Answer:
90 degrees
Step-by-step explanation:
Complete question
A coffee is sitting on Mr. Hunt's desk cooling. It cools according to the function T=70(0.80)^x+20, where x is the time in minutes and T is the temperature in degree Celsius. WHAT IS THE INITIAL temperature of the coffee
The initial temperature occurs at x = 0
Substitute x = 0 into the expression;
T=70(0.80)^x+20
T =70(0.80)^0+20
Since any value raise to power of zero is 1, hence;
T = 70(1)+20
T = 70+20
T = 90 degree Celsius
Hence the initial temperature of the coffee is 90 degrees
The initial temperature of the coffee is 90 degrees.
The function is represented as:
[tex]\mathbf{T = 70(0.80)^x + 20}[/tex]
At the initial temperature, x = 0.
So, we have:
[tex]\mathbf{T = 70(0.80)^0 + 20}[/tex]
Expand
[tex]\mathbf{T = 70 \times 1 + 20}[/tex]
Multiply
[tex]\mathbf{T = 70 + 20}[/tex]
Add
[tex]\mathbf{T = 90}[/tex]
Hence, the initial temperature of the coffee is 90 degrees.
Read more about functions at:
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Can someone help me pls :(
Answer:
30x-10
Step-by-step explanation:
6(5x−2)+2
Distribute:
=(6)(5x)+(6)(−2)+2
=30x+−12+2
Combine Like Terms:
=30x+−12+2
=(30x)+(−12+2)
=30x+−10
Answer:
=30x−10
Hi i have this class work of my cousing
but i need some help beacause i forgot this
the first question is 5_8
Answer:
5 < 8
-4 < 0
0 < 4
-5 < 5
-9 > -19
-5 > -8
Step-by-step explanation:
Remember, the "Alligator" or better known as the "Packman" symbol ( > < )
It will always want to "eat" the bigger number. so, 8 is bigger than five, so the "Packman" will want to go after the bigger number. 5 < 8
Which expression is equivalent to 28a - 7b?
A. 4(7a - 7b)
B. 7(28a - b)
C. 7(4a - b)
D. 7(a - 7b)
help please i rlly need it
please help!!i need this done asap i’ll make u brainiest if u do it!!
Answer:
https://brainly.com/question/22433896?answering=true&answeringSource=feedPublic%2FhomePage%2F1
Step-by-step explanation
7th grade math
plz help asap
the picture is attached
10 POINTS
Answer:
1. A, C, and E
2. 13.5
3. -3
4. $3.39
5. 9 1/4 miles
Step-by-step explanation:
Option A
Option B
Option C
Option D
Answer:
It's B
... because if you evaluate it it'll be 9x - 6xy, and 2xy + 2x^2
-6xy and 2xy are like terms
g(n) = 20(x+15) What is g(10)?
Answer:
500
Step-by-step explanation:
g (10) = 20(x+15)
= 20 (10+15)
= 20 (25)
= 500
the top of a table has a length of 7 feet and a width of 5 feet. what is the area of the table top
Answer: 35ft
Step-by-step explanation:
The area for a rectangle or square is Width times Length (W*L)
So we can take our given measurements and multiply them
[tex]5*7=35[/tex]
A rectangular playground is 28m long and 15m wide. If all sides are
extended lm outward, what is the area of the enlarged playground ?
Answer:
464m^2
Step-by-step explanation:
Given data
Dimension of the regular playground
Length= 28m
Width= 15 m
We want to extend both sides by 1 m
Length= 28+1= 29m
Width= 15+1= 16m
Hence the area
Area=Length*Width
Area= 29*16
Area= 464m^2
The Area is 464m^2
−3(3h−1)≤−7h−5
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Answer:
h<=4
Step-by-step explanation:
-9h+3<=-7h-5
-9h+7h<=-5-3
-2h<=-8
h<=4
The measure of one interior angle of a parallelogram is 50 degrees more than 4 times the measure of another angle
The measure of the smaller interior angle is
and the measure of the larger interior angle is?
Answer:
smaller ∡ = 26°
larger ∡ = 154°
Step-by-step explanation:
opposite angles are congruent
adjacent angles are supplementary
in this problem, the angles are supplementary
'x' = measure of smaller angle
x + 50 + 4x = 180
5x = 130
x = 26
The given information and the relationship between the angles of a
parallelogram can be used to find the interior angles.
The measure of the smaller angle is 26°The measure of the larger angle is 154°Reasons:
A property of a parallelogram is that the diagonally opposite angles are
equal, and the adjacent angles are supplementary.
Therefore, two of the four interior angles of a parallelogram are equal.
Let x and y represent the two angles of different measure in the
parallelogram
y = 4·x + 50°
y + x = 180°
Which gives;
y = 180° - x
Therefore;
180° - x = 4·x + 50°
180° - 50° = 4·x + x
130° = 5·x
x = 130° ÷ 5 = 26°
x = 26°y = 4 × 26° + 50° = 154°
y = 154°Therefore;
The measure of the smaller interior angle, x = 26°The measure of the larger interior angle, y = 154°Learn more about the properties of a parallelogram here:
https://brainly.com/question/9793817
help me plesase ill give brainliset
Answer:
parallelograms
Step-by-step explanation:
all sides well never touch no matter how far they stretch.
A rectangle has a length of 4 meters. The width is 2 meters more than the length. Work out the area.
Answer:
24 m^2
Step-by-step explanation:
Given data
Length= 4 meters
Width= 2+4= 6 meters
We know that the expression for the area of a rectangle is given as
A= Lenght* Width
A= 4*6
A= 24m^2
Hence the area is 24 m^2
70% of x is 63. Write an equation to find the value of x, and solve the equation. What is the value of x?
Answer:
70%of x = 63
70/100 × x = 63
x=63×100/70
x=90
Step-by-step explanation:
negative 7 over 3, the whole multiplied by x minus 3 equals negative 52
Answer:
21
Step-by-step explanation:
Can someone plz help real quick?
Answer:
1 Cm - 3 Meters
Step-by-step explanation:
Just do 15 (meters) divided by 5 centimeters. 15 divided by 5 is 3.
Graph the inequality on the axes 2x-y>5
Answer: x>1/2y+5/2 look at the picture it going to be the graph
Step-by-step explanation: Hope this help :)
Find m Help! Will mark brainliest!
Answer:
Answer is A! 38 degrees
Step-by-step explanation:
opposite side is the same
Elianna studied data collected on the school hockey team for one season. She noticed that a player on the team had 13 successful shots out of a total of 50 attempted shots. To find the percentage of the total shots attempted by this player that were successful, Elian set up the equivalent ratios below.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but based on the information given in the question, since she noticed that a player on the team had 13 successful shots out of 50 attempted shots.
The percentage of the total shots attempted by this player that were successful will be:
= 13/50 × 100
= 26%
one cookie at the bakery cost $0.65 two cookies cost $1.20 and three cookies cost $1.75 how much will half a dozen cookies cost
Answer:
half a dozen cookies would cost $3.90
Step-by-step explanation:
Which expression is equivalent to the area of square A, in square inches?
A
10 in.
24 in.
(10)(24)
o
10(24)
Saun and Exit
Answer:
10^2+24^2
Step-by-step explanation:
got 100% on the quiz
if 24 golf balls weigh 2 1/4 pounds, how much would 60 golf balls weigh
Answer:
5.625 pounds or 5 5/8 pounds
Step-by-step explanation:
(2 1/4)/24 = weight of one golf ball = 0.09375
0.09375 x 60 = 5.625 pounds or 5 5/8 pounds
Answer:
5.625 pounds or 5 5/8 pounds as a fraction
Step-by-step explanation:
Please help? If you want I can type the question in the comments too
Answer:
[tex]y = \frac{1}{2} x- 4[/tex]
Step-by-step explanation:
You can solve this by saying:
[tex]\Delta y = s \Delta x[/tex]
so in this case we have
[tex]y - (-2) = \frac{1}{2}(x- 4)\\[/tex]
Now we can simply solve for y:
[tex]y + 2 = \frac{1}{2} x- 2\\y = \frac{1}{2} x- 4[/tex]
which number is a zero of f(x) = 2x (x + 7) ( x-4)
Answer:
0, -7, 4
Step-by-step explanation:
Zeros of a function are values that make the function = 0
So, f(x) = 2x(x + 7)(x - 4) = 0
x = 0 or x + 7= 0 or x - 4 = 0
x = -7 x = 4
Note: If you were to graph f(x), the graph would intercept the x-axis at 0, -7, and 4
I need help with these questions (see image). Please show workings.
Answer:
Inscribed angle is half of the intercepted arc.Central angle is the same size as the intercepted arc.As per above two statements we have:
y = 2*58° = 116°and
z = 90°/2 = 45°Answer:
y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle
z=90/2=45
inscribed angle is half of central angle of the cyclic quadrilateral
There are 10 marbles in a paper bag, 6 of which are red. The rest are blue. You play a game with your friend. If you draw a red marble, you win. If you draw a blue marble she wins. Is this a fair game?
4x^2+9x+10+3x^2+7x+2
Answer:
7x2+16x+12
Step-by-step explanation:
=4x2+9x+10+3x2+7x+2
=(4x2+3x2)+(9x+7x)+(10+2)
=7x2+16x+12
Find the value of x. Round to the
nearest tenth.
26
12
Х
x = [ ?
Answer:
x = 10.8
Step-by-step explanation:
cos 26° = x/12
0.8988 = x/12
x = 10.785
Help!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation: