Answer:
a₈₇ = 497
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 19 and d = a₂ - a₁ = - 13 - (- 19) = - 13 + 19 = 6 , then
a₈₇ = - 19 + (86 × 6) = - 19 + 516 = 497
What is the following sum?
4(^5sqrtx^2y) + 3(^5sqrtx^2y)
Answer:
option 3
Step-by-step explanation:
[tex](4 + 3) \sqrt[5]{x {}^{2}y } = 7 \sqrt[5]{ {x}^{2}y } [/tex]
Answer:
[tex]7( \sqrt[5]{ {x}^{2}y } )[/tex]Step-by-step explanation:
[tex]4( \sqrt[5]{ {x}^{2}y } ) + 3( \sqrt[5]{ {x}^{2} y} )[/tex]
[tex](taking \: \sqrt[5]{ {x}^{2}y } \: as \: common \: then)[/tex]
[tex] = \sqrt[5]{ {x}^{2} y} (4 + 3)[/tex]
[tex] = \sqrt[5]{ {x}^{2} y} \times 7[/tex]
[tex] = 7 (\sqrt[5]{ {x}^{2}y } )(ans)[/tex]
what is the value of k if the function f(x)=(2-k)/(5x+k) if the graph of the function passes through the point (-1,1/2)
Answer:
k = 3.
Step-by-step explanation:
At the given point x = -1 an f(x) = 1/2, so we have the equation:
1/2 = (2 - k)/(5(-1) + k)
(2 - k)/(k - 5) = 1/2
Cross multiplying:
2(2 - k) = k - 5
4 - 2k = k - 5
-2k - k = -5 -4
-3k = -9
k = 3.
The rectangular top of a small box has dimensions of 140 mm by 230 mm.
How long (in centimeters) would a ribbon need to be to go all the way around the edge of the top of the box?
A.) 740 cm
B.) 74 cm
c.) 37 cm
D.) 7,400 cm
Answer: B. 74 cm
Step-by-step explanation:
Concept:
Here, we need to know the idea of unit conversion and perimeter.
When there are multiple units in a question, then we should convert all units into one through converting factors.
Perimeter is the distance around a two-dimensional figure.
P = 2 (w + l)
1 cm = 10 mm
Solve:
140 mm = 14 cm
230 mm = 23 cm
P = 2 (w + l) ⇒ Given
P = 2 (14 + 23) ⇒ Substitute
P = 2 (37) ⇒ Addition
P = 74 cm ⇒ Simplify through muliplication
Hope this helps!! :)
Please let me know if you have any questions
The value of cube root of x^10, when x = -2, can be written in simplest form as a^3 times the square root of b, where a = _____ and b = ______.
Answer:
[tex]a = 2[/tex]
[tex]b = 2^{1/6}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]
[tex]x = -2[/tex]
Required
Find a and b
We have:
[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]
Substitute -2 for x
[tex]\sqrt[3]{(-2)^{10}} = a^3 * \sqrt b[/tex]
[tex]\sqrt[3]{1024} = a^3 * \sqrt b[/tex]
Expand
[tex]\sqrt[3]{2^9 * 2} = a^3 * \sqrt b[/tex]
Split the exponents
[tex]2^{(9/3)} * 2^{(1/3)} = a^3 * \sqrt b[/tex]
[tex]2^{3} * 2^{1/3} = a^3 * \sqrt b[/tex]
By comparison:
[tex]a^3 = 2^3[/tex]
So;
[tex]a = 2[/tex]
and
[tex]\sqrt b = 2^{1/3}[/tex]
Take square roots of both sides
[tex]b = 2^{1/6}[/tex]
Answer: -8, -2
Step-by-step explanation: (the previous answers are ) 1. D 2. C 3. -8,-2 (for reference of order :))
What is the quotient in simplest form? 12/7 ÷ 3
Please help ASAP!!!! What is the length of BC?
Answer:
x=24
Step-by-step explanation:
Answer:
BC = 24
Step-by-step explanation:
Since ∠ B and ∠ C are congruent the the triangle is isosceles with
AC = AB , that is
3x - 15 = x + 33 ( subtract x from both sides )
2x - 15 = 33 ( add 15 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24
Then
BC = x = 24
How do I find the low value of a box plot
The far left of the chart is the minimum(low) value of the box plot.
Answered by Gauthmath must click thanks and mark brainliest
Equivalent expression -2/3a+5/6a-1/6
Answer:
324
Step-by-step explanation:
please help, it is associated with angles. thank u ;)
Answer:
angle c is 63
Step-by-step explanation:
Angles in a triangle add up to 180 therefore
70+47+x=180
x=180-117
=63°
I hope this helps
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70, find its length and width.
Answer:
[tex]l = 6w - - - - 1 \\ \\ 2l + 2w = 70 - - - - - 2 \\ \\ solving \: simultaneously \\ put \: l = 6w \: into \: 2 \\ 2(6w) + 2w = 70 \\ 12w + 2w = 70 \\ 14w = 70 \\ w = 5 \\ \\ l = 6w \\ l = 6(5) \\ l = 30[/tex]
Mr. Matthew was testing the only popularity of us custom-made belts and wallets that are marked differently some items were sold prior to the online launch date
Complete question is;
Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items were sold prior to the online launch date.
The equation below represents the number of belts sold, s, x days after its online launch. S = 3^(x)
The equation below represents the number of wallets sold, s, x days after its online launch. S = 4x + 15
Using graphing technology, complete the statements. After ___ days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is ___
Answer:
Number of days = 3 days
Total belts and wallets after 3 days = 54
Step-by-step explanation:
We are told that the number of belts sold, s, x days after its online launch. S = 3^(x)
Also, we are told that the number of wallets sold, s, x days after its online launch. S = 4x + 15
Now, we want to find the Number of days that total number of belts sold will be the same as the total number of wallets sold using graphing technology.
The number of days will simply be the value of x where the two graphs meet.
I have drawn the graph of both equations.
From the attached graph, we can see that the x-value at where the both graph lines meet is approximately 3. I didn't take the negative solution because number of days cannot be negative.
Thus, x = 3
Putting x = 3 in;
S = 3^(x)
S = 3^(3)
S = 27
Similarly, Putting x = 3 in;
S = 4x + 15
We have;
S = 4(3) + 15
S = 12 + 15
S = 27
Thus,total number of belts and wallets sold after 3 days = 27 + 27 = 54
Find the marked angles in each of the following. (where a point O is given it is the centre of the circle.)
Answer:
answer is in the attachment.
1. Suppose Alexis gets a job at a construction firm. Her salary begins at
$15,000 a year. I very year she works for the construction firm from now
on will increase her salary by $2,000 per year
Let , the input be the number of years Alexis has worked at the
construction firm, and let the output, be her salary.
a. Ir the function is linear, write a function rule for this function. If it
is not linear, explain why in one sentence.
b. Create a table involving at least four ordered pairs which represents
this function
Answer:
Annswea is 7 so if add ur it is the correct answer
Step-by-step explanation:
A dealer spent a total amount of $5250 for importing some cosmetics. If the total cost of the cosmetics was $5000 without tax, what was the percentage of import tax?
Answer:
5%
Step-by-step explanation:
First, find the amount of tax:
5250 - 5000
= 250
Divide this by the original price of $5000 to find the percent of import tax:
250/5000
= 0.05
So, the percent of import tax is 5%
For each graph below, state whether it represents a function.
Graph exists as an illustration of any object or a physical format by dots, lines, etc.
What is graph function?The graph of a function f exists the set of all points in the plane of the form (x, f(x)). We could also describe the graph of f to be the graph of the equation y = f(x). So, the graph of a function exists in a particular case of the graph of an equation.
A function is defined as a connection between a set of inputs containing one output each. In simple words, a function exists as an association between inputs where each input is connected to exactly one output. Every function includes a domain and codomain or range. A function exists generally represented by f(x) where x is the input.
From the given figure,
Graph 1 exists a function.
Graph 2 exists a function.
Graph 3 doesn't exist as a function.
Graph 4 exists a function.
Graph 5 doesn't exist as a function.
Graph 6 doesn't exist as a function.
Hence, Graph exists as a representative of any object or a physical design by dots, lines, etc.
To learn more about graph refer to:
https://brainly.com/question/11803331
#SPJ2
What do I need to do to be able to solve this problem?
9514 1404 393
Answer:
(x, y, z) = (5, 11, 6)
Step-by-step explanation:
To solve this problem, you need to understand "row operations". The ones we're concerned with are multiplying a row by a scalar, and adding rows together.
You also need to understand what the solution looks like, and the usual way that is achieved. The solution will have the 3×3 matrix left of the vertical line be a diagonal of 1s (the identity matrix). Then the numbers to the right of the vertical line represent the solution.
__
In the following, we will use the notation [a]+b[c]⇒[d] to mean that row 'a' is added to the product of row 'c' and the scalar 'b' and that sum replaces row [d]. Multiplying a row by a scalar multiplies each element in the row by that scalar.
The first several operations look like this. Notice we have made the upper left 2×2 matrix an identity matrix. Steps will continue to take care of the 3rd column.
[tex]\left[\begin{array}{ccc|c}1&1&1&22\\6&1&8&89\\-6&4&4&38\end{array}\right] \qquad\text{given}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&-5&2&-43\\0&5&12&127\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ 6[1]+[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ $-\frac{1}{5}$[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[1]-[2]$\rightarrow$[1]}[/tex]
Now, we normalize the third column.
[tex]\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&1&6\end{array}\right] \qquad\text{$\frac{1}{14}$[3]$\rightarrow$[3]}\\\\\left[\begin{array}{ccc|c}1&0&0&5\\0&1&0&11\\0&0&1&6\end{array}\right] \qquad\text{$-\frac{7}{5}$[3]+1$\rightarrow$[1];\ $\frac{2}{5}$[3]+[2]$\rightarrow$[2]}[/tex]
This is the target of our row operations. It tells us the solution to the system of equations is ...
(x, y, z) = (5, 11, 6)
_____
A number of online calculators and phone or tablet apps are available for putting a coefficient matrix into this "reduced row-echelon form." Many graphing calculators will do this, too.
In the end, this is not terribly different from ad hoc solution using "elimination" methods. That is precisely what we did when we created the zeros in the first two columns of row 3.
Helppppp pleaseeee anyoneeeeeee!!!!!!!!!!!!!
1/100,000 as a power of ten. What Is it?
Answer:
10^-5
10^-5 = 1/100,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{1}{100000}=\frac{1}{10^{5}}=10^{-5}\\\\\\\frac{1}{a^{m}}=a^{-m}[/tex]
pals fast what are amplitude, period, phase shift and midline for f(x)=-4 cos (3x-pi)+2
Answer:
amplitude = |-4| =4
period = 2 pi/3
phase shift = pi / 3
midline = 2
Step-by-step explanation:
f(x)=-4 cos (3x-pi)+2
The equation is in the form
f(x) = a cos (bx -c) +d where |a| is the amplitude
period is 2 pi /b
phase shift: c/b
midline = d
amplitude = |-4| =4
period = 2 pi/3
phase shift = pi / 3
midline = 2
A retailer sold an electric item to a customer at a loss of 10 percent the customer purchase it for rs 25425 including 13, percent VAT calculate the cost price of the electric item to the retailer
Answer: Rs 25,000
Step-by-step explanation:
Given
Retailer sold an electric iron to a customer at a loss of 10%
Suppose the Cost price of iron is [tex]x[/tex]
So, selling price is [tex]0.9x[/tex]
This price must be equal to [tex]25425[/tex]+ VAT
[tex]\Rightarrow 0.9x=25425-0.13(0.9x)\\\Rightarrow 0.9x+0.117x=25425\\\Rightarrow 1.017x=25425\\\Rightarrow x=\text{Rs }25,000[/tex]
Thus, the cost price is [tex]Rs.25,000[/tex]
Naglakad si Ruben ng 900 sentimetro samantalang si Jaime ay naglakad ng
10 na metro. Gaano kalayo ang pagitan ng nalakad ni Jaime kay Ruben sa
sentimetro?
a. 200 cm c. 300 cm
b. 100 cm d. 250 cm
Sagot:
100 cm
Hakbang-hakbang na paliwanag:
Kung ganoon :
Distansya na sakop ng Ruben = 900 centimetri
Distansya na sakop ng Jamie = 10 metro
Pagko-convert sa centimeter:
100 cm = 1 m
x cm = 10 m
Paggamit ng multiplikasyon ng krus:
x = 100 * 10
x = 1000 cm.
Dahil dito Distansya ni Jamie = 1000 cm
Distansya sa pagitan ng Jamie at Ruben;
1000 cm - 900 cm = 100 cm
Can someone help me please ?
Answer:
I would say D is your answer
Step-by-step explanation:
Answer:
the fourth one
use mathaway its like my best friend for math!!!
Step-by-step explanation:
Raju took some marble from his box. He put them in equal groups of 4. Then he put them in the groups of 5 , and then in the groups of 10. Each time no marble was leftover. Find the Minimum number of marbles he took from his box.
Answer:
ans is 20. just find the lcm between the three and it is 20
Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cupsss
Answer:
158.33 minutes = 2.63 hours
Step-by-step explanation:
Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain how you got the answer and why mine was wrong.
Use ΔDEF, shown below, to answer the question that follows:
Triangle DEF where angle E is a right angle. DE measures 55. EF measures x. Angle D measures 49 degrees.
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
Answer:
x ≈ 63.27
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan49° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{x}{55}[/tex] ( multiply both sides by 55 )
55 × tan49° = x , then
x ≈ 63.27 ( to the nearest hundredth )
HELPPPP MEEEE OUTTTTT ASAPPPPP PLEASEEEEE!!!!!
Answer:
cos A = 7/25
Step-by-step explanation:
Since we are given a right triangle, we can use trig functions
cos A = adj side/ hypotenuse
cos A = 7/25
Answer:
[tex]\boxed{\sf cos\ A =\frac{7}{25}}[/tex]
Step-by-step explanation:
We need to find out the value of cos A using the given triangle . Here we can see that the sides of the triangle are 7 , 25 and 24 .
We know that the ratio of sine is base to hypontenuse .
[tex]\sf\longrightarrow cos\theta =\dfrac{ base}{hypontenuse}[/tex]
Here we can see that the side along the angle A is 7 , therefore the base of the triangle is 7. And the side opposite to 90° angle is 25 . So it's the hypontenuse . On using the ratio of sine ,
[tex]\sf\longrightarrow cos \ A =\dfrac{ b}{h}=\dfrac{AB}{AC}[/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow \boxed{\blue{\sf cos \ A =\dfrac{7}{25}}}[/tex]
Hence the required answer is 7/25.
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic
Answer:
Independent means that one has no effect on the other. Exclusive means one cannot happen alongside the other. In simpler terms, independent events can be thought of as the chance it'll rain and how many people are flossing their teeth in the morning. Both happen, but neither one impacts the other.
Exclusive, on the other hand, means only one can happen. Lets say at nine in the evening your favorite show is on. However, you have an early morning and should be asleep by nine. You cannot both be asleep and watching your favorite show, and so these events are exclusive.
ASAPppppppppppppppppp
Answer:
9/16
Step-by-step explanation:
3/8 ÷ 2/3
Copy dot flip
3/8 * 3/2
Multiply the numerators
3*3=9
Multiply the denominators
8*2 = 16
Numerator over denominator
9/16
How would I solve this half life problem?
Need help on this asap!! Also Thank you in advance!!
Answer:
50/sin90=x/sin45
x=35.36cm
