First flight = f
second flight = s
Equations
f + s = 365 Equation 1
f = 4s + 5 Equation 2
Solve by substitution
(4s + 5) + s = 365
4s + 5 + s = 365
5s = 365 - 5
5s = 360
s = 360 / 5
s = 72
Find f
f = 4(72) + 5
f = 288 + 5
f = 293
Result
In the flight from Baltimore to Orlando there were 72 people.
Thirteen million, three hundred and two thousand, six hundred and forty? In numbers
33,300 is standard form of the given question .
What does basic math standard form mean?
Writing down extremely large or extremely small numbers simply is possible using standard form. 103 = 1000, so 4 × 103 = 4000 . Therefore, 4000 can be expressed as 4 103. Even bigger numbers can be easily recorded in standard form using this method. The conventional form of small numbers is also an option.Definition of Standard Form?
A standard form is a way of expressing a certain mathematical idea, such as an equation, number, or expression, in a way that adheres to a set of norms. The standard form is used to concisely represent very big or very small values. For instance, 4,500,000,000 years is how 4.5 billion years is written.Thirteen million, three hundred = 33,300
Two thousand, six hundred and forty = 2640
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On a coordinate plane, how are the locations of the points (3, -7) and (-3, 7) related?
1Solve for Q: C = (3P+Q/7) - 2H help!
Answer:
Q=7(C+2H-3P)
Explanation:
Given the equation:
[tex]C=(3P+\frac{Q}{7})-2H[/tex]First, add 2H to both sides:
[tex]\begin{gathered} C+2H=(3P+\frac{Q}{7})-2H+2H \\ C+2H=3P+\frac{Q}{7} \end{gathered}[/tex]Subtract 3P from both sides:
[tex]\begin{gathered} C+2H-3P=3P-3P+\frac{Q}{7} \\ \implies\frac{Q}{7}=C+2H-3P \end{gathered}[/tex]Multiply both sides by 7:
[tex]\begin{gathered} \frac{Q}{7}\times7=7(C+2H-3P) \\ \implies Q=7(C+2H-3P) \end{gathered}[/tex]The equation solved for Q gives:
[tex]Q=7(C+2H-3P)[/tex]Question 2020 points) Bob owns a watch repair shop. He has found that the cost of operating his shop is given by c(X) = 3x2 - 234x + 57, where x is the number of watches repaired. How many watches must he repair to have the lowest cost? A) 28 watches B) 57 watches C) 30 watches D) 39 watches
We need to now when c'(x) = 0, to find the minimum of the functions that is the lowest cost, so we have that the minimum of c(x) is
[tex]x\text{ = 39 }[/tex]So the answer is: D) 39.
Write 0.0000215 in scientific notation.
Given:
The number is:
[tex]=0.0000215[/tex]Find-:
The scientific notation
Explanation-:
The scientific notation is:
[tex]\begin{gathered} =0.0000215 \\ \\ =\frac{0.0000215}{10000000} \end{gathered}[/tex]So, the scientific notation is:
[tex]\begin{gathered} =\frac{0.0000215}{10000000} \\ \\ =215\times10^{-7} \end{gathered}[/tex]A triangular prism has the dimensions shown at theright. What is the volume of the prism? Round to thenearest tenth if necessary.
ok
1.- Calculate the area of the base
Area = 3 x 6/2
= 18/2
= 9 mm^2
2.- Calculate the volume
Volume = area of the base x height
Volume = 9 x 5.22
= 46.98 mm^3
Rounding to the nearest tenth
Volume = 47 mm^3
13 of 13 Want an extra challenge? This screen is **optional**: 30° If you want more practice to really level up your Right Triangle Trig skills, see if you can solve for the missing sides of the Right Triangle pictured to the left. a You can enter your results and check your work in the table below 7 HINT: The side that is 7 units long is OPPOSITE the 30° angle. Length of Hypotenuse (c) Length of Other Leg (a) Did I Get Them Right?! ( Nope. Keep trying Reset
Looking at the triangle, the reference angle is 30 degrees. The hypotenuse of the triangle is c. The opposite side of the triangle is 7 and the adjacent side is a.
We would determine the hypotenuse, c by applying the sine trigonometric ratio which is expressed as
Sin# = opposite side/hypotenuse
Sin 30 = 7/c
cSin30 = 7
c = 7/Sin 30 = 7/0.5
c = 14
We would determine the adjacent side, a by applying the tangent trigonometric ratio which is expressed as
Tan# = opposite side/adjacent side
Tan 30 = 7/a
aTan30 = 7
a = 7/Tan 30 = 7/0.5774
c = 12.12
please help me with this, I need the answer by tomorrow.
Step-by-step explanation:
First thing first we will use the alternate exterior angles theorem,
Since 67 and 23x-2 are alternate exterior angles, they are equal
[tex]67 = 23x - 2[/tex]
[tex]69 = 23x[/tex]
[tex]x = 3[/tex]
Answer:
x=3
Step-by-step explanation:
since 67 and 23x-2 are congruent angles, you can set them equal to each other and solve ~OR~ since 5x+98 and 23x-2 are supplementary angles you can add them and have that equal to 180.
First Option:
67 = 23x-2
-2 -2
65=23x
/23 /23
3=x
Second Option:
5x+98 + 23x-2 = 180
combine like terms
28x+96=180
-96 -96
28x=84
/28 /28
x=3
If they had 15 oranges,9 peaches and 18 pears to distribute into the baskets.How many baskets can they make with the SAME number of pieces of fruit in each one?? How many pieces of each type of fruit will be in each basket?
F(-6)=-8f(-3)=-6Find the linear function
We have the coordinates of two points on the line, those are (-6,-8) and (-3,-6).
Using these two points we can find the slope of the line using the following equation:
[tex]m=\frac{-8-(-6)}{-6-(-3)}=\frac{-2}{-3}=\frac{2}{3}[/tex]Use one of these points and the slope in the point slope formula to find the linear function:
[tex]\begin{gathered} y-(-6)=\frac{2}{3}(x-(-3)) \\ y+6=\frac{2}{3}(x+3) \\ y+6=\frac{2}{3}x+2 \\ y=\frac{2}{3}x+2-6 \\ y=\frac{2}{3}x-4 \end{gathered}[/tex]It means that the linear function is:
[tex]f(x)=\frac{2}{3}x-4[/tex]Plot points between and beyond the x-intercepts and the vertical asymptote. Evaluate the function.
Let's determine the values of f(x) based on the given x-values using the following function:
[tex]\text{ f\lparen x\rparen = }\frac{\text{ x}^2\text{ + x - 42}}{\text{ x - 7}}[/tex]At x = -9,
[tex]\text{ f\lparen-9\rparen= }\frac{(-9)^2\text{ + \lparen-9\rparen- 42 }}{-9\text{ - 7}}\text{ = }\frac{81\text{ - 9 - 42}}{-9\text{ - 7}}\text{ = }\frac{30}{-16}\text{ = -}\frac{15}{8}\text{ \lparen Simplified\rparen}[/tex]At x = -8,
[tex]\text{ f\lparen-8\rparen = }\frac{(-8)^2\text{ + \lparen-8\rparen - 42}}{-8\text{ - 7}}\text{ = }\frac{64\text{ - 8 - 42}}{-8\text{ - 7}}\text{ = }\frac{14}{-15}\text{ = -}\frac{14}{15}[/tex]At x = -1,
[tex]\text{ f\lparen-1\rparen = }\frac{(-1)^2\text{ +}(-1)\text{ - 42}}{-1\text{ - 7}}\text{ = }\frac{1\text{ - 1 - 42}}{-1\text{ - 7}}\text{ = }\frac{-42}{-8}\text{ = }\frac{21}{4}\text{ \lparen Simplified\rparen}[/tex]At x = 15/2,
[tex]\text{ f\lparen}\frac{15}{2})\text{ = }\frac{(\frac{15}{2})^2\text{ + \lparen}\frac{15}{2})\text{ - 42}}{\frac{15}{2}\text{ - 7}}\text{ = }\frac{\frac{225}{4}+\frac{30}{4}\text{ - }\frac{168}{4}}{\frac{30}{4}\text{ - }\frac{28}{4}}\text{ = }\frac{225\text{ + 30 - 168}}{30\text{ - 28}}\text{ = }\frac{87}{2}[/tex]At x = 10,
[tex]\text{ f\lparen10\rparen = }\frac{(10)^2\text{ + \lparen10\rparen - 42}}{\text{ 10 - 7}}\text{ = }\frac{\text{ 100 + 10 - 42}}{10\text{ - 7}}\text{ = }\frac{68}{3}[/tex]In Summary,
At x = -9, f(-9) = -15/8
At x = -8, f(-8) = -14/15
At x = -1, f(-1) = 21/4
At x = 15/2, f(15/2) = 87/2
At x = 10, f(10) = 68/3
A sequence starts Give a rule that the sequence could follow.
Let's say "n" is the last denominator
A rule that the sequence could follow is
[tex]\frac{1}{2n}[/tex]With 2 as the first value of n, this means that the next term will be 1/2(2)=1/4 and so on.
The next 3 terms in the sequence will be
1/2(8)=1/16
1/2(16)=1/32
1/2(32)=1/64
Jill Has twenty carrots she sets some on display now she has two how many did she put on display?
Answer:
the answer is 18 because if Jill put 18 on display she would have 2 left
please help me I am confused
The mass of a human cell In scientific notation is 1X 10^10 kg.
What is Scientific notation?
Scientific notation is a means to express values that are either too big or too little to be conveniently stated in decimal form (typically would lead to a long string of digits). It is also known as the standard form in the UK and scientific form, standard index form, and standard form. Scientists, mathematicians, and especially engineers frequently utilize this base ten notation because it can make some mathematical operations simpler.In many professions, huge numbers are typically expressed using the normalized scientific form, unless an alternative normalization method, such as engineering notation, is preferred.Given that mass of a human cell= is 0.000000000001 kg
In scientific notation = 1X 10^10 kg
The mass of a human cell In scientific notation is 1X 10^10 kg.
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True or false: 8 is an integer
The answer is true
the number 8 is a whole number
so
is an integer
a number that can be written without a fractional component is an integer
A natural number is an integer greater than 0
Find the sum of a number 2 units to the left of 16?
2 units left of 16 is 14
The sum is:
16 + (-2) = 16 - 2 = 14
help me please
thank you
Answer:
Domain: [1, 7]
Range: [-4, 2]
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
What will be the new position of the given point (3, –5) after reflection across the y-axis?
An employer pays $450 towards health insurance, while the employer pays $475. what is the ratio of employers contributions to the employees contributions?
Given :
An employee pays $450 towards health insurance
The second employer pays $475.
So, the ratio of employers contributions to the employees contributions=
[tex]475\colon450=\frac{475}{450}=19\colon18[/tex]
The perimeter of a square I must be greater than 102 inches but less than 138 inches find the range of the possible side lengths that satisfy these conditions hit the perimeter of the square is given by P equals 4S or S represent the length of the side explain your answer in interval notation used decimal forms for numerical value
The Solution:
Given:
[tex]\begin{gathered} 102We are required to find the range of a side (s).
[tex]102<4s\text{ or }4s<138[/tex]So,
[tex]\begin{gathered} 102<4s \\ \\ 4s>102 \\ \\ s>\frac{102}{4} \\ \\ s>\frac{51}{2} \\ \\ s>25.5 \end{gathered}[/tex]Similarly,
[tex]\begin{gathered} 4s<138 \\ \\ s<\frac{138}{4} \\ \\ s<\frac{69}{2} \\ \\ s<34.5 \end{gathered}[/tex]Therefore, the correct answer is (25.5, 34.5)
in your own words, explain how you know that equations 2x + 2 = 8 and 2x = 6 are the same and have the same solution
You have the following equations:
2x + 2 = 8
2x = 6
The previous equations are the same equation because you can subtract 2 both sides of the first equation, and in such a way you obtain the second equation. In fat, you have:
2x + 2 = 8 subtract 2 both sides
2x = 8 - 2
2x = 6
which is exactly the same second equation. This situation is enough to prove that both equations are equal and then have the same siolutions.
Candy needs to know how much fertilizer to buy her garden at home. To help Candy find out how much fertilizer she needs for her garden, use the scale drawing below to determine the area of actual garden.
The relation between the draw and the real garden is 1 in to 4 ft so we can find the new sides with a rule of 3, so the long side will be:
[tex]x_1=\frac{7\cdot4}{1}=28[/tex]and the short side:
[tex]x_2=\frac{3.4\cdot4}{1}=13.6[/tex]So the real area will be:
[tex]\begin{gathered} A=28\cdot13.6 \\ A=380.8ft^2 \end{gathered}[/tex]WILL GIVE BRAINLYEST AND 30 POINTS ANSWER ASAP
5.2187 x 10^−3, 2.05 x 10^7, and 3.40 x 10^3 are multiplied. How many significant digits should the product have?
5
3
2
1
5.2187 x 10^−3, 2.05 x 10^7, and 3.40 x 10^3 multiply all the terms. There will be 9 significant digits in the final result.
Given that,
5.2187 x 10^−3, 2.05 x 10^7, and 3.40 x 10^3 multiply all the terms.
We have to find how many digits should be significant for the product.
Multiplication is the action of adding a number to itself for the specified number of times. For instance, 3 × 4 denotes the addition of 3 to itself 4 times, and the opposite is true for the other number.
The multiplication of the given numbers is
=5.1287 × 10⁻³ × 2.05 × 10⁷ × 3.40 × 10³
=5.1287 × 2.05 × 3.40 × 10⁽⁻³⁺⁷⁺³⁾
= 35.747039 × 10⁽⁻³⁺⁷⁺³⁾
= 35.747039 × 10⁷
= 3.5747 × 10⁸
Given that the digit "3" comes before the decimal and the number "10" has a power of 8. As a result, there are 9 significant digits in total (8 + 1).
Therefore, There will be 9 significant digits in the final result.
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which graph represents the solution to the system of linear inequalities x>3 and y < or equal to 2
EXPLANATION
The system that represents the solutions to x>3 and y≤ 2 is the OPTION A
find the slope and the y intercept y=5x-3what is the slope what is the y intercept
The y-intercept is the point where the graph of the equation crosses the y-axis. This happens when x = 0. If we replace x = 0 into the equation we get the y-intercept:
[tex]\begin{gathered} y=5x-3 \\ x=0 \\ y=-3 \end{gathered}[/tex]The y-intercept is -3
Then, this equation is written in the slope-intercept form. The general form is:
[tex]y=ax+b[/tex]Where b is the y-intercept and a is the slope. If we look at the equation and compare it to the general form we can see that a = 5 and b = -3 (b is the same value we obtained before for the y-intercept)
So, the slope is 5.
The slope is the variation of y respect of x
identify the standard form of the complex number. 13(cos343°+i sin343°)
Answer:
12.43 - 3.8i
Explanation:
The standard form of a complex number is a + bi
In this case, the number is
13(cos(343) + isin(343))
Multiplying 13 by both expressions inside the parenthesis, we get
13cos(343) + i(13)(sin343)
13(0.95) + i(13)(-0.29)
12.43 + (-3.8)i
Therefore, the standard form of the number is
12.43 - 3.8i
How much fencing is needed to enclose a circular pond with a diameter of 8.5 feet
Answer:
C = 8.5π or 26.7035
Step-by-step explanation:
Perimeter/circumference = 2πr, where r=radius
Diameter=2r
8.5/2 = 4.25
4.25 = r
C = 2π(4.25)
C = 8.5π or 26.7035
polynomials: adding and subtracting polynomials find each sum or differenceplease do minimum steps
It is a branch of mathematics concerned with analyzing the chance that particular event will occur. .
Given:
It is a branch of mathematics concerned with analyzing the chance that particular event will occu
Required:
Which branch
Explanation:
probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.
Help with this personal finance problem
Answer: Take home pay
75.49%
$1,283.39
Step-by-step explanation:
Gross pay
$1,700.00
ChevronIncome taxes
10.95%
$186.09
Federal Income Tax
12%
$123.27
Iowa State Tax
6.25%
$62.82
ChevronFICA taxes
7.16%
$121.72
Social Security
5.8%
$98.65
Medicare
1.36%
$23.07
ChevronPre-tax
6.4%
$108.80
Commuter Parking
6.4%
$108.80
Post-tax
0%
$0.00
Take home pay
75.49%
$1,283.39
