Answer:
90 / 6 = 15
You need 15 times more of the recipe
1 x 15 = 15 packets in total
15 - 0.2 = 14.8 packets needed
Hope this helps
Step-by-step explanation:
A car travels 3 hours at 50mph; then travels 40mph for 7 hours. How many miles does it travel during the 10 hours?
Answer: 430 miles
Step-by-step explanation:
Distance = speed x time
1) D = 50 x 3 = 150
2) D = 40 x 7 = 280
Total distance travelled = 150+280 = 430
Which system of inequalities has a solution set that is a line?
[x+y23
[x+y s3
[x+y2-3
Extysa
0
[x+y>3
(x + y <3
(x+y> -3
(x+y<3
Answer:
x + y ≥ 3
x + y ≤ 3
Step-by-step explanation:
In the picture attached, the problem is shown.
The solution to the system:
x + y ≥ 3
x + y ≤ 3
is the line x + y = 3
In order to get a solution to a system of inequalities that is a line, we need the same equation on the left (here, x + y), the same constant on the right (here, 3), and the ≥ sign in one inequality and the sign ≤ in the other one.
A bridge constructed over a bayou has a supporting arch in the shape of an inverted parabola. Find the equation of the parabolic arch if the length of the road over the arch is 100 meters and the maximum height of the arch is 40 meters.
Answer:
y = (-2/125)(x - 50)² + 40
Step-by-step explanation:
The total length of the bridge is 100 meters.
Maximum height always occurs at midpoint of x.
So for x=50 meters , y = 40 meters.
As the vertex is given at the maximum height, Vertex can be defined at the point (50,40)
We know that the general equation for vertical parabola is:
y = a(x - h)² + k
Where (h,k) = Vertex = (50,40)
Substitute in the equation:
y = a(x - 50)² + 40 ⇒ Equation (i)
We know 2 more points on the parabola. We know that when x=0 , y=0 and we also know that when x=100m, y=0 meters.
Substitute any point in the above equation
Substituting (100,0) in the equation
0 = a(100 - 50)² +40
Solve the equation for a:
a = - 2/125
Substitute a in Equation (i)
y = (-2/125)(x - 50)² + 40
Which number completes the inequality? 1.01 less-than blank less-than 1.17, less-than 1.20 1.008 1.08 1.18 1.8
Answer:
1.08
Step-by-step explanation:
1.01 < x < 1.17
x ≠ 1.20
x ≠ 1.008
x = 1.08
x ≠ 1.18
x ≠ 1.8
The number that completes the inequality is 1.08:
1.01 < 1.08 < 1.17, < 1.20
Option C is the correct answer.
We have,
To determine which number completes the inequality, we need to find the number that is greater than 1.01 but less than both 1.17 and 1.20.
Among the given options, the number that satisfies this condition is 1.08.
Thus,
The number that completes the inequality is 1.08:
1.01 < 1.08 < 1.17, < 1.20
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81. What is the next number? 1, 1/2, 1/4, 1/8,
Answer:
1/16
Step-by-step explanation:
multiply by 1/2
1, 1/2, 1/4 , 1/8, 1/16
Answer:
1/16
Step-by-step explanation:
If you see the pattern it goes by x2 (the denominator)
1 , 1/2, 1/4, 1/8, 1/16
Share £10 in the ratio of 2:3 ASAPP!!!!!!!!!!!!
Answer:
£4 and £6
Step-by-step explanation:
Total = £10
Ratio = 2:3
Total Parts = 2+3 = 5
Divide it by the Total
=> 10/5 = £2
Multiply it by the ratios
1) 2 * 2 = £4
2) 3 *2 = £6
Answer:
4:6
Step-by-step explanation:
2+3=5
10/5=2
3x2= 6
2x2=4
4:6
Find the vertex of the given function. f(x) = |x + 1| - 7 The vertex is at (, )
Answer: The vertex of the function is (-1, -7).
Step-by-step explanation: We are given to find the vertex of the following function.
We know that the vertex of the function is given by (h, k).
So, for the given function f(x), the vertex will be (-1, -7).
The graph of the function f(x) is shown in the attached figure, where the vertex is at the point (-1, -7).
Thus, the vertex of the function is (-1, -7).
The vertex of the function f(x) = |x + 1| - 7 is (-1,-7)
How to determine the vertex?The function is given as:
f(x) = |x + 1| - 7
The above function is an absolute value function
An absolute value function is represented as:
f(x) = a|x – h| + k
Where, the vertex is (h,k)
So, we have:
(h,k) = (-1,-7)
Hence, the vertex of the function f(x) = |x + 1| - 7 is (-1,-7)
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Formulate the recursive formula for the following geometric sequence. {-16, 4, -1,...}
Answer:
Step-by-step explanation:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
[tex]a_{n}=a_{n-1}*r\\a_{n}=a_{n-1}*\frac{-1}{4}\\\\a_{n}=\frac{-1}{4}a_{n-1}[/tex]
Answer:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
Step-by-step explanation:
Problem 1 Given: HJ=4x+9, JK=3x+3, and KH=33 Find: x, HJ, and JK x= Answer HJ= Answer JK= Answer
Answer:
Step-by-step explanation:
Determine the vertical asymptote for the rational function f(x) = x-4 over 3x +2
Answer: (b) x = -2/3
Step-by-step explanation:
The vertical asymptote is the restriction on x.
The denominator cannot be equal to zero so that it the restriction.
Set the denominator equal to zero and solve for x to find the asymptote.
3x + 2 = 0
3x = -2
x = -2/3
(99^2-98^2)/197+(98^2-97^2)/195+(97^2-96^2)/193+ ... +(2^2-1^2)/3
plz help
Answer:
99
Step-by-step explanation:
(99^2-98^2)/197+(98^2-97^2)/195+(97^2-96^2)/193+ ... +(2^2-1^2)/3
each term can be written as:
(a²- b²)/(a+b)= (a+b)(a-b)/(a+b)= a-bso the sum will look as:
99 -98+ 98- 97 + 97- 96 + ... +2- 1= 99-1= 98(all middle terms get cancelled leaving only 99 and -1 in the equation)
At a company picnic, 1/2 of the people are employees. 2/5 are employees' spouses. What percent are neither?
Answer:
10% of the people at the picnic are neither.
Step-by-step explanation:
To get the answer,
1/2 + 2/5 = 9/10
10/10 - 9/10 = 1/10
1/10 = 10%
Thanks, I hope I got this right!
A bag contains 5 red marbles, 6 green marbles, and 3 blue marbles. If Cymra draws a marble, keeps it and then draws another marble, what is the probability that both marbles she draws will be red? 5/14×5/14 5/14 ×4/13 5/14×4/14 4/14×5/14
Answer:
Probability is the chance of occurrence of an event. The probability that both marbles are drawn by the Cymra are red
Step-by-step explanation:
2. Which of the following methods can't be used to find the zeros of a function?
options:
A. Substitute x = 0 in the function and solve for f(x).
B. Graph the function using a table of values.
C. Factor the function and apply the zero-product property to its factors.
D. Apply the quadratic formula.
Answer:
The correct option is;
Substitute x = 0 in the function and solve for f(x)
Step-by-step explanation:
The zeros of a function are the values of x which produces the value of 0 when substituted in the function
It is the point where the curve or line of the function crosses the x-axis
A. Substituting x = 0 will only give the point where the curve or line of the function crosses the y-axis,
Therefore, substituting x = 0 in the function can't be used to find the zero's of a function
B. Plotting a graph of the table of values of the function will indicate the zeros of the function or the point where the function crosses the x-axis
C. The zero product property when applied to the factors of the function equated to zero can be used to find the zeros of a function
d, The quadratic formula can be used to find the zeros of a function when the function is written in the form a·x² + b·x + c = 0
Answer: Substitute x = 0 in the function and solve for f(x).
Step-by-step explanation:
Find the value of y.
Answer:
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Step-by-step explanation:
We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.
You can get that by finding the smaller value of the larger triangle.
[tex]\frac{8}{\sqrt{3} } =\frac{x}{1}[/tex]
x[tex]\sqrt{3}[/tex] = 8
x = [tex]\frac{8}{\sqrt{3} }[/tex]
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
That is the hypotenuse of the smaller triangle. To find y...
[tex]\frac{(\frac{8\sqrt{3} }{3}) }{2} =\frac{y}{1}[/tex]
2y = [tex]\frac{8\sqrt{3} }{3}[/tex]
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Hope this helps!
I WILL GIVE BRAINLIEST!!! Part A: The Sun produces 3.9 ⋅ 10^33 ergs of radiant energy per second. How many ergs of radiant energy does the Sun produce in 1.55 ⋅ 10^7 seconds? Express your answer in scientific notation and show your work. (5 points) Part B: Which is the more reasonable measurement of the distance between the tracks on a CD: 1.6 ⋅ 10−3 mm or 1.6 ⋅ 103 mm? Justify your answer. (5 points)
Answer:
Part A: This can be solved using cancellation of units: Energy produced (ergs) = (3.9 x 10^ 33 ergs/ sec)( 1.55 x 10^7 sec) = 6.045 x 10^40 ergs Part B: The grooves within a CD is very small, therefore it would be more reasonable to have a value of 1.6 x 10^-3 mm
Hope this helped you!
Step-by-step explanation:
3. The perimeter of a rectangle is 98 feet. Find its dimensions assuming that its length is 2 feet less than twice its width.
The width is
(Simplify your answers.)
and length is
Answer:
w = 17 fts
l = 32 fts
Step-by-step explanation:
P = 2w + 2l
l = 2w - 2
98 = 2w + 2(2w - 2)
98 = 2w + 4w - 4
98 + 4 = 6w
6w = 102
w = 17 fts
l = 2×17 - 2 = 34 - 2 = 32 fts
(a) The perimeter of a rectangular parking lot is 332 m.
If the width of the parking lot is 75 m, what is its length?
Length of the parking lot:
m
Answer:
Step-by-step explanation:
Perimeter of the rectangle = 332m
Perimeter of a rectangle = 2(L+b)
Breadth = 75m
= 2 ( L + 75) = 332
2L + 150 = 332
2L = 332-150
L = 182/2
L= 91m
20 POINTS AND BRAINLIEST!!! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.
Answer:
5
Step-by-step explanation:
The number of cells in a tile is 4, so the board dimension cannot be odd, but must be a multiple of 2 in order to have the number of cells divisible by 4.
If the tiles are colored in an alternating pattern, tiles must have 3 of one color and 1 of the alternate color. Hence the total number of tiles used to cover a board must be even (so the numbers of each color match). Then the board dimension must be divisible by 4.
In the given range, there are 5 such boards:
4×4, 8×8, 12×12, 16×16, and 20×20
What is the value of the discriminant for the quadratic equation 0 = x + 2 + x2? Discriminant = b2 – 4ac –9 –7 7 9
Answer:
-7
Step-by-step explanation:
[tex]x^2+x+2=0 \\\\b^2-4ac= \\\\1^2-4(1)(2)= \\\\1-8= \\\\-7[/tex]
Hope this helps!
The value of the discriminant for the quadratic equation 0 = x + 2 + x² is -7.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given quadratic equation is,
x² + x + 2 = 0
The discriminant of a quadratic equation of the form ax² + bx + c = 0 is,
Discriminant = b² - 4ac
Here, a = 1, b = 1 and c = 2
Substituting,
Discriminant = 1² - (4 × 1 × 2)
= 1 - 8
= -7
Hence the discriminant of the given equation is -7.
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ΔABC has been translated right to create triangle ΔXYZ. Based on this information, which of the following is a true statement? answers: A) ≅ B) ≅ C) ∠A ≅ ∠C D) ∠B ≅ ∠X
Answer:
None. (or B)
Step-by-step explanation:
A) AC≅ZY
B) AZ≅
C) ∠A ≅ ∠C
D) ∠B ≅ ∠X
Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.
The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
What is translation transformation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Given that, Δ ABC has been translated right to create triangle Δ XYZ
We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.
That means Δ ABC ≅ Δ XYZ Therefore, we get,
Congruent parts are;
Angles:-
∠ A ≅ ∠ X,
∠ B ≅ ∠ Y and
∠ C ≅ ∠ Z
Side:-
AB ≅ XY,
BC ≅ YZ and
AC ≅ XZ
Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
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PLEASE HELP!!!!!!! i will give brainliest
Yes they are independent because P(California) = 0.55 approximately and P(California | Brand B) = 0.55 approximately as well
===================================================
Explanation:
P(California) is notation that means "probability the person is from California". There are 150 people from California out of 275 total. Therefore, the probability is 150/275 = 0.5454 approximately which rounds to 0.55
Now if I told you "this person prefers brand B", then you would focus your attention solely on the brand B column. The other columns are ignored because you know they don't prefer anything else. With this narrower view, we see that 54 Californians prefer this brand out of 99 total. The probability becomes 54/99 = 0.5454 which rounds to 0.55. We get the same as before.
The notation P(California | Brand B) means "the probability they are from California given they prefer brand B". The vertical line is not the uppercase letter i or lowercase letter L. It is simply a vertical line. In probability notation that vertical line means "given".
We've shown that P(California | Brand B) = 0.55 approximately. The fact that they prefer brand B does not change the original probability. So the two events are independent. If liking brand B did change the probability, then the events would be dependent.
3.
Reasons
Statements
MNOP is a parallelogram
PM || ON
N
M
Alternate Int. Zs Thm.
Given:
MNOP is a parallelogram
MN || PO
Alternate Int. Zs Thm.
Prove:
PM ON
(For this proof, use only the
definition of a parallelogram;
don't use any properties)
Answer:
[tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles ΔOMN and ΔOMP are congruent (CPCTC)
Step-by-step explanation:
1) MNOP is a parallelogram: Reason; Given
2) [tex]\overline{PM}\left | \right |\overline{ON}[/tex]: Reason; Definition of a parallelogram
3) ∠MON ≅ ∠PMO: Reason; Alternate Int. ∠s Thm.
4) [tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Definition of a parallelogram
5) ∠NMO ≅ ∠POM: Reason; Alternate Int. ∠s Thm.
6) [tex]\overline{OM}\cong\overline{OM}[/tex]: Reason; Reflexive property
7) ΔOMN ≅ ΔOMP: Reason; Angle Angle Side (AAS) congruency theorem
8) [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles are congruent (CPCTC).
Also we have;
9) [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Segment opposite congruent angles are congruent
Brainliest for whoever gets this correct with working out
Answer:
[tex] \frac{2x - 5}{x + 5} [/tex]
Step-by-step explanation:
Firstly, you have to factorize the expressions on the numerator and denorminator :
Numerator :
[tex]2 {x}^{2} - 3x - 5[/tex]
[tex] = 2 {x}^{2} + 2x - 5x - 5[/tex]
[tex] = 2x(x + 1) - 5(x + 1)[/tex]
[tex] = (2x - 5)(x + 1)[/tex]
Denorminator :
[tex] {x}^{2} + 6x + 5[/tex]
[tex] = {x}^{2} + x + 5x + 5[/tex]
[tex] = x(x + 1) + 5(x + 1)[/tex]
[tex] = (x + 1)(x + 5)[/tex]
Next, you have to put the factorized-form in the fraction and cut out the similar expressions :
[tex] \frac{(2x - 5)(x + 1)}{(x + 1)(x + 5)} [/tex]
[tex] = \frac{2x - 5}{x + 5} [/tex]
A bird species in danger of extinction has a population that is decreasing exponentially (A = A0e^kt). Five years ago, the population was at 1400 and today only 1000 of the birds are alive. Once the population drops below 100, the situation will be irreversible. When will this happen?
Answer:
It'll take approximately 34 years from today.
Step-by-step explanation:
in order to solve this problem we first need to find the rate of change, "k", to do that we will use the given information where the population was 1400 five years ago and its now 1000. Applying this data to the equation gives us:
[tex]A = A_0*e^{k*t}\\1000 = 1400*e^{5*k}\\1400*e^{5*k} = 1000\\e^{5*k} = \frac{1000}{1400}\\ln(e^{5*k}) = ln(\frac{1000}{1400})\\5*k = ln(1000) - ln(1400) \\k = \frac{ln(1000) - ln(1400)}{5} = -0.06729[/tex]
We now know the value for "k", we can estimate how many years it will take for the bird population to dip below 100. We have:
[tex]100 = 1000*e^{-0.06729*t}\\e^{-0.06729*t} = \frac{100}{1000}\\ln(e^{-0.06729*t} = \frac{1}{10}\\-0.06729*t = ln(0.1)\\t = -\frac{ln(0.1)}{0.06729} = 34.22[/tex]
It'll take approximately 34 years from today.
Marco has a sandbox that is 3 feet long, 5 feet wide, and
foot deep. How many cubic feet of sand does he need to fill the
sandbox completely?
Answer:
Choice D
Step-by-step explanation:
[tex]3\dfrac{1}{2}\cdot 5 \cdot \dfrac{1}{2}= 3.5\cdot 5\cdot 0.5=8.75 = 8\dfrac{3}{4}[/tex]
Hope this helps!
Cubic feet would be volume.
Volume = length x width x height
Volume = 3 1/2 x 5 x 1/2 = 8 3/4 cubic feet.
Pete, Chris, and Dina realized that the number of A’s they each received on their report cards were in a ratio of 4:2:5. If Pete got 14 more A’s than Chris, how many A’s did Dina get?
Answer:
[tex]Dina= 35[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 4:2:5[/tex]
Peter = 14 more A's than Chris
Required
How many A’s did Dina get?
The order of the ratio is Peter: Chris: Dina
This implies that
[tex]Peter: Chris: Dina = 4:2:5[/tex]
Considering Peter and Chris
[tex]Peter: Chris = 4:2[/tex]
Let the number of Chris' A's be represented by A
This implies that:
Peter's = 14 + A
And as such;
[tex]14 + A : A = 4 : 2[/tex]
Convert ratio to division
[tex]\frac{14 + A}{ A} = \frac{4}{ 2}[/tex]
Multiply both sides by A
[tex]A * \frac{14 + A}{ A} = \frac{4}{ 2}* A[/tex]
[tex]14 + A = \frac{4}{ 2}* A[/tex]
[tex]14 + A = 2* A[/tex]
[tex]14 + A = 2 A[/tex]
Subtract A from both sides
[tex]14 + A-A = 2 A-A[/tex]
[tex]14 = A[/tex]
This means that;
Chris answered 14 while Pete answered 28 (14 + 14)
Considering Chris and Dana
[tex]Chris :Dana = 2:5[/tex]
Replace Chris with 14
[tex]14:Dana = 2:5[/tex]
Convert ratio to division
[tex]\frac{14}{ Dina} = \frac{2}{5}[/tex]
Cross Multiplication
[tex]Dina * 2 = 14 * 5[/tex]
Divide both sides by 2
[tex]\frac{Dina * 2}{2} = \frac{14 * 5}{2}[/tex]
[tex]Dina= \frac{14 * 5}{2}[/tex]
[tex]Dina= \frac{70}{2}[/tex]
[tex]Dina= 35[/tex]
Hence, Dina had 35 A's
A large jar contains 25% blue marbles. A sample contains 9 blue marbles, 15 red marbles, and 16 green marbles.
What is pˆ, the sample proportion of blue marbles?
Enter your answer, as a simplified fraction, in the box.
Answer:
Proportion of blue marbles in in sample = 9/40
Step-by-step explanation:
Total number of blue marbles in a jar is given by 25%
Lets find the probability of blue marble in the jar of the given sample:
Proportion of blue marbles in in sample = Total number of blue marbles in sample/ Total number of marbles in sample
Where
Total number of blue marbles in sample = 9
Total number of marbles in sample = 9 + 15 + 16
Total number of marbles in sample = 40
SO
Proportion of blue marbles in in sample = 9/40
or
Proportion of blue marbles in in sample = 9/40
Use the interactive to graph a line with the given points: (–1,7) and (1,–1) The coordinates of the y-intercept of the line are.
Answer:
The y-intercept would be 6.25
Step-by-step explanation:
I found this by taking the two points and making it into a y = mx + b line.
Answer:
(0,3)
Step-by-step explanation:
We can use the slope-intercept form to find the y-intercept.
First, we need to find the slope of the line.
We are given the points (-1,7) and (1,-1).
[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]
The slope is -4.
Slope-intercept is [tex]y=mx+b[/tex].
We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.
I will use (-1,7):
[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]
The line's equation is [tex]y=-4x+3[/tex].
Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).
Pls help summer homework :D C:
Answer:
C) None of the above
Step-by-step explanation:
Reason is V is a shorter distance and q is longer they need to be subtraction but the other way round to enable the correct subtraction we can show (q-V) which means the longer distance minus the shorter distance.