Answer: 1/2 cup
Step-by-step explanation:
If there are 3/4 cup milk needed for every 1 1/2 cup of flour that means for every 1/2 cup of flour you’ll need 1/4 cup of milk. So for a whole cup of flour you’ll need 2/4 cup of milk which is equivalent to 1/2
hi would like some help asap
Answer:
B. quadratic
Step-by-step explanation:
You want to know the kind of function that would best fit the points shown on the graph.
SlopeThe points on the graph demonstrate a slope that starts out positive and decreases through 0 to a slope with a negative value.
A linear function has a constant slope.
An exponential function has a continuously increasing or continuously decreasing slope.
A quadratic function has a slope that changes sign, matching the slope of the curve joining the given points.
The equation that best fits the given data will be quadratic.
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A soccer team ordered 5 small, 7 medium, and 4 large frozen yogurts. Write an expression, using grouping symbols, to model the total cost for the yogurts the team orders. Then simplify the expression to find the total cost?
The total cost spent by the soccer team is given by 5x + 7y + 4z
An equation shows the relationship between numbers and variables.
Let x represent the cost of small yogurts, y represent the cost of medium yogurt and z represent the cost of large yogurts.
Since the team ordered 5 small, 7 medium, and 4 large frozen yogurts. Hence:
Total cost = 5x + 7y + 4z
Let us assume that small yogurt cost $1, medium cost $1.5 and large cost $2. Hence:
Total cost = 5(1) + 7(1.5) + 4(2) = $23.5
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When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest thousands to estimate the answer
Answer:
6384 is the exact answer.
6000 is the answer rounded to the nearest thousand
Step-by-step explanation:
Answer:
6000
Step-by-step explanation:
532 X 12 = 6384 rounded would be 6000 miles a yr
PLEASE ANYONE!! If the area of a triangle is 32 yd^2 and the base is 6.4 yds long, find the height
Answer:
10yd
Step-by-step explanation:
area= 1/2bh
area=32yd²
b= 6.4, ¹/2b=3.2
therefore, 32= 3.2h
h= 32/3.2
= 10yd
Which of the following is not true?
O √16 +4√4+5
О 3п > 9
O √27+3 >
O 5-√24 1
Answer:
Hello there! I believe b or d
Please help 1. Find the rectangular coordinates of (7, 150°).
Answer:
Step-by-step explanation:
\(x=r cos \theta=7 cos150=7cos(180-30)=-7cos ~30=-\frac{7\sqrt{3} }{2} \\y=r~sin~\theta=7~sin ~150=7~sin~(180-30)=7~sin~30=\frac{7}{2} \\so ~coordinates ~are~(-\frac{7\sqrt{3}}{2} ,\frac{7}{2} )\\C\)
Find the exact value of (7\pi )/(6)) by using the unit circle.
To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.
To find the exact value of (7π/6) using the unit circle, follow these steps:
1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).
2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.
3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.
4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).
5. The exact value of (7π/6) is (√3/2, -1/2).
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What is the length of FH in the right triangle below?
Answer:
7
Step-by-step explanation:
apply the Pythagorean theorem
\(10 {}^{2} = ( \sqrt{51} ) {}^{2} + x {}^{2} \\ 100 = 51 + x {}^{2} \\ 100 - 51 = x {}^{2} \\ 49 = x {}^{2} \\ x = 7\)
at a picnic each person shakes hands with every other person once. if there are 10 handshakes in total how many people are at the picnic
Answer:
10 my fault
Step-by-step explanation:
please trust
What Is the equation of the line through (2, -1) and (0,5)?
A. y = 3x + 5
B. y=-3x + 5
c. y = 3x - 5
D. y=-3x - 5
Answer:
B
Step-by-step explanation:
To find the equation, we can use the point-slope form:
\(y-y_1=m(x-x_1)\)
Where m is the slope and (x₁, y₁) is a point.
First, we will need to find the slope. Since we have two points, we can use the slope formula:
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
Let (2, -1) be (x₁, y₁) and let (0, 5) be (x₂, y₂). Substitute and evaluate:
\(\displaystyle m=\frac{5-(-1)}{0-2}=6/-2=-3\)
Therefore, the slope m is -3.
Now, we can use the point-slope form. We also need a point. Let’s use (2, -1) for consistency. So, we will substitute -3 for m and (2, -1) for (x₁, y₁). This yields:
\(y-(-1)=-3(x-2)\)
We will now convert this to slope-intercept form. Simplify the left and distribute the right:
\(y+1=-3x+6\)
Subtract 1 from both sides. Therefore, our equation is:
\(y=-3x+5\)
Thus, our answer is B.
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Solve and graph the inequality
7n - 1 > 76
Answer:
n>11
Step-by-step explanation:
The solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.
To determine and graph the inequality 7n - 1 > 76;
First Add 1 to both sides of the inequality to isolate the variable term.
7n - 1 + 1 > 76 + 1
7n > 77
Divide both sides of the inequality by 7 to solve for n.
(7n) / 7 > 77 / 7
n > 11
Since n is greater than 11, the graph will be an open circle on 11, and an arrow extending to the right.
Therefore, the solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.
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What is the domain and range of the coordinates
shown below?
{(11, -3), (2,-2), (2.0), (6,2), (18,4)}
Find the value of 2a - 1/√a + 1/a where a = 4+2√3
Answer:
\( \frac{19 + 6 \sqrt{3} }{2} \)
Step-by-step explanation:
\(2a - \frac{1}{ \sqrt{a} } + \frac{1}{a} \: \: \: when \: \: a = 4 + 2 \sqrt{3} \)
\(2 \times (4 + 2 \sqrt{3} ) - \frac{1}{ \sqrt{4 + 2 \sqrt{3} } } + \frac{1}{4 + 2 \sqrt{3} } \)
Expand the brackets (multiply every term inside the bracket by the term on the outside) and make the denominator the same (4 + 2√3):
\( \frac{(8 + 4\sqrt{3} )\times(4 + 2 \sqrt{3} ) }{4 + 2 \sqrt{3} } - \frac{ \sqrt{4 + 2 \sqrt{3} } }{4 + 2 \sqrt{3} } + \frac{1}{4 + 2 \sqrt{3} } \)
\( \frac{32 + 16 \sqrt{3} + 16 \sqrt{3} + 24 - \sqrt{4 + 2 \sqrt{3} } + 1}{4 + 2 \sqrt{3} } \)
Collect like-terms:
\( \frac{57+ 32 \sqrt{3} - \sqrt{4 + 2 \sqrt{3} } }{4 + 2 \sqrt{3} } \)
\( \frac{57 + 32 \sqrt{3} - \sqrt{( {1 + \sqrt{3}) }^{2} } }{4 + 2 \sqrt{3} } \)
\( \frac{57 + 32 \sqrt{3} - (1 + \sqrt{3} )}{4 + 2 \sqrt{3} } \)
Eliminate the parentheses:
\( \frac{57 + 32 \sqrt{3} - 1 - \sqrt{3} }{4 + 2 \sqrt{3} } \)
Collect like terms:
\( \frac{56 + 31 \sqrt{3} }{4 + 2 \sqrt{3} } \)
\( \frac{56 + 31 \sqrt{3} }{4 + 2 \sqrt{3} } \times \frac{4 - 2 \sqrt{3} }{4 - 2 \sqrt{3} } = \frac{224 - 112 \sqrt{3} + 124 \sqrt{3} - 186}{16 - 4 \times 3} = \frac{38 + 12 \sqrt{3} }{4} \)
\( \frac{2(19 + 6 \sqrt{3}) }{4} = \frac{19 + 6 \sqrt{3} }{2} \)
The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
The equation to show the perimeter of the rectangle is P = 2(2w + 5)
Writing an equation to show the perimeter of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Length = 5 more than the width
Also, we have
Perimeter = 58
This means that
P = 2(w + 5 + w)
P = 2(2w + 5)
Calculating the dimensions and the areaIn (a), we have
P = 2(2w + 5)
This gives
2(2w + 5) = 58
So, we have
2w + 5 = 29
2w = 24
w = 12
Next, we have
l = 12 + 5
l = 17
Lastly, we have
Area = 17 * 12
Area = 204
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12.34690 rounded to the nearest hundreds place
Answer:
if its rounded to the nearest hundreds the answer iz 12.347
2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000
Answer:
Step-by-step explanation:
Sales Revenue: $800.00
Cost of good sold: $350,000.00
Subtract: $450,000.00
Sales Revenue: $795,000.00
Cost of good sold: $600,000.00
Subtract Sales $195,000.00
Revenue from Cost
of goods sold.
Use the Binomial Theorem to find the coefficient of x^3y^2z^5 in (x + y + z)^10.
Answer:
The coefficient is 2520
Step-by-step explanation:
Given
\((x + y + z)^{10\)
Required
The coefficient of \(x^3y^2z^5\)
To do this, we make use of:
\(k = \frac{n!}{n_1!n_2!....n_m!}\)
Where
\(k \to\) coefficient
\(n = 10\) the exponent of the given expression
\(n_1=3\) -- exponent of x
\(n_2=2\) --- exponent of y
\(n_3=5\) --- exponent of z
So, we have:
\(k = \frac{n!}{n_1!n_2!....n_m!}\)
\(k = \frac{10!}{3!2!5!}\)
Expand
\(k = \frac{10*9*8*7*6*5!}{3!2!5!}\)
\(k = \frac{10*9*8*7*6}{3!2!}\)
\(k = \frac{30240}{3!2!}\)
Expand the denominator
\(k = \frac{30240}{3*2*1*2*1}\)
\(k = \frac{30240}{12}\)
\(k = 2520\)
Solve the following system of2x + 6y = 14x – 6y= -20
We are given the following system of equations:
\(\begin{gathered} 2x+6y=14,(1) \\ x-6y=-20,(2) \end{gathered}\)To solve the system we will use the method of elimination. We will add equations (1) and (2) so that the variable "y" gets canceled out, like this:
\(2x+6y+x-6y=14-20\)Adding like terms:
\(3x=-6\)Now, we divide both sides by 3:
\(x=-\frac{6}{3}=-2\)Therefore, the value of "x" is -2. Now, we determine the value of "y" by substituting the value if "x" in equation (1):
\(-2-6y=-20\)Now, we add 2 to both sides:
\(\begin{gathered} -6y=-20+2 \\ -6y=18 \end{gathered}\)Now, we divide both sides by -6:
\(y=\frac{18}{-6}=-3\)Therefore, the solution of the system is:
\(\begin{gathered} x=-2 \\ y=-3 \end{gathered}\)Name an acute angle and give its measure.
Angle: ______ Measure: _____
Name an obtuse angle and give its measure. (2 points)
Angle: _____ Measure: _____
Name one right angle. (1 point
Name one straight angle. (1 point)
11. Angle KEF = 40°, Angle KEJ = 50°
12. Angle HEF = 115°, Angle KED = 140°
13. Angle JEF = 90°, Angle KEF = 90°
14. Angle DEF = 180°
Define the term geometry?The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.
11. Acute angles: Those angles are less than 90 degree angles.
Angle KEF = 40°
Angle KEJ = 50°
Angle KEH = 75°
Angle JEH = 25°
Angle HED = 65°
12. Obtuse angles: Those angles are more than 90 degree angles.
Angle HEF = 115°
Angle KED = 140°
13. Right angle: Those angles are 90 degree angle.
Angle JEF = 90°
Angle KEF = 90°
14. Straight angle: Those angles make 180 degree angle.
Angle DEF = 180°
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Simplify: -2(9 – x) + 4(x – 3)
Answer:
6x - 30
Step-by-step explanation:
Distribute:
=(−2)(9)+(−2)(−x)+(4)(x)+(4)(−3)
=−18+2x+4x+−12
Combine Like Terms:
=−18+2x+4x+−12
=(2x+4x)+(−18+−12)
=6x+−30
Which is the radian measure for 30° and its associated coordinate point on the unit circle?
7 pie/6
Pie over 6
Answer:
57
Step-by-step explanation:
this is the boybfiend
1. A chess set has 32 pieces, 16 black and 16 white. In each color, there
are 8 pawns, 2 rooks, 2 Knights, 2 bishops, 1 queen and 1 king.
a. Find the probability that a piece selected at random is a white rook.
Explain how you found your answer.
b. How many ways can you choose one white piece and one black
piece? Explain how you found your answer.
c. How many ways can you choose 3 pieces from the 4 kings and
queens (black king, white king, black queen, white queen) to place
on 3 specific spaces on the chessboard? Is this a permutation or a
combination? Explain.
I REALLY NEED HELP WITH THESE AND FAST.
Answer:
I believe the answer is A.
Step-by-step explanation:
I don't really know how to really explain it tho
a. The probability that a piece selected at random is a white rook is 1/16.
b. 256 ways can you choose one white piece and one black piece.
c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
Given that, a chess set has 32 pieces, 16 black and 16 white. In each colour, there are 8 pawns, 2 rooks, 2 knights, 2 bishops, 1 queen and 1 king.
What is the formula to find the probability of an event?The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.
a. The probability that a piece selected at random is a white rook
=2/32=1/16
Therefore, the probability that a piece selected at random is a white rook is 1/16.
b. Number of ways can you choose one white piece and one black
piece=16×16=256
Each white piece can go with a black piece 16 times and the same the other way.
Hence, 256 ways can you choose one white piece and one black piece.
c. nPr=P(4,3)=4!/3=24/3=8 ways.
Hence, 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
This is a permutation.
a. The probability that a piece selected at random is a white rook is 1/16.
b. 256 ways can you choose one white piece and one black piece.
c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
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plaz answer this i beg you
Answer:
I'm not exactly sure, but I'm positive that it's 60 degrees.
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
90 = 30 + (4x)
60 = 4x
x = 60/4 = 15
30° and (4x)° must add up to 90° because they are complementary angles
PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80
The sun of a number and 5 is greater than 23
Answer: x + 5 > 23
x is at least 19
Step-by-step explanation:
Write a linear equation that passes throughthe point (2, -9) and has a slope of -5 in slope-intercept form. Help pls
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
Prove that If A1, A2, ... , An and B1, B2,...,Bn are sets such that Aj ⊆ Bj for j = 1, 2, 3, ... , n, then ∪j=1nAj ⊆ ∪j=1nBj .
Answer:
This is proved using Proof by induction method. There are two steps in this method
Let P(n) represent the given statement ∪ \({ {{n} \atop {j=1}} \right.\) \(A_{j}\) ⊆ ∪ \({ {{n} \atop {j=1}} \right.\) \(B_{j}\)
1. Basis Step: This step proves the given statement for n = 1
2. Induction step: The step proves that if the given statement holds for any given case n = k then it should also be true for n = k + 1.
If the above two steps are true this means that given statement P(n) holds true for all positive n and the mathematical induction P(n): ∪ \({ {{n} \atop {j=1}} \right.\) \(A_{j}\) ⊆ ∪ \({ {{n} \atop {j=1}} \right.\) \(B_{j}\) is true.
Step-by-step explanation:
Basis Step:
For n = 1
∪\({ {{n} \atop {j=1}} \right.\) \(A_{j}\) = ∪\({ {{1} \atop {j=1}} \right.\) \(A_{j}\) = A₁ ⊆ B₁ = ∪\({ {{1} \atop {j=1}} \right.\) \(B_{j}\) = ∪\({ {{n} \atop {j=1}} \right.\) \(B_{j}\)
We show that
∪\({ {{1} \atop {j=1}} \right.\) \(A_{j}\) = A₁ ⊆ B₁ = ∪\({ {{1} \atop {j=1}} \right.\) \(B_{j}\) for n = 1
Hence P(1) is true
Induction Step:
Let P(k) be true which means that we assume that:
for all k with k≥1, P(k): ∪\({ {{k} \atop {j=1}} \right.\) \(A_{j}\) ⊆ ∪\({ {{k} \atop {j=1}} \right.\) \(B_{j}\) is true
This is our induction hypothesis and we have to prove that P(k + 1) is also true
This means if ∪ \({ {{n} \atop {j=1}} \right.\) \(A_{j}\) ⊆ ∪ \({ {{n} \atop {j=1}} \right.\) \(B_{j}\) holds for n = k then this should also hold for n = k + 1.
In simple words if P(k): ∪\({ {{k} \atop {j=1}} \right.\) \(A_{j}\) ⊆ ∪\({ {{k} \atop {j=1}} \right.\) \(B_{j}\) is true then ∪\({ {{k+1} \atop {j=1}} \right.\) \(A_{j}\) ⊆ ∪\({ {{k+1} \atop {j=1}} \right.\) \(B_{j}\) is also true
∪\({ {{k+1} \atop {j=1}} \right.\) \(A_{j}\) = ∪\({ {{k} \atop {j=1}} \right.\) \(A_{j}\) ∪ \(A_{k+1}\)
⊆ ∪\({ {{k} \atop {j=1}} \right.\) \(B_{j}\) ∪ \(A_{k+1}\) As ∪\({ {{k} \atop {j=1}} \right.\) \(A_{j}\) ⊆ ∪\({ {{k} \atop {j=1}} \right.\) \(B_{j}\)
⊆ ∪\({ {{k} \atop {j=1}} \right.\) \(B_{j}\) ∪ \(B_{k+1}\) As \(A_{k+1}\) ⊆ \(B_{k+1}\)
= ∪\({ {{k+1} \atop {j=1}} \right.\) \(B_{j}\)
The whole step:
∪\({ {{k+1} \atop {j=1}} \right.\) \(A_{j}\) = ∪\({ {{k} \atop {j=1}} \right.\) \(A_{j}\) ∪ \(A_{k+1}\) ⊆ ∪\({ {{k} \atop {j=1}} \right.\) \(B_{j}\) ∪ \(A_{k+1}\) ⊆ ∪\({ {{k} \atop {j=1}} \right.\) \(B_{j}\) ∪ \(B_{k+1}\) = ∪\({ {{k+1} \atop {j=1}} \right.\) \(B_{j}\)
shows that the P(k+1) also holds for ∪ \({ {{n} \atop {j=1}} \right.\) \(A_{j}\) ⊆ ∪ \({ {{n} \atop {j=1}} \right.\) \(B_{j}\)
hence P(k+1) is true
So proof by induction method proves that P(n) is true. This means
P(n): ∪ \({ {{n} \atop {j=1}} \right.\) \(A_{j}\) ⊆ ∪ \({ {{n} \atop {j=1}} \right.\) \(B_{j}\) is true
Congratulations. You received a score of 3.4 on your annual review. Merit increases are given out starting at .5% at a score of 2.6 and it goes up 1% every .4 points. So, I will be receiving an increase of what?
To calculate the merit increase based on your annual review score, we can use the given information that merit increases start at 0.5% for a score of 2.6 and increase by 1% every 0.4 points.
First, we need to determine the difference between your score and the starting score of 2.6:
3.4 - 2.6 = 0.8
Next, we divide this difference by 0.4 to determine the number of 0.4-point intervals:
0.8 / 0.4 = 2
Since each 0.4-point interval corresponds to a 1% increase, we multiply the number of intervals by 1% to find the total increase:
2 * 1% = 2%
Therefore, you will be receiving a merit increase of 2%.