 24
x = 24/6
= 8
The answer to the work shown in the question is: x = 8
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For the function below, write the differential. f(x) = ln(1 + x2) dy = Calculate dy for the given values of x and dx. x = 2 and dx = 0.2 dy = How accurate is dy in approximating ?y (i.e., what is their difference) to the nearest thousandth?
The dy for the given values of x and dx. x = 2 and dx = 0.2 dy is 0.16
The given function f(x) = ln(1 + x2) dy
In differentiation, we have a formula where f(x) is calculated:
d/dx ln=1/u.du/dx
Apply this formula for the given function:
f(x) = ln(1 + x2) dy
f'(x)= 1/x²+1*2x dx
f'(x)=2x/x²+1 dx
To calculate the dy for the given values of x and dx. x = 2 and dx = 0.2 dy
substitute these values into f'(x) we get:
f'(x)=2x/x²+1 dx
f'(x)=2(2)/2²+1 (0.2)
f'(x)=4/5(0.2)
f'(x)=0.16
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HELP ME PLEASE I WILL GIVE BRAINLIEST AND 10 POINTS!! PLS EXPLAIN
DE and FG have the same slope, so both the sides are parallel. The opposite side of the quadrilateral are equal. Because, the opposite side of the quadrilateral are equal and parallel, DEFG is a parallelogram.
What is a parallelogram?A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
A parallelepiped is a three-dimensional shape with parallelogram-shaped faces.
DE and FG have the same slope, so both the sides are parallel.
Since, DE = FG, the opposite side of the quadrilateral are equal.
Because, the opposite side of the quadrilateral are equal and parallel, DEFG is a parallelogram.
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help …………… me please
The value of x is 10 the answer being ten is because the smaller triangle is half the size of the bigger one.
What is a formula for a triangle?
To find a triangle's area, use the formula area = 1/2 * base * height. Choose a side to use for the base, and find the height of the triangle from that base. Then, plug in the measurements you have for the base and height into the formulaThe basic formula to find the area of a triangle is, area of triangle = 1/2 (b × h); where 'b' is the base and 'h' is the height of the triangle. However, there are other formulas that are used to find the area of a triangle which depend upon the type of triangle and the known dimensions.The area of a triangle is the space enclosed within the three sides of a triangle. It is calculated with the help of various formulas depending on the type of triangle and is expressed in square units like, cm2, inches2, and so on.To learn more about formula for a triangle refers to:
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Split 500m in the ratio 1:4
If 500m is split in the ratio of 1:4, then the first part would equal 125m and the second part would equal 375m.
What is the ratio ?The ratio is a comparison of two or more related values or amounts. It is expressed as a fraction or a decimal number, and is used to compare the relative size of two or more values. Ratios can be used to compare numbers, objects, people, or other elements in order to study their relative size or relationships.
If 500m is split in the ratio of 1:4, then the first part would equal 125m and the second part would equal 375m. This is because the ratio of 1:4 can be simplified to 1/5 and 1/5 of 500m is 125m. Therefore, the first part is 125m and the second part is 375m.
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The square below represents one whole.
What percent is represented by the shaded area?
Answer:
Step-by-step explanation:
77/100 or 0.77
Which table shows a proportional relationship between x and y? Responses x 3 9 10 15 y 1 3 4 5x 3 9 10 15 y 1 3 4 5 , x 2 3 5 6 y 3 4 7 9x 2 3 5 6 y 3 4 7 9 , x 1 5 8 10 y 15 75 120 150x 1 5 8 10 y 15 75 120 150 , x 4 6 8 10 y 6 8 10 12 PLEASE I NEED HELP I NEED HELP NOW!!!!!!!!!
The table that shows a proportional relationship between x and y is:
C. x 1 5 8 10 y 15 75 120 150
What is a proportional relationship?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of that constant.
If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportional relationship can be identified by looking at data, an equation, or a graph.
In this case, the constant based on the information will be:
= 15 / 1
= 15
Also when x is 5, y will be:
= 5 × 15.
= 75..
The correct option is C.
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Every day your heart creates enough energy to drive a truck for 32 kilometers. If you combined the energy created all the students in your math class for a week, how many meters could the truck drive?
For a combined energy of 15 students in a week, a truck will drive for 914.24 meters subjective to the number of students.
How to find the meter?To find the meters a truck will drive when the energy of a class is combined in one week;
1 day per person = 32 kilometers
One week = 7 days
Assuming a math class with 15 students for 7 days = (15 students x 7 days)
= 1/(15 x 7) x 32
= 1/35 x 32 = 0.02857 x 32 = 0.91424 kilometers
Changing 0.91424 kilometers to meter = 0.91424 x 1000 = 914.24 meters. It will take 15 students 914.24 meters truck drive in one week.
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Jason makes 8 gallons of punch he serves 1 pint containers now he has 12 pints of punch how many pints of punch did jason serve
The pints of punch that Jason served were 52 pints.
How many pints are in a gallon?The number of pints that make up a gallon is 8 pints. So, in 8 gallons, we can expect that there will be 64 pints. Now, we are told that Jason served 1 pint container and now he has 12 points remaining, what we are to do is to subtract the remaining pints from the original pints that he had.
Since the original was 64 pints, removing 12 pints will amount to 52 pints. This means that 52 pints of punch were served in the 1-pint containers.
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help me please i will give brainest
Answer:
b=2a+
Step-by-step explanation:
a=1/2(b-c)
a=1/2b-1/2c
a + 1/2c=1/2b
2/1(a+1/2c)=(1/2b)2/
2a+c=
b=2a+
What hour should each influencer post to get exactly 64,500 likes?
Rihanna: L(t) = -1² +13t-20
Drake: L (t) = -2t² + 17.5t - 10
YoungBoy: L (t)=-² +30t-150
Answer should be in hours
Rihanna
Drake
Young Boy
A :: Hour 13 (1:00pm)
B :: Likes won't reach exactly 64,500
C :: Hour 18.24 (6:14pm)
Match with them
Answer:young boy
Step-by-step explanation:
What is t equal to 30+6t=11t
If 30+6t=11t then the value of t is: 6
How to solve the given equation?This is a simple algebraic equation. To solve for t, we can start by isolating t on one side of the equation.
The equation is 30 + 6t = 11t
First we can subtract 11t from both sides:
30 + 6t - 11t = 11t - 11t
This gives:
30 - 5t = 0
Next, we can add 5t to both sides:
30 - 5t + 5t = 0 + 5t
This gives:
30 = 5t
Finally, we can divide both sides by 5:
30 / 5 = 5t / 5
This gives:
t = 6
So, t is equal to 6.
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