Answer:
Step-by-step explanation:
AREA: 42 cm^2
h = 14 cm
area of a triangle formula:
[tex]\frac{height * base}{2} \\\frac{14 * base}{2} = 42[/tex]
(14)(base) = 42 * 2
(14)(base) /14 = 84 /14
base = 6 cm
A rectangular prism has a length of 3 inches, a width of 5 inches, and a height of 7 inches.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
in.³
Answer:
105³
Step-by-step explanation:
3x5=15
15x7=105
105 is your answer.
what is the equation of the line that passes through each pair of points for (-2,3) (3,-2)
Answer:
y = -x + 1
example:
(-2, 3)
y = -(-2) + 1
y = 2 + 1
y = 3
Answer:
y = -x + 1
Step-by-step explanation:
slope = (y2-y1)/(x2-x1) = (-2-3)/(3-(-2)) = -5/5 = -1
y-int: y=mx+b --> plug in a point --> 3 = (-1)(-2)+b --> b=1
y = -x + 1
IDENTIFY THE PROPERTY WHICH JUSTIFIES THE FOLLOWING CONCLUSION
A. REFLECTIVE PROPERTY
B. ADDITION PROPERTY OF EQUALITY
C. SYMMETRIC PROPERTY
D. MULTIPLICATION PROPERTY OF EQUALITY
1. If ×=4, then × + 2=7
....__.....__
2.AB = AB
3. If × = y, Then 2× = 2y
4. If 9 = 6+3, then 6+3 =9
Please answer correctly do not concentrate wrong and rely only on the pontos:)
Answer:
Step-by-step explanation:
17) B. They are adding 2 to both sides.
18) A. A segment is equal to itself.
19) D. They are multiplying both sides by 2.
20) C. They are simply swapping the left and right hand sides of the equation
-
Use inverse operations to write the inverse of f(x) = x +
3/2
Answer:
I believe the correct answer is f^-1 (x) = x - 3/2
9x+3=14give your answer as an improper fraction in its simplest form
Answer:
11/9
Step-by-step explanation:
Find the area of the regular polygon. Give the answer to the nearest tenth.
Square with a radius of 13 m.
Answer:
338 m^2
Hope this helps!
If this helps please show your thanks by marking brainliest ;)
A cone-shaped lampshade has a height of 18 cm and a slant height of 19.5 cm. Find the lateral surface area of the lampshade.
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{19.5^2-18^2}=r\implies \sqrt{56.25}=r \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=\sqrt{56.25} \end{cases}\implies \begin{array}{llll} LA=\pi \sqrt{56.25}\stackrel{slant~height}{(19.5)} \\\\\\ LA\approx 459.46~cm^2 \end{array}[/tex]
Henry found some pants on sale for 60% off. If the pants were originally $100, how much are they now?
Answer:
$40
Step-by-step explanation:
Old Sale Price = $100
It was given 60% discount
60% of 100 = 0.6 x 100 = 60
we remove the discount from the original price( 100 -60 ) = 40.
So the new sale price for the pants are now $40
what fraction gives you an answer of 11/12
Hi there! The fraction that gives you 11/12 is 44/ 48.
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Hope this helps you!
In Zoe's grade, there are 90 students. Currently, 90% of them are enrolled in health. How many students are enrolled in health?
Answer: 81
Step-by-step explanation:
90% is the same as 0.9
We can multiply .9 by 90 to see how many students are enrolled in health
0.9×90=81.0
Answer:
[tex]\huge\boxed{\sf 81\ students }[/tex]
Step-by-step explanation:
Total students = 90
Enrolled in health:
= 90 % of 90
[Key: "of" means "to multiply" and "%" means "out of hundred"]
[tex]\displaystyle = \frac{90}{100} \times 90\\\\= 9 \times 9\\\\= 81[/tex]
So, 81 students are enrolled in health.
[tex]\rule[225]{225}{2}[/tex]
Four beakers contain water as shown below.
Which two beakers of water can be combined to fill one beaker to exactly 1,000 mL?
beaker B and beaker C
beaker B and beaker C
beaker A and beaker C
beaker A and beaker C
beaker A and beaker B
beaker A and beaker B
beaker A and beaker D
beaker A and beaker D
Answer:
A&C
Step-by-step explanation:
It would be A because it has 750 mL and C because it has 250mL and 750+250=1000
Also can you mark brainlyist you dont have to
Find the geometric mean of 3 and 13. Show work
Answer:
b
Step-by-step explanation:
a/b=c/d
ad=bc
3/x=x/13
3*13=x*x
√39=√x2
6.244997998398=x
What is the value of x?
Answer:
30 degrees
Step-by-step explanation:
because if its 60 at the bottom and 30 on the left it only makes sense that it would be 30 on the right.
Also can you mark brainlyest you dont have to thoe
solve for x. -5 + 5x = -(1 - 6x)
- 5 + 5x = - 1 + 6x
- 5 + 5 + 5x = - 1 + 5 + 6x
5x = 4 + 6x
5x - 6x = 6x - 6x + 4
- x = 4
x = - 4
Answer:
The answer is that x = -4.
Step-by-step explanation:
You first take away the parenthesis so it would look like this: -5+5x=-1+6x
Then, you add 5 to both sides of the problem: -5+5x+5=-1+6x+5
Then, you simplify it down: 5x=6x+4
You then subtract 6x from each side: 5x-6x=6x+4-6x
Then simplify again: -x=4
Then, divide both sides by -1: -x/-1 = 4/-1
Then simplify to get x = -4.
Which shapes have two pairs of parallel sides
Answer:
a rhombus would have 2 pairs of parallel sides, or a parallelogram. (First image is parallelogram and second is rhombus)
Maura is jogging on her treadmill. She runs 2.25 miles in
1
2
of an hour. At that speed, how many miles could Maura run in 1
1
2
hours?
Answer:
6.75 miles
Step-by-step explanation:
Since it is 2.25 per 1/2 hour to get to 1 1/2 hour you multiply by 3. Then you do 2.25 times 3 and it gives you 6.75 miles.
hope that helps
Answer:
6.75 miles
Step-by-step explanation:
How many 1/2 hours in 1 1/2 hour? 1.5 ÷ 0.5 = 3
2.25 x 3 = 6.75
OR
Find the unit rate = 2.25 x 2 = 4.50 (we multiply it by 2 because there 2 half hours in an hour)
4.50 x 1.50 = 6.75
You are deciding between First National Bank and Liberty Bank. They both offer checking and savings accounts. First National charges a $10 fee to receive checks and charges $2.50 per ATM transaction. Liberty Bank has no check fee but charges $3.25 per ATM transaction. How many times do you need to be charged an ATM fee before you are paying the same amount of money in fees at both banks?
Step 1: Define your variables - Look at the question statement. What are you being asked to find?
Step 2: Write 2 equations that use those unknown variables
Step 3: Solve the system of equations
Step 4: State your solution. What does it mean in the context of the word problem?
Suppose a ferris wheel is moving at a constant rate of 8 inches per second. if the diameter of the wheel is 60 feet, how long will it take the ferris wheel to make a complete revolution ?
Answer: If you want you can put 480 seconds or 8 minutes.
480 seconds = 8 minutes
Step-by-step explanation:
8 inches multiply by 60 feet
A company has an opportunity to bid on three contracts. determine which would be the best investment given the information in the table below. probability of profit and loss by contract contract profit, probability of profit probability to break even loss, probability of loss southeast $45,000, 50% 30% $6,000, 20% southwest $60,000, 35% 40% $10,000, 25% california $112,000, 20% 40% $40,000, 40% southeast southwest california all contracts include a probability for loss.
The best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A company has an opportunity to bid on three contracts. Probability of profit and loss by all three contract is listed in the table below.
Contract profit, (P)* of profit, (P)* to break even loss, (P)* of loss
Southeast $45,000, 50% 30% $6,000, 20% Southwest $60,000, 35% 40% $10,000, 25% California $112,000, 20% 40% $40,000, 40%The company which will give the maximum profit probability and minimum loss probability will be the best investment.
In the above table, the southeast contract has the maximum probability of profit, which is 50% among all the contracts. Similarly, it has the lowest probability of loss, which is 20%.
Thus, the best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.
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Answer:
It's A. Southeast
Step-by-step explanation:
Two sides of a parallelogram are 110 feet and 850 feet. The measure of the angle between these sides is 157 Find the area of the parallelogram to the nearest square foot.
Answer: 36533
Step-by-step explanation:
if f(x)=2x^2-3x+4, find f(x+3)
Step-by-step explanation:
well, the approach is totally simple : we use (x+3) everywhere where we have "x" in the function expression.
so,
f(x+3) = 2(x+3)² - 3(x+3) + 4 =
= 2(x² + 6x + 9) - 3x - 9 + 4 =
= 2x² + 12x + 18 - 3x - 9 + 4 =
= 2x² + 9x + 13
? need in a day or 2 please! Is worth 23 points and brainiest!
Answer:
60 feet
Step-by-step explanation:
The easiest way to do this is to go answer by answer with the triangle area formula :)
Formula: A=hb/2
H = height
B: base
Now lets solve this :)
Choice 1: 50 feet
50 x 20 = 1000
1000/2 = 500
Choice 2: 40 feet
Since 40 feet is smaller than the 50, we know this will not be correct :)
Choice 3: 120 feet
120 x 20 = 2400
2400/2 = 1200
Choice 4: 60 feet
60 x 20 = 1200
1200/2 = 600
The correct answer is 4, 60 feet :)
Have an amazing day!!
Please rate and mark brainliest!!
need help with this one its "Find the slope of the line y = 7x + 9/16" please help
Answer:
slope = 7
Step-by-step explanation:
Slope-intercept form of a linear equation: y = mx + b
(where m is the slope, and b is the y-intercept)
Therefore, for the equation: y = 7x + 9/16
Slope = 7y-intercept = 9/16I need help
Imagine that you designed a firework. When the firework first explodes, it splits into eight sparkles. Each of those sparkles then explodes and splits into eight new sparkles.
How many sparkles would the second explosion produce? Explain how you determined your answer.
Answer:
8 x 8 = 64
Step-by-step explanation:
Just including the second explosion, each of the 8 sparks bursts into 8, that means 8 sparks were produced 8 times, or 8x8
Answer:
1 sparkle Burst it produces 8 sparkles so you say 8×8×8×8×8×8×8×8
Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town. He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below. According to this information, what would be the best estimate for Sam to quote as expected profits in the next year in his new business plan? Business Year Net Profit 1 $43,502. 25 2 $47,417. 45 3 $51,685. 02 4 $56,336. 68 5 $61,406. 98 a. $66,477. 28 b. $66,933. 60 c. $72,003. 91 d. $72,957. 63.
Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.
What is net profit?Net profit is the amount of a business earn after deducting all the expenditure over it.
Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town.
He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below.
Business Year Net Profit 1 $43,502.25 2 $47,417.45 3 $51,685.02 4 $56,336.68 5 $61,406.98Using the regression graph, the quadratic equation we get for this data as,
[tex]y=192.4493x^2+3318.1733x+39998.214[/tex]
For the 6 year value,
[tex]y=192.4493(6)^2+3318.1733(6)+39998.214\\y\approx 66835.43[/tex]
This value is much near to the option b which is $66,933.60.
Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.
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differentiate the following with respect to x
irrelevant answers will be reported
Answer:
[tex]\displaystyle y' = - \frac{e^{x^2 + 7} \sqrt{\csc 5x} \Bigg[ \bigg[ 5 \cot (5x) - 4x \bigg] \sin (3x + 4) - 6 \cos (3x + 4) \Bigg] }{2}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]:
[tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]:
[tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]:
[tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative Rule [Chain Rule]:
[tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle y = e^{x^2 + 7} \sin (3x + 4) \sqrt{\csc (5x)}[/tex]
Step 2: Differentiate
Apply Derivative Rule [Product Rule]:∴ we have found the derivative of the function.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
To find the derivative of the function [tex]\displaystyle\sf\:y=e^{x^{2}+7}\sin(3x+4)\sqrt{\csc(5x)}}[/tex] with respect to [tex]\displaystyle\sf x[/tex], we'll use the chain rule and product rule.
Let's break down the function into its individual parts:
[tex]\displaystyle\sf u= e^{x^{2}+7}[/tex]
[tex]\displaystyle\sf v= \sin(3x+4)[/tex]
[tex]\displaystyle\sf w= \sqrt{\csc(5x)}}[/tex]
Now, let's differentiate each part separately:
Using the chain rule, the derivative of [tex]\displaystyle\sf u= e^{x^{2}+7}[/tex] is:
[tex]\displaystyle\sf \dfrac{du}{dx}= (2x)e^{x^{2}+7}[/tex]
Using the chain rule, the derivative of [tex]\displaystyle\sf v= \sin(3x+4)[/tex] is:
[tex]\displaystyle\sf \dfrac{dv}{dx}= 3\cos(3x+4)[/tex]
To differentiate [tex]\displaystyle\sf w= \sqrt{\csc(5x)}}[/tex], we can rewrite it as [tex]\displaystyle\sf w= (\csc(5x))^{1/2}[/tex]. Using the chain rule, the derivative of [tex]\displaystyle\sf w[/tex] is:
[tex]\displaystyle\sf \dfrac{dw}{dx}= \dfrac{1}{2}(\csc(5x))^{-1/2}(-\cot(5x))(5)[/tex]
Simplifying the derivative [tex]\displaystyle\sf \dfrac{dw}{dx}[/tex]:
[tex]\displaystyle\sf \dfrac{dw}{dx}= -\dfrac{5\cot(5x)}{2\sqrt{\csc(5x)}}[/tex]
Now, using the product rule, the derivative of [tex]\displaystyle\sf y[/tex] with respect to [tex]\displaystyle\sf x[/tex] can be calculated as follows:
[tex]\displaystyle\sf \dfrac{dy}{dx}= \dfrac{du}{dx} \cdot v \cdot w + u \cdot \dfrac{dv}{dx} \cdot w + u \cdot v \cdot \dfrac{dw}{dx}[/tex]
Substituting the values of [tex]\displaystyle\sf \dfrac{du}{dx}[/tex], [tex]\displaystyle\sf \dfrac{dv}{dx}[/tex], and [tex]\displaystyle\sf \dfrac{dw}{dx}[/tex]:
[tex]\displaystyle\sf \dfrac{dy}{dx}= \left((2x)e^{x^{2}+7}\right) \cdot \sin(3x+4) \cdot \sqrt{\csc(5x)} + e^{x^{2}+7} \cdot \left(3\cos(3x+4)\right) \cdot \sqrt{\csc(5x)} - e^{x^{2}+7} \cdot \sin(3x+4) \cdot \dfrac{5\cot(5x)}{2\sqrt{\csc(5x)}}[/tex]
Simplifying further:
[tex]\displaystyle\sf \dfrac{dy}{dx}= \left(2xe^{x^{2}+7}\right) \sin(3x+4) \sqrt{\csc(5x)} + 3e^{x^{2}+7}\cos(3x+4) \sqrt{\csc(5x)} - \dfrac{5e^{x^{2}+7} \sin(3x+4) \cot(5x)}{2\sqrt{\csc(5x)}}[/tex]
Therefore, the derivative of [tex]\displaystyle\sf y[/tex] with respect to [tex]\displaystyle\sf x[/tex] is:
[tex]\displaystyle\sf y' = -2e^{x^{2}+7}\csc(5x)[5\cot(5x)-4x]\sin(3x+4) - 3e^{x^{2}+7}\sqrt{\csc(5x)}\cos(3x+4) - \dfrac{5e^{x^{2}+7}\sin(3x+4)\cot(5x)}{2\sqrt{\csc(5x)}}[/tex]
Simplifying further, we have:
[tex]\displaystyle\sf y' = -2e^{x^{2}+7}\csc(5x)[5\cot(5x)-4x \sin(3x+4) - 6e^{x^{2}+7}\cos(3x+4)\sqrt{\csc(5x)}[/tex]
Therefore, the derivative of [tex]\displaystyle\sf y[/tex] with respect to [tex]\displaystyle\sf x[/tex] is:
[tex]\displaystyle\sf y' = -2e^{x^{2}+7}\csc(5x)[5\cot(5x)-4x]\sin(3x+4) - 6e^{x^{2}+7}\cos(3x+4)\sqrt{\csc(5x)}[/tex]
[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]
♥️ [tex]\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]
Brandon paid $70 for 20 gallons of
gasoline. How much did he pay per
gallon?
Answer:
$3.50
Step-by-step explanation:
For this question, you just take the price paid and divide it by the number of gallons. In this case, you get $3.50 per gallon.
Problem 2
What is the probability of pulling a heart, replacing it, pulling a club, replacing it, pulling a diamond,
replacing it, then pulling a spade, all from a standard deck?.
Answer:
subtract one for heart drawn without replacement leaves 51 cards on which thirteen are clubs. probability of drawing club 13/51. After drawing a heart as first card there are 51 cards left and 13 of them are clubs. So the probability on drawing a club then equals 13/51
Help plsss 60 points
Step-by-step explanation:
please mark me as brainlest
Answer:
a) 5, -3, -4, 0
b) Curve B
Step-by-step explanation:
Given equation:
[tex]y=x^2-4x[/tex]
Inputting the values of x into the equation to find the missing values of y:
[tex]x=-1 \implies y=(-1)^2-4(-1)=5[/tex]
[tex]x=1 \implies y=(1)^2-4(1)=-3[/tex]
[tex]x=2 \implies y=(2)^2-4(2)=-4[/tex]
[tex]x=4 \implies y=(4)^2-4(4)=0[/tex]
[tex]\large\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} x & -1 & 0 & 1 & 2 & 3 & 4 & 5\\\cline{1-8} y & 5 & 0 & -3 & -4 & -3 & 0& 5\\\cline{1-8}\end{array}[/tex]
According to the table:
y-intercept of the curve = (0, 0)x-intercept of the curve = (4, 0)Therefore, Curve B matches the graph of [tex]y=x^2-4x[/tex]
What is the total area of the three triangles? 12.5 square units 13 square units 13.5 square units 14 square units
The area of the considered 3 triangles is given by: Option B: 13 sq. units.
How to find the area of a triangle whose vertices' coordinates are given?Suppose the vertices of the considered triangle ABC are on [tex]A(A_x,A_y), B(B_x,B_y), C(C_x,C_y)[/tex], then, the area of the triangle is given by:
[tex]Area = \dfrac{|A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y)|}{2}[/tex]
For this case, the missing image is attached below.
The second and third triangle are easy as their base and height are parallel to x or y axis.
We will find area of third triangle by coordinates of its vertices.
Getting area of first triangle:
Coordinates of A : (4,10)Coordinates of B : (5,7)Coordinates of C : (7,8)Thus, we get:
[tex]Area_{ABC} = \dfrac{|4(7-8) + 5(8-10) + 7(10-7)|}{2} = \dfrac{7}{2} = 3.5 \: \rm unit^2[/tex]
Area of second triangle = [tex]\dfrac{|RS| \times h}{2}[/tex]base, and h is the perpendicular line connecting from line RS and the vertex T
From figure we see:
|RS| = 3 units, h = 3 units
Thus, area of second triangle = [tex]3 \times 3 /2 = 4.5 \: \rm unit^2[/tex]
Area of third triangle = [tex]\dfrac{|XY| \times h}{2}[/tex] where XY is base, and h is the perpendicular line connecting from line XY and the vertex Z
From figure we see:
|XY| = 5 units, h = 2 units
Thus, Area of third triangle = [tex]5 \times 2 /2 = 5 \: \rm unit^2[/tex]
Total area = 3.5 + 4.5 + 5 = 13 sq. units
Thus, the area of the considered 3 triangles is given by: Option B: 13 sq. units.
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Answer:
13
Step-by-step explanation: