Answer:
2.4 mass increase
Step-by-step explanation:
6-3.6=2.4
Answer:
67%
Step-by-step explanation:
formula is = the new weight - the old weight/the old weight ×100%
=6-3.6/3.6 ×100%
=2.4/3.6×100%
=0.6666×100%
=66.6% approximately
67%
find the largest value :
A=5-x^2+2x
Answer:
6
Step-by-step explanation:
A=5-x^2+2x
Rewriting
A = -x^2 +2x+5
This is a downward opening parabola so the maximum value is at the vertex
Factor out the negative sign out of the first two terms
A = -(x^2 -2x) +5
Complete the square
-2/2 = -1 -1^2 = 1
Add 1 inside the parentheses Remember the negative sign out front so -1(1) is really adding -1 so we need to add 1 outside of the parentheses
A = -(x^2-2x+1) +1 +5
A = -(x-1)^2 +6
This is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex
The maximum occurs at x=h and the value is k
The maximum is 6
I’ve been stuck on this for 3 days today is the last day please help me guys
y = x^2 - 2x - 3
Factored Form: y = (x - 3)(x + 1)
X-Intercepts: (3, 0) and (-1, 0)
Axis of Symmetry: x = 1
Vertex: (1, -4)
Domain: All Real Numbers (or negative infinity to infinity)
Range: y > -4
Hope this helps!
Plz see attachment below
Answer:
Step-by-step explanation:
Table I
Given function is,
f(x) = [tex]b^x[/tex]
From the table attached,
For x = 0.827, value of function f(0.827) = 5,
f(0.827) = [tex]b^{0.827}[/tex]
Therefore, [tex]b^{0.827}=5[/tex]
[tex]\text{log}(b^{0.827})=\text{log}(5)[/tex]
0.827[log(b)] = log(5)
log(b) = 0.8452
b = [tex]10^{0.8452}[/tex]
b = 7
Therefore, function 'f' will be,
f(x) = [tex]7^x[/tex]
For f(x) = 9,
9 = [tex]7^x[/tex]
log(9) = log([tex]7^x[/tex])
log(9) = x[log(7)]
x = 1.129
Table II
Given function is g(x) = [tex]\text{log}_b(x)[/tex]
From the given table,
For x = 7, g(x) = 1
1 = [tex]\text{log}_b(7)[/tex]
[tex]b^1=7[/tex]
b = 7
Therefore, the function 'g' will be,
g(x) = [tex]\text{log}_7(x)[/tex]
For g(x) = 1.318
1.318 = [tex]\text{log}_7(x)[/tex]
[tex]x=7^{1.318}[/tex]
[tex]x=12.9968[/tex]
[tex]x=13.997[/tex]
Timothy has 72 coins, consisting of quarters, dimes, nickels, and 8 pennies. Samantha comes and takes all of his quarters, takes 3 of his dimes, takes 2 of his nickels, and leaves him with one penny, leaving him with 45 coins. What is the value of quarters that Samantha took?
Can someone explain how to solve this problem?
Answer:
The total value of quarters that Samantha took is $3.75
Step-by-step explanation:
Timothy has 72 coins.
He has:
Q quarters
D dimes
N nickels
8 pennies.
Then:
Q + D + N + 8 = 72
Samantha takes:
3 dimes
2 nickels
Leaves him with one penny, then she takes 7 pennies.
all of the quarters, so she took Q quarters.
So now Timothy has 45 coins.
And for each particular type of coin, Thimothy now has:
D - 3 dimes
0 quarters
1 penny
N - 2 nickels
And we know that he has 45 coins, then:
(N - 2) + 1 + ( D - 3) = 45
Which we can rewrite as:
N + D + 1 - 2 - 3 = 45
N + D - 4 = 45
N + D = 45 + 4 = 49
So we have two equations:
Q + D + N + 8 = 72
N + D = 49
Now we can replace the second equation into the first one:
(N + D) = 49
then:
Q + D + N + 8 = 72
Q + (D + N) + 8 = 72
Q + 49 + 8 = 72
Now we can solve this for Q
Q = 72 - 49 - 8 = 15
So Samantha took 15 quarters.
Each quarter has a value of $0.25
Then Samantha took:
15*$0.25 = $3.75
The total value of quarters that Samantha took is $3.75
I’m so mad I have this whole exam but does anybody know this one?
Answer: i would go with the third one
Find the vertex of the following equation: y = -0.25x2 + -1.5x + 6
Hi there!
[tex]\large\boxed{(-3, 8.25)}[/tex]
Solve for the vertex by completing the square:
y = -0.25x² - 1.5x + 6
Factor out a negative:
y = -(0.25x² + 1.5x) + 6
Remember that a square binomial is:
a² + 2ab + b²
We know that:
a² = 0.25, so a = 0.5
1.5 = 2ab, so:
1.5 = 2(0.5)b
b = 1.5
b² = 2.25
Thus:
y = -(0.25x² + 1.5x + 2.25) + 6 - (-2.25)
Simplify:
y = -(0.5x + 1.5)² + 8.25
Find the vertex by factoring out 0.5:
y = -0.5(x + 3)² + 8.25
Thus, the vertex is:
(-3, 8.25)
what is the total time it will take the snowball to melt completely
Point-slope form
y -24 = -4/5(x -0)
Find x when y is 0 (X-intercept)
0 -24 = -4/5(x -0)
-24 = -4/5x
x = -120/-4
x = 30
Answer: A. 30 minutes
Put the following equation below in function notation and evaluate, using x as the independent
variable.
3x + 5y = 15; x=2
Answer:
1st option
Step-by-step explanation:
3×2+5y=15
5y=15-6
y=9/5
Answered by GAUTHMATH
PLZZZZZZ HELP! Find the area.
Answer:
14.88 km
Step-by-step explanation:
add both base 1 and base 2 together divide them by 2 then multiply by the height.
If I can read 10 pages in 50 minutes, how many pages will I read in an hour and a half
Answer:
18 pages
Step-by-step explanation:
that means you can read 2 pages in 10 minutes.
an hour and a half is 90 minutes.
90 is 9 times more than 10.
so we do 2 * 9 = 18 pages
a teacher writes the following product on the board (3x) (x^2+6) = 3x^3 + 18x Eduardo says that 3x^3 + 18x is a factor of 3x
Your answer is attached above. hope it helps
find the 10 degree value can u help me on it
Solution:-10
As <AGQ and <EQG are corresponding interior angles
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 60°+a=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow a=180-60[/tex]
[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow a=120}[/tex]
<AGQ=<PQR=60°<BHF=<PRQ=75°[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow b=75°}[/tex]
According to angle sum property
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow b+c+<PQR=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c+75+60=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c+135=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c=180-135[/tex]
[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow c=45°}[/tex]
A farmer has an orchard that covers an area of 40 acres. He grows apples on 25 acres, peaches on 7 acres, nectarines on 5 acres, and plums on 3 acres. The fruit trees are equally distributed within the orchard. A tree is chosen at random. Rounded to the nearest tenth of a percent, what is the theoretical probability that the tree is not within the acres of apple trees
Answer:
37.5%
Step-by-step explanation:
Calculation to determine the theoretical probability that the tree is not within the acres of apple trees
Using this formula
P=(Number of all orchard acres - Apple acres)/(Total orchard acres)*100
Where,
P represent Probability
Let plug in the formula
P=(40 acres- 25 acres)/40 acres
P=15 acres/40 acres *100
P=3/8*100
P=.375*100
P=37.5%
Therefore the THEORETICAL PROBABILITY that the tree is not within the acres of apple trees is 37.5%
Answer:
the answer is 37.5
Step-by-step explanation:
it is
Fill in each box with the probability of the event that it represents. The following questions can be answered using your area model.
pleeeeaaseee help!!!!
Answer:
[tex]a. \ \dfrac{1}{36}[/tex]
[tex]b. \ \dfrac{4}{9}[/tex]
[tex]c. \ \dfrac{5}{6}[/tex]
Step-by-step explanation:
The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2
The probability of rolling any of the six numbers of the six-sided die = 1/6
a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;
P(rolling a 3) = 1/6, P(Blue) = 1/6
∴ P(3 and Blue) = (1/6) × (1/6) = 1/36
P(3 and Blue) = 1/36
[tex]P(3 \ and \ Blue) = \dfrac{1}{36}[/tex]
b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;
P(rolling a 1) = 1/6, P(Orange) = 1/3
P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)
Where;
P(1 and Orange) = (1/6) × (1/3) = 1/18
∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9
P(1 or Orange) = 4/9
[tex]P(1 \ or \ Orange) = \dfrac{4}{9}[/tex]
c. The probability of not spinning a blue, P(not Blue) is given as follows;
P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)
∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6
P(not Blue) = 5/6
[tex]P(not \ Blue) = \dfrac{5}{6}[/tex]
Does the graph represent a linear expression?
Yes or No
Please answer fast!
Write these sums as decimals:
2/100 + 3/1,000 =
1/10 + 4/10,000 =
Answer:
1 ) 0.023
2 ) 0.1004
Step-by-step explanation:
2 / 100 + 3 / 1000
= 0.02 + 0.003
= 0.020 + 0.003
= 0.023
1 / 10 + 4 / 10,000
= 0.1 + 0.0004
= 0.1000 + 0.0004
= 0.1004
What is the slope of the line that passes through (-4,5) and (2,-3)
Answer:
solution,
(X1,y1)= (-4,5)
(X2,Y2)=(2,-3)
slope of the line(m)= y2-y1/x2-x1
=-3-5/2-(-4)
=-8/6
=-4/3
Solve for 2. Round to the nearest tenth, if necessary.
B
X
A
7.9
154
Answer: <=
Submit Answer
attempt 1 out of 2
Answer:
x = 10.9
Step-by-step explanation:
Since this is a right triangle, we can us trig functions
tan theta = opp / adj
tan 54 = x / 7.9
7.9 tan 54 = x
x=10.87341
Rounding to the nearest tenth
x = 10.9
Can anyone help me with this pls :)
find the value of a and b if [tex]5+√3/7+2√3=a-b√3[/tex]
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.
Step-by-step explanation:
There are mistakes in the statement, correct form is presented below:
[tex]5+\frac{\sqrt{3}}{7} + 2\sqrt{3} = a - b\cdot \sqrt{3}[/tex].
By direct comparison we have the following system of equations:
[tex]a = 5[/tex] (1)
[tex]\frac{\sqrt{3}}{7}+2\sqrt{3} = -b\cdot \sqrt{3}[/tex] (2)
In (2) we solve for [tex]b[/tex]:
[tex]\left(\frac{1}{7}+2 \right)\cdot \sqrt{3} = -b\cdot \sqrt{3}[/tex]
[tex]b = -\frac{15}{7}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.
The cars get miles to the gallon. After the car has traveled miles. 2 2/3 gallons of gas has been consummed
Answer:
80 miles
Step-by-step explanation:
Please find attached the graph used in answering this question
On the graph, the distance travelled is on the vertical axis while the gallons consumed in on the horizontal axis
from the graph, the following can be deduced :
0 gallons is consumed when the car travels 0 mile
1 gallon is consumed when the car travels 30 miles
2 gallons is consumed when the car travels 60 miles
total mile travelled when the gallons consumed is : 2 2/3 x 30
8/3 x 30 = 80 miles
if the probability of winning the netball game is 0.7, what is the probability of not winning the game?
I need help please Brainly fam
Answer:
The third one
Step-by-step explanation:
Just took the quiz
The cost of tickets of a comedy show of 'Gaijatra' is Rs 700 for an adult and Rs 500 for a child. If a family paid Rs 3,100 for 5 tickets, how many tickets were purchased in each category?
Answer:
Step-by-step explanation:
We need to create a system of equations here, one for the NUMBER of tickets sold and one for the COST of the tickets. They are very much NOT the same thing.
We have that the total number of tickets is 5, and that that total is made up of adult tickets and child tickets. The equation for the NUMBER of tickets, then, is:
a + c = 5
Now for the money.
If a child ticket costs Rc 500, the expression that represents that that is in fact the cost of the child ticket is 500c;
likewise for the adult ticket. If the adult ticket costs Rc 700, the expression that represents that is 700a.
And we know that a total of Rs 1300 was spent on the tickets. The equation for the COST is
700a + 500c = 1300
Now go back to the first equation and solve it for either a or c, it doesn't matter which. I solved for a:
a = 5 - c and we will sub that into the second equation for a:
700(5 - c) + 500c = 1300 and
3500 - 700c + 500c = 1300 and
-200c = -400 so
c = 2 tickets. That means that there were
a = 3 tickets sold for the adults.
can someone help asap
Which of the following are equations for the line shown below? Check all that
apply.
(-2,5)
5+
-5
5
(2,-3)
A. Y-5 = -2(x + 2)
B. y = -2x + 1
O c. y + 3 = -2(x - 2)
D. y = -2x - 7
c) y= -2x +1
Step-by-step explanation:
y= -2x +1
m= (- 3 -5)/2+2
= -2
c=1
y-(-3)= -2(x-2)
y= -2x +4 -3
y = -2x+1
This year, a small business had a total revenue of $42,900 . If this is 35% less than their total revenue the previous year, what was their total revenue the previous year?
if this value 35% less than the total, we conclude that:
42,900 = 65%
1% = 660
100% = 66,000
if you want to check the value, just do 65% of 66000, which equals to 42,900
hope it helps :)
Ryan loves collecting keychains from his family vacations. He currently has 15 keychains in his collection and wants to add 5 keychains each year. How many keychains will be in his collection in 18 years?
A model of the Saturn V rocket has a scale of 1 inch = 12 feet. If the model rocket is 30 inches tall, how tall was the actual Saturn V rocket
Answer:
360 feets
Step-by-step explanation:
Given :
Scale : 1 inch = 12 feets
This means 1 inch on paper (model) represents 12 feets in real life
If the model height = 30 inches ;
The actual height of the Saturn V rocket will be :
1 inch = 12 feets
30 inch = x
x = (30 * 12)
x = 360 feets
Actual height = 360 feets
Help anyone can help me do this question,I will mark brainlest.
Circumference of a circle = 2πr
So,
[tex]circumference = 2\pi \: r \\ = > circumference = 2 \times \frac{22}{7} \times \frac{63 \: cm}{2} \\ = > circumference = 2 \times \frac{11}{7} \times 63 \: cm \\ = > circumference = 2 \times 11 \times 9 \: cm \\ = > circumference = 198 \: cm[/tex]
Answer: Therefore, the circumference of circle is 198 cm.
Step-by-step explanation:
diameter = 63 cm
radius = 63/2 = 31.5 cm
circumference = ?
circumference or perimeter of circle = 2*pi*r
= 2*(22/7)*31.5
= (44/7)*31.5
= 198 cm
