-7,14,-28,56,-112
an = a1(r)^n-1
a4 = -7(-2)^4-1
a4 = -7(-2)³
a4 = -7(-8)
a4 = 56
an = a1(r)^n-1
a5 = -7(-2)^5-1
a5 = -7(-2)⁴
a5 = -7(16)
a5 = -112
#CarryOnLearning
If the measures of two angles of a triangle are 96 and 17°, what is the measure of the third angle
Identify the graph of f(x) = 4^x
Answer:
its the first one/top left
Step-by-step explanation:
Philip runs at an average speed of 4 m/s.
How long will it take Philip to complete a 10 kilometre race? Give your answer in minutes and seconds.
Answer:
41 minutes 40 seconds
Step-by-step explanation:
10km = 10000m
10000/4 = 2500 seconds
2500/60 = 41.6666...
Hence, 41 minutes 40 seconds.
To solve such type of problems in math's we must know the formula related to motion specifically speed. The time taken for Cameron to complete the race is 2500s
What is time of motion?When any object cover a particular distance with particular speed then it takes a particular time and this time is called time of motion. The unit of time can be seconds, minutes or hours.
The time of motion is calculated as follows;
time = distance/speed
As distance is given in kilometer so we need to convert kilometer to meter as our speed is in meter per second, so to cancel out the units we must do the conversion and the substituting the values in the above formula
time = 10000/4
time = 2500s
Thus, the time taken for Cameron to complete the race is 2500s when average speed is 4 m/s
Learn more about time of motion, here:
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At 8p.m., the temperature was -9 degrees Fahrenheit. Over the next five hours, the temperature dropped by 18 degrees. What is the temperature after five hours?
Answer:
-27 if im reading the question right.
Step-by-step explanation
Need help with this
Answer:
A
Step-by-step explanation:
This month you make $3,881 from liquor salesfrom food, and from your gift shop. your monthly sales goal is $25,000, did you meet your goal?
Answer:
No
Step-by-step explanation:
If you add all the sales you do not meet your goal of $25,000
Solve 4x+x+4 = 8x -3x + 4
Answer:
x ∈ R
Step-by-step explanation:
4x+x+4=8x−3x+4
Combine 4x and x to get 5x.
5x+4=8x−3x+4
Combine 8x and −3x to get 5x.
5x+4=5x+4
Subtract 5x from both sides.
5x+4−5x=4
Combine 5x and −5x to get 0.
4=4
Compare 4 and 4.
True
This is true for any x.
x ∈ R
(9/8) to the power of 2; can some give me the answer quick please.
Answer:
(9/8)²=
81/64.
...........................
Please help, you get 20 points for this!
Answer:
2.15 times or 215%
Step-by-step explanation:
V(Luxor) = (646)² · 350/3
V(Tower) = 290 x 125 x 622
V(Luxor) ÷ V(Tower) = 2.15
Nathan has $40 in a savings account. The interest rate is 5% per year and is not
compounded. How much interest will he earn in 1 year?
Use the formulai = prt, where / is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and is the time in years.
Submit
Money with Nathan in his savings account = $40
Rate of interest per annum = 5%
We know that :
[tex]\color{hotpink}\tt \: simple \: interest \color{plum}= \frac{principal \times rate \times time}{100} [/tex]
In this case :
Principal = $40
Rate = 5%
Time = 1 year
Simple interest he will earn in 1 year :
[tex] =\tt \frac{40 \times 5 \times 1}{100} [/tex]
[tex] = \tt \frac{200}{100} [/tex]
[tex]\color{plum} =\tt\$ \: 2[/tex]
Amount = Principal + Interest
Amount Nathan has to pay at the end of one year :
[tex] = \tt40 + 2[/tex]
[tex]\color{plum} =\tt \$42[/tex]
Thus, at the end of 1 year Nathan has to pay $42.
Therefore, simple interest Nathan will earn in 1 year = $2
What is the slope of a line that passes through the points (-2, 4) and (-6, 12)?
O-2
○
0
열
2
02
Answer:
[tex]\displaystyle m=-2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, 4)
Point (-6, 12)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{12-4}{-6+2}[/tex][Slope] [Fraction] Subtract/Add: [tex]\displaystyle m=\frac{8}{-4}[/tex][Slope] [Fraction] Divide: [tex]\displaystyle m=-2[/tex]Gabby sells candy bars for $ 1 dollar each, and Twizzlers for 25 cents each. For every dollar she earns she gives 10 cents to charity. If She sells 42 candy bars and 45 Twizzlers, how much money will she have for herself after giving to charity? Write an expression and evaluate.
Answer:
$47.925 for herself.
Step-by-step explanation:
Answer:
Step-by-step explanation:
42+11.25 =52.35
52.35*.10
5.235$
I hope this is the right answer
pls help :(
more than one answer btw
Answer:
A, C, E
Step-by-step explanation:
hope this helps!
Answer:
I think it is A, C, E
Step-by-step explanation:
Can someone help me with this in
Answer:
Step-by-step explanation:
Solve.
The number line shows xx
3
ODIO
AN
1
a.
Each fourth on the number line is divided into
how many equal parts?
b. Each of these parts is what fraction of the whole?
C.
How many eighths of the whole are shaded?
d. -
X
Step-by-step explanation:
answer for d is 3 over 8....
that's all I know from the qn and can help u... sorry
What is the probability of drawing an even numbered card from a standard deck of shuffled cards?
A) 20/52
B) 25/52
C) 30/52
D) 35/52
Answer:
Prob = 20/52
Step-by-step explanation:
There are 5 even number cards per suit: 2, 4, 6, 8, and 10.
and there are 4 suits in a deck, so the total of the even number card events is 5 * 4 = 20
Given that the deck has 52 cards total, then the probability of drawing an even numbered card is the number of successes (20) divided the number of total cards (52) This gives:
Prob = 20/52
which agrees with answer A) in your list.
HELP ASAPPPPP I WILL GIVE BRAINLIST
Answer:
Step-by-step explanation:
Count all writing utensils which is 16, then jus count the number of pencils
Answer:
5:16 because she has 5 pencils and a total of 16 writing utensils
Step-by-step explanation:
I don’t understand, help me out
Answer:
a. 76 b. 52
Step-by-step explanation:
The perimeter of a rectangle is the sum of its four sides.
Now all rectangles have a width and a length.
To find the perimeter it is 2 width + 2 length or 2W +2L.
So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L
Then...
2(76) + 2L = 344 multiply 2 and 76
2L + 152 = 344 subtract 152 from both sides
2L = 192 divide both sides by 2
L = 96
The length is 96.
The equation of an area of a rectangle is A or area = width x length or W x L
So the equation is A = W x L
If the area is 4732 and the length is 91 then
91W = 4732 divide both sides by 91
W = 52
The width is 52.
Hope that helps, good luck with your homework!
y = - 4x y = 2x - 1
which method is the best to solve this
Answer:
get all the varibles on one side
Step-by-step explanation:
mark me as brainliest plz thx
Taylor completed 2/3 of her homework. Riian completed 7/8 of her homework. Taylor and Riian have the same amount of homework. Who completed a greater amount of homework?
Answer:
Riian completed a greater amount of homework.
Step-by-step explanation:
The fraction 7/8 is greater than the fraction 2/3.
f(x) = ( - 3x² + 2 – 2)e". Find f'(x) and f''(x).
f'(2) =
f''(c)
=
Answer:
-3x²-5xeˣ-eˣ
-3eˣx²-11eˣx-6eˣ
Step-by-step explanation:
I'm going to go by the picture and not what you wrote in your title.
To find the derivative of this we have to apply the product rule
(a*b)'=
a'*b+a*b'
We plug in our numbers and get
(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'
Now we can evaluate the derivatives and simplify
(-3x²+x-2)'= -6x+1
eˣ'=eˣ
which means we have
(-6x+1)*eˣ+(-3x²+x-2)*eˣ
Simplify
-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ
Combine like terms
-3x²eˣ-5xeˣ-eˣ
Now we just need to find the derivative of this
We can apply the same product rule as we did before
(-3x²eˣ)'
Let's start by factoring out the -3 to get
-3(x²eˣ)'
which is equal to
-3(x²eˣ'+x²'eˣ)
Compute this and get
-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ
Now let's find the derivative of the second part
(-5xeˣ)'
-5(x'eˣ+xeˣ')
-5(eˣ+xeˣ)
-5eˣ-5xeˣ
Which means we have
(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ
Combine like terms and get
-3eˣx²-11eˣx-6eˣ
4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
Using the distributive property what is 5(2y +1) in simplest form?
Answer:
5(2y +1)
Step-by-step explanation:
simplest form =10y+5
a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse
Answer:
The power of horse is: P = 72000 W
Step-by-step explanation:
Given
F = 1800 Nv = 40.0 m/sTo determine
P = ?
Using the formula
[tex]\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}[/tex]
The ⋅ in the formula represents a scalar product, defined by:
[tex]\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta[/tex]
The angle Ф is zero because F and v are are parallel.
Thus the cosine is 1.
Therefore,
P = (1800) (40.0)
P = 72000 W
Hence, the power of horse is: P = 72000 W
Ahmed uses the greatest common factor and the distributive property to rewrite this sum:
99 + 66
Answer:
165
Step-by-step explanation:and if u add them together and line them up correctly you will get the answer
11(9 + 6) will be the greatest common factor and the distributive property to rewrite this sum as 99 + 66.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given that,
⇒ 99 + 66
The highest common factor among both is 15
⇒ 11(9 + 6)
Hence " 11(9 + 6) will be the greatest common factor and the distributive property to rewrite this sum as 99 + 66".
To learn more about expression,
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do yall know what 81 ➗ 918 =
if yall know ill give brainleist
A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 92.4% for the medical students admitted through special programs.
Required:
a. If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated.
b. If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated.
c. Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?
Answer:
a) 0.7696 = 76.96% probability that at least 11 of them graduated.
b) 0.0474 = 4.74% probability that exactly 9 of them graduated.
c) Since 9 is less than 2.5 standard deviations from the mean, it would not be unusual.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they graduated, or they did not. Each student is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Unusual outcome:
An outcome in the binomial distribution is unusual if it is more than 2.5 standard deviations from the mean.
92.4% for the medical students admitted through special programs.
This means that [tex]p = 0.924[/tex]
a. If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated.
This is [tex]P(X \geq 11)[/tex] when [tex]n = 12[/tex]. So
[tex]P(X \geq 11) = P(X = 11) + P(X = 12)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 11) = C_{12,11}.(0.924)^{11}.(0.076)^{1} = 0.3823[/tex]
[tex]P(X = 12) = C_{12,12}.(0.924)^{12}.(0.076)^{0} = 0.3873[/tex]
[tex]P(X \geq 11) = P(X = 11) + P(X = 12) = 0.3823 + 0.3873 = 0.7696[/tex]
0.7696 = 76.96% probability that at least 11 of them graduated.
b. If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated.
This is P(X = 9). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{12,9}.(0.924)^{9}.(0.076)^{3} = 0.0474[/tex]
0.0474 = 4.74% probability that exactly 9 of them graduated.
c. Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?
The mean number of students expected to graduate is:
[tex]E(X) = np = 12*0.924 = 11.09[/tex]
The standard deviation is
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{12*0.924*0.076} = 0.92[/tex]
11.09 - 2.5*0.92 = 8.79
This means that anything below 8.79 is unusual, so, since 9 is less than 2.5 standard deviations from the mean, it would not be unusual.
The height of a building is 956 feet, which is about 479 feet higher than another building. What is the height of the second building?
The second building has a height of feet
Help ASAP I’ll mark brainliest
Answer:
C. 254
Step-by-step explanation:
There are 3 different types of engineers listed in the chart, Electrical, Chemical, and Mechanical. Under the first column of math, add together the numbers for all three engineers.
85+80+89= 254
Therefore, 254 engineers chose math as their favorite subject.
help me me me me pls
Answer:
"C" is the answer to that question
Answer:
C
Explanation:
Because I say so