Step-by-step explanation:
45X + 2000 = Y
Where X = Number of units
Y = Total Cost
The total cost of producing x units for which the fixed costs are $2500 and the cost per unit is $40 is T(x) = 40x + 2500.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The total cost of producing x units for which the fixed costs are $2500 and the cost per unit is $40.
Assuming total cost to be T.
∴ T(x) = 40x + 2500.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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Simplify: (2 cot(−240°)cos(-1050°)− cot^2(50°)) / (sec^2(40°))
Thanks! (:
Answer:
\frac{2\cot \left(-240^{\circ \:}\right)\cos \left(-1050^{\circ \:}\right)-\cot ^2\left(50^{\circ \:}\right)}{\sec ^2\left(40^{\circ \:}\right)}
Step-by-step explanation:
ok
there are 1600 students in school.47.5% are male.how many are female
Answer:
840 female students
Step-by-step explanation:
The total percentage of students is 100%, so, the percentage of female students = 100% - 47.5%
=52.5%
Multiply the total no. of students by the percentage to get the no. of female students.
1600 x 52.5%
= 840 female students
You can also obtain the same answer by first multiplying the male percentage to find the no. of male students, then subtracting it from the total 1600.
Mathematics IV
Nathan receives $28 each month for his allowance. If each month has approximately 4
weeks in it, how much money does he receive each week?
Answer:
$7
Step-by-step explanation:
So since he gets $28 in one month and there are 4 weeks in a month, -->
28/4 = 7 so, $7
The perimeter of the rectangle below is 74 units. Find the length of side RS
Write your answer without variables.
Answer:
20 units
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w)
P = 2( 3x+2 + 4x)
Adding like terms
P = 2( 7x+2)
We know the perimeter is 74 units
74 = 2 ( 7x+2)
Divide by 2
74/2 = 2/2 (7x+2)
37 = 7x+2
Subtract 2 from each side
37-2 = 7x+2-2
35 = 7x
Divide by 7
35/7 = 7x/7
5 =x
We want to find the length RS = PQ = 4x
RS = 4x = 4*5 = 20
Find the area of the shaded polygon
There’s no measurements, use square unit. One square is 1
Answer:
6 Units squared.
Look at file for explanation.
An outdoor hockey rink has dimensions of 8m long by 5m wide. The wood
surrounding the rink will allow ice to have a height of 20 cm. Calculate the volume
of ice needed to create this rink.
A glass has the shape of a perfect cylinder with a diameter of 8cm and a height of
13 cm. Calculate the surface area of the glass keeping in mind that the glass has
no lid. please show work and will Mark brainliest
Answer:
First question = 800 cm^3
Second question =120π
Step-by-step explanation:
The formula for volume is base x height x width.
The formula for area of cylinder is 2πrh+2πr^2 but it has no lid so
2πrh+πr^2.
Find the product of:additive inverse of−5/6, multiplicative inverse of 4/12 and reciprocal of 9/5.
Answer:
25/18
Step-by-step explanation:
Additive inverse of a number X is the number which when is added to X =0
ex: additive inverse of 2 is -2 since 2 +(-2)=0
Multiplicative inverse of a number N is the number which when multiplied by N gives 1
ex: multiplicative inverse of 6/7 is 7/6
6/7*7/6=1
Ex of reciprocal is
5/9 & 9/5
7/6 & 6/7
Additive inverse of -5/6=5/6
Multiplicative inverse of 4/12 is 12/4
Reciprocal of 9/5 is 5/9
(5/6)*(12/4)*(5/9)=25/18
Answer:
(5/6)*(12/4)*(5/9)=25/18
Step-by-step explanation:
help! Analyze the diagram below and complete the instructions that follow.
Answer:
a= 4[tex]\sqrt{6}[/tex]
b= 8[tex]\sqrt{2}[/tex]
c= 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
45-45-90 triangle
x - x - [tex]\sqrt{2}[/tex]
30-60-90 triangle
x - 2x - x[tex]\sqrt{3}[/tex]
which mathematical operation is represented in the phrase "15 more than q"
A) +
B) ×
C) ÷
D) -
Answer:
[tex]\boxed{OptionA}[/tex]
Step-by-step explanation:
More than always indicates "ADDITION". So the mathematical operation is "+".
Answer:
A. +
Step-by-step explanation:
The key word in the phrase is "more than"
That signifies an increase of value which is addition's main function
If the number that was represented in the phrase is x, then we could write out an equation
x=q+15
PLEASE HELPPP. Or explain what the question is even asking im so confused.
Step-by-step explanation:
f(x) = y
so f(4.999) = -5 when x = 4.999
f(5)= undefined because open circles means > or < with out the line underneath that means equal to
f(5.0001)= 7 when x=5.0001
f(9)= 7 when x=9 because the closed circle means ≥ or ≤ or equal to
Answer:
see attached
The function in the graph is:f(x)= -6, when x= [-9, 2)f(x)= -5, when x= [2, 5)f(x)= 7, when x= (5, 9]Therefore,f(4.999)= -5, f(5)= undefined,f(5, 0001)= 7,f(9)= 7Thuy is substituting t = 3 and t = 8 to determine if the two expressions are equivalent.
Answer:
The expressions are not equivalent.
Step-by-step explanation:
The answers would be 196 and 193 for t = 8
The answers would be 76 and 73 for t = 3
Suppose you pick and replace marbles from a bag, one after another. If the bag
contains 3 red marbles, 3 white marbles, and 6 blue marbles, what is the probability of
picking a red marble and then a blue marble?
Answer:
1/8
Step-by-step explanation:
There are 3 + 3 + 6 = 12 marbles in the bag and 12 * 12 = 144 ways to choose two marbles when replacing. There are 3 * 6 = 18 ways to choose a red marble and then a blue marble so the probability is 18 / 144 = 1 / 8.
NEED HELP ASAPPP!!! Drag each scenario to show whether the final result will be greater than the original
value, less than the original value, or the same as the original value.
1. A $30 increase followed by a $30 decrease
2. A 20% decrease followed by a 40% increase
3. A 100% increase followed by a 50% decrease
4. A 75% increase followed by a 33% decrease
5. 55% decrease followed by a 25% increase
Answer:
Greater than the original = 2, 4
Less than the original = 5
Same as the original = 1, 3
Step-by-step explanation:
Let the original value be x.
1. A $30 increase followed by a $30 decrease.
New value [tex]=x+30-30=x[/tex], it is same as original value.
2. A 20% decrease followed by a 40% increase.
Afer 20% decrease.
New value [tex]=x-\dfrac{20}{100}x=x-0.2x=0.8x[/tex]
Afer 40% increase.
New value [tex]=0.8x+\dfrac{40}{100}(0.8x)=0.8x+0.32x=1.12x[/tex], it is greater than original value.
Similarly check the other values.
3. A 100% increase followed by a 50% decrease.
New value [tex]=x+\dfrac{100}{100}x-\dfrac{50}{100}(x+x)=x[/tex], it is same as original value.
4. A 75% increase followed by a 33% decrease
New value [tex]=x+\dfrac{75}{100}x-\dfrac{33}{100}(x+0.75x)=1.1725x[/tex], it is greater than the original value.
5. 55% decrease followed by a 25% increase
New value [tex]=x-\dfrac{55}{100}x+\dfrac{25}{100}(x-0.55x)=0.5625x[/tex], it is less than the original value.
Therefore, Greater than the original = 2, 4, Less than the original = 5, Same as the original = 1, 3 .
A 100% increase followed by a 50% decrease
A $30 increase followed by a $30 decrease
Less Than The Original:55% decrease followed by a 25% increase
Greater Than The Original:A 20% decrease followed by a 40% increase
A 75% increase followed by a 33 1/3% decrease
Compare the two functions. [tex]f(x) = \frac{1}{50} (3)^x[/tex] [tex]g(x) = \frac{1}{5} x^{2}[/tex] Which statement is true?
Answer:
As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
Step-by-step explanation:
Hope this helps :)
PRE CALC, helppp please
Hey there! :)
Answer:
Choice B.
Step-by-step explanation:
Since h(x) equals (g o f)(x):
f(x) is substituted for x in the equation g(x). We can go through the answer choices and choose the most suitable choice by substitution:
A. f(x) = x, g(x) = x/ x + 1
(g o f)(x) = x / x + 1. This is incorrect.
B. f(x) = x², g(x) = x / x + 1
(g o f)(x) = x² / x² + 1. This matches h(x), so this is correct.
C. f(x) = x + 1, g(x) = 1/x²
(g o f)(x) = 1/(x² + 2x + 1). This is incorrect.
D. f(x) = x + 1, g(x) = x²
(g o f)(x) = x² + 2x + 1. This is incorrect.
Therefore, B is the correct answer.
What are the zeros of f(x) = x2 + x - 30?
O A. x= -6 and x = 5
B. x= -2 and x= 15
o
C. x= -5 and x = 6
D. x= -15 and x = 2
SS
Answer:
A
Step-by-step explanation:
The zeroes of the function are the x values when f(x) = 0 so we can write:
0 = x² + x - 30
0 = (x + 6)(x - 5) (To factor this we need to find 2 numbers that have a sum of 1 and a product of -30; these numbers are 6 and -5)
x + 6 = 0 or x - 5 = 0 (Use Zero Product Property)
x = -6, 5
Hey there! :)
Answer:
A. x = -6 and x = 5.
Step-by-step explanation:
Given:
f(x) = x² + x - 30
Factor the equation by finding two numbers that sum up to 1 and multiply into -30. We get:
-5, 6
Use these to express this quadratic function in factored form:
f(x) = (x - 5) (x + 6)
Set each factor equal to 0 to solve for the zeros of the equation:
0 = x - 5
x = 5
-------------
0 = x + 6
x = -6
Therefore, the correct answer is A. x = -6 and x = 5.
What is the factored form of 125a6-64?
Answer:
(5a^2-4)*(25a^4+20a^2+16)
Step-by-step explanation:
Answer:
Its B, (5a^2-4)(25a^4+20a^2+16)
Step-by-step explanation:
Edge 2020
*PLEASE ANSWER PLS N TY *
Which statement(s) are true about inscribed angles? Statement 1: The vertex of an inscribed angle lies on the circle. Statement 2: The sides of an inscribed angle are tangent lines to the circle. Statement 3: The sides of an inscribed angle are chords of a circle. Statement 4: The vertex of an inscribed angle lies outside a circle.
a.) 4 only
b.) 1 only
c.) 1 & 3 only
d.) 2 & 4 only
Answer:
1 & 3 only
Step-by-step explanation:
Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package. She planted 15 saplings and has at most 20 left. How many packages of saplings did she start with? What would the solution look like on a number line graph?
When Rita started, she had (blank)(at least 7, at most 7, at least 4, at most 4) packages of saplings. The solution can be represented as(blank)(an open circle, a closed circle) with an arrow to the (blank)(left, right).
Answer:
7 packages
Step-by-step explanation:
Total number of saplings = 15 + 20 = 35
Number of saplings per package = 5
Number of packages = Total saplings ÷ Number of saplings per package
= 35 ÷ 5
= 7
Answer:
7
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
the equation of the line in slope-intercept form is;
[tex]y=8x-26[/tex]
Step-by-step explanation:
First use the formula for the slope of the segment that joins the two given points:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{6-(-2)}{4-3}=\frac{8}{1} =8[/tex]
now that we have the slope, we can use the point-slope form of a line to find the line with slope 8 that passes through any of the given points, for example through (3, -2):
[tex]y-y_0=m\,(x-x_0)\\y-(-2)=8\,(x-3)\\y+2=8\,(x-3)\\y=8x-24-2\\y=8x-26[/tex]
Determine the approximate area of a sector with a central angle of 75° and a radius of 14 yards. Question 16 options: A) 9.2 yards2 B) 128.3 yards2 C) 40.8 yards2 D) 0.21 yards2
Answer:
B) 128.3 square yards
Step-by-step explanation:
A = (n/360 deg)(pi)r^2
where n = central angle of sector.
A = (75/360)(3.14159)(14 yd)^2
A = 128.3 yd^2
Answer:
B. 128.3 yards
Step-by-step explanation:
Area of a Sector Formula: A = ∅/360πr²
Simply plug in our variables:
A = 75/360(π)(14)²
A = 5π/24(196
A = 128.3
PLEASE HELP WITH THIS I WILL MARK EVERYONE THAT ANSWERS BRAINLY
Answer:
125.6 cubed inches
Step-by-step explanation:
1. 3.14(2)^2(10) - Multiply 3.14 with 2 squared and 10.
2. First find out what is 2 squared, which is 4. Then, multiply 4 with 3.14, which is 12.56.
3. Now, multiply 12.56 with 10 or just move the decimal point one place to the right, which gives you 125.6 cubed inches.
Evaluate the following when a=2 b=-3 and c=4:
5a -b2 +2c(a-b)
Select one:
a. 41
O b.-41
O c. 135
O d. 270
Answer:
A. 41
Step-by-step explanation:
5a - b² + 2c(a-b)
Put a = 2, b = -3, and c = 4.
5(2) - (-3)² + 2(4)(2-(-3))
Evaluate.
10 - 9 + 2(4)(2+3)
10 - 9 + 8(5)
10 - 9 + 40
1 + 40
= 41
Answer:
[tex]41[/tex]
Step-by-step explanation:
Given that,
[tex]a = 2 \\ b = - 3 \\ c = 4[/tex]
Let's solve now,
[tex]5a - {b}^{2} + 2c(a - b) \\ 5 \times 2 - ( { - 3}^{2} ) + 2 \times 4(2 - ( - 3)) \\ 10 - ( - 3 \times - 3) + 8(2 + 3) \\ 10 - 9 + 8 \times 5 \\ 10 - 9 + 40 \\ 1 + 40 \\ = 41[/tex]
URGENT HELP NEEDED! YOU WILL GET BRAINLIEST! Convert to a product: cot(α) - 1
Answer:
WHAT
Step-by-step explanation:
The points in a plane in a fixed distance from a given point
is called a circle. What is the fixed distance called?
a. chord
b. radius
c. diameter
d. not given
Answer:
radius
Step-by-step explanation:
That "fixed distance" is the 'radius' of the circle.
PLEASE HURRY
Quadrilateral ABCD is inscribed in OZ such that AB | DC and Find m
Answer:
41°
Step-by-step explanation:
First note that m arc BC = m∠BZC
The reason is because a central angle of a circle is always congruent to its
intercepted arc.
Also m∠BAC is one-half m arc BC, as the measure of an inscribed angle is half the measure of its intercepted arc.
Hence, the calculation is given below:
m∠BZC = 82°
m arc BC = m∠BZC
m arc BC = 82°
m∠BAC = 1/2 × 82°
m∠BAC = 41°
It is important to note that
∠DCA ≅ ∠BAC because alternate interior angles are congruent.
So m∠DCA = m∠BAC.
Therefore, m∠DCA = 41°.
plz help!!
will give the brainliest!!
Answer:
x = 3
Inverse matrix:
[tex]A^{-1} = \begin{pmatrix} \frac{1}{9} & \frac{2}{9} \\ \frac{1}{3} & -\frac{1}{3} \end{pmatrix} \quad[/tex]
Step-by-step explanation:
Determinant: ad - bc
a = 3, b = 2, c = 3, d = -1
3 * (-1) - (2 * x) = -9
-3 - 2x = -9
-2x = -6
x = 3
For matrix
[tex]A = \begin{pmatrix}a & b\\c & d\end{pmatrix} \quad[/tex]
the inverse is
[tex]A^{-1} = \dfrac{1}{ad - bc}\begin{pmatrix}d & -b \\-c & a\end{pmatrix}\quad[/tex]
Here we have: det = -9
a = 3, b = 2, c = 3, d = -1
Inverse matrix:
[tex]A^{-1} = \dfrac{1}{-9}\begin{pmatrix} -1 & -2 \\ -3 & 3 \end{pmatrix}\quad[/tex]
[tex]A^{-1} = \begin{pmatrix} \frac{-1}{-9} & \frac{-2}{-9} \\\frac{-3}{-9} & \frac{3}{-9}\end{pmatrix} \quad[/tex]
[tex]A^{-1} = \begin{pmatrix} \frac{1}{9} & \frac{2}{9} \\\frac{1}{3} & -\frac{1}{3}\end{pmatrix}\quad[/tex]
What is the slope of the line?
Answer:
5/3
Step-by-step explanation:
it should be y/x
you can count 5 up and 3 over
Answer:
8/5
Step-by-step explanation:
You can use the formula [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex] with a pair of points [tex](x_{1},y_{1})[/tex][tex](x_{2},y_{2})[/tex]. We can use points (1,4) and (-4,-4). Plugging in the equation we get (4-(-4))/(1-(-4)), which simplifies to 8/5, which is the slope.
5.
Find a solution to the following system of equations.
-2x + y = -3
- x + 2y = 3
(-21, -9).
(3, 3)
(0, 2)
Answer:
(3,3)
Step-by-step explanation:
I used a graphing tool to graph the two equations. The lines intercept at (3,3). Therefore, (3,3) would be a solution to the system of equations.
What equation could be used to find the missing leg length a in a right triangle with a hypotenuse of 60 and leg length of 51?
Answer:
Pythagorean Theorem: a² + b² = c² should be used.
Step-by-step explanation:
51² + b² = 60²
b² = 60² - 51²
b = 3√111
b = 31.607
Pythagorean Theorem is used to find any missing side of a right triangle if 2 other sides are present.
Answer:
Pythagoras theorem
EXPLANATION
HYPOTHENUS SQUARE =OPPOSITE SQUARE + ADJACENT SQUARE
i.e 60^2= 51^2+x^2
i.e 3600=2601+x^2
collecting like terms we have
3600-2601=x^2
999=x^2
√999=x
x=31.6