Answer: BC = 24
Step-by-step explanation:
Given:
AB = x+33
AC = 3x - 15
BC = x
<B = <C
Solution:
Because <B = <C, you can say the corresponding sides AB and AC are equal as well
AB = AC
x + 33 = 3x -15
48 = 2x
x = 24
Since x = BC
BC = x
BC = 24
A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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1.What is the number?
The number is not an odd number
It has exactly four factors
If you reverse the digits, a prime number is formed
The sum of the digits is a two digit prime number
The number is less than the square root of 10^4
One of the digits is a square number
Prime number or u also can write palindromic number
Answer:
15647569
Step-by-step explanation:
1+1
18=6h+2h pls help me with this answer im not understandin it
Answer:2.25 or 9/4
first we need to add 6h and 2h together, and we get 8h, and we divide 8 both side will get the fraction 18/8 and we can simplify will get 9/4 if you want more simple and will become 2.25
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
17. the shaft is supported at its ends by two bearings a and b and is subjected to the forces applied to the pulleys fixed to the shaft. determine the resultant internal loadings acting on the cross section at point d. the 400-n forces act in the -z direction and the 200-n and 80-n forces act in the y direction. the journal bearings at a and b exert only y and z components of force on the shaft.
The resultant normal force at point D along the x-direction is \(F_D_x=0\) and the resultant shear force at point D along the y-direction is \(F_D_y=154.29N\)
Consider the equilibrium of the shaft.
Resolve the forces along the y-direction.
\(R_A_y+R_B_y=200+200+80+80R_A_y+R_B_y=560-----(1)\)
Take moments about point B and about the z-axis:
\(R_A_y*1.4=2*100*0.7+2*80*0.4\\\\R_A_y=245.71\)
Substitute the above value in equation (1).
\(245.71+R_B_y=560\\\\R_B_y=314.29N\)
Resolve the forces along the z-direction.
\(R_A_z+R_B_z=385+385R_A_z+R_B_z=770-----(2)\)
Take moments about point B and about the y-axis:
\(R_A_z*1.4=2*385*1.1\\\\R_A_z=605N\)
Substitute the above value in equation (2).
\(605+R_B_z=770\\\\R_B_z=165N\)
a) The resultant normal force at point D along the x-direction is
\(F_D_x=0\)
b) The resultant shear force at point D along the y-direction is
\(F_D_y-R_B_y+2*80=0\\\\F_D_y-314.29+160=0\\F_D_y=154.29N\)
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The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function
Answer:
\(y = 1125x+30000\) --- The equation
The median income in 2030 is $75000
Step-by-step explanation:
Given
Represent years since 1990 with x and the income with y.
So, we have:
\((x_1,y_1) = (0,30000)\) --- In 1990
\((x_2,y_2) = (16,48000)\) --- In 2006
Solving (a): Express as a function.
First, we calculate the slope
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{48000-30000}{16-0}\)
\(m = \frac{18000}{16}\)
\(m = 1125\)
The equation is then calculated as:
\(y = m(x-x_1)+y_1\)
This gives:
\(y = 1125(x-0)+30000\)
Open bracket
\(y = 1125x-0+30000\)
\(y = 1125x+30000\)
Solving (b): Income in 2030.
In 2030, x = 40.
Substitute 40 for x in \(y = 1125x+30000\)
\(y = 1125*40 +30000\)
\(y = 45000 +30000\)
\(y = 75000\)
Solving (c): The significance of the slope.
In (a), the slope is calculated as 1125.
This implies that the yearly rate is $1125
The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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If Jonny was 21 years old . He is 3 times as old as Becky determined Becky’s age
Answer:
Becky is 7 years old.
Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.
Answer:
Becky's 7 seven years old
Step-by-step explanation:
If 21 = 3x
x = 21/3
x = 7
Hope this helps :)
Pls brainliest...
Which expression is equivalent to -4(2 - 6x) - 2.5x ?
Rewriting the expression, we have:
\(\begin{gathered} -4\mleft(2-6x\mright)-2.5x \\ =-8+24x-2.5x \\ =21.5x-8 \end{gathered}\)So an equivalent expression is 21.5x - 8.
Given the two similar triangles above, what is the measure of side DF?
Answer: 2
Steps: You can find the sides using the proportional way. As in the question it is already said the triangles are similar so they have one value that can be added/subtracted/divided/multipled in order to find either of a length. The bigger triangle, if you divide each side by 4, the answer comes.
16/4 = 4 or AB/4 = DE
12/4 = 3 or CB/4= EF
8/4 = 2 or AC/4= DF
So 2 is the length of side DF.
Answer:
The correct answer would be 2
Step-by-step explanation:
You first want to find your Scale factor which would be 12/3 (simplifyed: 4/1). Then you would want to find the side that corresponds with x, which would be 8 and put in fraction form with x at the bottom. Next you want to cross mutiply the two fraction ( 4/1 and 8/X ) to get the equation 4x=8. Then you divide both sides by 4 to get your answer: 2.
4.2 The Court lines are 50 mm wide. Court paint covers 7 m² per litre of paint. 4.2.1 Calculate the total length of the centre circle and the two goal semi circles to be repainted. You may use the formula: Total length Circumference of a centre circle + 2 x Circumference of a semicircle =
The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.
How to calculate the Calculate the total length of the centre circle and the two goal semi circles to be repaintedGiven:
Court lines are 50 mm wide.
Court paint covers 7 m² per litre of paint.
The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr
Radius of the entire circle = 9 m / 2 = 4.5 m
Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m
Circumference of the centre circle = 2π(4.45 m) = 27.94 m
Next, let's calculate the circumference of the semicircles:
The semicircles are half circles, so the circumference is given by the formula: Circumference = πr
The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.
Circumference of a semicircle = π(4.5 m) = 14.14 m
Total length = Circumference of the centre circle + 2 x Circumference of a semicircle
Total length = 27.94 m + 2(14.14 m)
Total length = 56.22 m
Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.
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help me with this please
What are the roots of x in -10x^2 + 12x − 9 = 0
Answer:
No roots
Step-by-step explanation:
the discriminant Δ = 12²-4×(-10)×(-9) = -216
since ∆ is negative then the equation -10x^2 + 12x − 9 = 0 has no solution .
Which of the following situations would combine to make zero?
Please help! Thank you.
In a city election, two people ran against each other to be the next mayor. Candidate 1 received 24,000votes and candidate 2 received 80,000
.
Answer:
What is the question You are just stateing facts?
Step-by-step explanation:
Please let me know if any one can help
Answer:
No
Step-by-step explanation:
To find the number of items in an array use multiplication. If there are 2 rows and 5 columns the number of items would be equal to 2*5. Think of having 2 groups of 5 or 5+5. If you do this you get 10 objects. Additionally, if you were to draw out the array and count the objects you would get 10. Therefore the answer 8 is unreasonable.
100 + 100=300 u know why u add 100 to 200
Answer:
pog champ
Step-by-step explanation:
Answer:
to make it 21
Step-by-step explanation:
If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
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What happens if you can write a function as a composite in different ways? Do you get the same derivative each time? The Chain Rule says you should. Find
dy/dx if y=x by using the Chain Rule with y as a composite of the following functions. Complete parts (a) and (b) below.
Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.
When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.
To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).
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mart math math math math
Explanation:
Segment AW bisects angle CAD.
This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.
Therefore, angle CAD = 40 degrees.
The supplement of this is angle DAX
(angle CAD) + (angle DAX) = 180
angle DAX = 180 - (angle CAD)
angle DAX = 180 - 40
angle DAX = 140 degrees
HELP PLEASE DUE IN 3 MINUTES
Answer:
convergent boundaries = collied with each other
divergent bounaries = move away from each other
transform boundiares= slide along each other
Step-by-step explanation:
HELP ME ILL GIVE BRAINLIEST
Which of the following factors can affect the strength of electric or magnetic fields? (YOU MAY SELECT MORE THAN ONE ANSWER)
Strength of the magnet/electric charge
The material that is creating the field
The mass of the object creating the field
The distance from the source of the field
Answer:
It's strength of the magnet/electric charge and the distance from the soucre of the field
Have vehicles gotten more fuel-efficient over the years? Between 1960 and 1999 the size and shape of automobiles in the United States has changed almost annually. The amount of fuel consumed by these vehicles has also changed. The following table describes the average fuel consumption per year per passenger car in gallons of gasoline.
Year, t 1960 1970 1980 1990 1995 1997 1998 1999
Gallons Consumed
Per Passenger Car 668 760 576 520 530 538 544 552
Determine the average rate of change, in gallons of gas per year, from 1960 to 1990.
a.
StartFraction delta g Over delta t EndFraction = 4.93 gal/year
b.
StartFraction delta g Over delta t EndFraction = negative 4.93 gal/year
c.
StartFraction delta t Over delta g EndFraction = 0.20 gal/year
d.
StartFraction delta t Over delta g EndFraction = negative 0.20 gal/year
Answer:
the answer is c
Step-by-step explanation:
1 20 points Which expression is equivalent to 8 + 20? 2(6 + 13) 4(4 + 20) ОООО 4(2 + 5) 2(2 + 10)
1. If AACB AEDF, what is the measure of ZEFD.
Answer:
Step-by-step explanation:
110
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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the perimeter of a semicircle protractor is 14.8cm,find it's radius
The radius of the semicircle protractor is approximately 4.693 cm.
Given,Perimeter of a semicircle protractor = 14.8 cm.
To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.
Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.
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We know that d equals the dollar amount needed to buy one hundred seventy-six tickets.
Fill in the proportion using the ratios highlighted in the table.
The value to fill in the proportion using the ratios highlighted in the table is 110
How to fill in the proportion using the ratios highlighted in the table.?From the question, we have the following parameters that can be used in our computation:
The table
On the table, we have the following values
Dollars 5 10 15 20 30 65 80 d
Ticket 8 16 24 32 48 104 128 176
From the question, we understand that the table is in proportions
This means that we can use the following ratio
5 : 8 = d : 176
Express as fraction
d/176 = 5/8
So, we have
d = 5/8 * 176
Evaluate the products
d = 110
Hence, the value of d is 110
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✓
Identify the graph(s) of exponential growth.
A
I only
B)
III and IV only
I and IV only
D
and IV only
Answer:
D : || ,|||, |V is the answer
An exponential function is in the form y = abˣ, where a is the initial value and b is greater than 1. Graph II, III and IV represent an exponential growth.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An exponential function is in the form y = abˣ, where a is the initial value and b is greater than 1. Graph II, III and IV represent an exponential growth.
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Can anyone please help me answer the
PICTURE IS PROVIDED!
Answer:1 and 4
Step-by-step explanation: