If-then form of the given statement : an acute angle measures less than 90 will be : If an angle is an acute angle, then the angle measures less than 90 degrees.
We can understand this problem by using the above statement as an example like :
If an angle is an acute angle, then the angle measures less than 90 degrees. The part after if : an angle is an acute angle is called a hypotheses and the part after then : the angle measures less than 90 degrees is called a conclusion.
Hypotheses followed by a conclusion is called an If-then statement or a conditional statement.
This is noted as :
p → q
This is read - if p then q.
A conditional statement is false if hypothesis is true and the conclusion is false. The example above would be false if it said "If an angle is an acute angle, then the angle does not measure less than 90 degrees."
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[ Brainliest ]
Apply it! The measure of each central angle of a regular 36-sided polygon is ___ degrees.
Answer:
10
Step-by-step explanation:
there’s 360 degrees in a full circular area, so dividing it by 36 sides equals 10 degrees each.
Feeling Generous
4*4*2
*= times
Answer: 32 Times
Step-by-step explanation:
4 * 4 * 2 = 32
Answer: 32
Step-by-step explanation:
4*4=16
16*2=32
or just look it up on whatever browser your using.
Simplify by combining like terms. 7s-s
The simplification by combining like terms of 7s -s is 6s.
According to the given question.
We have an expression 7s - s.
As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same. when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.
Since, we have to combine the like terms of the given expression
7s - s.
Here 7s and s both are the like terms.
So, we subtract coeffcients of s to simplify the given expression.
Therefore, the simplification of the expression 7s - s is given by
7s - s
= 6s
Hence, the simplification by combining like terms of 7s -s is 6s.
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200,150,112.5,...
next three terms?? explanation??
The next three terms of the sequence are 84.375, 63.28, 47.46
What are the next three terms?In order to determine the next three terms, the relationship between the numbers have to be determined.
When examined, it can be seen that the next number is 75% of the previous number
150 / 200 = 75%
112.50 / 150 = 75%
The next number would be 75% of 112.50 = 112.50 x 0.75 = 84.375
The second number would be 75% of 84.375 = 0.75 x 84.375 = 63.28
The third number would be 75% of 63.28 = 0.75 x 63.28 = 47.46
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Write in point-slope form an equation of the line through each pair of points. (1,9) and (6,2)
The equation of the line in point-slope form, which passes through the pair of points located at (1 , 9) and (6 , 2), is y - 9 = -7/5(x - 1).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Getting the slope of the two points: (1 , 9) and (6 , 2).
m = (y2 - y1)/(x2 - x1)
m = (2 - 9)/(6 - 1)
m = -7/5
Using the point slope form, plug in the values of the slope and one point to set up the equation.
(y - y1) = m(x - x1)
where m = -7/5 and (x1 , y1) = (1 , 9)
(y - 9) = -7/5(x - 1)
y - 9 = -7/5(x - 1)
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A bald eagle flies 43.2 meters in 3 seconds. Part C: At these rates, what is the difference in the distances, in kilometers, flown by these two birds after 3 hours of flight?
PLEASE PLEASE PLEASE HELP ASAP
The difference between the distances flown by these birds is 150 Km.
We have a graph given in the question.
We have to find the difference in the distances flown by these two birds after 3 hours of flight.
What is the general equation of a line ?The general equation of a line is -
y = mx + c
According to the question -
The slope of the line is -
m = 400/5 = 80
The y - intercept of the line is 0. Therefore → c = 0.
Therefore, the equation of the line will be -
y = 80x
The distance covered by Bird 1 →
D[1] = initial distance + 80 x 3 = 250 + 240 = 490 Km.
The distance covered by Bird 2 →
D[2] = initial distance + 80 x 3 = 400 + 80 x 3 = 400 + 240 = 640 Km.
Therefore, difference between the distances flown by these birds -
D[2] - D[1] = 640 - 490 = 150 Km.
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[ The given question is incomplete. A graph is attached at the end of answer which is also a part of the question]
Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory, Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe the study above? A. controlled experiment B. experimental study C. survey D. observational study
The method that would best describe the study above is D. observational study
What is observational study?In observational studies, the impact of a risk factor, diagnostic test, treatment, or other intervention is observed without an attempt to alter who is or is not exposed to it. There are two categories of observational studies: cohort studies and case control studies.
Observational studies, often known as epidemiological studies, are those in which the researcher does not influence the study subjects but rather observes the associations that naturally exist between causes and outcomes. This was illustrated in the case regarding the students.
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Write the equation of each line in standard form.
slope =2 ;(2,6)
The equation for this line in standard form is 2x + y = 10.
These are two methods for finding the equation of a line given a point and slope. Create the equation y = mx + b using the m given in the problem and the b you just solved. Point-slope form = y-y1 = m (x-x1), where (x1, y1) is the specified point and m is the specified slope. "x" and "y" remain as variables.
The slope is m=(-A / B).
A line with a slope of (-2) has the following equation:
2x+y=C Finding the constant C requires a point. Use (2,6)
2(2) +6 = C
10 = C
The equation for a straight line in standard form is 2x + y = 10
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Rocco has 1.5 liters of orange soda and 2.25 liters of grape soda in his fridge. Antonio has 1.15 liters of orange soda and 0.62 liters of grape
soda. How much more soda does Rocco have than Angelo?
Answer:
rocco has 0.10 liters orange soda and 1.63 liters of grape soda more angelo has
than
HELPPP I NEED IT ASAP OR HOW EVER LONG IT TAKES U PLS SHOW PROCESS TOO IM BEGGING
The numeric values of the function f(x) = 5x - 7 are given as follows:
a) f(-2) = -17.
b) f(1/2) = -9/2.
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For this problem, the function is not 100% visible from the picture, but we are going to suppose it is given by:
f(x) = 5x - 7.
At x = -2, the numeric value is:
f(-2) = 5(-2) - 7 = -10 - 7 = -17.
At x = 1/2, the numeric value is:
f(1/2) = 5(1/2) - 7 = 5/2 - 14/2 = -9/2.
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Solve for k kk. Give an exact answer. 2.5 ( 4 k + 2 ) = 12 k 2.5(4k+2)=12k2, point, 5, left parenthesis, 4, k, plus, 2, right parenthesis, equals, 12, k k = k=k, equals
The solution for variable k according to the equation given in the task content is; 2.5.
What is the value of k according to the equation given in the task content?It follows from the task content that the value of variable k is to determined.
Given;
2.5 ( 4 k + 2 ) = 12 k
To find: k.
Solving the parentheses; we have;
10k +5 = 12k
Collect like terms;
5 = 2k
k = 5/2
k = 2.5.
Ultimately, the value of k according to the given task is; 2.5.
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larry has 4 packages of cards the first box has 17 cards the second one has 21 the third one has 22 the fourth one has 16 useing front end estimateion what is the best estimateion for the total number of baseball cards she has?
If larry has 4 packages of cards the first box has 17 cards the second one has 21 the third one has 22 the fourth one has 16 using front end estimation the best estimation for the total number of baseball cards she has is: 80 cards.
Estimation for the total numberNumber of cards in each of the boxes
First box =17 cards
Second one box=21 cards
Third one box =22 cards
Fourth one box=16 cards
Now let find the best best estimation for the total number of baseball cards:
Total number of baseball cards=17+21+22+16
Total number of baseball cards=20+20+20+20 (rounded to the nearest tens)
Total number of baseball cards=80 cards
Therefore If larry has 4 packages of cards the first box has 17 cards the second one has 21 the third one has 22 the fourth one has 16 using front end estimation the best estimation for the total number of baseball cards she has is: 80 cards.
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The prime factor decompositions of two numbers,
A and B, are shown below.
A = 26 x 33 x 5
B = 23 x 34 x5x7
Work out the
a) lowest common multiple (LCM) of A and B.
b) highest common factor (HCF) of A and B.
Give your answers as products of their prime
factors in index form.
The Least Common Multiple (LCM) of A and B is 11,741,730 and the Highest Common Factor (HCF) of A and B is 10
What is LCM and HCF?The least common multiple is also known as LCM (or) the lowest common multiple in math. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.
The highest common factor of two or more numbers is the highest number among all the common factors of the given numbers. It is also known as HCF.
So, Given numbers LCM of A and B can be calculated by
Listing all prime factors for each number.
Prime Factorization of A is:
2 x 3 x 5 x 11 x 13
Prime Factorization of B is:
2 x 5 x 7 x 17 x 23
The new superset list is
2, 3, 5, 7, 11, 13, 17, 23
Multiply these factors together to find the LCM.
LCM = 2 x 3 x 5 x 7 x 11 x 13 x 17 x 23 = 11741730
Now, Given numbers HCF of A and B can be calculated by
The factors of A are: 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290
The factors of B are: 1, 2, 5, 7, 10, 14, 17, 23, 34, 35, 46, 70, 85, 115, 119, 161, 170, 230, 238, 322, 391, 595, 782, 805, 1190, 1610, 1955, 2737, 3910, 5474, 13685, 27370
Then the greatest common factor is 10.
Therefore, LCM of A and B is 11741730 and HCF of A and B is 10.
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Membership at the Get Moving Gym requires new members to pay an
enrollment fee of $99 and purchase a key card for $16, in addition to the
regular monthly fee of $29.
Write an equation that represents the cost C for membership for m months.
What is the cost of a 2-year membership?
$811.00
$2,789.00
$795.00
$1,179.00
Answer:
C=115+29m
Step-by-step explanation:
C=115+29(24)
C=£811
so the first option
Find the 10 th term of each geometric sequence. a₉ = -1/3, r= 1/2
The 10th term of the geometric sequence is -1/6.
Let the following be a geometric sequence:
a(1), a(2), a(3), a(4), a(5), ....
Then we have:
a(2) = a(1) . r
a(3) = a(2) . r
Continue the process, we have
a(n) = a(n-1) . r
Where:
a(n) = nth term
a(n-1) = (n-1)th term
r = ratio
In the given problem, a(9) = -1/3, r = 1/2
Plug these into the above formula:
a(10) = a(9) . r
= (-1/3) . 1/2 = -1/6
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Find the lengths of the sides (x=5)
Answer:
−87.5
Step-by-step explanation:
3×5−4×7×5+2×4×5−5÷2=-87.5
Four students participate as a team in a 1000 m wacky relay race. In a wacky
relay race, the students each run a portion of the 1000 m length, but they do not
run equal lengths. Andrea and Billie run 1
8
and 1
5
of the total length, respectively.
Carol runs the average of what Andrea and Billie run. Dana runs the remainder
of the length.
Determine the fraction of the total length that Dana runs.
Answer: 14/40 or 7/20
Step-by-step explanation: We need to set the fraction's denominators equal to each other and their LCM is 40 so Andrea ran 1/8 which =5/40. Billie ran 1/5 which =8/40. 5/40+8/40=13/40/ Carol ran both Andrea's and Billie's length combined so that's another 13/40 = 26/40. The whole length is 40/40 so 40/40-26/40=Dana's length which =14/40 or 7/20
What is the greatest common factor of 6 and 12?
02
0 3
04
06
Answer:
the greatest common factor of 6 and 12 is 6
Step-by-step explanation:
6 can be divided by six, one time. 12 can be divided by six, two times.
The answer is 6.
The factors of 6 are: 1, 2, 3, 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The GCF of a number is the greatest common factor of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder.
Use the Distance Formula to find the distance between the pair of points.
Q(-12,2), T(-9,6)
Using the distance formula the distance between and pair of points Q(-12,2) and T(-9,6) is 5 units
Given,
The points = Q(-12,2) and T(-9,6)
We know the distance formula = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]
Substitute the values in the equation
The distance = [tex]\sqrt{(-9--12)^{2}+(6-2)^{2} }[/tex]
[tex]=\sqrt{3^{2}+4^{2} } \\=\sqrt{9+16}\\ =\sqrt{25}[/tex]
=5 units
Hence, Using the distance formula the distance between and pair of points Q(-12,2) and T(-9,6) is 5 units
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Solve y3 = −125.
please please help
Answer:
pretty sure it's -5
Step-by-step explanation:
the cubed root if 125 is 5 so you just make it negative
Answer:
y = 5
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex] y{}^{3}=125[/tex]
Step 1: Take cube root.
[tex] \sf \: y= {(125)} ^ {( \frac{1}{3} )}[/tex]
y=5
How many gallons of a 22% salt solution must be
mixed with a 38% salt solution to make 20 gallons of
a 28% salt solution?
Answer:
You will need 12.5 gallons of the 22% salt solution and 7.5 gallons of the 38% of the salt solution
Step-by-step explanation:
.22x + .38(20 -x) = .28(20) I want to clear the decimal, so I will multiple through by 100
100[.22x + .38(20-x)] = [.28(20)]100
22x + 38(20-x) = 28(20) Distribute the 38
22x + 760 -38x = 560 combine the x's
-16x + 720 = 560 Subtract 720 from both sides
-16x = -200 Divide both sides by -16
x = 12.5
20 - 12.5 = 7.5
State whether sentence is true or false. If false, replace the underlined word or phrase to make a true sentence.
A vector is in ₋standard ₋position when the initial point is at the origin.
Given statement 'A vector is in standard position when the initial point is at the origin.' is True.
In given question,
We have been given a statement 'A vector is in ₋standard ₋position when the initial point is at the origin.'
We know that the tail of a vector is the initial point of the vector.
And the head of a vector is the final point of the vector with an arrowhead.
The definition of standard position of vector is: "When a vector is in a standard position the head of the arrow is at a point (x, y) and the tail of the arrow is at the origin."
Therefore, given statement 'A vector is in standard position when the initial point is at the origin.' is True.
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Celeste rides her bike to work, averaging 12 miles per hour. On her way home she averages 8 miles per hour. If the total trip takes one hour, how far does she live from her work? Fill out the Rate column in the table below.
Answer: Celeste lives 20 miles from her workplace.
Step-by-step explanation:
Answer:
Step-by-step explanation:
if it takes 12 miles to get there in the morning +
8 miles at the end
she lives 20 miles from her workplace.
Find the distance between the pair of points. Round to the nearest tenth.
A(5,1) and C(-3,-3)
Distance between the pair of points A(5,1) and C(-3 ,-3) is equal to
8.9 units (nearest tenth).
As given in the question,
Given points are A (5, 1) and C( -3,-3)
Distance between the pairs of points = [tex]\sqrt{(y_{2}-y_{1})^{2} + (x_{2}-x_{1})^{2} }[/tex]
=[tex]\sqrt{(-3-1)^{2} + (-3-5)^{2} }[/tex]
= [tex]\sqrt{16 + 64}[/tex]
= [tex]\sqrt{80}[/tex]
= 8.9 units (nearest tenth)
Therefore, distance between the pair of points A(5,1) and C(-3 ,-3) is equal to 8.9 units (nearest tenth).
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How many periods can you use for an n period moving average? question 1 options: 1)
The periods that you can use for an n period moving average is 3.
What is the n period moving average?The term n period moving average is the type of average that an investor can use to determine the trends in investments and the equities market. This type of average helps the traders to be able to understand the moving trends in the market and also to be able to make forecasts.
The period of the moving average spans across the times that the stock would last. This is determined by the equities market. Hence we can say that number of periods that you can be able to substitute for n to obtain the period moving average is 3.
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Y=3x + 1 and 5x = y + 3
How to solve this type of simultaneous equation?
Answer:
(2, 7 )
Step-by-step explanation:
y = 3x + 1 → (1)
5x = y + 3 → (2)
substitute y = 3x + 1 into (2)
5x = 3x + 1 + 3
5x = 3x + 4 ( subtract 3x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
substitute x = 2 into (1)
y = 3(2) + 1 = 6 + 1 = 7
solution is (2, 7 )
IF AB = 7, AD = 25 and CD = 10, find BC
The measure of the length of BC from the expression is 8
Addition postulateThe segment addition postulate in geometry is the axiom which states that a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments.
Given the following segments
AB = 7
AD = 25 and:
CD = 10
Using the addition postulate below:
AB+BC+CD = AD
Substitute the given parameters
7+BC+10 = 25
17+BC = 25
Subtract 17 from both sides
17+BC-17 = 25 - 17
BC = 8
Hence the measure of the length of BC from the expression is 8
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The box plot represents the distribution of the number of children in 30 different families. After further examination, the value of 12 is removed for having been recorded in error. The box plot represents the distribution of the same data set, but with the maximum, 12, removed. The median is 2 children for both plots. Explain why the median remains the same when 12 was removed from the data set.
It should be noted that the median remains the same because removing an extreme value from a data set will not have much effect on the median.
What is Box plot definition?Statistical data based on the minimum, first quartile, median, third quartile, and maximum are shown graphically in a box plot. The box plot represents the number of kids in 30 distinct households in accordance with the families, and the value of 12 is subtracted for inaccuracy.
Therefore, if there are two kids in the median for both plots when 12 was eliminated from the data set, it remained unchanged.
In conclusion, the median remains the same because removing an extreme value from a data set will not have much effect on the median.
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While catching fireflies,
you and a friend decide to have a competition. After
m minutes, you have (3m + 13) fireflies and your friend
has (4m + 6) fireflies. The competition lasts 3 minutes who was more
Answer:
Step-by-step explanation:
Lets look at the expressions with respect to the competition parameters: Expressions:You Y =3m+13Friend(F)=4m+6 1. The competition begins AFTER you and friend already caught some flies. This would be represented by the CONSTANT terms in each expression (in this case, 13 for you, 6 for friend). So the number of flies caught BEFORE THE COMPETITION would be 13+6=19 flies total 2. The competition length was "m" minutes long when flies are caught and counted. This would be represented by the VARIABLE terms in each expression (in this case, 3m for you, 4m for friend). We are not given a numeric value for the variable "m" to evaluate. So the number of flies caught DURING THE COMPETITION (timed "m" minutes long) would be 3m+4m=7m flies total ...and the number of flies per minute would be calculated as 7m÷m=7 flies per min....total #flies divided by total minutes 3. If the problem asked for the total number of flies caught by you and friend, before and after the competition 7m+19 flies total add like terms in each expression.
Answer:
M = 3
3 x 3 + 13 = 22
4 x 3 + 6 = 18
"You" Has more.
^^ hope this helps.
Have a wonderful day!
Exponential function f is represented by the table.
x -2 -1 0 1 2 f
(x) -62 -30 -14 -6 -2
Function g is represented by the equation.
g(x) = -20 (1/2)^x + 10
Which statement correctly compares the two functions on the interval [-2, 1]?
A. Only function f is increasing, and both functions are negative.
B. Only function f is increasing, and only function f is negative.
C. Both functions are increasing, but function g increases at a faster average rate.
D. Both functions are increasing, but function f increases at a faster average rate.
Answer:
I believe the correct answer to this question is D.
Step-by-step explanation:
You can use Desmos (graphing calculator) to graph the equation to verify it. :)
