Answer:
4.164 cm
Step-by-step explanation:
Given that:
Growth of an average human fingernail = 3.47 mm per month
One mm (millimeter) = 0.1 cm (centimeter)
To find:
Growth of an average human fingernail in one year = ?
Solution:
Here, we are given the growth for one month.
There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.
Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times
Growth in one year = 12 \times 3.47 mm = 41.64 mm
In millimeters, the growth of an average human fingernail = 41.64 mm
Let us convert it into centimeters by multiplying it with 0.1.
Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1 = 4.164 cm
Write the word sentence as an inequality. Then solve the inequality.
Six times a number x is at least −24.
An inequality is
.
The solution of this inequality is
.
Answer:
The inequality is 6x ≥ -24
The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)
Step-by-step explanation:
In the inequality not more than means ≤In the inequality at least means ≥Let us solve the question
∵ Six times a number x means 6 × x = 6x
∵ At least means ≥
∴ Six times a number x is at least -24 is 6x ≥ -24
∴ The inequality is 6x ≥ -24
Now we will find the solution of the inequality
∵ 6x ≥ -24
→ Divide both sides by 6
∵ [tex]\frac{6x}{6}[/tex] ≥ [tex]\frac{-24}{6}[/tex]
∴ x ≥ -4
∴ The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)
Answer:
The inequality is 6x ≥ -24
The solution is x ≥ -4
Step-by-step explanation:
To solve this you have to divide both sides by 6, so 6 ÷ 6 cancels out and -24 ÷ 6 = -4
So, the solution is x ≥ -4
Choose a value for B so that the relation below is not a function
Answer:2
Step-by-step explanation:
plz leave a like
Which transformation of the parent square root function will result in the given domain and range? domain : [2,∞) range : [3,∞)
Answer:
B. g(x) = (x - 2)^(1/2) + 3Step-by-step explanation:
This is B
(x - 2) is not negative and defined when x≥0g(x) gets minimum value of 3 at minimum value of x = 2A class is selling smoothie tickets to raise money. It costs $700 for a bulk order of smoothies. If they charge $4.50 per smoothie ticket, what is the maximum amount of smoothie tickets they need to sell to raise at least $1,600?
A. 185 tickets
B. 200 tickets
C. 215 tickets
D. 250 tickets
Answer:
Step-by-step explanation:
Ok look, you gonna laern something’s so basically you can not be a man of a man who is a man of a man and he killed you he was the one he saw him kill him he said it would be a good day he is not the only person who he was killed him in electric he didn’t know what he saw and killed a good man he said was he killed a man he was a good father he said ihe on my way to the hospital was at my moms for my first time here in a good day with him I was with green light blue red white white yellow blue blue orange green yellow blue blue green green orange yellow yellow orange orange brown white yellow yellow white yellow orange yellow yellow green yellow blue blue i was the yellow orange orange yellow orange green yellow blue blue white white blue green green among us
E
Charles needs to mix 6 tablespoons of water with 5 tablespoons of vinegar to make a cleaning solution. How many tablespoons of water are needed for each tablespoon of vinegar?
Answer:
The answer is 1.2
Step-by-step explanation:
Where is the midpoint of AB if A(6,4) and B(5,-2)?
A (11,2)
B) (11,6)
C) (5.5,3)
D (5.5,1)
Answer:
Midpoint={5.5,1}
Step-by-step explanation:
M={x1+x2/2,y1+y2/2}
M={6+5/2,-2+4/2}
M={11/2,2/2}
M={5.5,1}
1. The zeros of a quadratic relation are 3 and The second differences are positive
a) Will the optimal value be a maximum or minimum? Justify your answer.
Answer:
The optimal, vertex, value will be a minimum
Step-by-step explanation:
The given zeros of the quadratic relation are 3 and 3
The sign of the second differences of the quadratic relation = Positive
Whereby the two zeros are the same as x = 3, we have that the point 3 is the optimal value or vertex (the repeated point in the graph of the quadratic relation) of the quadratic relation
Whereby, the table of values for the quadratic relation from which the second difference is found starts from x = 3, we have;
To the right of the coordinate points of the zeros of the quadratic relation, the positive second difference in y-values gives as x increases, y increases which gives a positive slope
By the nature of the quadratic graph, the slope of the line to the left of the coordinate point of the zeros of the quadratic relation will be of opposite sign (or negative). The quadratic relation is cup shaped and the zeros, therefore, the optimal value will be a minimum of the quadratic relation
Miguel took 7 hours to read a 259-page book and Julissa took 5 hours to read a 175-page book. Who read more pages per hour?
65 effing points, will mark brainliest! here we go again
Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation. Jeremy has set a limit that they won’t climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place. Will it be possible to climb a 950-foot rock formation within Jeremy’s time constraint? Explain why or why not.
Answer:
No
Step-by-step explanation:
The amount of minutes to climb up 1 foot of height would take around 2 to 3 minutes. if you divide 950 with 2, you get 475 which would be the time in minutes it takes to climb, if we convert 475 minutes to hours, it would be an estimate of 7.92 hours. So as we see they would need an extra 92 minutes to climb the full 950 feet. If you were able to climb it at an average rate of 135.7 ft/hr, you could make it.
(this was someone elses explanation)
If you’re correct you’ll get brainliest answer!
Factor out the coefficient of the variable term.
The expression 6s - 3/4 factored is
Answer:
[tex]6s - \frac{3}{4}=3(2s - \frac{1}{4})[/tex]
Step-by-step explanation:
Given
[tex]6s - \frac{3}{4}[/tex]
Required
Factorize
[tex]6s - \frac{3}{4}[/tex]
Express 6s as 3 * 2s
[tex]3 * 2s - \frac{3}{4}[/tex]
Express 3/4 as 3 * 1/4
[tex]3 * 2s - 3 * \frac{1}{4}[/tex]
Factorize:
[tex]3(2s - \frac{1}{4})[/tex]
Hence:
[tex]6s - \frac{3}{4}=3(2s - \frac{1}{4})[/tex]
By what percent would the area of the rectangle change if the width of the rectangle is increased by 50% and the length is increased by the same number of units?
Answer:
. i think it's wrong
Maria planted 6 pots of flowers each pot holds 8 flowers. Explain how to use the bar model to solve for the total number of flowers. Include the total number of flowers in your answer
Answer:
[tex]48[/tex]
Step-by-step explanation:
There are [tex]6[/tex] pots each of which contains [tex]8[/tex] flowers.
In the bar model it can be seen that one unit of the bar represents a pot with [tex]8[/tex] flowers. The entire bar represents [tex]6[/tex] pots. We will need to add [tex]8[/tex] six times or multiply [tex]8[/tex] with [tex]6[/tex] to find the total number of flowers.
So total number of flowers is
[tex]8+8+8+8+8+8=48[/tex]
or
[tex]8\times 6=48[/tex].
So, the total number of flower is [tex]48[/tex].
s=ut+1/2at²
u=3 a=-12 t=1/3
work out the value of s
Step-by-step explanation:
s = ut + 0.5at²
= (3)(1/3) + 0.5(-12)(1/3)²
= 1 - 2/3
= 1/3
The value of s is 1/3.
Answer:
[tex]s = ut + \frac{1}{2} a {t}^{2} \\ s = (3 \times \frac{1}{3} ) + ( \frac{1}{2} \times -12 \times {( \frac{1}{3}) }^{2} ) \\ s = (1) + ( -\frac{2}{3} ) \\ s = - \frac{1}{3} \\ s = -\frac{1}{3} \: metres[/tex]
ANSWER URGENTLY !!!
f(1) =
Answer:
f(1) = 1
General Formulas and Concepts:
Algebra I
Reading a Cartesian PlaneFunction NotationStep-by-step explanation:
f(1) is asking for the y-value when x = 1. According to the graph of f, when x = 1, y = 1. Therefore, f(1) = 1.
Jodie spent 25% less buying her English reading books thank Claudia. .Gianna spent 9% less than Claudia. Gianna spent more than Jodie by what percent? If your using decimal round to the nearest tenth
Answer:
21.3%
Step-by-step explanation:
Given that:
Money spent by Jodie for buying English reading books = 25% lesser than that of Claudia
and
Money spent by Gianna is 9% lesser than that of Claudia.
To find:
By what percent, Gianna spent more than Jodie ?
Solution:
Let the money spent by Claudia on her English books = 100
Now, as per question statement:
Money spent by Jodie = 100 - [tex]\frac{9}{100}\times 100[/tex] = 75
Money spent by Gianna = 100 - [tex]\frac{25}{100}\times 100[/tex] = 91
Now, to find the answer:
[tex]\dfrac{\text{Difference between money spent by Gianna and Jodie}}{\text{Money spent by Jodie}}\times 100[/tex]
[tex]\Rightarrow \dfrac{91-75}{75}\times 100\\\Rightarrow \dfrac{16}{75}\times 100\\\Rightarrow \bold{21.3\%}[/tex]
Therefore, Gianna spent 21.3% more than the amount that was spent by Jodie.
(-1/3+1/9) • 4^2 +5/8
A.) - 2/9
B.) 32/9
C.) -59/18
D.) 73/18
Answer:
B
Step-by-step explanation:
Twice the sum of x and 3 is decreased by 13
Given:
Twice the sum of x and 3 is decreased by 13.
To find:
The expression for the given statement.
Solution:
The sum of x and 3 is (x+3).
Twice the sum of x and 3 is two times of (x+3), i.e., 2(x+3)
Negative sign is used of decrease.
Decreased by 13 is represented by -13.
Using these representation, we get
Twice the sum of x and 3 is decreased by 13: [tex]2(x+3)-13[/tex]
Therefore, the required expression is [tex]2(x+3)-13[/tex].
A man has to drive 40 more miles to a meeting in Indianapolis compared to Chicago,
which is 160 miles away. What is the percent increase in the number of miles to
Indianapolis?
Answer:
25% i believe
Step-by-step explanation:
40 is 1/4 (or 25%) of 160
HELP FAST!! WILL GIVEV BRAINLIEST
Answer:
-2, -4, -1.5
Step-by-step explanation:
-6x+10>16
-6x>6
x<-1
(anything less than -1)
Answer:-4, -2, -1.5
Step-by-step explanation: First, simplify the equation. You should get -6x+10>16
Then, substitute the values into the place of x. If they are greater than 16, they are solutions. -4, -2, and -1.5 work. Hope this helps you!
Find the missing number to make a unit rate 6/2=3/?
Answer:
yes
Step-by-step explanation:
Answer:
i think its 6/2=3/1
Step-by-step explanation:
39 points!
Draw a right triangle and label the legs 15 cm and 17 cm. Use the Pythagorean theorem to find the length of the
hypotenuse. Show all of your work
Answer:
a^2+b^2=c^2
15+17=32cm
Step-by-step explanation:
Answer:
57.59cm
Step-by-step explanation:
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares:
c = √(a² + b²)
Right triangle with law of sines formulas. a over sin(α) equals b over sin(β) equals c, because sin(90°) = 1
Given angle and one leg
c = a / sin(α) = b / sin(β), from the law of sines
Given area and one leg
As area of a right triangle is equal to a * b / 2, then
c = √(a² + b²) = √(a² + (area * 2 / a)²) = √((area * 2 / b)² + b²)
can someone please help me
Answer:
X<2
Step-by-step explanation:
- signs will be cancelled after taking common.
then 6 is subtracted from 18 and we get 12.
then 12 is divided by 6 and we get 2.
the inequality sign will remain the same.
Answer:
Inequality Notation: x < 2See screenshot belowI hope this helps!
AB= 17 cm and BC= 12.75cm Find DB.
1. The main show tank has a radius of 70 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally.) What is the volume of the quarter-sphere shaped tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.
2. The holding tanks are congruent. Each is in the shape of a cylinder that has been cut in half vertically. The bottom of each tank is a curved surface and the top of the pool is a flat surface. What is the volume of both tanks if the radius of tank #1 is 35 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.
3. The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made one sixth of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?
Using the information from #3, answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.
Answer:
1. Volume = 5128.67 ft³
The volume if sphere is given by:
V = (4/3)πr³
If the tank is cut into half vertically, then the volume of sphere becomes.
V = (4/3)πr³ / 2
If the tank is cut into half again horizontally, then the volume of the sphere becomes.
V = (4/3)πr³ / 4
Hence, as the main tank forms a quarter sphere, its Volume is given by:
V = (4/3)πr³ / 4
It is given in the question that the radius is 70 ft.
Substitute that in the given formula:
V = (4/3)π(70)³ / 4
V = 5128.67 ft³
2. Volume of tank = 461,814 ft³
Step-by-step explanation:
Congruent tanks implies that both tanks are of identifical shape, form & dimensions. Congruent means that the tanks have the same radius as well as height. Hence, the heights and radii of tanks #1 and #2 are equal and the same.
Let's list out the information given us:
radius(tank #1) = 35 ft ⇒ radius(tank #2) = 35 ft, height(tank #2) = 120 ft ⇒ height(tank #2) = 120 ft
Volume of cylinder = πr²h
The tanks have been cut into half, as such:
Volume of tank = ½πr²h
Volume of tank = Volume(tank #1) + Volume(tank #2)
Since the tanks are congruent (same dimensions), we have:
⇒ ½πr²h + ½πr²h ⇒ πr²h
Volume of tank = π * 35² * 120 = 147,000 π
Volume of tank = 461,814 ft³
3. 1047.2 ft³
Step-by-step explanation:
The following information is missing:
The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally)
The only dimension needed for the main show tank is its radius. Then the model radius will be 1/6 * 60 = 10 feet
The volume of a sphere is:
V = 4/3 * π * r³
For a quarter sphere it is:
V = 4/3 * π * r³ * 1/4
V = 1/3 * π * r³
For the smaller mock-up tank:
V = 1/3 * π * 10³
V = 1047.2 ft³
Please help!!!! Select all the intervals where g is increasing.
Answer:
-3 < x < -2
Step-by-step explanation:
Here, we want the interval in which g is increasing
The interval are the point in which we have an upward curve
From the given graph, we can see an upward curve at -3 < x < -2
And that is our answer
Pls tell me the answer
Answer:
1/4
Step-by-step explanation:
2x^3=128
work out the value of x
Step-by-step explanation:
2x^3=128
or,x^3=128/2
or,x^3=64
or,x=3√64
or,x=4
What is the slope of the following line? 4x+2y=12 *
4
8
-2
-4
Answer:
4
Step-by-step explanation:
because if change to slope intercept form: y = mx+b
4=m
m=slope
Answer: Slope = -4.000/2.000 = -2.000
x-intercept = 285/2 = 142.50000
y-intercept = 285/1 = 285.00000
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+2*y-(12*48-2-4)=0
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
4x + 2y - 570 = 2 • (2x + y - 285)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Equation of a Straight Line
2.2 Solve 2x+y-285 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-285 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 285/1 so this line "cuts" the y axis at y=285.00000
y-intercept = 285/1 = 285.00000
Calculate the X-Intercept :
When y = 0 the value of x is 285/2 Our line therefore "cuts" the x axis at x=142.50000
x-intercept = 285/2 = 142.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 285.000 and for x=2.000, the value of y is 281.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 281.000 - 285.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.000/2.000 = -2.000
Geometric figure: Straight Line
Slope = -4.000/2.000 = -2.000
x-intercept = 285/2 = 142.50000
y-intercept = 285/1 = 285.00000
What is 843,623 rounded to the nearest hundred thousand
Answer:
800,00
Step-by-step explanation:
It's simple math
Answer:
800,000
Step-by-step explanation:
Because the ten thousand's place is not 5 or more than that!
What is 2 ÷ 1/6 ?
Please Help 100 Points
Answer:
6
Step-by-step explanation:
2/ 1/3=6
The reason why is because, when you divide a fraction it will become a multiplication and depending on the numerator and the denominator it changes the number. For example, 2/ 2/3 would be 3. Therefore, your answer to this question would be 6.