Answer:
Step-by-step explanation:
In this case we will use the formula V= length × width × height
so, V= 2 1/4 × 1 × 1 1/4
=2 1/4 × 1 1/4
= 9/4 × 5/4
= 45/16
=2 13/16 cubic feet is the full capacity of the rectangular prism
then get the volume of the cube so, we will use the formula V= side times side times side
so, V= 1/4 times 1/4 times 1/4
V= 1/8 times 1/4
V= 1/32 cubic is the volume of the cube
then we will divide the full capacity of the rectangular prism to the volume of the cube
so, 2 13/16 divided by 1/32
so, 2 13/16 times 32/1
so, 45/16 times 32/1
=1,440/16
=90 small cubes can be packed in a rectangular prism in Part A
so, in Part B
V= 2 1/4 × 1 × 1 1/4
=2 1/4 × 1 1/4
= 9/4 × 5/4
= 45/16
=2 13/16 cubic feet is the volume of the rectangular prism
I really need help with this problem.
9514 1404 393
Answer:
a) line: y = x - 11
b) k = -9
c) AP = BP = √74
Step-by-step explanation:
There are four (4) formulas that are needed for solving this problem.
m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line between points (x1, y1) and (x2, y2)
M = ((x1 +x2)/2, (y1 +y2)/2) . . . . midpoint of the segment between the points
y -y1 = m(x -x1) . . . . . point-slope equation of a line given point and slope
d = √((x2 -x1)² +(y2 -y1)²) . . . . distance between two points
In addition, you need to know that perpendicular lines have opposite reciprocal slopes.
__
The perpendicular bisector of a segment between two points will be a line with a slope that is the opposite reciprocal of the slope of the segment. That line will go through the midpoint of the segment.
a) The slope of the segment between A(7, -2) and B(9, -4) is ...
m = (-4-(-2))/(9-7) = -2/2 = -1
The midpoint of AB is ...
M = ((7+9)/2, (-2-4)/2) = (8, -3)
The opposite reciprocal of the slope of AB is ...
m = -1/(-1) = 1
Then the point-slope equation of the perpendicular bisector is the line with slope 1 through the point (8, -3):
y -(-3) = 1(x -8)
y = x -11
__
b) Point P on the line has x-value of 2, so the y-value will be ...
k = 2 -11 = -9
Point P has coordinates (2, -9).
__
c) The length of segment AP is given by the distance formula:
d = √((2 -7)² +(-9-(-2))²) = √((-5)² +(-7)²) = √74
The length of segment BP is likewise given by the distance formula:
d = √((2 -9)² +(-9 -(-4))²) = √((-7)² +(-5)²) = √74
AP = √74 = BP ⇒ AP ≅ BP
what is 2y is y = -3
Answer:
-6
Step-by-step explanation:
2 x -3 = -6
1 positive and a negative integer multiplied will get a negative answer
Select all the expressions with a product greater to 2/3
Answer:
3.LOOK AND CHOOSE THE CORRECT SENTENCES
(1 Punto)
Does Daniela Works every day?
Do Daniela Work every day?
Does Daniela Work every day?
Did Daniela Work every day?
4.LOOK AND CHOOSE THE CORRECT SENTENCES
(1 Punto)
Margarita don't brushes her car
Margarita doesn't brush her car
Margarita doesn't brushes her car
Margarita didn´t brush her car
5.LOOK AND CHOOSE THE CORRECT SENTENCES
(1 Punto)
Do Camilo and Diana dances in the class?
Do Camilo and Diana dance in the class
Does Camilo and Diana dance in the class?
Do Camilo and Diana dance in the class?
6.LOOK AND CHOOSE THE CORRECT SENTENCES
(1 Punto)
You don't read a book
You don't reads a book
You doesn't read a book
7.LOOK AND CHOOSE THE CORRECT SENTENCES
INTERROGATIVE
____ he ___ better than you?
(1 Punto)
Does- plays
Does- play
Do- play
Do . plays
8.LOOK AND CHOOSE THE CORRECT SENTENCES
NEGATIVE
It ___ snow in summer.
(1 Punto)
doesn't
don't
9.LOOK AND CHOOSE THE CORRECT SENTENCES
AFFIRMATIVE
My cousin _____ English very well.
(1 Punto)
Speak
Speaking
Speaks
10.LOOK AND CHOOSE THE CORRECT SENTENCES
AFFIRMATIVE
We _____ our bikes
(1 Punto)
Wash
Washes
Washing
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Step-by-step explanation:
Expand the Logarithm
Step-by-step explanation:
The power can come to the front according to logarithm rule.
Brainlyst for the best answer thank you!
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT 7TH GRADE MATH
Answer:
D.324
Step-by-step explanation:
Answer:
D. 324 Sq in
Step-by-step explanation:
Painted area = area of rectangle + Area of square + Area of triangle
[tex] = 60 \times 4 + {8}^{2} + \frac{1}{2} \times 8 \times 5 \\ \\ = 240 + 64 + 20 \\ \\ = 324 \: {in}^{2} [/tex]
A =[4/3 -7/-2]
5. Find the determinant of A.
A.-2
B.2
C.29
D. 13
Answer:
Let's solve your equation step-by-step.
a=
4
3
−
7
−2
Step 1: Simplify both sides of the equation.
a=
4
3
−
7
−2
a=
4
3
+
7
2
a=(
4
3
+
7
2
)(Combine Like Terms)
a=
29
6
a=
29
6
Answer:
a=
29
6
Mareo bounces a basketball 45 times in 55 seconds. At that rate,
approximately how many times will Marco bounce the ball in 150
seconds?
You have 100 workers who make $9 per hour that work 40 hours per week, 52 weeks a year. If the minimum wage
increased to $11 per hour, how much extra money will the company pay for these 100 workers?
Answer:
416,000
Step-by-step explanation:
per hour 9*100=900
per week 900*40=36,000
per year 36,000*52=1,872,000
with raise
11*100=1,100
1,100*40=44,000
44,000*52=2,288,000
difference equals
416,000
The degrees of freedom in a t distribution is?
Answer: 7 degrees of freedom.
Step-by-step explanation:
help me please it’s due soon
Add them both up and divided by 2, 52+45=97. 97/2 =48.5
Step-by-step explanation:
factorise the following :
Answer:
(3x+4b)(a-2y)
Step-by-step explanation:
(3ax-6xy)+(8by-4ab)
3x(a-2y) -4b(-2y+a)
(3x+4b) (a-2y)
Answer:
(a−2y)(3x−4b)
Step-by-step explanation:
3ax−6xy+8by−4ab
⇒3ax−4ab−6xy+8by
⇒a(3x−4b)−2y(3x−4b)
⇒(a−2y)(3x−4b)
Hope it is helpful...The point A(6,-4) is reflected over the point (0,0) and its image is point B. What
are the coordinates of point B?
Answer:
B(-6,4)
Step-by-step explanation:
Basically, it's the same as reflecting it over the origin, so you transform the sign to its opposite and keep the points.
Given the polynomial f(x) = 3x ^ 3 - 4x ^ 2 - 3x - 1 what is the smallest positive integer a the Intermediate Value Theorem guarantees a zero exists between 0 and a? Enter an integer as your answer . For example , if you found a = 8 you would enter 8. Provide your answer below .
9514 1404 393
Answer:
2
Step-by-step explanation:
You need the smallest positive integer for which f(x) > 0.
f(1) = 3 -4 -3 -1 = -5
f(2) = ((3·2 -4)2 -3)2 -1 = (4 -3)2 -1 = 1
x = 2 is the smallest integer for which f(x) > 0.
Which graph represents a function with direct variation?
Answer choices
4/5 mm2
2/25 mm2
1/25 mm2
It’s not the first answer
Answer:
¹/25 mm²
Step-by-step explanation:
Area of a square = s²
Where s is the length of one side
using the diagram given,
s = ⅕ mm
Area = (⅕)²
Area of the square = ¹/25 mm²
What is the solution to the equation?
1/7g=3/14
Boris has a coin and a number cube. The number cube is labeled 1 through 6. He flips the coin once and rolls the number cube once. What is the probability that the coin lands tails up and the cube lands on an even number?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Chance of tales: [tex]\frac{1}{2}[/tex]
Chance of even number: [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
Multiply: ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) = [tex]\frac{1}{4}[/tex]
Solve and check the equation.
3(2y - 5) = 5(y + 4)
Use math-way to solve and check, it gives you all the answers, with a small explanation.
Answer:
y=35
Step-by-step explanation:
3(2y - 5) = 5(y + 4)
6y - 15 = 5y +20
6y - 5y = 20 + 15
y = 35
They’ve had to write five pages for a book report. How many hours would it take him to write it if he wrote 1/6 of the page each hour
jose has a wedge shaped piece of wood as shown in the diagram. jose plans to paint the piece of wood and must determine how much paint he needs.
Answer:
There is no diagram. If you repost the question, I may be able to help you
Step-by-step explanation:
Answer:
No diagram
Step-by-step explanation:
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
y=1+ secx, y =3; about y=1
Answer:
Step-by-step explanation:
[tex]\text{Given that:}[/tex]
[tex]y = 1+ sec(x) \ \ y =3[/tex]
[tex]\text{we draw the graph and the curves intersect at:}[/tex]
[tex]x = - \dfrac{\pi}{3} \ and \ x = \dfrac{\pi}{3}[/tex]
[tex]\text{Applying washer method;}[/tex]
[tex]f(x) _{outer} - g(x) _{inner} --- (1)[/tex]
[tex]V= \int ^b_a A(x) \ dx --- (2)[/tex]
[tex]\text{outer radius = 3 - 1 = 2}[/tex]
[tex]\text{inner radius =}[/tex] [tex]( 1 + sec(x) ) - 1 = sec (x)[/tex]
[tex]A(x) = \pi ((2)^2 -(sec(x)^2) \\ \\ A(x) = \pi (4 - sec^2 (x)) ---- (3)[/tex]
[tex]\text{The volume V =}\int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ A(x) \ dx[/tex]
[tex]V = \int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ \pi (4- sec^2 (x) ) \ dx[/tex]
[tex]V = 2 \pi \int ^{\dfrac{\pi}{3}}_{0}( 4 - sec^2 (x)) \ dx[/tex]
[tex]V = 2 \pi \int ^{\pi/3}_{0} 4 . \ dx - 2 \pi \int ^{\pi/3}_{0} sec^2 (x) \ dx[/tex]
[tex]V = 2 \pi(4) \int ^{\pi/3}_{0} 1 . \ dx - 2 \pi \Big( tan (x)\Big )^{\dfrac{\pi}{3}}_{0}[/tex]
[tex]V = 8 \pi(x)^{\dfrac{\pi}{3}}_{0} - 2 \pi \Big( tan \dfrac{\pi}{3} -tan (0)\Big )[/tex]
[tex]V = 8 \pi({\dfrac{\pi}{3}}-{0}) - 2 \pi \Big( tan \sqrt{3}-(0)\Big )[/tex]
[tex]V = 8 \pi({\dfrac{\pi}{3}}) - 2 \pi \Big( \sqrt{3}\Big )[/tex]
[tex]\mathbf{V = 2 \pi \Big(\dfrac{4\pi}{3}- \sqrt{3} \Big)}[/tex]
Mia is going on a 238-mile bicycle trip. If she rides 14 miles each day, how many days will it take her to finish the trip?
A 12 days
B 14 days
C 17 days
D 18 days
Answer:
17 days
Step-by-step explanation:
238/14 = 17
convert 13.025 to base 10
Answer:
Your question is in what base please?
Help please!(10 points)
Answer:
Each friend gets 3/4 of a fruit bar
Step-by-step explanation:
can someone pls awnser this
Answer:
Quadratic and Trinomial
Step-by-step explanation:
It has a degree of 2, making it a quadratic. It has 3 terms, so it's a trinomial.
According to the distributive property 3(a+b)
Answer:
3a + 3b
Step-by-step explanation:
Solve for X plz plz plz plz
Answer:
Step-by-step explanation:
B/c they are similar triangles we can set the sides ratio's equal to each other again
7x + 6 / 56 = 78 /91
does it kind of makes sense why I'm able to set those two ratio's equal?
it's the tough part of these problems... understanding why that works
the rest is just algebra.. My calc II professor always told us our algebra sucks. :D he was funny,
anyway, use your mad algebra skilz on the above equation
7x + 6 = 56(78/91)
7x + 6 = 4368 / 91
7x + 6 = 48
7x = 48 - 6
7x = 42
x = 6
:)
What is the slope of the line in the graph?
X
Please help
Answer: slope is 1
Step-by-step explanation:
Find the slope of the line passing through the two points: (1, -2) and (-3, -7)
Answer:
5/4
Step-by-step explanation:
Answer:
slope = 1.25
Step-by-step explanation:
use the formula
m=rise/run or m=[tex]y_{2} - y_{1} / x_{2} - x_{1}[/tex]
-7-(-2)/(-3)-1
= 5/4 (or 1.25)
hope this helps :)