Experimenters show a link between adult-onset diabetes and obesity is most likely a causal relationship. Option C is correct.
What exactly is a causal connection?A causal relationship exists when one variable in a data set directly affects another variable.
As a result, one thing triggers another to happen. A causal link is also known as cause and effect.
According to studies and experiments, there is a clear causal link between adult-onset diabetes and obesity. A causal relationship demonstrates that one occurrence is the cause and the other is the outcome.
Researchers have found what is most likely a causal association between adult-onset diabetes and obesity.
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f(0) = -5; f(n) = f(n - 1) + 8
Answer: f(-1)=-13
Step-by-step explanation:
f(0) = -5
f(n) = f(n - 1) + 8
f(0) = f(0 - 1) + 8
-5 =f(-1) + 8
f(-1)=-13
factorise x*x+5x+6............
b. Find the common ratio for a geometric sequence that includes the terms from part (a) as its first three terms.
The common ratio of the geometric sequence can be determined by finding the dividing any of the given term in the geometric sequence, n by the preceding term n-1.
The geometric sequence from part a is 2,4,8,…
Geometric sequence is a series of number that increases or decreases by a constant ratio called a common ratio. Each term in the sequence is the product of the common ratio and the previous term.
Hence, common ratio r = nth term/n-1 term
For the given geometric sequence,
r=2nd term/1st term=3rd term/2nd term
r=4/2=2 or
r=8/4=2
The common ratio of the geometric sequence 2,4,8,… is 2
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If z varies directly with the product of x and y(z=k x y) , then z is said to vary jointly with x and y .
b. Suppose q varies jointly with v and s , and q=24 when v=2 and s=3 . Find q , when v=4 and s=2
The value of q for the given relation will be 32.
What is direct variation?
A sort of proportionality known as "direct variation" occurs when one quantity immediately changes in response to a change in another variable.
This suggests that if one number increases, the other quantity will also rise proportionately. Similar to the last example, if one quantity declines, the other amount likewise declines. The link between direct variation and the graph will be linear, resulting in a straight line.
As q varies jointly with v and s,
It implies that
q = k v s
Given,
q=24 when v=2 and s=3
24 = k × 2 × 3
k = 24 / 2 × 3
k = 4
When we put v = 4 and s = 2
⇒ q = 4 × v × s
⇒ q = 4 × 4 × 2
⇒ q = 32
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End behavior
please explanation required! :3
Step-by-step explanation:
it is simple for such a line.
x goes to -infinity, and therefore y (or f(x)) also goes to -infinity.
x goes to +infinity, and therefore y (or f(x)) also goes to +infinity.
the difference between x and y values is just a constant factor (the slope). that constant factor becomes irrelevant, when the values approach infinity anyway. only the sign is relevant.
but in our case the slope is +1/+2 (the y value increases by +1 for every increase of x by +2).
so, the line (as we can see in the graph) is
y = 1/2 × x - 1
when x goes to +infinity, "-1" is irrelevant, and
1/2 × +infinity = +infinity.
when x goes to -infinity, again, "-1" is irrelevant, and
1/2 × -infinity = -infinity
Determine whether each set of numbers can be the measure of the sides of a triangle. If so, classify the triangle as acute, right, or obtuse. Justify your answer.
c. 6.2,13.8,20
Yes, the given set of numbers can be the measures of the sides of a triangle. The triangle is acute.
By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.
6.2 + 13.8 > 20
13.8 + 20 > 6.2
20 + 6.2 > 13.8
Hence, these set of numbers can be the measures of the sides of a triangle.
According to the Pythagorean Inequality Theorem, a triangle whose sides measure a, b, and c where c is the largest, the triangle can be characterized as:
acute if [tex]a^{2} + b^{2} < c^{2}[/tex]
obtuse if [tex]a^{2} + b^{2} > c^{2}[/tex]
right if [tex]a^{2} + b^{2} = c^{2}[/tex]
∴The longest side is 20.
Hence, a = 6.2, b = 13.8 and c = 20;
Consider [tex]a^{2} + b^{2}[/tex] :
= [tex]6.2^{2} + 13.8^{2}[/tex]
= 228.88.
Now consider [tex]c^{2}[/tex] :
= [tex]20^{2}[/tex]
= 400.
Thus, [tex]a^{2} + b^{2} < c^{2}[/tex].
Hence, the triangle is acute.
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HELP Solve for x. x/2≥4
Answer:
x ≥ 8
Step-by-step explanation:
x
------- ≥ 4(2)
2(2)
x ≥ 8
[8, ∞)
I hope this helps!
Determine whether \triangle X Y Z is an acute, right, or obtuse triangle for the given vertices. Explain.
X(-3,-2), Y(-1,0), Z(0,-1)
Triangle XYZ with vertices X(-3 , -2), Y(-1 , 0), and Z(0 , -1) is a right triangle.
First, using the distance formula, find the length of each side of the triangle: side XY, side XZ, and side YZ.
d = √(x2 - x1)^2 + (y2 - y1)^2
side XY : d = √(-1 - -3)^2 + (0 - -2)^2 = √4 + 4 = 2√2
side XZ : d = √(0 - -3)^2 + (-1 - -2)^2 = √9 + 1 = √10
side YZ : d = √(0 - -1)^2 + (-1 - 0)^2 = √1 + 1 = √2
Next, check if it follows the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.
let a = XY = 2√2, b = XZ = √10, and c = YZ = √2
a + b > c 2√2 + √10 > √2 5.99 > 1.41 True
a + c > b 2√2 + √2 > √10 4.24 > 3.16 True
b + c > a √10 + √2 > 2√2 4.58 > 2.83 True
Lastly, to know what type of triangle based on the length of its side,
1. Take the sum of the squares of the two smaller sides.
(√2)^2 + (2√2)^2 = 10
2. Compare it to the square of the largest side.
(√10)^2 = 10
10 = 10
If the sum of the squares of the 2 is larger than the square of the 3rd, it is an acute triangle.
if they are equal, it is a right triangle.
if they are smaller, then it is an obtuse triangle.
Hence, triangle XYZ is a right triangle.
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WILL GIVE U BRAINLIEST AND EXTRA POINTS
Answer: 1st image: option 2
2nd image: (x, y) ==> (x+4, y-9) ==> option 4
Step-by-step explanation:
1st image: Reflection over the y-axis means that all x-coordinates are negated while the y-coordinates remain the same.
A: (2, -2) ==> A' (-2, -2)
B: (-2, 5) ==> B' (2, 5)
C: (-4, 2) ==> C' (4, 2)
Answer: option 2
A to A', B to B', C to C'
Purple to Blue
2nd image: 1st, the purple triangle moves 4 units to the right (x ==> x+4)
Then, the purple triangle moves 9 units down to become the blue triangle (y ==> y-9)
(x, y) ==> (x+4, y-9) ==> option 4
Answer: its b
Step-by-step explanation:
Eli runs a distance of 15 miles in 2hrs. Jess runs a distance of 4 miles in 1/2 of an hour. Who has the faster speed? Use vocabulary.
Answer:
Eli has the faster speed than Jess.
what is (8+(-3))(-5 ⅗ )=
Answer:
Step-by-step explanation:
The equation of a line is y + 5 = 6x + 13
What is the value of y at the point where the line crosses the y-axis?
Answer:
y=8
Step-by-step explanation:
The equation: y=mx+c
First you have to turn this equation into a proper equation (y=mx+c).
m = gradient
c = y-intercept (where the line goes through the y-axis).
To turn this into a proper equation, you have to isolate the y by subtracting 5 from both sides (because whatever you do to one side, you have to do the same to the other side).
So you subtract 5 by 5 and subtract 5 from 13. *You do not subtract 5 from 6x.
This will give you and answer of y=6x+8.
m = gradient = 6
c = y-intercept = 8
So the value of y is 8.
C
D₁
F
LL
A
DF EB and EF = AD
DF = 18
E
=
mZDEF = 61°
mZDCF = [? ]°
B
The angle of the parallelogram is mZDCF= 61°
DF= EB and EF = AD
DF =18, mZDEF =61°
□CDEF is parallelogram, so mZDEF =61°
With two sets of parallel sides, a parallelogram is a quadrilateral. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. The total internal angles add up to 360 degrees.
The term "parallelepiped" refers to a three-dimensional shape with parallelogram-shaped faces. The parallelogram's base (one of its parallel sides) and height (the distance between its top and bottom elevations) determine its area. The lengths of the four sides determine a parallelogram's perimeter.
A parallelogram's characteristics are shared by the shapes of a square and a rectangle. Rhombus: A parallelogram is a rhombus if all of its sides are congruent or equal to one another.
Hence, the angle of the parallelogram is mZDEF =61°
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Find x and z the graph is right below
Answer:
x = 16
z = 90°
Step-by-step explanation:
The angle with the measure (10x - 70) and the angle with measure (5x+10) are supplementary angles and their sum is equal to 180 so it's safe to write the following equation:
10x - 70 + 5x + 10 = 180 add like terms
15x - 60 = 180 add 60 to both sides
15x = 240 divide both sides by 15
x = 16
The angle represented with z and the angle with measure (10x - 70) are also supplementary because they are on a straight line so we can write the following equation to find the value of z:
z + (10*16-70) = 180 calculate inside the parenthesis
z + 90 = 180 subtract 90 from both sides
z = 90°
Find the coordinates of the orthocenter of each triangle with the given vertices. J(3,-2), K(5,6), L(9,-2)
The orthocenter of a triangle is the point at which the perpendicular lines drawn from the vertices to the opposite sides of the triangle intersect. The coordinates of the orthocenter of ΔJKL is (5, -1).
What is meant by orthocenter of a triangle?The orthocenter of a triangle is the point at which the perpendicular lines drawn from the vertices to the opposite sides of the triangle intersect. The orthocenter of an acute angle triangle is located within the triangle. The orthocenter of the obtuse angle triangle is located outside the triangle.
The slope of JK is (6+2)/(5-3) or 4.
So, the slope of the altitude, which is perpendicular to JK is -1/4.
Now, the equation of the altitude from L to JK is:
y + 2 = -1/4 (x - 9)
y = -1/4x + 1/4
Use the same method to find the equation of the altitude from J to KL. That is, y + 2 = 1/2 (x - 3) or y = 1/2x - 7/2.
Solve the equations to find the intersection point of the altitudes.
-1/4x + 1/4 = 1/2x - 7/2
simplifying the above equation, we get
-1/4x - 1/2x = - 7/2 - 1/4
-3/4x = - 15/4
x = 5
y = -1/4(5) + (1/4)
simplifying the above equation, we get
= -4/4
y = -1
Therefore, the coordinates of the orthocenter of ΔJKL is (5, -1).
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Which algebraic expression models the word phrase two times the sum of a and b ?
(f) a+b
(g) 2 a+b
(h) 2(a+b)
(i) a+2 b
The algebraic expression models for the word phrase two times the sum of a and b is 2(a+b)
Given,
The word phrase : Two times the sum of a and b.
Sum of a and b = a+b
2 times the sum of a and b = 2(a+b)
Hence, the algebraic expression models for the word phrase two times the sum of a and b is 2(a+b)
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factor x^4+2x^2-10x^2=0
solve for n: n>0,x=0
or
solve for x : x=0,n>0
A group of friends wants to go to the amusement park. They have no more than $115
to spend on parking and admission. Parking is $15, and tickets cost $25 per person,
including tax. Write and solve an inequality which can be used to determine à, the
number of people who can go to the amusement park.
Answer:
115 ≤ 25a+15
-15. -15
100 ≤ 25a
100/25 ≤ 25/25 a
4≤a
Answer:
25x + 15 > 115
Step-by-step explanation:
Subtract 15 from both sides
25x+15-15 > 115-15
Simplify
25x > 100
Divide both sides by 25
25x/25 > 100/25
Simplify
x > 4
Sorry if it doesn't help
Which graph represents the inequality 2.5 is less than the product of −0.5 and a number?
Answer: x<-5
Step-by-step explanation:
[tex]2.5 < (-0.5)(x)\\2.5 < -0.5x\\[/tex]
Multiply both parts of the equation by 2:
[tex]5 < -x\\5+x < -x+x\\5+x < 0\\5+x-5 < 0-5\\x < -5[/tex]
Answer:
d
Step-by-step explanation:
by definition of supplementary angles, 1 + 2= ______(a) and 2 + 3=______(b). then 1+2=2+3 by the_____(c). Subtract 2 from each side. you get 1=____ (d)or 1=____(e)
By the definition of supplementary angles, angle 1 + angle 2 = 180° and angle 2 + angle 3 = 180°. Then angle one + angle 2 = angle 2 + angle 3 = 180°. Subtract angle 2 from each side. You get angle 1 = Angle 3 or angle 1 ≅ angle 3.
What are supplementary angles?It should be noted that supplementary angles are the angles that their sum equals to 180°.
Therefore, angle 1 + angle 2 = 180° .... i
angle 2 + angle 3 = 180° .... ii
Equate equation i and ii and subtracting angle 2 from both sides will illustrate that angle 1 = angle 3.
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Complete the paragraph proof.
Given: angle 1 and angle 2 are supplementary, and angle 2 and angle 3 are supplementary.
Prove: angle 1 ≅ angle 3
By the definition of supplementary angles, angle 1 + angle 2 = _____(a) and angle 2 + angle 3 = ____ (b). Then angle one + angle 2 = angle 2 + angle 3 ______(c). Subtract angle 2 from each side. You get angle 1 = ______(d), or angle 1 ≅ ______(e).
What is the slope of the line that passes through the given points?
c. (9,3) and (9,-4)
The value of Slope is undefined for given points.
What is the slope of line?A Line's Slope
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks.
The formula to calculate the slope is
Slope of the line passing through 2 points is y₂ - y₁ / x₂ - x₁
points given are (9,3) and (9,-4)
after putting it in the formula,
⇒ -4 - 3 / 9 - 9
It implies that the slope is undefined.
Line is parallel to y axis, x = 9
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BLANK HUNDREDS IS THE SAME AS 4 THOUSANDS
Answer:
The answer is 40. If you divide 4000 by 100 you get 40. Hopefully this is what you were looking for.
Step-by-step explanation:
4000/100=40
Answer:
_00 x 10 = _000 (100 x 10 = 1000 basically).
40 x 100 = 4000
so..
40 hundreds is the same as 4 thousands.
A
2x
Find the value of x.
D
x+5
B
4
E
3
C
PLEASE HELP
Answer: x = -5
Step-by-step explanation:
If you answer this right then you are smert
What is 9+10?
Answer:
21
Step-by-step explanation:
i got it from that little mathemetician
solve the equation: 6(3x - 4) + 54 = -3(x + 11)
Answer:
x = -3
Step-by-step explanation:
6(3x-4) + 54 = -3(x+11)
18x-24+54 = -3x-33 Multiply 3x and -4 by 6 this means distributive
property. Next, multiply x and 11 by -3.
18x+30 = -3x-33 Next, combine -24 and 54 which equals 30.
-30 -30 Next, subtract 30 from both sides to leave 18x by itself.
18x = -3x-63
+3x +3x Next, add 3x to both sides to leave -63 by itself.
21x = -63
/ /
21 21 Divide 21 on both sides to leave x by itself.
x = -3
Write the contrapositive of the statement. If an angle measures greater than 90°, then it is obtuse.
The contrapositive of the statement will be : if it is not obtuse, then an angle does not measure greater than 90° .
We need to know about conditional and contrapositive statement to solve this problem.
A conditional statement takes the form "If p, then q" where p is the hypothesis while q is the conclusion. So, here in this problem p is 'an angle measures greater than 90° and q is it is obtuse.
The Contrapositive of a Conditional Statement is obtained by supposing that you have the conditional statement p→ q. Now, we first find the inverse of the given conditional statement then swap the roles of hypothesis (p) and conclusion (q) . Therefore, the contrapositive of the conditional statement p→ q is ~q → ~p.
Thus, contrapositive of the statement : If an angle measures greater than 90°, then it is obtuse will be if it is not obtuse, then an angle does not measure greater than 90° .
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guys please I had a zero on this
I just need help
Using conversion from fraction to decimal and rational numbers, we have that:
7. The fraction that has a corresponding decimal greater than 1 is 4/3.
8. One rational number between 7 and 8 is given by option a, which is 7.83838383...
How to convert a fraction to decimal?A fraction is converted to decimal dividing the numerator by the denominator.
In item 7, we consider fraction 4/3, for which:
The numerator is 4.The denominator is 3.Hence the corresponding decimal is given as follows:
4/3 = 1.333, which is the result of the division of 4 by 3, and is greater than 1.
What are rational numbers?The set of rational numbers is composed by all numbers that can be represented by fractions, such as integer, terminating decimals and repeating decimals.
In item 8, option a, we have the number 7.83, with the bar at 83. This means that 83 is the repeating decimal part, that is, the rational number is 7.83838383...
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Solve each equation or inequality.
|2 x|+4<7
3/2 < x <3/2 is the inequality for the equation |2 x|+4<7
For positive case
⇒ |2 x|+4 < 7
⇒ 2 |x| < 3
⇒ x < 3/2
And for negative case
⇒ x > -3/2
Thus, -3/2 < x <3/2
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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Divide 7/15 by 3/5
A. 7521
B. 21/75
C.7
D.725
A random survey was conducted to determine where families vacationed. The results indicated that P(B)=0.6, P(B ^M)=0.2 , and the probability that a family did not vacation at either destination is 0.1 .
a. What is the probability that a family vacations in the mountains?
The probability that a family vacations in the mountains is 0.3
What is termed as Venn diagram?A Venn diagram is a diagram that uses circles to depict the relationships between things or finite collectives of things. Circles that overlap share characteristics, whereas circles that don't overlap do not.
Refer the Venn diagram.
The probability of a family vacationing at the beach is P(B) [the a whole blue circle] = 0.6,
The probability of a family vacationing at both locations is P(B∩M) [the red/blue overlapping intersection of a two circles] = 0.2.
P(only B) [the blue just background] = 0.6 - 0.2 = 0.4 is the probability which a family vacationed only on the beach.
P(neither) [a white background] = 0.1 is the possibility that a family vacationed at none of location.
Remember that the probability sum is 1.
P(M) [a entire red circle] = 1 - 0.1 - 0.4 = 0.5 is the probability which a family vacationed with in mountains.
As a result, the probability of a family vacationing only in the mountains is P(only M) [a red only background] = 0.5 - 0.2 = 0.3.
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