Complete question:
Between the time iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14°.
What is the net change in the temperature relative to when lko woke up?
Answer:
The net change in the temperature relative to when lko woke up =
[tex]\bold{-3}[/tex] °
Step-by-step explanation:
Given that between his wake up time and lunch time, temperature rose by 11°. Let the new temperature be [tex] \bold{T1} [/tex] and let the initial temperature(temperature before wakeup time) be [tex] \bold{T} [/tex]
Since the temperature rose by 11°, the new temperature after Iko woke up, T1, would be derived by adding 11° to the initial temperature.
i.e, T1 = T + 11......................(1)
At bed time the temperature dropped by 14°. Therefore, the temperature would now be 14 less than the new temperature T1. It is expressed as:
T1 + (-14).......................... (2)
Let's substitute T + 11 for T1 in equation 2, we have:
T + 11 + (-14)
To find the expression for the net change in temperature, let's subtract the initial temperature T, from (T+11 -14) i.e,
ΔT = (T + 11 - 14) - T
Solving further, we have:
ΔT = T - T + 11 - 14
ΔT = 11 - 14
ΔT = -3°
Therefore, the net change in the temperature relative to when lko woke up is = -3°
Data was collected on the weight of a male laboratory rat for the first 25 weeks
after its birth. The linear regression equation is y= 40x+100, where x is number of
weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?
The predicted weight of the rat in year 0.
The current weight of the rat.
The predicted weight of the rat at birth
The average increase in the rat's weight
Answer:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
Step-by-step explanation:
For this case we have the following equation given:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.
Answer:
r=3 ft
Step-by-step explanation:
it is similarity of two triangles
one
perpendicular side=10 ft
base=10/2=5 ft
second
perpendicular side=10-4=6 ft
Base r=?
[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]
What are the rules of simplifying exponents?
Answer:
To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.
Step-by-step explanation:
To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches. How many cubic inches of frosting is in the bag? Use 3.14 for pi.
Answer:27.7
Step-by-step explanation:
the formula for a cone is V=1/3πr*2h
it is 1/3 because a cone is one-third of a sphere.
you then put the information from the text in the formula and you get this
V=1/3x 3.14 (pi) x 2.1 to the power of 2 (radius is half of a diameter)x 6 (height)
then you get the answer 27.6948
round to the nearest 10th and you get
A. 27.7
Also, I took the test.
There are 27.77 in³ of frosting is in the bag.
What is volume?The amount of space, measured in cubic units, that an object or substance occupies.
Given that, To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches.
Volume of cone = ¹/₃πr²h
r = 4.2/2 = 2.1 in
h = 6 in
Volume = ¹/₃x2.1x2.1x6
= 27.77
Hence, the volume of the cone is 27.77 in³
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What is the simplest form of this expression y2 (3y + 4) + 5y3
Answer:
y2 (3y + 4) + 5y3 :))
Step-by-step explanation:
please give me a good rating lol
Answer:
y2(3y+4)=5y3
Step-by-step explanation:
what is the probability of spinning different numbers when the spinner below is spun twice
Answer:
25%
Step-by-step explanation:
Which value is equivalent to 15 − 4 × 2? A) 2 B) 7 C) 9 D) 23
Answer
D because i had it before
Answer:
B
Step-by-step explanation:
You need to do 4*2 which is 8. Then you need to subtract 15-8 to get 7.
Hope this helps.
Solve for y: 12x + 4y = 24
Plz help
A) y=4
B) y=-3x+6
C) y=-1/2x+4
D) y=2x+4
Answer: b
Step-by-step explanation:
Question 1
(01.01 LC)
Which of the following is a rational number? (1 point)
square root of 48, square root of 49, square root of 50, square root of 51
Group of answer choices
square root of 48
square root of 49
square root of 50
square root of 51
Answer:
49
Step-by-step explanation:
7 is rational and it's the square root of 49.
Answer:
[p
Step-by-step explanation:
Question 10(Multiple Choice Worth 5 points)
(01.01 LC)
Which of the following is a rational number?
square root of 15, square root of 16 square root of 17, square root of 18
square root of 15
square root of 16
square root of 17
square root of 18
Using the unit circle find the exact value. CSC -30º =
Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]
sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus
csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2
The amount Amanda earns babysitting in a month is represented by the equation a=9.5h. In the equation, a
represents the total amount Amanda earns. The number of hours she babysits is represented by h. What is the
constant of proportionality (unit rate) of a to h?
Answer:
9.5
Step-by-step explanation:
Well the constant proportionality is 9.5 because that is what makes p directly proportional to a, because when h increases, a increases, and when h decreases, a decreases.
Find the value of x and the value of y.
Answer:
B.
Step-by-step explanation:
If you extend the middle line, you will find that the two angles that the line makes are 60° and 40° by alternate interior angles.
Then, you can just make an equation:
2x + 2x - y + y + 60 + 40 = 360
4x = 260
x = 65°
Now you can use same side interior angles to make another equation:
2x - y + 60 = 180
130 + 60 - y = 180
y = 10
Find the volume of a cylinder when the radius is 9 cm and the length is 20 cm
Answer:
5089.38 cm OR 1620π
Step-by-step explanation:
The formula for the volume of a cylinder is π[tex]r^{2}[/tex]h so if the radius is 9, 9 squared is 81. We multiply 81 by 20 and that gives us 1620. So in terms of pi, it is 1620π but if you just multiply it all together, it gives you 5089.38 cm. Please mark me brainliest and I hope this helped!
Based on the radius and the length of the cylinder, we can calculate that its volume is 5,091.43 cm³.
The volume of a cylinder can be calculated by the formula:
= π x radius² x height
Solving will give:
= π x 9² x 20
= π x 81 x 20
= 5,091.43 cm³
In conclusion, the volume is 5,091.43 cm³
Find out more at https://brainly.com/question/15460773.
this is the other part! please help!
Answer:
Line B
Step-by-step explanation:
Line b is the the correct answer because the line has the most dots near or on it
you can choose more than 1
Answer:
A
Step-by-step explanation:
If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.
Hope this helped!
Answer:
A
Step-by-step explanation:
If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.
what is the answer to:
16^3/2
In my view the answer is 2,048
I am not sure about this answer..so if it is mistake then sorry
Answer:
[tex]16^\frac{3}{2} = 64[/tex]
Step-by-step explanation:
[tex]16^\frac{3}{2}[/tex]
Factor the number: [tex]16 = 4^2[/tex]
[tex]= (4^2)^{\frac{3}{2} }[/tex]
Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]
[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]
[tex]= 4^3[/tex]
Refine:
[tex]=64[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
Which statements about functions g(x) = x2 − 4x + 3 and f(x) = x2 − 4x are true? Select all that apply
A)The vertex of the graph of function g is above the vertex of the graph of function f.
B)The graphs have the same axis of symmetry.
C)Function f has a maximum value and function g has a minimum value.
Answer:
It is C i just had that question
Step-by-step explanation:
Answer:
just c i had that question too
Step-by-step explanation:
Help! I don't know how to do this! I will mark Brainliest!
Answer:
- 3y² - 7y + 6
Step-by-step explanation:
Given
(- 3y + 2)(y + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
- 3y (y + 3) + 2(y + 3) ← distribute both parenthesis
= - 3y² - 9y + 2y + 6 ← collect like terms
= - 3y² - 7y + 6
Answer:
is it A?
Step-by-step explanation:
i choose that because its the only one with -3y² which is correct
Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.
Answer:
The cone holds 9.8 cubic inches ice cream
Step-by-step explanation:
Height of cone = 6 inches
The circular opening at the top is 2.5 inches across
Diameter of cone = 2.5 inches
Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]
Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]
Volume of cone = [tex]9.8125 in^3[/tex]
Hence the cone holds 9.8 cubic inches ice cream.
What is the exponential form of log4 16 = 2?
Explenation:
Logarithm
log
b
x
is the exponent of a power with base
b
which gives the number under
log
sign (
x
).
In this example we can say that:
log
4
16
=
2
because:
4
2
=
16
Step-by-step explanation:
Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2. If the area of the base is 60 cm2, what is the total surface area of the pyramid? 84.3 cm2 108.6 cm2 157.2 cm2 168.6 cm2
The total surface area of the rectangular pyramid is the sum of the whole area. Therefore, the total surface area is 108. 6cm²
How to find the surface area of a pyramid?
The surface area of the rectangular pyramid is the sum of the whole areas.
The total surface area is the sum of the whole area.
A rectangular pyramid has 4 triangular faces and a rectangular base.
Therefore,
total surface area = 7.8 cm² + 7.8 cm² + 16.5 cm² + 16.5 cm² + 60 cm²
total surface area = 108.6 cm²
Therefore, the total surface area of the rectangular prism is 108. 6cm²
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just some math :> and meh needs halp
Answer:16
Step-by-step explanation:
5 times 2 is 10. 10 times 0 is 0. 1 times 6 is six
anyone ? please help out
Answer:
1:>
2:>
3:>
Step-by-step explanation:
Answer:
-5 > -12 -5 is greater than -12 because -5 is closer to positive numbers (0) then -12 is.
-6 > -8 -6 is greater than -8 because -6 is closer to positive numbers (0) then -8 is.
6 > -11 6 is greater than -11 because 6 is a positive number and -11 is a negative number.
Dont forget to mark brainliest please!
PLEASE HELP!!!
I don't understand....
If possible, please explain!
Answer:
A. HL
Step-by-step explanation:
It cant be B because you cant do SSA
Its not C. Because there is only 1 angle
and it cant be D because the angles dont line up.
So is A. HL
In the diagram of circle A, what is the measure of ZXYZ?
35
70°
75
140
The solution is, the value is 35 degrees, is the measure of ZXYZ.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given diagram, we get,
Using the intersecting secant theorem:
Angle xyz = 1/2( wz- XX)
Xyz = 1/2(175-105)
Xyz = 1/2(70)
Xyz= 35
The solution is, the value is 35 degrees, is the measure of ZXYZ.
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what is the distance between the pair of points.
(3, 3) and (3, −5)
Answer: 8
Step-by-step explanation:
So the right answer is 8units
Look at the attached picture
hope it will help you...
Good luck on your assignment
need help
ASAP will give 20 points!
Answer:
141
Step-by-step explanation:
24 (triangle) + 117 (trapezoid)
Answer:
141
Step-by-step explanation:
Trapezium + triangle
[½ × (16+10) × 9] + [½ × 6 × 8]
117 + 24
141 in²
What is the area of the shaded region to the nearest tenth of a foot?
Four less than 3 times a number is the same as the number plus 10 - in an equation
Answer:
4-3x=x+10
Step-by-step explanation:
4- (four less)
3x (3 times a number)
= (is the same as)
x (the number)
+10 (plus ten)
Please rate, thanks, mark brainliest if this helps!
PLEASE HELP, ILL GIVE BRAINLIEST.
URGENT.
Answer:
y=1/2x+0
Step-by-step explanation:
slope is 1/2
y=1/2x+b
plug in (0,0)
b=0
y=1/2x+0
Answer:
Equation: y=1/2x
Step-by-step explanation:
The equation's formula is: y=mx+b
m is slope b is y-intercept
Please mark brainliest! Hope this helps :)