Answer:
10.86
Step-by-step explanation:
m = Y2 - Y1 / X2 - X1 = -19 -57 / -34 +27 = -76 / -7 = 10.86
Answer:
y=7/76x-129/4
Step-by-step explanation:
I'm going to assume you want this in slope intercept form.
The equation of a line is equal to y = mx+b
Where m is the slope and b is the y-intercept.
The slope of a line is a measure of how steep the line is.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
y2-y1/x2-x1
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (57,-27), point #1, so the x and y numbers given will be called x1 and y1, and the second point will be x2 and y2.
So we just plug in the numbers, and find the slope to be 7/76.
What about b(the y-intercept), I can already hear you typing. Well, to do that, you plug in the coordinates of the points given and solve for b.
And there you have it:
y=7/76x-129/4 is the equation of the line.
Samuel earned 18.90 working last weekend. He worked for 2 and 1 fourth hours. Which equation and solution represents e, the amount Samuel earns each houre at his job
Answer:
The equation that represents the amount Samuel earns per hour is "e = (total earned)/(total time worked)", on last weekend he earned 8.4 per hour.
Step-by-step explanation:
Since Samuel worked a total of 2 and 1/4 hours it means that he worked:
hours worked = 2 + 1/4
hours worked = 8/4 + 1/4
hours worked = 9/4
He earned a total of 18.9 working that many hours. If we divide the total amount he earned by the number of worked hours we can find the total he earns per hour.
e = (total earned)/(total time worked)
e = 18.9/(9/4)
e = 18.9*(4/9)
e = 75.6/9
e = 8.4 per hour
The equation that represents the amount Samuel earns per hour is "e = (total earned)/(total time worked)", on last weekend he earned 8.4 per hour.
Answer:
2.25 =18.90e
samuel earns $8.40 per hour
Step-by-step explanation:
Plz answer for 20 pts
Answer to Problem 1: 5√3
Answer to Problem 2: 21√5
Answer:
[tex] 6) \: \: \sqrt{3} + 4 \sqrt{3} \: = \: 5\sqrt{3}[/tex]
[tex] 7) \: \: 3\sqrt{5}+ 6\sqrt{45} = 3\sqrt{5}+6\sqrt{9} \! \cdot \! \sqrt{5} [/tex]
[tex] = 3\sqrt{5} + 6\! \cdot \! 3 \! \cdot \! \sqrt{5}=3 \sqrt{5} + 18 \sqrt{5} = 21\sqrt{5} [/tex]
Can someone help me with my homework I really don’t get it:(
Answer: 60 hours
(I'll help you with the first one only because you need to learn this)
Step-by-step explanation: 36 divided by 3 is 12 and 720 divided by 12 is 60
A circular playground is 60 feet wide and has a 3-foot wide path surrounding the playground. The area of the playground is about
Answer:
i think its 180
Step-by-step explanation:
u have to multiply 60 and 3 and u will get 180
The area of a circular playground with a diameter of 60 feet is calculated using the formula Area = π × radius². With a radius of 30 feet, the area is approximately 2826 square feet. Therefore, the area of the playground is about 2826 square feet.
To find the area of a circular playground, we first need to know its radius. Since the diameter of the playground is given as 60 feet, the radius (which is half the diameter) is:
Radius = Diameter / 2 = 60 feet / 2 = 30 feetThe formula for the area of a circle is:
Area = π × radius²Using π as approximately 3.14, we can calculate the area:
Area = 3.14 × 302 = 3.14 × 900 = 2826 square feetTherefore, the area of the playground is about 2826 square feet.
Deanna has a balance of $324.55 in her checking account. She uses her debit card to pay$102.00 for a concert ticket. What is the balance in her checking account now? *
Answer:
$222.55
Step-by-step explanation:
Answer:
$222.55
Step-by-step explanation:
$324.55-$102.00
The volume of this cone is 932.58 cubic meters. What is the height of this cone?
The height of the cone is approximately 9 meters.
The formula for the volume (V) of a cone is given by:
[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
where r is the radius of the base and h is the height.
Given that the volume V is 932.58 cubic meters, we can rearrange the formula to solve for h:
[tex]\[ h = \frac{3V}{\pi r^2} \][/tex]
Since the problem doesn't provide the radius r, we cannot calculate the exact height. However, if the cone is assumed to have a radius of 1 meter (as it's not provided), you can substitute the values into the formula:
[tex]\[ h = \frac{3 \times 932.58}{3.14 \times 1^2} \][/tex]
Simplifying this gives:
[tex]\[ h \approx 9 \, \text{meters} \][/tex]
Therefore, under the assumption of a radius of 1 meter, the height of the cone is approximately 9 meters.
A 107-ft-tall building casts a shadow of 90 ft. To the nearest whole degree,
What is the angle of elevation to the sun?
The angle of elevation to the sun is mathematically given as
[tex]\theta=49.93[/tex]
What is the angle of elevation to the sun?Question Parameters:
A 107-ft-tall building casts a shadow of 90 ft.
Generally, the equation for the Trigonometry is mathematically given as
[tex]tan\theta=\frac{opp}{adj}[/tex]
Therefore
[tex]\theta=tan^{-1}\frac{107}{90}[/tex]
[tex]\theta=49.93[/tex]
In conclusion, the angle of elevation to the sun is
[tex]\theta=49.93[/tex]
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Using the slope concept, it is found that the angle of elevation to the sun is of 40º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the vertical change is of 107 ft, while the horizontal change is of 90 ft, hence:
[tex]\tan{\alpha} = \frac{90}{107}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{90}{107}\right)}[/tex]
[tex]\alpha = 40^\circ[/tex]
The angle of elevation to the sun is of 40º.
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Johnny ate 200 jars of his fathers sugar if johnny got a warning from his papa (While T-posing and floating to him) every 10 jars, how many warnings did he get? (Sorreh I'm not a troll I'm just extremely dumb.)
Answer:
I assume the answer would be that f(x) = 6(x) increases over the interval x = 3 to x = 4
Step-by-step explanation:6 x 3 is 18 and 6 x 4 is 24, so over the interval x = 3 to x = 4 f(x) would increase.
20
Step-by-step explanation:
200 divided by 10 equals 20
Han buys candy at $3.75 a pound. What equation best
represents his total cost (y), if x is the number of pounds
of candy he purchased?
a) x = y + 3.75
b) X = 3.75y
c) y = x + 3.75
d) y = 3.75 x
Answer:
D) y= 3.75x
Step-by-step explanation:
The total cost is y, therefore you set the equation equal to y since you want to find the total cost of candy he purchased.
X is the number of pounds, and the candy is $3.75 each pound.
When you set up the equation, it is
y=3.75x
Which also means: the total cost of the candy depends on how many pounds (which is $3.75 per pound) he buys.
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21.8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13.8 cm2 17.3 cm2 32.7 cm2 69.0 cm2
Answer:
C. [tex]32.7cm^{2}[/tex]
Step-by-step explanation:
Area = (Perimeter x apothem) / 2
Area = 21.8 x 3 / 2
Area = 65.4 / 2
Area = [tex]32.7cm^{2}[/tex]
C. The area of the regular pentagon, rounded to the nearest tenth is 32.7 cm².
Area of the regular pentagonThe area of the regular pentagon is calculated as follows;
Area = aP/2
where;
a is apothem of the pentagonP is perimeter of the pentagonArea = (3 x 21.8)/2
Area = 32.7 cm²
Thus, the area of the regular pentagon, rounded to the nearest tenth is 32.7 cm².
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There are 22 fourth-grade students and 26 fifth-grade students who became cheerleaders. Each cheerleading group will have 8 members. Which equation can be used to find out how many groups can be made?
The number of groups of cheerleaders are 6 groups.
Given that, the number of students in grade 4 is 22 and the number of students in grade 5 is 26.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Here, each cheerleading group will have 8 members.
Let the number of groups be x.
Now, 22+26=48
So, x=48/8
= 6 groups
Therefore, the number of groups of cheerleaders are 6 groups.
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Final answer:
To find the number of cheerleading groups that can be made with 22 fourth-graders and 26 fifth-graders, we add the total number of students and divide by the group size (8). The equation is k = (22 + 26) / 8, which simplifies to k = 6, meaning 6 groups can be formed.
Explanation:
The question is asking how to calculate the total number of cheerleading groups that can be formed from a given number of fourth-grade and fifth-grade students. In this case, there are 22 fourth-grade students and 26 fifth-grade students, making a total of 48 students. Given that each group should have 8 members, the formula to find the number of groups is the total number of students divided by the number of members per group.
The equation to find the number of cheerleading groups (k) is:
k = Total number of students / Number of members per group
Thus, the equation is:
k = (22 + 26) / 8
When simplified, it gives:
k = 48 / 8
Which equals:
k = 6
Therefore, 6 cheerleading groups can be made.
What method can you use to find the area of the composite figure? Select three options.
Easy Question, Easy Points
Topic: Volume
Answer: V = 0.6 m.
Step-by-step explanation:
Volume = l x w x h
in this case if you input the cube's values its volume = 1 m and 1 - 0.4 = 0.6m
Volume is a measure of how much space something takes up and is usually measured in cubic centimetres ({cm}^3cm
3
) or cubic metres ({m}^3m
3
). Density is a measure of how tightly the mass of an object is packed into the space it takes up, so we calculate this by dividing its mass by its volume.
{density } = \dfrac{{mass}}{{volume}}density =
volume
mass
As a result, the units we used to measure density are compound units for more information, see here . The unit of choice will depend on what units are used to measure the values you’re given. If, in a particular question, mass is measured in kilograms and volume is measured cubic metres, then the density we calculate would be measured “kilograms per cubic metre”, which is denoted either by {kgm}^{-3}kgm
−3
or kg/m}^3kg/m
3
. If the starting units were different, then the resulting unit of density would be different. Let’s see an example.
Example: An object has a mass of 570g and a volume of 2,280 cm}^3cm
3
. Calculate its density.
As stated, density is equal to the mass divided by the volume, so this will be our calculation, but what will the unit of our answer be? In the question, the mass is given in grams and the volume in cubic centimetres, so the density should be in grams per cubic metre, which is denoted either like \{gm}^{-3}gm
−3
or {g/m}^3g/m
3
.
{Density } = {570}{2,280} = 0.25{ g/m}^3Density =
2,280
570
=0.25 g/m
3
Answer:
v= 0.6
Step-by-step explanation:
Use the table of values to calculate the linear correlation coefficient r.
X Y
4 -5
53 -1
86 13
162 16
The linear correlation coefficient r is **1.2237445080439002**.
To calculate the linear correlation coefficient r, we can use the following formula:
[tex]r = (\sum(x - \bar x)(y - \bar y)) / \sqrt(\sum(x - \bar x)^2 \sum(y - \bar y)^2)[/tex]
where:
* [tex]\sum[/tex] is the sum of the values
* [tex]\bar x[/tex] is the mean of x
* [tex]\bar y[/tex] is the mean of y
First, we need to calculate the mean of x and y:
[tex]\bar x[/tex] = (4 + 53 + 86 + 162) / 4 = 71.25
[tex]\bar y[/tex] = (-5 - 1 + 13 + 16) / 4 = 5.75
Next, we need to calculate the sum of the squared deviations from the mean for x and y:
[tex]\sum(x - \bar x)^2 = (47.25^2 + 17.25^2 + 14.25^2 + 90.75^2) = 10148.5[/tex]
[tex]\sum(y - \bar y)^2 = (11.25^2 + 6.75^2 + 7.25^2 + 10.25^2) = 317.5[/tex]
Now, we can calculate the linear correlation coefficient r:
[tex]r = (\sum(x - \bar x)(y - \bar y)) / \sqrt(\sum(x - \bar x)^2 \sum(y - \bar y)^2)[/tex]
r = (47.25 * 11.25 + 17.25 * 6.75 + 14.25 * 7.25 + 90.75 * 10.25) / √(10148.5 * 317.5)
r = 1.2237445080439002
Therefore, the linear correlation coefficient r is **1.2237445080439002**.
This value indicates a strong positive correlation between x and y.
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The scatter plot below shows the average rent (in dollars per month) for a 1-bedroom apartment in New York City each year between 2000 and 2013. A line was fit to the data to model the relationship. Which of these linear equations best describes the given model?
Answer:
y=40x+800 and 1600
Step-by-step explanation:
Answer:
C and 1600
Step-by-step explanation:
The temperature outside changed from 92°F to 43°F over a period of seven days. If the temperature changed by the same amount each day, what was the daily temperature change?
A.
49°F
B.
-49°F
C.
7°F
D.
-7°F
Reset Submit
Answer: D
Step-by-step explanation: the temperature changes from 92° to 43°
so 92 - 43 = 49 meaning that the temperature changed 49 degrees in total and if it changed the same amount in the seven days you have to divide 49 by 7 = 7
C is wrong since it did change by 7 but the option to decrease is there and the temperature didn't increase or get warmer but instead decreased or became cooler so it is D
7° Grade Mathematics' Portfolio Piece
How Many Cupcakes? Task
-
-
--
Betty and Archie, two seniors, sold cupcakes as a fundraiser to
benefit the school's yearbook. The number of cupcakes that
Archie sold can be given as 20 more than a number, x. Betty
sold five fewer cupcakes than twice a number, x. -
A) Write an algebraic expretssion that can be used to represent the
amount of cupcakes that each senior sold.
Archie:
Betty:-
Answer:
Archie: x+20
Betty: 2x-5
Step-by-step explanation:
We are given that The number of cupcakes that Archie sold can be given as 20 more than a number, x.
So, 20 more than x = x+20
So, Archie sold cupcakes = x+20
We are also given that Betty sold five fewer cupcakes than twice a number, x.
So,twice a number, x = 2x
Five fewer cupcakes than twice a number, x. =2x-5
So, Betty sold cupcakes = 2x-5
Hence an algebraic expression that can be used to represent the amount of cupcakes that each senior sold
Archie: x+20
Betty: 2x-5
What is the median of 89,99,80,5,90,0,100,95
Answer:
89.5
Step-by-step explanation:
What is the median of 89,99,80,5,90,0,100,95
We should order this from least the greatest.
0, 5, 80, 89, 90, 95, 99, 100
The median is between 89 and 90
median = (89 + 90)/2 = 89.5
The area of a pizza is 113 square inches. What would the radius have to be to make that statement true?
Answer:
6 in.
Step-by-step explanation:
[tex]A = r^2\pi[/tex]
[tex]R = \sqrt{\frac{A}{\pi } }[/tex]
[tex]R = \sqrt{\frac{113}{\pi } }[/tex]
[tex]R = \sqrt{36}[/tex]
[tex]R = 6[/tex]
For a bookease, Tim wants 6 shelves
ench 284 inches long What total length
of shelving does he need?
Answer:
1704 inches
Step-by-step explanation:
Take the length of each shelf and multiply by the number of shelves
6* 284 =1704 inches
Answer:
1704 in
Step-by-step explanation:
product of (2x+3)(2x+4)
Answer:
4x² + 14x + 12
Step-by-step explanation:
There are several different methods you can use to multiply binomials, but I will walk through the FOIL method.
First - Multiply the first terms of each binomial
2x · 2x
Outer - Multiply the outside terms of each binomial (the first term of the first binomial and the second term of the second binomial)
2x · 4
Inner - Multiply the inside terms of each binomial (the second term of the first binomial and the first term of the second binomial)
3 · 2x
Last - Multiply the last term of each binomial
3 · 4
Then you will add each product together to get the expression 4x² + 8x + 6x + 12. This is not our answer as we have to combine like terms to simplify.
After simplifying, 4x² + 14x + 12 will be the answer.
Solve for x.
x/7 + 9 = 15
Look at the attached picture ⤴
hope it will help u....:)
The value of x in the equation (x/7) + 9 = 15 is 42.
To solve for x in the equation (x/7) + 9 = 15, you can follow these steps:
Subtract 9 from both sides of the equation:
(x/7) + 9 - 9 = 15 - 9
(x/7) = 6
Multiply both sides of the equation by 7 to isolate x:
7 × (x/7) = 6 ×7
x = 42
Therefore, the solution to the equation is x = 42.
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You get tired of the sand and head up to the amusment park you can purchase 20 ride tickets for $14 or 30 ride tickets for 22.50 which is the better deal
Answer:
20 ride tickets for $14 is a better deal
Step-by-step explanation:
Considering the two offers
The first deal which is 20 ride tickets for $14 is more advantageous because it offers $1.5 less compare to the second offer as 30 rides would require a sum of $21 for the first deal whereas 30 rides cost $22.50 for the second deal
Write the ratio of baby girls to baby boys with a hospital full of 1,000 babies, 430
being boys.
Answer:
57:43
Step-by-step explanation:
1000 babies - 430 baby boys = 570 baby girls
570 girls to 430 boys
570:430
simplify
57:43
Answer:
570/430 respectively
Step-by-step explanation:
1000-430(number of boys)=570(number of kids left so they must be girls)
570/430 is simplified by taking off each 0 and making it 57/43
Rewrite the expression in the form 4^n4 n 4, start superscript, n, end superscript. (4^{6})(4^{-8})=(4 6 )(4 −8 )=(, 4, start superscript, 6, end superscript, ), (, 4, start superscript, minus, 8, end superscript, ), equals
To multiply powers with the same base, like (4^6)(4^-8), add the exponents to get 4^(6-8) = 4^-2. Converting the negative exponents gives us 1/4^2 or 1/16 as the simplified expression.
Explanation:To rewrite the expression in the form 4n4n, we use the rule that when multiplying two numbers with the same base, we add their exponents. So, (46)(4-8) = 4(6 + (-8)) = 4-2 = 1/42 = 1/16.
When multiplying powers with the same base, you simply add the exponents. In the expression (4^{6})(4^{-8}), we add the exponents 6 and -8. The rules of exponents tell us that 4^{6} \times 4^{-8} = 4^{6-8} = 4^{-2}. Negative exponents indicate the reciprocal of the base raised to the positive of that exponent. Therefore, 4^{-2} = \frac{1}{4^{2}} = \frac{1}{16}. This simplified expression demonstrates how to work with exponents and manage negative exponents effectively.
Rewrite the product (22y)(2x) using the Commutative Property of Multiplication.
A. (2y)(22x)
B. (22x)(2y)
C. (2x)(22y)
D. 44xy
The correct option is C.
What is commutative property?
The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
What is an example of commutative property?The commutative property deals with the arithmetic operations of addition and multiplication. It means that changing the order or position of two numbers while adding or multiplying them does not change the end result. For example, 4 + 5 gives 9, and 5 + 4 also gives 9.
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The area of the base of this rectangular prism is 6 in.². The height is 12 inches. What is the volume of the rectangular prism?
Answer:
72 in^3
Step-by-step explanation:
The volume is found by V=Bh meaning volume = area of the base * height
V = 6 * 12
V = 72
If the diameter of a circle is 19.3, what is the circumference?
Answer:
60.6
Step-by-step explanation:
The formula for finding the circumference of a circle is C = 2πr
C is circumference, π is pi (we'll just us 3.14 here), and r is radius.
The radius is found by dividing the diameter in half.
19.3/2=9.65
So the equation should look like this:
C = 2(3.14)(9.65)
C = 60.602
C = 60.6
A cylinder has surface area of 256 π square millimeters and a height of 8 millimeters. The
diameter is _millimeters.
Answer:
I believe the answer is 32.
The value of diameter is,
⇒ d = 16 mm
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
A cylinder has surface area of 256 π square millimeters and a height of 8 millimeters.
Since, We know that;
Surface area of cylinder is,
SA = 2πrh + 2πr²
Here, We have;
SA = 256π
h = 8 mm
Hence, We get;
256π = 2π × r × 8 + 2π × r²
128 = 8r + r²
r² + 8r - 128 = 0
r² + 16r - 8r - 128 = 0
r (r + 16) - 8 (r + 16) = 0
(r - 8) (r + 16) = 0
r = 8 mm
Hence, The value of diameter is,
d = 2 x 8
d = 16 mm
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If you are good at determining sequences please help! (Show work)
Answer:
-62.5008
Step-by-step explanation:
the pattern here is dividing by -5, so just continue dividing by -5 starting on -3 and continuing 4 more times. record each number and then add them together using a calculator. you will get -62.5008
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