Answers
Answer:
(2) 12√5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
g(x) = 4√x
g(45) is x = 45 for function g(x)
Step 2: Evaluate
Substitute in x [Function g(x)]: g(45) = 4√45Simplify: g(45) = 4(3√5)Multiply: g(45) = 12√5Related Questions
If 2^2x = 2^3, what is the value of x?
Answers
Answer:
x = 3/2
Step-by-step explanation:
2^2x = 2^3
2x = 3
x = 3/2
At a local basketball game, all tickets are the same price and all souvenirs are the same price. Mr. Smith bought 2 tickets to this basketball game and 1 souvenir for
a total of $17.25. Ms. Lockhart bought 5 tickets to the same game and 2 souvenirs
for a total of $42.00. How much was a ticket to this game?
Answers
Answer:
the answer will be 7.50
Step-by-step explanation:
brainliest answer fast please
Answers
Answer:
1/20
Step-by-step explanation:
lcf: 20
1/4- 1/5
1x5/20- 1x4/20
=5-4/20
=1/20
Lauren took her cat Tommy to the veterinarian, who said
that at 22 pounds, Tommy was overweight. The vet put
Tommy on a diet, and two months later, the cat weighed
19 pounds. What was the percent of change in Tommy's
bodyweight?
Answers
Answer:
15.79
Step-by-step explanation:
How many quarters are there in 57
Answers
Answer:
228 quarters in $57
2 quarters in 57 cents
Step-by-step explanation:
Dwane has a collection of stamps. He arranges them in 5 rows with 6 stamps in each row. 25 of the stamps are a rare edition. How many rare edition stamps does Dwane have?
Answers
Answer:
Dwane has 25 rare edition stamps, or 5/6.
Step-by-step explanation:
The question is basically answered in the problem.
It says, "25 of the stamps are a rare edition."
And the question is, "How many rare edition stamps does Dwane have?"
So, 25 is the answer.
Hope this helps!
At a city council meeting, there 101 people present, and 66 were elderly.
If you talked to six random people there, what is the percent chance that exactly three is elderly? (Round
to the nearest hundredth of a percent.)
Answers
Answer:
23.63% chance that exactly three is elderly
Step-by-step explanation:
The people are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
101 total people means that [tex]N = 101[/tex]
Sample of 6 means that [tex]n = 6[/tex]
66 elderly means that [tex]k = 66[/tex]
If you talked to six random people there, what is the percent chance that exactly three is elderly?
This is P(X = 3). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,101,6,66) = \frac{C_{66,3}*C_{35,3}}{C_{101,6}} = 0.2363[/tex]
0.2363*100% = 23.63%
23.63% chance that exactly three is elderly
The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars yields a mean weight of 55.82 gm.
(a) State the hypotheses to test whether the mean is smaller than it is supposed to be.
(b) What is the test statistic?
(c) At α = .05, what is the critical value for this test?
(d) What is your conclusion?
Answers
Answer:
|z(s)| < |z(c)|
Then z(s) is in the acceptance region we accept H₀.
We don´t have evidence to support that candy bar mean weight is below 56 gm
Step-by-step explanation:
Goal mean μ = 56 gm
standard deviation σ = 0,77
From random sample:
mean x = 55,82
sample size n = 49
We assume a normal distribution ( is a manufacturing controlled process)
a) Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x < μ
Alternative hypothesis is telling us that the test is a one-tail test to the left
as n > 30 we use the normal distribution.
b) z(s) = ( x - μ ) / σ / √n
z(s) = 55.82 - 56 ) * 7 / 0,77
z(s) = 0,18*7/0,77
z(s) = - 1.6363
c) if significance level is α = 0.05 then α/2 = 0,025
Then from z table, z score for 0,025 z(c) = -1.96
d) Comparing z(c) and z(s) modules
|z(s)| < |z(c)|
Then z(s) is in the acceptance region we accept H₀.
We don´t have evidence to support that candy bar mean weight is below 56 gm
What is the slope of a line perpendicular to the line whose equation is 2x + 2y = 28. Fully simplify your answer.
Answers
Change equation to y= mx+b format
2y=-2x+28
Divide everything by 2
y=x+14
The slope of the line perpendicular to above equation is -1
Or
y=-x+14
Pls, help!!!
In 1846 the depth of the river was 5 feet deep.
In 1847 it dropped to 4.3 feet.
This year, 1848, it rose to 6 feet.
Find the percent change from EACH CHANGE
Answers
First, 5 to 4.3 feet, to make it a bit easier, let’s multiply by 2, now we have 10 and 8.6. Since 8.6 - 10 = -1.4, the river dropped 14% in 1846-1847.
Second, we will find the change from 4.3 to 6, and 6 - 4.3 = 1.7, but we need to multiply it by 1.66…7, which approximately equals a 28.32% gain. Hope this helped ☺️
PLEASE HELP QUICK!!
Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells. Which of the following is true in regards to Rachel's weekly paycheck?
A. $100 in clothing sales gives Rachel a $250 paycheck
B. $1,100 in clothing sales gives Rachel a $260 paycheck
C. $4,200 in clothing sales gives Rachel a $420 paycheck
D. $16,000 in clothing sales gives Rachel a 1,450 paycheck
Answers
Answer:
A-false B-true C-false D-false
Step-by-step explanation:
We just have to calculate a lot!
A.
100*10%=10
10+150=160
NOPE
B
1100*10%=110
110+150=260
YUP
C
4200*10%=420
420+150=570
NOPE
D
16000*10%=1600
1600+150=1750
NOPE
NEED HELP ASAP!!!! MATH SUCKS :')
Answers
Answer:
I would choose D
Step-by-step explanation:
im sorry if im wrong :( im not good at math..
please help school is literally about to end
Answers
Answer:
192 is the answer
Step-by-step explanation:
Answer:
SA = 272 sq in
Step-by-step explanation:
SA = 2(8 x 2) + 2(8 x 12) + 2(2 x 12)
= 2(16) + 2(96) + 2(24)
= 32 + 192 + 48
= 272 sq in
Natalie draws an acute triangle.
Which attributes describe her triangle?
Select each correct answer.
one right angle
exactly one acute angle
polygon
exactly three acute angles
three straight sides
exactly 2 acute angles
I will give brainliest!!!
Answers
find the product of the complex numbers.express your answer in trigonometric form
z1=7(cos15°+isin15°) z2=2(cos110°+isin110°)
Answers
The product of the complex number z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°) is z₁z₂ = 14(cos(125) + isin(125)]
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°)
z₁z₂ = (7 * 2)[cos(15 + 110) + isin(15 + 110)]
z₁z₂ = 14(cos(125) + isin(125)]
The product of the complex number z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°) is z₁z₂ = 14(cos(125) + isin(125)]
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
17 students said they enjoy summer the most.
4 of the girls said they enjoy winter.
The ratio between boys and girls is 8 : 11.
The probability of picking a student at random who enjoys Summer is 38
Twice as many of the girls chose summer over spring.
7 boys chose summer.
Autumn was chosen by 3 more boys than girls.
The probability of picking a boy at random who chose spring is 18.75%
Answers
Answer:
Step-by-step explanation:
17 students chose summer, 7 boys
Girls that chose summer= 17-7=10
Twice Girls chose summer over spring= 10÷2 =5
5 Girls chose spring, 4 Girls enjoy winter
An important problem in industry is shipment damage. A electronics distribution company ships its product by truck and determines that it cannot meet its profit expectations if, on average, the number of damaged items per truckload is greater than 12. A random sample of 12 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.64. Select a 99% confidence interval for the true mean of damaged items.
a) [48.26, -30.02]
b) [10.67, 11.93]
c) [-0.6285, 0.6285]
d) [10.69, 11.91]
e) [11.37, 12.63]
f) none of the above
Answers
Answer:
the answer is b) (10.67,11.93)
Step-by-step explanation:
hope this helps
Write the coordinates of the vertices after a translation 9 units left and 5 units down.
10
Answers
15 POINTS**
Write an explicit formula an, the nth term of the sequence 27,-3,-33,-63
Answers
Answer:
The nth term is 27 - 30(n-1) or can be simplified to 57 - 30n.
Step-by-step explanation:
This is an arithmetic sequence (ie. each term equals the previous term with a constant value added (or subtracted from it)
T1 = 27
T2 = -3 = T1 - 30 = 27 - 30
T3 = -33 = T2 -30 = 27 -30 - 30=27-30X(2)
T4= -63 = T3 - 30 =27-30X(2)-30=27-30X(3)
In general, the nth term of this sequence:
S(n) = 27 - 30X(n-1)
Oliva works 4 hours each week more than lily
Answers
Answer:
12 hours
Step-by-step explanation:
First it’s every 2 weeks so divide by 2 to find 1 week and get 16 hours a week then subtract 4 hours cause olivia works 4 more per week and u get 12 hours so Lily works 12 hours a week ;)
sorry if wrong have a good day/night
may i please have a branllest
Which OF THESE IS THE QUADRATIC PARENT FUNCTION!?!
A. f(x)=x
B. f(x)2^×
C. f(x)=lxl
D. f(x)=x^2
Answers
Answer:
D. f(x)=x^2
Step-by-step explanation:
What is the slope of the two points (-20,-4), (-12,-19)
Answers
Hope that helped
PLEASE HELP!! STUCK FOR A WHILE
solve for x
Answers
Hence
(5)= 2+x^2
X^2 = 5-2
X^2 = 3
X = 1.732
Find the exact circumference of a circle with the given radius.
7 feet
C=
O 771 ft.
1471 ft.
02771 ft.
Answers
Answer:
43.98
Step-by-step explanation:
i was doing a problem like that on my math paper as well
kelly will roll a number cube labeled 1 to 6. what is the probability kelly will roll a number greater than 3?
Answers
Answer:
%50
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex], 50%, or 0.5.
Step-by-step explanation:
Well, there are six possible outcomes, and we are looking for the probability of getting a number greater than three. There are three possible outcomes of getting a number greater than three, which makes the probability of getting the desired outcome look somewhat like the following fraction:
[tex]\frac{3}{6}[/tex] (or simplified, [tex]\frac{1}{2}[/tex])
Anyways, now that we have the outcome in the form of a fraction, we can convert it to percent (50%) or decimal form (0.5).
Hope this wasn't too complicated! Feel free to let me know in the comments if you want me to elaborate. ^-^
An archer hits his target 80% of the time. If he shoots 7 arrows, what is the probability of each event
Answers
Answer:
The probability is that he hits 5.6 out of 7 attempts.
Step-by-step explanation:
Given that an archer hits his target 80% of the time, if he shoots 7 arrows, to determine what is the probability of each event, the following calculation must be performed:
7 x 80/100 = X
560/100 = X
5.6 = X
Therefore, the probability is that he hits 5.6 out of 7 attempts.
Point Q is the center of dilation. Rectangle H I J K is dilated to create rectangle H prime I prime J prime K prime. The length of H prime I prime is 32 inches. The length of I prime J prime is 24 inches. Sylvia enlarged a photo to make a 24 x 32 inch poster using the dilation DQ,4. What are the dimensions, in inches, of the original photo? 3 × 8 6 × 8 12 × 16 18 × 24
Answers
Answer:
it is 6 x 8
Step-by-step explanation:
100%
The dimensions, in inches, of the original photo are 6 x 8.
We have given that,
Point Q is the center of dilation.
Rectangle H I J K is dilated to create rectangle H prime I prime J prime K prime.
The length of H prime I prime is 32 inches. The length of I prime J prime is 24 inches.
Sylvia enlarged a photo to make a 24 x 32-inch poster using the dilation DQ,4.
We have to determine the dimensions, in inches, of
the original photo 3 × 8 6 × 8 12 × 16 18 × 24
What is the dimension?
Dimensions in mathematics are the measure of the size or distance of an object or region of space in one direction.
The dimensions, in inches, of the original photo is 6 x 8.
To learn more about the dimension visit:
https://brainly.com/question/26740257
#SPJ5
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answers
y = -2x + 11
step-by-step explanation:
counting rise/run you will find the slope is -2
using this rule 11 would be the y-intercept
making it into y = mx + b
y = -2x + 11
An airplane flies at an altitude of 6 miles toward a point directly over an observer. Consider and x as shown in the figure.
(a) Write as a function of x.
(b) Find when x = 11 miles and x = 4 miles. (Enter your answers in radians rounded to two decimal places.)
Answers
Answer:
20.7 I hope this is right good luck
One of the legs of a right triangle measures 10 cm and its hypotenuse measures 17 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
=13.74772708
= 13.7 the nearest tenth
