15 POINTS**
Write an explicit formula an, the nth term of the sequence 27,-3,-33,-63
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)
If 2^2x = 2^3, what is the value of x?
Answer:
x = 3/2
Step-by-step explanation:
2^2x = 2^3
2x = 3
x = 3/2
Express as a trinomial.
Answer:
[tex]x^2+2x+1[/tex]
Step-by-step explanation:
When given the following trinomial,
[tex](x+1)(x+1)[/tex]
Distribute, multiply every term in one of the parenthesis by every term in the other,
[tex](x)(x)+(1)(x)+(1)(x)+(1)(1)[/tex]
Simplify,
[tex]x^2+x+x+1[/tex]
Combine like terms
[tex]x^2+2x+1[/tex]
Answer:
Step-by-step explanation:
Use Foil
f: x * x = x^2
o: x * 1 = x
i: x * 1 = x
l: 1 * 1
x^2 + x + x + 1
x^2 + 2x + 1
Multiply. Round to two decimal places
____ x 14.32 = 554.76
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]_____ x 14.32 = 554.76[/tex]
Let's take '____' as x
[tex]x \times 14.32 = 554.76 \\ x = \frac{554.76}{14.32} \\ x = \frac{554.76 \times 100}{14.32 \times 100} \\ x = \frac{55476}{1432} \\ x = 38.74[/tex]
⎆ The answer of ____ x 14.32 = 554.76 in 2 decimal places will be ⇻38.74
NOTE:
We multiplied the fraction × 100 to remove the decimal points so that it'll be easier to calculate.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.
Answer:
1. 6
2. 6
3. 10
4. 600
Step-by-step explanation:
edg :)
The complete table is given below.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).
The functions are given below.
f(x) = 2x
g(x) = 3x
h(x) = f(x) × g(x) = 6x²
Complete the table with the missing side lengths and areas of the deck.
x f(x) g(x) h(x)
1 2 3 6
2 4 6 24
5 10 15 150
10 20 30 600
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
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!!!
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
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?
Answer:
15.79
Step-by-step explanation:
brainliest answer fast please
Answer:
1/20
Step-by-step explanation:
lcf: 20
1/4- 1/5
1x5/20- 1x4/20
=5-4/20
=1/20
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
Answer:
D. f(x)=x^2
Step-by-step explanation:
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Find the exact circumference of a circle with the given radius.
7 feet
C=
O 771 ft.
1471 ft.
02771 ft.
Answer:
43.98
Step-by-step explanation:
i was doing a problem like that on my math paper as well
An archer hits his target 80% of the time. If he shoots 7 arrows, what is the probability of each event
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.
Drag numbers into the blanks to rewrite the square roots.
square root -5 (it doesnt let me put the symbol. whats the answer?
Answer:
Step-by-step explanation:
for a lot of math classes they just tell you "don't take the square root of a negative number" Then when you see this [tex]\sqrt{-5}[/tex] it looks all wrong. But, just think of the two things under the radical as
[tex]\sqrt{-1*5}[/tex]
now, take the -1 out of the square root as " i "
i[tex]\sqrt{5}[/tex]
and if you want to put it into correct complex form
0 + i[tex]\sqrt{5}[/tex]
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?
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!
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
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
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.)
Answer:
20.7 I hope this is right good luck
NEED HELP ASAP!!!! MATH SUCKS :')
Answer:
I would choose D
Step-by-step explanation:
im sorry if im wrong :( im not good at math..
What is 75.4 in expanded form
Answer: 75.4 =
70
+ 5
+ 0.4
Step-by-step explanation:
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.)
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
Oliva works 4 hours each week more than lily
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
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?
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
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%
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
please help school is literally about to end
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
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
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
kelly will roll a number cube labeled 1 to 6. what is the probability kelly will roll a number greater than 3?
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. ^-^
Trading 10 points for air :)
I'm under I know....
Answer:
what kind of air
Step-by-step explanation:
y is directly proportional to x^3. it is known that =5 for a particular value of x. find the value of y when this value of y when this value of x is multplied by 1/2.
Answer:
The value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is [tex]\frac{5}{8}[/tex].
Step-by-step explanation:
According to the statement, we have the following relationship:
[tex]y = k\cdot x^{3}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]k[/tex] - Proportionality constant.
We can eliminate the proportionality constant by constructing the following relationship:
[tex]\frac{y_{2}}{y_{1}} = \left(\frac{x_{2}}{x_{1}} \right)^{3}[/tex]
If we know that [tex]y_{1} = y[/tex], [tex]y_{2} = 5[/tex], [tex]x_{2} = x_{o}[/tex] and [tex]x_{1} = \frac{1}{2}\cdot x_{o}[/tex], then the value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is:
[tex]\frac{5}{y} = \left(\frac{x_{o}}{\frac{1}{2}\cdot x_{o} } \right)^{3}[/tex]
[tex]\frac{5}{y} = 8[/tex]
[tex]y = \frac{5}{8}[/tex]
The value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is [tex]\frac{5}{8}[/tex].
PLEASE HELP!! STUCK FOR A WHILE
solve for x
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.
