Answer: 63.2 cm³
Step-by-step explanation:
The tank was 3/4 filled up when the stones were dropped in. This means that the stones had to first get the water level to 4/4 before it could begin to spill. Then after it spilled, it still spilled 180 cm³ of water.
This means that the stones took 1/4 of the total prism and then 180 cm³ as well.
The volume of the 25 identical stones is therefore:
= (5,600 * 1/4) + 180
= 1,580 cm³
The volume of each individual stone is:
= 1,580 / 25
= 63.2 cm³
14 A runner jogs 9 miles north and then 6 miles east. What is the shortest distance, to the nearest tenth of a mile, the runner must travel to return to their starting point?
Hello what x of a triangle
Solving for X in a Right Triangle
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X
If you have more expenses than income, which is NOT a good way to balance your budget?
A-Decrease income.
B-Increase income.
C-Decrease expenses.
D-Borrow money with a repayment plan.
a d
.....................................................
4 Amanda's bedroom is a rectangle 415 cm long by 295 cm wide.
a work out the area of Amanda's bedroom. Give your answer in square metres (m?).
Show how to use estimation to check your answer.
Carpet costs $24 per square metre.
It is sold in whole numbers of square metres.
b How much will it cost Amanda to buy carpet for her bedroom floor?
Show how to use inverse operations to check your answer.
Answer:
1) 12.2425 square meters
2)$288
Step-by-step explanation:
According to the problem, we have a rectangle bedroom with 415cm long by 295cm width.
We know that 1cm = 0.01 m
Length of bedroom: 415 x 0.01 = 4.15m
of bedroom: 295 x 0.01 = 2.95m
area of rectangle: Length x Width
Area: 4.15 x 2.95 = 12.2425 square meters
We have a cost of carpet 24 per square meter is given from the problem.
we now know that it is in a whole number so we divide by 2 to get it square
A= 12m (squared)
now we multiply 12 and 24
we get $288
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
bonjour svp aide moi
Exercice 7: mon et nop sont deux angles adjacents supplémentaires tel que mOn = 60°.
1°) Calculer nOp.
Answer:
n0p = 120°
Step-by-step explanation:
m0n + n0p = 180°
60° + n0p = 180°
n0p = 120°
PLEASE HELP! WILL MARK BRAINLIST!
find the unknown side length, X. round your answer to the nearest tenth.
A) 15
B) 15.8
C) 24.3
D) 16.7
Answer:
x = 15.8
Step-by-step explanation:
9 is greater than or equal to -16
Are these lines parallel,perpendicular or neither ? Y=(-4/3)xt18y=(4/3)x-6
Answer:
neither
Step-by-step explanation:
when slopes are the same its parallel
when slopes are multiplied and it equals -1 they are perpendicular
Tell whether f(x)=−5x^2+10x+7 has a minimum value or a maximum value.
Answer:
has a maximum value
Step-by-step explanation:
.............
Answer:
maximum value
Step-by-step explanation:
Mrs. Smith calls customer care after she receives her phone bill. Her bill is normally $40. 00 per
month, however, this month it is $110. 0. Mrs. Smith negotiates a 50% credit of the difference
between the normal charge of $40. 00 and the current balance of $110. 0. How much will Mrs.
Smith be responsible for paying?
Mrs. Smith will be responsible for paying $75.00
The normal monthly charge is $40.00 and the current balance is $110.00,
so the difference is $110.00 - $40.00 = $70.00.
Mrs. Smith negotiated a 50% credit, so she will receive
$70.00 x 0.50 = $35.00 credit.
To find the amount she is responsible for paying, we subtract the credit from the current balance
$110.00 - $35.00 = $75.00
Thus, the amount Mrs. Smith will be responsible for paying is $75.00
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A number, X, rounded to 1 decimal place is 3,7
Write down the error interval for x,
Answer:
The error interval for x is:
[3.65,3.74]
Step-by-step explanation:
The number after rounding off is obtained as:
3.7
We know that any of the number below on rounding off the number to the first decimal place will result in 3.7:
3.65 3.66 3.67 3.68 3.69 3.70 3.71 3.72 3.73 3.74
( Because if we have to round off a number present in decimals to n place then if there is a number greater than or equal to 5 at n+1 place then it will result to the one higher digit at nth place on rounding off and won't change the digit if it less than 5 )
Hence, the error interval is:
[3.65,3.74]
Rich added 26.2 milliliters of water to a solution in science class. The directions said to add 22.6 milliliters of water. What was the percent error (to the nearest hundredth percent) in the amount of water Rich added
The percent error in the amount of water Rich added is 15.93%.
What is meant by percentage error?When compared to the actual value, the percent error is the difference between the estimated and actual values.
The difference between the estimated value and the actual value in relation to the actual value is given as a percentage and is known as the percent error. In other words, the relative error times 100 equals the percent error.
Given that Rich added water to a solution in science class is 26.2 milliliters
Whereas the directions said to add water is 22.6 milliliters
The amount of water that is added more is 26.2 -22.6 = 3.6 milliliters
The percent error is = (3.6/22.6)*100%
The percent error is = 15.9292*100%
Therefore, the correct answer is option b) 15.93%.
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Find the sum of the following series:
Answer:
The sum is 2635
Step-by-step explanation:
I did this problem
Can you help me with this
Answer:
y = 3/2x - 3
Step-by-step explanation:
first find slope (m):
m = (-3/2 -(-15/2)) / (1 - (-3)) = (12/2) / 4 = 6/4 = 3/2
plug the point (1, -3/2) into the point-slope form (y-y1) = m(x-x1):
y - (-3/2) = 3/2(x-1)
y + 3/2 = 3/2x -3/2
now put it in slope-intercept form y = mx + b:
y = 3/2x -6/2
y = 3/2x - 3
help please!! this is for tonight, I don't know how to use the "undefined" please help
The equation of the line in slope-intercept form, with the point (4, -5) and an undefined rate of change is x = 4.
What is the slope-intercept form?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope or rate of change.x and y represents the data points.c represents the y-intercept.In Mathematics, any line that has an undefined slope (rate of change) is a vertical line because it does not have a y-intercept. This ultimately implies that, a vertical line that is parallel to the y-coordinate (y-axis) would have an undefined slope (rate of change).
Generally speaking, the equation of a line that has an undefined slope (rate of change) is given by this mathematical expression;
x = a
Where:
a represents the x-intercept.
At point (4, -5), the required equation with an undefined slope (rate of change) is x = 4.
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I'm need help asap! i dont get the question, i would appreciate it if somebody could help me( giving brainilest & 20 points)!!!
Look at picture below
Answer:
81/100 is the answer I believe if I'm wrong my bad
Answer:
81/100
Step-by-step explanation:
brainliest pls
Find the measure of angle A.
110°
O 80°
O 105°
O 30°
O100°
14 + 6x
A
3x-3
Answer:
[tex]80^{\circ}[/tex]
Step-by-Step Explanation:
The interior angles of the triangle are [tex]70^{\circ}, (14+6x)^{\circ}[/tex], and [tex](3x-3)^{\circ}[/tex].
Angles in a triangle add to [tex]180^{\circ}[/tex].
[tex]70+14+6x+3x-3=180 \\ \\ 81+9x=180 \\ \\ 9x=99 \\ \\ x=11[/tex]
So, [tex]m\angle A=14+6(11)=80^{\circ}[/tex].
Find the 10th term of the geometric sequence 3, 15, 75, ...
Answer:
5,859,375
Step-by-step explanation:
a10 = 3×5^9 = 3×1,953,125
= 5,859,375
Answer:
5,859,375
Step-by-step explanation:
Given :-
A geometric sequence is given to us which is 3 , 15 , 75 .And we need to find out the 10th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .
Common Ratio :-
[tex]:\implies[/tex] CR = 15 ÷ 3 = 5
The 10 th term :-
[tex]:\implies[/tex] T_n = arⁿ - ¹
[tex]:\implies[/tex] T_10 = 3 × 5 ¹⁰ - ¹
[tex]:\implies[/tex] T_10 = 3 × 5⁹
[tex]:\implies[/tex] T_10 = 3 × 1953125
[tex]:\implies[/tex] T_10 = 5859375
Hence the 10th term is 5,859,375
8^x/2 divided by 4^x/3 equals 2^-5/2
The solution to the exponential equation 8^(x/2)/4^(x/3) = 2^(-5/2) is given as follows:
x = -6/5.
How to solve the exponential equation?The exponential equation for this problem is defined as follows:
[tex]\frac{8^{\frac{x}{2}}}{4^{\frac{x}{3}}} = 2^{-\frac{5}{2}}[/tex]
Both 8 and 4 are powers of 2, as follows:
8 = 2³.4 = 2².Applying the power of power rule (multiplying the exponents), the expression on the left side can be rewritten as follows:
[tex]\frac{2^{\frac{3x}{2}}}{2^{\frac{2x}{3}}} = 2^{-\frac{5}{2}}[/tex]
When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents, hence:
[tex]\frac{2^{\frac{3x}{2}}}{2^{\frac{2x}{3}}} = 2^{\frac{3x}{2} - \frac{2x}{3}}[/tex]
The subtraction is obtained as follows:
3x/2 - 2x/3 = 9x/6 - 4x/6 = 5x/6.
(as the least common factor of 2 and 3 is of 6).
Then the simplified expression is of:
[tex]2^{\frac{5x}{6}} = 2^{-\frac{5}{2}}[/tex]
As the exponential function y = 2^x is injective, the solution is obtained as follows:
5x/6 = -5/2.
10x = -12
x = -6/5.
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Which of the following is a chord
What is the relationship between points and lines?
Answer:
Points identify starting and ending positions, and a line (in this case line segment) connects such points to show the distance between the two points.
Step-by-step explanation:
Find the measure of angle 1
A. 90 degrees
B. 30 degrees
C. 120 degrees
D. 60 degrees
Answer:
120
Step-by-step explanation:
So there are two ways of doing this.
The easiest, we know that the biggest of 30, 60 and 90 degrees is 90.
We know that a right angle is 90 degrees.
The 1 angle is clearly bigger than 90 degrees.
So it must be 120.
The actual way of solving:
The mini trinalge that has the 90 degree angle in it is a 30, 60, 90 trinalge.
We know that the 3 is the 30 degree angle on the trinalge.
We know that the angle on the opposite side of the dotted line must be 30 as well.
Since thats 30, the opposite side of the dotted part of thr traingle must be 30 as well.
This means that the other two angles are 60 which you subtract from 180
This leaves 120
So 120 degree angle is the answer
Sorry if this is confusing I hope this helps!
There are 18 counters divided equally among 3 groups. How many counters are in each group?
If the m<1 = 17x - 30, and the <2 = 7x + 18, what is the value of x?
The value of x is 8.
What are supplementary angles?Angles are formed whenever two or more straight lines intersect. These angles produced thus have individual and some common properties of which some can add up to form complementary angles, or supplementary angles.
Two angles are said to be supplementary if the value of their sum add up to 180^o.
From the given question, we can deduce that;
m<1 + m<2 = 180^o (definition of complementary angles)
(17x - 30) + (7x + 18) = 180^o
17x - 30 + 7x + 18 = 180^o
24x - 12 = 180
24x = 180 + 12
24x = 192
x = 192/ 24
= 8
x = 8
The value of x is 8.
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find the equation of a line perpendicular to 2y=6-2x that passes through point (6,-7)
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]2y=6-2x\implies 2y=-2x+6\implies y=\cfrac{-2x+6}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -1 \implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1} \implies 1}}[/tex]
so we're really looking for the equation of a line whose slope is 1 and it passes through (6 , -7)
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{ 1}(x-\stackrel{x_1}{6}) \implies y +7= 1 (x -6) \\\\\\ y+7=x-6\implies {\Large \begin{array}{llll} y=x-13 \end{array}}[/tex]
The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear.
Time (min), x Distance (m), y
5 1,930
10 1,380
15 830
20 280
The equation of the function in the form y=mx+b is y = 110x-2020
Adaptation of function speed
A line's equation is written as mx + b = y, where m denotes the rate of change or slope.
The intercept is B.
utilizing the coordinates
Calculate the slope.
m = 550/5
m = 110
The intercept for
280 + 110(20) + b
280 = 2200 + b
b = 180 - 2200
b = -2020
The equation for the function of the type y=mx+b is hence y = 110x-2020.
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The complete question would be:
The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+b
Simplify the expression: 4.9x - 5 - 5.6x - 6 + 4.6g
Answer:
= -0.7x-11+4.6g
Step-by-step explanation:
hope this helps :)
Answer:
−0.7x − 11 + 4.6g
Step-by-step explanation:
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Rafael and his sister bought snacks at a discount store for movie night. Rafael got 3 boxed candies and 1 bag of chips for $3. 82. His sister got 2 bags of chips and 1 boxed candy for $2. 69. Find the cents for each item find the cost of each item
The cost of each box of candy is 31 cents and the cost of each bag of chips is 69 cents.
To find the cost of each box of candy, we first need to find the total cost for all items. We know that Rafael and his sister spent a total of $3.82 + $2.69 = $6.51 on snacks. Since Rafael bought 3 boxes of candy and 1 bag of chips, and his sister bought 2 bags of chips and 1 box of candy, there were a total of 3 + 2 = 5 bags of chips and 3 + 1 = 4 boxes of candy bought.
To find the cost of each box of candy, we divide the total cost for all boxes of candy by the number of boxes of candy: $6.51 / 4 = $1.63 or 163 cents. To find the cost of each bag of chips, we divide the total cost for all bags of chips by the number of bags of chips: $6.51 / 5 = $1.30 or 130 cents.
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Someone please help me and show how you did it (you can use app that solves it I just need the answer and how it got the answer)
Answer:
Step-by-step explanation:
5. P-4=-4
P-4+4=-4+4=0
P=0
help ! i should really pay attention in class
Answer:
I think its b
Step-by-step explanation: