A ratio shows the relation between two numbers. The amount of more material that is needed by Jake is 42.5 cm³.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the volume of the first prism is 14.5cm³, while the scale factor is 4. Since the scale factor is applicable to dimension, and volume is always the cube of three-dimension.
Therefore, the volume of the scaled prism will be the cube the of the volume of the first prism, which can be written as,
[tex]\rm \text{Volume of the Scaled prism}= (Scale\ factor)^3 \times \text{Volume of the first prism}[/tex]
Substitute the values,
[tex]\rm \text{Volume of the Scaled prism}= 4^3 \times 14.5 = 928\ cm^3[/tex]
Since, the volume of material with Jake is 900 cm³, while the material he has already used is 14.5 cm³, thus the volume of the material that is left with Jake is 885.5 cm³(900cm³-14.5cm³).
Now, since the material needed to make the scaled prism is 928 cm³, the amount of material that is with Jake is 885.5 cm³, therefore, the amount of the material that is needed by Jake to complete the scaled prism can be written as,
The Amount of more material Needed by Jake = Amount of material needed to make the scaled prism - Amount of material left with Jake
The Amount of more material Needed by Jake = 928 cm³ - 885.5 cm³
= 42.5 cm³
Hence, the amount of more material that is needed by Jake is 42.5 cm³.
Learn more about Ratios:
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Please help! : )
What are the two acute angles?
What is the domain of the following {(1,3),(2,7),(3,-1)
Answer: this is a function.
f(x)=y
Step-by-step explanation:
domain -> 1,2,3
values: 3,7,-1
THIS IS VERY NEEDED! I AM VERY CONFUSED AND I HAVE A TEST PLEASE HELP ME! I WILL GIVE BRAINLIEST AND 20 POINTS IS OFFERED!
Answer:
the answer is -6.8°
Step-by-step explanation:
-36°+-25°+12°+-3°+18°/5°
-34°÷5°=-6.8°
Make as Braniliest!
What is 25 time 39 divided by 2150?
Answer:
Approx 0.453488372
Step-by-step explanation:
You can get this with a calculator.
25 × 39 = 975
975÷2150≈ 0.453488372
I'm not sure if I'm supposed to round this or not, so I won't. If you need it rounded, comment, and I will!
I would love brainliest!!!!
If someone has 8 fl. oz. of 16% wine, how many standard drinks has that person consumed?
Answer must be a number below 6
Answer:
2.1 standard drinks
(or 2 if you need to round to the nearest whole number)
Step-by-step explanation:
The ABV (alcohol by volume) percentage is a measure of the amount of pure alcohol (as a percentage) of the total volume of liquid in a drink.
So for 16% wine, this means that 16% of the volume of the wine is pure alcohol.
Therefore, if 16% of 8 fl oz is pure alcohol, this means that 1.28 fl oz of the 8 fl oz is pure alcohol (since 0.16 × 8 = 1.28).
One standard drink ≈ 0.6 fl oz pure alcohol
To calculate the number of standard drinks, divide the total amount of pure alcohol found by the amount in one standard drink:
1.28 ÷ 0.6 = 2.1
Therefore there is approximately 2.1 standard drinks in 8 fl oz of 16% wine.
Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 2.5 in, x = 5 in, y = 5 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth
You have a circle with a circumference of 25.12 what is the radius?
Answer:
r 4 3.99797
Step-by-step explanation:
Hey ! there
Answer:
Radius = 4Step-by-step explanation:
In this question we have given that a circle have a circumference of 25.12 . And we are asked to find the radius of the circle .
We have to solve this question with the help of circumference formula for circle that is ,
[tex] \qquad\: \quad\underline{\boxed{ \frak{{Circumference_{(Circle)} = 2\pi r}}}}[/tex]
Where ,
π refers to 3.14 or 22/7r refers to radius of circleSolution : -
For solving the question we must have to substitute value of π , radius and then we have to equate it with given circumference that is 25.12. So ,
[tex] \longmapsto \qquad \:\: 2 \times 3.14 \times r = 25.12[/tex]
Step 1 : By multiplying 2 , 3.14 and r , We get :
[tex] \longmapsto \qquad \: \:6.28r = 25.12[/tex]
Step 2 : Dividing with 6.28 on both sides :
[tex] \longmapsto \qquad \: \: \dfrac{ \cancel{6.28}r}{ \cancel{6.28}} = \cancel{\dfrac{25.12}{6.28} }[/tex]
On further calculations, We get :
[tex] \longmapsto \qquad \: \: \pink{\underline{\boxed{ \frak{r = 4}}}}[/tex]
Henceforth , radius of circle is equal to 4 .Verifying : -
Now we are verifying our answer by finding the circumference of circle and equating it with 25.12 and if it will equal to 25.12 then our answer is correct . So ,
2πr = 25.122 × 3.14 × 4 = 25.126.28 × 4 = 25.1225.12 = 25.12L.H.S = R.H.SHence, Verified.Therefore our answer is correct .
Please Note : We aren't using any unit for the values because in the question no units are provided .
#Keep LearningCheck
Match the algebraic expression on the left to the correct value when evaluated on the right.
j+ş evaluate when= 1
350
n
7
evaluate when n = 35
to
up
5
70a: evaluate when a = 5
1.5
X-9; evaluate when x = 10.5
11
12
Answer:
I showed the answers in the pic above ^
Step-by-step explanation:
I hope this helps you!
Answer:
Step-by-step explanation:
Find the product of 3 1/5 and 5/8.
Express your answer in simplest form.
answer:ok
there are 3 and one fith apples
he need 4
apples
he adds 5/8
apples to his basket
how many apples doess he end up with
Step-by-step explanation:you add them together
Which expressions have the same value as 15% of 20
Answer:
3
Step-by-step explanation:
I hope its helped<8 thank you
Given m||n, find the value of x.
PLEASE ANSWER ASAP
WILL GIVE BRANLIEST
Since the horizontal lines are parallel, we can set the angles equal to each other. So...
7x - 1 = 8x - 14
Solving for x...
x = 13
hello people ~
factorise: x ^ 2 = 17x + 60
Answer:
[tex]\rightarrow \sf x^2=\:17x\:+\:60[/tex]
change sides
[tex]\rightarrow \sf x^2 -17x -60 = 0[/tex]
breakdown, (60 : 20 * 3)
[tex]\rightarrow \sf x^2 -20x +3x-60 = 0[/tex]
factor the following
[tex]\rightarrow \sf x(x -20) +3(x-20) = 0[/tex]
collect into groups
[tex]\rightarrow \sf (x +3)(x-20) = 0[/tex]
final answer
[tex]\rightarrow \sf x=-3, \ 20[/tex]
Answer:
(x-20) (x+3) =0
Step-by-step explanation:
x ^ 2 = 17x + 60
Subtract 17x from each side
x ^ 2 - 17x = 60
Subtract 60 from each side
x ^ 2 - 17x - 60=0
What 2 numbers multiply by -60 and add to -17
-20 * 3 = -60
-20 +3 = -17
(x-20) (x+3) =0
Seven more than the quotient of a number b and 45 is greater than 5.
Answer/Step-by-step explanation:
Given:
Seven more than the quotient of a number b and 45 is greater than 5
So:
Seven more than the quotient of a number b and 45 is greater than 5
=
7 + b/45 > 5
Solve if needed:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:b > -90\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-90,\:\infty \:\right)\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}[/tex]
[tex]7+\frac{b}{45}-7 > 5-7[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{b}{45} > -2[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}45[/tex]
[tex]\frac{45b}{45} > 45\left(-2\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]b > -90[/tex]
~Lenvy~
In a recent year, 27.6% of all registered doctors were female. If there were 59,100 female registered doctors that year, what was the total number of registered doctors?
Answer:
214130
Step-by-step explanation:
27.6 /100 = 59100 / x
x = 214130
The principle quantum number value for the valance electron in the element n
Quantum numbers describe the states of electrons in their respective orbitals in an atom.
What is a Quantum number?Quantum numbers are mathematical descriptions that show the possible states of an electron.
There are four types of quantum number
principal quantum number (n)
angular momentum quantum number (l)
magnetic quantum number (ml)
spin quantum number (ms)
The values for the principal quantum number (n) are integers greater than zero.
The values for the angular momentum quantum number (l) are integers from 0 to n - 1.
The values for the magnetic quantum number (ml) are integers from -l to l.
The values for the spin quantum number (ms) are -1/2 and 1/2.
Learn more about quantum numbers:
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Find the value of log 1 2 462 to four decimal places. –8.8517 –0.1130 0.1130 8.8517
The logarithm value of log 1/2 462 to four decimal places is –8.8517.
What is a logarithm?The logarithm is the mathematical inverse function to exponentiation.
The logarithm of a number x is the exponent to another fixed term.
It is given the log of 462 to a base of 1/2.
[tex]log_{0.5} 462 = \frac{log462}{log0.5}[/tex]
= –8.8517
Therefore, the logarithm value of log 1/2 462 to four decimal places is
–8.8517.
Learn more about logarithm :
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I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!
1. The table shows values of a function f (x). What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.
x | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
f(x) | -4 | -2 | 8 | 10 | 11 | 14 | 18 |
2. Given [tex]f(x)=4x^2 +6x[/tex] and [tex]g(x)=2x^2 + 13x + 15[/tex], find [tex](\frac{f}{g})(x).[/tex] Show your work.
3. Given[tex]f(x)=x^2 - 6x + 8[/tex] and [tex]g(x)=x-2[/tex], solve [tex]f(x)=g(x)[/tex] using a table of values. Show your work.
Much thanks and appreciation!
Answer:
y=0.9x-45
Step-by-step explanation:
When you substitute the values of x you have to get same values as given in the table
For example: substitute x=50 in the equation y=0.9x-45
Y= 0.9(50)-45
Y= 45-45
Y=0
Step-by-step explanation:
What is the value of q in the equation 59 - 10 = 75?
Answer:
[tex]\bf A)\;17[/tex]
Step-by-step explanation:
[tex]\tt 5q-10=75[/tex]
[tex]\tt 5q-10+10=75+10\;\; \bf\; Add\;10\:to\:both\:sides[/tex]
[tex]\tt 5q=85\;\;\;\bf Simplify[/tex]
[tex]\tt \cfrac{5q}{5}=\cfrac{85}{5}\;\;\; \bf Divide\:both\:sides\:by\:5[/tex]
[tex]\tt q=17\;\; \;\bf Answer[/tex]
------ " ☆ "
Solve the equation and enter the value of x below.
6x + 7 = 43
X =
6x + 7 = 43
6x + 7 - 7 = 43 - 7
6x = 36
x = 36/6
x = 6
check
6 * 6 + 7 = 36 + 7 = 43
Answer:
x=6
Step-by-step explanation:
6x+7=43
6x=43-7
6x=36
6x/6=36/6
x=6
hope dis helps!!!!!
will give brainiest IF CORRECT
Simplify the expression 7+(9+x)
Answer: = 16 + x
Please mark brainliest, it helps alot
Step-by-step explanation:
==============================================================
Combine Like Terms:-
[tex]\bigstar{\boxed{\pmb{7+9x+x}}[/tex]
[tex]\bigstar{\boxed{\pmb{16+x}}[/tex]
Are there any more like terms? No, because 16 & x aren't like terms.
========================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly comment, and I will comment and/or edit my answer :)
please help me with complement or supplement of an angles.
In the figure below, =m∠263°. Find m∠1.
Answer:
117
Step-by-step explanation:
This is an example of a supplementary angle, so in total it is 180 degrees. Subtract what we know angle 2 is, 63, and we are left with what angle 1 equals, which is 117.
Hope this helps! pls mark brainliest
2. the lengths of 10 pencils, in centimeters: 18, 15, 4, 9, 14, 17, 16, 6, 8, 10 median: lower quartile: upper quartile:
Answer:
Lower Quartile: 7
Median: 12
Upper Quartile: 16.5
Step-by-step explanation:
First, to find anything you must reorganize the numbers according from smallest to biggest. In this case, it would be:
4, 6, 8, 9, 10, 14, 15, 16, 17, 18
Let's find the median first. The median is in the middle of the data set, and there are 10 numbers in this data set. We need to find the middle of two numbers to find the median, 10 and 14, which would be 12.
To find the lower quartile, you must look at the numbers below the median. Those would include 4, 6, 8, and 9. There is a even number of digits, meaning that we might find the middle of two numbers, 6 and 8, which is 7.
Then, the Upper Quartile which is the same process. Look at 15, 16, 17, and 18. It is a even number of digits so we need to find the middle of 16 and 17, which would equal 16.5.
Hope this helped!
whats 2 plus 2 i am in first grade
Answer:
4
Step-by-step explanation:
2+2=4
I hope this helps you!!
HELP ASP PLEASE math
Answer: D
Step-by-step explanation:
[tex]3x^2-x+2=0[/tex]
[tex]\text{Solve \ with \ the \ quadratic \ formula \mathrm{for\:}\quad a=3,\:b=-1,\:c=2}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2}}{2\cdot \:3}[/tex] [tex]\rightarrow \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2} =\sqrt{1-24} =\sqrt{-23} =\sqrt{-1}\sqrt{23} =\sqrt{23}i[/tex]
[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{23}i}{2\cdot \:3}[/tex]
[tex]x_1=\frac{-\left(-1\right)+\sqrt{23}i}{2\cdot \:3},\:x_2=\frac{-\left(-1\right)-\sqrt{23}i}{2\cdot \:3}[/tex]
[tex]x_1=\frac{1+\sqrt{23}i}{6},\:x_2=\frac{1-\sqrt{23}i}{6}[/tex]
Which equation matches the table TOP: 4,8,12,16 BOTTOM:8,12,16,20
Answer:
C. b= a+4
Step-by-step explanation:
ASAP PLS An angle measures 72.6° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
Gabe's math class starts at 12:15 P.M. and lasts for 1 hour and 30 minutes. After math class, Gabe has recess for 15 minutes. What time does Gabe's recess end?
please help n explain ily
Answer:
Ends at 2:00
Step-by-step explanation:
12:15 + 1:30 = 13:45.
13:45 + 00:15 = 14:00
14 - 12 = 2
Recess ends at 2:00
Answer:
2p
Step-by-step explanation:
ok so 12:15 + 1 hour = 1:15pm
1:15pm + 30 minutes = 1:45pm
so that's the time that class ends at.
now Gabe has recess for 15 minutes.
so 1:45pm + 15 minutes = 2pm
Gabe's recess finishes at 2pm
hope that helps : )
PLEASE ANSWER QUICKLY!!! Find the area of the following shape
Answer:
30 cm²
Step-by-step explanation:
You want to know the area of the given shape.
ParallelogramThe formula for the area of a parallelogram is ...
A = bh
A line from B to E divides the figure into two congruent parallelograms, each having a base of 5 cm and a height of 3 cm.
The area of the figure is ...
A = 2 × (5 cm)(3 cm) = 30 cm²
__
Additional comment
If you draw a line from F to D you get a triangle FED that perfectly matches the space ABC. Moving ∆FED to fill ∆ABC transforms the figure into a rectangle that is 5 cm high and 6 cm wide. Its area is (5 cm)(6 cm) = 30 cm².
<95141404393>
Number two and explain
Step-by-step explanation:
It should be tan(k)=32/40
Tangent is opposite/adjacent and 24/32 is adjacent/opposite which is not a trig function.