Answer: h(x) = 3^(-x/4)
Step-by-step explanation:
If we have a function f(x), an horizontal stretch of scale factor k is written as:
g(x) = f(x/k)
So, if we have the function f(x) = 3^x
A horizontal stretch of scale factor 4 is:
g(x) = f(x/4) = 3^(x/4)
Now we have a reflection across the y-axis
If we have a function f(x), a reflection across the x-axis is written as:
g(x) = f(-x)
Then if now we apply a reflection across the y-axis to the function g(x), we have:
h(x) = g(-x) = 3^(-x/4)
Then the transformation that we wanted is:
h(x) = 3^(-x/4)
Question: Use what you know about right triangle similarity to find the value of the variable in the diagram below. When applicable leave answers in simplest fraction and/or simplest radical form.
hii! how are you? hope you're having a good day! (: i wish you the best. <3 stay strong and stay safe! x
Please do not send links you will be reported and removed. What is this answer in feet please
Answer:
16.2 feet
Step-by-step explanation:
Reference angle = 62°
Opposite = x
Adjacent = 8.6
Apply trigonometric function, TOA:
Tan 62 = Opp/Adj
Tan 62 = x/8.6
8.6 × Tan 62 = x
16.1742476 = x
x = 16.2 ft (nearest tenth)
You invested S3000 between two accounts paying 4% and 8% annual interest respectively if the total interest eamed for the year was S520 how much was invested at each ratė? was invested at 4% and so was invested at se
Answer:
Even investing the $ 3,000 in the account at 8%, the result would be an annual interest of $ 240, with which there is an error in the wording of the question.
Step-by-step explanation:
Given that you invested $ 3000 between two accounts paying 4% and 8% annual interest respectively, to determine how much was invested at each rate if the total interest eamed for the year was $ 520, the following calculation must be performed:
3000 x 0.04 + 0 x 0.08 = 120
1500 x 0.04 + 1500 x 0.08 = 180
3000 x 0.08 + 0 x 0.04 = 240
Thus, as can be seen, even investing the $ 3,000 in the account at 8%, the result would be an annual interest of $ 240, with which there is an error in the wording of the question.
If it take Jon 10 minutes to go to work going 27 miles/ hr how long will it take him going 40 miles per hour
Answer:
I think its 6.75
Step-by-step explanation:
How much will a shopper save on a TV that is on sale for 25% off the regular price of $399.99
Answer:
299.25
Step-by-step explanation:
Im pretty sure this is correct!!
Answer:
$100
Step-by-step explanation:
399.99 * 0.25 = 99.9975 (100)
399.99 - 100 = 299.99
$299.99 = Cost after discount
Find the following
(u•w)(2)=
(w•u)(2)=
Step-by-step explanation:
substitute 2 into x
1. (u ○ w)(2)
u(w(x))
= 4(-5x+1)+2
= 4(-5.2+1)+2
= 4(-9)+2
=-34
2. (w ○ u)(2)
w(u(x))
= -5(4x+2)+1
= -5(4.2+2)+1
= -5(10)+1
= -49
A solid sphere is cut into 8 equal wedges. The volume of each wedge is
V= dor? Solve the formula for r.
O A. r =
6V
B. r = 6V – 7
O c. r= = v
OD. r= 16V (11)
Answer:
A) r=∛(6v)/[tex]\pi[/tex]
Step-by-step explanation:
v=1/6[tex]\pi[/tex]r³
v÷1/6=[tex]\pi[/tex]r³
(when dividing by a fraction, invert and multiply)
6v=[tex]\pi[/tex]r³
6v÷[tex]\pi[/tex]=r³
(6v)/[tex]\pi[/tex]=r³
take the cube root of both sides
∛(6v)/[tex]\pi[/tex]=∛r³
∛(6v)/[tex]\pi[/tex]=r
HELP QUICK
In the diagram of AADC below, EB|| DC, AE=7, ED=35, and AB=10. What is the
length of AC?
A
N
10
E
B
35
Answer:
60
Step-by-step explanation:
7/10=35/x
7x=350
x=50
AC=50+10=60
If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours
Answer:
28
Step-by-step explanation:
Cuz there are twice as many workers so it will take twice as less time
PLEASE HELP WILL GIVE BRAINLIST
please help, thanks if you do. (WILL MARK)
Answer: n-6p^2 + 2np
Hope this helps!
Step-by-step explanation:
What is the vertex of f(x) = 2(x + 3) - 4?
Answer:
x=-1
Step-by-step explanation:
What is 34% as a fraction
Answer:
17/50
Step-by-step explanation:
34%=17/50
Answer:
17/50
Step-by-step explanation:
make sure to wear your mask in public!
drink enough water! <3
Connie’s kindergarten class has 24 children. She wants them to get into 4 equal groups. How many children will she put in each group?
Answer:
six children
Step-by-step explanation:
six children in four groups, total of 24 children
24/4=6
Answer:
6
Step-by-step explanation:
because 24÷4=6 that is the answer
These tables show equivalent ratios. The value missing in each table is replaced with X. Choose ALL tables in which 12 replaces X.
(please answer)
POINT:20 ( it's all yours just help and you can have it )
Answer:
The answer is A and B
Step-by-step explanation:
I got it straight from USA test prep
Frank is organizing his movie collection. He sees that 7 of his 25 movies are comedies. What percent of frank's movies are comedies?
Answer:
Step-by-step explanation:
if Frank has 25 movies and 7 are comedies
25 movies...........................100%
7 comedies represents........?%
=(7*100)/25=28% are comedies
Don’t understand pleaee help
Step-by-step explanation:
maybe check khan if the app dosent help khan academy
The calories I burn walking can be modeled by the function y = 5x + 100,
with x representing the number of minutes spent walking. How many
calories would I burn if I walked for 75
minutes?
Answer:
X=75
Y=5X+100
Y=5*75+100
Y=375+100
Y=475
Therefore, you burnt 475 calories if you walked for 75 minutes
Y=-2x^2+16x-35
Axis of Symmetry?
Answer:
Step-by-step explanation:
y=-2x²+16x-35
=-2(x²-8x+16-16)-35
=-2(x²-8x+16)+32-35
=-2(x-4)²-3
axis of symmetry is x-4=0
or x=4
Answer:
y=2x^2+16x-35
a=2, b=16
x= -[tex]\frac{16}{2x2}[/tex]
x=-4
State the x- and y-intercept of the line defined by the function-1/4x+4y=2
Answer:
The y-intercept is (0, 1/2)
The x-intercept is (0, -8)
The time it takes to charge the battery of a cell phone is directly proportional to the charge of the battery.
The equation, y = 0.21x, is used to approximate the time it takes to charge the battery of a cell phone.
Cell Phone Battery Charge
100
70
60
Bettery Charge (%)
SON
40
BO
20
NON
Time (AM)
Approximate how long it will take the battery to charge to 100%.
4 hours
7 hours
6 hours
5 hours
Please help me
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 53 bolts. The sample mean bolt length was 11.08 centimeters. The population standard deviation is known to be 0.21 centimeters.
What is the test statistic?
What is the -value?
Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of 0.01?
Using the t-distribution, it is found that:
The test statistic is t = 2.77.The p-value is of 0.0039.Since the p-value is less than 0.01, sufficient evidence exists that the length of bolts is actually greater than the mean value at a significance level of 0.01.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 11 cm, that is:
[tex]H_0: \mu = 11[/tex]
At the alternative hypotheses, it is tested if the mean is greater than 11 cm, hence:
[tex]H_1: \mu > 11[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.For this problem, the values of the parameters are given as follows:
[tex]\overline{x} = 11.08, \mu = 11, s = 0.21, n = 53[/tex]
Hence the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{11.08 - 11}{\frac{0.21}{\sqrt{53}}}[/tex]
t = 2.77.
Using a calculator, with t = 2.77 and 53 - 1 = 52 df, the p-value is of 0.0039.
Since the p-value is less than 0.01, sufficient evidence exists that the length of bolts is actually greater than the mean value at a significance level of 0.01.
More can be learned about the t-distribution at https://brainly.com/question/13873630
#SPJ1
Mrs. Via needs to buy
grass seed for her yard. She drew a diagram
of her yard. Each square represents 1 square
yard. Five pounds of seed is enough to plant
100 square yards of grass. Grass seed is sold in
2-pound bags. How many bags of grass seed
does Mrs. Via need?
Answer:
Step-by-step explanation:
Via needs 2 1/2 bags of grass seed
The number of bags of grass seed that Amanda should use to spread her yard is 16.65 bags, meaning she needs to buy not more than 17 bags, using mathematical operations.
What are mathematical operations?The basic mathematical operations we use are subtraction, addition, division, and multiplication.
In this situation, we use the division operation.
The division operation involves four parts:
The dividend (numerator or the number being divided).
The divisor (denominator or the number dividing).
The quotient (the result of the division operation).
The equal symbol (that shows that two values are equal).
The area of the yard = 4,995 ft²
1 yard = 3 feet
Area of the yard = 1,665 square yards(4,995/3)
The number of bags per 100 square yards = 1 bag
For 1,665 square, the number of bags = 16.65 bags (1,665 ÷ 100)
Thus, Amanda requires 16.65 bags of the grass seed for her yard.
Learn more about mathematical operations at brainly.com/question/20628271
#SPJ2
complete question:
Amanda is spreading new grass seed on her yard. The area of her yard is 4,995 square feet. The instructions on the bags of grass seed say that one bag of seed should be used for every 100 square yards. How many bags of grass seed should Amanda use?
Group of answer choices
Question 27
27. If an increase in one quantity brings about a corresponding decrease in the
other and vice versa, then the two quantities vary
a) sometimes directly and sometimes inversely b) directly
c) inversely d) none of these
ОА
Ов
Ос
OD
Answer:
c) inversely
Step-by-step explanation:
In Mathematics an inverse relationship can be defined as a relationship between two variables, in which an increase in the value of one variable leads to a decrease in the value of the other variable i.e as the value of one variable becomes large, the value of the other variable becomes small.
Mathematically, an inverse relationship is given by the formula;
A = K/B
Where;
A and B are the variables.
K is the constant of proportionality.
Hence, if an increase in one quantity brings about a corresponding decrease in the other and vice versa, then the two quantities vary inversely.
Please anyone help me on this
Answer:
y=-1/4x+21/4
Step-by-step explanation:
Slope=-2/8=-1/4
y=-1/4x+b
4=-1/4(5)+b
4=-5/4+b
5.25=b
21/4=b
Please answer this correctly correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Find the area of the trapezoid.
Recall : (b + b) h
Answer:
36 Sq cm
Step-by-step explanation:
Area of the trapezoid
[tex] = \frac{1}{2} \{8 + (4 + 8 + 4) \} 3\\ \\ = \frac{1}{2} \{8 + 16 \} 3\\ \\ = \frac{1}{2} \times 24 \times 3\\ \\ = 12 \times 3 \\ \\ = 36 \: {cm}^{2} [/tex]
Find the circumference of the circle.
Answer:
Last box
Step-by-step explanation:
The circumference is 2πr. They tell you that r = 9, so the answer is 18π = [tex]18 * 3.14 = 56.25[/tex] which is closest to the last box (56.52)
What is the answer for 5 × (-2w - 4)
Answer: -10w-20
Step-by-step explanation:
Because the number is in front of the bracket you have to times everything inside the bracket by the number on the outside.
5x-2w= -10w (you would basically do 5x-2 which is -10 then put the w on the end of it).
5x-4= -20
Then put it together so -10w-20
The slop for (1,5) and (4,11)?
Hey there!
The formula is: y2 - y1 / x2 - x1
y2 = 11
y1 = 5
x2 = 4
x1 = 1
Equation: 11 - 5 / 4 - 1
11 / 5 = 6
6 / 4 - 1
4 - 1 = 3
6/3 = 2
Answer: 2 ☑️
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
