Answer:The weight of Euclid is 10.625 pounds, and the weight of Riemann is 21.25 pounds.
Let the current weight of Euclid = x
Let the current weight of Pythagoras = T
Let the January weight of Pythagoras = y
The expression that represents the given scenario is written as;
when Pythagoras lost 13 pounds: T = y - 13
when Pythagoras gains 1.2 times Euclid's weight: = T + 1.2x
when Pythagoras weight is 1/4 pound less than weight in January:
T + 1.2x + 0.25 = y
y- 13 + 1.2x + 0.25 = y
1.2x - 12.75 = 0
Euclid's weight is calculated as follows;
1.2x = 12.75
The weight of Riemann is calculated as follows;
Please help loves <3 :)
Answer:
4155 years
Step-by-step explanation:
The exponential equation can be solved by using logarithms to transform it to a linear equation.
The problem statement tells you that for some initial amount of C-14 equal to N0, the remaining amount is N = 0.66N0. That means the equation you need to solve is ...
0.66 = e^(-0.0001t) . . . . . . factor of N0 in 0.66N0 and N0·e^() divided out
Taking natural logs, you have ...
ln(0.66) = -0.0001t
t = -ln(0.66)/0.0001 ≈ 4155
The age of the spear head is about 4155 years.
Solve for x. Please look at the picture and answer it. Thank you.
45+63+(4x-12)= 180°
96+4x = 180°
4x=84
x = 21
Question: write an equation for each parabola with vertex at the origin
Problem: through (3,2); symmetric with respect to the x axis
Step-by-step explanation:
Since the axis of symmetry is the x axis, we have a sideways parabola,
[tex] {y}^{2} = x[/tex]
Since the vertex is at the orgin, our answer will be
[tex]a(y - k) {}^{2} + h = 0[/tex]
[tex]a {y}^{2} = x[/tex]
It passes through (3,2).
[tex]a(2) {}^{2} = 3[/tex]
[tex]a(4) = 3[/tex]
[tex]a = \frac{3}{4} [/tex]
So our function is
[tex] \frac{3}{4} {y}^{2} = x[/tex]
Answer:
[tex]x=\dfrac34y^2[/tex]
Step-by-step explanation:
A graph with x-axis symmetry means that for every (x, y) point there is also a (x, -y) point on the graph, i.e. the x-axis acts like a mirror. Therefore, it is a sideways parabola.
The general form of this type of equation is [tex]x=ay^2+by+c[/tex]
Since we know that the curve has a vertex of (0, 0) then [tex]c=0[/tex]
Therefore, [tex]x=ay^2+by[/tex]
Given that (3, 2) is on the curve, then (3, -2) is also on the curve.
Substituting the given point (3, 2):
[tex]3=a(2)^2+b(2)[/tex]
[tex]3=4a+2b[/tex]
Substituting the given point (3, -2)
[tex]3=a(-2)^2+b(-2)[/tex]
[tex]3=4a-2b[/tex]
Adding the equations together to eliminate [tex]b[/tex]:
[tex]\implies 6=8a[/tex]
[tex]\implies 3=4a[/tex]
[tex]\implies a=\dfrac34[/tex]
Therefore,
[tex]x=\dfrac34y^2+by[/tex]
Again, substituting point (3, 2) means that b = 0
Therefore, the final equation is:
[tex]x=\dfrac34y^2[/tex]
rewrite each equation without absolute value
y=|x-3|+|x+2|-|x-5| if x>5
Answer: y = x + 5
Step-by-step explanation:
If x>5:
Then all of these values will be positive. So the absolute value symbols are unnecessary!
so we can re-write as:
y = x-3 + x+3 - x + 5
which simplifies to:
y = x + 5
The equation is rewritten without absolute value is y=3x-6.
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.
The given equation is y=|x-3|+|x+2|-|x-5|.
Here, y=x-3+x+2-x-5
y=3x-6
Therefore, the equation is rewritten without absolute value is y=3x-6.
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If w = 2, x = 6, y = 4, and z = 3, what is the value of 2w2 + 8x ÷ 3y – 4z?
a.0
b.2
c.4
d.8
Answer:
the answer is 8
Step-by-step explanation:
I'm right, i know that for sure
Write the missing numbers 0.25=25/____
Answer:
25%
Step-by-step explanation:
Given the following question:
0.25 = 25__
To find the answer simply convert the decimal into a percent by multiplying the decimal by a hundred.
0.25 = 25_
[tex]0.25 \times100=25[/tex]
[tex]=25[/tex]
0.25 is equal to "25%."
Hope this helps.
Answer:
100
Step-by-step explanation:
25/100=.25
Hope this helps you! (:
Find the inverse of the function.
y = 2x2-4
Step-by-step explanation:
x and y trade places.
y = 2x² - 4
y + 4 = 2x²
x² = (y + 4)/2
x = ±sqrt((y + 4)/2)
and for the usual notation we rename x to y and vice versa
y = ±sqrt((x + 4)/2)
and this is not a function, because there are now 2 result values for every input value.
A high school auditorium seats 110 people. The school play has 106 people in attendance leaving 4 seats empty.
because the order in which
There are
the seats are chosen
ways that 4 seats can be left empty in the auditorium. This is a
important.
Answer:
5773185
Step-by-step explanation:
There are 110 seats
110 ways to choose the first empty seat
Now there are 109 seats
109 ways to choose the next empty seat
Now there are 108 seats
108 ways to choose the next empty seat
Now there are 107 seats
110*109*108*107=138556440
Now the order of the empty seats doesn't matter so we need to divide by 4!
138556440/ 4!
138556440/ 24
5773185
state the the roots of y=x^2+8x
Answer:
The roots of the given equation are x = 0 and x = -8.
General Formulas and Concepts:
Algebra I
Terms/Coefficients
Factoring/ExpandingQuadratic Equations
Solving quadratic equationsStep-by-step explanation:
Step 1: Define
Identify.
y = x² + 8x
Step 2: Find Roots
[Quadratic] Factor: y = x(x + 8)[Quadratic] Set up [Solve]: 0 = x(x + 8)[Quadratic] Define: x = 0, -8∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.
---
Topic: Algebra I
Someone Help me on these
Solve the following:
a) 2(5x - 3) = 24
Answer:
x=3
Step-by-step explanation:
[tex]2(5x - 3) = 24\\\\10x-6=24\\\\10x=24+6\\\\10x=30\\\\x=30/10\\\\x=3[/tex]
Answer:
open the bracket by multiplying everything in the bracket by2
then you get
2×5x-2×-3=24
10x-6=24
10x=24+6
10x=30
x=3
a Gerardo and Natalie are selling boxes of fruit for a Habitat for Humanity fundraiser. Customers can buy small boxes of fruit and large boxes of fruit. Gerardo sold 16 small boxes of fruit and 14 large boxes of fruit for a total of $343.00. Natalie sold 13 small boxes of fruit and 23 large boxes of fruit for a total of $470.50. Find the cost of one small box of fruit and the cost of one large box of fruit. Cost of small box: $ Cost of large box:
Step-by-step explanation:
x = cost of a small box
y = cost of a large box
16x + 14y =343
13x + 23y = 470.5
now we multiply both equations with factors so that we have the same number of x in both (we could the same for y, but I simply picked x, because their original factors are closer and smaller).
and then we subtract the second equation from the first and since the result for y.
13 × (16x + 14y = 343)
16 × (13x + 23y = 470.5)
gives us
208x + 182y = 4459
- 208x + 368y = 7528
----------------------------------
0x - 186y = -3069
186y = 3069
y = $16.50
now let's pick e.g. the first original equation to get x :
16x + 14y = 343
16x + 14×16.5 = 343
16x + 231 = 343
16x = 112
x = $7.00
the cost of a small box is $7.00
the cost of a large box is $16.50
Determine if true:
2x6-3=10
Answer:
False
Step-by-step explanation:
2x6=12
2x6=1212-3=9
Hence, the equation is false.
The product of 6 and 2 decreased by 1
Answer:
11
expression: 6(2)-1
Step-by-step explanation:
6*2=12
12-1=11
here a subtraction problem that has been solved correctly for 68-59=9 but the choices is 9+68=77 68+9=77 9+59=68 which one is the addition sentence that checks the subtraction problem
Answer:
9+59=68
Step-by-step explanation:
Each subtraction problem has a dual addition problem that can be used for checking. In general, that dual problem will add the subtrahend back to the difference to get the minuend.
Here we have ...
original problem: 68 -59 = 9
dual problem for checking: 9 +59 = 68
1.) For a project, Guadalupe needs 3/4 of a foot of ribbon. She has a piece that is 1/8 of a foot. How much more ribbon does she need for her project?
Answer:
5/8 ft more
Step-by-step explanation:
3/4-1/8=5/8
6/8-1/8=5/8
What is the m<6 if m<2=75
Answer:
ngle 6 is 30 degrees. Angle 6 and angle 7 are vertical angles, so they are equivalent. Also, Angle 7 and angle 5 are supplementary, so angle 5 is 180-30 = 150 degrees.i think it is the answer
a cylindrical-shaped water storage tank with diameter 60 ft and height 20 ft needs to be painted on the outside. if the tank is on the ground, find the surface area that needs painting
Answer:
6600ft.² is the correct answer.
Step-by-step explanation:
Given that,
Diameter of the Cylindrical tank, d = 60 ft Height of the Cylindrical tank, h = 20 ft Radius of the Cylindrical tank, r = 30ft.[tex] \: [/tex]
To Find:
Area of the Cylindrical tank to be painted.[tex] \: [/tex]
Solution:
Area of Cylindrical tank to be painted = CSA of the Cylindrical tank + Area of the circle
[tex] \star \quad{ \boxed{ \green{CSA_{(Cylinder)} = 2 \pi r h }}} \quad \star[/tex]
[tex]\star \quad{ \boxed{ \green{Area_{(Circle)} = \pi {r}^{2} }}} \quad \star[/tex]
[tex] \longrightarrow \: 2\pi rh \: + \pi {r}^{2} [/tex]
[tex]\longrightarrow \: \pi r(2h + r)[/tex]
[tex]\longrightarrow \: \frac{22}{7} \times 30 \times(2\times20+30) [/tex]
[tex]\longrightarrow \: \frac{660}{7} \times (40 + 30)[/tex]
[tex]\longrightarrow \: \frac{660}{7} \times 70 [/tex]
[tex]\longrightarrow \: 660 \times 10[/tex]
[tex]\longrightarrow \: 6600 {ft.}^{2} [/tex]
Hence, Area of the Cylindrical tank to be painted is 6600ft.²
_____________________Additional Information:[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{ \red{More \: Formulae}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]
What is the value of x in the triangle?
The value of x in the triangle are opposite side .
There were 10 tables at a company luncheon. The company ordered
25 pizzas. If the same amount of pizza was served at each table, how much
pizza did each table get? Give your answer as a fraction,mixed number
and also as a decimal.
Step-by-step explanation:
if there were 10 tables at the company's luncheon and the company ordered 25 pizzas then each table should have 2.5 pizzas or 2 whole number
1/2 pizza or 5/2 pizza .
how to determine if x and y values represent a function?
Answer: set up the relation as a table or ordered pairs
Step-by-step explanation: the domain has to be matched with exactly one element in the range.
A company starts to track the number of phone calls received each month. Information about the number of phone calls the company received the first three months of tracking is listed below.
- During the first month, the company received 4,264 phone calls. - During the second month, the company received 25% more phone calls than in the first month. - During the third month, the company received 6,396 phone calls.
What was the percent increase in the number of phone calls from the second month to the third month? Remember to show your thinking! Use proportions when you can.
Answer:
20%
Step-by-step explanation:
First month = 4264 phone calls
Second month = 25% more phone calls than the first month
⇒ second month = 4264 × 1.25 = 5330
Third month = 6396 phone calls
[tex]\mathsf{percentage \ change=\dfrac{|final \ value - initial \ value|}{initial \ value}\times 100\%}[/tex]
[tex]\implies \mathsf{percentage \ change=\dfrac{6396 - 5330}{5330}\times 100\%}[/tex]
[tex]\implies \mathsf{percentage \ change=\dfrac{1}{5}\times 100\%}[/tex]
[tex]\implies \mathsf{percentage \ change=20\%}[/tex]
A fair die is thrown. Calculate the probability that A 6 is thrown
Answer:
1/6
Step-by-step explanation:
Probability = favorable outcomes/total outcomes
favorable outcomes, 1: there is only one 6 on a dice.
Total outcomes, 6: there 6 numbers on a dice.
Create the fraction
1/6
Chloe invests £6500 for 3 years at 5% per annum compound interest.
3
Calculate the value of the investment at the end of 3 years.
f
I
ur question is incompleteness
The value of the investment at the end of 3 years would be [tex]\£7,524.6[/tex].
Used the formula of the total amount that is,
[tex]A = P (1 + r)^n[/tex]
Where A = Total amount.
P = Principal amount
r = Interest rate (in decimal form)
n = Number of years
Given that,
Chloe invests £6500 for 3 years at 5% per annum compound interest.
Here the given values are,
P = £6500
n = 3 years
r = 5% = 0.05
Substitute all the values in the above formula,
The value of the investment at the end of 3 years is,
[tex]A = P (1 + r)^n[/tex]
[tex]A = \£6500 (1 + 0.05)^3[/tex]
[tex]A = \£6500 \times (1.05)^3[/tex]
[tex]A = \£6500 \times 1.05 \times 1.05 \times 1.05[/tex]
Therefore, the investment at the end of 3 years is,
[tex]A = \£7,524.6[/tex]
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Sally had some marbles. After buying 12 more marbles, she had 25 marbles. Write and solve an equation to show how many marbles Sally had before she bought more.
Answer:
13
Step-by-step explanation:
25-12=13
Answer:
she would have 13 marbles
Step-by-step explanation:
25-12=13
because she have 25 marbles in total (after buying them) and she got 12 marbles before she bought them so it would be 13.
here a subtraction problem that has been solved incorrectly 21-9=11 choose the addition sentence that check this subtraction problem here the choices are 21+9=30 11+9=20 11+21=32 which one is correct
Answer:
Answer:
11+ 9 = 20
Step-by-step explanation:
=> 21-9=11
21 - 9 equals to 11 is actually a wrong answer
So in order to find the subtraction problem that will help us truly know whether the equation is wrong
=> 11+ 9 = 20
Help help math math math
Step-by-step explanation:
your teacher wrote most of the solution in this picture.
all we need to do is simplify and transform the equation
28/4 = 21/N
7 = 21/N
7N = 21
N = 21/7 = 3
formally, the ratio of corresponding (side) lengths is the same for all corresponding sides or other lines (like heights) in similar shapes.
so, the rate 28/4 = 7/1 = 7 asked also to 21 and N.
28/7 = 4
and
21/7 = N = 3
Answer:
[tex]\huge\boxed{\boxed{N=3}}[/tex]
Step-by-step explanation:
Hello.
We have the proportion
[tex]\displaystyle\frac{28}{4} =\frac{21}{N}[/tex]
In order to solve a proportion, we should cross-multiply:
28×N=4×21
28N=84
Divide both sides by 28.
N=3
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
. A local electricians union has 540 members. If 65% of the members attended the last meeting, how many members went to the last meeting?
351 members
Multiply .65 by 540 which gives you 351.
g(y) =-y^2 + 12y + 45
maximum value of the function
Answer: On my graph it says -5
Step-by-step explanation: