Answer:
X+2Y=7 and 4X+8Y=19
Step-by-step explanation:
Step 1: Write the equations in the form y=mx+c, where m represents the gradient.
In this case, gradient is equal to -0.5
Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5
You can make endless equations
An angle is bisected by a segment forming two new angles find m
Answer:
60
Step-by-step explanation:
Note that angle ZXY is the bisected angle which was split into angle 1 and 2
Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )
If angle 2 = 30 then angle 1 also = 30
Like stated multiple times angle ZXY is made up of angle 1 and 2
Hence, Angle ZXY = Angle 1 + Angle 2
Angle ZXY = 30 + 30 = 60
What is the 8th term in the geometric sequence described by this explicit
formula?
an=6x3(n-1)
Answer:
13122
Step-by-step explanation:
an = 6 x 3^(n - 1)
n = 8
a8 = 6 x 3^(8 - 1) = 6 x 3^7 = 6 x 2187 = 13122
The above person is Correct, they deserve more Rating
--to brainly staff* If you delete this answer, something is wrong with this world, im trying to help the people who are unsure about the above answer having a low rating, to tell them that it is the correct answer. Thank you
Suppose a city with a population of 700,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 25 years. The population in 25 years will be approximately...?
Answer:
approximately 1,925,000
Step-by-step explanation:
700,000 * 0.07 = 49,000 this would be the growing rate per year.
49,000 * 1,225,000 this would be the population grown in 25 years.
700,000 + 1,225,000 = 1,925000 this would be the total population that was in the city and the population that has grown in the 25 years.
Hope this helps
The number of students using a cell phone application doubles every seven days. The initial number of users is 100. Write an equation for f(t) which represents the number of students who are using the application after t days
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Initial number of users
[tex]N_0=100[/tex] [tex]\text{growth rate=doubles every seven days}[/tex]
[tex]100\% \longrightarrow 7\ days\\\\\frac{100}{100} \longrightarrow 7\ days\\\\1 \longrightarrow 7\ days\\\\[/tex]
When:
[tex]N=N_0\ 2^{rt}\\\\[/tex]
[tex]=100\times 2^{rt}\\\\=100\times 2^{t\cdot \frac{1}{7}}\\\\=100\times 2^{ \frac{t}{7}}\\\\[/tex]
Checking the value:
After 14 days:
[tex]N=100\times 2^{ \frac{14}{7}}=400\\\\100 \overset{100\ days}{\rightarrow} 200 \overset{7 \ days}{\rightarrow}\ 400[/tex]
Question 2: *
What is an equation of a line that is perpendicular to the line whose
equation is 2y + 3x = 1?
Answer:
[tex]y = \frac{2}{3} x[/tex]
Step-by-step explanation:
Hope it is helpful...
Steel chain costs $8.20 per metre. How much does it cost to buy 50mm of chain?
Answer:
[tex]\$0.41[/tex]
Step-by-step explanation:
Convert millimeters to meters:
[tex]50\:\mathrm{mm}=0.05\:\mathrm{m}[/tex]
At a price of $8.20 per meter, the total price would be [tex]$8.20\cdot 0.05=\boxed{\$0.41}[/tex]
Help asap please im failing
Step-by-step explanation:
Convert each fraction by setting up proportion out of 100.
[tex] \frac{60}{90} = \frac{?}{100} [/tex]
[tex] \frac{78}{150} = \frac{?}{100} [/tex]
[tex] \frac{75}{120} = \frac{x}{100} [/tex]
Cross multiply each fraction. let x represent the missing number.
[tex]6000 = 90x[/tex]
[tex]7800 = 150x[/tex]
[tex]7500 = 120x[/tex]
Solve for x
For the first equation.
[tex]x = 66.66666[/tex]
For the second equation
[tex]x = 52[/tex]
For the third equation,
[tex]x = 62.5[/tex]
Round each missing value to the nearest whole value and add the % sign.
60/90=67%
78/150=52%
75/120=63%
He scored the highest on his English test.
PLEASE HELP: Evaluate tan^2θ for θ = 60°
1/3
3/4
1
3
Answer:
3
Step-by-step explanation:
tan 60 = root(3)
tan² 60 = {root (3)}²
tan² 60 = 3
Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .
Given:
The sequence is:
[tex]-3,5,13,21...[/tex]
To find:
The explicit formula for the given sequence then find the 47th term.
Solution:
We have,
[tex]-3,5,13,21...[/tex]
The difference between two consecutive terms are:
[tex]5-(-3)=8[/tex]
[tex]13-5=8[/tex]
[tex]21-13=8[/tex]
The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.
The explicit formula for an arithmetic sequence is:
[tex]a_n=a+(n-1)d[/tex]
Where, a is the first term and d is the common difference.
Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get
[tex]a_n=-3+(n-1)8[/tex]
[tex]a_n=-3+8n-8[/tex]
[tex]a_n=8n-11[/tex]
Putting [tex]n=47[/tex], we get
[tex]a_{47}=8(47)-11[/tex]
[tex]a_{47}=376-11[/tex]
[tex]a_{47}=365[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.
SOMEBODY PLEASE HELPPP ME!!!!
Answer:
15.6
Step-by-step explanation:
We see a dilation. So the ratio between UT and XW is 2:7.8. That is 1:3.9. If we put 4 in the 1 place, then we get 15.6
Please give brainliest
Hope this helped
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = -x2 + 72x – 458
Answer:
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
Step-by-step explanation:
The amount of profit y made by the company from selling each widget at x price is modeled by the equation:
[tex]y=-x^2+72x-458[/tex]
Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:
[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
12
If m ABC = 122°, and mZABD = 71°,
then mZDBC = [ ? 1°
Enter
Answer:
[tex]122 - 71 = 51 \\ m < 51[/tex]
Answer:
DBC= 40˚
Step-by-step explanation:
Since we already know what ABC and ABD is we could use these information to get what DBC is.
Since ABD and DBC adds together to sum up to ABC we could use this info to create this equation:
ABD+DBC=ABC
Replace ABD and ABC with the number that it is equal to
71˚+DBC=112˚
Move 71˚ to the other side by subtracting
DBC=112˚-72˚
Which is 40˚
So the answer is 40˚
Hope this helped!
pls help me on this i don't know what to do
Answer:
D.
Step-by-step explanation:
Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]
Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]
Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]
p,q are x-intercepts
x-intercepts given in graph: -2,4
[tex]y=a[x-(-2)](x-4)[/tex]
eqn 1: [tex]y=a(x+2)(x-4)[/tex]
Plug in the given point to find 'a' : (3,-5)
[tex]-5=a(3+2)(3-4)[/tex]
[tex]-5=a(5)(-1)[/tex]
[tex]1=a[/tex]
Substitute 'a' in to eqn 1.
[tex]y=1(x+2)(x-4)[/tex]
eqn 2: [tex]y=(x+2)(x-4)[/tex]
Expand eqn 2. (can use FOIL)
[tex]y=x^2-2x-8[/tex]
12. The local regional transit authority of a large city was interested in determining the mean
commuting time for workers who drive to work. They selected a random sample of 125
workers who drive to work and asked them how long they spent commuting to work in
minutes). A 95% confidence interval was constructed and reported as (27.74, 30.06).
(a) Show that the conditions for calculating a confidence interval for a mean are satisfied.
(b) Interpret the interval in the context of this problem.
1. We conclude that the conditions for calculating a confidence interval for a mean are satisfied.
2. Since interval was constructed and is reported, we assume that distribution of the sample mean is normal.
Do the conditions for a mean confidence interval calculation hold?Let x be the sample mean
Let s be the sample standard deviation
Let n be the sample size
Let α be the significance level
Let Z be the standard normal distribution value.
To determine if conditions for calculating confidence interval for a mean are met, we have to check the followings:
1. Random sampling:
The sample of 125 workers was selected randomly.
2. Independence:
We assume that each worker's commuting time is independent of each other.
3. Sample size:
n = 125 > 30. This satisfies the condition for the central limit theorem to apply.
4. Normality:
The 95% confidence interval was constructed using the formula x ± Zα/2(s/√n).
Since interval was constructed and is reported, we can assume that the distribution of the sample mean is approximately normal. Therefore, we can conclude that the conditions for calculating a confidence interval for a mean are satisfied.
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The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie
Answer: a. 13120
b. 4100
c. 1025
d. 3280
Step-by-step explanation:
(a) find the costs price of the fridge
Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:
= (100% - 20%) × 16400
= 80% × 16400
= 0.8 × 16400
= 13120
(b) calculate the deposit
Since 25% is paid as deposit, the deposit will be:
= 25% × 16400
= 0.25 × 16400
= 4100
(c) what is the monthly installments
Monthly installments will be:
= (16400 - 4100)/12
= 12300/12
= 1025
(d) what is the differences between the cash price and the hire purchase price.
This will be:
Hire purchase price = 16400
Cash price = 13120
= 16400 - 13120
= 3280
The following table shows the salary of 7 people in an office last year.
Name Income
Andy £13500
Bevan £27500
Cheryl £13750
Deva £79000
Elliott £18750
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
Mean of worker's salary = £27,785.71 (Approx.)Mean of worker's salary[Excluding Deva's income] = £16,500 (Approx.)Step-by-step explanation:
Given:
Total number of worker = 7
Find;
1] Mean of worker's salary
2] Mean of worker's salary[Excluding Deva's income]
Computation:
Mean = Sum of all observation / Total number of observation
1] Mean of worker's salary = [13,500 + 27,500 + 13,750 + 79,000 + 18,750 + 27,500 + 15,000] / 7
Mean of worker's salary = [194,500] / 7
Mean of worker's salary = £27,785.71 (Approx.)
2] Mean of worker's salary[Excluding Deva's income] = [13,500 + 27,500 + 13,750 + 18,750 + 27,500 + 15,000] / 6
Mean of worker's salary[Excluding Deva's income] = [115,500]/7
Mean of worker's salary[Excluding Deva's income] = £16,500 (Approx.)
Jorden has already saced 35$. He wants to have 80$. He earns $6 per hour doing yard work which function will help jorden gigure out how many more hours [h] he needs to work
Answer:
Number of hours= 7.5
Step-by-step explanation:
Giving the following information:
Amount saved= $35
Hourly rate= $6
Total objective= $80
To calculate the number of hours to be saved, we need to use the following formula:
Number of hours= difference needed / hourly rate
Number of hours= (80 - 35) / 6
Number of hours= 45/6
Number of hours= 7.5
What value of n makes the equation true?
Answer:
10
Step-by-step explanation:
When multiplying numbers of the same base the exponents are added
therefor
n + 10 = 20
n = 10
Answer:
10
Step-by-step explanation:
y^n × y^10 = y^20
y^(n+10) = y^20
n+10 = 20
n = 20-10
n = 10
Please help me with these questions
Answer:
A. <EKH and <EKF
B. <EKH and <FKG
C. <HKJ and <GKJ
Step-by-step explanation:
A. A linear pair are two adjacent angles that forms a straight line that equals 180°.
<EKH and <EKF is a linear pair
B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.
<EKH and <FKG
C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.
<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.
19.
Which of the following equations has a graph that crosses the y-axis at a point lower than the graph of y= -2x2 - 1?
A. y= 3x2 - 3
B. y= -3x2 + 3
C. y= -3x2 + 1
D. y= -3x2 - 1
Answer:
B. y= -3x2 + 3
Step-by-step explanation:
y= -3^2+3
The given equations has a graph that crosses the y-axis at a point lower than the graph is option (C) is correct.
To find the equation/
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.
Given that:
By definition, the graph of Quadratic function is a parabola.
The Standard form of a Quadratic function is the following:
[tex]f(x)=ax^{2} +bx+c[/tex]
Where "a", "b" and "c" are real numbers (a≠0)
It is important to remember that if the value of the leading coefficient "a" is larger, then the parabola will be narrower.
So, given the following Quadratic equation:
[tex]y=-2x^{2} -1[/tex]
You can identify that:
IaI=2
Therefore, the equation that has a graph that crosses the y-axis at a point lower than the graph, must have a leading coefficient larger than 2.
[tex]y=-3x^{2} +1[/tex]
Where:
IaI=3
Notice that:
3>2
Learn more about quadratic equation here:
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. Which of these could be the side lengths of a right triangle? Highlight all possible answers. A. 4-7-10 B. 36-48-60 C. 6-10-14 D. 14-48-50
Answer:
B. ) 36-48-60
Step-by-step explanation:
From Pythagoras theorem, we can determine the sides of the triangle by testing the options
a^2 + b^2 = c^2
Then test the options
B. ) 36-48-60
36^2 + 48^2 = 60^2
3600 + 2304 = 3600
3600= 3600
Since both sides have equal values, then OPTIONS B express a correct sides of the triangle
C.) 6-10-14
6^2 + 10^2 = 14^2
36+ 100= 196
136= 196( it doesn't make an equality then it's not the answer
I will give u brainliest and 5 star and thanks if its correct
Answer:
is B and E. They both equal 81
LMNO is a parallelogram. If sides NM=2x+5, OL=x+10,and NO=7x-3. Find the value of X and then find the length of NM and NO
You want all of the answers or just one?
Answer:
Step-by-step explanation:
opposite sides of a parallelogram are equal . So,
NM = OL
2x + 5 = x + 10
2x - x = 10 - 5
x = 5
substitute the value of x
NM = 2x + 5
=2*5 + 5
=15
for NO also substitute 5 inplace of x
What is the sum of 4.2 × 10^5 and 5.3 × 10^5
Answer:
4.2 x 10^5 = 420,000
5.3 x 10^5 = 530.000
Step-by-step explanation:
Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6 A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.
High school geometry
Answer:
It would be 12. Do you need me to explain or are you good?
Step-by-step explanation:
Answer:
6√2
Step-by-step explanation:
WILL
GIVE BRAINLIST
SOLVE
SIX TIMES A NUMBER ADDED TO 8 IS 32 find the number
Answer:
6*4+8=32
Step-by-step explanation:
32-8=24
24/6=4
so 6*4=24
24+8=32
6x+8=32
6x+8-8=32-8
6x=24
6x÷6=24÷6
X=4
Answer is 4
Might be a bit confusing but hope that helps :)
15 feet tree cast a shadow that is 15 feet long. What is the distance from the top of the tree to the tip of its shadow?
Answer: Hi. The height of the tree is 27 ft
Step-by-step explanation:
Answer link- https://socratic.org/answers/601885
A company that makes hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 28 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer: 0.4%
Step-by-step explanation:
First, a porportion needs to be set up.
part/whole = percent/100
28/7,000 = x/100
Second, cross multiply.
2800=7,000x
x=0.4
Find each product
1. (3x)(x^2y^3)
2. (5a^3b)(2ab)
1.[tex](3x)( {x}^{2} {y}^{3} )[/tex]
= [tex]3 {x}^{3} {y}^{3} [/tex]
2.[tex](5 {a}^{3} b)(2ab)[/tex]
=[tex]10 {a}^{4} {b}^{2} [/tex]