Answer:
[tex]h(x)=2(x + 3)^{\frac{1}{2} }[/tex]
Step-by-step explanation:
Parent function of the square root function has been given as,
f(x) = [tex]x^{\frac{1}{2} }[/tex]
If the graph of the given function is stretched vertically by the scale factor = g(x) = [tex]k(x^\frac{1}{2})[/tex]
If the graph is shifted 3 units to the left,
h(x) = [tex]k(x + 3)^{\frac{1}{2} }[/tex]
Since, the graph of the function passes through a point (-2, 2),
[tex]2=k(-2 + 3)^\frac{1}{2}[/tex]
2 = k
Therefore, the function is [tex]h(x)=2(x + 3)^{\frac{1}{2} }[/tex].
classify the expression by both degree and terms 2x4 - x +5
Answer:
x=3
Step-by-step explanation:
Application: Sandy wants to cover a wooden cylinder with a diameter of 1 ft and a height of 4 ft with carpet to build a scratching post for her cats. What are the steps she needs to take to complete this task?
Step-by-step explanation:
Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.
A circle has a radius of 2 feet. What is the length of the arc subtended by a 15 degree central angle?
Answer:
Step-by-step explanation:
length = Pi.radius.15degree/180degree
= Pi.2.15/180 = about 0,5 feet
The length of the arc that is subtended by 15° is: 0.5 ft.
What is the Arc Length in a Circle?Formula for the arc length in a circle with a radius of r and a central angle of ∅ is, ∅/360 × 2πr.
Given the following:
r = 2 ft∅ = 15°Arc length = 15/360 × 2π(2)
Arc length = 0.5 ft.
Thus, the length of the arc that is subtended by 15° is: 0.5 ft.
Learn more about the arc length on:
https://brainly.com/question/17329757
Priyanti ate 150 raisins in five days. If she ate 7 more raisins each day than she did the previous day, how many raisins did she eat on
a. the third day?
b. the first day?
Answer:
this means she ate an average of 30 raisins each day
so she ate 30 on the third day
so the amount she ate each day is like this
1. 16
2. 23
3. 30
4. 37
5. 44
16 + 23 +30 +37 +44=150
Answer:
a. 30 b. 16
Step-by-step explanation:
n=number of days
a1= raisins she at on 1st day
d=increase per day
n(a1+an)/2
5(a1+a1+d(n-1))/2=150
5(2a1+4d)=300
d=7, 10a1+20(7)=300
a1+14=30
a1=16
a. a1+2d 16+14=30 b. 16
P(-3,6), Q(-3,-6) and R(6,-2) are the vertices of a triangle. Calculate the perimeter of this triangle.
Answer:
33.89
Step-by-step explanation:
the side lengths are the distances between the corner points of the triangle.
P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.
PQ = 6 - (-6) = 6 + 6 = 12
QR and RP are trickier.
we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.
QR :
QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97
QR = sqrt(97) ≈ 9.848857802
RP :
RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145
RP = sqrt(145) ≈ 12.04159458
the perimeter/circumference of the triangle is the sum of all 3 sides
= 12 + sqrt(97) + sqrt(145) ≈ 33.89
Evaluate each of the following expression giving the answer in scientific notation
Answer:
Step-by-step explanation:
[tex]A) 5.3*10^{4}+4.7*10^{4}= (5.3 + 4.7)*10^{4}=10*10^{4}=10^{5}\\\\\\B) 3.7*10^{6} - 3.3*10^{6}=(3.7-3.3)*10^{6}=0.4*10^{6}=4.0*10^{-1}*10^{6}=4.0*10^{6-1}=4.0*10^{5}\\\\\\C) 4.8*10^{-3}+6.3^{-2}=4.8*10^{-2}*10^{-1}+6.3*10^{-2}\\\\=(4.8*10^{-1} +6.3)*10^{-2}\\\\=(0.48+6.3)*10^{-2}\\\\=6.78*10^{-2}\\\\\\D)6.6*10^{-5}-6.1*10^{-4}=6.6*10^{-1}*10^{-4}-6.1*10^{-4}\\\\=(6.6*10^{-1}-6.1)*10^{-4}\\\\=(0.66-6.1)*10^{-4}\\\\= (-5.44)*10^{-4}[/tex]
How might we know whether x is a positive number, negative number, or zero, without solving the equation?
Please help…………………………
Answer:
Step-by-step explanation:
angle 2 is also 60 degree (being vertically opposite angles)
angle 3 is also 60 degree (being corresponding angles)
angle 4 is also 60 degree (being corresponding angles ) . sice angle 2 is 60 degree and relation between angle 2 and 4 is corresponding angle , angle 4 will also be 60 degree.
harry is a shopkeeper, every month he spends $2000 for running the shop. he sells all the goods at 25% more than its. purchase price. what should be the total sales made by him in a month so that hè can earn a profit of $3000 every month.
A. $12000
B. $15000
C. $20000
D. $25000
Answer:
D i think
Step-by-step explanation:
its just a guess
Which best describes the relationship between the line that passes through the points (1, -6) and (3,-2) and the line
that passes through the points (4, 8) and (6, 12)?
A. parallel
B. neither perpendicular nor parallel
C. same line
D. perpendicular
B neither perpendicular nor parallel
Answer:
B
Step-by-step explanation:
B. neither perpendicular nor parallel
because, the line are not crossing nor are they aside from each other.
an object is kept at a distance of 15 cm from each of the above lens calculate the image distance and magnification o
f first image
Answer:
answer is
Step-by-step explanation:
Object distance (u) = -100cm Focal length (f) = 50cm Image distance = v By lens formula; 1v−1u=1f1v−1u=1f ⇒ 1v−1−100=1501v−1−100=150 ⇒1v=150−11001v=150−1100 ⇒1v=2−1100−11001v=2−1100−1100 v =100cm Hence the image is formed at 100 cm behind the lens. Object distance (u) = -100cm Focal length (f) = -25cm Image distance = v By lens formula;Read more on Sarthaks.com - https://www.sarthaks.com/951256/an-object-is-kept-at-a-distance-of-100-cm-from-each-of-the-above-lenses-calculate-the?show=951265#a951265
Need help with this ASAP! THANKS
Help I don’t understand
Answer:
TV = 18
Step-by-step explanation:
First, we can visualize rotating the triangle ΔTUV 180 degrees to line it up with ΔTRS, as shown in the picture. This makes it easier to visualize which sides correspond to each other. Because UT is parallel to RT, and UV is still parallel to RS (rotating the triangle 180 or 360 degrees does not change this), we know UT is similar to RT and so on.
As the ratio of similar sides are equal in similar shapes, we can say that
RT/UT = TS/TV = RS/UV
One thing to note is that all sides of TRS are on top, while all sides of TUV are on the bottom. Make sure that for all your sides, that the same triangle's sides stay on either the top or bottom.
Given this, and that we want to find TV, we can say that
TS / TV = RS / UV (I didn't use RT/UT because we don't know UT)
27 / TV = 24 / 16
Multiply both sides by 16 to eliminate a denominator
27 * 16 / TV = 24
Multiply both sides by TV to eliminate all denominators
27 * 16 = 24 * TV
Divide both sides by 24 to isolate TV
27 * 16 / 24 = TV
TV = 18
Which equation shows the distributive property? (a) 6 x 3 + 6 x 8 = 6 x (3 + 8) (b) 5 + (22 + 19) = (5 + 22) + 19 (c) 20 x 10 = 10 x 20 (d) 45 + 7 = 7 + 45
help me please
The owner of a produce stand is selling baskets of peaches, priced by the kilogram. She rounded each measurements to the nearest 2 1 start fraction, 1, divided by, 2, end fraction of a kilogram.How much heavier is the heaviest basket than the second heaviest basket?
Answer:
[tex]1\frac{1}{2}kg[/tex]
Step-by-step explanation:
Given
[tex]a = 6\frac{1}{2}[/tex] --- heaviest
[tex]b = 5[/tex] --- second heaviest
Required
The difference (d)
This is calculated as:
[tex]d = 6\frac{1}{2} - 5[/tex]
[tex]d = 1\frac{1}{2}[/tex]
what is the quotient
4/5 ÷ 1/10
Answer:
4/5 ÷ 1/10 = 40/5 as simplified as 8/1 in fraction form.
4/5 ÷ 1/10 = 8 in decimal form.
This calculator, formula, step by step calculation and associated information for fraction 4/5 divided by 1/10 may help students, teachers, parents or professionals to learn, teach, practice or verify such division between two fractions calculations efficiently.
Step-by-step explanation:
hope it helps...
Answer:
8/1
Step-by-step explanation:
4/5 change × 10/1= 8/1 hope helpful answer to your question have a good time to you
Rachel draws a trend line through the following data
points. Did she draw the line correctly?
Answer:
i think its A but im not sure its correct
Step-by-step explanation:
In parallelogram QRST if m∡TQR=50∘ find m∡STQ.
Answer:
[tex] {x }^{o} = {130}^{o} [/tex]
Step-by-step explanation:
[tex] {50}^{o} + {x}^{o} = {180}^{o} [/tex]
[tex] {x}^{o} = {180}^{o} - {50}^{o} [/tex]
[tex] {x }^{o} = {130}^{o} [/tex]
Hope it is helpful....Answer:
x= 130°
Step-by-step explanation:
hope it helps
Add [25+(-13)+(-17) using associative property
Answer:
[25+(-13)+(-17)
25-13-17
-5
helpppppppppoppppppppp
A)
Replace the letters in the given equation with the corresponding values given in the problem:
A = 10,000 x 2.718^(0.05 x 2)
A = 11,051.59 , rounded to nearest dollar = $11,052
B)20,000 = 10000 x 2.718^(0.05 x t)
Divide both sides by 10,000:
2 = 2.718^(0.05 x t)
Apply exponent rules:
0.05tln(2.718) = 2
Solve for t:
t = ln(2) / 0.05ln(2.718)
t = 13.86 years, rounded to nearest year = 14 years.
Answer:
Step-by-step explanation:
Using [tex]A=Pe^{rt[/tex] as instructed, our equation looks like this:
[tex]A=10,000e^{(.05)(2)}[/tex] which simplifies a bit to
[tex]A=10,000e^{.1[/tex] which simplifies a bit more to
A = 10,000(1.10517) so
A = 11,051.71 Easy. Now onto the second part: solving for the number of years it takes for the investment to double. Setting A equal to 20,000 since 20,000 is 10,000 doubled:
[tex]20,000=10,000e^{.05t[/tex] Begin by dividing both sides by 10,000 to get
[tex]2=e^{.05t[/tex] and take the natural log of both sides to get that exponent down out front, keeping in mind that the natural log will "undo" the e, leaving us with:
ln(2) = .05t and
t = 14 years (that's 13.8 rounded up to the nearest year)
HELP PLEASEEEEE!!!!!!
If that answer doesn't work, then try 29 without the percent sign.
============================================================
Explanation:
We know with absolute certainty that the person ordered a hot drink, due to the "given".
This means we only focus on the values in the first row.
There are 5+48+22 = 75 hot drinks ordered. Of that total, 22 hot drinks are large.
The probability of getting a large drink, given it was a hot beverage, is 22/75 = 0.2933 approximately.
This converts to 29.33% and that rounds to 29%
Paul started a company. In the first year, his company built 6 structures. The number of structures that his company built doubled every year.
How many structures did paul’s company built in the 5th year?
A. 90
B. 9
C. 192
D. 186
Answer:
D=186
Step-by-step explanation:
you have to times the number of structures that doubles in a-year so 6×2 then multiply by the years
someone please help me ASAP
Answer:
(x + (2), y - (4))
Step-by-step explanation:
An easy way to figure out how a shape has undergone a ridge transformation (meaning a transformation only in location and not size) is to compare corresponding points on the figure.
In this figure, use point (C) to describe the transformation. Point (C) is located at (-2, 4). However, its corresponding point (C') is located at (0,0). To go from (-2, 4) to (0,0) one has to add (2) units to the (x-coordinate) and subtract (4) units from the (y-coordinate). Therefore, the transformation can be described as the following,
(x + (2), y - (4))
Help me solve this problem please
Answer:
actually what is this is you is this a geometry, trigonometry I don't know what to call
Using the equality of surds theorem, solve this question
In the question solve for a and b
Step-by-step explanation:
76.72135955 is the answer I think So if the answer is correct then plz mark me as brainliest
Factor the answer
8y-16
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]8(y-2)[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Expression:}}\\\\8y-16\\------------------\\\rightarrow 8y-16\\\\\text{8 is a common factor in the terms. Pull out 8 to factor...}}\\\\\rightarrow \boxed{8(y-2)}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
We can not find the answer with with equation since there is no comparison sign. To demonstrate this lets look at a way we could solve this equation.
8y-16=32
8y=48
y=6
Help NOW RIGHT NOW
Gianna bought 6.2 pounds of berries. She used 4.8 pounds of the berries to make a pie. What equation can be used to find how many pounds of berries, b, Gianna has left over? A 6.2 + 4.8 = b
B b − 6.2 = 4.8
C 4.8 + b = 6.2
D b − 4.8 = 6.2
Please please help help please
Answer:
maybe the answer is equal. not sure.
Answer:
The answer is smaller
Step-by-step explanation:
because when we multiply two small ones we get a big one
Find the area and perimeter of the figure on the coordinate system below.
If anyone could help please do.
Answer:
P= 2L+2W+2H
P=2(3)+2(3)+2(3)
=18ft