Answers
Answer:
see below
Step-by-step explanation:
y = 1/2* 2^x
This is an exponential growth function.
When x =0
y = 1/2 ( 2^0) = 1/2 (1) = 1/2
When x=1
y = 1/2 (2^1) = 1/2 (2) = 1
Related Questions
Samia created the following tables of values for a linear system. She concluded that there is no
solution to the system
Answers
Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.
How many solutions do a system of linear lines have?A system of equations, involving two linear lines has solutions as follows:
Unique Solution: When the lines intersect, the point of intersection is the solution.No Solution: When the lines are parallel, no solution exists.Infinite Solution: When the lines coincide, then all points on the line become solutions, giving an infinite number of solutions.How to solve the question?In the question, we are informed that Samia created the given tables for a linear system, and concluded that no solution exists for the system.
We are asked to comment on her conclusion.
To check for her conclusion, we calculate the slopes of both the lines to check whether the relations are parallel or not, as, for parallel relations, the slopes are equal.
Slope can be calculated using the formula, m = (y₂ - y₁)/(x₂ - x₁), when (x₁, y₁), and (x₂, y₂) are the points on the line.
Thus, the slope for:-
Relation 1, is m₁ = (22 - 8)/(4 - (-3)) = 14/7 = 2.
Relation 2, is m₂ = (12 - (-2))/(4 - (-3)) = 14/7 = 2.
Since the slope of the two relations is equal, that is, m₁ = m₂, and they are not coinciding with each other, we can say that the two relations are parallel to each other.
Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.
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Describe the location of point (-3, -2, 3) in three-dimensional coordinate space.
Answers
Answer:
The usual way to draw a 3-D grid can be seen below.
The positive z-axis points upwards
The positive y-axis points to the right
The positive x-axis points towards you, or to the front.
And the notation for a point in 3-D is (x, y, z)
In this case, our point is (-3, -2, 3)
Then the location of the point can be described as:
So the x-value is -3, which means that the point is 3 units behind the origin.
The y-value is -2, which means that the point is 2 units at the left of the origin
The z-value is 3, which means that the point is 3 units above the origin.
the ratio of Ages of Minu and her brother Sudhir is 3:4 the difference between their ages is 5 years then find their present ages
Answers
Let the ages be 3x and 4x
ATQ
[tex]\\ \Large\sf\longmapsto 4x-3x=5[/tex]
[tex]\\ \Large\sf\longmapsto x=5[/tex]
Now
[tex]\\ \Large\sf\longmapsto Age\:of\:Minu=3x=3(5)=15years[/tex]
[tex]\\ \Large\sf\longmapsto Age\:of\:Sudhir=4x=4(5)=20years[/tex]
Their present ages are 15 and 20 years.
Let the age of Minu be represented by x
Since the difference between their ages is 5 years, then the age of her brother will be x + 5.
Based on the information given in the question, the equation to use in solving the question will be:
x/(x + 5) = 3/4
Cross multiply
(4 × x) = 3(x + 5)
4x = 3x + 15
Collect like terms
4x - 3x = 15
x = 15
Minu's age is 15 years
Therefore, her brother's age will be:
= x + 5
= 15 + 5
= 20 years
In conclusion, their present ages are 15 and 20 years.
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find the product using formula (a+b) (a-b) = a square + b square a.61×59. Note: Solve by using formula.
Answers
Answer:
[tex]\huge\boxed{\sf 3599}[/tex]
Step-by-step explanation:
= 61 × 59
You can write 61 = 60 + 1 and 59 = 60 - 1
Hence,
= ( 60 + 1 ) ( 60 - 1 )
According to the formula:
[tex](a+b)(a-b) = a^2-b^2[/tex]
= (60)² - (1)²
= 3600 - 1
= 3599
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Instructions: Find the measure of the indicated angle to the nearest
degree.
19
?
8
=
Answers
Answer:
? ≈ 65°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{19}[/tex] , then
? = [tex]cos^{-1}[/tex] ([tex]\frac{8}{19}[/tex] ) ≈ 65° ( to the nearest degree )
A motorist drove from town P to town Q, a distance of 80 km, in 30 minutes . What is his average speed?
Answers
Answer:
40km per hour
Step-by-step explanation:
30 minutes × 2 = 60 minutes/1 hour
80 kilometers ÷ 2 = 40 kilometers
40:60
Please help me: -3/4(8h + 12) = 3(n - 3)
Answers
Answer:
n = 0
Step-by-step explanation:
[tex]-\frac{3}{4}(8n+12)=3(n-3)\\\\-6n-9=3n-9\\\\-9n-9=-9\\\\-9n=0\\\\ n=0[/tex]
Answer:
n = 0
Step-by-step explanation:
-3/4(8h + 12) = 3(n - 3)
-6h - 9 = 3n - 9
-6h - 3n = -9 + 9
-9n = 0
n = 0
help me solve this i dont kow how to do this i was absent in class when my teaacher taught this doont send video just answer
Answers
8:-
[tex]\\ \sf \longmapsto 5x+20=40[/tex]
[tex]\\ \sf \longmapsto 5x=40-20[/tex]
[tex]\\ \sf \longmapsto 5x=20[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{20}{5}[/tex]
[tex]\\ \sf \longmapsto x=4[/tex]
9:-
As its a isosceles triangle
x=y[tex]\\ \sf \longmapsto x+y+60=180[/tex]
[tex]\\ \sf \longmapsto 2x+60=180[/tex]
[tex]\\ \sf \longmapsto 2x=120[/tex]
[tex]\\ \sf \longmapsto x=y=60[/tex]
and[tex]\\ \sf \longmapsto z=x+60÷60+60=120[/tex]
[3x - 4 × 5] bằng bao nhiêu
Answers
Answer:
-60
Step-by-step explanation:
cho tam giác ABC vuông tại A < góc B=a chứng minh: a) 1+[tex]tan^{2}[/tex]a=[tex]\frac{1}{sin^{2}a }[/tex]
làm giúp mình với
Answers
[tex]\\ \sf\longmapsto 1+tan^2A[/tex]
[tex]\boxed{\sf tanA=\dfrac{sinA}{cosA}}[/tex]
[tex]\\ \sf\longmapsto 1+\dfrac{sin^2A}{cos^2A}[/tex]
[tex]\\ \sf\longmapsto \dfrac{cos^2A+sin^2A}{cos^2A}[/tex]
[tex]\boxed{\sf cos^2A+sin^2A=1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{cos^2A}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{1-sin^2A}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{1}-\dfrac{1}{sin^2A}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{sin^2A}[/tex]
Hence verified
The ratio of the measures of the acute angles of a right triangle is $8:1$. In degrees, what is the measure of the largest angle of the triangle?
Answers
Answer:
The angles in the triangle and 10, 80 and 90
Step-by-step explanation:
The two angles that are left in a right triangle add to 90 degrees
8:1 means that there total is 9
8x+1x = 9x
9x = 90
Divide by 9
9x/9 = 90/9
x = 10
8*10 = 80
1*10 = 10
The angles are 80 and 10
The angles in the triangle and 10, 80 and 90
A team of 5people to be selected from 7women & 6men. Find the number of different teams that could be selected if there must be more women than men in the team
Answers
Answer:i would say 2 differentt teams where there is more then women than men in the team
Step-by-step explanation:
well how i came to this answer is that the team is limited to only 5 people giving the only team where there is more women over men is this first team would be 4 women and 1 men , second team would be 3 women and 2 men anything lower then 3 make its where the team has more men than women so the only options would be 2 team where either they go with 4 women or 3 women and you can't go with more then 4 because then there would be no men in the team which is what the question asks for please go with 2 teams
if this helps please make me brainlist ?!
Which of the following examples best represents the use of an interval scale? measuring the number of cookie boxes sold by scouts on the west coast of a town versus those sold on the east coast of the town naming the different car brands seen in a school's parking lot assessing students' ratings of their professors' performance on a five-point scale ranging from poor to excellent ranking the participants of a race based on their performance
Answers
Answer:
students' ratings of their professors' performance on a five-point scale ranging from poor to excellent
Step-by-step explanation:
There are four type of scales in mathematics. They include:
1. Nominal scale : they do not measure quantity. they are used to classify a population into two or more scales that are exhaustive and mutually exclusive. e.g. classifying a population based on gender, naming the different car brands seen in a school's parking lot
2. Ordinal scale : this scale measures ranks a population from best to worst or from least to most. e.g. ranking the participants of a race based on their performance
3. Interval scale : this scale has the property of order and equal intervals. Zero is not meaningful.
Interval scale is used when the difference between the numbers are meaningful. e.g. students' ratings of their professors' performance on a five-point scale ranging from poor to excellent Here a child who is scored 1, did very poorly and a child scored 5, performed excellently well.
4. Ratio scale : this scale has the property of order, a meaningful zero and equal intervals.
A computer vauled at $30,000 is depreciated to $0 value over a 6 year period. find the rate of change in the computer's value per year.
Answers
Answer:
$5000 per year
Step-by-step explanation:
Given data
initial value of the computer= $30000
Final value = $0
Duration= 6years
Hence the rate of change in the value per year is
=30000/6
=$5000 per year
if the radius of a sphere is7 cm find its volume
Answers
Answer:
1437.33 cm square
Step-by-step explanation:
Now we will use the frmula to et the volume of a sphere
volume of sphere is
4÷3pi r cube
where r is the radius of the sphere
A line passes through the point (0-4) and has a slope of 3/2
What is the equation of the line?
A. 3x – 2y = 8
B. 6x+4y=-8
C. 2x+4y=-1
D. 3x – 2y = 8
Answers
Answer:
y = 3/2 - 4
A. is the answer
A. 3x – 2y = 8
Step-by-step explanation:
3x – 2y = 8
-2y =8 - 3x
y = - 4 + 3/2x
y= 3/2x - 4
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{3}{2}[/tex] and c = - 4 , then
y = [tex]\frac{3}{2}[/tex] x - 4 ← equation in slope- intercept form
Multiply through by 2 to clear the fraction
2y = 3x - 8 ( subtract 2y from both sides )
0 = 3x - 2y - 8 ( add 8 to both sides )
8 = 3x - 2y , that is
3x - 2y = 8 ← in standard form → D
Craig wants to prove that if quadrilateral ABCD has diagnols that biscet each other then it is a parallelogram
Answers
Solution :
Consider quadrilateral ABCD is a parallelogram. The parallelogram have diagonals AC and DB.
So in the given quadrilateral ABCD, let the diagonal AC and diagonal DB intersects at a point E.
Thus in the quadrilateral ABCD we see that :
1. AC and DB are the diagonals of quadrilateral ABCD.
2. Angle DCE is congruent to angle BAE and angle CDE is congruent to angle ABE. (they are alternate interior angles)
3. Line DC is congruent to line AB. (opposites sides are congruent in a parallelogram )
4. Angle ABE is congruent to angle CDE. (Angle side angle)
5. Line AE is congruent to line EC. And line DE is congruent to line EB. (CPCTC)
Thus we see that if the diagonals of a [tex]\text{quadrilateral bisects each other}[/tex], then the quadrilateral is a parallelogram.
Answer:
△ABE and△CDE by side-angle-side
Which of the following statements is false?
A. Opposite sides of a parallelogram are congruent.
B. The diagonals of a parallelogram bisect each other.
C. A rhombus is a parallelogram.
D. A rhombus is a regular polygon.
Answers
Answer:
D
Its isnt a regualr polygon because its sides are not all equilingular like a sqaure triangle octagon and so on
It is known that seventy percent (70%) of married couples paid for their honeymoon themselves. You randomly select 9 independent married couples and ask each if they paid for their honeymoon themselves. Let our random variable be X = the number of married couples that paid for their honeymoon themselves. What is the probability that all married coupled asked stated they paid for their honeymoon themselves? (Round your answer to four decimal places).
Answers
Answer:
0.0404 = 4.04% probability that all married coupled asked stated they paid for their honeymoon themselves.
Step-by-step explanation:
For each couple, there are only two possible outcomes. Either they paid for their honeymoon, or they did not. The probability of a couple having paid for their honeymoon is independent of any other couple, which means that the binomial probability distribution is used 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.
It is known that seventy percent (70%) of married couples paid for their honeymoon themselves.
This means that [tex]p = 0.7[/tex]
You randomly select 9 independent married couples.
This means that [tex]n = 9[/tex]
What is the probability that all married coupled asked stated they paid for their honeymoon themselves?
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_{9,9}.(0.7)^{9}.(0.3)^{0} = 0.0404[/tex]
0.0404 = 4.04% probability that all married coupled asked stated they paid for their honeymoon themselves.
find the missing side. Round it to the nearest tenth.
Answers
Answer:
14.3
Step-by-step explanation:
sin73 = opposite/hypotenuse = x/15
x = 15sin73 = 14.344571 = 14.3
Find the value of x.
Answers
Answer:
A - 55 degrees
Step-by-step explanation:
secant-tangent angle: 1/2(larger-smaller)
1/2(180-70)
1/2(110)
55 degrees
Find the area of triangle ABC.
[PLEASE HELP ME!!]
A.12.16units
B.18.52units
C.31.27units
D.15.14units
Answers
Answer:
D
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] × product of 2 sides × sine ( angle between them ) , that is
A = 0.5 × 5.04 × 6.82 × sin61.73° ≈ 15.14 ( to 2 dec. places )
A sample is generated from a population of 20 items. Each of the 20 items are given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample. This is an example of a __________.
A. systematic sample
B. random sample
C. convenience sample
D. self-selecting sample
Answers
Answer:
Option B, random sample
it should be the answer
The given information is an example of a random sample. The correct option is B.
What is a random sample?In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.
It is given that A sample is generated from a population of 20 items. Each of the 20 items is given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample.
The above information is an example of a random sample. Follow the given definition above.
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What is the approximate value of x in the diagram below
Answers
Answer:
x = 8 cm
Step-by-step explanation:
The first step in solving this problem is to determine which trig function applies. The diagram shows that this triangle is a right triangle, that side x is opposite the 25-degree angle, and that the hypotenuse has a length of 18 cm.
The sine function of an angle Ф is defined as the ratio of the opposite side to the hypotenuse. In this case, sin Ф (or sin 25 degrees) equals x/(18 cm).
We need to determine the value of x. Adapt the above equation to this particular situation: sin 25 degrees = x/(18 cm).
To solve for x, multiply both sides of the most recent equation, above, by (18 cm). The following results: (18 cm)(sin 25 degrees) = x.
Next, use a calculator to find the value of sin 25 degrees: It is 0.4226.
Then the desired value of x is (18 cm)(0.4226), or x = 7.61 cm. This should be rounded off to x = 8 cm to reflect the level of accuracy of the given 18 cm.
help me with math pls;(
Answers
Answer:
as it is cbe the volume of cube is l*l*l
Step-by-step explanation:
the answercis 5*5*5= 125
please mark brainliest
Mrs. Sprott is planting a square garden in her backyard. The garden will
measure x feet on each side. Which function will give F(x), the area in
square feet of the garden?
Answers
Answer:
The answer the above question is f(x) = x²
Answer:
fdybg
gyani
2574387y
sngsrh
funddhhtffdsdnjjj
what is a possible solution to the inequality?
1/4a +1 > 9
Answers
Answer:
a > 32 is one possible solution to the inequality 1/4a +1 > 9.
Step-by-step explanation:
Aaron's car used 2 gallons of gas to drive 32 miles. At what rate does his car use gas in miles per gallon?
Answers
Answer: 16miles per gallon
Step-by-step explanation:
If he went 32 miles with 2 gallons then divide both sides by 2 to get 16 miles with 1 gallon so he travels 16 miles per gallon
Hunter assumed he would only get 64
problems correct on his test, but he
actually got 78 correct. What was his
percent error
Round to the nearest percent.
Answers
Answer:
22%
Brainliest, please!
Step-by-step explanation:
78 - 64 = 14
14 / 64 = 0.21875
= 22% (when rounded)
find a number such that when 3/4 of it is added to 3½the sum is the same as when 2/3 of it is subtracted from 6½. PLEASE HELP
Answers
Answer:
- 120
Step-by-step explanation:
call x is the number you want to find
(3/4 )x + 3[tex]\frac{1}{2}[/tex] = (2/3)x - 6[tex]\frac{1}{2}[/tex](3/4)x + (7/2) = (2/3)x - (13/2)(3/4)x - (2/3)x = - (13 /2) - (7/2)(1/12)x = -10x = -10 / (1/12) = -120