Final answer:
The length of wire required to fence the circular field is found by calculating the circumference of the field. The number of times the field can be fenced with a given length of wire is found by dividing the total wire length by the circumference.
Explanation:
To find the length of wire required to fence the circular field, we need to find the circumference of the field. The formula to calculate the circumference of a circle is C = πd, where C is the circumference and d is the diameter. So, in this case, the circumference is C = π * 56 cm. Next, to find how many times the field can be fenced with 704m of wire, we divide the total length of wire by the circumference of the field. Therefore, the number of times the field can be fenced is 704 m / (π * 56 cm).
Order these decimals from least to greatest: 0.35 3.5 0.53 0.3 0.05
Answer:
0.53, 0.35, 0.05, 0.03, and 3.5
Step-by-step explanation:
Order Least to greatest
HELP ASAP QUICK QUESTION : I just need to know, when you work out the length of the missing side do you put cm for the units or not???
Answer: Yes, you put cm for the units of the missing side
Step-by-step explanation:
quick! can someone please explain 9 1/6 - 8 5/6 ??
The 9 at the side on the fraction represents one full 6/6
So by taking one out, it will give the top number an extra 6.
15. What is the sum of a number and its
opposite?
Answer:
the sum of two numbers is multplication and its opposite is a negative version of it
Step-by-step explanation:
only 90 minutes after a reindeer calf is born it is able to run. How many seconds is that
Answer:
540 seconds
Step-by-step explanation:
1 minute is equal to 60 second
so 90 min is equal to 90 multiplied by 60 which is equal to 540 seconds.
Answer:5400 seconds
Step-by-step explanation:
Is the binomial a factor of the polynomial nominal function?
Select Yes or No for each binomial.
I accidentally said “no” for the first two on the chart. I need everything on the chart answered. Thanks!
The factors for given equation f(x)=[tex]x^{3} +3x^{2} -25x-75[/tex].
(x-1) - No(x-3) - No(x+3) - Yes(x-5) - Yes(x+5) - YesStep-by-step explanation:
The given equation is f(x)=[tex]x^{3} +3x^{2} -25x-75[/tex] .
Add 0 at the end of the equation.
[tex]x^{3} +3x^{2} -25x-75[/tex] = 0.
Let us group the given equation,
[tex](x^{3} +3x^{2}) -(25x-75)[/tex] =0.
⇒ Group 1: [tex]x^{3} +3x^{2}[/tex] .
Group 2: [tex]- 25x +75[/tex] .
Pull out factor from each group,
⇒ Group 1: [tex](x+3)(x^{2})[/tex].
Group 2: (x+3) (-25).
Join the two group since both (x+3) is common in both groups.
[tex](x+3)(x^{2} -25)[/tex] =0.
One of the factor is (x+3).
Other factors are solved by the formula, [tex]a^{2}-b^{2} = (a+b) (a-b)[/tex] .
[tex](x+3)(x^{2} -25)[/tex] = (x+5) (x-5) .
The other factors are (x+5) and (x-5).
Here is a math question I need help with, offering 20 points for full answer.
Answer: 8 sqrt7
Step-by-step explanation:
Write the point slope form of the equation of the line through the given points.
EXPLAIN AND SHOW WORK! Please and thanks.
through: (5, -3) and (0, 3)
Answer:
[tex]\displaystyle y - 3 = -1\frac{1}{5}x\:OR\:y + 3 = -1\frac{1}{5}x - 5[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \frac{3 + 3}{-5 ± 0} = -\frac{6}{5} = -\frac{1}{5}[/tex]
Then plug these coordinates into the Point-Slope Formula Remember, in this formula, all the negative symbols give the OPPOSITE terms of what they really, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS. It does not matter which ordered pair you choose:
[tex]\displaystyle y - y_1 = m[x - x_1] \\ \\ y - 3 = -1\frac{1}{5}x\:OR\:y + 3 = -1\frac{1}{5}x - 5[/tex]
I am joyous to assist you anytime.
Why are the elements placed into groups/families?
Answer:
The vertical columns on the periodic table are called groups or families because of their similar chemical behavior. All the members of a family of elements have the same number of valence electrons and similar chemical properties. The horizontal rows on the periodic table are called periods.
Step-by-step explanation:
An elevator can hold at most 2500 pounds if 10 adults with an average mass of 80 kg each get on the elevator can elevator carry them
The elevator can carry the adults with average mass of 80 kg.
Step-by-step explanation:
Given
Capacity to weight that can be hold by elevator = 2500 pounds
Average mass of one adult = 80 kg
Average mass of 10 adults = 80*10 = 800kg
We need to have the weights in same unit in order to determine whether the elevator can carry the adults or not.
We will convert the weight of 10 adults into pounds.
1 kg = 2.205 pounds
800 kg = 800*2.205 = 1764 pounds
Therefore,
1764 pounds < 2500 pounds
The elevator can carry the adults with average mass of 80 kg.
Keywords: conversion, multiplication
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By converting the average mass from kilograms to pounds and multiplying by the number of adults, the total weight is calculated to be 1763.696 pounds, which is under the elevator's capacity of 2500 pounds, so the elevator can carry them safely.
Explanation:The student is asking whether an elevator would be able to carry 10 adults with an average mass of 80 kg each without exceeding its maximum weight capacity of 2500 pounds. To answer this, we will first convert 80 kg to pounds and then multiply by the number of adults to find the total weight. After that, we can compare the total weight with the maximum capacity of the elevator.
First, let's convert the average mass of one adult from kilograms to pounds. Since 1 kg is equal to approximately 2.20462 pounds, we can calculate like this:
80 kg * 2.20462 lbs/kg = 176.3696 lbs per adult
Now, multiplying this by 10 adults:
176.3696 lbs/adult * 10 adults = 1763.696 lbs for 10 adults
When comparing this total weight of 1763.696 pounds to the elevator's maximum capacity of 2500 pounds, we see that the weight of 10 adults is less than the elevator's capacity.
Therefore, the elevator can safely carry 10 adults with an average mass of 80 kg each.
p= -5x2 + 70x - 165
For this case we have the following quadratic equation:
[tex]p = -5x ^ 2 + 70x-165[/tex]
To find the roots, we equal 0.
[tex]-5x ^ 2 + 70x-165 = 0[/tex]
Where:
[tex]a = -5\\b = 70\\c = -165[/tex]
The solution will be given by:
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]
Substituting we have:
[tex]x = \frac {-70 \pm \sqrt {70 ^ 2-4 (-5) (- 165)}} {2 (-5)}\\x = \frac {-70 \pm \sqrt {4900-3300}} {- 10}\\x = \frac {-70 \pm \sqrt {1600}} {- 10}\\x = \frac {-70 \pm40} {- 10}\\x = - (-7\pm4)[/tex]
We have two roots:
[tex]x_ {1} = 7-4 = 3\\x_ {2} = 7 + 4 = 11[/tex]
Answer:
[tex]x_ {1} = 3\\x_ {2} = 11[/tex]
what expression represents five time the quotient of some number and ten?
A: 5 ( 10 - z )
B: 5 ( z / 10 )
C: z ( 10 / 5 )
D: 5 ( z - 10 )
Answer: B
Step-by-step explanation:
First off, choices A and D can be elimination because you are not subtracting. In choice C, we have 10 divided by 5 as opposed to z divided by 5. The answer is B.
Richard earns $10.50 per hour at his summer job. He worked a total of 275 hours over the summer. If 40% of the money he earned was put in his savings account, how much was put in the savings account?
Multiply his pay rate by number of hours worked:
$10.50 x 275 hours = $2887.50
Now multiply his earnings by 40%:
2887.50 x 0.40 = 1155
He saved $1,155
Consider the transformation of a ΔABC to produce a ΔDEF. Which sequence of transformations results in triangles similar but not congruent?
A) horizontal reflection, then vertical reflection
B) translation 4 units right, then vertical reflection
C) 180° clockwise rotation, then translation 7 units down
D) translation 5 units up, then dilation with a factor of
1
4
Answer:
D) translation 5 units up, then dilation with a factor of 1/4
Step-by-step explanation:
The Geometric Transformation over a triangle that produces a similar triangle an not a congruent one is, the one that makes its sides larger\smaller but maintain its angle measures. Namely, the Dilation.
1) In the example below, we have a pair of isosceles triangle ABC and DEF
2) Translating up 5 units adding 5 units to y in DEF
3) Check it out on the third graph how the triangle DEF is similar to ABC share the same angle measure with different legs size.
4) So it's D
Answer:
The answer is d
Step-by-step explanation:
Some equations have the form y=kx, where k is a number. Drag each equation to the correct category below
Answer:
Step-by-step explanation:
Has the form y = kx :
y = -0.05x
y =50x
Can be put in the form of y = kx:
y/7 = x
y/x = 6.5
other:
y = 1/5x - 1/5
2x + 1/2 = y
The equation y=kx is a form of a linear equation where there is a direct proportionality between the variables 'y' and 'x'. This equation reflects a direct variation scenario, where 'y' increases or decreases as 'x' does.
Explanation:The question pertains to the understanding and categorization of linear equations, which are frequently used in Mathematics and Physics. You mention the equation y=kx, where 'k' is a number. It's a simplified version of the standard linear equation, y = mx + b, where 'm' is the slope (rate of change) and 'b' is the y-intercept (the value of 'y' when 'x' is zero). When 'b' is zero, we have the equation y=mx or in your context, y=kx, a direct proportionality.
For instance, if we see the equation y = 6x, it fits the category of y=kx where the 'k' value is 6. Such equations show a direct variation 'y' with 'x', meaning when 'x' increases or decreases, 'y' will also increase or decrease respectively.
Other forms of equations such as quadratic relationships or inverse relationships occur when the variables have a different kind of interaction, such as being squared or inversely proportional to each other.
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The sum of the digits of a two-digit number is 11. If we interchange the digits then the new number formed is 45 less than the original. Find the original number.
Answer:
38
Step-by-step explanation:
the value of the number is 10*y (y is the tens digit) + x = 10x( now x is the tens digit) + y +45
9x+45=9y
x+5=y
x+y=11
x=11-y
x-11=-y
y=11-x
x+5=11-x
2x=6
x=3
y=8
original number is 38
Match the statements with their values. *see photo for reference*
Answer:
See the attached figure.
Step by step solution:
Part (1):
When ΔABC is an isosceles triangle with AB = AC
The summing of the three of the triangle = 180°
∴ m∠ABC + m∠BAC + m∠ACB = 180°
================================================
Part (2):
When ΔABC is an isosceles triangle with AB = AC
So, m∠ABC = m∠ACB = x
if m∠BAC = 70
∵ m∠ABC + m∠ACB + m∠BAC= 180°
∴ x + x + 70 = 180 ⇒ x = 55°
∴ m∠ABC = 55°
===================================================
Part (3):
When m∠QRP = 30°, and ΔPQR is an isosceles triangle with PQ = QR
So, m∠QPR = m∠QRP = 30°
====================================================
Part (4):
When m∠BAC = 45° and points D and E are the midpoints of AB and BC in ΔABC
∵ Points D and E are the midpoints of AB and BC in ΔABC
∴ DE // AC
∴ m∠BDE = m∠BAC ⇒ the corresponding angles are congruent
∴ m∠BDE = 45°
What are the domain and range of f(x) = 4* – 8?
domain: {x | x is a real number}; range: {yl y> -8}
domain: {x | x is a real number}; range: {yl y> 8}
domain: {x | x > 4}; range: {yly>-8}
domain: {x | x>-4}; range: {y | y>8}
O
Answer:
domain: {x | x is a real number}
range: {y l y> -8}
Step-by-step explanation:
f(x) = 4x² – 8 is a parabola, a U shape.
Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.
y > -8 because the minimum is -8.
Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.
Quadratic standard form:
f(x) = ax² + bx + c
"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.
"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.
"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.
The domain of f(x) = 4x - 8 is all real numbers, as x can take any value without restriction. The range is all values greater than or equal -8 because this is the function's minimum value (occurs when x=0).
Explanation:In mathematics, the domain and range of a function represent the set of input values (x-values) and output values (y-values) respectively. For the function f(x) = 4x - 8, the domain is all real numbers, represented as {x | x is a real number} because there's no restriction on the values that x can take. On the other hand, the range is all values greater than or equal to -8, which is represented as {y | y > -8}, since the function's minimum value occurs at y=-8 (when x=0).
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which rate describes a unit price
$0.35 per minute
$0.75 per 1/2 cup
$1.00 per 3/4 cup
$4.00 per 4 minutes
Answer:
$0.35 per minute
Step-by-step explanation:
Rate in terms of unit price is something made in 1 unit (seconds, cups, minutes etc.)
per minute refers to per 1 minute
Answer:
The answer is A 0.35 per minute
Step-by-step explanation:
jina deposits $300 into an account that pays simple interest at a rate of 5% per year.How much interest will she be paid in the first 6 years?
Answer:402.03
Step-by-step explanation:
Increasing by 5% is just multiplying by 1.05 then you repeat step for x amount of years
28. Emily is buying some graduation pictures. She pays $25 for the sitting and $15 for each
sheet of pictures she buys. (make a table if it helps)
a. How much does she pay for 5 sheets of pictures?
b. How much does she pay for "x" sheets?
c. How many sheets can she buy for $145?!
a. She pays $100 for 5 sheets
b. 25+15x dollars for x sheets
c. 8 sheets
Step-by-step explanation:
Given
Sitting cost = $25
Per sheet picture cost = $15
Let p be the number of sheets of pictures
Then the cost can be written as a function of p
[tex]c(p) = 25+15p[/tex]
Now,
a. How much does she pay for 5 sheets of pictures?!
Putting p = 5 in the function
[tex]c(5) = 25 + 15(5)\\= 25+75\\=100[/tex]
She will pay $100 for 5 sheets of pictures
b. How much does she pay for "x" sheets?
Putting x in place of p
[tex]c(x) = 25+15x[/tex]
c. How many sheets can she buy for $145?
We know the cost now, we have to find p so,
[tex]145 = 25+15p\\145-25 = 25+15p-25\\120 = 15p[/tex]
Dividing both sides by 15
[tex]\frac{15p}{15} = \frac{120}{15}\\p = 8[/tex]
Hence,
She can buy 8 sheets for $145
Keywords: Linear equation, Algebraic functions
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ERROR ANALYSIS need answer in a least a hour or so please help,what is the error
Answer:
Step-by-step explanation:
1) Sin² Ф = 1 - cos² Ф
So, 1 - Sin² Ф = 1 - (1 - cos² Ф)
= 1 - 1 + cos² Ф = cos² Ф
2) tan x = Sin x /Cos x
tan x * csc x = Sin x /Cos x * 1/Sin x = Sinx * 1 / cos x * sin x
=1/cos x = Sec x
A local boys club sold 176 bags of mulch and made a total cost of $520.They sold hardwood mulch for $3.50 per bag and pine bark mulch for $2.75 per bag.How bags of each type of mulch did they sell?
Answer:
So here is the answer.
We represent h = hardwood and p = pine bark
Here is the equation: h + p = 176
2.75p + 3.50h = 520
Next, p = 176 -h (substitute)
2.75 (176-h) + 3.5h = 520
484 -2.75h + 3.5h = 520
3.5h-2.75h = 520 -484
0.75h = 36 (divide both by 0.75)
h = 48
Therefore, the number of hardwood sold is 48.
h + p = 176
p = 176-48
p= 128
The number of pine bark sold is 128.
Hope this helps :)
Step-by-step explanation:
The problem revolves around solving a system of linear equations to find out how many bags of hardwood and pine bark mulch were sold by the boys club, given the total number of bags and the total revenue generated from the sales.
Explanation:The student is asking for help with solving a system of linear equations using the information provided about the sale of mulch bags. We'll define two variables: let x represent the number of hardwood mulch bags and y represent the number of pine bark mulch bags sold. To solve for x and y, we need to set up two equations based on the given information:
Equation 1 (based on the number of bags): x + y = 176.Equation 2 (based on total cost): 3.50x + 2.75y = $520.We solve this system of equations, possibly using the substitution or elimination method, to find the values of x and y that satisfy both equations, which will give us the number of bags of each type of mulch sold.
Write a sentence about a real-life situation that matches the equation |-29|=29.
Answer:
an object is 29cm away from the mirror how far is the image from the mirror. if the distance of object from mirror = distance of image from mirror
answer in absolute value
Final answer:
A real-life situation that matches the equation |-29|=29 could be measuring the distance between two opposite points on a number line.
Explanation:
A real-life situation that matches the equation |-29|=29 could be measuring the distance between two opposite points on a number line. For example, suppose you have a number line with -29 on one end and 29 on the other end. The absolute value of -29 is 29, which represents the distance between the two points.
What is the value of tan a ? 24/7 24/25 7/25 or 7/24
Answer:
24/7
Step-by-step explanation:
tan(A)=BC/AC
in the right angle triangle as shown in figure we can see
tan(A)=BC/AC
tan(A)=perpedicular /base
perpendicular is just opposite of Angle(A) that is BC and base is AC
so tan(A)=BC/AC
A. 231
B. 39
C. 129
D. 51
Answer:
the answer is
129
Step-by-step explanation:
cyclic
What is the value of the expression (-8/9)*(-2/3) multiplied by (-4 1/2)
Answer:
-8/3
Step-by-step explanation:
-4 1/2=-9/2
(-8/9)(-2/3)=16/27
(16/27)(-9/2)=-144/54
-8/3
-Help?-
Simplify.
[tex]8\sqrt{63x^{14} 14y^{9}[/tex]
Assume x and y are nonnegative.
A: [tex]24x^{7}y^{4}\sqrt{7y}[/tex]
B: [tex]3x^{7}y^{4}\sqrt{7y}[/tex]
C: [tex]24x^{5}y^{4}\sqrt{7x^{2}y}[/tex]
D: [tex]24x^{7}y^{3}\sqrt{7}[/tex]
Answer:
C.
Step-by-step explanation:
https://tex.z-dn.net/?f=24x%5E%7B5%7Dy%5E%7B4%7D%5Csqrt%7B7x%5E%7B2%7Dy%7D
this is correct
the simplified expression is [tex]\(24x^7 y^4 \sqrt{7y}\)[/tex], which corresponds to option A.
To simplify the expression [tex]\(8\sqrt{63x^{14}14y^9}\),[/tex] we can break down the radicand into its prime factors and then simplify:
[tex]\(8\sqrt{63x^{14}14y^9} = 8\sqrt{7 \cdot 9 \cdot 7 \cdot 2 \cdot (x^7)^2 \cdot (y^4)^2 \cdot (y^1)}\)[/tex]
Now, we can take the square root of perfect squares and pull them out of the square root:
[tex]\(8 \cdot 3 \cdot 7 \cdot x^7 \cdot y^4 \cdot \sqrt{y}\)[/tex]
Simplifying further:
[tex]\(24x^7 y^4 \sqrt{7y}\)[/tex]
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Question 2 and 3 in picture
A half-gallon carton of organic
milk costs $4.45 now and the price is
increasing by 10 percent each year.
What will be the price of the milk in 5
years?
Answer:
$7.17
Step-by-step explanation:
(1 year) 4.45 x .01= .45 $4.45 + .45=$4.90
(2 year)4.90 x .01= .49 $4.90+.49=$5.39
(3 year)$5.39 x .01=.54 $5.39+.54=$5.93
(4 year) $5.93 x .01=.59 $5.93+.59=$6.52
(5 year) $6.52 x .01=.65 $6.52+.65=$7.17
Answer:
$7.17
Explination: $6.52 x .01=.65 $6.52+.65=$7.17