Answer:
[tex] \boxed{A. \: 1} [/tex]
Step-by-step explanation:
[tex] = > x + \frac{1}{5} (x - 1) = 1 \\ \\ = > x + ( \frac{1}{5} \times x) - (\frac{1}{5} \times 1) = 1 \\ \\ = > x + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = >( x \times \frac{5}{5} ) + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = > \frac{5x}{5} + \frac{x}{5} = 1 + \frac{1}{5} \\ \\ = > \frac{5x + x}{5} = (1 \times \frac{5}{5} ) + \frac{1}{5} \\ \\ = > \frac{6x}{5} = \frac{5}{5} + \frac{1}{5} \\ \\ = > \frac{6x}{ \cancel{5}} = \frac{5 + 1}{ \cancel{5}} \\ \\ = > 6x = 6 \\ \\ = > x = \frac{ \cancel{6}}{ \cancel{6}} \\ \\ = > x = 1[/tex]
The graph below shows the number of pages Matthew read in x hours. Find the slope of the line. Explain what the slope represents.
Answer: The slope represents the RATE at which Matthew read pages in x hours.
Step-by-step explanation:
While I can not see the graph, I can conclude the representation from your sentence. Slope usually describes cases where an action increases or decreases over time if that makes sense. I can help you with the calculation if you add the graph! I hope this helped a bit!
With explanations please
1.) A ship leaves port and travels 21km on a bearing of 032° and then 45km on a bearing of 287°
a) Calculate it's distance from the port
b) Calculate the bearing of the port from the ship
2.) A surveyor leaves her base camp and drives 42 km on a bearing of 032°,she then drives 28km on a bearing of 154°. How far is she then from her base camp and what is her bearing from it?
Answer:idk
Step-by-step explanatio
37 is 60% of what number?
Answer:
61 2/3 = n
Step-by-step explanation:
Is means equals and of means multiply
37 = 60% * n
37 = .60n
divide each side by .60
37 / .60 = .60n/.60
61.6666666 repeating = n
61 2/3 = n
A pen cost $0.89 yesterday. It is on sale today for $0.65.
How much less does the pen cost today?
Answer:
The pen costs 24 cents less today than yesterday
Step-by-step explanation:
0.89-0.65=0.24
Answer:
It costs $0.24 less
Step-by-step explanation:
0.89 - 0.65=0.24
y varies inversely as x, if y = -3 when x = -6, find y when x = 14.
Answer:
y is equal to 7 when x is equal to 14.
Step-by-step explanation:
-6 divided by -3 is equal to 2. This means x divided by y is equal to 2.
x / y = 2
14 / 7 = 2
PLS HELP ANSWER CORRECTLY WITH FULL WORK THO
Answer:
Hope this working is clear
please help ill mark you as brainlesit if correct!
Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]
Given , Sam has 4 cards numbered 2,3,5, and 7.
His friend has 4 cards numbered 1,2,6 and 7.
If they both draw one card and put that on table , then the possible combinations of cards would be (2,1) , (2,2), .... (7,6), (7,7).
i.e. Number of possible outcomes would be (S) 4 x 4 = 16
Favorable outcomes that they will choose same number (F) = (2,2) , (7,7)
Now , the probability that they will both choose the same number would be :
[tex]\dfrac{F}{S}=\dfrac{2}{16}=\dfrac{1}{8}[/tex]
Hence, the required probability = [tex]\dfrac{1}{8}[/tex]
A line segment 9 cm long is dilated with a scale factor of 3. Find the length of the dilated line segment. A. 1/3 cm B. 3 cm C. 12 cm D. 27 cm
Answer:
27 cmSolution
[tex]length = 9 \: cm \\ on \: dilation \: with \: a \: scale \: factor \: of \: 3 \\ now \\ length = 9 \times 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 27 \: cm[/tex]
hope this helps...
Good luck on your assignment....
(q^4)^z=q^12
find the value of z
Answer:
z = 3
Step-by-step explanation:
Using the rule of exponents
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Thus
[tex](q^{4}) ^{z}[/tex] = [tex]q^{4z}[/tex] , so
[tex]q^{4z}[/tex] = [tex]q^{12}[/tex]
Since the bases on both sides are equal then equate the exponents
4z = 12 ( divide both sides by 4 )
z = 3
Answer:
The value of z is 3.
Step-by-step explanation:
You have to use Indices Law,
[tex] {( {a}^{m}) }^{n} \: ⇒ \: {a}^{mn} [/tex]
So for this question, first you have to get rid of brackets :
[tex] { ({q}^{4} )}^{z} = {q}^{12} [/tex]
[tex] {q}^{4z} = {q}^{12} [/tex]
Next you can solve it since both have the same bases :
[tex] {q}^{4z} = {q}^{12} [/tex]
[tex]4z = 12[/tex]
[tex]z = 3[/tex]
If a taxpayer has an adjusted gross income (AGI) of $75,000, donates
$20,000 to charity, and itemizes deductions on his federal income tax return,
how much of the charitable donation is deductible?
O A. None of the donation is deductible.
B. $20,000
O c. $10,000
O D. $5000
Answer:20000
Step-by-step explanations
A cylinder of base radius 4cm is opened at one end . If the ratio of the area of it's base to that of it's curved surface area is 1:4, Calculate the height of the cylinder
Answer:
Height = 8cm
Step-by-step explanation:
I hope it helps
The required height of the cylinder is 8cm.
A cylinder of base radius 4cm. The ratio of the area of it's base to that of it's curved surface area is 1:4. Height of cylinder is to be determine.
Surface area is defined as the area of the surface that are uncovered.
Here,
area of circle/surface area of cylinder=1/4
πr²/2πrh=1/4
r/2h=1/4
h=2r
where r = 4cm
h = 2*4
h = 8cm
Thus, the required height of the cylinder is 8cm.
Learn more about surface area here:
https://brainly.com/question/2835293
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Write the first six terms of the sequence.
a1 = 4, an = An-1 +5
Answer:
{4, 9, 14, 19, 24}
Step-by-step explanation:
Best to use the notation a(1) = 4, a(n) = a(n-1) + 5.
a(1) = 4 (given)
a(2) = 9 (here we found a(2) by adding the common difference, 5, to a(1)
a(3) = 14
a(4) = 19
a(5) = 24
The GCF of 24 and 32 is
Answer:
8
Step-by-step explanation:
please help!!
it’s due today
Answer:
this is a little late haha but the last one
Step-by-step explanation:
cus the slope is 2 and the y intercept is -1
work out (8x10^-3) x (2x10^-4)
Answer:
[tex]1.6 \times 10^{-6}[/tex]
Step-by-step explanation:
[tex](8 \times 10^{-3}) \times (2 \times 10^{-4})[/tex]
[tex]8 \times 2 \times 10^{-3} \times 10^{-4}[/tex]
[tex]16 \times 10^{-3+(-4)}[/tex]
[tex]16 \times 10^{-3-4}[/tex]
[tex]16 \times 10^{-7}[/tex]
[tex]1.6 \times 10^{-6}[/tex]
Answer:
(8 × 10^-3)× ( 2× 10 ^-4)
reorder the terms
You will get
(8 × 2) ( 10^ -3 × 10^-4)
Multiply
16 ( 10^ -3 × 10^-4)
Use the rules of indices
a^ b × a^ c = a^b+c
16(10^-3-4)
16(10^-7)
= 16 × 10^-7 or 1.6 × 10^-6 or 0.0000016
Hope this helps.
examine the number patter below 1,2,3,5,8,13,21
The sequence is the Fibonacci sequence!
It works like this.
1+2=3
2+3=5
3+5=8
5+8=13
8+13=21
and so on.
Answer:
Step-by-step explanation:
Ad the last two for the next
(1+2)= 3. 3+5=8.......
so 13+21= 34
21+34= 55
34+55= 89
not sure what you are looking for but I hope that helps.
Which angle pairs are supplementary? Check all that
apply.
21 and 22
0 24 and 23
0 24 and 25
O 27 and 25
O 23 and 26
Answer:
Option B, C and E are supplementary angles.
Step-by-step explanation:
We need to find supplementary angles.
Supplementary angles are those angles who sum up to 180 °.
I have attached picture for reference.
Looking at the figure given:
We have supplementary angles:
∠4 and ∠3
∠4 and ∠5
∠5 and ∠6
∠7 and ∠8
∠3 and ∠6
But the options given are: ∠4 and ∠3,∠4 and ∠5, ∠3 and ∠6
So, Option B, C and E are supplementary angles.
Supplementary angles are pair of adjacent angles that add up to 180 degrees
Conditions for supplementary anglesFor a pair of angles to be supplementary, then the following must be true
The angles must be adjacent i.e. side by sideThe angles must add up to 180 degreesThe image is not given.
So, I provided a general explanation
Read more about supplementary angles at:
https://brainly.com/question/18217469
Find the volume of the pyramid.
When dividing complex numbers, why do
you need to multiply the numerator and
denominator by the complex conjugate of the
denominator?
Answer:
Hope this helps..
Step-by-step explanation:
So when you need to divide one complex number by another, you multiply the numerator and denominator of the problem by the conjugate of the denominator. This step creates a real number in the denominator of the answer, which allows you to write the answer in the standard form of a complex number.
Answer:
You have to multiply by the complex conjugate because the denominator has to be a real number. By multiplying the complex conjugate you can transform the denominator in to a real number.
Step-by-step explanation:
Determine whether the forces in the pair are pulling at right angles to each other. For the values a = 1.6 and b = 5.8, which are legs of a right triangle, find c, the hypotenuse, to the nearest tenth
Answer:
Approximetly 6
Step-by-step explanation:
a^2 + b^2 = c^2
1.6^2 + 5.8^2 = c^2
2.56 + 33.64 = c^2
36.2 = c^2
c=6 (approximetly)
Choose the product. -6p 3(3p 2 + 5p - 1)
Answer:
-18 p^5 - 30 p^4 - 6p^3
Step-by-step explanation:
-6p^3(3p^2 + 5p - 1)
Distribute
-6p^3(3p^2) + -6 p^3*5p - 6p^3
Combine like terms
-18 p^5 - 30 p^4 - 6p^3
Which figure shows an example of symmetry?
OA
O B
o
O D
Answer:
C.
Step-by-step explanation:
symmetry means that when you fold the paper along the line of symmetry shape is overlapping
a group of 43 children, with some adults, travelled by coach on a trip to a zoo
The total cost of the trip was £516
the entrance fee was £12.75 for each adult and£8.25 for each child
the cost of hiring the coach was £123
How many adults were in the group?
you must show your working
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516 - 123 = 393
8.25 x 43 = 354.75
393 - 354.75 = 38.25
38.25 / 12.75 = 3
There were 3 adults
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Answer:
3 adults
Step-by-step explanation:
(each child)£8.25×(total children)43=£354.75(total amount paid for children)
£354.75+£123=£477.75
£516-£477.75=£38.25
£38.25÷£12.75=3
if an atom has 12 positively charged protons and 12 negatively charged electrons, what is it's total charge?
[tex]+12+(-12)\\=0[/tex]
Points , , and are collinear. Point is between and . Solve for given the following. =3+3 =−1+2 =11 =
What is the area in square units of the polygon shown here 2 units 1 unit 5 units and 7 units.
12 units^2
14units^2
17 units^2
19 units^2
ASAP WILL DO BRAINLIESET
Karen can complete 12 coloring book pages in 30 minutes.
a) what is the constant of proportionality?
b) Write a direct variation equation that represents the scenario
c) How long will it take Karen to complete 96 coloring pages?
Answer:
a. Karen can do 2.5 coloring pages a minute.
c. 240 minutes
Step-by-step explanation:
c. 96 / 12 = 8. 8 x 30 = 240.
Calculate the surface area of the 3-D composite figure please!! show how you got the surface area
Answer:
1222 ft²
Step-by-step explanation:
11*19*2=41811*9*2=19819*9*2 - 10*9=25213*9*2=2341/2*10*12*2=120418+198+252+234+120=1222 ft²
The annual rainfall for two cities, Albany and Zachary, in each of the years from 2002 to 2011 are shown in the tables. Annual Rainfall for Albany (in.) 23.36 18.51 28.54 22.36 30.50 24.74 11.93 15.34 18.07 15.98 Annual Rainfall for Zachary (in.) 27.27 20.11 31.14 25.88 32.97 25.03 18.55 23.91 22.75 19.73 Find the mean for the two cities' annual rainfalls. In which city does it rain more in a year, on average? Drag and drop the correct choices into the boxes to complete the statement. On average, Albany gets _ inches of rain per year and Zachary gets _ inches of rain per year. on average, which city rains more zachary or albany?
Answer:
On average, Albani gets 20.933 inches of rain per year.
On average, Zachary gets 24.734 inches of rain per year.
On average, Zachary gets more rain than Albani.
Step-by-step explanation:
Mean is given by:
[tex]Mean = \frac{Sum}{Total}[/tex]
For Albani :
Sum of total number of terms = 23.36+18.51+28.54+22.36+30.50+24.74+11.93+15.34+18.07+15.98
Sum of total number of terms = 209.33
Number of terms = 10
[tex]Mean=\frac{209.33}{10}\\\\Mean=20.933\\[/tex]
For Zachary :
Sum of total number of terms = 27.27+20.11+31.14+25.88+32.97+25.03+18.55+23.91+22.75+19.73
Sum of total number of terms = 247.34
Number of terms = 10
[tex]Mean=\frac{247.34}{10}\\Mean=24.734[/tex]
Find the area of the regular polygon
Answer:
A
Step-by-step explanation:
