The negative of the expression -2y+13 is 2y-13.
Given Expression:-2y+13
We know that an expression is a combination of numbers, variables, symbols, indeterminants, etc. It is not expressed in equal to form. It expresses a relationship but we cannot find the value of variable because it is usually not present in equal to form.
We have to find the negative of the expression -2y+13 and to find out that we need to just put a negative mark in front of the expression and then adjust the expression for finding the negative of that expression.
Negative of -2y+13=-(-2y+13)
=2y-13.
Negative of an expression expresses opposite thing.
Hence the negative of -2y+13 is 2y-13.
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a cake shop sells cakes and cupcakes. a cake uses 5 cups of cake batter. a batch of cupcakes uses 4 cups of batter. the pastry chef has 40 cups of cake batter and wants to make at least 4 cakes. the profit on a cake is $35 and the profit for a batch of cupcakes is $30. How many cakes and batches of cupcakes should the pastry chef make in order to maximize profits? what is the maximum revenue?
Chef should prepare 4 cakes and 5 batches of pastry in order to achieve maximum profits and his maximum profit or revenue by solving through inequality is $260.
Given Chef uses 5 cups of cake batter for 1 cake and 4 cups of batter for 1 batch of cupcakes. Chef wants to make at least 4 cakes. Profit on 1 cake is $35 and $30 for 1 batch of cupcake.
let the number of cakes be x and the number of batches of cupcakes be y such that
5x+4y<=40--------1
x>=4---------------2
Maximize Profit=35x+30y
Inequalities contains different signs so we have to change one inequality.
5x+4y<=40
-x<=-4
Now assume them equalities
5x+4y=40-------3
-x=-4
multiply second equations by 5
-5x=-20-----------4
now add 3 and 4
5x+4y-5x=40-20
4y=20
y=5
now put the value of y in 5x+4y=40
5x+4*5=40
5x+20=40
5x=20
x=4.
Maximum Profit=35x+30y
=35*4+30*5
=$260
Hence chef should make 4 cakes and 5 batches of pastry and maximum profit of $260.
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Quadrilateral ABCD is a rectangle.
If BDC = 7x + 1 and ADB=9x - 7, find BDC.
[tex]\huge\boxed{45^\circ}[/tex]
See the attached diagram.
Together, angles BDC and ADB form a right angle, which is 90 degrees.
The angles are split straight down the middle, meaning they're equal to each other. This means each one is equal to half of 90 degrees, which is 45 degrees.
A jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. four marbles from this jar are selected, with each marble being replaced after each selection. what is the standard deviation of x, the number of draws until the first red marble?
0.4852
0.9704
2.0770
1.5172
The PMF of [tex]X[/tex] is almost geometric in nature. Let [tex]p=\frac{11}{29}[/tex]. Then
[tex]P(X = x) = \begin{cases} p & \text{if }x = 0 \\ (1-p)p & \text{if }x = 1 \\ (1-p)^2 p & \text{if }x = 2 \\ (1-p)^3p & \text{if }x = 3 \\ (1-p)^4 & \text{if }x = 4 \\ 0 & \text{otherwise}\end{cases}[/tex]
Compute the first moment/expected value.
[tex]E(X) = \displaystyle \sum_x x\, P(X=x) \\\\ ~~~~~~~~ = 0\cdot p+1\cdot(1-p)p + 2\cdot(1-p)^2p + 3\cdot(1-p)^3p + 4\cdot(1-p)^4 \approx 1.39349[/tex]
Compute the second moment.
[tex]E(X^2) = \displaystyle \sum_x x^2\, P(X=x) \\\\ ~~~~~~~~ = 0\cdot p+1\cdot(1-p)p + 4\cdot(1-p)^2p + 9\cdot(1-p)^3p + 16\cdot(1-p)^4 \approx 4.01103[/tex]
Compute the variance.
[tex]V(X) = E(X^2) - E(X)^2 \approx 2.06921[/tex]
The standard deviation is the square root of the variance.
[tex]\sqrt{V(X)} \approx \boxed{1.43848}[/tex]
3. Write an expression that would help you
solve the problem below.
Hunter cuts a 32 foot long piece of wood
into x pieces.
How long is each piece of wood?
Solve: How long is each piece of wood if
Hunter cuts the original piece into 8
pieces?
Answer:
How long is each piece of wood?
Expression = 32/x
Solve: How long is each piece of wood if
Hunter cuts the original piece into 8
pieces?
32/8 = 4 foot
Find the x 44in 55in
Answer:
33in
Step-by-step explanation:
Necesito ayuda en esto!!
1. f(x)= x²+3
2. f(x)= x²+1
3.f(x)= x²+4
4. f(x)= -x²-1
Por favor,ayúdenme
Answer:
they are no instructions so no answers either.
Step-by-step explanation:
am sorry I can't help you, the question might not have been complete. please do contact me when it's.
Identify the pair of points that can represent an increasing function that has a greater rate of change than that of the function y = 8/5x + 3/5
Answer:
Step-by-step explanation:
Pls heeeelp!!!!!!!!!!!!!!!
The area of a parallelogram is simply its base (6.1 miles) multiplied by its height (2.6 miles).
Substitute the values into the formula for area.
[tex]A=6.1\cdot2.6[/tex]
Multiply.
[tex]A=\boxed{15.86}[/tex]
Note that the answer is given in square miles ([tex]\text{mi}^2[/tex]) since both of the measurements used are in miles.
Select the correct answer.
Which equation represents the measure of the unknown angles?
The equation which represents the measure of the unknown angles is x + x + 10 =130. Hence, option C is correct.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the data given in the question,
As per the rules, the sum of the three sides of a triangle is 180°.
The angles are x, x+10, and 50.
Now,
x + x + 10 + 50 = 180
x + x + 10 = 180 - 50
x + x + 10 = 130°.
Therefore, the equation option above is the correct answer.
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A combination lock like the one shown has three dials. Each of the dials has numbers ranging from 0 to 4. How many different combinations are possible with the lock?
If combination requires 3 numbers ranging from 0 to 4 then number of combinations is 10.
Given A combination lock contains three numbers from 0 to 4.
Combinations refers to a technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Total numbers available to be selected are 5 from 0 to 4.
In this 0 is also included because it is also a number.
Numbers to be filled in the combination lock =3
So to calculate the combinations we need to use nCr formula in which n=5 and r=3.
Combinations=5C3
=5!/3!*(5-3)!
=5!/3!*2!
=5*4*3!/3!*2!
3! will be cancelled from numerator and denominator
=5*4/2
=10
Hence the number of possible combinations are 10.
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How do you solve the expression 1x + 4 ≤ 8?
1x + 4 ≤ 8
x + 4 ≤ 8
x ≤ 8 - 4
=x ≤ 4
An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic Step 1 of 2: Suppose a sample of 2676 new car buyers is drawn. Of those sampled, 642 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places. AnswerHow to Enter 2 Points Tables Keypad Keyboard Shortcuts An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2: Suppose a sample of 2676 new car buyers is drawn. Of those sampled, 642 preferred foreign over domestic cars. Using the data, construct the 98 % confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answers to three decimal places, Answer low to Enter) 2 Points T Tables Keypad Keyboard Shortcuts Lower endpoint Upper endpoint:
The proportion of people who preferred foreign cars than domestic cars is 0.24 and the confidence interval for the population proportion of new cars over domestic cars of 98% confidence interval is (641.955,642.045).
Given sample size of 2676 and number of people preferred foreign cars than domestic cars is 642.
We have to calculate the proportion of people who preferred foreign cars than domestic cars and the confidence interval which shows the confidence interval of 98%.
Number of people prefer foreign cars than domestic cars=642
Sample size=2676
Proportion=642/2676
=0.2399
=0.24 (After rounding off)
Now we will find confidence interval.
X=642
n=2676
z value for the confidence interval 98% is 2.33
Confidence interval =X± z*s/[tex]\sqrt{n}[/tex]
Upper =642+2.33*1/[tex]\sqrt{2676}[/tex] (we have taken s=1)
=642+0.045
=642.045
Lower=642-2.33*1/[tex]\sqrt{2676}[/tex]
642-0.045 (putting values in formula given above)
=641.955
Hence the proportion of people preferred foreign cars than domestic cars is 0.24 and the confidence interval is (641.955,642.045).
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The ages and grades of some of the 19 girls on a club soccer team are
shown in the table.
O A.
15 years old
2
9th grade
10th grade
Which two-way frequency table correctly shows the marginal frequencies?
9th grade
10th grade
16 years old
0
10
15 years 16 years
old
old
2
0
7
10
Total
2
17
Answer:
Other answer is wrong. The answer is this choice
The table C correctly shows the marginal frequencies.
What is two ways frequency table?A two-way table is a way to display frequencies or relative frequencies for two variables.
One of the variables is represented using rows and the other one using columns.
They are used to see if there is any relationship between the two variables.
Given that, the ages and grades of some of the 19 girls on a club soccer team are shown in the given table.
We need to select the table showing the correct marginal frequencies.
So, we see that,
Table A and Table D add up to a total of 21 girls.
The question says there are 19 girls, so those two are eliminated.
Table B's data doesn't even add properly so that is eliminated too.
This leaves Table C.
Hence, the table C correctly shows the marginal frequencies.
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The complete question is attached.
Find the surface area. Round your answer to the nearest hundredths, if necessary. Leave your answer in terms of for answers that contain .
Answer:
Area of triangle = (base x height)/2
There are all together 4 triangles and 1 square.
Therefore, surface area = area of square + 4 x area of triangle
height = 5.8 in, base = 6 in. area of square = 6x6 = 36 in^2.
area of 1 triangle = (5.8x6)/2
area of 4 triangles = 2x5.8x6 = 69.6 in^2
surface area = 69.6 + 36 = 105.6 in^2
Step-by-step explanation:
Find the first four terms of the sequence given by the following. an= 4(2)^n-1 n=1, 2, 3...
Answer + Step-by-step explanation:
an= 4(2)ⁿ⁻¹
First term (n = 1) :
a1= 4(2)¹⁻¹ = 4(2)⁰ = 4×(1) = 4
Second term (n = 2) :
a2= 4(2)²⁻¹ = 4(2)¹ = 4×(2) = 8
Third term (n = 3) :
a3= 4(2)³⁻¹ = 4(2)² = 4×(4) = 16
Fourth term (n = 4) :
a4= 4(2)⁴⁻¹ = 4(2)³ = 4×(8) = 32
can anyone slove this with formula ( operations with rational number)
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What's
the solution set of this problem?
0 (-2,-21)
0 (-2,-21
O [-21,42)
(21,42)
Answer:
[tex]x \leqslant - 21[/tex]
Step-by-step explanation:
[tex]5(x + 27) \geqslant 6(x + 26)[/tex][tex]5x + 135 \geqslant 6x + 156[/tex]
[tex] - 21 \geqslant x[/tex]
[tex]x \leqslant - 21[/tex]
Consider the equality xy=k. Write the following inverse proportion: y is inversely proportional to x. When y = 2, x = 14.
2/1 = k/14
1/k = 14/2
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation \#1.}[/tex]
[tex]\mathbf{\dfrac{2}{1} = \dfrac{k}{14}}[/tex]
[tex]\huge\textbf{Cross multiply the given numbers}\\\huge\textbf{you have listed.}[/tex]
[tex]\mathbf{2\times14 = k \times1}[/tex]
[tex]\mathbf{2\times14 = 1\times k}[/tex]
[tex]\mathbf{28 = 1k}[/tex]
[tex]\mathbf{1k = 28}[/tex]
[tex]\huge\textbf{DIVIDE 1 to BOTH SIDES}[/tex]
[tex]\mathbf{\dfrac{28}{1} = \dfrac{1k}{1}}[/tex]
[tex]\huge\textbf{SIMPLIFY IT!}[/tex]
[tex]\mathbf{k = \dfrac{28}{1}}[/tex]
[tex]\mathbf{k = 28}[/tex]
[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{k = 28}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Equation \#2.}[/tex]
[tex]\mathbf{\dfrac{1}{k} = \dfrac{14}{2}}[/tex]
[tex]\huge\textbf{Cross multiply the given numbers}\\\huge\textbf{you have listed.}[/tex]
[tex]\mathbf{1\times 2 = 14\times k}[/tex]
[tex]\mathbf{2 = 14k}[/tex]
[tex]\mathbf{14k = 2}[/tex]
[tex]\huge\textbf{DIVIDE 14 to BOTH SIDES}[/tex]
[tex]\mathbf{\dfrac{14k}{14} = \dfrac{2}{14}}[/tex]
[tex]\huge\textbf{SIMPLIFY IT!}[/tex]
[tex]\mathbf{k = \dfrac{2}{14}}[/tex]
[tex]\mathbf{k = \dfrac{2\div2}{14\div2}}[/tex]
[tex]\mathbf{k = \dfrac{1}{7}}[/tex]
[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{k = \dfrac{1}{7}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitritr1040:)}[/tex]Find the total surface area of the cylinder shown. Leave the answer in terms of π. A cylinder with radius 4.25 inches and height 6 inches. SA=2πrh+2πr2
Answer:
[tex]87.125\pi in^{2} or 87\frac{1}{8}\pi in^{2}[/tex]
Step-by-step explanation:
Given Surface Area of Cylinder = [tex]2\pi rh+2\pi r^{2}[/tex],
and also given r = 4.25 inches and h = 6 inches.
Let's Substitute r and h into the formula to find the total surface area.
Surface Area of Cylinder = [tex]2\pi (4.25)(6)+2\pi (4.25)^{2} \\=51\pi +36.125\pi \\=87.125\pi in^{2} or 87\frac{1}{8} \pi in^{2}[/tex]
There are 400 students at a sports camp. Two hundred students play soccer, 100 students play baseball, and 100 students play basketball. Which circle graph could be used to display this data? A circle graph. About 60 percent is soccer, 15 percent is baseball, 25 percent is basketball. A circle graph. About 25 percent is soccer, 25 percent is baseball, 50 percent is basketball. A circle graph. About 50 percent is soccer, 25 percent is baseball, 25 percent is basketball. A circle graph. About 33 percent is soccer, 33 percent is baseball, 33 percent is basketball.
Answer:
C. About 50 percent is soccer, 25 percent is baseball, 25 percent is basketball.
Step-by-step explanation:
400 students at a sports camp.
200 play soccer, which is 50% or half of the students at the sports camp.
100 play baseball, which is 25% or a quarter of the students at the camp.
100 play basketball, which is also 25% or a quarter of the students at the camp.
So, the circle graph that shows soccer 50%, baseball 25%, and basketball 25%, is the answer.
Hope this helps!
If not, I am sorry.
Solve on the interval [0,2%):
2 cos²x+3cosx+1=0
Answer:
Step-by-step explanation:
What is the sum of the first six terms of the geometric series? 2 – 6 18 – 54 ...
The sum of the first six terms of the geometric series is -364.
A geometric series is a sequence of terms in a fixed common ratio.
Apparently, the expression "geometric progression" comes from the "geometric mean" (Euclidean term) of segments of lengths a and b: it is the length of the side c of a square whose area is equal to the area of the rectangle. a and b. May
The series given is
2 – 6 + 18 – 54 + ...
The sum of n terms of a geometric series is given by
Sn=a1 * 1 - rn/1 - r
here the first term is 2
r = -6 /2 = -3
S = 2 (1-(-3)⁶)/(1-(-3))
S = -364
Therefore the sum of the First six terms of the geometric series is -364 .
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Answer:
B
Step-by-step explanation:
Edge
3. (a.) The 12th term of a linear sequence is 74 and the sum of the first three terms is 42, Find (i.) the first term and the common difference (ii.) the sum of the first 10th terms of the sequence. pls answer it is urgent pls
Which of the following equations results in infinitely many solutions?
7y + 15 - 2y = 7(y + 3)
7y +3-2y = 5(y + 3)
7y + 15 = 5(y + 3)
7y + 15 - 2y = 5(y + 3)
Answer:
7y + 15 - 2y = 5(y + 3)
Step-by-step explanation:
So two equations have infinitely many solutions, when they are exactly the same equation, in their most simplified form, for example: 2x = 3x-x which simplifies to 2x=2x. So in the options, three of the options have the same equation on the right side, so I'll distribute the 5. [tex]5(y+3) = 5y+15[/tex]. Now let's look at the options:
7y + 3-2y
5y+3 (this is not the same as 5y + 15)
7y + 15 (this is not the same as 5y + 15)
7y + 15 - 2y
5y + 15 = 5y + 15 (this is the same)
The functions fand g are defined as follows.
g(x) = -2x³-5
f(x)=2x-3
Find f(5) and g(-2).
Simplify your answers as much as possible.
ƒ(s) = 1
s(-2) = 0
3
X
5
?
Answer:
f(5)
-2(5)-3
-10-3=-13
g(-2)
-2(-2)^3-5
-2(-8)-5
16-5=11
Step-by-step explanation:
Help me please for 50 points
I'll also give brainliest
Answer: B. 150°
Step-by-step explanation:
The angle is obviously obtuse and is therefore greater than 90°.
This rules out A. and C.
Also, this angle is not 180° because then it would be flat.
This rules out D.
Leaving the correct answer to be B. 150°
A sample of neon gas at 50.°c and a volume of 2.5 l is cooled to 25°c. what is the new volume? use the formula: v1 t1 = v2 t2 2.3 l 2.7 l 5.0 l 32.3 l
The new amount of neon gas when the temperature drops is 2.30L.
Charles's law
Charles's law states, "The volume occupied by a particular amount of gas is directly proportional to its absolute temperature.
Initial temperature of gas T₁ = 50 ° C = 323.15K
Initial volume of gas V₁ = 2.5L
Final temperature T₂ = 25 ° C = 298.15K
Final capacity V₂ =? Neon gas, substitute the given value into the above equation:
V₁ / T₁ = V₂ / T₂
V₂ = V₁T₂ / T₁
V₂ = (2.5L × 298.15K) ) / 323.15K
V₂ = 2.30 l
Therefore, the new volume when the temperature of the neon gas drops is 2.30l.
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Answer:
A. 2.3
Step-by-step explanation:
1. The perimeter of a rectangular fram is 24 centimeters. It is 4 1/2 centimeters wide. How long is it?
Answer:
7.5 cm
Step-by-step explanation:
The perimeter of a rectangle is the sum of the length of all its sides.
Perimeter of rectangle= 2(length +breadth)
Given: perimeter= 24 cm, breadth= 4.5 cm
Substitute the given information into the formula:
24= 2(length +4.5)
Divide both sides by 2:
length +4.5= 12
Subtract 4.5 from both sides:
length
= 12 -4.5
= 7.5
Thus, the rectangle is 7.5 cm long.
write the first step in an indirect proof of the given statement
Answer: C
Step-by-step explanation:
When doing an indirect proof, you begin by assuming the inverse of the statement you want to prove.
A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (C(15,0). The origin is the center of dilation. What is the scale factor of the dilation
The required scale factor for the dialed triangle is given by SF= 6.28
A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (C(15,0).
The scale factor is defined as the ratio of modified change in length to the original length.
Since, the height and base of the triangle is y coordinate of B and x coordinate of c is given by 4, 6
Area of triangle =1/2(base x height)
= 1/2 (4 x 6)
= 4.8
Similarly, for dilated triangle
Area of dilated triangle = 30
Now, scale factor(SF) = area of dilated triangle \ area of triangle
SF = 30/4.8
SF = 6.25
Thus, the required scale factor is SF = 6.25
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