Answer:
Step-by-step explanation:
Suppose there is a 1.2°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 56.9°F, what will be the temperature when the plane reaches an altitude of 6,000 ft?
Answer: [tex]49.7^{\circ}F[/tex]
Step-by-step explanation:
Given
The temperature on the ground is [tex]56.9^{\circ}F[/tex]
temperature drop observed is [tex]1.2^{\circ}F\ \text{per 1000 ft}[/tex]
The height of the plane is [tex]6000\ ft[/tex]
The total increase in height per [tex]1000\ ft[/tex] is [tex]6[/tex] units
Temperature drop is
[tex]\Rightarrow 1.2\times 6=7.2^{\circ}F[/tex]
The temperature at that altitude is
[tex]\Rightarrow 56.9-7.2=49.7^{\circ}F[/tex]
the ratio of boys to girls in a class is 7:9
write down in simplest form:
the fraction of boys compared to girls
the fraction of girls out of the class total
Answer:
7/16
9/16
Step-by-step explanation:
boys =7+9 total ratio =16
ratio of boys=7/16
ratio of girls=9/16
A polygon with five sides is
Answer:
The answer is pentagon
7. What is the value of y in the diagram shown to the right?
A 22.36068
B. 64
C. 84
D. 104
john put 14,000 euros in an account at a simple interest rate of 1% per year. How much interest will he get after 12 years?
Answer:
16,800 Euros.is the answer
Step-by-step explanation:
solve for the variables.
Answer:
The question gives the fact that both lines are parallel.
So:
3p - 15 = 7p - 5
3p = 7p + 10
-4p = 10
p = 10/-4
p = 5/-2
Answer:
The answer is 3p - 15 = 7p - 5 3p = 7p + 10 -4p = 10 p = 10/-4 p = 5/-2
Step-by-step explanation:
Part A
What is the explicit formula the sequence 8,10,12.5,15.625...?
Given:
The sequence is 8, 10, 12.5, 15.625,...
To find:
The explicit formula for the given sequence.
Solution:
We have,
8, 10, 12.5, 15.625,...
Here, the first terms is 8.
[tex]\dfrac{10}{8}=1.25[/tex]
[tex]\dfrac{12.5}{10}=1.25[/tex]
[tex]\dfrac{15.625}{12.5}=1.25[/tex]
The common ratio is 1.25. So, the given sequence is a geometric sequence.
The explicit formula for a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
The explicit formula for the given geometric sequence is:
[tex]a_n=8(1.25)^{n-1}[/tex]
Therefore, the correct option is A.
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What is the slope of the line through (-2,-6) and (2, 2)?
Choose 1 answer
2.
B В
1
2
-2
D
1
2
Answer:
The slope is 2
Step-by-step explanation:
divide 240 g in the ratio 5:3:4
Find the perimeter and area of a rectangle with a length of 3.4cm and a width of 4.3cm
Answer:
perimeter of a rectangle
=2×(L+B)
=2×(4.3+3.4)
=2×7.7
=15.4
Area of a rectangle
=L×B
=4.3×3.4
=146.2
Answer:
Step-by-step explanation:
The formula for the perimeter of a rectangle of length L and width W is
P = 2L + 2W. In this particular problem, P = 2(3.4 cm) + 2(4.3 cm), or
P = 6.8 cm + 8.6 cm, or P = 15.4 cm
The formula for the area of a rectangle of length L and width W is A = L * W.
In this problem, the area is A = (3.4 cm)(4.3 cm) = 14.62 cm^2 = A
Question in photo! ty :)
Step-by-step explanation:
its easy use a calculator and in place of x put 1.5 and in place of y put 3.
Answer:
9/2
Step-by-step explanation:
8. Which expression is equivalent to 0.6x?
O
X-0.4x
O
1 -0.4x
X + 0.6
0.6X - X
Answer:
X - .4x
Step-by-step explanation:
X - .4x = x(1-.4) = .6x
1 -0.4x These are not like terms so they cannot be combined
X + 0.6 These are not like terms so they cannot be combined
0.6X - X x( .6-1) = x(-.4) = -.4x
Mrs. Harbrook can choose from two rectangular pool sizes. The pool manufacturer provides her with the area of the pool, but she needs to find the dimensions in order to determine if the pool will fit in her yard.
If the area of the pool is x2−17x+72, what are possible expressions to represent the length L and the width W ?
Answer:8 or 9 ft
Step-by-step explanation:
Given
The area of the pool is [tex]A=x^2-17x+72[/tex]
The area is in the form of a quadratic equation
So, the roots of the equation will give the length and width of the pool
[tex]\Rightarrow x^2-17x+72=0\\\Rightarrow x^2-8x-9x+72=0\\\Rightarrow x(x-8)-9(x-8)=\\\Rightarrow (x-8)(x-9)=0\\\Rightarrow x=8\ or\ 9[/tex]
Therefore length and width can either be [tex]\text{8 or 9 ft}[/tex].
[tex]\Rightarrow L=8\ ft,W=9\ ft\ \text{or}\ L=9\ ft,W=8\ ft[/tex]
Through(-4,5) and (8,5)
Answer:
what?
Step-by-step explanation:
Answer:
What
Step-by-step explanation:
Whata
Oliver deposits $1,000 in his Interest-bearing bank account. The balance increases by %15 each month
Step-by-step explanation:
Oliver deposits P= $1,000
Then total amount A after n months given that the balance increases by %15 each month can be calculated as
[tex]A= 1000(1+15/100)^n[/tex]
Assuming the increase in amount is compounded monthly.
The legs of a right triangle measure 4 and 6 Inches. The area of the triangle is
5 In.
24 in.
12 in.
Answer:
24 in could be the area of the triangle
2 One yoga mat covers 1/10 of the floor of a yoga room. Each of 8 students places a yoga mat on the floor. Which shaded part of the model shows the total fraction of the yoga room’s floor that is covered by the yoga mats?
Answer:
1 student =1 mat then 1×8=8 students floor =10 your answer is 8 over 10
Question 7 options:
A right triangle has a hypotenuse that is 15 centimeters. The length of one of the legs is 10 centimeters.
The length of the other leg, rounded to the nearest tenth, is ___ centimeters.
Domino's is having a sale where everything has a 10% discount. The regular price of a 2 topping pizza is $8. What is the discount price?
Answer:
7.20
Step-by-step explanation:
The area of a rectangular parking lot is 8051 m ^2 . If the length of the parking lot is 97 m, what is its width?
Answer:
Width of rectangle = 83 meter
Step-by-step explanation:
Given:
Area of rectangle = 8,051 m²
Length of rectangle = 97 m
Find:
Width of rectangle
Computation:
Area of rectangle = Length of rectangle x Width of rectangle
97 x Width of rectangle = 8,051
Width of rectangle = 8,051 / 97
Width of rectangle = 83 meter
Angie packed same-size cubes into a rectangular prism. Image shows a base of cubes 3 units long, 2 units wide, and with a column of cubes 1 cube wide and 7 cubes tall. Which expression could be used to find the number of cubes that would fill the prism? A. ( 3 + 2 ) + 7 B. ( 3 × 2 ) × 6 C. ( 3 × 2 ) + 7 D. ( 3 × 2 ) × 7
Answer:
I believe it's C. (3 x 2) + 7!
The expression that could be used to find the number of cubes that would fill the prism will be (3 x 2) x 7. The correct option is D.
What is a rectangular prism?A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism. It is referred to as a prism because of the length of its cross-section.
The rectangular prism has a base of cubes that is 3 units long and 2 units wide, which means it has an area of 3 x 2 = 6 square units.
The prism is also 7 cubes tall. To find the total number of cubes in the rectangular prism, we need to multiply the area of the base by the height of the prism. Therefore, the expression that could be used to find the number of cubes that would fill the prism is:
(3 x 2) x 7 = 6 x 7 = 42
So the answer is D. (3 x 2) x 7.
To know more about rectangular prism follow
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The sum of 3 consecutive integers is 45. What is the product of the 1st and 3rd number.
Step-by-step explanation:
Let the required integers be x,x+1,x+2.
Therefore,
x+x+1+x+2=45
3x+3=45
3x=42
x=14
Hence, the required integers are 14,15,16.
5 1/3 is what percent
Answer:
5.33%
Step-by-step explanation:
Answer:
5.33%
if not it cpuod be 5.32% most likely to be the forst one
Step-by-step explanation:
hope this helps!
have a good day :)
I REALLY NEED HELP ASAP PLEASE EXPLAIN WILL GIVE BRAINLIEST!
Answer:
(I attached an image of the graphed lines)
Step-by-step explanation:
First, we need to graph the original function:
The given equation is written in y=mx+b form, in which m is the slope and b is the y-intercept, or where the line crosses through the y axis. This means the slope is [tex]\frac{2}{1}[/tex] and the y-intercept is -4.Next, we need to find the inverse of the function and graph that as well:
First, change f(x) in the given equation to y. These mean the same thing, it just makes it easier to work with.Swap the places of x and y. Then, the rest of the steps are essentially just isolating the variable y.Add 4 to both sides of the equation to cancel out the -4 (You will end up with -2y = x + 4)Divide both sides of the equation by -2 to isolate y (You will end up with y = (x/2) + 2)Select all of the answer choices that show the sum of 3⅖ + 2⅕.
Answer:
5 3/5
Step-by-step explanation:
17/5+11/5=28/5=5 3/5
Answer:
5 3/5
Step-by-step explanation:
3+2
2/5 + 1/5
5+3/5
5 3/5
PLEASE HELP I WILL MARK BRAINLIEST IF YOURE RIGHT.
The heights of a triangle ABC meet at a point K.AB=CK.Find the angle of C.
Answer:
45°
Step-by-step explanation:
AD⊥BC, BE⊥AC, CF⊥AB AB = CK
∠1 + ∠2 = 90° ∠5 + ∠2 = 90° ∴ ∠1 = ∠5
∠5 + ∠4 = 90° ∴ ∠4 = ∠2
AB = CK
ΔABD ≅ ΔCKD (ASA)
AD = CD ∴ΔADC is an isosceles triangle
∠C = ∠CAD = 45° (∠C + ∠CAD = 90°)
Choose the amount of money that is equal to 9 dimes. 4 quarters 3 quarters 3 nickels 2 quarters 3 dimes 4 quarters
Answer:
$4.60 dollars
3x - 7y = -40
3x - 2y = -4
Answer:
What are you solving for?
Step-by-step explanation:
Answer:
(7.5,4.1)
Step-by-step explanation:
Given
3x_7y =_40
3x_2y=_4
sol
3x_7y=_40..... equation 1
3x_2y=_4 ..... eq 2
here
eq 2 multi 3 eq 1 multiply 3
9x_21y=_120
9x_6y=_12
_ + = +
__________
0x+ 15y =108
y=108÷15
y=7.5
the y value putting the eq 1
3x_7y=_40
3x_7×7.5=_40
3x_52.5=_40
3x=52.5_40
3x=12.5
x=12.5÷3
x=4.1
HElPPPP PleaseeEeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
V = πr^2h
V = 3.14 x 3.4x 3.4 x 18.1=657.33
Which triangle is similar to triangle T
Answer:
2nd one from the left.
Step-by-step explanation:
it has the same angle measures.