Considering the climate of the North Pole, Alaska, we have seen that the change in the Temperature is 13°F and 14 °F respectively on the 1st and last day of the month respectively.
How to calculate the change in temperature?
From records, we know that Alaska usually has an average low temperature of 9°F and an average high temperature of 22°F in January.
However In February, Alaska's temperature usually ranges from an average low temperature of 12°F to an average high temperature of 26°F.
Thus, we can find the change in Temperature:
On 1st day of January , the Change in temperature is;
ΔT = Highest Temperature - lowest temperature
ΔT = 22°F - 9°F
ΔT = 13°F
On the 1st day of February, and then the last day of January, the change in temperature is;
ΔT= Highest Temperature - lowest temperature
ΔT = 26°F - 12°F
ΔT = 14 °F.
The hardest part will be to take take care of the animals since most of the animals only require a warm, secure, as well as protected area to reside in addition to sufficient food, drink, and exercise.
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An arithmetic sequence is given below.
7, 13, 19, 25,
the
Write an explicit formula for the n'th term
a’n
Hello,
I hope you and your family are doing well!
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. In this case, the difference between consecutive terms is 6, so the common difference is 6.
The explicit formula for the nth term of an arithmetic sequence with first term a1 and common difference d is:
a_n = a1 + (n-1)d
Plugging in the values from the given sequence, we have:
a_n = 7 + (n-1)6
This is the explicit formula for the nth term of the arithmetic sequence.
For example, if you want to find the fifth term of the sequence, you would plug in n = 5:
a_5 = 7 + (5-1)6 = 7 + 4*6 = 7 + 24 = 31
So the fifth term of the sequence is 31.
---
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a boat leave a dock and sails 8 km north and then 13 km east how far is the boat from the dock
write an equation of a line perpendicular to the given equation using the given point given (8,2): x = -4
The equation of line passes through the point (8, 2) will be;
⇒ y = 1/4x
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (8, 2).
And, The slope of perpendicular line is,
⇒ m = - 4
Now,
Since, The equation of line passes through the point (8, 2).
So, We need to find the slope of the line.
Since, The product of slope of the perpendicular line is - 1.
Hence, Slope of the line is,
m = - 1/- 4
m = 1/4
Thus, The equation of line with slope 1/4 is,
⇒ y - 2 = 1/4 (x - 8)
⇒ y - 2 = 1/4 (x - 8)
⇒ y - 2 = 1/4x - 2
⇒ y = 1/4x
Therefore, The equation of line passes through the point (8, 2) will be;
⇒ y = 1/4x
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2(log 2x − log y) − (log 3 + 2 log 5)
Answer:
.................=/
Step-by-step explanation:
suppose you were hired to conduct a study to find out which of four brands of soda college students think taste better. in your study, students are given a blind taste test. you randomly divide your sample of students into one of four groups, with one fourth of the students tasting each drink. the ratings are given on a scale of 1 (awful) to 5 (delicious). which type of hypothesis test would be the best to compare these ratings?
The type of hypothesis test would be the best to compare these ratings are that it is sample test.
The Independent Samples t Test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different.
The Independent Samples t Test is a parametric test. This test is also known as: Independent t Test.In independent samples (or unpaired sample), the values come from two or more different groups. For example, if the group of men and the group of women are asked about their income, independent samples exist. In this case, a person from one sample cannot be assigned to a person from the other sample
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Write a story or situation that can be represented by the given equation.
4a + 5=12a − 11
story that represented equation, Maria, who liked cookie packages, did the arithmetic and discovered that the price of 4 cookie packages plus $5 is equivalent to the price of 12 cookie packages less $11.
What is a equation?A mathematical equation is a formula that connects two expressions with the equal sign = to express equality.
As a fan of cookie packages, Maria did the math and found that the cost of 4 packages of cookies + $5 is equal to the cost of 12 packages of cookies less $11.
[tex]'a'[/tex] represents the expense of a box of cookies,
On one side of the equation, we have the 4 packages of cookies plus $5.
[tex]4a + 5[/tex]
additionally, the 12 packages of cookies less 11 dollars on the other side of the equation.
[tex]12a - 11[/tex]
Now,
[tex]4a + 5 = 12a - 11[/tex]
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if my annual fee is $37,000 a year and i get a 5% raise every year what would be my annual salary in 14 years
Answer: $62900
Step-by-step explanation:
Find 5% of 37000 by taking 37000 timed 0.05 = $1850
Then find the total rise after 14 years by taking 1850 timed 14 = $25900
Then we add the original 37000 with 25900 = $62900
If you can, please give me a Brainliest, I only need 1 more to become an Ace, thank you!
Answer: around 62900 Dollars in 14 years
Step-by-step explanation:
find the percentage of the raise per year
1850
Multiply by 14
25900
add the starting amount of salary per year
25900+37000
73257
Ernie Brody had $3,620 on deposit at Savings Bank on July 1. The money earns interest at a rate of 6.5% compounded quarterly until
April 1 of the fillowing year.
The amount of money in the account by April 1st of the following year is $4372.78.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].
Given that, principal=$3620, rate of interest=6.5% and time period=9 months.
Here, principal compounded quarterly
Thus, Amount =3620(1+6.5/100)³
= 3620(1+0.065)³
= 3620(1.065)³
= $4372.78
Therefore, amount of money in the account by April 1st of the following year is $4372.78.
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Pedro Romar's savings account statement shows a previous balance of $895.00 and $3.50 in interest. He made a deposit of $210.00 and had a withdrawal of $20.50. What is his new balance?
а. $1,088.00
b.$1,088.50
c. $1,098.00
d. $1,098.50
Answer: A
Step-by-step explanation: To find Pedro Romar's new balance, we need to add his previous balance and the interest to the deposit, and then subtract the withdrawal. This gives us $895.00 + $3.50 + $210.00 - $20.50 = $1,088.00. Therefore, the correct answer is $1,088.00 or option (a).
Deanna and lulu are playing games at the arcade. Deanna starts with $15, and the machine she is playing costs $0. 75 per game. Lulu starts with $13, and her machine costs $0. 50 per game. Choose the correct expressions to write an equation that could be used to find after how many games the two friends will have the same amount of money remaining. Let g represent the number of games.
After 8 number of games both has equal amount of money.
Deana starts with $15 and the machine she is playing costs $0.75 per game
lulu starts with $13 and the machine she is playing costs $0.50 per game
Let us after x number of games both has same money
Deana spends 0.75*x amount of money after playing x number of games.
Deana has remaining amount of money 15 - 0.75*x.
lulu spends 0.50*x amount of money after playing x number of games.
lulu has remaining amount of money 13 - 0.50*x.
We have assumes that after x number of games both has same amount of money.
[tex]15-0.75*x = 13 - 0.50*x[/tex] --- this is the correct expression to write an equation that could be used to find after how many games the two friends will have the same amount of money.
15 - 13 = 0.75*x - 0.50*x
2 = 0.25*x
x = 2/0.25
x = 8.
So After 8 number of games both has equal amount of money.
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When ABCD is Drawn to scale
would the lines AD and Bc be
Parallel or not?
Answer:
No they would be perpendicular
Step-by-step explanation:
(PICTURE INCLUDED) What are the missing parts that correctly complete the proof?
It is proved that Point A is situated equal distance from Triangle PQA and RQA.
What is bisector?
It is a line that divide an angle or a line in two equal parts. In the given figure, QA is a bisector as it divides the angle PQR.
what is congruent triangle?Triangles are called congruent when they have equal corresponding sides and equal corresponding angles. As shown in figure, the bisector QA creates two congruent triangle PQA and RQA.
it is given, QA is bisector of angle Q, so point A lies equal distance from P and R. According to the figure, APQ and ARQ are right angle.
As per the rules of congruence theorem, triangle PQA and Triangle RQA are two congruent triangles.
hence, A is the same distance from P and R
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Statement Reason
1. QA is the bisector of ∠PQR Given
2. ∠PQA ≅ ∠RQA Definition of bisector
4. ∠QXA ≅ ∠QYA All right angles are congruent
5. QA ≅ QA Given
6.△PQA ≅ △RQA AAS Postulate
8. Point A is equidistance Definition equidistance
from the side of ∠PQR
What is right triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Given that point A is lie on the bisector of ∠PQR.
When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.
Therefore QA is the bisector of ∠PQR
Then ∠PQA ≅ ∠RQA
Since ∠QXA and ∠QYA are right angle, therefore they are congruent.
∠QXA ≅ ∠QYA
QA ≅ QA
AAS postulate: The triangles are congruent if two angles and the excluded side of one triangle match two angles and the excluded side of another triangle.
According to AAS postulate,
△PQA ≅ △RQA
Point A is equidistance from ∠PQR.
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8) Which ratio would be equivalent to 1/9 ? *
OA) 3/18
OB) 2/27
OC) 3/27
D) 3/10
Answer: c) 3/27
Step-by-step explanation:
To make equivalent fractions, we multiply the numerator and denominator with the same number so that on cancelling we get the original fraction...
Therefore, 1/9=
1 x 3 / 9 x 3 = 3/27
Which can also be written as 3:27
So, the answer is c) 3/27
Triangle ABC has vertices A(-4,1), B(-2,1), and C(-1,-2) on a coordinate grid. If it is rotated 180 degrees about the origin, what are the coordinates of A'B'C'?
Answer: A' (-4,-1) B' (-2,-1) C' (-1,2)
Step-by-step explanation: The reasons these are the correct answers because if you look at the rule of a rotation, it states that: The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
the estimated regression equation is . a. what is the value of the standard error of the estimate (to decimals)?
The value of the standard error of the estimate is 6.5141.
Given :
the estimated regression equation is y = 7.6 + 0.9x
we need to find the value of the standard error of the estimate.
Regression equation ;
A regression equation is used in stats to find out what relationship, if any, exists between sets of data.
Standard error :
The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation.
here n = 5 and k = 2
σ = [tex]\sqrt{127.3/3}[/tex]
= 6.5141.
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Full question:
the estimated regression equation is y = 7.6 + 0.9x . a. what is the value of the standard error of the estimate (to decimals)?
PLS HELP!!!! 100 PTS I ONLY HAVE 5 MINS!!!
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than a certain number of inches.
Write two different expressions to represent the area of this rectangle.
Answer:
Area= 2(x-3)
Area= (x-3)2
Step-by-step explanation:
not sure if that's right but I think it is
The equation c = 6.99p represents the proportional relationship between the total cost (c) and the number of pounds (p) of shrimp at a grocery store.
Which description is true, based on the equation of the proportional relationship?
For $1, you can buy 6.99 pounds of shrimp.
For $6.99, you can buy 6.99 pounds of shrimp.
For $6.99, you can buy 1 pound of shrimp.
For $0.01, you can buy 1 pound of shrimp.
For $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct
What is a Ratio?A ratio indicates the number of times one number contains another.
The given equation is c = 6.99p, where c is the cost and p is the weight in pounds.
c = 6.99p
substitute p = 1:
c = 6.99
Hence, for $6.99, you can buy 1 pound of shrimp, therefore, the third option is correct.
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Hurricanes are large storms that form over warm waters out in the ocean. hurricanes are associated with low-pressure regions in the atmosphere. how does the low pressure associated with a hurricane help them to grow big and powerful?
A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.
An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.
A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.
The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.
A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.
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Given m || n, find the value of x and y.
X =
(7x+18)º
y =
Do
(9x-14)°
m
Answer:
x = 16y = 130Step-by-step explanation:
You want the values of x and y when corresponding angles at parallel lines are marked (9x -14)° and (7x +18)°, and a vertical angle to those is marked y°.
Corresponding anglesCorresponding angles where a transversal crosses parallel lines are congruent:
(9x -14)° = (7x +18)°
2x = 32 . . . . . . . . . . divide by °, add 14-7x
x = 16
Then these angles are ...
(9(16) -14)° = (144 -14)° = 130°
Vertical anglesVertical angles are congruent, so ...
y° = 130°
y = 130
9. a travel agency will plan tours for groups of 25 or larger. if the group contains exactly 25 people, the price is $300 per person. however, the price per person is reduced by $10 for each additional person above 25. you want to find what size group will produce the largest revenue for the agency. when x is the number of people added to the 25, the total revenue will be r(x)
If more than 25 people are added, the total revenue will be r(x) = $ 50, with the x = 5 size group producing the highest revenue for the agency.
what is marginal revenue ?The law of diminishing returns dictates that marginal revenue will eventually begin to decline as output level rises, even though it can remain constant above a certain threshold of output.
calculation
If a group of 25 people or more, a travel agency will organize the excursion.
The cost is $300 per person, if the group has exactly 25 participants. However, the cost per person drops by $10 for each additional person beyond the calculated maximum of 25.
R(X) = ( 25 + x ) ( 300 - 10x ) ( 300 - 10x )
evaluate in relation to x = R'(X) = 300 - 10x - 250 - 10x = 50 - 20x
We now have 30 people, which means that there are 5 more persons than 25.
Marginal revenue equals $50 when x = 5 and R'(X) = 50 - 20(5).
The revenue will drop by $50 for the following individual (31st ).
If more than 25 people are added, the total revenue will be r(x) = $ 50, with the x = 5 size group producing the highest revenue for the agency.
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if m, p, and t are distinct positive prime numbers, then m3pt has how many different positive divisors greater than 1 ?
There are 15 different positive divisors (greater than 1) for the number m³pt. Here m, p, and t are distinct prime numbers. This is obtained by the prime factorization method.
How to find the number of positive factors for a number?The following are the steps to find the number of positive factors of a number:
Step 1: Find the L.C.M of the number by using the prime factorization method. For example: consider the number 24. Then, its prime factorization is as follows:
24 = 2 × 2 × 2 × 3
Step 2: Same bases should be added in powers. So, the factors we can write as
24 = 2³ × 3¹
Step 3: To find the number of positive factors of the number, the exponents of the prime factors is multiplied by adding 1.
I,e., N = (3 + 1)(1 + 1) = 4 × 2 = 8.
So, there are 8 factors for the number 32. They are 1, 2, 3, 4, 6, 8, 12, and 24.
Calculation:It is given that, m, p, and t are distinct positive prime numbers.
Then, the number of positive divisors greater than 1 for the number m³pt are
m³× p × t
Since m, p, and t are prime factors, we can multiply their power by adding 1 to them. I.e.,
N = (3 + 1) (1 + 1) (1 + 1) = 4 × 2 × 2 = 16
So, there are a total of 16 factors for the given number (including 1). So, the number of factors greater than 1 is 16 - 1 = 15.
Therefore, there are 15 different positive divisors greater than 1 for the number having prime factors as m³pt.
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What is the slope-intercept form of the equation of a line the line passing through point (6, -1)
that is parallel to y = 2x - 3?
Answer:
baba perksssssssssssssss
Step-by-step explanation:
Answer: y=2x-13
Step-by-step explanation:
When lines are parallel to each other they have the same slope so the slope of the line we are trying to find is 2.
To find the y-intercept we can turn the equation into point-slope form using our point (6,-1) and slope (2).
Point-Slope Form: y-y1=m(x-x1)
y+1=2(x-6)
Then solve for y to find the y-intercept
y+1=2x-12
y=2x-13 is your answer in Slope-intercept form
A new video game has been released. The table shows the proportional relationship between the number of levels completed and the time it should take to complete them.
Number of Levels 2 7
Time (hours) ? 3.5
How many minutes should it take to complete 2 levels?
60 minutes
120 minutes
180 minutes
210 minutes
The number of minutes it takes to complete 2 levels is (a) 60 minutes
How many minutes should it take to complete 2 levels?From the question, we have the following parameters that can be used in our computation:
Number of Levels 2 7
Time (hours) ? 3.5
This table can be represented as follows:
Ratio = Level : Time
So, we have the following representation
Level : Time = 7 : 3.5
At level 2, we have
2 : Time = 7 : 3.5
Express as fraction
Time/2 = 3.5/7
So, we have
Time = 2 * 3.5/7
Evaluate
Time = 1
Express as minutes
Time = 60 minutes
Hence. the time is 60 minutes
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chloe is 5 feet 4 inches tall.There are 2.54 centimeters in 1 inch .What is Chloes height in centimeters
Answer:
Step-by-step explanation:
Jason spent $25.50 on movie tickets. Each movie ticket (m) cost $8.50 . Which equation could be used to represent how many tickets Jason bought?
Answer:
8.50m = 25.50
Step-by-step explanation:
Total movie ticket spent = 25.50
Movie ticket unitary price = 8.50
Then an equation to represent that is:
8.50m = 25.50
m = 25.50/8.50
m = 3
Answer:
He bought 3 tickets
Step-by-step explanation:
Add $8.50 3 times to get how much he spent
A model is drawn with a scale of 1:200.
a) The model is 17.5cm long. Find the actual length, in metres of the boat.
b) The actual length of the boat is 6.2m. Find the height, in centimeters, of the model.
Answer:
3500
Step-by-step explanation:
1 : 200 = 17.5 : x
x = 200 × 17.5
x = 3500
Use fundamental identities to solve the equation.
csc^3 (x) - csc^2 (x) - csc (x) + 1
x = ± π/2 + 2kπ with k ∈ Z is the solution of fundamental identities
What is fundamental identities?
An equation is referred to as an identity if it has one or more variables and holds true for any replacement value of each variable that is specified on both sides of the equation.
y = cscx
y³ - y² - y + 1 = 0 has a root for y = 1
= y³ - y² - y + 1
= ( y² - 1 ) ( y - 1 )
= ( y + 1 ) ( y - 1 )²
cscx = ± 1
sinx = ± 1
or
x = ± π/2 + 2kπ with k ∈ Z
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I dont know which comes first
Answer:
Step-by-step explanation:
Distribute 3
Subtract 3x
Divide 9
-4/3 = x
Check
Please help me with this question in the picture
Answer:c
Step-by-step explanation: decreasing
What’s the square root of 9 ? Explanation
Answer:
The square root of 9 is equal to 3.
Step-by-step explanation:
Square roots are essentially x squared = y. In this case, y is 9. x squared makes x = 3 because 3 * 3 * 3 = 9