The x-coordinate of the point that divides the directed line segment from K to J into a ratio of 1:3 is 7
Step-by-step explanation:
The formula for x-cooridnate of a point that divides a line in ratio m:n is given by:
[tex]x = \frac{nx_1+mx_2}{m+n}[/tex]
Given
K(9,2) = (x1,y1)
J(1,-10) = (x2,y2)
m = 1
n = 3
Putting the values in the formula
[tex]x = \frac{(3)(9)+(1)(1)}{1+3}\\x = \frac{27+1}{4}\\x = \frac{28}{4}\\x = 7[/tex]
Hence,
The x-coordinate of the point that divides the directed line segment from K to J into a ratio of 1:3 is 7
Keywords: Ratio, fraction
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how many cubic centimeters of water can this paper cone cup hold?
Answer:
150.72 cubic centimeter
Step-by-step explanation:
Given:-
Height of cone (h) = 9cm
Diameter of cone(d)=8cm
radius of cone(r)=[tex]\frac{d}{2}[/tex]=[tex]\frac{8}{2} =4cm[/tex]
To calculate= Volume of cone([tex]V_{cone}[/tex])
[tex]Volume\ of\ cone(V_{cone}) =\frac{1}{3} \times \pi \times r^{2} \times h[/tex]
[tex]=\frac{1}{3} \times 3.14\times 4^{2} \times 9[/tex]
Volume of cone([tex]V_{cone}[/tex]) [tex]=150.72\ cubic\ centimeter[/tex]
Therefore paper cone cup can hold 150.72 cubic centimeter of water.
The paper cone cup can indeed hold 150.72 cubic centimeters of water.
The paper cone cup can indeed hold 150.72 cubic centimeters of water. Let's break down the calculation:
1. Given dimensions:
- Height of the cone (h) = 9 cm
- Diameter of the cone (d) = 8 cm (which implies a radius (r) of 4 cm)
2. To calculate the volume of the cone, we'll use the formula:
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \][/tex]
3. Plugging in the values:
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \cdot 4^2 \cdot 9 \][/tex]
4. Calculating:
[tex]\[ V_{\text{cone}} = \frac{1}{3} \cdot 3.14 \cdot 16 \cdot 9 = 150.72 \, \text{cubic centimeters} \][/tex]
Therefore, the paper cone cup can indeed hold 150.72 cubic centimeters of water.
The perimeter of a square depends on the length of its sides. Answer the questions below regarding the relationship between the perimeter of the square and the length of one side of the square.
The perimeter of a square is calculated by multiplying the length of one side by 4.
The perimeter of a square is the sum of all four sides. Since a square has equal sides, you can find the perimeter by multiplying the length of one side by 4. The formula for the perimeter of a square is P=4s, where P is the perimeter and s is the length of one side.
For example, if the length of one side is 5 units, the perimeter would be 4 * 5 = 20 units. If the length of one side is 8 centimeters, the perimeter would be 4 * 8 = 32 centimeters.
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A square has an area of 44.89in^2. How do you get the length of the diagonal of the square?
Answer:
[tex]6.7\sqrt{2}\ in[/tex]
Step-by-step explanation:
Let x inches be the length of the side of the square. The area of the square is
[tex]x\cdot x=x^2\ in^2[/tex]
Then
[tex]x^2=44.89\\ \\x=6.7\ in[/tex]
By the Pythagorean theorem,
[tex]d^2=6.7^2+6.7^2\\ \\d^2=44.89+44.89\\ \\d^2=89.78\\ \\d=\sqrt{89.78}=6.7\sqrt{2}\ in[/tex]
Find the length of a side by taking the square root of the area:
Side = sqrt44.89 = 6.7 inches.
Now to find the length of the diagonal multiply the side length by the sqrt of2:
Diagonal = 6.7Sqrt(2) ( exact length)
As a decimal= 9.4752
Which property is illustrated by the statement?
(2 + 3.4) + 6 = 2 + (3.4 + 6) (1 point)
Associative Property of Addition
Commutative Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
To which subset of real numbers does the number one-third belong? (1 point)
rational numbers
irrational numbers
whole numbers, integers, rational numbers
whole numbers, natural numbers, integers
What is the algebraic expression for the following word phrase: the product of 2 more than y and 7? (1 point)
7(y+2)
2(y+7)
7+(y+2)
7-(y+2)
Answer:
1. First option.
2. First option.
3. First option.
Step-by-step explanation:
1. You need to remember that the Associative Property of Addition states the following:
[tex](a+b)+c=a+(b+c)[/tex]
Notice that you can group the numbers "a", "b" and "c" in any combination.
In this case, given the statement provided in the exercise:
[tex](2 + 3.4) + 6 = 2 + (3.4 + 6)[/tex]
You can identify that it ilustrates the Associative Property of Addition.
2. Remember that:
- Natural numbers are known as "Counting numbers".
- Whole numbers include positive numbers and zero.
- Integers include the Whole numbers and the negative numbers.
- Rational numbers are those numbers that can be wriitten as a fraction:
[tex]\frac{a}{b}[/tex]
Where "a" is the numerator and "b" is the denominator.
- Integers are a subset of Rational Numbers.
- Irrational numbers cannot be written as a fraction.
Based on this, you can conclude that [tex]\frac{1}{3}[/tex] is a Rational number.
3. The product is the result of a multiplication.
In this case the word "more than" indicates Addition.
Then, the product of 2 more than "y" and 7 can be expressed as:
[tex]7(y+2)[/tex]
Four soccer teams compete in a tournament. Each team faced each other exactly once with no ties allowed. A team received 1 point for each win.
The results
Team 1 had 1 point
Team 2 had 3 points
Team 3 had 1 point
How many points did team 4 have?
Answer:
1 point
Step-by-step explanation:
The number of games in the tournament is:
₄C₂ = 6
Another way to look at it: Team 1 plays 3 games against Team 2, 3, and 4. Then, Team 2 plays 2 games against Team 3 and 4 (Team 2 already played Team 1). Finally, Team 3 plays a game against Team 4. So the total is 3 + 2 + 1 = 6.
If there's a total of 6 games, then there's a total of 6 points. So if x is the number of points Team 4 has:
x + 1 + 3 + 1 = 6
x + 5 = 6
x = 1
Team 4 has 1 point.
Alia works for 18.3 hours and earns $585.60. What does Alia earn per hour?
To calculate Alia's hourly wage, you divide the total amount she earned ($585.60) by the total number of hours she worked (18.3 hours), which results in approximately $32 per hour. This question is related to the subject of Mathematics, specifically rates and ratios.
Explanation:The subject of this question is Mathematics, specifically the sub-topic of rates and ratios, which includes calculating earnings per hour.
To calculate Alia's earnings per hour, we need to divide her total earnings by the number of hours she worked. Here's a step-by-step explanation:
First, identify the total amount earned and the total hours worked. In this case, Alia earned $585.60 in 18.3 hours.Next, divide the total earnings by the total number of hours worked. So we do $585.60 divided by 18.3 hours.The result will give you the hourly wage. After performing the division, we find that Alia earns approximately $32 per hour.Learn more about Hourly Wage here:https://brainly.com/question/1582269
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I'm having trouble with these problems. and my paper is due tomorrow. please help
Answer:
Step-by-step explanation:
Question 1) DoorDash charges a fee of $4.25 to deliver food from a local restaurant and $1.35 per mile. Your meal costs $10.47 before
delivery
Which of the following inequalities can be used to find the maximum number of miles, m, the delivery driver can travel so
that you spend no more than $30?
be
A
m
(10.47 +4.25 +1.35) > 30
arbel
B
10.47 +4.25m + 1.35m<30
°C 10.47 +4.25 + 1.35m 2 30
OD 10.47 +4.25 +1.35m 530
Answer:C
Step-by-step explanation: fixed cost = 10.47+4.25
Variable cost =1.35m
Total cost= 10.47+4.25+1.35m<=30
Answer:
Option C 10.47 +4.25 + 1.35m 2 30
Step-by-step explanation:
Data:
DoorDash charges a fee of = $4.25
Fee per mile = $ 1.35
Cost of a meal = $ 10.47
The maximum number of miles is given by:
10.47 + 4.25 + 4.25 < 30
Therefore, option C is correct.
A gas is contained in a 3.0L container at a temperature of 25°C. The gas exerts a pressure of 16 atm on the
container. If pressure is kept constant, what is the final volume of the gas if the temperature of the container is
increased to 200°C? (HS+C.P1013)
A. 5.6L
B.
4.8L
C. 1.9L
D.
24 L
Answer:
4.8 Liters.
Step-by-step explanation:
When pressure is kept constant the volume of a certain quantity of gas is proportional to the absolute temperature of the gas.
So, [tex]\frac{V_{f} }{T_{f}} = \frac{V_{i} }{T_{i}}[/tex] .......... (1)
Where, f denotes the final and i denotes the initial values.
Now, [tex]V_{i} = 3[/tex] Liters,
[tex]T_{i} = 25 + 273 = 298 K[/tex] and
[tex]T_{f} = 200 + 273 = 473 K[/tex]
Therefore, from equation (1) we get,
[tex]V_{f} = \frac{3 \times 473}{298} = 4.76[/tex] Liters ≈ 4.8 Liters. (Answer)
Consider the formula W=Fd, where
• W represents work
• F represents force and has units of Newtonsand
•D represents distance and has units of meters (m),
Select an appropriate measurement unit for work.
Plz look at pic
Answer:
Option B [tex]\frac{Kg*m^2}{s^2}[/tex]
Step-by-step explanation:
we know that
The formula to calculate the work is equal to
[tex]W=Fd[/tex]
where
W represents work
F represents force
d represents distance
The units are
[tex]F=(\frac{Kg*m}{s^2})[/tex] ---> Newtons
[tex]d=m[/tex] ---> meters
substitute the units in the formula
Remember that when multiply exponents with the same base, adds the exponents and maintain the same base
[tex](m)(m)=m^{1+1}=m^2[/tex]
so
[tex]W=(\frac{Kg*m}{s^2})(m)=(\frac{Kg*m^2}{s^2})[/tex]
Answer:
B
Step-by-step explanation:
10)_
If you multiply six positive numbers, the product's sign will be . If you mump
negative numbers, the product's sign will be
a) Positive; Negative
b) Negative; Negative
c) Positive; Positive
d) Negative; Positive
on will be. If you multiply six
Answer:
Step-by-step explanation:
Explanation:
The product of two positive numbers is always positive.
So product of All positive numbers will be always positive.
For Example
( + ) × ( + ) = ( + )
The product of two negative number is always positive.
So product of even negative numbers will be always positive
For example
( - ) × ( - ) = ( + )
Also product of negative and positive is also given as a negative
( - ) × ( + ) = ( - )
and
( + ) × ( - ) = ( - )
Let the Six Positive numbers be
a, b ,c , d, e, f
So the Product of Six Positive numbers will be
[tex](+a)\times (+b)\times (+c)\times (+d)\times (+e)\times (+f)=\textrm{Positive Number}[/tex]
Let the Six Negative numbers be
-a, -b ,-c , -d, -e, -f
So the Product of Six Negative numbers will be
[tex](-a)\times (-b)\times (-c)\times (-d)\times (-e)\times (-f)=\textrm{Positive Number}[/tex]
Therefore the Product's Sign will be
a) Positive ; Positive
Answer:
c) Positive; Positive
Step-by-step explanation:
As we know it is a basic rule in mathematics, that if positive is multiplied by positive it gives a positive result always. So hence, from this rule it is proved that if we multiply 6 positive numbers, we will be getting the product which will be having positive sign. And in the second part of the questions, answer is that if we multiply 6 negative numbers then the sign remains positive as we know it is also a basic rule in mathematics that when 2 negative numbers are multiplied by each and other then it will give a positive product. So the answer will remain 'c) Positive; Positive''
Law of cosines.Anyone good in Trigonometry?
Answer:
[tex]c=11.8\ units[/tex]
Step-by-step explanation:
we know that
The formula of law of cosines is equal to
[tex]c^2=a^2+b^2-2(a)(b)cos(C)[/tex]
where
a, b and c are sides. C is the angle opposite side c
In this problem we have
[tex]a=3\ units\\b=10\ units[/tex]
[tex]C=120^o[/tex]
substitute the given values
[tex]c^2=3^2+10^2-2(3)(10)cos(120^o)[/tex]
[tex]c^2=109-(60)cos(120^o)[/tex]
[tex]c^2=109-(60)(-0.5))[/tex]
[tex]c^2=109+30[/tex]
[tex]c^2=139[/tex]
[tex]c=11.8\ units[/tex]
Which has a positive value in Quadrant III?
A) Cosine only
B) Sine only
C) Tangent only
D) Cosine, Sine, and Tangent
Answer: THE ANSWER IS B (Sine ONLY)
Step-by-step explanation:i just did it on USAtestprep
Help me please and explain
Check the picture below.
chris bought a cup of hot chocolate does his cup probably hold 400 liters or 400 milliliters of hot chocolate
Answer:
Millileters
Step-by-step explanation:
If it held 400 liters, it would be a pretty gigantic cup
Answer:
400 millieters
Step-by-step explanation:
because a cup is measured in milliters
4^-3 × 4^2 × 4^5 = 4^?
The value of the missing exponent is 4^10?
True or false
Answer:
[tex] {4}^{ - 3} \times {4}^{2} \times {4}^{5} = {4}^{ - 3 +2 + 5} = {4}^{4} [/tex]
False. The missing exponent is 4.
S4) The data can be modeled by the regression line y = 1.2x + 3.5. What is the residual at
=5?
The residual is 1.5
Step-by-step explanation:
Given the regression line equation as : y=1.2x +3.5
The formula for residual = Observed y-value - Predicted y-value
This gives the vertical distance from the actual plotted point to the point on the regression line. You should find how far the data fall from the regression line.
In this case, at y=5, from the graph, to get the vertical distance, perform subtraction as;
5.0 - 3.5 = 1.5
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Keywords : residual, regression line, modeled, data
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Mari has a part time job. She earns $7 an hour. She makes at most $143.50 a week. What is the greatest number of hours she can work
Answer:
20 hours
Because 143.50/7= 20.5
Meaning the most she can work is 20 hours a week
the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base
Answer:
The Area of the base is 16 cm² .
Step-by-step explanation:
Given as :
The surface area of the cuboid = x = 95 cm²
The lateral surface area of the cuboid = y = 63 cm²
Let The Area of the base = z cm²
Now, Let The length of cuboid = l cm
The breadth of cuboid = b cm
The height of cuboid = h cm
According to question
∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)
Or, x = 2 ×(l × b + b × h + h × l)
Or, 95 = 2 ×(l × b + b × h + h × l)
Or, (l × b + b × h + h × l) = [tex]\dfrac{95}{2}[/tex] ....1
Similarly
∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)
Or, y = 2 ×(b × h + l × h)
Or, 2 ×(b × h + l × h) = 63
Or, (b × h + l × h) = [tex]\dfrac{63}{2}[/tex] ......2
Putting value of eq 2 into eq 1
so, (l × b + [tex]\dfrac{63}{2}[/tex] ) = [tex]\dfrac{95}{2}[/tex]
Or, l × b = [tex]\dfrac{95}{2}[/tex] - [tex]\dfrac{63}{2}[/tex]
Or, l × b = [tex]\dfrac{95 - 63}{2}[/tex]
i.e l × b = [tex]\dfrac{32}{2}[/tex]
so, l × b = 16
Now, Again
∵The Area of the base = ( length × breadth ) cm²
So, z = l × b
i.e z = 16 cm²
So, The Area of the base = z = 16 cm²
Hence,The Area of the base is 16 cm² . Answer
You order a pizza for dinner
The radius of the pizza is 7 inches
What is the diameter of the pizza? What is the circumference of the pizza? What is the area of the pizza?
Final answer:
The diameter of the pizza is 14 inches, its circumference is approximately 43.98 inches, and its area is about 153.94 square inches, calculated using fundamental geometry formulas for circles.
Explanation:
A pizza with a radius of 7 inches is given, and we are tasked with determining its diameter, circumference, and area. These are fundamental geometry calculations related to circles.
The diameter of a circle is twice its radius. So, the diameter of the pizza is 2 × 7 inches = 14 inches.
The circumference of a circle is calculated as π (Pi) times its diameter.
Therefore, the circumference of the pizza is π × 14 inches ≈ 43.98 inches (using π = 3.1416).
The area of a circle is given by π times the square of its radius (πr²).
Hence, the area of the pizza is π × 7² inches² ≈ 153.94 square inches.
These calculations provide a complete geometric understanding of the pizza's properties in terms of diameter, circumference, and area.
87th term of 12,0,-12
Answer:
[tex]a_{87} = -1020[/tex]
Step-by-step explanation:
Given:
The given AP is.
12,0,-12,......
[tex]n=87[/tex]
The first term of an AP [tex]a=12[/tex]
Common difference [tex]d=0-12=-12[/tex]
We use the the formula for nth term of an AP.
[tex]a_{n} = a+(n-1)d[/tex]
for 87th term
[tex]a_{87} = 12+(87-1)(-12)[/tex]
[tex]a_{87} = 12+(86)(-12)[/tex]
[tex]a_{87} = 12+(-1032)[/tex]
[tex]a_{87} = 12-1032[/tex]
[tex]a_{87} = -1020[/tex]
Therefore, The 87th term of given series is -1020.
- Make Sense and Persevere If x represents the number
of months since the beginning of 2016, and y represents
the total precipitation to date, predict the amount of
precipitation received between the end of March and
the end of June. MP.1
Pred
Total Precipitation
(in.)
0 2 4
Months Si
Answer:
5,46 inches per months
Step-by-step explanation:
1 year = 12 months
The average precipitation per month is :
65,52 inches ÷ 12 = 5,46 inches per months
HOPE THIS HELPED ;3
The predicted amount of precipitation received between the end of March and the end of June is 0 inches.
Explanation:To predict the amount of precipitation received between the end of March and the end of June, we need to find the difference in total precipitation between those two months. According to the given information, the total precipitation in inches for each month is as follows:
March: 4 inches
April: 2 inches
May: 0 inches
June: 4 inches
To find the amount of precipitation received between the end of March and the end of June, we can subtract the total precipitation at the end of March from the total precipitation at the end of June:
Total precipitation at the end of June - Total precipitation at the end of March = 4 inches - 4 inches = 0 inches
Therefore, the predicted amount of precipitation received between the end of March and the end of June is 0 inches.
in the following figure DE||BC AD=4cm DB=6cm AE=5cm then the value of EC is
Answer:
[tex]ec = \frac{6 \times 5}{4} = 7.5 [/tex]
what is the answer for 100- the sum of 3+x
Answer:
97-x
Step-by-step explanation:
100-(3+x)
= 100-3-x (- sign is multiplied with the both 3 and x)
= 97-x
Answer:
Step-by-step explanation:
x + 3 = 100
x = 100 - 3
x = 97
The owner of a chain of 12 restaurants wants to conduct a survey to determine whether his employees are properly informed by the location manager about safety procedures. Complete the statements below to identify the samples as random or non-random. If the owner surveys employees only at the most popular location and it’s likely all employees at each location were given the same safety information, the sample is . If the owner surveys the same number of employees at each of his restaurants, the sample is .
1. non-random and biased.
2. random and unbiased.
16x^4 - 144x^2
How to factorise this question and which identity should we use
The factored form of given expression is:
[tex]16x^2(x-3)(x+3)[/tex]
Step-by-step explanation:
The identity that can be used to factorize the given expression is:
[tex]a^2-b^2 = (a+b)(a-b)[/tex]
Given
[tex]16x^4-144x^2[/tex]
As 16 is a factor of both terms
[tex]=16x^2(x^2-9)[/tex]
Using the identity
[tex]=16x^2[(x)^2-(3)^2]\\=16x^2[(x-3)(x+3)][/tex]
Hence,
The factored form of given expression is:
[tex]16x^2(x-3)(x+3)[/tex]
Keywords: Factorization, polynomials
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-5(-5w+3v-2) how do I use distributive property to remove the parentheses
Answer:you would times everything on the inside by 5 im pretty sure
Step-by-step explanation:
Cami has correctly answered 70% of the first 20 questions on her final exam. At least how many of the remaining 12 questions must she get correct to get a final score that's greater than 80%?
Answer:
12
Step-by-step explanation:
Final answer:
Cami must answer all 12 of the remaining questions correctly to achieve a final score greater than 80% on her exam, having already secured 70% correct from the first 20 questions.
Explanation:
Cami has answered 70% of the first 20 questions correctly, which means she has 14 correct answers. As the final exam has 32 questions in total (20 + 12), to achieve a final score greater than 80%, she needs to get more than 80% of 32 total questions correct, which is more than 25.6 correct answers. Since she cannot get a fraction of a question correct, she needs at least 26 correct answers in total. Given she has already 14 correct, she needs at least 12 more correct answers out of the remaining 12 questions to achieve this score.
plz answer which is it from the 4 choices
Answer:
Option 3
Step-by-step explanation:
we know that
The solution show in the graph represent the interval [4,∞)
All real numbers greater than or equal to 4
In a number line the solution is the shaded area at right of x=4 (closed circle)
The number 4 is included in the solution set
therefore
Option 3
How do you write the subtraction problem -8-5 as an addition problem?
Answer - 8+(-5)= -13
Step-by-step explanation: