Answer:
wacha le vas a hacer x-3+21=67
There are 2.2 pounds in a kilogram how many pounds is 10.5 kilograms?
Please help need answers
\(\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\)
\(\frak{Good\;Morning!!}\)
\(\pmb{\tt{Question\;1}}\)
\(\star\boldsymbol{\rm{Given-:}}\)
Side length = 7 cm,Side length = 5 cm.\(\star\boldsymbol{\rm{We're\;looking\;for-:}}\)
Side length = xThis is how it's done.
\(\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\)
There's a special formula that we can use if we need to find the longest side of a right triangle. Fortunately, all of these triangles are right ones! Good.
The formula is. \(\boldsymbol{\rm{a^2+b^2=c^2}}\). This formula is known as Pythagoras' Theorem. This formula only works for right triangles.
Since we have a and b, we can just put in the values (7 for a and 5 for b), And then simplify!
\(\boldsymbol{\rm{7^2+5^2=c^2}}\) | 7^2 simplifies to 49, and 5^2 simplifies to 25
\(\boldsymbol{\rm{49+25=c^2}}\). | add
\(\boldsymbol{\rm{74=c^2}}\) | square root both sides
\(\boldsymbol{\rm{8.6=c}}}\). | the answer is given to 1 decimal place, as the problem required
\(\orange\hspace{350pt}\above5\)
\(\pmb{\tt{Question\;2}}\)
Once more, we're given two sides, and asked to find the third one,
which is still the longest side.
\(\boldsymbol{\rm{a^2+b^2=c^2}}\) is still the formula used here
Put in 5 for a and 3 for b.
\(\boldsymbol{\rm{5^2+3^2=c^2}}\) | 5^2 simplifies to 25, and 3^2 simplifies to 9
\(\boldsymbol{\rm{25+9=c^2}}\) | add
\(\boldsymbol{\rm{34=c^2}}\) | square root both sides
\(\boldsymbol{\rm 5.8=c}}\) | once again it's given to one decimal place
\(\hspace{350pt}\above5\)
\(\pmb{\tt{Question\;3}}\)
This problem is solved the exact same way
\(\boldsymbol{\rm{a^2+b^2=c^2}}\)
\(\boldsymbol{\rm{8.2^2+4.7^2=c^2}}\)
\(\boldsymbol{\rm{67.24+22.09=c^2}}\)
\(\boldsymbol{\rm{89.33=c^2}}\)
\(\boldsymbol{\rm{9.5=c}}\), rounded to one D.P.
\(\orange\hspace{300pt}\above2\)
\(\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\)
\(\pmb{\tt{Question4}}\)
Here we have the longest side and one side length-:
\(\boldsymbol{\rm{4^2+b^2=7^2}}\) | 4^2 simplifies to 16 and 7^2 simplifies to 49
\(\boldsymbol{\rm{16+b^2=49}}\) | subtract 16 from both sides
\(\boldsymbol{b^2=33}\) | square root both sides
\(\boldsymbol{\rm{b=5.7}}\)
\(\orange\hspace{300pt}\above3\)
\(\pmb{\tt{Question\;5}}\)
\(\boldsymbol{\rm{3.8^2+b^2=7.9^2}}\)
\(\boldsymbol{\rm{14.44+b^2=62.41}}\)
\(\boldsymbol{\rm{b^2=47.97}}\)
\(\boldsymbol{\rm{b=6.9}}\)
\(\orange\hspace{300pt}\above3\)
\(\pmb{\tt{Question\;6}}\)
\(\boldsymbol{\rm{a^2+6.1^2=7.3^2}}\)
\(\boldsymbol{\rm{a^2+37.21=53.29}}\)
\(\boldsymbol{\rm{a^2=16.08}}\)
\(\boldsymbol{\rm{a=4.0}}\)
\(\pmb{\tt{done~!!!}}\)
\(\orange\hspace{300pt}\above3\)
In the Uffizi gallery in Florence, Italy, there is a room built by Buontalenti called the Tribune (La Tribuna in Italian). This room is shaped like a regular octagon. What is the measure of the angle formed by two consecutive walls of the Tribune?
Answer:
135 degrees
Step-by-step explanation:
135 degrees form the interior angle of a regular octagon
Answer:
135°
I hope this helps you
:)
Clean Machine is Middletown's premier house cleaning service. The company used 2,920 gallons of soap last year, and 35% less this year. How many gallons of soap did the company use this year?
Answer:
Step-by-step explanation:)
A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
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Can someone help please
ASAP
Answer:
see explanation
Step-by-step explanation:
using the tangent ratio in the right triangle
tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then
∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )
tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then
∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )
AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )
If you can buy one bunch of seedless green grapes for $2, then how many can you buy with $18?
If you can buy 1 bunch of seedless green grapes for $2, then $18 we can buy 9 bunches.
The concept used here is a simple division to find out how many bunches of seedless green grapes can be purchased with a given amount of money.
In this case, we know the cost of one bunch of seedless green-grapes ($2) and we are given a total amount of money ($18) that we can spend on grapes. We can use division to find out how many bunches we can buy with that amount.
⇒ Number of bunches = ($18)/($2) per bunch,
⇒ Number of bunches = 9 bunches;
Therefore, with $18, you can buy 9 bunches of seedless green grapes.
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Select the correct answer. Which statement best describes the zeros of the function h(x) = (x – 6)(x2 + 8x + 16)? A. The function has two distinct real zeros. B. The function has three distinct real zeros. C. The function has one real zero and two complex zeros. D. The function has three complex zeros.
We can see here that the statement that best describes the zeros of the function h(x) = (x – 6)(x² + 8x + 16) is: C. The function has one real zero and two complex zeros.
What is a function?In mathematics, a function is a special type of relation. A relation is a set of ordered pairs, where each ordered pair consists of two elements.
To determine the zeros of the function h(x) = (x - 6)(x^2 + 8x + 16),
we can set the function equal to zero and solve for x.
Setting h(x) = 0, we have:
(x - 6)(x^2 + 8x + 16) = 0
Setting x - 6 = 0, we find:
x = 6
Setting x^2 + 8x + 16 = 0,
we can attempt to factor or use the quadratic formula.
Therefore, the function:
h(x) = (x - 6)(x^2 + 8x + 16) has one real zero (x = 6) and two complex zeros.
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Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=√t, y=t^2−2t; t=4
The equation of the tangent to the given curve x = t⁴ + 3 , y = t³ + t at the corresponding point is y = x - 2 .
In the question ,
it is given that ,
the parametric equation is x = t⁴ + 3 , y = t³ + t ,
differentiating with respect to t ,
we get ,
dx/dt = 4t³ and dy/dt = 3t² + 1
On dividing dx/dt by dy/dt to get the slope ,
we get
dy/dx = (3t² + 1)/ (4t³)
Substituting in t=1
dy/dx = (3 + 1)/4 = 1
Slope (m) = 1 ;
Substituting t = 1 , in the parametric equation ,
we have , x = 4 and y = 2 .
So , (y - 2) = 1(x - 4)
y - 2 = x - 4
y = x - 2
Therefore , the equation of the tangent is y = x - 2 .
The given question is incomplete , the complete question is
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = t⁴ + 3 , y = t³ + 3 ; t = 4 ?
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Find the measure of CD.
mCD= [?] degrees
Given:
A circle with radius 7 units and chord CD = 7 units.
To find:
The measure of arc CD.
Solution:
Let O be the center of the circle.
In triangle OCD,
\(OC=7\) (Given)
\(OC=OD=7\) (Radii of same circle)
\(CD=7\) (Given)
Since \(OC=CD=OD\) all sides are equal, therefore, the triangle OCD is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60 degrees. So,
\(m\angle COD=60^\circ\)
The measure of central angle is equal to the measure of corresponding arc.
\(m(arcCD)=m\angle COD\)
\(m(arcCD)=60^\circ\)
Therefore, the measure of arc CD is 60 degrees.
cot(sin-1) square rootx2
The algebric expression \(cot(sin^{(-1)}\sqrt{(x^2}\)simplifies to sqrt(1 - |x|^2) / |x|.
The expression "cot(sin^(-1)(sqrt(x^2)))" involves trigonometric and square root functions. Let's break it down step by step to simplify the expression.
Inside the square root: x^2.
The square root of x^2 is |x| (the absolute value of x), as the square root eliminates the square and keeps the positive value.
The expression sin^(-1)(sqrt(x^2)) is equivalent to arcsin(sqrt(x^2)).
Since we already know that the square root of x^2 is |x|, we can rewrite the expression as arcsin(|x|).
Now, we have cot(arcsin(|x|)).
The cotangent (cot) of an angle is equal to the reciprocal of the tangent (tan) of the same angle.
So, cot(arcsin(|x|)) can be written as 1 / tan(arcsin(|x|)).
Using the inverse trigonometric identity, tan(arcsin(x)) = x / sqrt(1 - x^2), we can simplify further.
In our case, x = |x|.
Therefore, tan(arcsin(|x|)) = |x| / sqrt(1 - |x|^2).
Substituting this result back into the expression, we have 1 / (|x| / sqrt(1 - |x|^2)).
To divide by a fraction, we multiply by its reciprocal.
Hence, the final simplification of the expression is sqrt(1 - |x|^2) / |x|.
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6. Emily receives an inheritance of $20,000 and decides to invest the money. She puts some money in her savings
account that earns 1.5% simple interest per year. The remaining money is invested in a bond fund that returns 4.5% and a
stock fund that returns 6.2%. She makes a total of $942 at the end of 1 yr. If she invested twice as much in the bond fund
as the stock fund, determine the amount that she invested in each fund.
Emily funded $6000 in stocks and $12,000 in bond funds. She also funded the remaining $2,000 in her savings account.
Future value = $20,000
Simple interests rate = 1.5%
The return rate on bonds= 4.5%
The return rate on stocks = 6.2%
Total amount made on invests = $942
Time period = 1 year
Let us assume that the amount of money Emily invested = x
Amount invested in stock = y
If the amount is twice = 2y
The interest earned = x * 0.015
Interest on bond = 2y * 0.045
Interest on stocks = y * 0.062
The equation will be:
(x * 0.015) + (2y * 0.045) + (y * 0.062) = 942
0.015x + 0.152y = 942 ------ Equation 1
Total future value is given as $20,000
x + 2y + y = 20000
x + 3y = 20000
x = 20000 - 3y
Substituting the x value in the first equation:
0.015(20000 - 3y) + 0.152y = 942
300 - 0.045y + 0.152y = 942
0.107y = 642
y = 6000
Therefore, we can conclude that Emily funded $6000 in stocks and $12,000 in bond funds.
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help with geometry please‼️‼️
Write the answer in simplest form
Answer:
57/40
Step-by-step explanation:
So we need to find the LCD, or the least common denominator. The LCD is 40. Now, we do a transition to find the new numerator.
\(\frac{4}{5} =\frac{x}{40} \\\\\\frac{5}{8} = \frac{x}{40}\)
The new equation is this:
\(\frac{32}{40} +\frac{25}{40}\)
Now we use our common sense. 32+25=57
57/40.
You can't simplify this...
what is one more than -5
Answer:
-4
Step-by-step explanation:
because negative numbers count up the opposite way
The equation C=24n+2 represents the cost
Jim did not buy any tickets (n_Jim = 0).
Larry bought 7 more tickets than Jim.
To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.
For Larry:
Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:
$170 = 24n + 2
Subtracting 2 from both sides:
$168 = 24n
Dividing both sides by 24:
n = 7
For Jim:
We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:
n_Jim = n_Larry - 12
n_Jim = 7 - 12
n_Jim = -5
Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).
To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:
n_difference = n_Larry - n_Jim
n_difference = 7 - 0
n_difference = 7
Therefore, Larry bought 7 more tickets than Jim.
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Question
The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12
11 of 3011 of 30 Questions
Question
A baker makes peanut butter cookies and chocolate chip cookies.
She needs 2 cups of flour and 34
cup of butter to make one batch of peanut butter cookies.
She needs 3 cups of flour and 1 cup of butter to make one batch of chocolate chip cookies.
If the baker has 26 cups of flour and 9 cups of butter, how many batches of each type of cookie can she make?
The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.
Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."
From the given information, we can set up the following system of equations:
For the flour:
2x + 3y = 26
For the butter:
34x + y = 9
To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:
Multiply the first equation by 17 (to make the coefficients of x in both equations the same):
34x + 51y = 442
Now we have the system of equations:
34x + y = 9
34x + 51y = 442
Subtract the first equation from the second equation:
34x + 51y - (34x + y) = 442 - 9
50y = 433
Divide both sides by 50:
y = 433/50
Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.
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A total of 5000 tickets were sold for a raffle. the prizes are $1000, $500, $200, and $100. what price should be charged so there is a 60% profit per ticket?
Answer: $0.576
Step-by-step explanation:
The total amount in prizes is $1800.
For there to be 60% profit, the total cost of the tickets need to be \(1800(1.6)=\$ 2880\).
Thus, each ticket must sell for \(\frac{2880}{5000}=\$ 0.576\)
Help, please///////
//
Answer:
\(\tt -2x < 18\)
Multiply both sides by -1 to reverse the inequality:-
\(\tt \left(-2x\right)\left(-1\right) > 18\left(-1\right)\)
\(\tt 2x > -18\)
Now, divide both sides by 2:-
\(\tt \cfrac{2x}{2} > \cfrac{-18}{2}\)
\(\boxed{\tt x > -9}\)
Therefore, as we can see, x > -9, Kim most likely forgot to multiply/reverse the inequality.
___________________
Hope this helps!
While at summer camp, Mike asked a random camper from each of the 12 cabins how many siblings he or she had. The results below display the responses.
3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1
If there are 48 campers altogether, use Mike’s data to infer the mean of the population. What is the mean number of siblings for the population rounded to the nearest unit?
1 sibling
2 siblings
3 siblings
4 siblings
B / 2 siblings
Step-by-step explanation:
edge 22 , hope it helped
The mean number of siblings for the population rounded to the nearest unit is 2.
What is mean?
Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Gien data is:-
3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1
The mean will be calculated as:-
Mean = ( 3 + 2 + 0 + 1 + 0 + 2 + 3 + 4 + 1 + 2 + 2 + 1 ) / 12
Mean = 21 / 12
Mean = 1.75
Mean = 2
Therefore the mean number of siblings for the population rounded to the nearest unit is 2.
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help to solve -7 - 3a = 1 - 4a
Answer:
-7 - 3a = 1 – 4a
Step one: Add 4a to -3a
-7 + a = 1
Step two: Add 7 to 1
A = 8
You're done! A=8 for this problem!
Hopefully this helps! Feel free to mark brainliest!
Answer:
\(a =8\)
Step-by-step explanation:
\(-7 - 3a = 1 - 4a\)
add \(3a\) to both sides
\(-7 - 3a + 3a = 1 -4a + 3a \\-7 = 1 -a\)
add \(-1\) to both sides
\(-7 - 1 = 1 - a -1\\-8 = -a\)
multiply both sides by \(-1\)
\(-8 * (-1) = -a * (-1) \\8 = a\)
My teacher gave me an extra credit assignment with 25 minutes left of class. It is extra credit, not a timed assessment. need done asap
6/5(8k+2)=-36solve equation
Answer:
k=-4
Step-by-step explanation:
\(\frac{6}{5} (8*-4+2) = -36\)
Answer:
k = -4
Step-by-step explanation:
6/5 (8k + 2) = -36
5 x 6/5 (8k + 2) = -36 x 5
6(8k + 2) = -180
48k + 12 = -180
48k = -180 - 12
48k = -192
48k/48 = -192/48
k = -4
Which of the following is equivalent to 5/20 ? *
Mark only one oval.
2/10
10/30
5/10
1/4
Whats the answer to the picture?
Answer:
I believe C is the answer (I have not done this in a while)
Step-by-step explanation:
-3(4) = -12 < 0
4 = 0
4^2 = 16 > 0
f(4) = 0
When dealing with word problems and linear equations, what does the y-intercept represent and how is the slope defined?
a.
y-intercept represents the final value, slope is increasing
c.
y-intercept represents the starting value, slope is the rate of change
b.
y-intercept represents the final value, slope is decreasing
d.
y-intercept represents the starting value, slope is decreasing
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
y-intercept represents the starting value, slope is the rate of change
slope is rise/run
Answer:
C is correct! :D
Step-by-step explanation:
Edge nuity 2021
Draw a line from the figure to the area of the figure.
13 square units
14 square units
15 square units
Hurry please do tomorrow this is a 3rd grade problem
To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.
How do you Draw a line?Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.
E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.
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10. Kara's grandmother is knitting a baby
cap. She knitted 1/5 of the cap yesterday
morning. By evening, she had knitted 7/10
of the cap. Estimate how much of the cap
she knitted during the afternoon.
Kara's grandmother knitted the cap during the afternoon is \(\frac{1}{2}\).
What is a Fraction?A fraction is a number that represents the part of a whole. It is in the form of \(\frac{a}{b}\) , in which upper 'a' part denotes numerator and the lower part 'b' denotes the numerator.
Kara's grandmother knitted the cap,
In the morning = \(\frac{1}{5}\)
In the evening = \(\frac{7}{10}\)
She knitted during the afternoon = \(\frac{7}{10} -\frac{1}{5}\)
= \(\frac{7}{10} - \frac{2}{10}\)
= \(\frac{5}{10} = \frac{1}{2}\)
Hence, Sara's grandmother knitted the cap during the afternoon =\(\frac{1}{2}\).
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Solve for h.
what is h equal to?
Answer:
the last one
Step-by-step explanation:
.................
plzzzzz helpp j + 9 - 3 < 8
Answer:
j < 2
Step-by-step explanation:
Simplify both sides of the inequality and isolating the variable would get you the answer