The temperature decreases by about 1.7° for each 1-degree increase north in latitude.
Given
Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian.
The table shows the latitude and daily high temperatures on the first day of spring for different locations with the same longitude.
The first row is labeled latitude (degrees North) with entries 42, 45, 39, 35, 32, 41, 40, 33, 30.
The second row is labeled high temperature (degrees Fahrenheit) with entries 53, 51, 67, 63, 70, 58, 61, 67, 72.
What is the slope of the line?The slope of a line in the two-dimensional Cartesian coordinate plane is usually represented by the letter m, and it is sometimes called the rate of change between two points.
Latitude and longitude are a system of lines used to describe the location of any place on Earth. Lines of latitude run in an east-west direction across Earth. Lines of longitude run in a north-south direction. Although these are only imaginary lines, they appear on maps and globes as if they actually existed.Hence, the temperature decreases by about 1.7° for each 1-degree increase north in latitude.
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Answer:
b
Step-by-step explanation:
edge 2022
Multiplying Polynomials Distributive Property
x^3(x^2+5x-1)
Answer:
x^5+5x^4−x^3
Step-by-step explanation:
Expand by distributing terms
x^3x^2+x^3*5x-x^3
Use the product rule x^a+x^b=x^a+b
x^3+2 +x^3*5x-x^3
Simplify 3+2 to 5
x^5+x^3*5x-x^3
Regroup
x^5+5x^33-3^3
Use product rule x^a+x^b=x^a+b
x^5+5x^3+1 -x^3
Simplify 3+1 to 4
x^5+5x^4−x^3
Write an algebraic expression for the following word phrase 9.94 less than the product of 26 and x
Answer:
the answer is 26x - 94
y=-2x+5 how do you solve?
Answer:
here are the coordinates :
(0,5) and (1,3)
Will mark Brainliest
Answer:
y 15 x 9 they are asking for there parallel so go with the line directly across from them
Given that a=4, b=3 and c=-4 work out b(squared) -2ac
Answer:
41
Step-by-step explanation:
b^2 -2ac
Let a=4 b=3 c=-4
( 3)^2 -2 (4) (-4)
Exponents first
9 - 2 (4) (-4)
Multiply
9 + 32
41
Answer:
41
Step-by-step explanation:
b^2 - 2ac plug in the values
3^2 -2(4)(-4) start with the exponent (remember PEMDAS)
9 -2(4)(-4) start multiplying from left to right
9 -8(-4) multiply
9 + 32 add
41 that's your answer :)
A 4. 9-mm-wide swimming pool is filled to the top. The bottom of the pool becomes completely shaded in the afternoon when the sun is 20 ∘∘ above the horizon.
The depth of the swimming pool that is filled to the top is; 4 m
Snell's Law
I have attached a schematic diagram showing this question.
The correct width of the pool is 4 meters. Thus; w = 4 m
Incident Angle; θ₁ = 20°
A right angle is 90° and so the angle θ₂ is calculated from;
θ₂ = 90° - θ₁
θ₂ = 90° - 20°
θ₂ = 70°
We can use snell's law formula to find θ₃.
Thus;
n₁sinθ₂ = n₂sinθ₃
where;
n₁ is refractive index of air = 1
n₂ is refractive index of water = 1.33
Thus;
1*sin 70 = 1.33*sin θ₃
sin θ₃ = (sin 70)/1.33
Solving this gives;
θ₃ = 44.95°
By usage of trigonometric ratios we can find the depth of the pool using;
w/d = tan θ₃
Thus;
d = w/(tan θ₃)
d = 4/(tan 44.95)
d ≈ 4 m
Read more about Snell's Law at; https://brainly.com/question/10112549
solve 7x+5y=43 thanks if you see this!!!
7x + 5y = 43 --------(i)
5x + 5y = 5 --------(ii)
for solving, eqn (i) - eqn (ii)
7x + 5y = 43
5x + 5y = 5
- - -
__________
2x = 38
=> x = 19
putting x = 19 in eqn (ii)
we get, y = -18
(x,y) = (19,-18)
Hope it helps...I need the answers to all of these problems
Answer:
3, 108 ,1,5439984,3909t8954,9994959 etc.
Step-by-step explanation:
16:2
SERE
Which number line represents the solution set for the inequality 38 - 4x) < 6(x - 5)?
o
3
-1
0
1
2
4
5
+
O
-5
+
0
+
2
1
3
4
5
1
-5
-2
-1
0
1
2
3
4
5
-5
-2
0
1
2
Answer:
The second option. x > 3
Step-by-step explanation:
See attached.
Find the LCD of 1/4 and 5/6 (Show Steps!!!)
Which functions represent exponential growth? y = f(x) y = h(x) y = g(x) y = k(x).
All are the exponential function.
ExponentExponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. c is the base and x is the power.
Which functions represent exponential growth?1. y = f(x) is a exponential function.
Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.
2. y = h(x) is a exponential function.
Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.
3. y = g(x) is a exponential function.
Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.
4. y = k(x) is a exponential function.
Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.
Thus, all are the exponential function.
More about the exponent link is given below.
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please help quick !!! i don't understand how to solve this
Answer:
Below!
Step-by-step explanation:
We know that:
All sides of a rhombus are the same. This tells us that a rhombus can be divided in two triangles. Both the triangles are isosceles triangle.This also tells us that x must equal 23° because the base angles of an isosceles triangle are always the same. A rhombus has 4 right angles in its center.Triangle = 180°Solution:
y + 90 + 23 = 180=> y + 113 = 180=> y = 180 - 113=> y = 67°Hence, the value of x and y are 23° and 67° respectively.
Can y’all help me with this I’m struggling
answer plz help me with math ANSWER plz
Find the unit rate of the situation below: shana spent $75.00 on lunch for the last 30 days.
Answer:
Divide the amount of money she has by the number of days
Step-by-step explanation:
The unit would be dollars per day. 75/30 = 2.50. Therefore, the unit rate is $2.50/day. Shana spends $2.50 a day for lunch.
Find BC to the nearest tenth. will give brainilist
Answer:
BC = 20.7
Explanation:
Formula used: a² = b² + c² - 2bc*cos(A)Using the formula: BC² = 15² + 13² - 2*15*13*cos(95)
BC² = 427.991
BC = √427.991
BC = 20.7 units
A system of equations is shown below.
y=-2x + 6
6x + 3y = 18
What is the solution to the system of equations?
(Show work)
Answer:
Step-by-step explanation:
First, we need to look at the simpler equation. We see that the top equation is the simpler one.
y=-2x + 6
Now we plug that equation with the other one.
6x + 3(-2x + 6) = 18
6x -6x + 18 = 18
18 = 18
Since we see that 18 = 18. We know that this equation is a true equation. We can plug the y-variable in first and it will still be a true statement.
Guys I post this question 4 times and still didn’t get any answer, please please please someone save please
The sum of two numbers is 22. The difference is 6. What are the two numbers?
Answer:
14 and 8
Step-by-step explanation:
Muriel told Shana that one of the products in the table was incorrect.
Which value in the table is incorrect?
What is the value Shana should have written?
The product of numbers or expressions involve multiplying the numbers and the expressions
The incorrect value in the table is -2yThe correct value is -2xyHow to determine the incorrect valueFrom the table, we have the following product
2x* -y = -2y
or
-y * 2x =-2y
The above equation is incorrect.
This is so because, the product of 2x and -y is -2xy, not 2y
Hence, the incorrect value in the table is -2y and the correct value is -2xy
Read more about products at:
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Answer:
A and B
Step-by-step explanation:
How many different outfits of a shirt, pant, and shoe can you make if you have 8 shirts, 5 pairs of pants,
and 3 different pairs of shoes?
Answer:As we need 1 Shirt(10 options) and 1 Pant(5 options) for an outfit
10P1*5P1=10*5=50 outfits
Step-by-step explanation:
yay
Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000. Which inequality can be used to determine the amount of money the family still needs to save? 2764 x > 5000 2764 x Greater-than-or-equal-to 5000 2764 x Less-than-or-equal-to 5000 5000 x > 2764.
The amount of money the family still needs to save is $2236.
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
Their vacation savings account currently has a balance of $2,764.
The family would like to have at least $5,000.
To findThe amount of money the family still needs to save.
How to find the amount of money the family still needs to save?Forming the equation, we get
Let x be the amount needed to save. then
x + 2764 ≥ 5000
On simplifying, we get
x + 2764 ≥ 5000
x ≥ 5000 - 2764
x ≥ 2236
Thus, the amount of money the family still needs to save is $2236.
More about the linear system link is given below.
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Answer: B
Step-by-step explanation:
hope this helps may you mark me as brainlest and here is proof
Evaluate the expression when a=-7 and y=4. -y+2a
Answer:
-18
Step-by-step explanation:
-4 + 2 * -7 = -18
-18 is the answer
[tex]\huge\fbox{Hi~there!}[/tex]
We are given the expression: -y+2a
We are also given the values of y and a.
All we have to do is plug in the values and solve:
[tex]\rm{-y+2a[/tex]
[tex]\rm{-4+2(-7)[/tex]
[tex]\rm{-4-14[/tex]
[tex]\rm{-18[/tex] (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*[/tex] :)
What is 2/5+2/3 in reduced from?
Answer:
[tex]1\frac{1}{15}[/tex] in reduced form.
Step-by-step explanation:
[tex]\frac{2}{5} +\frac{2}{3}[/tex]
[tex]\frac{3*2+2*5}{5*3}[/tex]
[tex]\frac{6+10}{15}[/tex]
[tex]\frac{16}{15}[/tex]
[tex]1\frac{1}{15}[/tex]
Answer:
[tex]1\frac{1}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5} + \frac{2}{3}\\\\\frac{2*3}{5*3} + \frac{2*5}{3*5}\\\\\frac{6}{15} + \frac{10}{15}\\\\\frac{6+10}{15}\\\\\frac{16}{15}=1\frac{1}{15}[/tex]
Your answer is: [tex]1\frac{1}{15}[/tex]
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
y=-2/3x+3 in standard form
Answer:
-2/3x + 3
Step-by-step explanation:
Standard form is just ax^2 + bx + c
In this equation, there is no ax^2. So we have 2/3x + 3.
We don't have to make any changes because the equation is already in standard form.
The coordinates of the vertices of ΔABC are A(−5, 1), B(−5, −1), and C(−1, −1). Find the side lengths and the angle measures.
AB = 4, BC = 2, AC ≈ 4.24
m∠B = 90°, m∠A ≈ 63°, m∠C ≈ 27°
AB = 2, BC = 4, AC ≈ 4.24
m∠B = 90°, m∠A ≈ 27°, m∠C ≈ 63°
AB = 2, BC = 4, AC ≈ 4.47
m∠B = 90°, m∠A ≈ 63°, m∠C ≈ 27°
AB = 4, BC = 2, AC ≈ 4.47
m∠B = 90°, m∠A ≈ 27°, m∠C ≈ 63°
The given coordinates of the vertices of the triangle ΔABC, which are: A(-5, -1), B(-5, -1), and C(-1, -1), gives the side lengths and the angle measures found using Pythagorean theorem, and the law of cosines as follows:
AB = 2, BC = 4, AC ≈ 4.47
m∠B = 90°, m∠A ≈ 63°, m∠C ≈ 27°
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the sum of the squares of the legs, is equal to the square of the length of the hypotenuse side.
The vertices of the triangle are; A(-5, 1), B(-5, -1), and C(-1, -1)
The length, l, of a line having points (x₁, y₁) and (x₂, y₂) can be found using Pythagorean theorem as follows;
[tex]l = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex]
The length of AB = √((-5 - (-5))² + (-1 - 1)²) = 2
Length of BC = √((-1 - (-5))² + (-1 - (-1))²) = 4
Length of AC = √((-1 - (-5))² + (-1 - 1)²) ≈ 4.47
The interior angles can be found using the law of cosines as follows:
a² = b² + c² - 2·b·c·cos(A)
Which gives: 2·b·c·cos(A) = b² + c² - a²
[tex]\angle A = arccos\left(\dfrac{b^2 + c^2 - a^2}{2\cdot b \cdot c} \right)[/tex]
Where:
a, b, and c are the side lengths of the triangle, and ∠A is the angle opposite side a.
Taking AB = c, BC = a, AC = b, gives:
[tex]\angle A = arccos\left(\dfrac{4.47^2 + 2^2 - 4^2}{2\times 4.47 \times 2} \right) \approx 63^{\circ}[/tex]
Similarly, we have:
[tex]\angle B = arccos\left(\dfrac{4^2 + 2^2 - 4.47^2}{2\times 4\times 2} \right) \approx 90^{\circ}[/tex]
Which by the angle sum property of a triangle gives: ∠C = 180° - 90° - 63° = 27°
The option that gives the side lengths and the angle measure is therefore:
AB = 2, BC = 4, AC = 4.47, m∠B = 90°, m∠A = 63°, m∠C = 27°Learn more about the law of cosines here:
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#SPJ1
What is six thousand three hundred grams to the nearest kilogram?
Answer:
6.3 ≈ 6 kg
Step-by-step explanation:
6300÷1000= 6.3
Raymi's cat eats 8 ounces of cat food each day. Raymi bought a 24-pound bag of cat food. How many 8-ounce servings are in a 24-pound bag of cat food?
Answer:
48 serving
Step-by-step explanation:
Data :
Food = 24 pound
Food each day =8 ounces
As 1 pound = 16 ounces
So 24 × 16 = 384 ounces
Now divide
394/8 = 48
Answer:
4+4 is 8 so do the tens so that is 4
Step-by-step explanation:
Bruce drew a scale drawing of a restaurant. The scale he used was 1 millimeter 10 meters The restaurant's kitchen is 3 millimeters long in the drawing. How long is the actual Kitchen
Answer:
answer=30
Step-by-step explanation:
by taking the length as x
1 millimetre = 10 metres
3 millimetres = x
10×3= 30 metres
HOPE THIS HELPS
please help and answer fast please and thank u ill give 20 points
Answer:
number of sides: 18 sides
Explanation:
Total Interior angle = ( n - 2 ) * 180°
Using the formula:
2880° = ( n - 2) * 180°
n - 2 = 16
n = 16 + 2
n = 18 sides
Ron rides his bike 8 km per day. How many meters does he rides his bike in a day?
Answer:
8000m
Step-by-step explanation:
8x10^3=8000
