Answers
Answer:
Y=136
Step-by-step explanation:
Related Questions
Given: m || n, 21≈ 23
Prove: pllq
4
11
♦>
Complete the two-column proof.
11
3
4
11
9
2
m
1. m || n
2.
3. 41
4. 22
5. pll g
Statements
43
23
1. given
2. alternate interior Zs
theorem
3. given
4.
Reasons
5.
Answers
which of the following ordered pairs describes a point that is 8 units up from the x-axis? 1)(4,4) 2)(4,8) 3)(8,4)
Answers
Answer:
(8,4) 8 is on the x axis and 4 is on the y axis
A brown bear can run 44 meters in 4 seconds. At this rate, how far could a brown bear run in 20 seconds?
Answers
Answer:
220 meters
Step-by-step explanation:
20 seconds is 5 times larger than 4 seconds, so the distance it runs in 20 seconds should be 5 times longer than 44 meters
so:
20/4 = 5
since x is 5 times larger than 44, set up the equation
5 = x/44
multiply both sides by 44
x= 44 * 5 = 220 meters
Which set of ordered pairs represents a function?A.{(3, 1), (3, 2), (3, 3), (3, 4), (3, 5)}B.{(0, 5), (2, 5), (4, 5), (6, 5), (8, 5)}C.{(1, 4), (2, 4), (3, 4), (4, 3), (4, 2)}D.{(2, 3), (3, 4), (4, 3), (3, 2), (2, 1)}
Answers
Answer:
(0,5)(3,4)(4,5)(3,2)(4,3)(3,3)(2,3)
HLEPSHAMUWGDBANSGSHD
Answers
Check the picture below.
Find the range of the function f(x) = x² - 5x for the domain {2, 4, 7).
Range:
Answers
By evaluating the function f(x) = x² - 5 · x, the range of the function is {- 6, - 4, 14}.
How to determine the range of the function
In this problem we have a domain, that is, an input set, formed by three natural numbers and a quadratic equation that represents a function that allows us to find the corresponding elements of the range, that is, the output set. The elements of the range are found by evaluating the quadratic equation at each element from domain:
x = 2
f(2) = 2² - 5 · 2
f(2) = 4 - 10
f(2) = - 6
x = 4
f(4) = 4² - 5 · 4
f(4) = 16 - 20
f(4) = - 4
x = 7
f(7) = 7² - 5 · 7
f(7) = 49 - 35
f(7) = 14
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given that x=1+2i and y=1-2i calculate x+y x-y x•y and x/y
Answers
Answer:
1
Step-by-step explanation:
I like visiting other prisons people up when they are down in the class for lunch
9 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in minutes per customer?
Answers
Answer:
2 min
Step-by-step explanation:
18/
Find the value of x that makes lines u and v parallel.
3)
78
17x-5
U
21x-5 v
biped
Answers
Hello, the correct answer to your question should be 5.
As seen in the photo below, the sum of the given angle values must equal [tex]180^o[/tex].
[tex](17x-5)+(21x-5)=180[/tex]Therefore, when we add these two values, we get the number [tex]"38x-10"[/tex]. If we equalize this number to [tex]180^o[/tex], we find the value of our [tex]x[/tex] as [tex]5[/tex].
[tex]38x-5=180[/tex][tex]38x=190[/tex][tex]x=5[/tex]how to divide 306.67 and 254.00 i rlly need help i have a project due tmr.
Answers
The value of the quotient is 1.207
How to evaluate the quotient?The statement is given as
Divide 306.67 and 254.00
Rewrite the above statement properly
So, we have
Divide 306.67 by 254.00
Rewrite the above statement as a quotient expression
So, we have
306.67/254.00
Express 306.67 as 254.00 + 52.67
So, we have
306.67/254.00 = (254.00 + 52.67)/254.00
Evaluate the quotient of 254 and 254
So, we have
306.67/254.00 = 1 + 52.67/254.00
Evaluate the other quotient
So, we have
306.67/254.00 = 1 + 0.207
306.67/254.00 = 1.207
Hence, the value of the statement "divide 306.67 and 254.00" is 1.207
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The table below shows Karen’s distance during the marathon. Between which hours does Karen run fastest
Answers
NSWER :
he answer is between 6 and 9
EXPLANATION :
room the problem, we have a graph with distance vs time.
Note that the steeper the line in the graph, the faster the speed or rate.
Looking at the graph, the steepest part is when the time is between 6 and 9
Quinn is baking sweet potato pies. The table shows the ratio of cups of sugar to number of pies. Number of Pies 3 5 9 Cups of Sugar 1 and one half 2 and one half 4 and one half How many cups of sugar will Quinn need to make 16 pies? 8 cups 8 and one half cups 9 and one half cups 11 cups
Answers
The number of cups of sugar that is required to make 16 pies is equal to 8 cups.
What is a direct proportion?Mathematically, a direct proportion can be represented the following mathematical expression:
y = kx
Where:
x represents the number of pies.y represents the cups of sugar.k represents the constant of proportionality.Since the cups of sugar varies directly (direct proportion) with the number of pies, the cups of sugar and number of pies must remain in a constant ratio.
Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = (1 1/2)/3
Constant of proportionality (k) = 0.5 or 1/2
From the above mathematical expression for direct proportion, an equation which models the situation or relationship is:
y = kx
y = 0.5x
Now, we can determine the number of cups of sugar at x = 16:
y = 0.5 × 16
y = 8 cups of sugar.
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Simplify the expression (x12)3
Answers
Answer:
36x
Step-by-step explanation:
Simplify
36x
(0.020) (0.030) / (0.10)x = 2.3 × 10-4
Answers
The value of x in the equation is 26. 087
What are algebraic expressions?Algebraic expressions are defined as expressions made up of terms, constants, coefficients, factors and variables.
They may also include certain mathematical or arithmetic operations which includes;
BracketDivisionAdditionSubtractionParenthesesMultiplication and so onGiven the equation;
(0.020) (0.030) / (0.10)x = 2.3 × 10-4
We can simply the equation following the steps;
expand the brackets, we have;
6× 10^-4/ 0.10x = 2.3 × 10^-4
Now, cross multiply
0.10x × 2.3 × 10^-4 = 6× 10^-4
Divide both sides by 2.3 × 10^-4
0. 10x = 6× 10^-4/2.3 × 10^-4
Find the quotient
0. 10x = 2. 608
Let's make the variable 'x' by dividing both sides by it's coefficient
0. 10x/0.10 = 2. 608/0. 10
x = 26. 087
Hence, the value is 26. 087
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Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. N=4; i and 4i are zeros; f(-1)=102
Answers
Answer:
[tex]f(x)=3x^4+51x^2+48[/tex]
Step-by-step explanation:
As n = 4, the degree of the polynomial is 4.
Therefore, the function cannot have more than 4 distinct roots.
[tex]\implies f(x)=a(x-p)(x-q)(x-r)(x-s)[/tex]
If a complex number z is a root of f(z) = 0 then its complex conjugate is also a root. Therefore:
If i is a root, then -i is also root.If 4i is a root, then -4i is also root.[tex]\implies f(x)=a(x-i)(x+i)(x-4i)(x+4i)[/tex]
[tex]\implies f(x)=a(x^2-i^2)(x^2-16i^2)[/tex]
[tex]\implies f(x)=a(x^2-(-1))(x^2-16(-1))[/tex]
[tex]\implies f(x)=a(x^2+1)(x^2+16)[/tex]
Given f(-1) = 102, then:
[tex]\begin{aligned}\implies f(-1)=a((-1)^2+1)((-1)^2+16)&=102\\a(1+1)(1+16)&=102\\a(2)(17)&=102\\34a&=102\\a&=3\end{aligned}[/tex]
Therefore:
[tex]\implies f(x)=3(x^2+1)(x^2+16)[/tex]
[tex]\implies f(x)=3(x^4+17x^2+16)[/tex]
[tex]\implies f(x)=3x^4+51x^2+48[/tex]
Company A charges $25 per day plus $0.25 per mile driven to rent a car. Company B
charges $35 per day plus $0.15 per mile driven to rent a car. How many miles must be
driven for a two-day rental from Company B to be less than a two-day rental from
Company A?
Answers
The number of miles that must be driven for the two-day rental from Company B to be less than Company A is 200 miles.
What is the number of miles?The equation that can be used to determine the total cost of renting from Company A is:
Total cost = (cost per day x number of days) + (cost per mile x number of miles)
($25 x 2) + ($0.25 x m)
$50 + $0.25m
The equation that can be used to determine the total cost of renting from Company B is: ($35 x 2) + ($0.15 x m)
$70 + $0.15m
The equation that can be used to determine the number of miles where it would be cheaper to rent for two days from Company B is:
$70 + $0.15m < $50 + $0.25m
$70 - $50 < $0.25m - $0.15m
$20 < $0.10m
m < $20 / 0.10
m < 200
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Show that z=1±i satisfies the equation z²-2z+2=0
Answers
We can show z = 1 ± i satisfies the equation [tex]z^2-2z+2=0[/tex] by putting the values of z in the given equation.
z = 1 ± i
Equation:
[tex]z^2-2z+2=0[/tex]
We have to show that z satisfies the given equation.
Complex numbers
A complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation [tex]i^2 = -1[/tex]; every complex number can be expressed in the form a + bi, where a and b are real numbers.
Putting z = 1 + i in the given equation, we get
[tex](1+i)^2-2(1+i)+2 = 1 + i^2+2i -2-2i+2[/tex]
= (1 - 1 -2 +2) + (2i - 2i)
= 0 + 0 = 0
Putting z = 1 - i in the given equation, we get
[tex](1-i)^2-2(1-i)+2 = 1 + i^2-2i -2+2i+2[/tex]
= ( 1 - 1 - 2 + 2) + (-2i+2i)
= 0 + 0 = 0
As we can see that putting z = 1 ± i in the given equation, we get 0, hence, we have shown that z satisfies the given equation.
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A woman has a total of $10,000 to invest. She invests part of the money in an account that pays 7 % per year
and the rest in an account that pays 12 % per year. If the interest earned in the first year is $900, how much did
she invest in each account?
Answers
A woman has a total of $10,000 to invest and she invests part of the money in an account that pays 7 % per year, then she invested $4000 per year.
Simple Interest: What Is It?Simple interest can be said as a quick and simple formula for figuring out how much amount of interest will be charged on a loan. The daily interest rate, the principle, and the total number of days present between payments are multiplied to calculate the simple interest.
FormulationA = P (1 + rt)
FINAL AMOUNT = A
P is the starting primary balance.
Annual interest rate is r.
T = time (in years)
According to question,
7/100(x) + 12/100 (10000 -x) = 5900
7x + 120000 - 12x = 90000
30000 = 5x
x = $ 6000
P = 10000 - 600
= $ 4000
What does “simple interest” mean?Simple interest is a kind of method for figuring out how much interest was paid on a sum of money during a specific time period at a specific rate. Simple interest has a constant principal amount. Simple interest is an absolutely clear-cut and simple method in order to compute financial interest.
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One hundred grams of honey contains about 0.3 grams of protein. How many milligrams is 0.3 grams of protein?
Answers
300 milligrams is 0.3 grams of protein.
What is conversion?A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet.
To convert a value or expression between two different forms. • Measurement: converting between different units, for as from inches to millimeters or liters to gallons. For instance, change 12 inches to millimeters. 304.8 millimeters are equal to 12 inches multiplied by the inch-to-millimeter ratio of 25.4.
Given Data
100 grams of honey contains about 0.3 grams of protein.
1 gram = 1000 milligrams
To find milligrams in protein:
0.3 grams multiplied by 1000
0.3(1000)
300
300 milligrams is 0.3 grams of protein.
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A 4,800-pound wrecking ball is held in static equilibrium by two cables, one horizontal and one at an angle of 40° from vertical (see the figure below). Find the magnitudes of the tension vectors T and H. (Round your answers to the nearest whole number.)
Answers
IfIf a 4,800-pound wrecking ball is held in static equilibrium by two cables, one horizontal and one at an angle of 40° from vertical .the magnitudes of the tension vectors T and H is: 6,266.32 lb, 3,085.44lb.
Magnitudes of the tension vectors T and HLet T h = H represent the horizontal
Let Tv represent the vertical components of the vector T
Let W wball represent the weight of the wrecking ball
Hence,
T h =H
Tv = W wball
Where:
T h = T sin 40°
Tv =T cos 40°
Magnitude of the tension vector T:
Tv =4800lb
T=Tv/ cos 40°
T = 4800lb/ cos 40°
T = 4800lb/0.766
T= 6,266.318
T=6,266.32 lb (Approximately)
Magnitude of the tension vector H
W=T h
T h =(4800lb) sin 40°
T h =(4800lb) 0.6428
H = 3,085.44lb
Therefore we can conclude that tension vector T magnitudes is 6,266.32lb and that of tension vector H magnitudes is 3,085.44lb.
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a. List the first six terms of the arithmetic sequence and identify the common
difference.
a₁ = 7
an = an-1 + 4
b. Find a15-
c. Find the sum of the first 15 terms in the sequence.
Answers
Answer:
a1=7
an=an-1+4
a2=a2-1+4
a2=a1+4
a2=7+4
a2=11
a3=a3-1+4
a3=a2=+4
a3=11+4
a3=15
a4=a4-1+4
a4=a3+4
a4=19
a5=23
a6=27
a15=62
The common difference is 4.
The sum is 517.
10x² - (9x + 4x²) + 7 + (5x - 8)
Answers
When working with unknowable numbers, we can simplify equations by using the distributive property. If the equation be 10x² - (9x + 4x²) + 7 + (5x - 8) then we get 6x² - 4x - 1.
What is meant by distributive law?The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.
Let the equation be 10x² - (9x + 4x²) + 7 + (5x - 8)
Apply rule: a +(b + c) = a + b + c
7 + (5x - 8) = 7 + 5x - 8
= 10 x²- (9 x + 4 x²) + 7 + 5x - 8
simplifying the above equation, we get
= -(9x + 4x²) + 10x² + 5x + 7 - 8
Subtract the numbers: 7 - 8 = -1
= -(9x + 4x²) + 10x² + 5x - 1
Apply the distributive law: -(a + b) = -a - b = 0
-(9x + 4x²) = - 9x - 4x²
= -9x - 4x² + 10x² + 5x - 1
Add similar elements:
-4x² + 10x² = 6x² = -9x + 6x² + 5x - 1
simplifying the above equation, we get
= 6x² - 9x + 5x - 1
Add similar elements: -9x + 5x = -4x
= 6x² - 4x - 1
Therefore, by simplifying the equation, we get 6x² - 4x - 1.
The complete question is:
Simplify 10x² - (9x + 4x²) + 7 + (5x - 8)
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(NEED HELP ASAP)
The table shows the air pressure in pounds per square inch at different altitudes in thousand feet
Altitude (thousand feet)
5 10 15 20 25 30 35 40 45
Air pressure (pounds per square inch) 12.4 10.2 7 62 52 42 34 26 20
Which scatter plot best represents the data in the table?
Answers
A scatter plot which best represents the data in the table is scatter plot B.
What is a scatter plot?A scatter plot is also referred to as scatter chart, scatter diagram or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.
In this scenario, the altitude (thousand feet) would be plotted on the x-axis of the scatter plot while the air pressure (pounds per square inch) would be plotted y-axis of the scatter plot as depicted in the image attached below.
In conclusion, we can reasonably infer and logically deduce that scatter plot B best represents the data in the table.
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Mia borrowed $800 from her brother to start a small business. She applies to sell her products at a vendor fair. The vendor fair requires all businesses to pay a $50 entry fee, plus 10% of their sales.
If Mia sells $1,050 worth of products at the fair, how much money will she earn in total, after paying the vendor fees and repaying her brother's loan?
Answers
The money that she earns in total, after paying the vendor fees and repaying her brother's loan is $95.
How to calculate the value?From the information, Mia borrowed $800 from her brother to start a small business and she then applies to sell her products at a vendor fair.
Also, it should be noted that the vendor fair requires all businesses to pay a $50 entry fee, plus 10% of their sales.
The amount that she will earn after selling $1050. worth of product will be;
= $1050 - Amount borrowed - Entry fee - Percentage on sales
= $1050 - ($800) - $50 - (10% × $1050)
= $1050 - $800 - $50 - $105
= $95
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Solve the equation for D.
A= Bc-7D
Answers
please answer the two boxes:
find the equation of line line form y=mx+c
Answers
The equation of the line in the form y = mx + b are as follows:
y = -2x + 9y = 2x - 3How to find the equation of a line?The equation of a line can be found as follows:
Using the slope intercept form,
y = mx + b
where
m = slopeb = y-interceptTherefore, let's find the slope using the table.
(-4, 13)(-3, 11)
m = 11 - 13 / -3 + 4
m = - 2 / 1
m = -2
Let's find the y-intercept using (-4, 13)
13 = -2(-2) + b
13 - 4 = b
b = 9
Therefore, the equation of the line is y = -2x + 9
Using the second table,
(0, -3)(2, 1)
m = 1 + 3 / 2 - 0
m = 4 / 2
m = 2
y-intercept = b = -3
Therefore,
the equation of the line is y = 2x - 3
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Rafael rented a truck for one day. There was a base fee of 15.95, and there was an additional charge of 74 cents for each mile driven. Rafael had to pay 220.19 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer: He drove 276b miles with the truck
Step-by-step explanation: 220.19 - 15.95 = 204.24
204.24 / .74 = 276
Step by step
We can use the y intercept formula for this
y = mx + b
We know y = $220.19
We know m = .74 (per mile)
We know b = $15.95 (base fee)
220.19 = .74x + 15.95
Solve
Subtract 15.95 from both sides to isolate variable
220.19 - 15.95 = .74x + 15.95 - 15.95
$204.24 = .74x
276 = x miles driven
what is the median
72 73 75 76 76 79 83 85
can yall help
Answers
Answer:76
Step-by-step explanation:
the median is the middle number but since there was an even amount of numbers, I chose the middle 2 numbers. Since they were the same number they stay as 1 number making the answer 76.
In a toy store the ratio of the number of dolls to the number of teddy bears is 6:5 if the store has 240 dolls how many teddy bears are in the store
Answers
About 200 teddy bears in the store.
Given,
The ratio of the number of dolls to the number of teddy bears is 6:5
and, The store has 240 dolls.
To find the number of teddy bears are in the store.
Now, According to the question:
Total no. of dolls are 240
The ratio of dolls and teddy bears are 6:5
Then, For dolls
= 240/6 = 40dolls
So, Teddy Bears = 40 × 5 = 200
Hence, About 200 teddy bears in the store.
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A basket ball player average 13.5 points per game find the value of x the number of points scored in 7 games
Answers
Answer:
x= 13.5(7)
x=94.5
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