Answer:
James has 32 game cards
Step-by-step explanation:
X=Fay
x+16=James
X(Fay) + (x+16) James =48
x+x+16=48
2x=32
x=16 Fay
x+16 James
16 + 16=32 James
check answer:
16 Fay + 32 James =48
16+32=48
48=48
If adult grey whales weigh an average of 50 - 55 tons, about how many pounds does an adult grey whale weigh? (A ton equals 2000 pounds.)
Answer:
100000
Step-by-step explanation:
First multiplt the given njmber with 2000 and subrat total number givem
Answer: c
Step-by-step explanation:
I REALLY NEED HELP , “ a company is designing a new cylindrical water bottle. the volume of the bottle will be 207 cm *to the 3rd power* the height of the water bottle is 8.4 cm. what is the radius of the water bottle?”
Answer:
Radius, r = 2.80 cm
Step-by-step explanation:
Given the following data;
Volume of cylinder = 207 cm³
Height = 8.4 cm
Pie, π = 3.14
To find the radius of the water bottle;
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a cylinder.
r represents the radius of the cylinder.
h represents the height of the cylinder.
Substituting into the formula, we have;
207 = 3.14 * r² * 8.4
207 = 26.376r²
r² = 207/26.376
r² = 7.85
r = √7.85
Radius, r = 2.80 cm
What is the correct answer???
Can anyone help? I’ll give Brainly! Thank you :)
==============================================================
Explanation:
f(x) is equal to both x^2-2x+3 and also -6x at the same time. Set those two expressions equal to one another and solve for x.
x^2-2x+3 = -6x
x^2-2x+3+6x = 0
x^2+4x+3 = 0
(x+3)(x+1) = 0 .... see note below
x+3 = 0 or x+1 = 0
x = -3 or x = -1
Note: 3 and 1 multiply to 3, and also add to 4.
---------------------
Once we get the x values, we plug them into either equation to find the y value.
So if x = -3, then
f(x) = x^2-2x+3
f(-3) = (-3)^2-2(-3)+3
f(-3) = 9 + 6 + 3
f(-3) = 18
or we could say
f(x) = -6x
f(-3) = -6(-3)
f(-3) = 18
Both versions produce the same output when x = -3.
The second version is easier to work with.
Since x = -3 leads to y = 18, we know that (-3, 18) is one of the solutions. That explains where your teacher got (-3, 18) from.
-----------
We'll use this idea for x = -1 now
f(x) = x^2-2x+3
f(-1) = (-1)^2-2(-1)+3
f(-1) = 1 + 2 + 3
f(-1) = 6
or we could say
f(x) = -6x
f(-1) = -6(-1)
f(-1) = 6
Like before, both versions of f(x) produce the same output when the input is x = -1.
The other solution is (-1, 6)
I need help will give out Brainlyest
Answer:
[tex] \frac{6}{6 - 2} = \frac{6}{4} = \frac{3}{2} [/tex]
Answer:
[tex] \rm \rightharpoonup \: f(x) = \frac{x}{x - 2} \\ \rm \rightharpoonup \: f(6) = \frac{6}{6 - 2} \\ \rm \rightharpoonup \: \frac{6}{4} \\ \rm \rightharpoonup \: \frac{3}{2} [/tex]
Hence option A is correctUse the graph that shows the solution to f(x)=g(x).
f(x)=73x−3
g(x)=2x−4
What is the solution to f(x)=g(x)?
Select each correct answer.
−12
0
2
3
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Answer:
x = 0, x = 3
Step-by-step explanation:
It appears your equations are intended to be ...
f(x) = (7/3)x -3
g(x) = 2^x -4
These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.
The solutions to f(x) = g(x) are x ∈ {0, 3}.
What would be the 12th number in the following pattern: 1,1,2,3,5,8,13,21…?
Answer:
I believe its 34
Step-by-step explanation:
because for example the first 2 numbers are both 1 and 1 + 1 is 2 which is the 3rd number and 13 + 21 is 34 I really hope this helped
Use the following graph of the function f(x) = 3x^4 − x^3 + 3x^2 + x − 3 to answer this question: What is the average rate of change from x = −1 to x = 0?
A. −6
B. −3
C. 3
D. 6
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Answer:
A. -6
Step-by-step explanation:
The average rate of change on that interval is given by ...
m = (f(0) -f(-1))/(0 -(-1)) = f(0) -f(-1)
m = -3 -(3) = -6
The average rate of change on the interval is -6.
Answer:
A. -6Step-by-step explanation:
#CarryOnLearningWhich statement is not always true?
Write down all the prime numbers between 41
Answer: Step-by-step explanation:
List of prime numbers before 41 (including 41 itself): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41.
Enter the explicit rule for the geometric sequence.
1/4, 1/2, 1, 2, 4, …
Answer:
[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is the same, and this quotient is given by q.
The explicit rule of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
1/4, 1/2, 1, 2, 4
This means that [tex]a_1 = \frac{1}{4}[/tex], and:
[tex]q = \frac{4}{2} = \frac{2}{1} = \frac{1}{\frac{1}{2}} = \frac{\frac{1}{2}}{\frac{1}{4}} = 2[/tex]
So the explicit rule is:
[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]
simplify (4.2^n+1 _ 2^n+2 )/(2^n+1 _ 2^n).
4.2^n+12^n+2/2^n+12^n
Step-by-step explanation:
what is 18cm in a scale 1:50?
Answer:
900 cm
Step-by-step explanation:
Proportions
1cm ⇒ 50cm
18cm ⇒ Wcm
W = 18*50/1
W = 900cm
Which expression represents the
following calculation?
Subtract 23 from the product of 8 and 7.
A 23 - (8 X 7)
B (8 x 7)-23
C (23 - 8) X 7
D 8 X (7 - 23)
Answer:
B (8x7)-23 is the answer
Subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
Subtract 23 from the product of 8 and 7
The product of the 8 and 7 can be written as (8 X 7)
Subtract 23 from (8×7)
(8 X 7) - 23
Thus, subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.
Learn more about the arithmetic operation here:
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In Problems 59–62, find the length of each side of the triangle
determined by the three points P1, P, and Pz. State whether the
triangle is an isosceles triangle, a right triangle, neither of these, or
both. (An isosceles triangle is one in which at least two of the sides
are of equal length.)
59. P = (2,1); P2 = (-4,1); Pz = (-4,-3)
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Answer:
right triangle
Step-by-step explanation:
Segment P1-P2 is horizontal of length 2-(-4) = 6. Segment P2-P3 is vertical of length 1-(-3) = 4. The horizontal and vertical sides are perpendicular to each other, so it is a right triangle. The sides are of different lengths, so it is a scalene triangle (not isosceles).
Work out the value of x
Step-by-step explanation:
X+3X+90=360
4X+90=360
4X=360-90
4X=270
270÷4=67.5
X=67.5 degrees
Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?
Answer:
He showed that f(n) ÷ f(n - 1) was a constant ratio.
Given that Jake has proved that a function f(x) is a geometric sequence.
GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.
So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.
That is, if 'c' is the constant that was used in the proof, then we must have
This implies that
Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.
Find the volume of each figure. Round your answer to the nearest tenth, if necessary
Answer:
V = 168 km³
Step-by-step explanation:
We are given a triangle prism.
Volume of a triangle prism = ½*a*c*h
Where,
a = 8 km
c = 6 km
h = 7 km
Substitute
V = ½*8*6*7
V = 4*6*7
V = 168 km³
PLEASE HE L P IT WOULD mean the world to me<3..............................................................................................................................................................................Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Is the function representing the weekly paycheck amount of Salesman A a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman B a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman C a proportional relationship? Use complete sentences to explain your reasoning.
Answer:
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal
Step-by-step explanation:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
Q3)
Find the Correlation of the following two variables
X: 2, 3, 5, 6
Y: 1, 2, 4, 5
Can you help me with this question
Answer:
308 (Third Option)
Step-by-step explanation:
Have a Great Day! :D
The triangle and the rectangle have the same area
calculate the value of w.
Show your working
Answer:
2.5 cm
Step-by-step explanation:
6*5=30
30/2=15
That's the area of the triangle
The area of the rectangle must also equal 15
6*w=15
Divide by both sides by 6
This gives you: 2.5
The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm
Used the formula of area of the rectangle and area of the triangle which states that,
Area of rectangle = Length × Width
And, Area of triangle = 1/2 × Base × Height
Given that,
The triangle and the rectangle have the same area.
Here, in a triangle;
Base = 5 cm
Height = 6 cm
So, the Area of the triangle is,
[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]
[tex]A = 15 \text{ square cm}[/tex]
In a rectangle;
Length = 6 cm
Width = w cm
So, the area of a rectangle,
[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]
Since the triangle and the rectangle have the same area.
So, equate both the area of the triangle and rectangle,
[tex]6 \times w = 15[/tex]
Divide both sides by 6,
[tex]w = \dfrac{15}{6}[/tex]
[tex]w = 2.5 \text{ cm}[/tex]
So, the value of w is 2.5 cm
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which system or equation is represented in the graph?
(A) y=-2
x-2y=6
(B) y=-2
x+2y=6
(C) y=-2
2×-y=3
(D) y=-2
2×+y=-3
Answer:
[tex] (A)\displaystyle \begin{array} {ccc} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{array} [/tex]
Step-by-step explanation:
Equation of the blue line:since the line is horizontal and passes -2 the equation of the blue line should be
[tex] \displaystyle \large y = - 2[/tex]
Equation of the red line:remember The form of equation of a line
[tex] \displaystyle \boxed{ \displaystyle y = mx + b}[/tex]
where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3
to figure out m we can consider the following formula:
[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]
from the graph we acquire ∆y=1 and ∆x=2
thus substitute:
[tex] \displaystyle m = \frac{ 1}{ 2} [/tex]
so we have figured out m and b
therefore our equation of blue line is
[tex] \displaystyle y = \frac{1}{2} x - 3[/tex]
our given options are in standard form so
move -3 to left hand side and change its sign:
[tex] \displaystyle y + 3= \frac{1}{2} x [/tex]
cross multiplication:
[tex] \displaystyle 2y + 6= x[/tex]
move 6 to right hand side and x to left hand side and change its sign
[tex] \displaystyle - x + 2y = - 6[/tex]
multiply both sides by -1:
[tex] \displaystyle x - 2y = 6[/tex]
hence, our system of linear equation is
[tex] \displaystyle \begin{cases} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{cases}[/tex]
If x - 12y= -210 and x -6y=90, then x=
Answer: x = -30
Step-by-step explanation:
y = -20 by using process of elimination substitute y as -20 in either of the equations you get -30 for x
The solution to the system of equations is x = 390 and y = 50. The value of x is equal to 390.
To find the value of x, solve the system of equations using the method of substitution . Let's use the method of elimination:
Given equations:
x - 12y = -210 (1)
x - 6y = 90 (2)
To eliminate x, we can subtract equation 2 from equation 1:
(x - 12y) - (x - 6y) = (-210) - 90
Simplifying the equation:
x - 12y - x + 6y = -210 - 90
-6y = -300
Divide both sides of the equation by -6:
y = -300 / -6
y = 50
Now, substitute the value of y back into either equation:
x - 6(50) = 90
Simplify the equation:
x - 300 = 90
Add 300 to both sides of the equation:
x = 90 + 300
x = 390
Therefore, the solution to the system of equations is x = 390 and y = 50.
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What is the arc measure of major arc ADE in degrees?
The average height of Sally, Jackson, Tina and David is 150 cm per
person. The average height of Sally, Jackson and Tina is 145 cm per
person. Tina is 5 cm taller than David. Jackson is 4/5 as tall as
David. How tall is Sally? (in centimeters)
Answer:
129 cm
Step-by-step explanation:
The total height of all the people: 150 × 4 = 600 cm
The total height of Sally, Jackson and Tina: 145 × 3 = 435 cm
David’s height: 600 – 435 = 165 cm
Tina’s height: 165 + 5 = 170 cm
Jackson’s height: 170 × 4/5 = 136 cm
Therefore, Sally’s height: 600 – 165 – 170 – 136 = 129 cm
Thenks and mark me brainliest :))
The height of Sally will be 133 centimeters and the height of Jackson is 132cm.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The average height of Sally, Jackson, Tina, and David is 150 cm per person. Then the equation is given as,
(S + J + T + D) / 4 = 150
S + J + T + D = 600 ...1
The average height of Sally, Jackson, and Tina is 145 cm per person. Then the equation will be
(S + J + T) / 3 = 145
S + J + T = 435 ...2
Tina is 5 cm taller than David. Then the equation will be
T = D + 5 ...3
Jackson is 4/5 as tall as David. Then the equation will be
J = (4/5)D ...4
From equations, 1 and 2, then we have
435 + D = 600
D = 165 cm
From equation 4, then we have
J = (4/5) x 165
J = 132 cm
From equation 3, then we have
T = 165 + 5
T = 170 cm
From equation 2, then we have
S + 132 + 170 = 435
S = 133 cm
The height of Sally will be 133 centimeters.
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The table below show the approximate population of Virginia for 5 years. What is the
equation of the line of best fit?
Answer:
Y = 0.09X1 - 167.40
Step-by-step explanation:
Year (X) : 2000, 2004, 2006, 2007, 20008
Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77
Using technology, the regression model obtained is :
Y = 0.09X1 - 167.40
With a slope of 0.09 and intercept of - 167.40
A pyramid is 24 feet tall a scaled model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model.
Multiple Choice Answers:
1/12
1/24
12
24
Answer:
1/12
Step-by-step explanation:
Given the following :
Actual height of pyramid = 24 ft
Dimension of scaled model :
Height = 2ft ; width = 1ft
a scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.
Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.
(Height of scaled model / height of actual pyramid)
(2ft / 24ft) = 1/12
Find the value of x and y
x = 45° , y = 45°
x = 117° , y = 117°
x = 27° , y = 63°
x = 63° , y = 27°
Step-by-step explanation:
X=63 and Y=27 is the correct answer.
You’re purchasing a new television with a 32” screen. The 32” measurement represents the diagonal measurement of the screen. You remember the height at the store was 16”. What is the width of the TV
Answer:
27.7"
Step-by-step explanation:
use the pythagorean theorem
a² + b² = c²
a² + 16² = 32²
a² + 256 = 1,024
subtract 256 from both sides
a² = 768
Take the square root of both sides
a = 27.7128129211
a = 27.7"