Answer:
A) 38,000
B) 28.6%
Step-by-step explanation:
Solve for xx. Round to the nearest tenth, if necessary.
sin U= |TS| / |US|
-> |US| = |TS| / sinU
-> x= 0.6 / sin 37°
-> x≈1,0
5510 ÷ 27 with remainder
Answer:
204, there is no remainder.
Step-by-step explanation:
Answer: 204 Rem 2
Step-by-step explanation: Use long division
which statement is true about credit cards?
Answer:
it doesnt say any statement at all can you add them
Eric and James are looking at this number sequence: 4, 8, 20, 56, 164. What must they do to find the term-to-term rule?
Answer:
[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]
[tex]\textsf{where}\quad f(1)=4[/tex]
Step-by-step explanation:
Given sequence: 4, 8, 20, 56, 164
First, work out the difference in the terms:
[tex]4 \underset{+4}{\longrightarrow} 8 \underset{+12}{\longrightarrow} 20 \underset{+36}{\longrightarrow} 56 \underset{+108}{\longrightarrow} 164[/tex]
As the first differences are not the same, work out the second differences:
[tex]4 \underset{\times 3}{\longrightarrow} 12 \underset{\times 3}{\longrightarrow} 36 \underset{\times 3}{\longrightarrow} 108[/tex]
Therefore, the term-to-term rule is:
[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]
[tex]\textsf{where}\quad f(1)=4[/tex]
[tex]f(2)=f(1) + 4(3)^{2-2}=4+ 4(3)^{0}=4+4=8[/tex]
[tex]f(3)=f(2)+4(3)^{3-2}=8+4(3)^1=8+12=20[/tex]
[tex]f(4)=f(3) + 4(3)^{4-2}=20+4(3)^2=20+36=56[/tex]
[tex]f(5)=f(4) + 4(3)^{5-2}=56+4(3)^3=56+108=164[/tex]
Will mark brainly!!! Please help me with this. Thank you! :)
Can you please explain how you get the answer. I really appreciate it!!!
The owner of a video game store creates the expression −2x2 28x 20 to represent the store's weekly profit in dollars, where x represents the price of a new video game. choose the equivalent expression that reveals the video game price that produces the highest weekly profit, and use it to determine that price. −2(x − 7)2 118; x = $7 −2(x − 7)2 118; x = $118 −2(x2 − 14x) 20; x = $14 −2(x2 − 14x − 10); x = $10
The given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex]price is $7 option first is correct.
What is a quadratic expression?A quadratic expression is a second-degree algebraic expression represented by the:
[tex]\rm ax^2+bx+c=0[/tex] ........(1)
Where a, b, and c are the constants and
We have a quadratic expression:
[tex]\rm f(x)=-2x^2+28x+20[/tex]
Convert it to perfect square by perfect square trinomial:
[tex]\rm f(x)=-2(x^2+14x)+20[/tex]
[tex]\rm f(x)=-2(x^2+14x+49-49)+20[/tex] (adding and subtracting by 49)
[tex]\rm f(x)=-2(x-7)^2+2(49)+20[/tex]
[tex]\rm f(x)=-2(x-7)^2+118[/tex]
Here [tex]\rm (x-7)^2[/tex] is the positive term and -2 is the negative term so in order to get the highest weekly profit it should be zero, so
[tex]\rm -2(x-7)^2=0[/tex]
x = $7
Thus, the given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex] and the price is $7.
Learn more about quadratic expression here:
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Answer:
First option A. −2(x − 7)^2 + 118; x = $7
Step-by-step explanation:
Took the test and it's correct, trust me :)
Pls help pls pls ple
Answer:
10.5 ft
Step-by-step explanation:
This problem is using scaling.
Basically:
2.5(RV) = WZ
Meaning our scale factor is 2.5.
Multiply 4.2 * 2.5
Your answer is 10.5 ft.
This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.
xxx yyy
-94−94minus, 94 242424
-74−74minus, 74 181818
-54−54minus, 54 121212
What is the xxx-intercept of the line?
((left parenthesis
,,comma
))
From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, when x increases by 20, y decays by 6, hence the slope is given by:
[tex]m = -\frac{6}{20} = -0.3[/tex]
Then:
y = -0.3x + b.
When x = -54, y = 12, hence:
y = -0.3x + b
12 = -0.3(-54) + b.
b = -4.2.
Thus, the equation is:
y = -0.3x - 4.2.
The x-intercept is the value of x when y = 0, hence:
-0.3x - 4.2 = 0.
x = -4.2/0.3
x = -14
More can be learned about linear functions at https://brainly.com/question/24808124
Answer:
Step-by-step explanation:
rate plsss
What is the answer to -50 +x<-35
Answer:
x < 15
Step-by-step explanation:
1) Regroup terms.
⇒ x - 50 < - 35
2) Add 50 to both sides.
x < - 35 + 50
3) Simplify - 35 + 50 to 15.
x < 15
Answer:
x < 15
Step-by-step explanation:
-50 + x < -35
+50 +50
________________
x < 15
Hope this helps :)
Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simplified form?
Question 1 options:
an=29,500(n)+500
an=500(n)+29,999
an=500(n)+29,500
an=500(n)+30,000
Mr. Red's salary is an illustration of an arithmetic sequence
The explicit rule of Mr. Red's salary is an = 500n + 29500
How to determine the explicit formula?Mr. Red's salary is an arithmetic sequence with the following parameters:
First term, a1 = 30000
Common difference, d = 500
The explicit rule is calculated as:
an = a1 + (n - 1) * d
This gives
an = 30000 + (n - 1) * 500
Evaluate the product
an = 30000 - 500 + 500n
This gives
an = 29500 + 500n
Rewrite as:
an = 500n + 29500
Hence, the explicit rule of Mr. Red's salary is an = 500n + 29500
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
Use the properties of logarithms to write the logarithm in terms of
log5(2) and log5(3).
log5(12)
[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_5(12)\implies \log_5(4\cdot 3)\implies \log_5(2^2\cdot 3) \\\\\\ \log_5(2^2)~~ + ~~\log_5(3)\implies 2\log_5(2)~~ + ~~\log_5(3)[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPP ASAP
Answer:
The answers are D and then B.
Step-by-step explanation:
The first question asks which team has the youngest members on average. This is easily answered because the "mean" is simply the average of all the ages. Therefore the youngest "mean" age will also have the youngest members on average.
The second question asks what team has the most variability in ages. Range is the difference between the highest and lowest number. Therefore the team with the highest range should, logically, also have the most variability.
1. The sample mean weight of 100 chimpanzees was measured to be 82.4 pounds, with a standard deviation of 12.6 pounds. Using a 1% level of significance, what could we claim about the population mean weight for all chimpanzees so that it will fail to be rejected?
Using the t-distribution, as we have the standard deviation for the sample, we could claim that the mean weight in pounds is in the interval (79.1, 85.7).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 100 - 1 = 99 df, is t = 2.6259.
The other parameters have values given by:
[tex]\overline{x} = 82.4, s = 12.6, n = 100[/tex].
We could claim that the mean is any value in the 99% confidence interval, which has bounds given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 - 2.6259\frac{12.6}{\sqrt{100}} = 79.1[/tex]
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 + 2.6259\frac{12.6}{\sqrt{100}} = 85.7[/tex]
More can be learned about the t-distribution at https://brainly.com/question/16162795
If the given is DEFG is a kite how do I prove that triangle EFH is congruent to triangle GFH
Answer:
They both have H hoel
Step-by-step explanation:
\
Solve for x and round to the nearest tenth for both (please:) )
Answer:
see explanation
Step-by-step explanation:
using the sine ratio in the right triangle.
sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex] ( multiply both sides by 7 )
7 × sin23° = x , then
x ≈ 2.7 ( to the nearest tenth )
----------------------------------------------------
using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{27}{17}[/tex] , then
x = [tex]tan^{-1}[/tex] ( [tex]\frac{27}{17}[/tex] ) ≈ 57.8° ( to the nearest tenth )
Pls helpppppppppppppppppppppp
Answer:
Both of them are correct because if we simply the fraction of Edwin we will get the fraction of Tony
[tex] \frac{3}{6} [/tex]
[tex] = \frac{1}{2} [/tex]
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Hakeem has a points card for a movie theater. he receives 45 rewards points just for signing up. he earns 11. 5 points for each visit to the movie theater. he needs 206 points for a free movie ticket. how many visits must hakeem make to earn a free movie ticket?
Answer:
14visists
Step-by-step explanation:
206 points= 45points + 11.5points(number of visits)
let number of visits=x
206points-45points=11.5x
161=11.5x
x=161/11.5
x=14 visits
Yo I need to bring up my math grade bad so
y>-x+1
(please show it graphed already :D)
Answer:
Step-by-step explanation:
The pilot of a small plane is flying at an altitude of 2000 ft- The pilor plans to start the final descent toward a runway when the horizontal distance between the plane and the runway is ? mi. To the nearest degree what will be the angle of depression 19 from the plane to the runw'y at this point?
Using the slope concept, supposing the horizontal distance is of 1500 feet, the angle of depression will be of 37º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we suppose an horizontal distance of 1500 feet, with a vertical distance of 2000 feet, hence:
[tex]\tan{\alpha} = \frac{1500}{2000}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{1500}{2000}\right)}[/tex]
[tex]\alpha = 37^\circ[/tex]
The angle of depression will be of 37º.
More can be learned about the slope concept at https://brainly.com/question/18090623
Pls help I’m really confused
I'll do problem 9 to get you started.
Refer to figure 1 shown below. I've highlighted triangle AOB in red. This is an isosceles triangle with AO = OB as the congruent sides. These sides are congruent because they are radii of the same circle. Consequently, it means that the base angles opposite those sides are congruent.
I'll let x be the base angles. I'll let the remaining interior angle be y. Furthermore, z is adjacent to angle y.
For triangle AOB, and any triangle really, the interior angles add to 180 degrees.
A+O+B = 180
x+y+x = 180
2x+y = 180
y = 180-2x
Then we can say
(angle AOB) + (angle AOP) = 180
y + z = 180
180-2x + z = 180
z = 180+2x - 180
z = 2x
The punchline here is that angle ABP doubles to angle AOP.
angle AOP = 2*(angle ABP)
You'll repeat these same type of steps for triangle BOC in figure 2. The steps are effectively identical so there's not much for me to explain that I already haven't done so. You should find that r = 2m which shows angle PBC doubles to angle POC.
-----------------------------
To wrap everything up for problem 9, we will combine the results we found for variables z and r.
angle AOC = z+r
angle AOC = 2x + 2m
angle AOC = 2(x+m)
angle AOC = 2*(angle ABC)
This concludes the inscribed angle theorem proof. Any inscribed angle doubles to get the corresponding central angle, where both subtend the same arc. In this case, they both subtend the arc APC.
Since spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since spring started. Use the 2 given points to write a linear equation that can be used to approximate the data distribution.
Answer:
y = 1566.67x + 1716.67
is the actual answer..
The linear equation that can be used to approximate the data distribution is y = 1566.67x + 1716.67.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given two points on the line.
(0.5, 2500) and (3.5, 7200)
Slope intercept form of a linear equation is y = mx + c, where m is the slope and c is the y intercept.
Slope = (7200 - 2500) / (3.5 - 0.5)
= 4700 / 3
= 1566.67
So the equation is, y = 1566.67x + c
Substitute the point (0.5, 2500) to the equation.
2500 = (1566.67 × 0.5) + c
c = 1716.67
So the equation is, y = 1566.67x + 1716.67
Hence the required equation is y = 1566.67x + 1716.67.
Learn more about Linear Equations here :
https://brainly.com/question/29739212
#SPJ2
find a, b, and c please and thank u
how to find the area of a circle
A=πr²
where
π -> pi (3.14...)
r - radius
r² means you multiply r times itself
Hope it helps!
Find the surface area of the prism.
9 m
5 m. 12m
Answer:
the surface area of the prism is equal to 202 m^2
Step-by-step explanation:
The surface area of the prism is equal to
SA=2B+Ph
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
Find the area of the base B
B=LW=4*5=20m^2
Find the perimeter of the base P
P = 2(L+W) = 2 (4+5) = 18 m
Find the surface area ---->
SA = 2B + Ph = 2(20) + 18(9) = 202 m^2
btw m^2 is stand for square meter, also called the meter squared! (just if ur wondering)
You want to get a cell phone plan including unlimited data, texting, and calls for your first phone you are going to purchase this summer from Sharaf Digital. Surf the internet and find a cell phone you would want to buy and record the price in US Dollars and type at Sharaf Digital.
a) All the plans have a base service charge of $23 per month plus the cost of the phone. Write an expression to represent the service charge.
b) There are three unlimited plans, and each plan incorporates the service charge. Translate each plan into an algebraic expression using the service charge expression from the above question.
Plan 1: $8 less than twice the amount of the service charge.
Plan 2: The quotient of the service charge and 2 increased by a fee of $50 per month.
Plan 3: The sum of half the number of months cubed and a third of the service charge.
c) Which plan would be most cost effective for a 2-year contract? Show all calculations that led to your results. Explain your results comparing the 3 plans.
d) Sharaf Digital is having a special promotion by challenging customers to create their own plan. Customers must write a verbal expression that must include the service charge and at least two operations. The operations to choose from are listed below.
If the plan is within $15 per month of one of the original 3 plans then the customer could choose that plan.
Create a 4th plan and show all calculations that led to your results.
Answer:Samsung Galaxy Z Fold3 5G 256GB Phantom Black Smartphone
USD 1343
a) All the plans have a base service charge of $23 per month plus the cost of the phone. Write an expression to represent the service charge.
1343 + 23m
b) There are three unlimited plans, and each plan incorporates the service charge. Translate each plan into an algebraic expression using the service charge expression from the above question.
Plan 1: $8 less than twice the amount of the service charge.
(service charge is 23 per month so)
1343 + 2(23m– 8)
Plan 2: The quotient of the service charge and 2 increased by a fee of $50 per month.
1343 + (23m/2 + 50m)
Plan 3: The sum of half the number of months cubed and a third of the service charge.
1343 + (1/2m3 + 1/3(23m))
c) Which plan would be most cost effective for a 2-year contract? Show all calculations that led to your results. Explain your results comparing the 3 plans.
Plan 1: 1343 + (24(23 – 8) = 1703
Plan 2: 1343+ (24x61.5) = 2819
Plan 3: 1343 + (1728 + 552) = 3623
Plan 1 is the most cost effective because it is the cheapest
d) Sharaf Digital is having a special promotion by challenging customers to create their own plan. Customers must write a verbal expression that must include the service charge and at least two operations. The operations to choose from are listed below.
If the plan is within $15 per month of one of the original 3 plans then the customer could choose that plan.
Create a 4th plan and show all calculations that led to your results.
Operations: product, more than, less than, double, sum, divided by, square
The product of 3.5 and the total cost divided by 4
3.5(1343 + (24(23 – 8))/4 = 1490.13
Plan 4 = 1490.13/24 = 62.09
Plan 1: 1703/24
70.95
Step-by-step explanation:
I need sum help y’all boys
You have to multiply the Diameter, times Pi.(3.14)
7. 21.98
8. 62.8
9.75.36
10. 59.66
11. 84.78
12. 3082.2
I dunno the last one. I probably do but
Hope This Helped!
In the relation (a+c)^2=t make C the subject
Answer:
See below
Step-by-step explanation:
(a+c)^2 = t
(a+c) = sqrt t
c = sqrt(t) - a
Evaluate the expression for x = 3 and y = 6.
5(x2 + y) + y2
Answer:
48
Step-by-step explanation:
5(x2+y)+y2
5 x (3 x 2 + 6) + 6 x 2
5 x 6 + 6 + 6 x 2
30 + 6 + 6 x 2
30 + 6 + 12
36 + 12 = 48
Is this correct please give correct answer but no links
Answer:
I give answers I think their correct but as humans we make mistakes so there may be errors
Ex. 1 Write an equation in slope-intercept form for the line that passes through (3, 8) and is
perpendicular to the line with equation y = -1/3x+8
Answer:
Step-by-step explanation:
The line perpendicual to a reference line will have a slope that is the negative inverse of the reference line. In this case, the reference line is y= -(1/3)X+8, with a slope of -(1/3). The negative inverse would be 3. So the new line would have the form:
y = 3x + b
To find b, the y-intercept, use the given point and solve for b:
y = 3x + b
or 8 = 3*3 + b for the point (3,8)
8=9+b
b= -1
Thje equation of the line perpendicualr to the reference line and going through point (3,8) is:
y = 3x - 1
See attached graph.