Answer:
[tex]588mm^3[/tex]
Step-by-step explanation:
Each side of the blue pyramid is 3 times the size of the red pyramid.
Instead of just dividing by 3 for the volume we must divide by 9 instead because we're working in cubes.
Mandy bought a rectangular shelf that is 1 2/3 feet long and 5/8 feet wide. What is the area of the shelf? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ ft²
The area of a rectangular shelf with length of 1 2 / 3 ft and width of 5 / 8 ft is [tex]1\frac{1}{24}[/tex] ft
How to find area of a rectangle?
A rectangle is a quadrilateral. It has 2 opposite sides equal to each other.
Therefore,
area of rectangle = lw
where
l = lengthw = widthTherefore,
length = 1 2 / 3 = 5 / 3 ft
width = 5 / 8 ft
area = 5 / 3 × 5 / 8
area = 25 / 24 ft
area = [tex]1\frac{1}{24}[/tex] ft
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(2x-7)-(4x^2+6x-3)+(x^2+4)
Answer:
[tex]-3x^2-4x[/tex]
Step-by-step explanation:
Simplify:
[tex]\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)[/tex]
[tex]=2x-7-\left(4x^2+6x-3\right)+x^2+4[/tex]
Group same factor:
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-7+4[/tex]
Add :
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-3[/tex]
Apply the distributive law: -(a+b) = -a - b
[tex]-\left(4x^2+6x-3\right)=-4x^2-6x+3[/tex]
[tex]=-4x^2-6x+3+x^2+2x-3[/tex]
Group same factor:
[tex]=-4x^2+x^2-6x+2x+3-3[/tex]
Subtract:
[tex]=-4x^2+x^2-6x+2x[/tex]
Add:
[tex]=-3x^2-6x+2x[/tex]
Group same factor:
[tex]=-3x^2-4x[/tex]
Hence answer = [tex]-3x^2-4x[/tex]
~lenvy~
i need help this is really hard i still dont understand plss help
Answer:
(b) 64 sq. in.
Step-by-step explanation:
The shaded area is the difference between the overall area and the areas of the cutout corners.
The overall area is 10 in by 10 in, so is ...
A = s² = (10 in)² = 100 in²
The area of the cutout at each of the four corners is ...
A = s² = (3 in)² = 9 in²
So, the total area of the four cutouts is ...
cutout area = 4 × 9 in² = 36 in²
The remaining area is then ...
100 in² -36 in² = 64 in²
can someone explain this to me thank u :)
Answer:
1/4
Step-by-step explanation:
It is really weird that this answer is not on there but here is my explanation.
We can consider this question in two different ways.
First, we could list the possible outcomes.
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
In total 8 possibilities, 2 of which are either all heads or all tails. So the probability is 2/8 which is 1/4.
Alternatively, we could look at each of the three independent events in turn.
We toss the first coin. We don’t mind whether it lands head or tail, but we need to note the result. The probability of getting any result is 1.
We toss the second coin and there is a probability of 1/2 that the result matches the first toss.
We now toss the third coin and again there is a probability of 1/2 that the result matches the first toss.
So the probability of getting all heads or all tails is the probability of getting any result from the first toss (1) multiplied by the probability of a matching result for the second toss (1/2) multiplied by the probability of a matching result for the third toss (1/2).
So that’s 1 * (1/2) * (1/2), which is 1/4.
The chef made 45 pancakes in 6 minutes. How many pancakes did she make in 1 minute?
Answer: 7.5 or 7 1/2
Step-by-step explanation:
Divide 45 divided by 7
Martin has a pencil case which contains 4 blue pens and 3 green pens. Martin picks a pen at random from the pencil case. He notes its colour, and then replaces it. He does this two more times. Work out the probability that when Martin takes three pens, exactly two are the same colour. (3 marks)
Answer: How do you not understand this?
I understand it perfectly.
Step-by-step explanation:
The probability that when Martin takes three pens, exactly two are the same color is 26.53%.
Probability
Given:
Blue pens=4
Green pens=3
Hence:
Probability=4³+3³÷(4+3)³
Probability=64+27/343
Probability=91/343
Probability=0.2653×100
Probability=25.53%
Therefore the probability that when Martin takes three pens, exactly two are the same color is 26.53%.
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A sample of size 38 has s = 15.5 and yields this confidence interval for the mean:
(304.67, 322.48). What's the t* for this confidence interval?
6.29
3.14
2.514
2.026
3.542
Answer:
6338.7
Step-by-step explanation:
The mean distance from the Earth to the Sun is c gigametres (Gm), where c = 150 and 1 Gm = 10⁹ m. The mean distance from Pluto to the Sun is d terametres (Tm), where d= 5.91 and 1 Tm = 10¹² m. Express d as a percentage of c. Give your answer in standard form.
please help, I don't understand how to get percentage
very easy math do you know whats the answer?
3 is less than w , 7 is greater than or equal to w
[tex]3 < w \\ 7 \geqslant w[/tex]
Answer:
3 < w = 7 ≥ w
Step-by-step explanation:
Less than= "<"
Greater than or equal to = ≥
The cylinder shown has a volume of 733 cubic inches.
a. What is the radius of the cylinder?
The radius of the cylinder is ?
(Round to the nearest tenth if needed)
Answer:
Your answer is 4.72
Use the formula:V=πr2h
What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?
Answer:
x ≥ -2
Step-by-step explanation:
6x-2 ≥ 4x-6
2x ≥ -4
x ≥ -2
PLEASE RATE!! I hope this helps!!
If you have any questions comment below...
(I have verified this answer on an online calculator)
The price of a car has been reduced from $14,500 to $10,730. What is the percentage decrease of the price of the car?
HELP ASAP LAST QUESTION I PROMISE
Answer:
[tex]a=36\: \sf ms^{-2}[/tex]
Step-by-step explanation:
[tex]\textsf{Displacement}\:x=4t^3-27t+8[/tex]
[tex]\implies \textsf{Velocity}\:v=\dfrac{dx}{dt}=12t^2-27[/tex]
[tex]\implies \textsf{Acceleration}\:a=\dfrac{dv}{dt}=24t[/tex]
At the moment the direction of motion of P reverses, the velocity of P will be zero. Therefore, find the value of t when v = 0:
[tex]\implies v=0[/tex]
[tex]\implies 12t^2-27=0[/tex]
[tex]\implies t^2=\dfrac{27}{12}=\dfrac94[/tex]
[tex]\implies t=\pm\sqrt{\dfrac94}=\pm\dfrac32[/tex]
As time is positive, P reverses when t = 3/2 s
To find acceleration at this time, simply substitute the found value of t into the equation for acceleration:
[tex]\implies a=24(\frac32)[/tex]
[tex]\implies a=36\: \sf ms^{-2}[/tex]
Based on this stock price model, what is the best prediction of what the price will do next?
Form and solve an equation to find x
Perimeter = 42 cm
2x
- 3
Х
Х
2x – 3
-
I need help bro like I'm screaming crying rn dude its not even a joke anymore
Answer: There are 24 monkeys in the tress.
Step-by-step explanation:
1/3 (3x)(2x-5)(2x-5)=125
Answer:
the answer is shown below
Step-by-step explanation:
hope this helps
have an awesome day -TJ
Find x y and z.
please give answer as fast as possible to get marked BRAINLIEST
Answer:
X = 64
Y = 18
Z = 98
Step-by-step explanation:
Angles on a straight line always add up to 180 Degrees
Vertical Opposite Angles are equal to each other
X = 64
Y = 18
Z = 180 - 64 - 18 = 98
4) Aníka grows vegetables and sells them at a farm stand. She gives a discount to local restaurants.
The table shows the restaurant's price,p. Of buying vegetables with a regular price of r dollars.
Regular price in dollars (r)
40
45
50
55
Restaurant's price in dollars (p)
32
37
42
47
• Write an equation that represents the relationship.
С
응
р
8
Answer:
p = r-8
Step-by-step explanation:
40-8=32
45-8=37
50-8=42
47-8=47
each step goes down by the same amount, so anika gives an 8 dollar discount to the local restaurants
Please help me with this please and thank you
Answer:
b. [tex]3^{-x}[/tex]
Step-by-step explanation:
(-2, 9)
[tex]f(-2)=3^{-(-2)} =3^{2} =9[/tex]
(-1, 3)
[tex]f(-1)=3^{-(-1)} =3^{1} =3[/tex]
(0 1)
[tex]f(0)=3^{0} =1[/tex]
Hope this helps
The diameter of a circle is 30 ft. Find its area to the nearest whole number.
Answer:
[tex]\displaystyle 707\:ft.^2[/tex]
Step-by-step explanation:
Split the diametre in half before proceeding:
[tex]\displaystyle \pi{r}^2 = A \\ \\ 15^2\pi = A \hookrightarrow 225\pi = A \hookrightarrow 706,85834706... = A \\ \\ \boxed{707 \approx A}[/tex]
I am joyous to assist you at any time.
What strategy would be the best to solve this problem?
To get into shape, Miles ran for 1 minute on Monday, 3 minutes on Tuesday, 6 minutes on Wednesday, and 10 minutes on Thursday. If he continues, how many minutes will Miles run on Sunday?
A. guess, check and revise
B. work backwards
C. use a formula
D. look for patterns
Answer:
D. look for patternsStep-by-step explanation:
Number the weekdays, and relevant time, then look for the pattern
Monday = 1, time = 1 minTuesday = 2, time = 3 minWednesday = 3, time = 6 minThursday = 4, time = 10 minFriday = 5, time = xSaturday = 6, time = ySunday = 7, time = zWe get the series:
1, 3, 6, 10, x, y, zIf you notice, the difference between the terms is:
2, 3, 4, ...It indicates the following terms are:
x = 10 + 5 = 15y = 15 + 6 = 21z = 21 + 7 = 28Since z represents the seventh term, the running time on Sunday is 28 minutes.
As we see looking for patterns helped to solve the question.
Correct choice is D
Answer:
D
Step-by-step explanation:
Because its D
A flower pot is approximately in the shape off a cylinder. The diameter is 10 inches and the height is 6 inches. Find the surface area off the flower pot round to the nearest inch
The surface area of the cylindrical flower pot to the nearest inch is equal to [tex]346\;in^2[/tex]
Given the following data:
Diameter = 10 inches.
Height = 6 inches.
Radius = [tex]\frac{diameter}{2} =\frac{10}{2}[/tex] = 5 inches.
How to calculate surface area.Mathematically, the surface area (SA) of a cylinder is given by this formula:
[tex]S.A = 2\pi rh + 2\pi r^2[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]S.A = 2\pi (5)(6) + 2\pi (5)^2\\\\S.A =188.52+157.1 \\\\S.A = 345.62\\\\S.A=346\;in^2[/tex]
Read more on surface area here: brainly.com/question/21367171
stephen had 4 cupcakes. He ate 3/4 of one cupcake. How many does he have now?
Answer:
He has 3.25 ([tex]3\frac{1}{4}[/tex]) cupcakes left
Step-by-step explanation:
Stephen starts with 4 cupcakes
If he eats [tex]\frac{3}{4}[/tex] of 1 cupcake, he will have [tex]\frac{1}{4}[/tex] of said cupcake left
[tex]1-\frac{3}{4} =\frac{1}{4}[/tex]
Since he has 3 other cupcakes, we will add the remaining [tex]\frac{1}{4}[/tex] of the other cupcake to the total.
[tex]3+\frac{1}{4} =3\frac{1}{4}[/tex]
Hope this helped!
Is this a function someone pls tell me
Answer:
that is not a function
Step-by-step explanation:
what is the quotient?
Answer:
[tex]x^{2}[/tex] - 2x + 4
Step-by-step explanation:
Which expression is equivalent to 16 4 6 ax?
Answer:
i believe the correct answer is a
suppose that you are offered a job that pays you $2000 the first month with a raise every month after that. you can choose a 400$ raise or a 15% raise. which option would you choose? what if the raise were 10%,8% or 5%
Answer:
I would choose the $400 raise
Step-by-step explanation:
Well 15% of 2000 would be $300 dollar raise so i would choose the $400 dollar raise instead of the $300 raise because I get more money.
If it was a 10% raise you would get $200 dollar raise
If it was 8% raise you would get $160 dollar raise
And if it was a 5% raise you would get a $100 dollar raise
The correlation between two scores X and Y equals 0.75. If both scores were converted to Z-scores, then the correlation between the z-scores
for X and z-scores for Y would be
-0.75
0.25
-0.25
0.0
0.75
Answer:
(e) 0.75
Step-by-step explanation:
The correlation coefficient is not affected by translation or scaling of scores. Converting them from "raw scores" to z-scores does not affect their correlation.
The correlation coefficient of the z-scores is 0.75.
In ΔVWX, x = 110 inches, v = 700 inches and ∠W=9°. Find ∠X, to the nearest degree.
The value of ∠X in triangle VWX ( ΔVWX) to the nearest degree is 2 degrees.
The angle X can be found using the cosine rule.
Cosine rulew² = x² + v² - 2xv cos W
w² = 110² + 700² - 2 × 110 × 700 cos 9°
w² = 12100 + 490000 - 154000 cos 9°
w² = 502100 - 154000 × 0.98768834059
w² = 502100 - 152104.004452
w = √349995.995548
w = 591.604593921
w = 591.60 inches
Using sine rule, let's find ∠X
Sine rule
110 / sin X = 591.60 / sin 9°
Therefore,
110 sin 9 = 591.60 sin X
sin X = 110 sin 9 / 591.60
sin X = 110 × 0.15643446504 / 591.60
sin X = 17.2077911544 / 591.60
X= sin⁻¹ 0.02908686807
∠X = 1.66678986656
∠X = 2 degrees
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