The equation that represents the relationship between infant mortality rate (IMR) and average life expectancy (ALE) is ALE = 70 - 0.05 \(\times\) IMR.
In this equation, the y-intercept of 70 represents the average life expectancy when the infant mortality rate is zero.
This implies that even without any infant deaths, the expected average life expectancy would be 70 years.
The slope of -0.05 indicates that for every one-unit increase in the infant mortality rate, the average life expectancy decreases by 0.05 years.
This suggests that higher infant mortality rates are associated with lower average life expectancies.
The negative slope is indicative of an inverse relationship between IMR and ALE.
As the infant mortality rate increases, it has a detrimental effect on average life expectancy.
This relationship is supported by the research that shows higher infant mortality rates are associated with poorer health outcomes and lower life expectancies.
It's important to note that this equation assumes a linear relationship between IMR and ALE.
In reality, the relationship may be more complex, and other factors not included in the equation could also influence average life expectancy. Nonetheless, the given equation provides a simple representation of the relationship between IMR and ALE based on the provided information.
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George bought 3 peppers for a cost of $0.40 each. How much will he pay for the peppers?
Answer:
Hey there!
Three peppers of 0.40 dollars each would be 0.4+0.4+0.4, or 1.2 dollars.
Hope this helps :)
Given points A(-1,4) and B(x,7), determine the value(s) of x if AB=5cm
The value of x is either 3 or -5 based on the distance formula.
What is a co-ordinate system?
In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.
Main body:
according to question
Given points A(-1,4) and B(x,7)
Also AB = 5 cm
Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)
here by using points ,
5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)
taking square on both side ,'
25 = \((x+1)^{2} +3^{2}\)
25-9 = (x+1)²
16 = (x+1)²
taking square root on both sides,
x+1= ±4
x = 4-1 = 3 or x = -4-1 = -5
Hence value of x is either 3 or -5.
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What are the x-intercepts of the graph of the x-intercepts of the graph of are?.
The x-intercept is a point of the form (x,0)
What is the x-intercept?
The intersection of a function or equation's graph with the x axis is known as the x intercept. This can be compared to a point having a value of 0.
For any given curve, the x-intercept is a coordinate that is plotted on the x-axis. To put it another way, the x-intercept is the value of the x coordinate at the point where the graph crosses the x-axis, or we can say that it is the value of the x coordinate at a point where the value of the y coordinate equals zero.
Due to its location on the horizontal axis, this is also known as the horizontal intercept.
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1. What is the percent as a decimal? 73% *
O
0.73
7.3
0.0073
Ο Ο
730
Answer:
0.73
Step-by-step explanation:
Answer:
0.73 correct me if I'm wrong
Which property is illustrated by the equation below?
(7+6) +4= 7+ (6 + 4)
associative property
O commutative property
distributive property
O identity property
Answer:
We conclude that the question illustrates associative property.
help plz i suck at math
I don't know sorry kid
Step-by-step explanation:
Answer:
x=17.17
Step-by-step explanation:
follow the photo to get answer for x, i don't know about the rest of them sorry
A right triangle has a leg of 11 and a hypotenuse of 16. Find the missing leg (in simplest radical form)
Answer:
11.6
Step-by-step explanation:
a^2 + b^2 = C^2
121 + b^2= 256
b^2 = 135
b = 11.6
-[-/7.14 Points] DETAILS LARPCALC11 6.4.036. Find the angle (in radians) between the vectors. (Round your answer to two decimal places.) u = 4i - 6j v = 5i + 4j 0 =
4. [-/7.14 Points] DETAILS LARPCAL
The angle (in radians) between vectors u and v is approximately 1.66 radians, rounded to two decimal places.
To find the angle between two vectors, we can use the dot product formula and the magnitudes of the vectors. Let's calculate the angle between vectors u and v:
Given:
u = 4i - 6j
v = 5i + 4j
Step 1: Calculate the dot product of u and v.
The dot product of two vectors u and v is given by:
u · v = |u| |v| cosθ
where |u| and |v| are the magnitudes of vectors u and v, respectively, and θ is the angle between them.
To calculate the dot product, we multiply the corresponding components of u and v and sum them:
u · v = (4 * 5) + (-6 * 4) = 20 - 24 = -4
Step 2: Calculate the magnitudes of vectors u and v.
The magnitude of a vector is given by:
|u| = √(u₁² + u₂²)
For vector u:
|u| = √((4)² + (-6)²) = √(16 + 36) = √52 ≈ 7.21
For vector v:
|v| = √((5)² + (4)²) = √(25 + 16) = √41 ≈ 6.40
Step 3: Calculate the angle θ.
Using the dot product formula mentioned earlier, we have:
-4 = (7.21)(6.40)cosθ
Solving for cosθ:
cosθ = -4 / (7.21 * 6.40) ≈ -0.086
To find θ, we can take the inverse cosine (arccos) of cosθ:
θ ≈ arccos(-0.086) ≈ 1.66 radians
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What are the 3 linear functions?.
Answer:
point-slope form, standard form, and slope-intercept form
Step-by-step explanation:
The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.
Here is an image with each form
A map scale compares a map distance with?
Answer:
RATIO
Step-by-step explanation:
someone help again pls
“write a cubic function who’s graph passes through the given points”
The cubic function whose graph passes through the given points is defined as follows:
y = -2(x³ - 4x² + x + 6).
How to define the cubic function?The cubic function is defined by the Factor Theorem, as a product of it's linear factors.
The x-intercepts of the function are given as follows:
x = -1.x = 2.x = 3.Hence the linear factors of the function are given as follows:
x + 1.x - 2.x - 3.As a product of the linear factors, the function is defined as follows:
y = a(x + 1)(x - 2)(x - 3)
y = a(x² - x - 2)(x - 3)
y = a(x³ - 4x² + x + 6).
When x = 0, y = -12, hence the leading coefficient a is obtained as follows:
6a = -12
a = -2.
Thus:
y = -2(x³ - 4x² + x + 6).
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15 Points! Brainiest if right! 1 Heart! 5 Stars! Please help!
What is the initial value of the function represented by this graph?
A coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 1 with the ordered pair 6, 7. (this describes the attachment if you can't upload or see it.)
1
5
6
7
Answer: (0,1)
Step-by-step explanation:
The initial value is simply the starting value of the graph, so it is where the graph starts
Which statement describes the graph of this polynomial function?
f(x)= x4+ x3 - 2x2
The graph crosses the x-axis at x = 2 and x = -1 and touches the x-axis at x = 0.
The graph touches the x-axis at x = 2 and x = -1 and crosses the x-axis at x = 0.
O The graph crosses the x-axis at x = -2 and x = 1 and touches the x-axis at x = 0.
The graph touches the x-axis at x = -2 and x = 1 and crosses the x-axis at x = 0.
Answer:
Option (3)
Step-by-step explanation:
Given function is,
f(x) = x⁴ + x³ - 2x²
= x²(x² + x - 2)
= x²(x² + 2x - x - 2)
= x²[x(x + 2) - 1(x + 2)]
= x²(x + 2)(x - 1)
So the factored form of the polynomial function is,
f(x) = x²(x + 2)(x - 1)
For x - intercepts,
F(x) = x²(x + 2)(x - 1) = 0
x = -2, 1
This function has even multiplicity = 2 at x = 0.
Therefore, graph of the function will touch the x-axis at x = 0
And at other roots x = -2, 1 has odd multiplicity = 1, so the graph will cross the x-axis.
Option (3) will be the correct option.
2 fractions with different denominators that add up to 6 1/3
The two fractions with denominators of 2 and 6 that add up to 19/3 are 3/6 and 29/3, respectively.
First, let's break down what that mixed number means in terms of fractions. 6 1/3 is the same as 19/3.
Now, we need to find two fractions with different denominators that add up to 19/3. One way to do this is to use a common denominator. To find a common denominator, we need to find the least common multiple (LCM) of the two denominators.
Let's say we want to find two fractions that add up to 19/3, with denominators of 2 and 6. The LCM of 2 and 6 is 6. So, we can rewrite the fractions with a denominator of 6:
1/2 = 3/6
x/6
Now we need to find the value of x that makes the sum of the fractions equal to 19/3:
3/6 + x/6 = 19/3
To solve for x, we can multiply both sides by 6:
3 + x = 38/3
Then, we can subtract 3 from both sides:
x = 29/3
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Factor the expression completely. 10x^5 -7×^3?
Answer:
there is your answer hope that helps
Adi bought a bag for $25 and sold it at a loss of 10%. Find the selling price of the bag.
Answer:
The selling price of the bag is $22.5
Step-by-step explanation:
Buying Price = $25,
Selling Price = ?
Since they sold it at a loss of 10%,
So, they sold it for a price 10% less than the buying price,
or at 90% or 0.9 of the buying price,
so,
Selling Price = (0.9)(25) = $22.5
350cm³ to 1 litre as a ratio in its lowest terms
We need to know about ratio to solve the problem. The ratio of 350\(cm^{3}\) to 1 litre as a ratio in its lowest terms is 7:20.
Ratio is the measure of how many times one number contains another in it. We can find the ratio of one quantity to another by dividing one by the other by cancelling out the common factors between the two. We have to find the ratio of 350\(cm^{3}\) to 1 litre in its lowest terms. The lowest terms for both the quantities is \(cm^{3}\). We know that 1 litre =1000\(cm^{3}\), we will convert the 1 litre to 1000\(cm^{3}\) for calculating the ratio.
The ratio of 350 \(cm^{3}\) to 1 litre =350/1000=35/100=7/20= 7:20
Therefore we found the ratio of 350 \(cm^{3}\) to 1 litre in its lowest terms to be 7:20 by using the concept of ratio.
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Which is solution to the question (x-3)(x-5)=35
X = -8
X = -5
X = 2
X = 10
Jim gets $50 every 10 minutes, He needs $114058 to buy something. How many hours will he need to get $114058?
Answer:
380.2 hours
Step-by-step explanation:
find how much he receives an hour:
$50/10min × 6 = $300/hr
find out the number of hours it takes:
$114,058 ÷ $300 = 380.19hours
≈ 380.2 hours (to 1 decimal point)
When the demand curve is vertical the demand?
A demand that is completely inelastic is one in which a change in price has no impact on the quantity demanded. The demand curve in this situation is vertical, and there is no demand elasticity.
What is demand curve?A demand curve in economics is a graph showing the relationship between the price of a specific good (the y-axis) and the amount of that good that is desired at that price (the x-axis). Demand curves can be applied to both the price-quantity relationship for a single consumer (an individual demand curve) and for all consumers in a specific market.
Demand curves are typically thought to slope downward, as the adjacent image illustrates. This is due to the law of demand, which states that for the majority of goods, the quantity demanded decreases as the price increases. This law does not apply in some peculiar circumstances. These include Veblen goods, Giffen goods, and speculative bubbles, in which consumers are drawn to a commodity if its price increases.
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Jon recently drove to visit his parents who live 528 miles away. On his way there his average speed was 14 miles per hour faster than on his way home (he ran into some bad weather). If Jon spent a total of 22 hours driving, find the two rates.
Answer:
speed while going = 42, while returning home = 28
Step-by-step explanation:
let his speed on the way to his parents house is (x)
then his speed while returning is x - 14
Time = Distance / speed
528 / x + 528 / x -14 = 22
multiplying the denominator ...
528x + 528x +7392 = 22x^2 +14x
1056x + 7392 = 22x^2 + 308x
0 = 22x^2 -748x -7392
"dividing by 22"
0 = x^2 -34x-336
0 = (x+8) (x-42)
x must be 42
finally jon's speed while back home is 42 - 14 = 28
Luke is making a gelatin dessert to bring to a picnic. He combines strawberry gelatin and lemon gelatin in a large tray. Then, he decides to make a smaller tray to keep at home. In the small tray, he combines half the amount of strawberry gelatin and half the amount of lemon gelatin. Which tray of gelatin will taste more like lemon?
The tray of gelatin with a higher proportion or ration of lemon gelatin will taste more like lemon.
What is a proportion or ratio?In mathematics, ratios are used to describe the amount of one element compared to another. For example, if the ratio is 2/3 (green apples vs red apples) it means that there are 3 red apples for every two apples.
What is the ratio in the gelatin trays?Big tray: It is known Luke added both strawberry and lemon gelatin but there is no information about the ratio or amount added.Small tray: It is known Luke added the same amount of strawberry gelatine and lemon gelatine. Therefore the ratio is 1:1, which means both flavors will be equally strong.Based on this, the tray of gelatin that will taste more like lemon depends on which tray has a higher rate for lemon. For example, if the big tray has a ratio of 2:1 (lemon vs gelatin) this will taste more like lemon than the small tray.
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Answer:
Both Trays Taste The Same
Step-by-step explanation:
I'm Sorry If It's Wrong
Compare the following fractions: 6/18________ 1/3*
O <
O =
O >
Answer: =
Step-by-step explanation: you reduce 6/18 and get 1/3 which is equal
which of the following is a true statement?select one:interval is the name of a particular octave sizeoctave is the name of a particular interval sizethe fifth is a kind of octavea synonym for distance is octave
The true statement is: "Octave is the name of a particular interval size."
In music theory, an octave refers to the interval between two pitches where the higher pitch has a frequency that is exactly twice that of the lower pitch. It represents a doubling or halving of the frequency. For example, if we start on the note A and move up to the next A, we have traversed an octave.
An interval, on the other hand, refers to the distance between two pitches. It is the numerical representation of the difference in pitch between two notes.
The statement mentioning "interval as the name of a particular octave size" is incorrect because the octave is a specific interval size, not the other way around.
The statement suggesting that "the fifth is a kind of octave" is also incorrect. The fifth is a specific interval that represents the distance of five diatonic scale steps between two pitches.
Lastly, the statement that "a synonym for distance is octave" is not true. While an octave represents a specific interval size, the term "distance" is a more general term that can refer to the measurement between any two pitches, regardless of the specific interval size.
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Brady has been
approved for a home loan on a property he has under contract. The purchase
price is $150,000, and he is required to have $5,250 as a down payment. Which
of the following loan types is Brady most likely getting?
a. Conventional loan
b. ARM loan
c. FHA loan
d. VA loan
e. Fixed loan
The type of loan that Brady most likely getting is option (a) conventional loan
Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.
ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.
VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.
Therefore, the correct option is (a) Conventional loan
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X-9 = 23 when X=14
yes
No
Step-by-step explanation:
x - 9 = 23
(14) - 9 = 5
So the answer is no.
Answer:
No
Step-by-step explanation:
X will be equal to 32
If X is equal to 14 the answer will be 5
The line y = mx + c passes through the points (3,7) and (5,13). What are the values of m and c?
Answer:
c=-2 and m=3
this is because the y intercept of the line given is -2 and if you find the slope is 3/1 or simplified to 3
Which shapes make up this composite figure?
a cylinder and a cone
a cylinder and two cones
a half sphere, a cylinder, and a cone
a sphere and a cylinder
Answer: a sphere and a cylinder
Step-by-step explanation:
The composite figure has two semi-circles on each end (which is basically a whole sphere). In the middle is a cylinder. So, d is the correct option.
A cone has a triangular form, so it can't be the other answers.
Answer:
D
Step-by-step explanation:
The compound interest formula states that if P dollars are invested at an annual interest rate of r, compounded n times per year, then A, the amount of money presentIf $10.500 is invested at 8 % compounded monthly, how much will this investment be worth in 22 years? Round youranswer to two decimal placesafter tyears, is given by A = P(1+2)
Step 1
State the compound interest formula
\(A=P(1+\frac{r}{n})^{t\times n}\)where;
\(\begin{gathered} P=10500 \\ r=\frac{8}{100}=0.08 \\ t=22 \\ n=12 \end{gathered}\)Step 2
Find the amount after 22 years
\(A=10500(1+\frac{0.08}{12})^{12\times22}\)\(\begin{gathered} A=10500\times5.778587511 \\ A=\text{ \$60675.16887} \\ A\approx\text{ \$60675.17} \end{gathered}\)Answer;
\(\text{ \$60675.17}\)What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?
Answer:
center: (-5,6)
Radius: 7
Step-by-step explanation: