The number line shows the elevation of the bottom of a harbor and the elevation of a fish swimming closer to the surface A what change in elevation is necessary for the fish to reach bottom B once the fish reaches the bottom what change in elevation will bring it back up to the surface
Answers
The elevation needs to be smaller than the decrease of the elevation like this.
What is the elevation on the number line?
The elevation of a location describes its height above or below the sea level, which has an elevation of 0. Elevations below the sea level are represented by negative numbers, and elevations above the sea level are represented by positive numbers.
Whatever number is larger than the number of the elevation of the bottom of the harbor
the elevation needs to be smaller than the decrease of the elevation like this.
e.g.
The temperature elevated by 28 degrees and then decreased by 30 degrees.
Hence, the elevation needs to be smaller than the decrease of the elevation like this.
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Related Questions
The length of rectangle is twice its width.How many times long as the width of the rectangle is the perimeter of the rectangle.
Answers
Step-by-step explanation:
w=x
l=2x
p=2(l+w)
p=2(2x+x)
p=6x
One angle measures 160°, and another angle measures (3k + 61)°. If the angles are vertical angles, determine the value of k.
k = 14
k = 33
k = 74
k = 160
Answers
Answer:
Therefore, the value of k is 1.
Step-by-step explanation:
Vertical angles are pairs of angles that are opposite each other and are formed by two intersecting lines. If one angle measures 160°, the other angle must measure 180° - 160° = 20°. Therefore, if the other angle measures (3k + 61)°, we can set up the equation 20 = 3k + 61. Solving for k, we get k = -41. However, since the value of k must be a positive integer, the only possible value of k is k = 1. Therefore, the value of k is 1.
Answer:
k = 33
Step-by-step explanation:
Write an equation and solve for p. Show all work.
Answers
a) The equation is 10p + 80 = 180 and p = 10.
b) The three angles are 90°, 37°, 53°.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Given that, the angles of the triangles are 53°, 2p + 17°, and 8p + 10°.
The sum of all angles of a triangle is 53° + 2p + 17° + 8p + 10° = 80 + 10p
The sum of all angles of a triangle is 180°.
Therefore,
80 + 10p = 180
Subtract 80 from both sides:
10p = 100
divide both sides by 10:
p = 10.
Putting p = 10 in 2p + 17°, and 8p + 10°:
2p + 17° = 20° + 17° = 37°
8p + 10° = 80° + 10° = 90°
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answers
If x = 13,
(13 - 7)^2 = 6^2 = 36
If x = 1
(1 - 7)^2 = -6^2 = 36
If x = -29
(-29 - 7)^2 = -36^2 = 1296
If x = 42,
(42 - 7)^2 = 35^2 = 1225.
So option A and B are the answer
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A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The quadratic function h = − 16 t^2 + 84 t + 72 models the ball's height above the ground, h , in feet, t seconds after it was thrown.
a) What is the maximum height of the ball? ____________ feet
b) How many seconds does it take until the ball hits the ground? ____________ seconds
Answers
What is the maximum height of the ball 182.25 feet
How many seconds does it take until the ball hits the ground 6 seconds
How to find the maximum height of the ballThe maximum height will occur at the vertex v(h', k)
h' = -b/2a
From the equation h = − 16 t^2 + 84 t + 72
a = -16
b = 84
h' = -84/(2 * -16)
h' = t = 2.625
k = h = − 16 t^2 + 84 t + 72 at t = 2.625
= − 16 * 2.625^2 + 84 * 2.625 + 72
= 182.25 feet
The ball hits the ground when h = 0
0 = − 16 t^2 + 84 t + 72
solving the quadratic equation gives
t = 6 OR -3/4
Use the positive value
t = 6 seconds
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need help!!! with geometry
Answers
The value of r is 45 and the value of s is 29
Calculating value of missing variablesFrom the question, we are to solve the parallelogram for the missing variables.
The missing variables are r and s
Since opposite angles of a parallelogram are equal, we can write that
(r - 10)° = (3r - 100)°
Solve for r
r - 10 = 3r - 100
-10 + 100 = 3r - r
90 = 2r
r = 90/2
r = 45
Also,
We can write that
(5s)° = (4r - 35)°
Substitute the value of r and solve for s
5s = 4(45) - 35
5s = 180 - 35
5s = 145
s = 145/5
s = 29
Hence, r = 45, s = 29
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The formula A=23.1 е⁰⁰¹⁵²⁺ models the pollution of US state, a, in millions ,t years after 2000.
a. What was the population of the state in 2000 ?
b. When will the population of the state reach 28.3 million?
a. In 2000 , the population of the state was million.
Answers
The population of the state is 23.1 million
The population of the state will reach 28.3 million in 13.5 years
What is population ?
Any whole group that shares at least one trait is referred to be a population. People do not make up all populations. Populations can include, but are not limited to, individuals, animals, organizations, structures, buildings, cars, farms, objects, or occasions.
The population state is:
A = 23.1*e^(0.0153*t)
In millions.
Where t represents the number of years after 2000.
a) For the population at the year 2000, we need to evaluate the function at t = 0 (2000 is 0 years after 2000).
A(0) = 23.1*e^(0.0153*0) = 23.1
The population at year 2000 was 23.1 millions.
b) Now we want to solve:
A(t) = 28.3 = 23.1*e^(0.0153*t)
28.3/23.1 = e^(0.0153*t)
1.23 = e^(0.0153*t)
Now we can apply the natural logarithm to both sides:
ln(1.23) = ln( e^(0.0153*t) )
ln(1.23) = 0.0153*t
ln(1.23)/0.0153 = t = 13.5
So 13.5 years after 2000 the population will be 28.3 million.
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4. Which statement best describes the relationship in the table?
Months 12 24 36 48
Years 1 2 3 4
a. The constant of proportionality is 0.
b.The constant of proportionality is 4.
c. The number of months is proportional to the number of years?
d. The number of months is not proportional to the number of years?
Answers
On solving the provided question, we got that the number of months is proportional to the number of years
What is proportionality>When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.
What do you think about proportionality?We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.
Here,
12/1 = 12
24/2 = 12
36/3 = 12
48/4 = 12
So, They are proportional to each other.
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(a) Complete this synthetic division table.
-2√-1 2 12 0 -16
(b) Write your answer in the following form: Quotient + Remainder / x+2
-x⁴+2 x³+12 x²-16 / x+2= ____+ _____ / x+2
Answers
a) The synthetic division table is given by the image shown at the end of the answer.
b) The result of the division is given as follows:
-x³ + 4x² + 4x - 8 + 0/x + 2.
How to apply the synthetic division algorithm?In the synthetic division algorithm, the coefficients of a polynomial, which is the dividend, are each divided by a value.This divisor is the goes into the far left box.In this problem, the dividend is given as follows:
-x^4 + 2x³ + 12x² - 16.
Hence the coefficients are given, respectively, by:
-1, 2, 12, 0 and -16.
The divisor is of:
x + 2.
Hence the term on the left box is of:
x + 2 = 0 -> x = -2.
Then the procedure goes as follows:
-1 is multiplied by -2 and added to 2, result of 4.4 is multiplied by -2 and added to 12, result of 4.And the same logic follows until the last term.From the coefficients of the bottom box, we have that:
The quotient is of -x³ + 4x² + 4x - 8.The remainder is of zero.Learn more about synthetic division at brainly.com/question/24662212
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8x³ +16x² + 12x+13)÷(2x+2)
Find quotient and remainder
Answers
The degree of the remainder is less than the degree of the divisor, we have found the complete remainder. Therefore, the quotient is 4x² + 8x + 6, and the remainder is -16x² -16x.
What is the quotient?
The number we obtain when we divide one number by another is the quotient. For example, in 8 ÷ 4 = 2; here, the result of the division is 2, so it is the quotient. 8 is the dividend and 4 is the divisor.
To find the quotient and remainder when dividing 8x³ +16x² + 12x+13 by 2x+2, we can use polynomial long division.
First, we divide the leading coefficient of the dividend (8x³) by the leading coefficient of the divisor (2x). This gives us a quotient of 4x². We then multiply the divisor (2x+2) by this quotient and subtract it from the dividend to get the first term of the remainder:
8x³ +16x² + 12x + 13
(2x+2)(4x²)
8x³ - 8x³ -8x² -8x² +12x+13
This leaves us with 12x+13 as the first term of the remainder.
Next, we bring down the next term of the dividend (16x²) and divide it by the leading coefficient of the divisor (2x). This gives us a quotient of 8x. We then multiply the divisor (2x+2) by this quotient and subtract it from the dividend to get the next term of the remainder:
12x+13
(2x+2)(8x)
12x+13 - 16x² - 16x
-4x² -4x
This leaves us with -4x² -4x as the next term of the remainder.
Finally, we bring down the last term of the dividend (12x) and divide it by the leading coefficient of the divisor (2x). This gives us a quotient of 6. We then multiply the divisor (2x+2) by this quotient and subtract it from the dividend to get the final term of the remainder:
-4x² -4x
(2x+2)(6)
-4x² -4x -12x -12
-16x² -16x
This leaves us with -16x² -16x as the final term of the remainder.
Hence, the degree of the remainder is less than the degree of the divisor, we have found the complete remainder. Therefore, the quotient is 4x² + 8x + 6, and the remainder is -16x² -16x.
We can write the result of the division as:
(8x³ + 16x² + 12x + 13) ÷ (2x+2) = (4x² + 8x + 6) + (-16x² -16x)/(2x+2)
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Help Please!!!!!!!!!!!!
Answers
Number that makes is true:
Xavier is riding on his bike at a constant speed of 15
miles per hour. What is the closest approximation of
how long it will take Xavier to ride 5 miles?
A. 0.15 hour
B. 0.2 hour
C. 0.33 hour
D. 0.5 hour
Answers
Answer:
C. 0.33 hour
Step-by-step explanation:
15 miles = 1 hr
5 miles = x hr
cross multiply
5 = 15x
x = 5/15
x = 0.333 hr
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changing tne value of m in f(x)=mx+b resulst in a (translation or rotation) of the graph
?????
Answers
Answer:
Rotation
Step-by-step explanation:
The function [tex]f(x)=mx+b[/tex] , is the equation of a line given in slope-intercept form. Where m is the slope of the line and b is the y-intercept of the line. If you were to change the value of m, while keeping the value of b the same, that would result in a rotation. If you were to change the value of b, while keeping the value of m the same, that would result in a translation (specifically a vertical translation).
6x^3+2x^2+3x -(3x^3-2x^2-3x)
Answers
The simplest form of the given expression is 3x³+4x²+6x
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.
Main body:
according to question ,
6x³+2x²+3x -(3x³-2x²-3x)
we need to simplify the given equation.
firstly opening the bracket and taking care of sign,
⇒6x³+2x²+3x -3x³ +2x² +3x
taking like terms seperately,
⇒6x³ -3x³ +2x²+2x²+3x+3x
⇒3x³+4x²+6x
Hence the simplest form of the given expression is 3x³+4x²+6x
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20 + 4 (3x - 5) + 2x = 28
How can I get the answer and please explain step by step!
Answers
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
Equation
[tex]20 + 4(3x-5)+2x=28[/tex]
Expand the brackets
[tex]20 + 12x- 20 + 2x=28[/tex]
Combine like terms
[tex]14x=28[/tex]
Solve
[tex]x=2[/tex]
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Consider the conversion facts 1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch.
a. Write an expression for the exact number of inches in 1 centimeter.
1 cm = -in.
b. Use a calculator to evaluate your expression in part (a). Round to the nearest ten thousandths if necessary.
1 cm =
in.
he clightly different when converting botung
Answers
The expression for the exact number of inches in 1 centimeter is 2.54/2.54 cm = 1/2.54 in and the number of inches is 0.39
How to determine the expression?From the question, we have the following parameters that can be used in our computation:
1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch.
To calculate the number of inches expression, we make use of the following equation
1 inch = 2.54 centimeters
Divide both sides of the equation by 2.54
So, we have the following representation
1/2.54 inch = 2.54/2.54 centimeters
Rewrite the expression as
2.54/2.54 centimeters = 1/2.54 inch
So, we have
2.54/2.54 cm = 1/2.54 in
So, the expression is 2.54/2.54 cm = 1/2.54 in
The value of the expressionIn (a), we have'
Expression: 2.54/2.54 cm = 1/2.54 in
This implies that
2.54/2.54 cm = 1/2.54 in
Evaluate the quotients
1 cm = 0.39 in
Hence, the value is 0.39 inches
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Consider the equation 5y + 9 =
Which value or expression can you write in the blank so the equation
has no solution?
0
9
5y
+2.
7y
Answers
The equation has no solution if the blank is filled with 5y, so option c is correct.
What is equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.
Given equation:
5y + 9 = _
Use the hit and trial method and put the value zero,
5y + 9 = 0
y = -9 / 5
So the equation has a solution,
Again put
5y + 9 = 5y
9 = 0, which is not possible
Therefore, the equation has no solution if we fill the blank with 5y.
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2. Sandra gets 2 dollars for every 50 aluminum cans she recycles. What is the ratio of dollars to
cans? How much money does she make per can?
Answers
Answer:
1:25
$0.04 or 4 cents per can
Step-by-step explanation:
The ratio of dollars to can is 2:50 = 1:25.
$1/25 = $0.04
She gets $0.04 or 4 cents per can
Find the slope of the line that passes through all of the points on the table.
Answers
Step by step
Slope can be found using two points from the graph and formula y2 - y1 over x2 - x1
(2, 2) (5, -6)
-6 -2 over 5 - 2 = -8/3
Try another set to be sure
(8, -14) (11, -22)
-22 - -14 over 11 - 8 = -8/3
So your slope is -8/3
Q1 - Similar shapes and area
Work out the missing area in each pair of similar shapes.
Answers
The answer for the first shape would be 24cm^2.
The answer for the second shape would be 20cm^2.
The answer for the third shape would be 30cm^2. "30".
What are Shapes?
A shape in geometry can be characterized as an object's form, outline, outer border, or outer surface.
Every object we notice in the world has a form. The objects we see around us may be broken down into several fundamental forms, such as the two-dimensional square, rectangle, and oval, or the three-dimensional rectangular prism, cylinder, and sphere few types of Shape.Shapes establish an object's perimeter and may be distinguished in a variety of ways depending on their characteristics. In a Shape a border that is created by merging the curves, points, and line segments surrounds these forms. The name of each form depends on the structure. Circle, square, rectangle, triangle, and other simple forms are few types of Shape.The first shape seems to be scaling up. From 3cm to 12cm. So for this you need to multiply. Using the formula that I gave you last time.
3cm times ___ = 12cm. 4 fits in there,
therefore 6cm^2 times 4 = 24cm^2.
The answer for the first one would be 24cm^2. "24" in the blank.
The second shape seems to be scaling down. From 16cm to 8cm. So for this you need to divide.
16cm divided by ___ = 8cm. 2 fits in there,
therefore 40cm^2 divided 2 = 20cm^2.
The answer for the second one would be 20cm^2. "20" in the blank.
The third shape seems to be scaling up.
From 3cm to 4.5cm.
So for this you need to multiply. 3cm times ___ = 4.5cm.
Now since we're dealing with decimals, not whole numbers this time you can't really use guess and check as efficiently. So you do the opposite operation, which in this case the opposite of multiplication is division.
You take 3cm (the original shape's number) and divide it into 4.5cm. So 4.5cm divided by 3cm = 1.5. 1.5 fits in there,
therefore 20cm^2 times 1.5 = 30cm^2.
The answer for the third one would be 30cm^2. "30" in the blank.
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El primer término en una serie geométrica es 64 y la razón común es 0.75
Answers
Answer:
Si...
En una progresión geométrica se conocen a1 = 64 y r = 0,75
The packages a and b together weigh 6kg
Package a is twice as heavy as package b
Find the weight of package a and find the weight of package b
Answers
√3 + (4 + √x + 3)² / 6 = 3
Answers
Answer: x = 1
Step-by-step explanation:
for any relation r, if, for every valid instance of a, that value of a uniquely determines the value of b:
Answers
"In a relation r, for every instance of a, that value of a uniquely determines the value of b then a primary dependency exists in the relation.
Relation:
In math relation means the relationship between sets of values of ordered pairs.
Given,
Here we need to find if for every valid instance of a, that value of a uniquely determines the value of b in the relation.
As per the definition of relation, for every relation has two set of data ad each of the element in one set is uniquely refers the other one's element.
Here we have to identify the type of relation between a an b.
Here we have given that the relation a uniquely determines the value in b.
So, this type primarily refers the dependency of the relation.
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Find the measure of angle b.
59°
A) 69°
C) 21°
B) 121°
D) 159
Answers
Answer:
he answer is B
Step-by-step explanation:
Total angle is 180°
angle a=59°angle b=180°-59°=121°
fhyyyyyyyyyyyyyyyyyyyyytttttttttttttttttttttttttttttttttttttttttgsdddddddddddddtttttttt
Answers
Answer:
Step-by-step explanation:
there is no answer it just a bunch of f,h,y and t this is not math this is something
Help help help help help help
Answers
Answer:
Andre walks more steps
Step-by-step explanation:
Step-by-step explanation:
dawn step rate=8400/60=140step/he
dawn step=140×240=33600 steps
teddl step=142 ×240 =34080
Q4 Two consecutive numbers are such that the larger number when
added twice the smaller number gives a sum of 70. Find the two numbers.
Answers
Answer:
The answer is in the picture
Step-by-step explanation:
The explanation is in the picture
I don’t understand this any help please answer and explain please
Answers
Answer:
25.5 inches.
Step-by-step explanation:
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have a right triangle with legs of length 19 inches and 17 inches. The length of the hypotenuse is the square root of the sum of the squares of the other two sides. We can calculate this as follows:
hypotenuse = sqrt(19^2 + 17^2)
hypotenuse = sqrt(361 + 289)
hypotenuse = sqrt(650)
hypotenuse = 25.495097568 inches
Rounding to the nearest tenth, the length of the hypotenuse is 25.5 inches.
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I need help badly.
0.000236 to 3 significant figures.
Answers
Answer:
It is rounded to 3 sig figs already
Step-by-step explanation: