The coefficients of the expression are 6, 1.
The constant of the expression is 9.
The error Jake might have made is that: D. Jake did not include the coefficient 1.
What is a coefficient?In Mathematics, a coefficient simply refers to a constant quantity or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.
Based on the algebraic expression provided, we can reasonably infer and logically deduce that there are two (2) coefficients and these include 6 as the coefficient of b and 1 as the coefficient of y.
This ultimately implies that, the error Jake made was not including the coefficient 1 for y.
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Complete Question:
On a math test a student, Jake, has to identify all the coefficients and constants of the expression 9 + 6b + y. Jake says that 6 is a coefficient and 9 is a constant. Identify all the coefficients and constants of the expression. What error might Jake have made?
The coefficient(s) of the expression is/are __
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)
What error might Jake have made?
A. Jake said 9 is a coefficient. It is actually a constant.
OB. Jake said 6 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
A spherical snowball is melting. Its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm. How fast is the volume decreasing 5 minutes later? give your answer in cubic centimeters per minute.
Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.
Define differentiation.Differentiation is the process of determining a function's derivative. Differentiating algebraic functions, trigonometric functions, and exponential functions are the three fundamental derivatives. The velocity is the rate at which a displacement changes in relation to time. A differentiation example would be this. The first derivative of displacement is velocity. The second derivative of displacement is acceleration.
Given,
The radius is decreasing at a rate of dr/dt = 3.
R = 100 cm is the beginning value of the radius.
The duration is t = 25 minutes.
Volume of snowball:
V = 4/3π(100 - 3r)³
Differentiating:
dV/dt = 4/3 × 22/7 (3)(-3)(100-3(25)²)
dV/dt = -23561.94 cm³
Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.
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Given s(x) = 2x - 3 and t(x) = 5x + 4. Find the formula and domain for v(x) = and w(x) =.
With the exception of x=4/5, the domain of s(x) over t(x) is all real numbers. Except when x=-3/2, all real numbers fall within the domain of w(x).
Given,
The value of the independent variable, often x, for which the supplied function is specified is the domain of a function.
When the value of the denominator falls to zero, a function that is composed of the fraction of two polynomials is not defined.
The numerator of t(x) should not be zero since the domain of s(x) over t(x) will be all real integers except the numerator of zero.
t(x) = 0
5x + 4 = 0
5x = -4
x = -4/5
With the exception of x=-4/5, all real numbers fall into the domain of s(x) over t(x).
Similar to w(x), s(x) should not be zero because the domain of w(x) will be all real numbers except for the one that makes the denominator equal to zero.
s(x) = 0
2x - 3 = 0
2x = 3
x = 3/2
With the exception of x=-3/2, all real numbers fall within the domain of w(x).
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what is 3/36 times 60
Answer:
5
Step-by-step explanation:
Answer: The answer to that would be 5.
Step-by-step explanation:
Hope this helps!
Answer question in picture
Answer: 0 = 70º
Step-by-step explanation: Solve sin(π/9) = cos(0) to find angles
what is the theoretical flow time? (the minimum time required to produce a garage door from start to finish.) the potential answers are: a: 50 minutes. b: 54 minutes. c: 26 minutes. d: 56 minutes. e: 58 minutes.
Theoretical flow time = 58 minutes
The complete question is
Mamossa Assaf Inc. fabricates garage doors. Roofs are punched in a roof punching press (15 minutes per roof) and then formed in a roof forming press (8 minutes per roof). Bases are punched in a base punching press (3 minutes per base) and then formed in a base forming press (10 minutes per base), and the formed base is welded in a base welding machine (12 minutes per base). The base sub-assembly and the roof then go to final assembly where they are welded together (10 minutes per https://brainly.com/question/27786618garage) on an assembly welding machine to complete the garage. Assume one operator at each station.
Roof → Roof - punch(15 min) → Roof-form(8 min) →→→→→→→→↓
(10)Assembly→ Door
Base → Base - punch(3 min) → Base - form(10 min) → weld(12 min)↑
Roof path = 15 + 8 = 23
Base path = 3 + 10 + 12 =25
Theoretical flow time = Roof path + base path + assembly = 23 + 25 +10 = 58 mins
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Solve negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity end quantity.
18 over 80
one eighth
negative one and 28 over 80
negative five eighths
The value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.
We are given the following expression:
Negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity.
Rewrite the given expression properly as:
-1/5 * (4 - 14) * (1/4)^2
Evaluate the difference, we will get;
-1/5 * (-10) * (1/4)^2
Evaluate the exponent, we will get;
-1/5 * (-10) * 1/16
This gives us;
2 * 1/16
Further, evaluation give us;
1/8
So, the value of the given expression is 1/8 or one eighth.
Option B is correct.
Thus, the value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.
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I need help on this !!!
We can make 75 different outfits by using the fundamentals of the counting principles.
Fundamental of counting principles: It states that if there are m ways of making one choice, n ways of making a second choice, and p ways of making the third choice then there are m x n x p ways of making the first choice, followed by the second choice, and followed by the third choice.
Given that:
The different number of tops (m) = 5
The different number of bottoms (n) = 5
The different number of shoes or boots (p) = 3
Then, according to the fundamental of counting principles, we will multiply the different numbers of tops (m) which is the first choice, different numbers of bottoms (n) which is the second choice, and different numbers of shoes or boots (p) which is the third choice.
Therefore, the different outfits we can make = m x n x p
= 5 x 5 x 3
= 75 different outfits
Hence, we can make 75 different outfits.
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Simplify 1 over 6x + 3 over 4 ( 1 over 2x - 4)
The after simplification of the expression 1 over 6x + 3 over 4 ( 1 over 2x - 4), we get (26 - 144)/48x.
We need to simplify 1 over 6x + 3 over 4 ( 1 over 2x - 4)
1/6x + 3/4 (1/2x - 4)
1/6x +3/4 ((1 - 8x)/2x)
1/6x + (3 - 24x)/8x
(8 + 6(3 - 24x))/(6x8) x
(8 + 18 - 144x)/48x
(26 - 144)/48x
Therefore, the after simplification of the expression 1 over 6x + 3 over 4 ( 1 over 2x - 4), we get (26 - 144)/48x.
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You can use indirect measurement to estimate the height of a flag pole. First measure your distance from the base of the flagpole and the distance from the ground to a point on the flag pole that you are looking at. Maintaining the same angle of sight, move back until the top of the flag pole is in your line of sight. Explain why AABC and ADBE are similar. a. b. What is the height of the flagpole? E 7.5 ft Bi AT 4.5 ft 51-22 ft- D T 4.5 ft
The height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
You can use indirect measurement to estimate the height of a flag pole.
Given:
AC || DE
The common angle: Angle B = Angle B
Angle BAC = Angle BDE
Triangle ABC = Triangle DBE (By AA rule)
BC/BE = BA/BD
(7.5 - 4.5)/BE = 5/22
BE = 13.2
The height of the flag pole
h = BE + 4.5 = 13.2 + 4.5 = 17.7 ft
Thus, the height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.
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A ladder 13m long reaches a window which is 5m above the ground , on one side of the
street. Keeping its foot at the same point,
the ladder is turned to the other side of the street
to reach a window at a height of 12m. Find the
width of the street.
The ladder is 13 m long and leans against a window 5 m high, then the ladder leaned to the other side without moving its feet to reach the 12 m high window.
if we imagine a leaning ladder it will look like a right triangle and it will remind us of the Pythagorean theorem. do you remember the pythagorean theorem?
The Pythagorean theorem explains the relationship or relationship between the lengths of the sides of a right triangle.
The Pythagorean theorem reads: "The square of the length of the hypotenuse (hypotenuse) in a right triangle is equal to the sum of the squares of the lengths of the other sides".
in the picture, let's say if the width of the street is a, the height of the window is b and the length of the stairs is c.
in this case we will find the width of the street, namely a, then we use formula a² = c² - b² .
then it will be
b = 12
c = 13
a² = c² - b²
a² = 13² - 12²
a² = 169 - 144
a² = 25
a = 5
So the width of the street is 5 mSolve the system of linear equations by graphing.
- 6x - y = -8
1/2Y = 4-3x
Answer:
[tex]x=\frac{-8+y}{6}[/tex]
Step-by-step explanation:
Let us evaluate this problem.
First, add Y to both sides
[tex]-6x-y+y=-8+y[/tex]
Always remember to simplify.
[tex]-6x=-8+y[/tex]
Divide both sides by -6
[tex]\frac{-6x}{6} =\frac{8}{-6} +\frac{y}{-6}[/tex]
Simplify one more time.
[tex]x=\frac{-8+y}{6}[/tex]
Your final answer is:
[tex]x=\frac{-8+y}{6}[/tex]
Your brother is 13 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age a.
An equation is
=10.
You are
12 years old.
The required age from the equation is 12 years old
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the age to be calculated be = a
The age of the brother be b = ( 1 / 3 ) a
Multiply by 3 on both sides , we get
a = 3b
So , Age to be calculated a = 3b
The age of sister c = 6 years elder than brother
So ,
The age of sister c = b + 6
The age of sister c = 10
From the equations , we can simplify that
c = b + 6
Substituting the value for c , we get
10 = b + 6
Subtracting 6 on both sides , we get
b = 4
Now , from the equation , we get
Age to be calculated a = 3b
= 3 x 4
= 12 years old
Hence , the age to be calculated a is 12 years old
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Aiden is replacing the tile in a rectangular kitchen. The length of the kitchen is nine feet shorter than three times its width, w. The perimeter of the kitchen is six times the width. If tiles cost $1. 69 a square foot, what is the total cost to tile the kitchen?.
Total cost to tile the kitchen =$273.78
Let the width of kitchen = w
The length of the kitchen is nine feet shorter than three times its width, w = 3 w-9 equation-----1
The perimeter of the kitchen is six times the width = 6 w
= 2(length+width) =6 w equation----2
from equation 1 and 2
= 2(3 w-9+w) = 6 w
= 6 w-18+2 w = 6 w
2 w = 18
w = 9
Length = 3 w-9
length = 3×9-9
length = 18
Area of kitchen = length×width
= 18×9
= 162 square foot
Cost of tiles per square = $1.69
Total cost to tile the kitchen = Area of kitchen × cost of tiles per square
= 162×$1.69
=$273.78
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If the tiles cost $1.69 a square foot, the total cost to the tiles of the kitchen is $273.28.
According to the question:
Let the width be = x
Then, the length of the rectangular kitchen is L = 3x - 9
The perimeter is = 6x
It is given that the cost of the tile = $1.69 a square foot.
Then the total costs of tiles the kitchen is :
The Perimeter of the rectangle = 2(L + b)
The Perimeter of the rectangle = 2(3x - 9 + x)
The Perimeter of the rectangle = 2(4x-9)
We know that, according to the question,
the perimeter of the kitchen is six times the width = perimeter of rectangle
⇒ 6x = 8x - 18
⇒ - 2x = - 18
⇒ x = 18/2
⇒ x = 9
Thus, the width = x = 9 feet
Putting the value of x = 9
then, The length = 3x - 9 = 3(9) - 9
the length = 27 - 9
the length = 18 feet
Therefore, as we know that,
Area = Length × Width
Area = (18 × 9) feet
Area = 162 square feet.
Now,
Cost of a Tile = $1.69 per sq. ft.
Thus,
Total Cost of tile = $1.69 × 162
Total Cost of tile = $273.28
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5.1 contracts for two construction jobs are randomly assigned to one or more of three firms, a, b, and c. let y1 denote the number of contracts assigned to firm a and y2 the number of contracts assigned to firm b. recall that each firm can receive 0, 1, or 2 contracts. a find the joint wackerly, dennis; mendenhall, william; sheaffer, richard l.. mathematical statistics with applications (p. 232). cengage textbook. kindle edition.
The solutions are;
The joint probability of y1 and y2 is [tex]\left[\begin{array}{ccc}0\\1\\2\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right][/tex] and F(1,0) = 1/3.
Given data;
Let y1 signify the number of contracts awarded to firm a and y2 the number of contracts assigned to firm b. Recall that each firm can receive 0, 1, or 2 contracts. Contracts for two construction tasks are randomly assigned to one or more of three firms, a, b, and c.
To find,
(a) The joint probability function for y₁ and y₂
Let y₁ denote the number of contracts assigned to firm A,
y₂ the number of contracts assigned to firm B
y₁
[tex]\left[\begin{array}{ccc}0&1&2\\\\\end{array}\right][/tex]
y₂
[tex]\left[\begin{array}{ccc}0\\1\\2\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right][/tex]
(b) Find F(1,0)
F(1,0) = p(y₁ ≤ 1, y₂ ≤ 0)
= p(0,0) + p(1,0)
= 1/9 + 2/9
= 1/3.
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Find the value of x.
Answer:
C (41)
Step-by-step explanation:
A straight line has 180 degrees in it. all you would have to do is is add the known numbers, 16 + 123, getting 139. Then subtracting 139 from 180m. You would then get 41.
Answer:
x=41
Step-by-step explanation:
(X+16)+123=180
x+139=180
-139. -139
x=41
Hopes this helps please mark brainliest
4^5-9x = 1/8^x-2
what is x equals? and the steps
.. please
You can ask where you don't understand.
1= Prt.
You deposit $2,500 into an account
earning Simple interest. The
interest rate is 1.75%
How much money will be in the
account after 8 years?
-How much interest will be earned
5 years?
in
Part a
There will be $2850 in the account after 8 years
Part b
The amount of interest earned in 5 years is $218.75
The principal amount = $2500
The interest rate = 1.75%
The time period = 8 years
Part a
The simple interest
A = P(1 + rt)
Substitute the values in the equation
A = 2500(1 + (1.75/100)×8)
A = 2500( 1 + 0.14)
A = 2500( 1.14)
A = $2850
Part b
The time period = 5 years
Simple interest = Prt
= 2500 × (1.75/100) × 5
= 2500 × 0.0175 × 5
= $218.75
Hence,
Part a
There will be $2850 in the account after 8 years
Part b
The amount of interest earned in 5 years is $218.75
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4. 6 2/3 divided by 8
Please help this is due tomorrow
If W(-10, 4). X(-2, 71), and Y(-5, 10) classify triangle WXY by its sides. Show all work to justify your answer.
If W(-10, 4), X(-2, 71), and Y(-5, 10), triangle WXY is an isosceles triangle.
What is an obtuse scalene triangle?
An obtuse scalene triangle is a triangle in which one of the angles is greater than 90 degrees but less than 180 degrees and the other two angles are less than 90 degrees. The measurements of all three sides and angles
Distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
The given points are W(-10, 4), X(-2, 71), and Y(-5, 10) .
Let's find the length of WX.
[tex]WX = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WX = \sqrt{(-2 -(-10))^2 + (71-4)^2}\\\\WX = \sqrt{(8)^2 + (67)^2}\\\\WX = \sqrt{64 + 4489}\\\\WX = \sqrt{64 + 4489}\\\\WX=67.47[/tex]
Now find the length of XY.
[tex]XY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\XY = \sqrt{(-5-(-2))^2 + (10-71)^2}\\\\XY = \sqrt{(-3)^2 + (-61)^2}\\\\XY = \sqrt{9 + 3721}\\\\XY=61.07[/tex]
Now find the length of WY.
[tex]WY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WY = \sqrt{(-5-(-10))^2 + (10-4)^2}\\\\WY = \sqrt{(5)^2 + (6)^2}\\\\WY = \sqrt{25+36}\\\\WY=7.81[/tex]
So from calculations, we can say that triangle is an obtuse scalene triangle.
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Find the missing side of the triangle.
The PTA is purchasing 5 gallon tubs of ice cream for
ice cream sundaes. One gallon of ice cream is 16 Cups
b) How many 1 cup servings are in a 5 gallon tub?
5 gallon tubs of ice cream will make 80 cups of ice cream servings.
According to the question,
We have the following information:
The PTA is purchasing 5 gallon tubs of ice cream cups. One gallon of ice cream is 16 Cups.
Now, we know that when we have to find cost or number of any product then we use multiplication.
Now, we have the following expression:
1 gallon of tub = 16 cups of ice cream
5 gallon of tubs = 5*16 cups of ice cream
5 gallon of tubs = 80 cups of ice cream
Hence, 5 gallon tubs of ice cream will make 80 cups of ice cream servings.
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-6v > 48.help meeeeee
Answer: v<-8
im not sure if that what your looking for but
Noemi strings together x green beads at $0. 75 each with 3 blue beads at $0. 30 each. She makes a bracelet that averages $0. 60 per bead. Choose an equation to model the situation.
The model equation for the given situation is
$0.75x + $0.90)/(3 + x) = $0.60 where,
x ----> known number of green beads
$0.60 ---> bracelet average per bead
Averages cost is defined as the ratio of total cost of all purchsed expenses to the total numbers of purchsed expenses in counts .
We have given that,
Noemi strings x green beads and 3 blue beads.
Cost of each green beads = $0.75
Cost of each blue beads = $0.30
Total cost of purchasing is product of total number of expenses by cost of each expense. So, Total cost of green beads = $ 0.75 x
Total blue bead cost = 3 x 0.3 = $ 0.9
Total number of beads used by Noemi = x + 3
Total cost of all beads (green+blue)
= $(0.75x + 0.9
Average of bracelets is $0.60 per bead
So average formula ,
($0.75 x + $0.9)/(x+3) = $0.60
or 0.75 x + 0.9 = 0.60x+ 0.18 => 0.75x - 0.60x= 0.9
=> 0.15x = 0.9 => x = 6 i.e we get total 6 green beads if solve the model.
Hence, equation of model in this situation is
($0.75 x + $0.9)/(x+3) = $0.60
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8. Dagne measures and finds that she can do a vertical jump that is 27.5% of her height. If Dagne can jump 13.2 inches, how tall, in inches, is she
36.3 inches the tall is she in.
Given that;
Percentage of vertical jump height = 27.5%
Dagne's height = 13.2 inches
We need to find:
Height of jump
We know that the formula for Computation:
Height of jump = Percentage of vertical jump height × Dagne's height
so,
Height of jump = 13.2 × 27.5
That equals to
Height of jump = 36.3 inches
Hence the answer is 36.3 inches the tall is she in.
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What is the domain of the exponential function y = 8^x+2?
hola buenas tardes como está el día de hoy ? yo estoy bien gracias por preguntar, espera...hablas español verdad...?
Answer: All real numbers
Step-by-step explanation: It is pretty simple. Just see if the x can be undefined. In this case x works with every number. So, it's all real numbers
Need help asap. Simplify the expression 4/x-3/x show work
Answer:
1/x
Step-by-step explanation:
2
2 points
If I || m, find the value of x and y.
(7x + 12)
(12x - 28)
(9y-77)"
m
If I || m, find the value of x and y.
Given (7x + 12)
(12x - 28)
(9y-77)
What does the term " l || m " represents?
This term indicates that the line 'l' is parallel to the line 'm'.
It can be seen that, ∠(7x + 12) and ∠(12x - 28) from alternate interior angles as line 'l' and 'm' are parallel. These angles will be equal to each other. Therefore, we can write -
7x + 12 = 12x - 28
12x - 7x = 12 + 28
5x = 40
x = 8
Now, ∠(12x - 28) and ∠(9y - 77) form a straight angle. Therefore, we can write -
(12x - 28) + (9y - 77) = 180
(12 x 8 - 28) + (9y - 77) = 180
68 + 9y - 77 = 180
9y = 180 + 9
9y = 189
y = 21
Hence the answer is, the values of [x] and [y] will be 8 and 21 respectively.
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A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.
The 95% confidence interval for the average apple weight is (119.14, 125.86).
Given info,
The average weight per apple, according to one manufacturer, is 120 grams, with a standard deviation of 12 grams. The average weight per apple, according to data produced from a sample of 49 apples drawn at random from a shipment, was 122. 5 grams.
Let,
n = 49
x = 122.5
σ = 12
To calculate and interpret a 95% confidence interval for the mean weight per apple;
∴ A 95% confidence interval is given by,
(x ± 1.96*σ/√n)
(122.5 ± 1.96*12/√49)
(119.14, 125.86)
Hence, a 95% confidence interval for the mean weight per apple is (119.14, 125.86).
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What is the answer to this question
Answer:
x = 11
Step-by-step explanation:
Let's have one of the numbers be represented by the variable, x, and the other number be represented with the variable, y
Since the sum of the two numbers is 55, we can write the following equation:
x + y = 55
Then since one number is 4 times as large as the other, we can write: y = 4x
We can now substitute this expression for y into the second equation and solve by
combining like terms and using inverse operations to solve for x:
x + y = 55
x + 4x = 55
5x = 55
5x/5 = 55/5
x = 11
One of the numbers is 11.
Since the sum of the numbers is 55, the other number will be 44.
Answer:
11 and 44
Step-by-step explanation:
→ Write 2 equations
x + y = 55
y = 4x
→ Substitute bottom equation into top
x + 4x = 55
→ Solve
x = 11
→ Find y
4 × 11 = 44
The ratio of 19 yellow beads to 4 red
Answer:
the answer is 19: 4
Step-by-step explanation:
19:4