Answer:
2 (x - 2) (x + 9)
Step-by-step explanation:
Mark brainliest please
A body was found at midnight in a warehouse where the temperature was 55. The medical examiner found the temperature of the body to be 66. What was the approximate time of death?
Answer:
5 p.m.
Step-by-step explanation:
Newton's law of cooling-
[tex]T(t)=t_a+(t_0-t_a)e^{-kt}[/tex]
where,
[tex]t_0[/tex] = the initial temp. = 98.6 F (human body temp.)
k = 0.1947,
T(t) = 66 F,
[tex]t_a[/tex] = 55 F,
Putting the values,
[tex]\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h[/tex]
Therefore, the time of death was 7 hours before midnight i.e at 5 pm.
Which of the following equations is equivalent to S = pi r squared h?
Q: Which of the following equations is equivalent to S = pi r squared h?
A: B (CC ALGEBRA 2A, ED20)
The equations is equivalent to S = pi r squared h would be; B. h=S/πr²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
To know the equation equivalent to πr²h, we will make h the subject of the formula from the one given in equation.
S = πr²h
To get h, we needd to divide both sides by the coefficient of h (i.e πr²)
S/πr² = πr²h/πr²
S/πr² = h
h = S/πr²
This equation shows that h = S/πr² is equivalent to S = πr²h
Learn more about equations here;
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What is the value of y when x = 6?
-3x + 9y = 18
Answer:
y = 6
Step-by-step explanation:
-3x + 9y = 18
-3(6) +6y = 18
-18 +6y = 18
Add 18 to each side
-18+18 +6y =18+18
6y = 36
Divide each side by 6
6y/6 = 36/6
y = 6
please help me i have been trying this for so long.
Answer:
The value of a is 101°, b is 79°, c is 83° and d is 97°
12 is the median age of the kids at my camp. There are 10 kids who are older than 12 and 10 kids who are younger than 12.
Answer:
There are 25 kids in total.Step-by-step explanation:
Remember that the median represents the value at the middle, literally.
So, if 12 is the median, it means is the value at the center of the data set.
Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.
Therefore, there are 25 kids in total.
A project cost at $160 and add 20% VAT, How much does it change the job?
Answer: 192
Step-by-step explanation:
160 + (20% × 160) =
160 + 20% × 160 =
(1 + 20%) × 160 =
(100% + 20%) × 160 =
120% × 160 =
120 ÷ 100 × 160 =
120 × 160 ÷ 100 =
19,200 ÷ 100 =
Welcomeeee
convert 55/100 to a decimal, please
Answer:0.55
Step-by-step explanation:
OK decimal means one number before (.) (point)
for example if question is
1.) 55/10 = ans: 5.5 (here before . (point) 5 is there only one number
2.)55/1000= ans: 0.055(here before .(point) 0 is there only one number
3.)like ur question 55/100= 0.55 ☻
Answer: 0.55
Step-by-step explanation:
Because 55/100 is 55% and 55% in decimal form is .55. Always move the decimal to the right when the percentage is under 100%.
A radio host plans to play one song from each of the three CDs he has by a single artist. The first
song will come from a CD that has 12 songs. The second song will be selected from a CD that
includes 14 songs while the third CD has 13 songs.
Using the Fundamental Counting Principal find the number of possible ways to play the
music.
13 poi
Answer:
2184 ways
Step-by-step explanation:
We need to choose exactly one song from each CD, so the number of possible ways to choose a song from a CD is the number of songs in that CD.
The first song is from a CD with 12 songs, so there are 12 possibilities of choosing a song.
The second song is from a CD with 14 songs, so there are 14 possibilities of choosing a song.
The third song is from a CD with 13 songs, so there are 13 possibilities of choosing a song.
Now, to find the number of possible ways to play these songs, we just need to multiply the number of possibilities for each song:
Number of possible ways = 12 * 14 * 13 = 2184 ways
a = 6 and b = 24 work out the values a) a+b b) ab c) b/a d) d) (a+b)^2
Answer:
a) 30
b) 144
c) 4
d) 900
Step-by-step explanation:
a) 6 + 24 = 30
b) 6 * 24 = 144
c) 24 ÷ 6 = 4
d) [tex]30^2=900[/tex]
Answer:
a) 30
b) 144
c) 4
d) 900
Step-by-step explanation:
a) 24+6
b) 6(24)
c) 24/6
d) (24+6)^2
Find the perimeter and area of a 4 m by 12 m
rectangle.
Answer:
P=32m
A=48 m^2
Step-by-step explanation:
if two shorter sides are 4m each and the two longer sides are 12 m
4+4+12+12 to find the total P
Area, time the LENGTH by WIDTH to find the squared meters in the rectangle .
4x12 = AREA
A piece of timber is x cm long. 7 cm is cut off. How much is left?
Answer:
x-7>0
Straight answer: x-7
Step-by-step explanation:
Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0
Find the equation of the line parallel to line h that passes through (–4, 2).
A) y = 1/3x + 10/3
B) y = -1/3x + 2/3
C) y = 3x + 14
D) y = -3x - 10
Answer:
A) y = 1/3x + 10/3
Step-by-step explanation:
Ky buys three tshirts originally priced at 49.96the stores discount applys 7.1 tax
Answer:
42
Step-by-step explanation:
49-7=42
is it true or false , why and why not ?
9a is equivalent to 11a - 2a
Answer:
true
Step-by-step explanation:
11a - 2a
Factor out a
a(11-2)
a *9
9a
Answer:
9a is equivalent to 11a - 2a because 11a-2a=9a
Step-by-step explanation:
What is the common denominator method. Pls explain with detail
Answer:
when both bottom numbers on a fraction are the same at the lowest form
Step-by-step explanation:
example: 2/4 + 6/8 the common denomenator is 8 as both numbers go into it and you only have to times by 2 so answer would be 10/8 which is also 1 2/8
Merryvale Orchards sold 85 bags of oranges yesterday. Each bag contained 32 oranges. Round each number to the nearest ten to estimate the number of oranges sold
Answer:
2720 oranges were sold
Factor the expression 15x+10 using the GCF.
Help plz ASAP will give brainliest to first who solves!
Answer:
The greatest common factor is 5.
15x+10=5(3x+2)
part 4. Find the measure of the indicated angle to the nearest degree
Answer:
hope this helps you
If x and y are positive real numbers, which expression is equivalent to the expression below?
(49x^2y)^1/2(27x^6y^3/2)^1/3
A.) 21x/^3y
B.) 10x^2y
C.) 10x^3y
D.) 21x^3y^2
The answer is A.) 21x/^3y
Here is proof
£580 is divided between Sushil, Fiona & Pip so that Sushil gets twice as much as Fiona, and Fiona gets three times as much as Pip. How much does Fiona get?
Answer:
Fiona gets £ 174
Step-by-step explanation:
Ths problem has three unknowns: the amounts each person gets. So let's identify each amount with a letter to write them in mathematical equation form:
Amount Sushil gets is : "x"
Amount Fiona gets is : "y"
Amount Pip gets is : "z"
Now we write three equations based on the information we have:
1) the addition of all these amounts should equal the 580 total:
x + y + z = 580
2) Sushil (x) gets twice as much as Fiona (y):
x = 2 y
3) Fiona (y) gets three times as much as Pip (z):
y = 3 z
So we can write the first equation in terms of "z" only, by using the appropriate substitutions in the intermediate stes:
Replace every instance of "y" with "3 z":
Equation 2 can give then "x" in terms of "z" as well:
x = 2 y = 2 (3 z) = 6 z
Then Eq 1 becomes:
6 z + 3 z + z = 580
10 z = 580
and therefore:
z = £ 58
Now Fiona's amount (y) is "3 times z", therefore:
y = 3 * 58 = £ 174
Can someone pls help me solved this problem plz! I really need help plz someone help me solved it! I need help ASAP!
Answer:
a) 0
b) 4.5
c) 3
d) 6
Step-by-step explanation:
Formula: 3x + 4y = 12
The questions contains the values of x. So here's an example of:
d) x = -4, y = ?
Using the formula: 3(-4) + 4y = 12
-12 + 4y = 12
4y = 24
y = 6
Do the same for the others!
1/6book
2/3hour
as a unit rate.
Answer:
4 hours per book
Step-by-step explanation:
The unit rate per book can be found when the number of books read is 1.
To make 1/6 into 1, you need to multiply by 6, meaning that you have to multiply the time taken by 6 as well.
2/3*6=4 hours per book
Hope this helps!
4. Rewrite a formula to isolate a variable:
The velocity(v) of a rocket depends on the time it was firing its boosters(t), and on
the exhaust velocity(c) and on the ratio of mass full to empty(R). Units are km/s.
v = -0098t + c ln R
a. Rewrite the formula so that it solves for R.
V=-0098t + clnR
Answer:
[tex]v=-0.098t+c\ln(R)\\c\ln(R)=v+0.098t\\ln(R)=\frac{v+0.098t}{c} \\R=e^{\frac{v+0.098t}{c}}[/tex]
the measure of angle 1 is twice the measure of angle 2, and angle 1 and angle 2 are linear pair. Find the measure of angle 1.
Answer:
m<1=120
Step-by-step explanation:
A linear pair adds up to 180 degrees.
So <1+<2=180
Let <2=X, that would make <1=2X because <1 is 2 times more.
So substitute that into the equation.
2x+x=180.
Combine like terms and get 3x=180
Divide both sides by 3 and get x=60.
Substitute that into <1 and get <1=120
Find the slope and the y-intercept of the graph of the linear equation. y = −7x + 2 *
Answer:
slope = - 7, y- intercept = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 7x + 2 ← is in slope- intercept form
with slope m = - 7 and y- intercept c = 2
hurrryyyyy!!!! Need answer for work.
Answer:
x<7, The third option
Step-by-step explanation:
-1.1x+6.4>-1.3
We are trying to isolate x so we can move all the constant to one side.
-1.1x>-1.3-6.4
-1.1x>-7.7
Lastly, we need to divide both sides by -1.1.
-1.1x>-7.7/-1.1
Note that if you multiply or divide both sides of an inequality by a negative, then you need to flip the sign.
x<7
Hope this helps :)
Answer:
I believe it is the third option. It is really hard to explain. Lots of workout and I don't have enough time for it nut it is the third option...
Suppose that a particular experiment will have outcome “A” with probability 13 and outcome “B” with probability of 23. If you were to perform this experiment 90 times, approximately how many times would you expect outcome “B” to occur
Item 50
There are 6 green marbles and 7 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble? Write your answer as a fraction in simplest form.
Answer:
6/13
Step-by-step explanation:
There are 13 marbles total in the bag.
The chance of picking a green marble is 6/13. This fraction cannot be simplified.
HLPPPPPPPP MEEEEEEEEEEEEE PLZZZZZZZZZZZZ if d is the circumference of abc what is the measure of aex
Answer:
∠AEX = 70°
Step-by-step explanation:
From the diagram
AX ≅ BX
BY ≅ CY
AZ ≅ CZ
∠XAE = 20°
A circumcenter has equal distant from vertices of the triangle since radii of circles are congruent.
For the given figure, the midpoints is at Z, X, Y
And the perpendiculars also occur at Z, X, Y
∠Z = 90°
∠X = 90°
∠Y = 90°
∠XAE ∠AXE +∠AEX= 180° (sum of angles in a triangle)
∠AXE = ∠X = 90°
20° + 90° +∠AEX= 180°
110° +∠AEX= 180°
∠AEX = 180°-110°
∠AEX = 70°
Analyze the set below and answer the question that follows. (KUM) n (KUL) Which Venn diagram has shading that represents the given set?
Answer:
Choice A. The shading in the Venn Diagram shown in the first attachment represents the set [tex](K \cup M) \; \cap \; (K \cup L)[/tex].
Step-by-step explanation:
Let [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex] be sets. By the distributive law of sets, [tex]A \cup (B \cap C)[/tex] and [tex](A \cup B) \cap (A \cup C)[/tex] refer to the same set.
Apply this property to simplify the given expression:
[tex]\begin{aligned}(K \cup M) \; \cap\; (K \cap L) = K\cup (M \cap L)\end{aligned}[/tex]
[tex]M \cap L[/tex] refers to the intersection between the two lower circles. The union of that intersection with set [tex]K[/tex] (the upper circle) would be the shaded region seen in choice A.