Answer: $9.25 an hour
Step-by-step explanation:
Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms X Clear * Undo Redo
Answer:
[tex]T_{10} = 0.05078125[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Step-by-step explanation:
Given:
Sequence = 26, 13, 6.5 ....
Solving (a): The 10th term
The sequence is a geometric progression and the nth term will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case:
[tex]n = 10[/tex]
[tex]r = \frac{T_2}{T_1}[/tex] --- Common Ratio
[tex]r = \frac{13}{26}[/tex]
[tex]r = 0.5[/tex]
[tex]a = 26[/tex] --- First term
So, [tex]T_n = ar^{n-1}[/tex] becomes
[tex]T_{10} = 26 * 0.5^{10-1}[/tex]
[tex]T_{10} = 26 * 0.5^{9}[/tex]
[tex]T_{10} = 26 * 0.001953125[/tex]
[tex]T_{10} = 0.05078125[/tex]
Solving (b): The sum of first 18 terms
This will be calculated using:
[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]
Substitute values for n, a and r
[tex]S_{18} = \frac{26 * (1 - 0.5^{18})}{1 - 0.5}[/tex]
[tex]S_{18} = \frac{25.9999008179}{0.5}[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Hence, the sum of first 18 terms is 51.9998016358
The area of a circle is 36
[tex]\pi[/tex]
cm?.
What is the radius of this circle?
Explain in words the equation 42÷6=
Answer:
The quotient of forty-two and six is seven.
I need some assistance please
Answer:
2x + y = 20 . y=3x
2x + 3x = 20
5x = 20
x/5 = 20/5
x = 4
(4,0)
Carmen is designing an intersection of the rail line and four streets. She wants to know which streets are parallel.
Transversal t crosses lines c, d, e, f forming 16 angles. Clockwise from top left, the angles formed with line c are blank, blank, blank, 114 degrees; with line d are blank, blank, 68 degrees, blank; with line e are blank, 112 degrees, blank, blank; with line f are blank, blank, 66 degrees, blank.
Which streets are parallel? Check all that apply.
c || d
c || e
c || f
d || e
d || f
e || f
Answer:
c || f d || e
step-by-step explanation:
Answer:
C and D
or
c || f
d || e
Hope this Helps!
31 = 9/3+6 solve the equation
Answer:
This question doesn't really make sense...
Step-by-step explanation:
Please try to correct it.
Answer:
9 is the answer
Step-by-step explanation:
1. 31 = 9/3+6 <------- This is the original equation.
2. 31 = 3+6 <------- Simplify the fraction.
3. 31 = 9 <-------- This is the final answer.
Hope this helps! I did the best I could. :)
Is this a function?explain your choice.be specific by describing the domain and range values that may be problematic
Answer:
No, this is not a function because this would not pass the vertical line test in which only one y point can be on one x axis not two. As you can see, on (0,3) and (0,(-2)) are on the same x axis. So, not a function.
A pitcher contains 3.85 L of milk. Anna adds 0.475 Lof
chocolate syrup to make chocolate milk.
How many liters of chocolate milk are in the pitcher?
Answer:
[tex]Volume = 4.325 L[/tex]
Step-by-step explanation:
Given
[tex]Initial = 3.85L[/tex]
[tex]Additional= 0.475L[/tex]
Required
Determine the volume of the chocolate milk
Since, the mixture produces a chocolate milk, then the volume is the addition of milk in the pitcher and the chocolate syrup.
i.e.
[tex]Volume = Initial + Additional[/tex]
[tex]Volume = 3.85L + 0.475L[/tex]
[tex]Volume = 4.325 L[/tex]
Hence, there are 4.325 liters of chocolate milk in the pitcher
Katie completes 2/3 of her craft project in 3/4 of an hour at this rate what fraction of the craft project does Katie complete in one hour give your answer in fraction form
Answer:
2/3 in 3/4 of an hour. that would mean u an extra 1/4 of an hour would give Katie the time to finish up the project
Step-by-step explanation:
Katie, take no breaks when u can get this done in an hour. don't be lazy
In the equilateral triangle below, x =
and the length of each side is
units.
3x + 6
9x – 12
6x - 3
Step-by-step explanation:
3x+6+9x-12+6x-3=180
15x-9=180
x-9=12
x=21
Using a table, show 60% of 80 60% of 80 is о
Angles A and B are complementary. Angle A measures 3x + 10
degrees and angle B measures 2x + 20 degrees. What is the value of
x?
Answer:
x = 12
Step-by-step explanation:
Lets set up the equation!
Complementary angles equal 90 degrees.
2x + 20 + 3x + 10 = 90
Now lets combine the like terms!
2x + 3x 20+ 10
5x +30 = 90
Now subtract 30 from both sides!
5x = 60
Divide each side by 5
x = 12
Brainliest is appreciated!
What is the answer to this geometry answer?
what is the sum of 1 and another 1
Answer:
1+1=2
Step-by-step explanation:
Answer:2jk
itts3
Step-by-step explanation:
1+1=3
Name how the triangles are congruent in this image
Evaluate the expression you wrote to
find the amount Mr. Parker will pay if
he drives 80 miles.
Answer:
$78 or $78.00
1 3/4 divided by 1/2-1 1/2 to the 3rd
Answer:
-7/4
1/8
Step-by-step explanation:
1. If the problem is; (1 3/4) / (1/2 - 1 1/2)^(3)
(a). Convert to improper fractions;
(7/4) / (1/2 - 3/2)^3
(b). Simplify;
(7/4) / (-2/2)^3
(7/4) / (-1)^3
(7/4) / (-1)
-7/4
2. If the problem is; ((1 3/4) / (1/2)) - (1 1/2)^3
(a). Convert to improper fractions;
((7/4)/ (1/2)) - (3/2)^3
(b). Simplify;
((7/4)/ (1/2)) - (3/2)^3
((7/4)*(2/1)) - (27/8)
(7/2) - (27/8)
(28/8) - (27/8)
1/8
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]
x1 and y1 are (-2, -1)
x2 and y2 are (4, 3)
[tex]\frac{3-(-1)}{4-(-2)}[/tex]
[tex]\frac{3+1}{4+2}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{2}{3}[/tex]
A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $10.41 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the mean repair cost for the refrigerators. Assume the population is approximately normal.
a proportional relationship is represented on a graph with a line that has a slope of 40 what is the unit rate
Answer:40
Step-by-step explanation:
Mother had 2/3 of a pound of sugar. She used ¼ of it to make a cake. How much sugar did she use?
Answer:
1/6 lb
Step-by-step explanation:
2/3 * 1/4 = 2/12 = 1/6
Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4
Answer:
y = 1/4 x + 4
Step-by-step explanation:
1. Because the new equation is parallel to y= 1/4x - 4 => the slope is still the same => New equation : y = 1/4x + b ( b is a number that we'll find now)
2. Put x = 4 and y = 5 in the new equation
=> 5 = (1/4)(4) + b
=> b = 4
3. So then we'll have the new equation that is parallel to y = 1/4x-4
HELPPPP PLZ
Savannah drew a map of Texas for her Geography class. According to Savannah’s map scale, one-half inch on the map represents approximately 77.5 kilometers. If the actual distance from Austin to El Paso is approximately 930 kilometers, what is the approximate distance between Austin and El Paso on Savannah’s map?
A.24 inches
B.2 inches
C.6 inches
D.12 inches
Answer:
A
Step-by-step explanation:
Solve: 4|x-1|+2=0
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A researcher developing scanners to search for hidden weapons at airports has failed to conclude that a new scanner is significantly better than the current scanner. He made his decision based on a test using α=0.025.
a. Would he have made the same decision at α=0.20?
b. How about α=0.005? Explain.
Answer:
a. not sure
b. yes
Step-by-step explanation:
According to the given scenario, the following information is mentioned
[tex]\alpha[/tex] =0.025
In the case when the alpha is equivalent to 0.025 so the p test value would be more than the significance level i.e. 0.025 as the prescribed test is not important
So here
p>0.025
In the above case i.e. p>0.025 this does not mean that p>0.2 so we are not sure about this case whether he made teh same decision or not
Now in the another case, if the significant level is 0.005 so we are sure that p>0.005 as it is more than 0.025 so here also the test is not significant
So, here the same decision could be made
Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation represents all numbers of points, p, a player may have after his or her first turn of the game? A. p = 4 B. p = –4 C. |p| = 4 D. |p| = –4
Answer:
C |p| = 4
Step-by-step explanation:
If a player wins 4points during each turn, then, the total points will be +4points
If the player looses 4points, total points lost will be -4points
The total number of point p the player can have will be represented as;
|p| = 4 (since is both positive and negative 4 )
Note that the nodulus of a variable will return both positive and negative value of that variable
Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
Note: As you missed to add the graph of mentioning the complete question.
So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.
Answer:
Please check the explanation!
Step-by-step explanation:
Given the attached graph below, it is clear that the right angle triangle ABC is shown.
Here are some of the information we can get from the right angle triangle ABC such as:
The angle at C = 30°side AB = 8 unitsWe have to determine the unknown side 'x' using the trigonometric ratios
As
tan Ф = opp/adjacent
From the diagram it is clear that
Ф = 30°
opp=8
adjacent = BC = x
so
tan Ф = opp/adjacent
tan 30 = 8/x
1/√3 = 8/x
x = 8×√3
x = 13.9
Therefore, the missing length will be: x = 13.9
f(x)=0.5-2xsquared find the value of f(x) when x=0
Answer:
f(0) = 0.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 0.5 - 2x²
x = 0
Step 2: Evaluate
Substitute in x: f(0) = 0.5 - 2(0)²Exponents: f(0) = 0.5 - 2(0)Multiply: f(0) = 0.5 - 0Subtract: f(0) = 0.5Answer:
f ( 0 ) = 0.5
Step-by-step explanation:
Step 1:
f ( x ) = 0.5 - 2x² Function
Step 2:
x = 0 Given
Step 3:
f ( 0 ) = 0.5 - ( 2 ( 0 ) )² Multiply
Answer:
f ( 0 ) = 0.5
Hope This Helps :)
Rosa purchaded a sofa that was on sale for 20% off. The sofa cost $ 1850. How much does the Sofa cost?
Answer:
Step-by-step explanation:
370
Write the equation of a line that passes through the
points shown in the table.
Which equations represent a line that passes through
the points given in the table? Check all that apply.
х
y
y-2 = -6(x + 10)
Oy-2=-1(x + 10)
-10
2
Oy-1--1(x + 4)
-4
1
y=-6x - 58
8.
-1
y=-3x+
y=-**+5
14
-2
Answer:
it's b on edge 2020
Step-by-step explanation:
you're welcome :)
The equations of the line that passes throught the point given in the table are as follows;
[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]
[tex]y-2=-\frac{1}{6}(x+10)[/tex]
Equation of a straight lineThe linear equation of a striaght line is represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
m = 1 - 2 / -4 + 10
m = - 1 / 6
Let's find b using (-10, 2)
2 = - 1 / 6(-10) + b
2 = 5 / 3 + b
b = 2 - 5 / 3
b = 6 - 5 / 3
b = 1 / 3
hence,
[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]
using y - y₁ = m(x - x₁)
y₁ = 2
x₁ = -10
m = - 1 / 6
Hence,
[tex]y-2=-\frac{1}{6}(x+10)[/tex]
learn more on equation of a line here: https://brainly.com/question/20897328
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