[tex]f(x)=a(b)^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{1})\qquad 1=a(b)^0\implies 1=a~\hfill \underline{f(x)=1(b)^x} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2}~~,~~\stackrel{y}{25})\qquad 25=1(b)^2\implies 25=b^2\implies \sqrt{25}=b\implies 5=b \\\\[-0.35em] ~\dotfill\\\\ f(x)=1(5)^x\implies \underline{f(x)=5^x}[/tex]
Please Expand the following y( y + 2)
Answer:
[tex]y^{2} + 2y[/tex]
Step-by-step explanation:
y times y is [tex]y^{2}[/tex]
2 times y is 2y
find the equation of line that passes through the point (4,-5) and the slope 5/4
Answer:
[tex]\boxed{\sf{y=\dfrac{5}{4}x-10 }}[/tex]
Step-by-step explanation:
To find the equation of line, you have to use a slope and slope-intercept formula.
Slope formula:
[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
Slope-intercept formula:
[tex]\Longrightarrow:\sf{y=mx+b}[/tex]
M represents the slope.B represents the y-intercept.So, the slope is 5/4.The y-intercept is -10.Rewrite the problem down.
y=5/4x-10
So, the correct answer is y=5/4x-10.I hope this helps you! Let me know if my answer is wrong or not.
HELP
Which speed is equivalent to 1/2 mile per hour?
There are 1,000 millimeters in 1 meter. How many millimeters are in
118 meters? Circle the letter of the correct answer.
A 0.0118 millimeter
B. 0.118 millimeter
C118,000 millimeters
D 1,780.000 millimeters
Emily chose B as the correct answer. How did she get that answer?
Emily must have thought that she needed to divide 1000 by 118 which would have given her 0.118 millimeters. But her answer is wrong because you need to multiply 1,000 millimeters by 118 meters to find how many millimeters are in 118. the correct answer would have been C: 118,000 millimeters
What is the smallest number that, when divided by 4 and 5, will yield a remainder of 2?
Answer:
The required number is 62.
Let the required smallest number be X. We are aware that the required number is to be divided by 5, 6, 4, 3. The number leaves a remainder=2 on dividing by the aforementioned numbers.
[tex]\begin{equation}\text { Question: Find the value of } \frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{2^{2}}{1+x^{4}}+\ldots \cdot \frac{2^{100}}{1+x^{200}}\end{equation}[/tex]
[tex]\bold{Heya!}[/tex]
Your answer to this is:
[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]
→ EXPLANATION :-[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: (1)[/tex]
[tex]\sf{Apply \: rule:} \: (a) = a[/tex]
[tex]\sf{(1) = 1[/tex]
[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: ^. \: 1[/tex]
[tex]\sf{\frac{1}{1 \: + \:1} = \frac{1}{2}[/tex]
[tex]\sf{\frac{2^1^0^0}{1 \: + \: x^2^0^0} ^.^ \: 1 \: = \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]
[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
Which of the following is most likely the next step in the series?
od
ОА
O
O B.
OC.
OD.
The circles in the figures form a series
The next step in the series is (B)
How to determine the next step?From the figure, we have the following highlights
The first circle has 2 segmentsThe second circle has 4 segmentsThe third circle has 5 segmentsUsing the above pattern, the next circle must have 6 segments
Hence, the next step in the series is (B)
Read more about series at:
https://brainly.com/question/6561461
distribute to create an equivalent expression with the fewest symbols possible 1/5(15+10k)=
Answer:
[tex]3+2k[/tex]
Step-by-step explanation:
[tex]\frac{1}{5}(15+10k)=\frac{1}{5}(15)+\frac{1}{5}(10k)=3+2k[/tex]
Answer:
3 + 2k
Step-by-step explanation:
Given that:
⅕ (15+10k)
Using the distributive property which is:
a × (b + c) = a × b + a × c
Which also means: Remove Parentheses
Thus we have:
⅕ (15+10k)
⇒ ⅕ × 15+⅕ ×10k
⇒ ¹⁵⁄₅ + ¹⁰ᵏ⁄₅
⇒ 3 + 2k
Hence, the answer to equivalent expression is 3 + 2k.
Kavinsky
Factorise fully 21a-7a²
-7(a-3)a
hope it helps...!!!!
Lin's grandmother ordered needles that were 0.3125 inches. The pharmacist sent her 0.6875 inches needles. How longer were these needles than the ones she ordered?
Answer:
0.375
Step-by-step explanation:
0.6875-0.3125 = 0.375
Odds in favor of drawing a face card
Answer:
y blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah
12 face cards
->12/52
=3/13
20 easy points fast ……………………….
Rewrite the expression ^3 square root of x^8 using rational exponents.
Answer:
X^8/3
Step-by-step explanation:
When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.
PLEASE HELP ASAP
Reginald Wallace's gross weekly salary is $515. His weekly federal withholding is $55. The Social Security tax is 6.2% of the first $97,500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay. Each week he pays $12.40 for medical insurance. How much is deducted from Reginald's weekly wages for state tax and Medicare tax?
Answer:
$15.20
Step-by-step explanation:
Had the same question last year and found the answer in some flashcards. You can browse the question too.
The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35o angle of elevation. Approximately how far apart are the buildings? Round to the nearest foot.
Since the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
The required triangleThe line of sight of the lower building to the taller building, the distance of the buldings apart, D and the height of the lower building below the taller building, h form a right angled triangle with angle Ф = 35° = angle of elevation of taller building and opposite side, h.
From trigonometric ratios, we have that
tanФ = h/D
So, D = h/tanФ
Since
h = 400 ft and Ф = 35°,Distance of building apartSubstituting the values of the variables into the equation, we have
D = h/tanФ
D = 400 ft/tan35°
D = 400 ft/0.7002
D = 571.27 ft
D ≅ 571 ft to the nearest foot
So, the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
Learn more about distance of building apart
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Need help ASAP due today! I will give brainlisted for correct answer!
Answer: 15.
Step-by-step explanation: To find the slope, you need to use rise/run which is done below if you need a visual look at what I'm saying. Before we use rise/run, we need two points on the line. We'll use (2, 80), and (6, 140). We need to go 60 up and 4 to the right to make the points meet. Going up or down is the rise and left or right is the run. Our rise/run is 60/4 or 15 when you divide. Therefore, 15 is your slope for this equation of a line.
Have a great day! :)
HELP PLS
WORTH 1 POINT
GIVING 10
WHAT DID I DO WRONG?
supplementary angles form a straight line (together 180°) and the ones that you indicated didn't.
un classeur contient des feuilles de couleurs différents les deux tiers des feuilles sont blanches le un sixieme des feuilles sont bleues et 12 feuilles restantes sont jaunes determiner le nombre des feuilles dans le classeur
Answer:
Step-by-step explanation:
bonjour :
soit x le nombre des feuilles dans le classeur
les deux tiers des feuilles sont blanches veut dire : (2/ 3)x
un sixieme des feuilles sont bleues veut dire : (1/6)x
on compose cette équation : (2/ 3)x + (1/6)x +12 = x
rsolvont cette équation : multiplions les deux membres par : 6
4x+x+72 =6x
4x-6x+x+72=6x-6x
-x+72=0
x=72
verification :(2/3)(72)+(1/6)(72)+12=144/3 +72/6 +12 =48+12+12=72
(I.5)
Write the sentence as an equation.
148 is equal to 12 minus z
Type a slash ( / ) if you want to use a division sign.
Answer:
the verbal sentence so it is easier to translate. ... 12 equals p divided by. 4 n. 2. +. 12. = p. ÷. 4. 4. Half of j minus 5 is the sum of k and 13.
Step-by-step explanation:
A circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.
What is the area of the shaded region?
Answer:
Hope the picture will help you.................
What is the slope of a line perpendicular to the line whose equation is
3x – 3y = 63. Fully simplify your answer.
Answer:
3x-3y=63 = -1
Step-by-step explanation:
so the anwer is -1
What is the domain of the function y=\sqrt{x}
What is the domain of the function y = StartRoot x EndRoot?
Answer: C (third choice)
Step-by-step explanation:
Square roots cannot hold negative x values as it will create an imaginary number.
Therefore the starting value of x must be starting at 0 and then moving to infinity
Answer:
c
Step-by-step explanation:
Find the equation of the line joining the points (4, 9) and (-1, 0)
The equation of the line joining the points (4, 9) and (-1, 0) is y = 9/5 x + 9/5
How to find the equation of a line?The formula for calculating the equation of a line is expressed as:
y = mx + b
m is the slope
b is the intercept
Determine the slope:
Slope = 0-9/-1-4
Slope = -9/-5
Slope = 9/5
Determine the y-intecept
0 = 9/5(-1) + b
b = 9/5
Hence the equation of the line is y = 9/5 x + 9/5
Learn more on equation of a line here: https://brainly.com/question/13763238
plsss help ill give briliantest
Answer:
The answer is 310
Step-by-step explanation:
Example of distributive property of division
The 1,860 is broken down into 1800 & 60
1800 divided by 6 + 60 divided by 6
1800 divided by 6 = 300 + 60 divided by 6 = 10
300 + 10 = 310
Write the equation of the line through the points (-6, -19) and (2, 5).
Answer:
y = 3x - 1
Step-by-step explanation:
The slope of a line passing through the two points
P = (x1. y1) and Q = (x2, y2) is given by
m= (y2-y1)/(x2-x1)
We have that x1= -6, y1= -19, x2= 2, y2= 5
m=3
Now, the y-intercept is b=y1 - mx1 (or b= y2 - mx2, the result is the same).
b= -19-(3)(-6)
b= -1
y = 3x - 1
Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the probability of observing: exactly 3 tails.
Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.
The probability of 3 tails is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
0.125 = 12.5% probability of observing exactly 3 tails.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
help, Surface area of cubes and prisms
Answer:
2382
Step-by-step explanation:
You can use rectangle surface area= l × b
2×(27×21)+2×(27×13)+2×(21×13)
=2382
A cylinder has a diameter of 6 cm and a height of 3 cm. What is the surface area of the cylinder? Enter your answer, in exact form, in the box.
If the diameter and height of the cylinder are 6 cm and 3 cm. Then the surface area of the cylinder is 56.55 square cm.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A cylinder has a diameter of 6 cm and a height of 3 cm.
Then the surface area of the cylinder will be
[tex]\rm SA = \pi d h[/tex]
We have
d = 6 cm
h = 3 cm
Then the surface area will be
[tex]\rm SA = \pi \times 6 \times 3 \\\\SA = 56.55[/tex]
More about the cylinder link is given below.
https://brainly.com/question/3692256
#SPJ1
Solve the problem with more than one answer
13-7+8=
Answer:
14
-83
-43
these anwrers when you make it with different ways.
You nees to get more than one answer with this problem I guess.
13-7+8 = 14
13(-7) + 8 = -83
13-7(+8) = -43If this not what you asked please delete my answer, if not kindly give me brainliest if you like.
Answer:
THERE IS NO OTHER ANSWER THAN 14
Step-by-step explanation:
Only 1 answer can be found by doing this problem in any order:
If we do 13-7 first:
(13-7)+8=
6+8=
14
So 1 answer is 14
If we do -7+8 first:
13+(-7+8) =
13+1=
14
So either way you do it you get the same answer. This is why it doesn't matter whether you do addittion or subtraction first before the other.
THERE IS NO OTHER ANSWER THAN 14
Differentiate y = tan²x from first principle
Answer:
[tex]y'=2sec^2(x)tan(x)[/tex]
Step-by-step explanation: