The simplified form is 7x - 2y.
Distributive property: What Is It?
This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
According to question,
5x-4y+2(y+x)
5x-4y+2y+2x
7x-2y
Hence, simplified form is 7x - 2y.
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When attacked by a giant hornet, Japanese honeybees cluster together to form a ball around the hornet and then generate heat by buzzing. The honeybees can endure temperatures of up to 48C, which is 3C greater than the hornet can tolerate. Find the maximum temperature tolerated by a Japanese giant hornet.
_______ degrees Celsius
The required temperature that can be tolerated by Japanese hornets is 45°C.
Given that,
The honeybees can endure temperatures of up to 48C, which is 3C greater than the hornet can tolerate.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
honeybees temperature = 48
According to the question temperature endure by hornet,
= honeybees temperature - 3
= 48 - 3
= 45°C
Thus, the required temperature that can be tolerated by Japanese hornets is 45°C.
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how to solve this problem? Result from step 1: Expected value is -$3.23.
The expected value was already calculated as:
[tex]E=-3.23[/tex]The expected value is the mean value you would get per try.
Since we played 623, the expected value is 623 times the expected valu for a single play, so:
[tex]E_{623}=623\cdot E=623\cdot(-3.23)=-2012.29[/tex]So, the expected value after playing 623 times is to -$2012.29, that is, lose $2012.29.
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 10.8 seconds
Step-by-step explanation:
[tex]-16t^2 +170t+40=10\\\\16t^2 -170t-30=0\\ \\ t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]
Which of the pictures below shows the graph of the inequality y
Firstly, less than and greater than signs are represented with a chained line on the graph. Therefore,
[tex]\begin{gathered} yThe graph is B. Picture DIs the relation a function?
Choose the answer that is entirely correct.
Responses
This relation is a function because each input has exactly one output.
This relation is a function because each input has exactly one output.
This relation is not a function because an output has two different inputs.
This relation is not a function because an output has two different inputs.
This relation is not a function because an input has two different outputs.
This relation is not a function because an input has two different outputs.
This relation is a function because all of the outputs have exactly one input.
The correct option is
This relation is a function because each input has exactly one output.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
From the figure the input are distinct and no input get coincide with output.
So, A function is a relation that states that there should only be one output for each input.
Alternatively, we could say that a function is a special sort of relation (a collection of ordered pairs) that adheres to the rule that every X-value should only be connected with one y-value.
Hence, This relation is a function because each input has exactly one output.
This relation is a function because each input has exactly one output.
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Tonio works for a website that sells theater tickets and receives a base salary of $18,200 per year. He earns a commission of 2.3% for all ticket sales, which average $15,500 per week. He also gets a "viewed” fee of 3 cents each time someone comes to the website, whether or not any tickets are purchased. The number of visitors to the website averages 12,400 per month a) what is the total commission Tonio will earn this year. b) What is the total amount Tonio earns from visits to the website?c) What are Tonio’s total earnings for the year?
Tonio's salary is composed by:
- A base value of $18,200.
- A commission of 2.3% for all ticket sales, which average $15,500 per week. Hence 52 x 15,500 per year, as a year has 52 weeks.
- Another commission of $0.03 per visitor to the website, which averages 12,400 per month, hence 12 x 12,400 per year, as a year has 12 months.
Then, the total commissions are given by:
T = 0.023x52x15500 + 0.03x12x12400 = 23002
Tonio will earn a total of $23,002 in commissions this year.
Total amount Tonio earns from visits to the website: 0.03x12x12400 = $4464
Tonio’s total earnings: $18,200 + $23,002 = $41202
Jenna has been keeping an eye on an emerald ring she likes. Its original price was
$35,450. After being marked down for a clearance sale, it is now $24,815. By what percent
has the price of the ring gone down?
Answer: look at the explanation
Step-by-step explanation:
It goes down by 40%
the diameter of a circle is 14 centimeters what is the radius? give the exact answer in simplest form
The radius is half the diameter, that is:
[tex]r=\frac{D}{2}[/tex]In this case D=14 cm, hence:
[tex]r=\frac{14}{2}=7[/tex]therefore the radius is 7 cm.
Which of the following trigonometric values are negative? 1. sin(-292°) II. tan (2pi/3°) III. cos (153°) IV. cot (222°)a. 2, 3, and 4b. 2 and 3c. 3 onlyd. 1 and 3
Therefore, the answer is:
b. 2 and 3
Read the following sentence.We will go to the park tomorrow if you finish your homework.What is the connecting word in the sentence and what logical symbol represents it?
The connecting word in the sentence is If.
The logical symbol is
[tex]\rightarrow[/tex]Therefore, the correct option is Option 2.
can someone please help me with this?
Answer:
3=3x+3
4=2x+8
Step-by-step explanation:
Find the parallel line for (2,0) y=-5x+3
The linear equation parallel to y=-5x+3 is:
y = -5*x + 10
How to find the parallel line?Two lines are parallel if and only if both lines have the same slope.
Remember that the general line is:
y = m*x + b
Where m is the slope and b is the y-intercept.
So a line parallel to:
y = -5x + 3
Must have a slope equal to -5, so our line is:
y = -5*x + b
To find the value of b we use the fact that the line passes through (2, 0), then:
0 = -5*2 + b
0 = -10 + b
10 = b
Then the line is:
y = -5*x + 10
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Trees in the backyard need soil around their roots. ?Chris buys 4 pounds of soil. How many ounces of soil does he have for the trees?
Answer:
64 ounces.
Step-by-step explanation:
You multiply the mass amount by 16 since there are 16 ounces in 1 pound. 16*4=64.
Find all solutions of the following equation in the interval [0, 2pi).2cos^2 x = 2- sin
Step 1: problem
[tex]2\cos ^2x\text{ = 2 - sinx}[/tex]Step 2: Concept
[tex]\text{cos}^2x=1-sin^2x[/tex]Step 3: Method
[tex]\begin{gathered} 2\cos ^2x\text{ = 2 - sinx} \\ 2(1-sin^2x)\text{ = 2 - sinx} \\ 2-2sin^2x\text{ = 2 - sinx} \\ 2-2=2sin^2x\text{ - sinx} \\ 2\sin ^2x\text{ - sinx = 0} \\ \sin x\text{ (2sinx - 1 ) = 0} \end{gathered}[/tex][tex]\begin{gathered} \sin x\text{ = 0 or 2sinx - 1 = 0} \\ x\text{ = }\sin ^{-1}0\text{ or 2sinx = 1} \\ \text{ x = 0 or sinx = }\frac{1}{2} \\ \text{ x = }\sin ^{-1}(\frac{1}{2})\text{ = 30} \end{gathered}[/tex][tex]x\text{ = 0, }\pi,\text{ }\frac{\pi}{6},\text{ }\frac{5\pi}{6}[/tex]Final answer
Jermaine bought a pickleball paddle that cost $65.90. he also bought four pickle balls. he spent $79.90. part a: which equation can you use to find p, the cost of each pickle ball? part b: what was the cost of each pickle ball?
Answer:
a. 65.90 + 4p = 79.90
4p = 14.00
b. p = 3.50
Given the polynomial f(x) = x4 + 3x3 − 3x2 − x, which of the following is true? (1 point)
(x + 1) is a factor since f(−1) = 0.
(x − 1) is a factor since f(−1) = 0.
(x + 1) is a factor since f(1) = 0.
(x − 1) is a factor since f(1) = 0.
The factor of the polynomial is (x-1)
f(x)=x4 + 3x3 − 3x2 − x
At x=1 the value of the polynomial is 0
so this is factor of the polynomial (x-1)
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a car travels 100 miles at a speed of 40 mph
calculate how long the journey lasts give answers in hours and minutes
Answer:
2 Hours and 20 Minutes
Step-by-step explanation:
100/40 = 2.5
2 Hours and 20 Minutes
PLEASE HELP PLEASE HELP!!!!
You run m miles on Monday, the same amount on Tuesday, and 3 miles on Wednesday. Write an expression in the simplest form that represents the total amount in each situation.
(please show work)
The mean, or average, is equal to the sum of all the miles divided by the number of terms you added together. We have 4 terms that will be added, but are missing one term. We will solve for the missing term by setting up an equation for the average and solving for x, the number of miles you must run on Thursday.
3 = (2 + 3 + 4 + x) / 4
12 = 2 + 3 + 4 + x
12 = 9 + x
x = 3 miles
C. $3,006D. $3,135given, compute40 answer3. Which function has the largest value forf(-3)?) puug - 3 functionA f(x) = 2x - 5-786-33-5B. f(x) = 2 - 4x7Q-10-30C. f(x) = 6 - 3*-76-363)D. F(X) = 2* + 10 20-07104. When Mack left the bank, the temperature was 25°C. When he got htomnarature was 730F. If CA=f-32, about how many degrees
To know which function has the largest value for f(3), we need to substitute x=-3 in each function:
A. f(x)=2x-5
f(-3)=2(-3)-5=-11
B. f(x)=2-4x
f(-3)=2-4(-3)=14
C. f(-3)=6-3^(-3)
f(-3)=6-1/27
f(-3)=161/27
D. f(x)=2^(x)+10
f(-3)=2^(-3)+10
f(-3)=1/8+10=81/8
The largest value for f(-3) is 14, The answer is B f(x)=2-4x
Solve the following equation for A
4 = gA
What is an equation of the line that passes through the points (3, -4) and (-4, 3)
The equation of a line passing through the point (3, -4)and (-4, 3) is y = -x - 1
How to find equation of a line?The equation of a line passing through a point can be represented as follows;
In slope intercept form,
y = mx + b
where
m = slopeb = y-interceptThe line is passing through the point (3, -4) and (-4, 3).
Therefore,
slope = m = 3 + 4 /-4 - 3
m = 7 / -7
m = -1
Let's find the y-intercept using (3, -4)
-4 = -(3) + b
b = -4 + 3
b = -1
Therefore, the equation of the line is y = -x - 1
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The graph below represents taxi fares in the city of Chicago. If a woman travels 8.5 miles by taxi, what would you expect her fare to be? Give an estimate to the nearest dollar.
ANSWER:
$22
STEP-BY-STEP EXPLANATION:
To determine the value of the fare we use it through the graph just like this:
Therefore, the correct option is $22
What single transformation was applied to
quadrilateral A to get quadrilateral B?
A.translation
B.rotation
C. Reflection
D.dilation
The transformation that is applied to the quadrilateral A to get quadrilateral B is translation.
We can see that the quadrialteral A and B look exactly the same.
It is just that they are being moved from one place to another.
So. it cannot be a rotation or a reflection.
Also, the size of both the quadrilaterals are same.
So, it can also not be a dilation.
So, the transformation that is applied is:
Translation.
Therefore, the transformation that is applied to the quadrilateral A to get quadrilateral B is translation.
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how do you multiply 120 by 1/6
The expression is,
[tex]\frac{1}{6}\times120[/tex]On solving, we have,
[tex]\begin{gathered} 120\times\frac{1}{6}\Rightarrow\frac{120\times1}{6}=20 \\ \end{gathered}[/tex]Thus, the required answer is 20.
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 2.5, 5.4
Step-by-step explanation:
[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]
Two angles are supplementary.
The measure of the larger angle is four more than three times the measure of the smaller angle. Find the measures of both angles.
Answer:
44° and 136°
Step-by-step explanation:
let x represent the smaller angle then larger angle is 3x + 4
supplementary angles sum to 180° , so
x + 3x + 4 = 180
4x + 4 = 180 ( subtract 4 from both sides )
4x = 176 ( divide both sides by 4 )
x = 44
3x + 4 = 3(44) + 4 = 132 + 4 = 136
then
smaller angle = 44° and larger angle = 136°
a bag of 13 marbles contains 5 marbles with red on them, 6 with blue on them, 7 with green on them and 5 red and green on them....... I'll take a picture of the rest of the question
We have to calculate the probability that we choose a marble that has either red or green on it.
We have a total of 13 marbles.
We can draw a Venn diagram to look at the green and red marbles:
We can see in the diagram that is expected to all the marbles that have red on it to have also green, because they are not mutually exclusive.
Then, we can calculate the probabilities as:
[tex]\begin{gathered} P(G\cup R)=P(G)+P(R)-P(G\cap R) \\ P(G\cup R)=\frac{7}{13}+\frac{5}{13}-\frac{5}{13}=\frac{7}{13} \end{gathered}[/tex]NOTE: If we write the exact color of each marble we will get:
1) 6 blue marbles
2) 2 only green marbles, as 5 of the 7 marbles that have green are "red and green" marbles.
3) 0 only red marbles: all 5 of the marbles that have red are "red and green"marbles.
4) 5 red and green marbles.
Then, if we add, we get 6 + 2 + 5 = 13 marbles.
The marbles that have red or green are: 2 green and 5 red and green, so there are 7 marbles that have red or green.
Then, the probability is equal to number of successful events / total events = 7/13.
It is the same result as the previous calculation.
Answer: the probability is 7/13.
The distance around a circle is called the
OA. volume
OB. area
OC. circumference
Marina
TAPOR
Hea
OD. diameter
The distance around the circle is called circumference.
What is circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry.
Also, it has rotational symmetry around the Centre for every angle.
The circumference of a circle is defined as the
distance around the circle. The word ‘perimeter’
is also sometimes used, although this usually
refers to the distance around polygons, figures made up of the straight line segment.
A circle circumference formula is given by
C = πd = 2 π r
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the treasures location has an absolute value between 1 1/2 and 9 show on the number line where the treasure could be
The location is between values of 1 1/2 and 9.
The values being absolute it means that they have no sign, i.e. they can be either positive or negative.
Since the values are both positive, you have to draw a positive number line.
The purple line indicates the possible locations over the number line.
Review Josh’s steps for solving the equation :
[tex]x^2-6x-7=0\\ \\ x^2-6x=7\\\\x^2-6x+9=7+9\\\\(x-3)^2=16\\\\x-3=6\\x=19\\\\x-3=-16\\x=-13[/tex]
a) State what method he was using to solve the equation.
b) Explain where in his work he had a mistake.
c) Show how to fix his mistake and what the correct answer should be.
The method Josh was using to solve the equation is completing the square method.
Josh made mistake where he was supposed to find the square root of both sides.Josh should fix his mistake by finding the the square root of both sides and the correct answer should be x = 1 or -7How to solve quadratic equation?x² - 6x -7 = 0
a = 1
b = -6
c = -7
x² - 6x = 7
Find the half of b and square it, then add to both sides
x² - 6x + 9 = 7 + 9
factorize the expression on the right
(x - 3)² = 16
Find the square root of both sides(x - 3) = √16
x - 3 = ± 4
x = 4 - 3 or x = -4 - 3
x = 1 or -7
Therefore, the correct answer to the quadratic equation using completing the square method is x = 1 or -7
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