Answer:
Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.
Step-by-step explanation:
Given that Mr. Reid's storage bin is 4 feet long, 3 feet wide, and 7 feet tall, to determine if he can fit 81 boxes that each has a volume of 1 cubic foot in his bin, the following calculation, knowing that the volume of a rectangular prism arises from multiplying its height by its width and its length:
4 x 3 x 7 = X
12 x 7 = X
84 = X
84 - (81 x 1) = X
84 - 81 = X
3 = X
Therefore, Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.
please help will give brainliest
Answer:
B
Step-by-step explanation:
z=−12i+11
What are the real and imaginary parts of z ?
Answer:
it is easy simply you can answer-12 imaginary 11 is real
: At a Pokemon award ceremony there are three types of medals to be awarded: Leader, Champion, and Ranger. There are 48 awardees present in total, including 19 Leader medal winners, 27 Champion medal winners, and 25 Ranger medal winners. For any two types of medals, the number of people who won these two medals is the same. There are 4 people who won all three medals. How many people won exactly two medals
Answer:
The correct answer is "[tex]a+b+c=15[/tex]".
Step-by-step explanation:
The figure according to the given question is attached below.
Given that,
Number of people,
p = 4
Let the suitable notations are:
a, b, c, x, y, z and p
where,
Only leader M = x
Only champion M = y
Only range M = z
Exactly two medals = a+b+c
All three medals = p
The equations will be:
[tex]x+a+b+p=19[/tex]...(1)
[tex]y+a+c+p=27[/tex]...(2)
[tex]z+b+c+p=25[/tex]...(3)
[tex]x+y+z+a+b+c+p=48[/tex]...(4)
Now,
From equation (1), (2) and (3), we get
[tex]x+y+z+2(a+b+c)+3p=71[/tex]
[tex]x+y+z+2(a+b+c)=71-12[/tex]
[tex]x+y+z+2(a+b+c)=59[/tex]...(5)
By applying subtraction between equation (5) and (4), we get
[tex]a+b+c-p=59-48[/tex]
[tex]a+b+c=4+11[/tex]
[tex]a+b+c=15[/tex]
pls answer pls pls hurry
Answer: This can not be answered unless you choose a bigger photo.
Step-by-step explanation:
Sorry
Which function represents the area of the rectangle? 6x2 – 8x + 36 6x2 – 27x + 36 6x2 – 35x + 36 6x2 + 35x + 36
Answer:
[tex]Area = 6x^2 - 35x + 36[/tex]
Step-by-step explanation:
Given
[tex]g(x)=3x-4[/tex]
[tex]f(x)=2x-9[/tex]
Required
The area
This is calculated as:
[tex]Area = f(x) * g(x)[/tex]
[tex]Area = (3x -4) * (2x - 9)[/tex]
Open bracket
[tex]Area = 6x^2 - 27x - 8x + 36[/tex]
[tex]Area = 6x^2 - 35x + 36[/tex]
Answer:
6x2 – 35x + 36
Step-by-step explanation:
the radius of a cylindrical construction pipe is 2 ft. If the pipe is 26 ft long, what is its volume?
Answer:
V=326.725636 or V=104[tex]\pi[/tex]
Step-by-step explanation:
V=[tex]\pi[/tex][tex]r^{2}[/tex]h
V=[tex]\pi[/tex][tex]2^{2}[/tex](26)
V=[tex]\pi[/tex]4(26)
V=326.725636
The height of the triangle is 4 inches less than four times its
base. The area of the triangle is 112 in2. What is the height of
the triangle?
Answer:
h = 28 inches
Step-by-step explanation:
Let the base of the triangle is b.
the height of the triangle is 4 inches less than four times its base.
h = 4b-4
The area of the triangle is 112 inch².
The formula for the area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\112=\dfrac{1}{2}\times b\times (4b-4)[/tex]
It is a quadratic equation, whose solution is as follows :
b = -7 and b = 8 inches
Height, h = 4(8)-4
= 32-4
= 28 inches
Hence, the height of the triangle is 28inches.
What is the value of log6 49?
Round your answer to two places.
Answer: 2.17
Step-by-step explanation: To get the answer you count the first two numbers on the Decimal Form, starting behind the period.
(2.17206626)
PLEASE HELP ME SOLVE FOR X
Answer:
7. x = 10
8. x = 13
9. x = 17
10. x = 5
11. x = 9
12. x = 11
Step-by-step explanation:
Explanation for Number 7.
The exterior angle is always equl to the sum of the two opposite interior angles.
The two opposite interior angles: 62 and (7x + 14)
The exterior angle: (15x - 4)
So you would set it up like _____ = ______ to solve for x
62 + (7x +14) = 15x - 4
62 + 7x + 14 = 15x - 4
Then move the terms
76 + 7x = 15x - 4
Collect the like terms and Calculate
7x - 15x = -4 - 76
Divide both Sides
-8x = -80
/8 /8
-x = -10
/-1 /-1
x = 10
Hope this helps ^^
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
b and 288
Step-by-step explanation:
ywwwwwwwwwwww
Cube roots of 1 are +1 and -1 (true and false)
False cube root of 1 is plus 1 only.
There are thirteen shirts in your closet,
eight blue and five green. You randomly
select one to wear on Monday and then a
different one on Tuesday. You wear a blue
shirt on Monday and a green shirt on
Tuesday.
11 shirts
Step-by-step explanation:
You start off with 13, wear one monday, 12, then another tuesday 11
13-2=11
Please show steps on how to solve
log7 -2b-9=-6
Answer: b= - -log10(7)+3/2
Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)
so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)
Simplify -2b= -log10(7)+3
Divide both sides by -2 -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!
CAN SOMEONE PLSSS HELP ME! IT’S DUE TODAY. I NEED THE SURFACE AREA AND VOLUME...
Answer:
one of the triangles is 7.5, if you need both areas then it is 15cm2
Step-by-step explanation:
multiple 3x5=15, this will make it for a square. To create the triangle, you just divide it by two, because two triangel make a square.
What are the algebraic properties of the logarithm function?
Answer:
344343234
Step-by-step explanation:
Tienes $20 para gastar en la tarifa del taxi. El viaje cuesta
$5 más $2.50 por kilómetro.
Escribe una desigualdad para determinar la distancia
en kilómetros, d, que podrías recorrer por $20.
¿Cuál es la distancia máxima, en kilómetros, que
puedes recorrer por $20?
kilómetros.
Answer:
6 kilometers serian15 mas 5
In a viral pool test it is known that in a group of five (5) people, exactly one (1) will test positive. If they are tested one by one in random order for confirmation, what is the probability that only two (2) tests are needed?
Answer:
[tex]\frac{4}{20}[/tex] or 0.2 or 20%
Step-by-step explanation:
For only two tests to be needed this means that the first test would need to come back as negative and the second test would be to come back as positive. Therefore, to find the probability of this happening we first need to find the probability of each individual test and multiply them together.
The first test needs to come back negative, there are four negative individuals out of the total 5 that are in the group. Therefore, the probability of the first test is 4/5.
Now we remove the individual that has just been tested and we are left with 4 total subjects in the group, of which only 1 is positive. Therefore, the probability of the second test is 1/4. Now we need to multiply these two probabilities together to get the probability of only needing two tests.
[tex]\frac{4 * 1}{5 * 4} = \frac{4}{20}[/tex] or 0.2 or 20%
PLS ANSWER RN
Triangle XYZ is rotated 90 counterclockwise about the origin to produce AX'Y'Z'. What are the coordinates of AXYZ?
A. X'(1, 1), Y'(-3, 2), Z"(-2, 5)
B. X"(-1, -1), Y'(3,-2), Z (2, -5)
C. X"(-1, -1), Y'(-2, 3), Z'(-5, 2)
D. X(0.0), Y'(1, 4), Z'(4, 3)
In the accompanying diagram...
Answer:
i think maybe use Pythagorean Theorem :
call Kite is K
all state is S
we have KS²= KX²+ SX²
400=144+ SX²
so SX = 16, so that distance in feet between the stake and X is 16 feet
Answer:
16
Step-by-step explanation:
We can solve for a missing side using the Pythagorean Theorem
a² + b² = c²
where a and b = the legs and h = hypotenuse
Looking at the triangle created, we notice we are given a leg ( which has a measure of 12t ) and the hypotenuse ( which has a measure of 12ft )
That being said, we plug in what we are given into the Pythagorean theorem and solve for the missing side length ( aka b )
12² + b² = 20²
step 1 simplify
12² = 144
20² = 400
we now have 144 + b² = 400
step 2 subtract 144 from each side
144 - 144 cancels out
400 - 144 = 256
we now have 256 = b²
step 3 take the square root of each side
√b² = b
√ 256 = 16
we're left with b = 16
So we can conclude that the length from the ground directly over point x to the stake is 16 feet.
( important note: The Pythagorean theorem can only be used in right triangle. )
What is the degree of the polynomial 3x-6
Answer:
1
Step-by-step explanation:
the degree of 3x-6 is 1
A gumball machine has various colors of gumballs. There is a 10% chance that the next
gumball from the machine is red and 0.8 chance it is orange.
Is the next gumball more likely to be red or orange? Explain your reasoning.
Answer:
It is red
Step-by-step explanation:
I REALLY NEED HELP PLS I NEED THIS DONE TODAY!!! JUST LOOK AT THE PICTURE!!!
PLZ HELP!!!!!!!!!!!!!!!!
Answer:
B) 119.1
Step-by-step explanation:
First, find your circle area
[tex]A=\pi r^{2} \\A=\pi 7^{2} \\A=153.9[/tex]
Then get the area of the square, we will worry about the tringles on each side in the last step.
l=12
w= 14 (Radius of circle times 2)
A=wl
A=14*12
A=168
Now the triangle
h=14 (Radius of circle times 2)
b=(27 - 12) / 2 = 7.5 ( total length 27 minus 12 divided, by 2 since there's 2 triangles on each side.
[tex]A=h\frac{b}{2} \\A=14\frac{7.5}{2} \\A=52.5[/tex]
Now add 2 triangles, the square and substract the circle
52.5+52.5+168 = 273
273 - 153.9 = 119.1 in^2
i need the answer to
7(p + 1) = 2(3p + 1)
Answer:
p = -5
Step-by-step explanation:
7(p + 1) = 2(3p + 1)
Distribute on both sides.
7p + 7 = 6p + 2
Subtract 6p from both sides.
p + 7 = 2
Subtract 7 from both sides.
p = -5
Answer:
p = -5
Step-by-step explanation:
7(p + 1) = 2(3p + 1)
Distribute
7p +7 = 6p +2
Subtract 6p from each side
7p +7 -6p = 6p+2-6p
p+7 = 2
Subtract 7 from each side p+7-7 =2-7
p=-5
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 387 drivers and find that 298 claim to always buckle up. Construct a 84% confidence interval for the population proportion that claim to always buckle up.
Answer:
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
They randomly survey 387 drivers and find that 298 claim to always buckle up.
This means that [tex]n = 387, \pi = \frac{298}{387} = 0.77[/tex]
84% confidence level
So [tex]\alpha = 0.16[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.16}{2} = 0.92[/tex], so [tex]Z = 1.405[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8[/tex]
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
C is a circle with radius r. Which of the following is true? Select all that apply
A. The diameter of C is 2r
B.the circumference of C is pi*r
C: the circumference of C is 2pi*r
D. One quarter of the circle has length (pi*r)/4
E. One quarter of the circle has length(pi*r)/2
Answer:
A and C and E are correct
Step-by-step explanation:
Circumference = 2*pi*r
C is a circle with a radius r. The correct statements are; A. The diameter of C is 2r , C: The circumference of C is 2pi*r, E. One-quarter of the circle has a length(pi*r)/2.
What is the area of the circle?Supposing that a considered circle has its radius of 'r' units.
Then, its area and circumference are given as:
[tex]Area = \pi r^2 \: \rm unit^2\\ \\Circumference = 2\pi r \: \rm units[/tex]
The radius of a circle is half of its diameter.
Therefore, the correct statements are;
A. The diameter of C is 2r
C: The circumference of C is 2pi*r
E. One-quarter of the circle has a length(pi*r)/2
Learn more about the equation of a circle here:
https://brainly.com/question/10165274
#SPJ2
Rewrite the following logarithmic expression as an exponential expression
Answer:
it should be the same answer....?
Step-by-step explanation:
Write the number 9.9 x 10-5 in standard form.
pls help!! person with correct answer will be marked brainliest
Which is an equivalent scale factor of Mr. Barrow's height to the height of the power pole?
A. 162:18
B. 6:54
C. 18:162
D. 54:6
9514 1404 393
Answer:
C. 18:162
Step-by-step explanation:
Both B and C are the same scale factor, and both correctly express the ratio of the shorter height to the longer one.
The ratio of choice C is directly obtained from the figure, so is probably the best choice.