Answer: There are 14 calculators in total
Step-by-step explanation:
Use the Pythagorean Theorem to find the whole number estimate of the unknown side of the right triangle shown below.
A:3
B 10
C 9
D 4
Answer:
Option C.Step-by-step explanation:
This is Right Angled Triangle.So,
We'll solve this using the Pythagorean Theorem.
Let
6cm be BC, where BC is the perpendicular.7cm be AB, where AB is the Base. AC be the Hypotenuse.We know that,
[tex]{ \longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }[/tex]
[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = (7) {}^{2} +( 6) {}^{2} }[/tex]
[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = 49 +36 }[/tex]
[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = 85 }[/tex]
[tex]{ \longrightarrow \sf \qquad AC = \sqrt{85} }[/tex]
[tex]{ \longrightarrow \sf \qquad AC \approx 9.21 }[/tex]
⠀
Therefore,
The length of the unknown side is 9 cm. (Estimated)Damon plotted a point on the grid. He says that the first number of the ordered pair is negative and the second number of the ordered pair is positive. Based upon this information, which of the points below could be Damon's?
A. H
B. J
C. K
D. L
Answer:
A) H you have to run before you can climb is what my teacher told me when looking at a graph so when reading the problem you have to run left for negative then climb for positive leaving the answer being a) h
Can anyone help me on this?
Answer:
A
Step-by-step explanation:
We know that this is the same as substituting a for x and multiplying the entire expression by -1.
[tex]f(a) = \frac{2a}{a - 1} [/tex]
[tex] - f(a) = \frac{ - 2a}{a + 1} [/tex]
Brainliest if correct
Answer:
22/24 or 11/12
Step-by-step explanation:
Answer:
9/12, 2/12, 11/12
Step-by-step explanation:
The lowest common denominator of 3/4 and 1/6 is 12.
3/4 * 3/3 = 9/12
1/6 * 2/2 = 2/12
Now that both of the fractions have the same denominator, we can add them.
9/12 + 2/12 = 11/12
I hope this helps! Have a lovely day! :)
please help me please
Answer:
See below.
Step-by-step explanation:
1. 3 * 15 + 4 * 15 - 5 * 15
45 + 60 - 75
105 - 75
30
2. 3x + 4x - 5x
7x - 5x
2x
3. 3(x-2) + 4(x-2) - 5(x-2)
3x - 6 + 4x - 8 - 5x + 10
2x - 4
4. (I'm not typing that out)
7.5x + 19.5 + 10x + 26 - 12.5x - 32.5
5x+13
-hope it helps
Which expression is equivalent to 2x + 4(x + 1)?
3x + 1
3x + 4
6x + 1
6x + 4
Step-by-step explanation:
2x + 4(x + 1) = 2x + 4x + 4 = 6x + 4
Answer:
[tex]6x+4[/tex]
Step-by-step explanation:
[tex]2x+4\left(x+1\right)[/tex]
[tex]Expand\;4(x+1):4x+4[/tex]
[tex]=2x+4x+4[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:2x+4x=6x[/tex]
[tex]=6x+4[/tex]
Hence, 6x+4 expression is equivalent to 2x+4(x+1)
~Lenvy~
–5.4(–0.7 + u) =
What is the answer?
Answer:
u = 7\/10
Step-by-step explanation:
Find the value of:
a) 8
9
×
−3
4
Step-by-step explanation:
89 multiplied by negative 34 gives a negative answer, since positive multiplied by negative is negative hence,
(89) × (-34) = -3026
(a-b+c)-(c+b)
I literally tried so many times i dont get it
Answer:
a - 2b
Step-by-step explanation:
❖ Step 1: Distributive negative sign.
[tex](a-b+c)+(-1)(c)+(-1)(b)[/tex] [tex]a-b+c-c-b[/tex]❖ Step 2: Combine like terms.
[tex](a)+(-b-b)+(c-c)[/tex] [tex]a-2b[/tex]Therefore, the answer is a - 2b.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
a-2b
Step-by-step explanation:
(a-b+c)-(c+b)
Distribute the minus sign to the terms in the second parenthesis
a-b+c-c-b
Combine like terms
a-b+c-c-b
a-b-b+c-c
Cancel like terms
a-2b
*URGENT*
Find the Equation of the line that contains the point (-2,-8) and is parallel to the line 6x + 5y = 11. Write the equation in slope-intercept form.
Point :
Parallel lines have same slopes.
_________________________________
[tex]6x + 5y = 11[/tex]
Subtract sides -6x
[tex] - 6x + 6x + 5y = - 6x + 11[/tex]
[tex]5y = - 6x + 11[/tex]
Divided sides by 5
[tex] \frac{5}{5}y = \frac{ - 6}{5}x + \frac{11}{5} \\ [/tex]
[tex]y = - \frac{6}{5}x + \frac{11}{5} \\ [/tex]
Look :
This is the slope-intercept of the given line. We know that the coefficient of x is the slope of the linear functions in slope-intercept form.
Thus the slope of the line which we want is :
[tex]slope = - \frac{6}{5} \\ [/tex]
_________________________________
We have following equation to find the point-slope form of the linear functions.
[tex]y - y(given \: point) = (slope) \times (x - x(g \: p) \: ) \\ [/tex]
Now just need to put the slope and the coordinates in the above equation.
[tex]y - ( - 8) = - \frac{6}{5} \times (x - ( - 2) \: ) \\ [/tex]
[tex]y + 8 = - \frac{6}{5}(x + 2) \\ [/tex]
To find the slope-intercept form of the above equation we need to take the y alone and then simplifies the equation.
Look :
[tex]y + 8 = - \frac{6}{5}x - \frac{12}{5} \\ [/tex]
Subtract sides by -8
[tex]y + 8 - 8 = - \frac{6}{5}x - \frac{12}{5} - 8 \\ [/tex]
[tex]y = - \frac{6}{5}x - \frac{12}{5} - \frac{40}{5} \\ [/tex]
[tex]y = - \frac{6}{5}x - \frac{52}{5} \\ [/tex]
This is what we want...
_________________________________
Now we must Check the equation by using the given point :
[tex]( - 8) = - \frac{6}{5}( - 2) - \frac{52}{5} \\ [/tex]
[tex] - 8 = \frac{12}{5} - \frac{52}{5} \\ [/tex]
[tex] - 8 = \frac{ - 52 + 12}{5} \\ [/tex]
[tex] - 8 = \frac{ - 40}{5} \\ [/tex]
[tex] - 8 = - 8[/tex]
So the equation is right.
_________________________________
And we're done.♥️♥️♥️♥️♥️
Solve for x.
A) 5
B) 3
C) 4
D) 6
Answer:
d
Step-by-step explanation:
divide
Answer:X=3
Step-by-step explanation:
one number is three times another number, and their sum is -10. what is the smaller of the two numbers?
Let the smaller number be x .
Then the larger number = 3x
Their sum = -10
This can be written in an equation as :-
[tex]x + 3x = - 10[/tex]
[tex]4x = - 10[/tex]
[tex]x = \frac{ - 10}{ \: \: \: 4} [/tex]
[tex]x = - 2.5[/tex]
Which means :-
The value of the first number = -2.5
The value of the second number = -2.5 × 3 = -7.5
Therefore , the smaller of the two numbers is = -7.5
Answer:
let a + b = -10
where a = 3b
substitute a into the equation: a + b = -10
3b + b = -10
b = -10 / 4
b = -2.5
a = 3b
a = 3(-2.5)
a = -7.5
check:
a + b = -10
-7.5 + (-2.5) = 10
-10 = 10
consider the graph
6
4
2
What is the midline? urte as an equation)
What is the period of the function?
What is the amplitude of the function?
What is the equation of the function? f(x)=
Help please
Answer:
[tex]\displaystyle \boxed{y = -3} \\ \boxed{\pi} \\ \boxed{N/A} \\ f(x) = \boxed{-2cot\:(x + \frac{\pi}{2}) - 3}[/tex]
Step-by-step explanation:
[tex]\displaystyle f(x) = Acot(Bx - C) + D \\ \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ \\ Vertical\:Shift \hookrightarrow -3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{2} \\ Amplitude \hookrightarrow N/A[/tex]
OR
[tex]\displaystyle f(x) = \boxed{2tan\:x - 3} \\ \\ f(x) = Atan(Bx - C) + D \\ \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ \\ Vertical\:Shift \hookrightarrow -3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{2} \\ Amplitude \hookrightarrow N/A[/tex]
Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Also, keep in mind that although this IS a tangent graph, if you plan on writing your equation as a function of cotangent, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle f(x) = 2cot\:x - 3,[/tex]in which you need to replase "tangent" with "cotangent", then figure the appropriate C-term out that will make the graph horisontally shift and map onto the tangent graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two graphs, we can tell that the cotangent graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]to the right, which means that in order to match the tangent graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1},[/tex]but we are NOT YET DONE. Although we shifted the graph back into position, remember, cotangent is graphed in REVERCE, so we need to insert a negative in front of the amplitude term, and with that, the cotangent graph of the tangent graph, accourding to the horisontal shift, is [tex]\displaystyle f(x) = -2cot\:(x + \frac{\pi}{2}) - 3.[/tex]Now, with all that being said, we can move forward. To find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, the vertical asymptotes are at [tex]\displaystyle -\frac{\pi}{2} = x\:and\:\frac{\pi}{2} = x.[/tex]From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{\pi} = \frac{\pi}{2} + \frac{\pi}{2}.[/tex]So, the period of this function is [tex]\displaystyle \pi.[/tex]Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = -3.[/tex]
Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.
I am delighted to assist you at any time.
Molly Ellen, bookkeeper for Keystone Company, forgot to send in the payroll taxes due on April 15. She sent the payment November 8. The IRS sent her a penalty charge of 10.80% simple interest on the unpaid taxes of $5,600. Calculate the penalty. (Remember that the government uses exact interest.) (Use Days in a year table) (Do not round intermediate calculations. Round your answer to the nearest cent.)
Answer:
$342.99Step-by-step explanation:
GivenPenalty charge = 10.80% simpleInterest amount = $5600Period = April 15 to November 8To findAmount of penaltySolutionFormula
Penalty = Interest amount*penalty charge*timeTime period
April 15 = 105November 8 = 322Difference = 322 - 105 = 207 daysCalculation of penalty
$5600*0.108*207/365 = $342.99*Suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds to 12 feet, then hits the floor and rebounds to 9.6 feet.
Write an explicit formula for the sequence.
Also, How high will the ball rebound after its fourth bounce?
Answer:
The explicit formula is [tex]a_n=15(\frac{4}{5})^{n-1}[/tex].
Step-by-step explanation:
First, we need to find the common ratio. We know this is a geometric sequence because the decrease from one term to the next is not a constant number.
To find the constant ratio, we can take the [tex]2^{nd}[/tex] term and divide by the [tex]1^{st}[/tex] term:
[tex]\frac{2nd}{1st}=\frac{12}{15}=\frac{4}{5}[/tex]
So, our common ratio is [tex]r=\frac{4}{5}[/tex].
We already know our initial term, [tex]a_0[/tex] is 15, so we get:
[tex]a_n=a_0(r)^{n-1}\\a_n=15(\frac{4}{5})^{n-1}[/tex]
Which statement correctly describes the expression (-60)(-5)?
A. One factor is positive and one factor is negative, so the product
will be positive.
B. Both factors are negative, so the product will be positive.
C. One factor is positive and one factor is negative, so the product
will be negative.
D. Both factors are negative, so the product will be negative.
Answer:
If you're multiplying then the answer would be B.
Step-by-step explanation:
If you multiply two negative numbers, your product would be positive.
If you multiply 1 positive and 1 negative then your product will be negative.
if CP of an item is Rs 7000, If SP of item is Rs 9100 Find the profit percentage.
Step-by-step explanation:
please mark me as brainlest
Find the volume of a rectangular prism with a base of area B=x^2+5x+4 in^2 and a height of h=x+3 in.
I will give Brainliest.
Please help
The volume of the rectangular prism is the amount of space in the prism
The volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches
How to determine the volume?The given parameters are:
Base area = x^2+5x+4
Height = x + 3
The volume is then calculated as:
Volume = Base area * Height
So, we have:
Volume = (x^2+5x+4) * (x + 3)
Expand
Volume = x^3+5x^2+4x + 3x^2+15x+12
Collect like terms
Volume = x^3+5x^2+ 3x^2+4x +15x+12
Evaluate the sum
Volume = x^3+8x^2+19x+12
Hence, the volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches
Read more about volumes at:
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Find the area (hint: find the value of x first)
Answer:
C. 128 in²
Step-by-step explanation:
We know that the opposite sides of rectangles are congruent, so 8 = 2x. If we divide 8 by 2 and 2x by 2, we get x = 4.
This means that the other side length, (3x + 4), equals 3(4) + 4 = 12 + 4 = 16 inchesNow, the area of a rectangle is l × w, where l = length and w = width. The dimensions of this rectangle are 8 and 16, so 8 × 16 = 128 in².
What does AB congruent symbol CD mean? AB and CD here have lines over them How is it different than AB=CD?
Answer:
Suppose that we have two line segments, AB and CD. We know that they have the same length.
I know that AB¯¯¯¯¯¯¯¯=CD¯¯¯¯¯¯¯¯ means AB is identical to CD (aka. They are the same lines), and also that AB¯¯¯¯¯¯¯¯≅CD¯¯¯¯¯¯¯¯ means that AB and CD have the same size, but what does AB=CD mean?
Step-by-step explanation:
pls i need help ASAP PLS
g(x)=8x. then g(x) isSingle choice.
Answer:
X=0
Step-by-step explanation:
Swap the side of the equation
8x=0 then divide both sides by eight
x=0
Write the ratio 4/5 over 7/5 in its simplest form! Need Answer ASAP
Answer:
[tex]\frac{4}7[/tex]
Step-by-step explanation:
Just as a reminder, to find the ratio of 2 numbers, you divide the first by the second, and to divide 2 fractions, you multiply the dividend by the reciprocal of the divisor.
In this case, that would be:
[tex]\frac{\frac{4}{5}}{\frac{7}{5}}[/tex]
[tex]= \frac{4}{5} \cdot\frac{5}{7}[/tex]
=[tex]\frac{4}7[/tex]
I hope this helped you.
Which set of coordinate pairs do NOT represent a linear function?
(-4, -12), (-3,-10), (-2, -8), (-1,-6)
O (-4, -17), (-3, -10), (-2,5), (-1,2)
O (1, -7), (2, -10), (3, -13), (4, -16)
O (1, 1), (2, 4), (3, 7), (4, 10)
Answer:
(-4, -17), (-3, -10), (-2,5), (-1,2)
Step-by-step explanation:
All the coordinates are represent linear function.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The coordinates are,
⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)
⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)
⇒ (1, -7), (2, -10), (3, -13), (4, -16)
⇒ (1, 1), (2, 4), (3, 7), (4, 10)
Now,
We know that;
A relation between a set of inputs having exactly one output each is called a linear function.
Clearly, All the coordinate have exactly one output for every input.
Learn more about the mathematical expression visit:
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helpoppppollpppppppppppppppppppppp
Answer:
Given:
1 mile = 1.6 km
So, to find how many miles are in 100 km, we need to divide 100km by 1.6km because one single mile contains 1.6km.
100km/1.6km = 62.5 miles
Find the length of the line below.
A. 2 in.
B. 2 3/16 in.
C. 2 5/16 in.
D. 3 in.
Answer:
A)
Step-by-step explanation:
Starting point is at o and ending point at 2.
So, 2 in
This figure represents a platform in an auditorium. The crew needs to paint it green. One gallon of paint will cover 40 square yards. How many full gallons of paint does the crew need to buy in order to paint the entire platform? Enter your answer in the box. gallons Complex solid composed of rectangular prisms in an L shape. The bottom face is labeled with a length of 7 yd and a width of 3 yd. The height of the shorter side of the L shape is labeled 2 yd. The height between the shorter side and taller side of the L shape is labeled 4 yd. The width of the taller section of the L shape is labeled 2 yd.
Step-by-step explanation:
1 yd = 3 ft
1 yd² = 2ft²
1 gallon covers: 15 · 9 = 135 ft²
955 : 135 ≈ 7.074 gal
7.1 gallons
# Jerry Don is here#
The quantity of paint required to paint the platform is 3 gallons.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.
Given that the attached figure represents a platform in an auditorium. The crew needs to paint it green. One gallon of paint will cover 40 square yards. One gallon of paint will cover 40 square yards.
The area of the platform is,
Area = (3x2) + 2 ( 7x 2 ) + ( 4 x 2 )2 + 3(6) + ( 5 x 3 ) + ( 4 x 3 ) + ( 2 x 3 ) + ( 7 x 3 )
Area = 6 + 28 + 16 + 18 + 15 + 12 + 6 + 21
Area = 122 square yards.
The quantity of paint required will be calculated as,
Q = 122 / 40
Q = 3 gallons
Therefore, the quantity of paint is 3 gallons.
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Find the value g(-2), where g is defined below.
g(x) = 2x^2- 4x – 4
Answer:
12
Step-by-step explanation:
For this question, simply plug in -2 for x:
[tex]g(-2)=2(-2)^2-4(-2)-4\\g(-2)=2(4)+8-4\\g(-2)=8+8-4\\g(-2)=12[/tex]
Hope this helps!!
Phoebe played in 14 games during the season. During this time, she scored
4 points in each of 5 games, 5 points in each of 2 games, 10 points in each of
3 games, 24 points in 1 game, and did not score in 3 games. What is the mean
number of points Phoebe scored per game?
Answer:
ok so first we have to find the total amount
4*5=20
5*2=10
10*3=30
24*1=24
0*3=0
now lets add up the total
20+10=30
30+24=74
104
then we have to divide by the amount of games to find the average or mean
104/14=7.43(aprox)
so she scores a average of about 7 points a game
Hope This Helps!!!
whats the distance between -17 and 12
Answer:
the answer is thirty three
Write a
compound inequality for the following scenario:
The scores on the last test ranged from 71% to 95%
Hurry up please
Answer: [tex]0.71 \le x \le 0.95[/tex]
Work Shown:
71% = 71/100 = 0.71
95% = 95/100 = 0.95
x represents the possible values of the scores. The compound inequality above shows that x is between 0.71 and 0.95, including both endpoints. Note the use of "or equal to" as part of each inequality sign.