Answers
Answer:
256 in ^2
Step-by-step explanation:
The area of the base B = 12*5 = 60 in ^2
The height is 14 inches
The perimeter of the base is
2 ( l+w) =2 ( 12+5) = 2 ( 17) = 34
The surface area is = 2B + Ph = 2 * 60 + 34*4
= 120 + 136
=256
Related Questions
What is the value of
–8(17-12)
-2(8-(-2))
?
-4
-2
оооо
2
4
,
Answers
What is the start velocity of a javelin accelerated at 3.75 m/s2 for 2 seconds, and reaching 9375 m/s?
Answers
Answer:
Step-by-step explanation:
u = ?
a = 3.75m/s^2
t = 2 s
v = 9375m/s
a = v-u/t
3.75 = 9375 - u / 2
3.75 × 2 = 9375 - u
7.5 = 9375 - u
u = 9375 - 7.5
= 9367.5 m/s
Hope this helps
plz mark as brainliest!!!!!!!
Worker A could paint a whole room in 2 hours. Worker B could paint a whole room in 3 hours.
How many parts of the room could both of them paint in 1 hour if worker A and worker B worked together.
Answers
half of room because worker A can paint fast so he will paint fast
Answer:
5/6 of the room would be painted if both of them painted the room together in 1 hour
Step-by-step explanation:
Work done by A in 1hour=1/2
Work done by B in 1hour=1/3
Therefore total work done by both in 1hr=1/2+1/3
LCM of 2 and 3 is 6
therefore 1/2+1/3=3/6+2/6=5/6
HALPPPPP Let g(x) = 2x and h(x) = x2 + 4. Evaluate each expression: g(-2) + h(4)
Answers
16
Explanation
Functions are:
g(x) = 2x and h(x) = x2 + 4
To evaluate g(-2) substitute x = -2 into the function.
2 • -2 = -4
To evaluate h(4) substitute x = 4 into the function.
4^2 + 4 = 20
Add the 2 functions
-4 + 20 = 16
2. Solve by factoring?
a) x2 + x - 20 = 0
b) x = 36
c) *+ 12x = -36
d) x = 10x
Answers
Answer:
Step-by-step explanation:
a :x²+x-20 = 0 to factor we can calculate the dicriminant we get 81 so we have two solutions after factoring using the dicriminant we get : (x+5) (x-4) so x= 4 or x= -5 b :x= 36 x-36 = 0 x-6²=0(√x+6)(√x-6) = 0 √x = 6 or √x= -6 ( impossible for real numbers) x= 6² x= 6d: x= 10x x-10x=0 x(1-10) = 0 -9x = 0 x= 0
x/3 = -9, plz solve this
Answers
Answer:
-27Step-by-step explanation:
[tex] \frac{x}{3} = - 9[/tex]
Apply cross product property
[tex]x = - 9 \times 3[/tex]
Calculate the product
[tex]x = - 27[/tex]
Hope this helps...
Best regards!!
Answer:
x=-27
Step-by-step explanation:
if f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)
Answers
Answer:
(f-g) (x) is
[tex] {4}^{x} - 5x - 14[/tex]
Step-by-step explanation:
f(x)=4ˣ - 8
g(x)=5x+6
(f-g) (x) is
[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]
The final answer is
[tex] {4}^{x} - 5x - 14[/tex]
Hope this helps you.
Which of the following best describes the slope of the line below?
A. Zero
B. Positive
C. Negative
D. Undefined
Answers
Answer:
C. Negative
Step-by-step explanation:
We know that
The farther right this line goes the further it goes down.
This is a negative slope.
If this line was directly vertical it would be undefined.
If it was horizontal it would be zero.
Answer:C
Step-by-step explanation:
Y is always decreasing and X increases and Y is always increasing one X is decreasing this is why it’s a negative slope.
two number are on the ratio 2:3.if 12 is added to both the numbers,ratio becomes 5:6.find the numbers
Answers
Answer:
The numbers are: 8 , 12
Step-by-step explanation:
Ratio of two numbers = 2:3
Two numbers are : 2x , 3x
[tex]\frac{2x +12}{3x +12}=\frac{5}{6}\\\\[/tex]
Cross multiply,
6*(2x + 12) = 5*(3x+12)
6*2x +6*12 = 5*3x + 5*12
12x + 72 = 15x + 60
72 - 60 = 15x - 12x
12 = 3x
3x = 12
x = 12/3
x = 4
2x = 2*4 = 8
3x = 3*4 = 12
The numbers are: 8 , 12
"If you did a 6 feet hole, how deep is the hole"?
Answers
Answer:6 ft
Step-by-step explanation:
Answer:
6ft
Step-by-step explanation:
Which of the following systems of nonlinear inequalities is graphed below?
Answers
Answer:
the correct answer is C.
Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8). x + y =
Answers
Answer:
2x -3y = 19
Step-by-step explanation:
For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-5-(-1))/(2 -8)(x -8) +(-1)
y = -4/-6(x -8) -1
3y = 2x -16 -3 . . . . multiply by 3
2x -3y = 19 . . . . . . rearrange to standard form
__
The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.
Answer:
2x + -3y = 19
Step-by-step explanation:
I promise
Expand the following bracket -8(2d-3)
Answers
Answer:
-16d+24
Step-by-step explanation:
=> -8(2d-3)
Expand the brackets and use distributive property.
=> (-8 × 2d)+(-8 × -3)
Multiply
=> (-16d) + (24)
=> -16d+24
Answer:
-16d + 24
Step-by-step explanation:
-8(2d - 3)
Expand or distribute.
-8(2d) -8(-3)
Multiply the terms.
-16d + 24
Amy must form a three-letter arrangement using only letters from the word dice. She cannot use a letter more than once in the arrangement. (Her arrangement doesn't need to be a valid word.) The probability that Amy forms an arrangement that begins and ends with vowels is _____. The probability that Amy forms an arrangement whose letters are in alphabetical order (ascending or descending) is ______.
Answers
Answer #1: [tex]\frac{1}{2}[/tex]
Answer #2: [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
__ __ __
There are 4 × 3 × 2 possibilities. For the first question, "The probability that Amy forms an arrangement that begins and ends with vowels is _____." To have a her word end in a vowel, then her word will have to end in either 'e', or 'i'. For this to be possible there are two possibilities for the last letter. Then the middle letter will have three possibilities because one letter will have been used for the last one. Finally, there will be two more possibilities for the letter at the end. That's 2 × 3 × 2 possibilities.
To get a word whose arrangement is in alphabetical order either backwards or forwards I just listed possibilities:
CDE
CDI
CEI
IDC
IEC
IED
There are six in all which means the answer to problem two is six out of twenty four.
A is 0.5 and b is 1
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely, then place the answer in the proper location on the grid. x 3 - y 3
Answers
Answer:
The factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].
Step-by-step explanation:
We know that:
[tex]x^{3}+y^{3}=(x+y)(x^{2}-xy+y^{2})[/tex]
Compute the factors of [tex]x^{3}-y^{3}[/tex] as follows:
[tex]x^{3}+(-y)^{3}=(x+(-y))(x^{2}-x(-y)+(-y)^{2})[/tex]
[tex]x^{3}-y^{3}=(x-y)(x^{2}+xy+y^{2})[/tex]
Thus, the factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].
if the 50th and 51st terms of an arithmetic sequence are 140 and 142, find the 1st term
Answers
Answer:
The first term is 42.
Step-by-step explanation:
The common difference is 142 - 140 = 2 so we have
50th term = a1 + 2(50 -1) = 140 where a1 is the first term
a1 + 98 = 140
a1 = 140 - 98 = 42.
Which of the following is equal to the polynomial given above?
Answers
Answer:
its the last one
Step-by-step explanation:
Work out 1/2 x 7 giving you answer as a mixed number.
Answers
Answer:
[tex]3 \frac{1}{2} [/tex]
solution,
[tex] \frac{1}{2} \times 7 \\ = \frac{1 \times 7}{2} \\ = \frac{7}{2} \\ = 3 \frac{1}{2} [/tex]
Hope this helps...
Good luck on your assignment....
The answer in mixed number is written as [tex]3\dfrac{1}{2}[/tex]
The given expression is [tex]\dfrac{1}{2} \times 7[/tex].
Mixed fraction is composed of an integer with a proper fraction.
A proper fraction is one which has numerator's value smaller than that of denominator.
The conversion will go like shown below:
[tex]\begin{aligned}\dfrac{1}{2} \times 7&= \dfrac{7}{2}\\&= \dfrac{3 \times 2 + 1 }{2}\\&= 3 + \dfrac{1}{2}\\&= 3\dfrac{1}{2}\end{aligned}[/tex]
Thus, the resultant mixed number of given expression will be given as [tex]3\dfrac{1}{2}[/tex]
Learn more here:
https://brainly.com/question/236680
A student takes a 48 question multiple choice quiz. The student is unprepared, so they guess on every question. The probability of guessing a correct answer is 1/4. Find the mean and standard deviation for the random variable
Answers
Answer:
[tex]Mean = 12[/tex]
[tex]Standard\ Deviation = 6[/tex]
Step-by-step explanation:
Given
Number of questions, n = 48
Probability of correct answer, p = 1/4
Required
- Find the mean
- Find the standard deviation
Using probability notations;
n = 48 and p = 1/4
Mean is calculated as follows;
[tex]Mean = np[/tex]
Substitute 48 for n and 1/4 for p
[tex]Mean = 48 * \frac{1}{4}[/tex]
[tex]Mean = \frac{48}{4}[/tex]
[tex]Mean = 12[/tex]
The Mean is 12
Calculating Standard Deviation (SD)
[tex]SD = \sqrt{np(1-p)}[/tex]
Substitute 48 for n and 1/4 for p
[tex]SD = \sqrt{48 * \frac{1}{4}(1-\frac{1}{4})}[/tex]
Solve the expression in the bracket
[tex]SD = \sqrt{48 * \frac{1}{4}(\frac{4-1}{4})}[/tex]
[tex]SD = \sqrt{48 * \frac{1}{4}(\frac{3}{4})}[/tex]
Open Bracket
[tex]SD = \sqrt{48 * \frac{1}{4}*\frac{3}{4}}[/tex]
[tex]SD = \sqrt{\frac{48 * 1 * 3}{4}}[/tex]
[tex]SD = \sqrt{\frac{144}{4}}[/tex]
[tex]SD = \sqrt{36}[/tex]
Take Square Root of 36
[tex]SD = 6[/tex]
The standard deviation is 6
Find the area of the triangle.
Answers
Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
Calculate the distance between the points G=(-9, 8) and H=(-2, 2) in the coordinate plane.
Give an exact answer (not a decimal approximation).
10+
8
Distance: 0
+
-10-8
-6
-4
- 2
2
6
8
10
-S
-10
Answers
Answer:
[tex]\sqrt{153}[/tex]
Step-by-step explanation:
Using Pythagoras in 3D.
[tex]a^2+b^2=c^2[/tex] (The distance between two points in a direction)
For the x-plane.
[tex](-9)^2+(-2)^2=c^2\\85=c^2\\c=\sqrt{85}[/tex]
For the y-plane.
[tex]8^2+2^2=c^2\\68=c^2\\c=\sqrt{68}[/tex]
Finding the shortest distance between those two points.
[tex]\sqrt{68}^2+\sqrt{85}^2=c^2\\68+85=c^2\\153=c^2\\c=\sqrt{153}[/tex]
Stevie and Michael share their profit in a ratio 3:5. Stevie gets £120 more than Michael. How much profit did they make altogether? Please help
Answers
Answer:
Altogether, Stevie and Michael made £480
Step-by-step explanation:
Since Stevie gets £120 more than Michael, Stevie gets the bigger ratio which is 5 and Michael gets the ratio 3
a:b=ax+bx
Stevie share =ax
Michael share=by
5:3=5x+3x
Stevie profit=Michael profit
*Stevie gets £120 more
5x+120=3x
5x-3x=120
2x=120
x=120/2
=60
x=60
Stevie=ax
=5*60
=£300
Michael=bx
=3*60
=£180
Altogether,
They made a profit of £180+£300
=£480
The Empire State Building in New York City is 1250 ft tall. What is the
distance from the top of this building to the horizon to the nearest mile? (Hint: 5280 ft 1 mi; radius of Earth 4000 mi)
Answers
Answer:
33 miles
Step-by-step explanation:
The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.
5280 ft = 1 mile
735 ft = ? miles
cross multiply
735/5280
miles = 0.13920454545 miles
The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14 miles
using Pythagoras theorem
c² = a² + b²
c = 4000.14
a = 4000
4000.14² = 4000² + b²
b² = 4000.14² - 4000²
b² = 16001120.0196 - 16000000
b² = 1120.0196
b = √1120.0196
b = 33.4666938911
b = 33 miles
1. Which of the following equations has a solution of x = -5? Equation A------> 16x-7=11x-32 Equation B------> -4x- 10=2x+20 a. Equation A b. Equation B c. Both A and B d. Neither A nor B
Answers
Answer:
C
Step-by-step explanation:
Equation A
16x - 7 = 11x - 32
(16x - 7) - 11x = (11x - 32) -11x
5x - 7 = -32
(5x - 7) + 7 = (-32) + 7
5x = -25
(5x)/5 = (-25)/5
x = -5
Equation B
-4x - 10 = 2x + 20
(-4x - 10) - 2x = (2x + 20) - 2x
-6x - 10 = 20
(-6x - 10) + 10 = (20) + 10
-6x = 30
(-6x)/-6 = (30)/-6
x = -5
Both Equation A and Equation B have a solution of -5.
Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below. (3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2) = 3y2 – 12y2 = –9y2 Is the student’s work correct? No, she did not multiply –6y2 by 2 correctly. No, she did not add 3y2 and –12y2 correctly. No, she did not use the distributive property correctly. Yes, she multiplied the binomials correctly.
Answers
Answer:
No, She did not use the distributive property correctly.
Step-by-step explanation:
While multiplying [tex](3-6y^2)(y^2+2)[/tex], he did not use distributive property correctly. She only multiplied 3 with [tex]y^2[/tex] and not with 2. Also she multiplied [tex]-6y^2[/tex]only with 2 and not with [tex]y^2[/tex].
Answer:No, She did not use the distributive property correctly.
Find 3 rational number between: 1) -5 and -6 2)
Answers
Answer:
3 rational numbers between -5 and -6 include -5.6, -5.7, and -5.1.
Step-by-step explanation:
Answer:
-5.2, -5.6, and -5.8.
Step-by-step explanation:
3 rational numbers between -5 and -6.
-5 > x > -6
Where x is a rational number, that can be expressed in p/q form.
The numbers can be -5.2, -5.6, and -5.8.
-5.2 = -26/5
-5.6 = -28/5
-5.8 = -29/5
The numbers can be expressed in p/q form, so they are rational.
hola por favor ayudame
Answers
Answer:
119
Step-by-step explanation:
X + 1/x = 11
X^2 + 1/x^2 = 119
(X + 1/x)^2
Marissa subtracted a negative number from a positive number. Her result was negative. Is that reasonable
Answers
Answer:
the result is a positive number not a negative number
Step-by-step explanation:
a - ( -b)
We know that subtracting a negative is like adding
a+b
This would result in a positive number
Answer:
No.
Step-by-step explanation:
Because it is a double negative, the difference will become positive.
For instance, 6 - (-4) = 10
(The subtraction and negative signs will become positive instead).
Find the midpoint of the line segment with end coordinates of: (1,7) and (3,−2) Give coordinates as decimals where appropriate.
Answers
Answer:
(2, 2.5 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (1, 7) and (x₂, y₂ ) = (3, - 2) , thus
midpoint = [[tex]\frac{1}{2}[/tex](1 + 3), [tex]\frac{1}{2}[/tex] (7 - 2) ] = (2, 2.5 )
solve for x. 7x+4=30
Answers
Answer: x≈3.7
Step-by-step explanation:
7x+4=30
-4 on both sides
30-4=26
7x=26
divide 7 on both sides
x=3.7142...
Answer:
3.7
Step-by-step explanation:
7x+4=30
7x=30-4
7x=26
26/7
3.7