Please answer a and b I need help really bad and please explain it would help me a ton
Answers
The value of x found using the assumption, ΔABC is an isosceles triangle and the measure using the fact that ∠ABC > ∠ACB are;
a) x = 4.5
The assumption made is that the triangle is an isosceles triangle
b) {x ∈ Z| -6 ≤ x ≤ 8}
What is an isosceles triangle?An isosceles triangle is a triangle that has a pair of congruent sides.
Let ΔABC be an isosceles triangle, we get;
∠ABC is congruent to ∠ACB, (∠ABC ≅ ∠ACB), therefore, by the definition of congruence triangles, we get;
m∠ABC = m∠ACB
The question indicates that the measure of the angles are;
∠ABC = 100 - 12·x
∠ACB = 8·x + 10
Which indicates, by the substitution property, that we get;
100 - 12·x = 8·x + 10
100 - 10 = 8·x + 12·x = 20·x
100 - 10 = 90 = 20·x
20·x = 90
x = 90/20 = 4.5
x = 4.5The assumption made is that the triangle ΔABC is an isosceles triangle
b) ∠ABC > ∠ACB, therefore;
100 - 12·x > 8·x + 10
100 - 10 > 8·x + 12·x = 20·x
100 - 10 = 90 > 20·x
20·x < 90
x < 90/20 = 4.5
x < 4.5
The possible integer values of x can be found as follows;
100 - 12·x ≥ 0
100 ≥ 12·x
x ≤ 100/12 = 8.[tex]\overline{3}[/tex]
x ≤ 8.[tex]\overline{3}[/tex]
100 - 12·x ≤ 180
100 - 180 ≤ 12·x
12·x ≥ -80
x ≥ -80/12 = -6.[tex]\overline{6}[/tex]
x ≥ -6.[tex]\overline{6}[/tex]
Similarly, we get;
8·x + 10 ≥ 0
x ≥ -10/8 = -1.25x
x ≥ -1.25
8·x + 10 ≤ 180
x ≤ (180 - 10)/8 = 21.25
x ≤ 21.25
The possible integer value of x, using the interval, x ≥ -6.[tex]\overline{6}[/tex], x ≤ 8.[tex]\overline{3}[/tex] are therefore; -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, which can be expressed as; {x ∈ Z| -6 ≤ x ≤ 8}
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Related Questions
Tara has two store coupons. Coupon 1 gives her $10 off on one item. Coupon 2 gives her 10% off on one item. Tara can use both coupons together on one item in the store and choose which coupon to apply first. For an item that has an original price of x dollars, let f be the function that models the discount price of the item using only coupon 1 and let g be the function that models the discount price of the item using only coupon 2. The price of each item in this store is more than $20 . Which of the following statements best explains which coupon should be applied first when using both coupons to give Tara a lower price?
Answers
To give Tara a lower price, coupon 2 should be applied first.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Tara has two store coupons.
Coupon 1 gives her $10 off on one item.
Coupon 2 gives her 10% off on one item.
Tara can use both coupons together on one item in the store and choose which coupon to apply first.
For an item that has an original price of x dollars,
let f be the function that models the discount price of the item using only coupon 1,
and let g be the function that models the discount price of the item using only coupon 2.
The price of each item in this store is more than $20.
Let the price is $50.
So applying coupon 1 and then coupan2,
we get,
(50 - 10) - ($50 - $10) x 0.10 = $36
Now, apply coupon 2 and then coupon 1,
we get,
$50 x 0.10 - $10 = $35
Therefore, she should apply coupon 2 and then coupon 1.
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Task
You put two targets in the field. The coordinates for target 1 (6 Points).
The coordinates for target 2 (4 points). See the figure below.
Messi
Ronaldo
2
1
2
: 1 times
: 3 time
larg42
farget 1
4
5
You asked the players to shoot the ball on the targets 4 times. You added that if
they hit one of the targets, they get the target points.
Test 1:
Messi shot the ball. His ball followed the path of the equation where x is the target
points:
3(3x - 4) = 24
6.8 (2.3x + 5.7) = 132.6
Answers
The first equation 3(3x - 4) = 24 can be solved for x as follows:
3(3x - 4) = 24
9x - 12 = 24
9x = 36
x = 4
So, if Messi hit the target, he would score 4 points.
The second equation 6.8 (2.3x + 5.7) = 132.6 can be solved for x as follows:
6.8 (2.3x + 5.7) = 132.6
2.3x + 5.7 = 132.6 / 6.8
2.3x + 5.7 = 19.55
2.3x = 13.85
x = 6
So, if Ronaldo hit the target, he would score 6 points.
The profit a company makes decreases exponentially at a rate of 0.9% per year. In 2014, the profit was $9500. Calculate the profit in 2019.
Answers
Answer: The formula for exponential decay is given by:
P(t) = P0 * e^(-rt)
where P(t) is the profit at time t, P0 is the initial profit, r is the rate of decrease in percentage, and t is the time elapsed in years.
In this case, P0 = $9500, r = 0.9%, and t = 5 (the time elapsed from 2014 to 2019).
First, we need to convert the rate of decrease from a percentage to a decimal:
r = 0.9% / 100 = 0.009
Now, we can plug in the values into the exponential decay formula:
P(5) = $9500 * e^(-0.009 * 5) = $9500 * e^(-0.0455)
We can calculate the value of e^(-0.0455) using a calculator or mathematical software. The result is approximately 0.955.
Therefore, the profit in 2019 is:
P(5) = $9500 * 0.955 = $9027.25
So, the profit in 2019 would be $9027.25.
Step-by-step explanation:
Which of the following is a statistical question that can result in numerical data?
How many letters are in your first name?
How many hours do you practice your musical instrument each week?
How many books do the students in your class read each month?
Who is your favorite cartoon character?
Answers
Answer:
Step-by-step explanation:
Statistical questions are questions that can be answered by collecting, analyzing, and summarizing numerical data. The data can then be used to make inferences, predictions, and draw conclusions.
In the context of statistical analysis, numerical data refers to data that can be measured and expressed as a number. For example, the number of hours someone spends practicing a musical instrument each week, or the number of books a student reads each month.
On the other hand, questions such as "Who is your favorite cartoon character?" cannot be answered with a number and therefore are not statistical questions. The answer to this type of question is qualitative or categorical data and can not be analyzed numerically.
It's important to note that while the questions that result in numerical data are often statistical questions, not all questions that result in numerical data are necessarily statistical questions. For example, the number of letters in someone's first name is a numerical piece of information, but it does not involve collecting and analyzing data to make inferences or draw conclusions.
Answer:2)How many hours do you practice your musical instrument each week.
Step-by-step explanation:
"How many hours do you practice your musical instrument each week?" is a statistical question that can result in numerical data.
This is a statistical question because it involves a numerical variable ("hours practiced per week"), which can be measured and quantified.
Select the correct answer. In which of the scenarios can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful? A. As the number of cigarettes smoked in a day increases, the risk for lung cancer increases. B. As the age of an infant increases, the height of the infant increases. C. As the number of vehicles in a city increases, the amount of pollution in the city increases. D. As the concentration of salt in water increases, the density of water increases. E. As the number of calls made by a cell phone increases, the cell phone bill amount increases.
Answers
The scenarios can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful in
E) As the number of calls made by a cell phone increases, the cell phone bill amount increases.
What is Independent and Dependent Variable?We anticipate that independent variables will have an impact on dependent variables. What occurs as a result of the independent variable is referred to as a dependent variable.
Given:
We can see from Option A that the opposite may not be true, as an increase in the risk of lung cancer may not always be accompanied by an increase in the number of cigarettes smoked each day.
Now, second it is clear that the opposite may not be true because an infant's age may not necessarily increase along with his or her height.
Now, third also acknowledges that a rise in traffic is not always accompanied by an increase in pollution in a city.
Fourth, a rise in water density does not always imply an increase in the amount of salt present in the water.
Only in Option E do we find a potential reverse reliance because a rise in phone bill amount does typically correspond to a rise in cell phone call volume.
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Find the volume of the solid that results when the region enclosed by the given curves is revolved about the x-axis. Round the answer to at least two decimal places.
[tex]y=e^{x}, y=0,x=0,x=ln(3)[/tex]
Answers
Answer:
Step-by-step explanation:
rectangular fountain has a length of L meters and a width of 3 meters less than its length. How much
es it cost to border the outside of the fountain using 1-meter tiles that cost $4 each. HINT: draw a picture.
Answers
The expression that represents the cost to the border will be 16L - 8.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides.
Perimeter of the rectangle = 2(L + W) units
A rectangular fountain has a length of L meters and a width of 3 meters less than its length. Then the equations are given as,
W = L - 3
The perimeter of the rectangle is given as,
P = 2(L + L - 3)
P = 2(2L - 3)
P = 4L - 6
The amount of money that is required for bordering the fountain is given as,
⇒ 4 × [4L - 6] + 4 × 4
⇒ 16L - 24 + 16
⇒ 16L - 8
The expression that represents the cost to the border will be 16L - 8.
And the diagram is given below.
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Although 240° is a special angle on the unit circle, Aiden wanted to determine its coordinates using the sum and difference formulas.
Part A: Determine cos 240° using the cosine sum identity. Be sure to include all necessary work. (5 points)
Part B: Determine sin 240° using the sine difference identity. Be sure to include all necessary work. (5 points)
Answers
A. The value of cos 240° = [tex]\frac{-1}{2}[/tex]
B. The value of sin 240° = [tex]-\frac{\sqrt{3} }{2}[/tex]
What are basic Trigonometric functions?
The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant, and cosecant can be derived from the primary functions. Basically, the other three functions are often used as compared to the primary trigonometric functions.
Part A:
we know that, cos (a +b)=cos a cos b - sin a sin b
cos 240° = cos (60° +180°)
=cos 60° cos 180° - sin 60° sin 180°
=[tex]\frac{1}{2} *(-1)-\frac{\sqrt{3} }{2} *0[/tex]
=[tex]\frac{-1}{2}[/tex]
Part B:
we know that, sin(a- b)=sin a cos b - cos a sin b
sin 240° = sin(270° - 30°)
=sin 270° cos 30° - cos 270° sin 30°
=[tex]-1 *\frac{\sqrt{3} }{2}-0*\frac{1}{2}[/tex]
=[tex]-\frac{\sqrt{3} }{2}[/tex]
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Please Help Me Answer!
Answers
The probability that a randomly chosen college student exercises in the morning or afternoon is B. 0. 39.
How to find the probability ?The probability that a college student chosen at random will either exercise in the morning or afternoon can be found by the formula :
= Probability that student exercises in the morning + Probability that student exercises in the afternoon
Probability that student exercises in the morning = 0. 25
Probability that student exercises in the afternoon = 0. 14
The probability would therefore be:
= 0. 25 + 0. 14
= 0. 39
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Grayson is going to invest in an account paying an interest rate of 4% compounded
continuously. How much would Grayson need to invest, to the nearest dollar, for the
value of the account to reach $15,000 in 5 years?
Answers
Grayson would need to invest approximately $10,994 to the nearest dollar for the value of the account to reach $15,000 in 5 years.
What is continuously compounded interest?
Continuous compounded interest indicates that an account balance is constantly earning interest and reinvesting that money so that it, too, earns interest.
The formula for continuous compounding is given by:
[tex]A = Pe^{rt}[/tex]
where A is the amount in the account after t years, P is the principal amount (the amount invested), r is the annual interest rate, and e is the base of the natural logarithm.
We want to find P when A = $15,000, r = 0.04, and t = 5 years.
Substituting these values into the formula, we get:
[tex]15000 =Pe^{0.04*5}[/tex]
Simplifying the right-hand side, we get:
[tex]15000 =Pe^{0.2}[/tex]
Dividing both sides by e^(0.2), we get:
[tex]P= \frac{15000}{e^{0.2}}[/tex]
Using a calculator, we get:
P ≈ $10,994
Therefore, Grayson would need to invest approximately $10,994 to the nearest dollar for the value of the account to reach $15,000 in 5 years.
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PLEASE HELP!!
i think it wants it in the form of
m = y2-y1
——————
x2-x1
but i could be wrong please please please help if you can it’s greatly appreciated
Answers
a) Two different ways.
x = ln(32)/ln(2)
2^x = 2^5
b) Only the natural logarithm way can be used.
c) x = 3.58
How to solve the equation?We want to solve:
2^x = 32
in two ways.
The first way is trivial, apply the natural logarithm to both sides:
ln(2^x) = ln(32)
x = ln(32)/ln(2)
The second way is the next one:
2^x = 32
The right number can be written as:
4*8 = 32
Now we can factorize the left side:
4*8 = (2*2)*(2*2*2) = 2^5
Replacing that we get:
2^x = 2^5
So we know that x = 5.
b) The second way can't be used to solve:
2^x = 12
Because 12 has a factor different than 2.
c) Using the natural logarithm way:
x = ln(12)/ln(2) = 3.58
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Points A, B, and C are colinear in that order. Find xusing the segment addtion postulate method
AC = 3X +3
AB = -1 + 2X
BC=11
Answers
Using the segment addition postulate approach, the valve of x is 7.
What purposes do postulates serve?A postulate is a claim that is accepted as true in the lack of supporting data. Postulates serve as a basis for the verification of succeeding propositions and serve the dual purpose of defining concepts that are not yet specified. Two points determine a line segment. A line segment can go on for ever along a line.
The segment addition postulate states that if three points A, B, and C are parallel to one another in that sequence, then the lengths of AB and BC added together equal the length of AC.
AC = AB + BC
Substituting the given values, we get:
3x+3 = (-1 + 2x)+11
When the right side of the equation is simplified, we obtain:
3x + 3 = 2x + 10
Subtracting 2x from both sides, we get:
x + 3 = 10
Subtracting 3 from both sides, we get:
x = 7
Therefore, x = 7.
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College bridge
Rewrite log[()* . c using the properties of logarithms.
C4 logo a
4. log b + log c
4. log a
C4 log6 a
-
-
4. log b + 4. logo c
4-logo blog c
4 logo a- log b + logo c
Answers
The expression "log[a * b.c]" can be rewritten as 2 * log a + log b + log c.
How did we arrive at the expression?The expression "log[a*b.c]" can be rewritten using the properties of logarithms as follows:
Use the logarithmic property log(a * b) = log a + log b:
log[a * b.c] = log (a * b) + log c
Apply logarithmic property log(a^n) = n * log a:
log[a * b.c] = log (a^2 * b) + log c = 2 * log a + log b + log c
So, the expression "log[a * b.c]" can be rewritten as 2 * log a + log b + log c.
Therefore, the correct answer is as given above. It could then be concluded that the rewritten expression will then be 2 * log a + log b + log c.
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How many different possible outcomes are there if you spin 4 spinners labeled Red,
Blue, Yellow?
Answers
From the information given, there are 81 different possible outcomes if you spin 4 spinners labeled Red, Blue, Yellow.
A permutation is an arrangement of objects in a specific order, and spinning involves generating a random outcome from a set of possible outcomes.
When spinning the spinner, each outcome has an equal chance of occurring, so we can say that the set of possible outcomes is being randomly permuted.
Spinning can be thought of as a way to generate a random permutation of a set of possible outcomes.
Each spinner has three possible outcomes, so the total number of different possible outcomes for all four spinners is:
3 x 3 x 3 x 3 = 81
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The Belmont race track known as "BIg Sandy" is 1.5 miles long. In 1973, Secretariat won the Belomont Stakes race in 2 minutes and 30 seconds. Assuming he ran on "Big Sandy", what was his unit speed in miles per hour
Answers
Answer:
Below
Step-by-step explanation:
If he ran ONCE around the track he ran 1.5 miles in 2 .5 minutes
We will need to use a conversion factor of 60 min / 1 hr :
1.5 mi / 2.5 min * 60 min / hr = 1.5 *60 / 2.5 m/hr = 36 m/hr
Please help me! Factor Each Polynomial Completely.
x^2-y^2-3.5(x+y)
Answers
The polynomial x^2-y^2-3.5(x+y) is factored completely to xy(x - y)
What are algebraic expressions?Algebraic expressions are defined as expressions that are made up of coefficients, variables, terms, factors and constants.
They are also composed of arithmetic operations, such as;
SubtractionMultiplicationDivisionAdditionBracketParenthesesx^2-y^2-3.5(x+y)
expand the brackey
x² - y² - 3.5x + 3.5y
Factor the common terms
xy(x - y - 3.5 + 3.5)
collect lie terms
xy(x - y)
Hence, the expression is xy(x - y)
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-1,080?379?-3?15=-683 find missing operators
Answers
The missing operators in the equation are +, - and +,the equation should be -1080+379-(-3)+15=-683.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
-1,080?379?-3?15=-683
We already have two negative operators (-1,080 and -3), so we need to use a positive operator to get the final result to be negative. We can achieve this by using the addition operator (+)
-1,080+379?-3+15=-683
-1080+394?-3=-683
-686?-3=-683
The missing operator should be negative to get the value -683
-686-(-3)=-683
-686+3=-683
Hence, the missing operators in the equation are +, - and +,the equation should be -1080+379-(-3)+15=-683.
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You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 44 km south and 227 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
Answers
The time JBLM will you be the closest to Mt. Rainier will be 5.12 minutes.
What is Distance?A measurement of the distance between two places along a line or line segment.
The plane's flight route follows the line.
y = -125/135x = -25/27x
The direction of the perpendicular line passing across Mt. Rainier is,
y = 27/25(x -56) -40
In standard form, these two equations are,
25x +27y = 0
27x -25y = 2512
The coordinates at the closest approach are the answers to these two equations:
(x, y) = (33912/677, 31400/677)
The Pythagorean theorem (distance formula) states that the distance d from the origin to this point is as follows:-
d = 1256√(2/677) km
The airplane's speed can be used to convert this distance to time:
1256√(2/677) X 60/800 = 94.2√(2/677) ≈ 5.120019 mins
So, 5.12 minutes after leaving JBLM, Mt. Rainier will be the nearest.
The attached graph shows the geometry of the problem.
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An older person is 5 years older than four times the age of a younger person.
The sum of their ages is 30. Find their ages.
Their ages are _____
(Use a comma to separate answers as needed.)
Answers
Their ages are 5 years, 25 years
How to find their ages?Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.
Let L and Y represent the age of the older person and younger person respectively.
Using the given information, we can write:
L = 4Y + 5 --- (1)
L + Y = 30 --- (2)
From (2):
L = 30 - Y --- (3)
Put (3) in (1):
L = 4Y + 5
30 - Y = 4Y + 5
4Y + Y = 30 - 5
5Y = 25
Y = 25/5
Y = 5 years
Put Y = 5 into (3):
L = 30 - Y
L = 30 - 5
L = 25 years
Their ages are 5 years, 25 years
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If Gabe buys 20 yards of fabric, uses 6 2/3 yards to make some pillow cases and another 10 1/4 yards to make curtains for his room, how many yards of fabric will he have left?
Answers
Answer:
3 and 1/12 left
Step-by-step explanation:
NEED PLS THANK YOU DUE TODAY
Answers
Now , to find the area
Total area of figure = Area of first Triangle + Area of second triangle
The area of the triangle = ( 1/2 ) x Length x Base
Total area of figure = ( 1/2 ) x ( 36 x 15 ) + ( 1/2 ) x ( 15 x 8 )
= ( 1/2 ) x 540 + ( 1/2 ) x 120
= 270 + 60
= 330 inches²
Therefore , the value is 330 inches²
Hence , The area of the figure is 330 inches²
Help with QUESTION 9 AND 11:
Answers
Answer:
Step-by-step explanation:
9.
f(x)=x²-10x+3
=x²-10x+25-25+3
=(x-5)²-22
vertex is (5,-22)
it has horizontal tangent at (5,-22)
or
f(x)=x²-10x+3
f'(x)=2x-10
it has horizontal tangent where 2x-10=0 or x=5
f(5)=5²-10(5)+3
=25-50+3
=-22
it has horizontal tangent at (5,-22)
Please help me ASPA find the value of X
Answers
Answer:
9
Step-by-step explanation:
set up a ratio
20 is to 3x-2 as ( 20 + 28) is to 7x -3
20 / ( 3x-2) = ( 20 + 28) / (7x-3 ) cross multiply to get
140x - 60 = 144x - 96
36 = 4x
x = 9
Alicia drew these same size game boards
Answers
F(x)=|x| is transformed to g(x)=|x|+4 what transformation happens from f(x) to g(x)
Answers
Step-by-step explanation:
The transformation from the function f(x) = |x| to the function g(x) = |x| + 4 can be thought of as a vertical shift upward by 4 units. The shape of the absolute value function remains unchanged, but the entire graph is shifted upward along the y-axis by 4 units. This can be visualized by observing that for any value of x, g(x) = f(x) + 4.
So, the transformation of f(x) to g(x) is a vertical shift upward by 4 units
Janet is shopping for bottles and formula for her
baby. Last month, the price of her favorite brand
of formula was $15 per can. She bought six
bottles last month. This month, the price of the
cans of formula has increased by 20%. As a
result, she will buy 50% fewer new bottles.
The cross-price elasticity for the new bottles
calculated using the cross-price elasticity
formula is
and the goods are
2.5; substitutes
1.2; substitutes
-2.5; complements
-1.2; complements
Answers
Answer:
Step-by-step explanation:
Cross-price elasticity of demand is a measure of the relationship between the prices of two goods and the quantity demanded of each. It is used to determine how changes in the price of one good affect the demand for another good.
In this scenario, Janet is shopping for formula and bottles for her baby. The price of her favorite brand of formula has increased by 20%, causing her to buy 50% fewer new bottles. The cross-price elasticity for the new bottles calculated using the cross-price elasticity formula is -2.5.
A negative cross-price elasticity value of -2.5 means that the two goods, formula and bottles, are complements. This indicates that an increase in the price of one good (the formula) leads to a decrease in the demand for the other good (the bottles). In other words, when the price of formula increases, Janet is less likely to buy as many new bottles because she is spending more on formula.
On the other hand, if the cross-price elasticity were positive, it would indicate that the two goods are substitutes. In that case, an increase in the price of one good (the formula) would lead to an increase in the demand for the other good (the bottles) as people switch to the cheaper alternative.
In summary, cross-price elasticity of demand is a useful tool for understanding the relationship between the prices of two goods and the quantity demanded of each, and can help businesses make informed decisions about pricing and product strategy.
The cross-price elasticity is -3.66., complements.
What is elasticity of demand?A demand that is elastic experiences a significant shift in quantity demanded as a result of a price adjustment. When the amount sought changes little as a result of a price adjustment, the demand is said to be inelastic.
The percentage change in the quantity demanded for one good has an impact on the percentage change in the price of another good, which is measured by the cross elasticity of demand.
Based on the values given above, the cross elasticity of demand will be:
= [(3 - 6) / (18 - 15)] × [(15 + 18) / (6 + 3)]
= (-3/3) × (33/9)
= -1 × 3.66
= -3.66%
Since it's a negative value, the goods are complement.
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It takes Ross traveling at 36 miles per hour 10 minutes longer to go a certain distance than it takes Maria traveling at 45 miles per hour find the distance traveled
Answers
On solving the provided question, we can say that the equation will be distance = distance 36t + 18 = 63t distance = 63t = 63(2/3) = 42 miles
What is equation?A mathematical equatiοn is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is known as an equation in algebra. Fοr instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relatiοnship between the two sentences οn either side of a letter is described by a mathematical fοrmula. Often, there is οnly one variable, which also serves as the symbοl. for instance, 2x – 4 = 2.
the equatiοn will be
distance = distance
36t + 18 = 63t
27t = 18
t = 18/27 = 2/3 hr
distance = 63t = 63(2/3) = 42 miles
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To find 15+32,
Kayla adds the ones.
Then she adds the tens.
Then she adds the ones and tens.
5+2=7
1+3=4
7+4=11
Do you agree with Kayla? Yes or No.
Explain by showing your thinking using drawings, numbers, or
words.
Answers
Answer:
no
Step-by-step explanation:
15+32 you would first add the tens
5+2=7
then the ones
1+3 =4
you're answer would then be 47 as the ones come before the tens
What is the y intersecpt of y=-4x-5
Answers
Answer:
-5
Step-by-step explanation:
The equation is in slope intercept form,
y = mx+b
where m is the slope and b is the y intercept.
y = -4x-5
The slope is -4 and the y intercept is -5.
let n be an integer. show that if a, b are relatively prime integers, each of which divides n, then ab divides n.
Answers
[tex]a*b[/tex] must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.
Let n be an integer and a, b be relatively prime integers, each of which divides n. This means that a and b have no common factors other than 1. According to the Fundamental Theorem of Arithmetic, the prime factorization of n can be written as n = p1^k1 * p2^k2 * ... * pn^kn. Since a and b divide n, each of their prime factorizations must contain all of the prime factors of n, and the exponents must be less than or equal to the exponents of n. Therefore, a*b must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.
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