Answer:
b. 6x + 6y
Step-by-step explanation:
x groups of 6 red roses
y groups of 6 white roses
of in math means multiply
so it is 6 times plus 6 times y
it could also be written as 6x+6y
(when a letter stands next to a number you multiply it)
A student designs a container to prevent an egg from breaking when dropped from a height of 30 feet. Write a function that gives the height h (in feet) of the container after t seconds.
Answer:
As i understand, you put an egg inside a container, and then you drop it from 30ft above the ground.
Now, when the container is in the air, the only force acting on it will be the gravitational force (we can discard things like the air resistance, as we do not know the shape or volume of the container).
The gravitational acceleration is g = 32.2ft/s^2
Then the acceleration of the container will be:
A(t) = -32.2ft/s^2
For the velocity, we need to integrate over time to get:
V(t) = (-32.2ft/s^2)*t + v0
where v0 is the initial velocity, as the container is "dropped", the initial velocity is zero, then:
V(t) = (-32.2ft/s^2)*t
For the position, or height in this case, we integrate again over time, and get:
P(t) = (1/2)*(-32.2ft/s^2)*t^2 + p0
Where p0 is the initial height, 30 ft in this case.
Then the equation for the height, as a function of time, is:
P(t) = (-16.1ft/s^2)*t^2 + 30ft.
Where the fact that the container is made in such a way that an egg inside of it does not break (For example, made of a really dense and elastic material that can absorb all the energy of the impact), does not change anything in this equation, as the kinematics do not depend on that kind of properties.
ASAP please i need helppp
PLEASE HELP!!!
In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?
4 + 3p ≤ 40
4 + 3p ≥ 40
4p + 3 ≥ 40
4p + 3 ≤ 40
Answer:
its c bro
Step-by-step explanation:
whats 2+2? please help i literally dont know
Answer:
2 + 2 = 4
Step-by-step explanation:
Clara is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Clara's body after time t:
t (hours) 1 2 3 4 5
f(t) (mg) 236.5 223.73 211.65 200.22 189.41
Heidi was administered 300 mg of the same medicine. The amount of medicine in her body f(t) after time t is shown by the equation below:
f(t) = 300(0.946)t
Which statement best describes the rate at which Clara's and Heidi's bodies eliminated the medicine?
A) Clara's body eliminated the antibiotic faster than Heidi's body.
B) Clara's body eliminated the antibiotic at the same rate as Heidi's body.
C) Clara's body eliminated the antibiotic at half of the rate at which Heidi's body eliminated the antibiotic.
D) Clara's body eliminated the antibiotic at one-fourth of the rate at which Heidi's body eliminated the antibiotic.
Answer: Clara's body eliminated the antibiotic at the same rate as Heidi's body.
Step-by-step explanation:
1) Let's write the data of Clara's table just to have them ready to compare
t (hours) 1 2 3 4 5
f(t) (mg) 236.5 223.73 211.65 200.22 189.41
Change(mg) - -12.77 -12.05 -11.43 -10.81
2) Now calculate the amount of medicine as per Heide's formula, 300(0.946)^t:
t (hours) 1 2 3 4 5
f(t) (mg) 283.8 268.48 253.98 240.26 227.29
Change (mg) -15.12 -14.5 -13.72 -12.97
Now you can compare the data and realize that the rate of change of Heide is greater than the rate of change of Clara, meaning that Heide eliminates the medicine faster than Clara.
what is the measurement of the smaller angle
Answer:
IS 60 DEGRES
Step-by-step explanation:
U TIMES THE ANGLE
Answer:
I think it's 30 degrees but I'M NOT SURE
Step-by-step explanation:
Complementing is 60 degrees
So 90 degress takeaway 60 is 30 degrees.
Baxter has a recipe for salad dressing that calls for 2/3 cup olive oil, 1/4 cup vinigar, and 4/3 cup puréed avocado. How much vinegar does baxter need to make 6 cups of dressing?
Answer:
1 1/2 cups of vinegar
Step-by-step explanation:
Baxter has a recipe for salad dressing that calls for 2/3 cup olive oil, 1/4 cup vinegar, and 4/3 cup puréed avocado. How much vinegar does baxter need to make 6 cups of dressing?
1 cup of dressing = 1/4 cup vinegar
6 cups of dressing = x
Cross Multiply
1 × x = 6 × 1/4
x = 6/4
x = 1 1/2 cups of vinegar
Graph y=15x+3.
Question 2
Identify the x-intercept.
x-intercept:
Answer:
y=19
Step-by-step explanation:
A right triangle has sides that are 40 feet, 9 feet, and 41 feet. Which one of these is the hypotenuse? Explain your reasoning.
Answer:
41 feet
Step-by-step explanation:
the biggest number will always be the hypotenuse, because it is a right trangle.
Answer:
41 feet
Step-by-step explanation:
Pythagorean theory: 9squared+40squared=41squared
What is an equation in slope intercept form for the line perpendicular to y = - 2x + 5
that contains (-8, 1)?
1
A.O
y - 8 = 2 (x + 1)
B. O y=-2x - 1
C.O. 1
=
0:0 x = žy + 14
Answer:
[tex]\displaystyle y =\frac{1}{2}x+5[/tex]
Step-by-step explanation:
Equation of the line
The slope-intercept form of a line is given by:
[tex]y=mx+b[/tex]
Being:
m = the slope of the line
b = the y-intercept
We can also use the point-slope form of the line:
[tex]y - k=m(x-h)[/tex]
Being:
(h,k) = A point that belongs to the line
Two lines of slopes m1 and m2 are perpendicular if:
[tex]m_1.m_2=-1[/tex]
We are given the line:
[tex]y=-2x+5[/tex]
Whose slope is m1=-2
Thus, the perpendicular line has a slope of:
[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]
[tex]\displaystyle m_2=-\frac{1}{-2}[/tex]
[tex]\displaystyle m_2=\frac{1}{2}[/tex]
The required line contains the point (-8,1), thus the equation is:
[tex]\displaystyle y - 1=\frac{1}{2}(x+8)[/tex]
Removing the parentheses:
[tex]\displaystyle y - 1=\frac{1}{2}x+\frac{1}{2}\cdot 8[/tex]
Adding 1:
[tex]\displaystyle y =\frac{1}{2}x+\frac{1}{2}\cdot 8+1[/tex]
Operating:
[tex]\displaystyle y =\frac{1}{2}x+4+1[/tex]
[tex]\mathbf{\displaystyle y =\frac{1}{2}x+5}[/tex]
A. Add The Following Integers
1.(-25) + (+17)
2. (+73) + (-29)
3. (-89) + (103)
4. (+194) + (+ 57)
5.(-217) + (+104)
6.(+63) + (-171)
7.(-13) + (+21) + (-17)
plsss po!.......
Answer: 1. -8, 2. 44, 3. 14, 4. 251, 5. -113, 6. -108, 7. -9
Step-by-step explanation: To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
Step-by-step explanation:
1. (-25)+(+17)=-8
2.(+73)+(-29)=44
3.(-89)+(103)=14
4.(+194)+(+57)=251
5.(-217)+(+104)=-113
6.(+63)+(-171)=-108
7.(-13)+(+21)+(-17)=-9
What is the equation of the following graph in vertex form?
A) y = (x - 1)^2
B) y = (x - 1)^2 + 1
C) y = (x + 1)^2 - 1
D) y = (x + 1)^2
Answer:
D) y = (x+1)^2
Step-by-step explanation:
Given the graph, the y-intercept is 1, and the x-intercept is -1. Only equation that works is D:
When we plug in x=-1:
y=(-1+1)^2
y=0
This is shown on the graph
When we plug in y=1:
1=(x+1)^2
1=x+1
0=x
x=0
This shows up on the graph
Solve for b. -9b =27
b=
Answer:
0 ig
Step-by-step explanation:
-9b=27b
+9b +9b
0=39b
/0
b=0
Answer:
-3
Step-by-step explanation:
I need help really quick
Answer:
$162.50
Step-by-step explanation:
I=Prt
I=(5000)(0.065)(0.5)
I=162.50
0.5 = 6 months, which is half of a year
0.065 = the percent (6.5%) in decimal form
Answer:
$162.50
Step-by-step explanation:
I=Prt
I=(5000)(0.065)(0.5)
I=162.50
0.5 = 6 months, which is half of a year
0.065 = the percent (6.5%) in decimal for
Step-by-step equestion
find the value of x please thank you
==============================================
Work Shown:
For any convex quadrilateral, the interior angles always add up to 360.
80+3x+x+3x = 360
7x+80 = 360
7x = 360-80
7x = 280
x = 280/7
x = 40
Untitled Question
f(n)=n - 5
g(n)= In +2
Find (f +9)(-8)
A. -43
B. 37
C. -27
D. 21
Answer:
B
Step-by-step explanation:
I copied some smart kid
Which statement is true about the discontinuities of the function f(x)= x^2-4/ x^3-x^2-2x
Answer: CCCCCC
Step-by-step explanation:
Which multiplicative property is being illustrated below?
(Type commutative, associative, or identity)
5 × 2 × 4 = 2 × 5 × 4
PLEASE HELP!!!
Tank chu. :3
n + 17.22 = 21 what is the answer
Answer:
3.78 because u subtract 17.22 from 21
Answer: Please make your question clearer next time.
n= 3.78
Step-by-step Explanation:
Subtract 17.22 from both sides of the equation.
n + 17.22=22
n + 17.22 - 17.22 = 21 - 17.22
Simplify: 21 - 17.22= 3.78, Therefore n= 3.78.
What number should go in the empty boxes to complete the calculation for finding the product of 0.63 × 0.24
Step-by-step explanation:
The answer is 0.1512 plz give me robux
Which binomial is a factor of x2 - 7x + 12?
A.
(x - 3)
B.
(x + 4)
C.
(x - 12)
D.
(x - 2)
Answer:
A.(x - 3)
Step-by-step explanation:
Please I need the answer
Answer:
y: -5, -2, 1, 4, 7
Step-by-step explanation:
just search for a graphing calculator to see the table or drawn out version of the graph. (i used desmos graphing calc)
The price of a video game was reduced from $75 to $45. By what percent was the price of the video game reduced?
Answer;
40%
Explanation;
h = 100 * 45 - 75 / 75 = -3000 / 75 = -40 / 1 = 40%
the vertices of a triangle are located at (-3,-1), (2,3),(5,2). record the triangles perimeter to the nearest whole number
Answer:
The perimeter of the triangle is approximately equal to 18
Step-by-step explanation:
The coordinates of the vertices of the triangle are (-3, -1), (2, 3), and (5, 2)
The formula for the lengths, l, of the sides of the triangle, given their end points coordinates is presented as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
The lengths of the segments that make up the triangle are therefore;
Between the vertex points (-3, -1) and (2, 3), we have, √((-3 - 2)² + (-1 - 3)²) = √41
Between the vertex points (-3, -1) and (5, 2), we have, √((-3 - 5)² + (-1 - 2)²) = √73
Between the vertex points (2, 3) and (5, 2), we have, √((2 - 5)² + (3 - 2)²) = √10
Therefore;
The perimeter of the triangle = The sum of the lengths of the sides of the triangle = √41 + √73 + √10
The perimeter of the triangle = √41 + √73 + √10 ≈ 18.1094
∴ The perimeter of the triangle ≈ 18, after rounding to the nearest whole number.
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard. Write an equation that represents the total yards of fabric.
Answer:
Answer:
Silk = x = 1.5 yards
Cotton = y = 2.75 yards
Step-by-step explanation:
x + y = 4.25
16.90x + 4y = 36.35
1. The solution to the equation represent number of yards of silk and number of yards of cotton bought.
2.
x + y = 4.25 (1)
16.90x + 4y = 36.35 (2)
Multiply (1) by 4
4x + 4y = 17 (3)
16.90x + 4y = 36.35 (2)
Subtract (3) from (2)
16.90x - 4x = 36.35 - 17
12.90x = 19.35
Divide both sides by 12.90
x = 19.35 / 12.90
= 1.5
x = 1.5 yards
Substitute x = 1.5 yards into (1)
x + y = 4.25
1.5 + y = 4.25
y = 4.25 - 1.5
= 2.75
y = 2.75 yards
Silk = x = 1.5 yards
Cotton = y = 2.75 yards
Step-by-step explanation:
pls answer I mark brainliest
A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag? (Consider using a double number line, tape diagram, or ratio table)
Answer:
there are 101 black marbles
Step-by-step explanation:
Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?
The correct expression is StartFraction n cubed Over 16 EndFraction minus 2 + 8.
The correct expression is 2 minus StartFraction n cubed Over 16 EndFraction + 8.
One of the steps to determining the value when n = 4 is 1 minus 2 + 8.
One of the steps to determining the value when n = 4 is 2 minus 1 + 8.
The value when n = 4 is 6.
The value when n = 4 is 7.
The value when n = 4 is 9.
The value when n = 4 is 10.
Answer:
A and H are correct
Step-by-step explanation:
I took the quiz
The expression for the given statement is n³/16-2+8. Therefore, the options A and H are correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given statement is “two less than the quotient of a number cubed and sixteen, increased by eight”
"Two less than x" describes "x- 2"
"Quotient of x and y" describes x/y
"x increased by y" describes x+y
n³/16 is the quotient and 2 is subtracted and 8 is increased which means 8 is added.
So, the expression is n³/16-2+8
= n³/16 +6
When n=4, we get
4³/16 +6
= 4+6
= 10
Therefore, the options A and H are correct answer.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ3
WILL GIVE BRAINLIEST !!!! A fence borders a triangular shaped field. A scale drawing of the fence is shown. The scale of the drawing to the actual size of the field is 24mm: 5m
SELECT MUTIPLE CHOICE !
Answer:
12.5 m
17.5 m
20 m
Step-by-step explanation:
Scale of the drawing to the actual size of the field = 24 mm : 5 m
✍️Given an actual length of 96 mm, actual length would be x m.
Thus:
24 mm : 5 m = 96 mm : x m
[tex] \frac{24}{5} = \frac{96}{x} [/tex]
Cross multiply
[tex] 24x = 96*5 [/tex]
[tex] 24x = 480 [/tex]
Divide both sides by 24
[tex] x = \frac{480}{24} [/tex]
✅[tex] x = 20 m [/tex]
✍️Given an actual length of 84 mm, actual length would be x m.
Thus:
24 mm : 5 m = 84 mm : x m
[tex] \frac{24}{5} = \frac{84}{x} [/tex]
Cross multiply
[tex] 24x = 84*5 [/tex]
[tex] 24x = 420 [/tex]
Divide both sides by 24
[tex] x = \frac{420}{24} [/tex]
✅[tex] x = 17.5 m [/tex]
✍️Given an actual length of 60 mm, actual length would be x m.
Thus:
24 mm : 5 m = 60 mm : x m
[tex] \frac{24}{5} = \frac{60}{x} [/tex]
Cross multiply
[tex] 24x = 60*5 [/tex]
[tex] 24x = 300 [/tex]
Divide both sides by 24
[tex] x = \frac{300}{24} [/tex]
✅[tex] x = 12.5 m [/tex]
Convert the mixed numbers into improper fractions. Convert the improper fraction to mixed Numbers.
Answer:
13) 23/4 14) 13/2 15) 6 1/2 16) 2 7/12
Step-by-step explanation:
13) (4 x 5) + 3 = 23 -> 23/4
14) (2 x 6) + 1 = 13 -> 13/2
15) 13/2 = 6.5, then take the number on the left of the decimal so, 6, as your whole number. After that, multiply it by the denominator so 6 x 2 = 12, then subtract the 12 with the numerator given in the improper fraction so, 13-12 = 1. The answer you get (which is 1 in this case) will be your numerator in for the mixed fraction. -> 6 1/2
Note: the denominator always stays the same
16) 31/12 = 2.58... take the 2 as your whole number.
2(whole number) x 12(denominator) = 24
31 - 24 = 7
= 2 7/12