Answer:
1 : 5
Step-by-step explanation:
→ Convert 1km into metres
1000
→ Put in ratio format
200 : 1000
→ Simplify
1 : 5
What is 4/5 as a decimal and what is 4/5 as a percent representation
Grant paid $12 for 4 baseball card packs. How many baseball card packs can he purchase for $21? Group of answer choices
Answer:
Grant can purchase 7 baseball card packs for $21. 12/4=3 and 21/3=7.
Answer: 7
Step-by-step explanation:
Answer:
7 packs
Step-by-step explanation:
12/4 = $3 ea.
21/3 = 7 packs
I need help. (5+5)/2
Answer:5
Step-by-step explanation:10/2=5
Answer: the answer is 5
Step-by-step explanation
Assume the random variable x is normally distributed with mean u=89 and standard deviation o=4. Find the indicated probability.
Answer:
4
Step-by-step explanation:
becouse is the rii asewei feel mw
Solve the inequality for y.
y-5<-14
Integrate V-1 divided by 1+2V+V^2
Answer:
[tex]\int\limits {\frac{V-1}{1+2V+V^{2} } } \, dv[/tex] [tex]= log V + (\frac{2 }{1+v} )+C[/tex]
Step-by-step explanation:
Step(i):-
Given
[tex]\int\limits {\frac{V-1}{1+2V+V^{2} } } \, dv[/tex]
= [tex]\int\limits {\frac{V-2+1}{1+2V+V^{2} } } \, dv[/tex]
[tex]= \int\limits {\frac{V+1}{(1+V)^{2} } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv[/tex]
= [tex]= \int\limits {\frac{1}{(1+V) } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv[/tex]
Step(ii):-
By using integration formula
[tex]\int\limits {\frac{1}{x} } \, dx =logx +C[/tex]
[tex]\int\limits {x^{n} } \, dx = \frac{x^{n+1} }{n+1} +C[/tex]
[tex]= \int\limits {\frac{1}{(1+V) } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv\\= log V + (\frac{-2(1+v)^{-2+1} }{-2+1} )+C[/tex]
[tex]= log V + (\frac{-2(1+v)^{-1} }{-1} )+C[/tex]
[tex]= log V + (\frac{2 }{1+v} )+C[/tex]
Write an equation that passes through the points (0,-5) and (8,-5)
Answer:
Equation of the line: [tex]y = -5[/tex].
Step-by-step explanation:
Let [tex](x_0,\, y_0)[/tex] and [tex](x_1,\, y_1)[/tex] denote the coordinates of these two points, respectively.
Calculate the slope [tex]m[/tex] of this line:
[tex]\displaystyle m = \frac{y_1 - y_0}{x_1 - x_0} = \frac{(-5) - (-5)}{8 - 0} = 0[/tex].
Notice that the slope is zero because the two points have the same [tex]y[/tex]-coordinates ([tex]y_0 = y_1 = -5[/tex]) even though their [tex]x[/tex]-coordinates are distinct ([tex]x_0 \ne x_1[/tex].)
Equation for this line in point-slope form:
[tex]y - y_0 = m\, (x - x_0)[/tex].
[tex]y - (-5) = 0\, (x - 0)[/tex].
Rewrite and simplify to obtain the equation of this line in slope-intercept form:
[tex]y = -5[/tex].
The [tex]x[/tex]-term was eliminated because the slope was zero.
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm
Answer:
8 cm and 9 cm
Step-by-step explanation:
This is the answer because:
1) The other two sides have to equal somethinng that is bigger than 13.
2) 5 cm + 8 cm = 13 cm, therefore, 5 cm and 8 cm is not the correct answer.
3) 6 cm + 7 cm = 13 cm, therefore, 6 cm and 7 cm is not the correct answer.
4) 7 cm + 2 cm = 9 cm, therefore, 7 cm and 2 cm is not the correct answer.
5) Finally, 8 cm + 9 cm = 17 cm, therefore, it is the correct answer since it has a bigger value than 13.
Hope this helps! :D
Answer:
8 and 9
Step-by-step explanation:
because
A pizza chef begins to spin a constant volume of dough to make a pie by spinning and tossing the dough into the air, such that the dough takes on a cylindrical shape. The dough's radius increases while the height decreases, but the dough remains a cylinder. At time t = tı, the height of the dough is 1/2 inch, the radius of the dough is 16 inches, and the radius of the dough is increasing at a rate of 2 inches per minute.
Required:
a. At time tı, at what rate is the area of the "top" of the pizza (the part with the toppings) increasing with respect to time? Show the computations that lead to your answer, and indicate units of measure.
b. At time tı, at what rate is the height of the dough decreasing with respect to time?
Answer:
a ) dAt/dt = 50,24 in/min
dh/dt = - 0,125 in/min
Step-by-step explanation:
The area of the top is At :
At = π*r²
a) Tacking derivatives with respect to time:
dAt/dt = 2* π*r * dr/dt
At t = t₁ r = 16 in and dr/dt = 0,5
Then
dAt/dt = 2*3,14*16*0,5 in/min
a ) dAt/dt = 50,24 in/min
b) The volume of the cylinder is:
Vc = π*r²*h ( where h is the heigh of the cylinder )
Tacking derivatives with respect to time
dVc/dt = 2* π*r*h*dr/dt + π*r²*dh/dt
But dVc/dt = 0 since the volume remains constant, then:
π*r²*dh/dt = - 2* π*r*h*dr/dt
r*dh/dt = - 2*h*dr/dt
dh/dt = - 2*0,5*2/16 in/min
dh/dt = - 0,125 in/min
Maria and Jane set up a lemonade stand one summer to earn money for a trip to the beach. They noticed that the hotter the day, the more glasses of lemonade they sold. They mixed up the lemonade exactly the same way every day: the same amount of sugar, lemon juice, and water. They added ice to the glass when they poured the drink. They always used the same size glass. They decided to chart their sales in order to figure out how much lemonade to make each day, using the weather forecast as their guide. Identify the independent, dependent, and controlled variables in the girls' experimental data.
Answer:
When its hotter people loose water by sweating (de-hydrating) and they replenish their bodies with Lemonade. PLEASE MARK ME BRAINLIEST!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). In this study, the explanatory variable is the
A. amount of eroded soil.
B. rate of water flow.
C. depth of the soil bed.
D. size of the soil bed.
E. None of the above.
Answer:
B. rate of water flow.
Step-by-step explanation:
Given that in a research study the explanatory variable is a form of a variable that is independent and it is used by the researcher to make predictions or analyze variations in other variables known as response variables.
Hence, in this case, the Explanatory variable is the "rate of water flow" because it is the variable researcher wishes to utilize in predicting the amount of soil washed away.
Alan jogged 3.2 miles to school and then 2.2 after school each day for 5 days. Jennifer jogged a total of 45 miles. Who jogged the most and by how much?
Answer:
Jennifer jogged the most, by 18 miles
Step-by-step explanation:
Given
Alan:
[tex]To\ School = 3.2\ miles[/tex]
[tex]After\ School = 2.2\ miles[/tex]
[tex]Days = 5[/tex]
Jennifer:
[tex]Total= 45\ miles[/tex]
Required
Who jogged most?
First, we calculate the distance covered by Alan daily
[tex]Daily = To\ School + After\ School[/tex]
[tex]Daily = 3.2\ miles + 2.2\ miles[/tex]
[tex]Daily = 5.4\ miles[/tex]
Next, we calculate the distance covered in 5 days
[tex]Distance = 5.4\ miles * 5[/tex]
[tex]Distance = 27\ miles[/tex]
By comparison, Jennifer jogged the most because 45 > 27
And the difference is:
[tex]Difference = 45\ miles - 27\ miles[/tex]
[tex]Difference = 18\ miles.[/tex]
There are 12 basketball players on the team. In order to complete the main composition of the team for the
game, the coach can choose any 5 players from the team. How many different combinations of the main
compositions the coach can complete?
I get 792 but why is the answer 7.92. Kinda don't understand.
Step-by-step explanation:
We have been given that a basketball team has 12 players and the coach wants to pick which 5 players will start today's game.
We will use combinations formula to solve our given problem. , where,
n = Number of total items,
r = Number of items being chosen at a time.
Upon substituting our given values in combinations formula we will get,
Therefore, the coach can choose from 792 combinations
Find the distance between the points (-12.3, 15.1) and (17.5, 2). Round your answer to the
nearest hundredth.
Answer:
32.55
Step-by-step explanation:
d = 32.552266
For:
(X1, Y1) = (-12.3, 15.1)
(X2, Y2) = (17.5, 2)
Distance Equation Solution:
d=(17.5−(−12.3))2+(2−15.1)2−−−−−−−−−−−−−−−−−−−−−−−−−√
d=(29.8)2+(−13.1)2−−−−−−−−−−−−−−−√
d=888.04+171.61−−−−−−−−−−−−−√
d=1–√059.65
d=32.552266
could be confusing.
Of the following sets, which represents a function?
Situation A = {student's name, all the colors that the student likes}
Situation B = {student's name, the student's favorite math teacher}
a. Only A
b. Only B
c. Both A and B
d. Neither A nor B
Answer:
Situation B is a function.
Step-by-step explanation:
We know that,
A function is a relation in which every element in the domain i mapped to a unique element in the co-domain.
That is, every element in the domain must have a unique image.
So, we see that,
Situation A = {student's name, all the colors that the student likes}
Here, the students can have more than one color which they like.
Thus, this relation is not a function.
Situation B = {student's name, the student's favorite math teacher}
Here, the students can have only one favorite math teacher.
So, this relation is a function.
Answer:
D
Step-by-step explanation:
g According to government data, 25% of employed women have never been married. If 10 employed women are selected at random, what is the probability that two or fewer of them have never been married
Answer:
The probability is 0.5263
Step-by-step explanation:
Probability of employed women being unmarried = 25% = 0.25 ( let this be p)
Probability of employed women ever being married = 1-0.25 = 0.75 (let this be q)
Now, we want to calculate the probability that two or less have never been married
We can use the Bernoulli approximation of the Binomial distribution here;
In this case, we have three cases
We have cases of;
Exactly two + Exactly one + None
For exactly two;
10 C 2 0.25^2 0.75^8 = 0.282
For exactly one
10 C 1 0.25^1 0.75^9 = 0.188
For none
10C 0 0.25^0 0.75^10 = 0.0563
Adding these 3 to get the probability of two or fewer, we have;
0.0563 + 0.188 + 0.282 = 0.5263
The temperature in Tampa increased from 4 a.m. to 4 p.m. on one day in February the tables of values below represents temperatures as a function of time
Answer:
from 6:53 a.m. to 8:53 a.m.
Step-by-step explanation:
:)
Please determine x.
Answer:
x=22.8 inches
I think T__T
Step-by-step explanation:
YES... SOMETHING I KNOW!
Use Pythagorean theroy
say 42.7=a
48.4=b
x=c
the formula is: a^2+c^2=b^2
so: 42.7^2+x^2=48.4^2
if we simplify:=1823.29+x^2=2342.56
then:519.27=x^2
It says, round to the nearest TENTH
x=22.787497
so then x would be
22.80
write a function for the table
please help I don't get it
Answer:
y=2(x-2.5)
Step-by-step explanation:
Answer:
y = 2x - 5
Step-by-step explanation:
Let us consider the points (- 2, - 9) & (0, - 5)
Equation of line in two point form is given as:
[y-(-9)]/[-9-(-5)] = [x - (-2)]/[-2 - 0]
(y + 9)/(-9 +5) = (x + 2)/ (-2)
(y + 9)/(-4) = (x + 2)/(-2)
(y + 9)/(2) = (x + 2)/(1)
(y + 9) = 2(x + 2)
y + 9 = 2x + 4
y = 2x + 4 - 9
y = 2x - 5
This is the required function.
i)1-2(2x+1)=1-(x-1)
ii)3.6x-6.1=5.9_2.4x
question from equation and inequality
Answer:
1)Solving the expression [tex]1-2(2x+1)=1-(x-1)[/tex] we get [tex]\mathbf{x=-\frac{1}{3}}[/tex]
2) solving the equation [tex]3.6x-6.1=5.9-2.4x[/tex] we get [tex]\mathbf{x=2}[/tex]
Step-by-step explanation:
We need to solve the expressions:
1) [tex]1-2(2x+1)=1-(x-1)\\[/tex]
Solving
[tex]1-2(2x+1)=1-(x-1)[/tex]
First solving the brackets
[tex]1-4x-2=1-x+1[/tex]
Simplifying
[tex]-1-4x=-x[/tex]
Adding 4x on both sides
[tex]-1-4x+4x=-x+4x\\-1=3x[/tex]
Switching the sides
[tex]3x=-1[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=-\frac{1}{3}\\x= -\frac{1}{3}[/tex]
So, Solving the expression [tex]1-2(2x+1)=1-(x-1)[/tex] we get [tex]\mathbf{x=-\frac{1}{3}}[/tex]
2) [tex]3.6x-6.1=5.9-2.4x[/tex]
Solving:
[tex]3.6x-6.1=5.9-2.4x[/tex]
Adding 6.1 on both sides
[tex]3.6x-6.1+6.1=5.9-2.4x+6.1\\3.6x=12-2.4x[/tex]
Adding 2.4x on both sides
[tex]3.6x+2.4x=12-2.4x+2.4x\\6x=12\\[/tex]
Divide both sides by 6
[tex]\frac{6x}{6}=\frac{12}{6}\\x=2[/tex]
So, solving the equation [tex]3.6x-6.1=5.9-2.4x[/tex] we get [tex]\mathbf{x=2}[/tex]
What is the awnser please!! -5r + 6 < -5(r + 2)
A company that makes hair-care products had 9,000 people try new shampoo Of the 9,00 people, 27 had an mild allergic reaction what percent of the people had a mild allergic reaction
An ostrich that is it so many inches tall is 12 in taller than three times the height of a kiwi. What is the height of a kiwi in inches?
Answer:
the height should be 4.
Step-by-step explanation:
because 12 divided by 3 is 4
Simplify to create an equivalent expression6(7-3y)+6(y+1)
Answer:
48-12y
Step-by-step explanation:
6(7-3y) + 6(y+1)
distribute the 6 on both parentheses
42-18y+6y+6
combine like terms
42-12y+6
combine like terms again
48-12y
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.
Step-by-step explanation:
Angle ACB = Angle ZXY (given)
AB = XY (given)
CB = ZY (given)
Since they both display the SSA postulate, it does not guarantee that the triangles are congruent.
Answer:
NoStep-by-step explanation:
Given
Two sides and non-included angle of one triangle is congruent to same on another triangleIt doesn't match any congruency postulates and therefore is not enough to proof that the triangles are congruent
Approximately 24% of the calls to an airline reservation phone line result in a reservation being made. (a) Suppose that an operator handles 15 calls. What is the probability that none of the 15 calls result in a reservation
-
First, rewrite
13 9
and
30 20
so that they have a common denominator.
13 9
Then, use <, =, or > to order and
30 20
13
9
<
D>
30
20
Х
?
13
9
30
20
Answer:
18/14=64+7%×r try it out
The values shows 13/30 < 9/20.
What is fraction?Fractions are the components of a collection or whole. Two parts make up a fraction. The numerator is the number at the top of the line. It indicates the number of equal portions taken from the collection or whole. The term "denominator" refers to the number below the line. It indicates the total number of identical parts that make up a collection or the total number of parts that make up the whole.
The number of parts we take is a fraction when the whole is divided into equal parts.
Given 13/30 and 9/20
to make the common denominator,
multiply by 20 in numerator and denominator of 13/30
(13 x 20)/(20 x 30) = 260/600
multiply by 30 in numerator and denominator of 9/20
(9 x 30)/(20 x 30) = 270/600
the terms with same denominator are
260/600 and 270/600
as we can see that 270/600 > 260/600
so 13/30 < 9/20.
Hence 13/30 is less than 9/20.
Learn more about fraction;
https://brainly.com/question/10354322
#SPJ2
ABCDE is aregular pentangon
X=?
Answer:
x = 5.2
Step-by-step explanation:
Measure of interior angle of a regular polygon = [tex]\frac{(n-2)\times180}{n}[/tex]
Here n = number of sides of the polygon
Interior angle of a regular pentagon = [tex]\frac{(5-2)\times180}{5}[/tex]
= 108°
By applying cosine rule in ΔABK,
(BK)² = (AK)² + (AB)² - 2(AK)(AB)cos(108)°
(x + 3)² = 4² + 6² - 2(4)(6)cos(108)°
x² + 6x + 9 = 16 + 36 - (-14.83)
x² + 6x = 57.83
x² + 6x - 57.83 = 0
x = [tex]\frac{-6\pm \sqrt{6^2-4(1)(-57.83)}}{2(1)}[/tex]
x = [tex]\frac{-6\pm16.35}{2}[/tex]
x ≈ -11.2, 5.2
Since, x can't be negative,
x = 5.2 will be the answer.
Ratio of 200m and 1km.
Answer:
the ratio of this one is 0.2\1
Answer:
To calculate the ratio, we should have both quantities in same units, so we can convert the kilometer into meters, knowing that 1 kilometerr are 1000m.
1 * 1000 = 1000m
We know we need to calculate the ratio 200:1000.
We can know divide both quantities by 200 and get...
200/200:1000/200 = 1:5
And now,, we know this ratio is 1:5..
Find the amount of simple interest that $400 would earn at 8% per year by the end of 3 1/2 years.
Answer:
$32
Step-by-step explanation: