Answer:
An army ant queen can lay 299,742 more eggs
The army ant queen will lay 120 times more eggs than the honeybee queen.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a honeybee queen can lay 2.5 × 103 eggs per day. An army ant queen can lay up to 300,000 eggs per day.
The ratio will be calculated as,
Army ant/honeybee queen = 300,000 / (2.5 x 10³)
Army ant/honeybee queen = 300,000 / 2500
Army ant = 120 x ( honeybee queen )
Therefore, the army ant queen will lay 120 times more eggs than the honeybee queen.
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8. The spherical cover of a lamp has a mass of 780 g and a diameter of 25 cm. If you were to use it to carry water, what would its mass be when it is full of water? Express your answer in kilograms.
The mass when it is full of water will be 8,961 grams.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The spherical cover of a lamp has a mass of 780 g and a diameter of 25 cm. If you were to use it to carry water.
We know that the density of the water is 1 g / cm³. Then the mass of the water will be given as,
Density = mass / volume
1 = m / [(4/3)πr³]
m = (1/6) πd³
m = 8181 grams
The mass when it is full of water will be
⇒ 780 + 8181
⇒ 8,961 grams
The mass when it is full of water will be 8,961 grams.
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Write each equation in slope-intercept form. Then find the slope and y -intercept of each line. -3 x+2 y=7
The slope-intercept form of the given equation of a line is: y = 3/2(x) + 7/2 The slope here, is 3/2 and y-intercept is 7/2.
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Now,
The slope-intercept form of an equation of a line is given by: y = mx + c, where m = slope of the line and c = y-intercept of the line.
Transforming the given equation of the line: -3x + 2y = 7
=> 2y = 7 + 3x
=> y = 3/2(x) + 7/2
On comparing it with y = mx + c, we get that: m (slope) = 3/2 and c = 7/2 (y-intercept).
Hence, The slope-intercept form of the given equation of a line is: y = 3/2(x) + 7/2. The slope here, is 3/2 and y-intercept is 7/2.
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what does SSA stand for? what does it have to do with similar triangles?
Answer:
SSA stands for side-side angles.
Step-by-step explanation:
SSA means there are two known sides of a triangle and one known angle that is not between the two sides and they are equal to two known sides and a angle of another triangle, the triangles are similar (that’s what SSA has to do with similar triangles)
how do i solve this math problem 5x+2=3(x-1)
me positive
If M is the midpoint of AB, AM = 6x-4, and MB=8x-10, then find AB. (Hint: solve for x first!)
If M is the midpoint of AB , Value of AB = 28
What is mid points of line?
A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.If M is the midpoint of AB it means AM is equal to MB
AM = 3x + 8 and MB = 6x-4
and AB = AM + MB
first find the value of x by using AM = MB
6x-4 = 8x-10
-4 + 10 = 8x - 6x
6 = 2x
x = 3
AB = 6( 3 ) - 4
= 18 - 4 = 14 = MB
AB = AM + MB
= 14 + 14
= 28
so, the value of AB is 28
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Which of the following represents the solution to the inequality -(4)x - 4 ≥ 8?
Answer:
Step-by-step explanation:
-4x ≥ 12 (Add 4 to both sides)
x ≥ -3 (Divide each side by -4)
Answer: x≤-3
Step-by-step explanation:
[tex]-(4)x-4\geq 8\\-(4)x-(1)(4)\geq (4)(2)[/tex]
Divide both parts of the equation by 4:
[tex]-x-1\geq 2\\-x-1+x\geq 2+x\\-1\geq 2+x\\-1-2\geq 2+x-2\\-3\geq x[/tex]
The mass of a paperclip is 8.0 × 10^−4 mg. If a box of paperclips has 7.68 × 10^4 paperclips, determine the total mass of the paperclips in the box. Write the final answer in scientific notation with the correct number of significant digits.
6.1 × 10^1mg
6 × 10^1 mg
6.144 × 10^1 mg
9.6 × 10^0 mg
The required mass of the paper clips in the box is = 61.44 mg.
Given that,
mass of a paperclip = 8.0 × 10⁻⁴
Number of paperclip in the box = 7.68 × 10⁴
The total mass of the paper clips is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Mass of paperclips = 8.0 × 10⁻⁴ x 7.68 × 10⁴
Mass of paperclips = 61.44 * 10 ⁻⁴⁺⁴
Mass of paperclips = 61.44 * 10 ⁰
Mass of paperclips = 61.44 * 1
Thus, the required mass of the paper clips in the box is = 61.44 mg.
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Help it is due tonight
The three inequalities are y ≤ 18 - x, x + y ≤ 1.50, and x > 4.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given that Rashaad has x dimes and y nickels having no less than 18 coins. The total amount is $1.50. The number of dimes is at least 4.
The inequalities formed by the given data are:-
y ≤ 18 - x,
x + y ≤ 1.50,
x > 4.
The graphical representation of the inequalities is shown in the attached graph below with the answer.
Therefore, the three inequalities are y ≤ 18 - x, x + y ≤ 1.50, and x > 4.
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Find the 17 th term of each sequence. a₁₈ = -5, d=12
The 17 th term of each sequence a₁₈ = -5, d=12 is [tex]a_{17}[/tex] = 187.
What is a sequence?
a₁₈ = -5, d=12
[tex]a_{17}[/tex] = a + (n-1)d
[tex]a_{17}[/tex] = -5 + (16)12
[tex]a_{17}[/tex] = 187
succession: the doing of one thing after another. A list of books is presented in alphabetical order. a succession of sonnets that is continuous or connected. a later event, outcome, or repercussion; something that happens after.
A series of numbers is an ordered list. The three dots signify moving forward in the set pattern. Each digit in the sequence is referred to as a word. The first term in the list is 1, followed by the second by 3, the third by 5, and so on.
Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary categories of distinct sequences you need to be familiar with.
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1) |x|-4 = 9
2) |x - 4| = 9
Solve the absolute value for each equation.
Answer:
13 & 5
Step-by-step explanation:
Absolute for x still gives a positive X value
So: X- 4 = 9
X = 9 + 4
X = 13
|x-4| = 9
Gives X + 4 = 9
x = 9 - 4
X = 5
Rewrite the expression using the
distributive property: 15(5-2)
Answer: 75-30
Step-by-step explanation:
15(5-2)=
(15 * 5) - (15 * 2)= ==> multiply 15 by 5 and 2
75-30
What is the equation of the line that passes through the point (8,3) and has a slope of -1/4
equation of the line that passes through the point (8,3) is
3 = -2 + c
WHAT IS THE EQUATION OF LINE ?The equation for a straight line is y=mx + c, where c is the height at which the line intersects the y-axis, also known as the y-intercept, and m is the gradient.
CALCULATIONSince the equation of line is
y = mx + c
where m represents the slope
m = -1/4 (given)
and point for which we have to find the equation is (8,3)
plugging each and every value in the equation
we get the equation of the line ,
3 = -1/4 (8) + c
3 = -2 + c
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Is the ordered pair (3/4, 0) a solution of 3x+y>3 ? Explain.
The Given expression in the question is this 3x+y>3; the answer to this expression is (3/4,0).
So, we need to find the solution to the given expression and then compare the answers to see if they match each other. If so, the ordered pair is the solution of the given word; if not, the ordered pair is not the solution of the given expression.
In this problem, you substitute ordered pairs of x and y values into the equation.
3(3/4) + (0) > 3
9/4 + 0 > 3
9/4 > 3 No, 9/4 is not greater than 3, so the ordered pair is (3/4,0). Not the solution to the equation
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i'll give brainliest
Answer:
its d
Step-by-step explanation:
What is the average speed of an
automobile trip of 275 miles that
began at 7:30 in the morning and
ended at 12:30 in the afternoon
The average speed of an automobile is a 55 miles per hour.
According to the statement
We have to find that the value of the average speed of an automobile.
So, For this purpose, we know that the
The average speed is the total distance traveled by the object in a particular time interval.
From the given information:
automobile trip of 275 miles that began at 7:30 in the morning and ended at 12:30 in the afternoon
Then
The total distance covered = 275 miles
And
The total time taken = From 7:30 in the morning to 12:30 in the afternoon
Then
The total time taken = 5 hours,
Then
Average speed = total distance covered / total time taken
Average speed = 275 miles / 5 hours
Then
Average speed = 275 / 5
Average speed = 55 miles per hour.
So, The average speed of an automobile is a 55 miles per hour.
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Find the center and the radius of each circle. x²+y²=14
The equation of the circle x^2 + y^2 = 14 has a radius of √14 and a center located at (0 , 0).
The standard form of the equation of circle is given by
(x - h)^2 + (y - k)^2 = r^2
where (h , k) is the location of the center and r is the radius of the circle.
On the other hand, the general form of the equation of circle is given by
x^2 + y^2 + Dx + Ey + F = 0
where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.
If the equation of the circle,x^2 + y^2 = 14, is in standard form, then
h = 0
k = 0
r = √14
Hence, the equation of the circle x^2 + y^2 = 14 has a radius of √14 and a center located at (0 , 0).
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Evaluate:
1.62 +3.5 =
The answer is 5.12 easy as pie
Write each subtraction equation as an
addition equation.
a) - 9 = 6
p) - 20 =-30
z) - (-12) = 15
x) - (-7) = -10
WILL REWARD WITH BRAINLIEST + THANKS
Answer:
a) 6+9=15
p) -30+20= -10
m) 15-12=3
X) -10-7= -17
Let f ( x ) = 1 x and g ( x ) = x 2 + 5 x . a. Find (f · g)(x). b. Find the domain and range of (f · g)(x).
The answer to all the subparts are given:
(f · g)(x) = [(f X g)(x) = x + 5]The domain of the given function: (-∞, 0) ∪ (0, ∞)The Range of the given function: (-6.25, 0) ∪ (0, ∞)(A) (f · g)(x):
So,
(f×g)(x)=f(x)*g(x)Plug in:
[tex](f X g)(x)=\frac{1}{x}\left(x^2+5 x\right)[/tex]Simplify as follows:
[tex]\begin{aligned}&(f X g)(x)=\frac{1}{x}(x(x+5)) \\&(f X g)(x)=x+5\end{aligned}[/tex]
(B) Domain:
First, we will determine the domain of f(x), g(x), and (fxg) (x).
Then we can look for a common domain.
The domain of f(x):
[tex]f(x)=\frac{1}{x}[/tex]At x=0, we know that f(x) is undefined.
As a result, the domain will be:
[tex](-\infty, 0)_{\cup}(0, \infty)[/tex]The domain of g(x):
[tex]g(x)=x^2+5 x[/tex]
Because it is polynomial.
As a result, it is defined for all real values of x.We can now find a common domain.As a result, the domain will be:
[tex](-\infty, 0) \cup(0, \infty)[/tex](C) Range:
First, we will determine the range of f(x), g(x), and (fxg) (x).
Then we can determine the common range.
f(x) range:
[tex]f(x)=\frac{1}{x}[/tex]We know that range refers to all possible y values for which x is defined.
Because the horizontal asymptote will be at y=0.
As a result, the range is:
[tex](-\infty, 0) \cup(0, \infty)[/tex]Range of g(x):
[tex]g(x)=x^2+5 x[/tex]Because it is a quadratic equation.
As a result, its range will be:
[tex][-6.25, \infty)[/tex]We can now find a common range.
As a result, the range will be:
[tex](-6.25,0) \cup(0, \infty)[/tex]
Therefore, the answer to all the subparts are given:
(f · g)(x) = [(f X g)(x) = x + 5]The domain of the given function: (-∞, 0) ∪ (0, ∞)The Range of the given function: (-6.25, 0) ∪ (0, ∞)Know more about domain range here:
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Solve the inequality.
7(x − 3) > −7\
Step-by-step explanation:
7(× - 3) > - 7
7× - 21 > - 7
7× > -7 + 21
7× > 14
______
7 7
× = 2
Help!!! Limited time
You want to buy some clothing from an online retailer. The shirts cost $9 each and the pants cost $12 a pair. They also charge $4 shipping and handling for each order. Write a variable expression to represent the situation and determine what your total would be if you ordered 5 shirts and 2 pairs of pants.
Please show variable expression
For the given shirts and pants the cost of the 5 shirts and 2 pairs of pants will be $73.
What is an expression?
The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the shirts cost $9 each and the pants cost $12 a pair. They also charge $4 shipping and handling for each order. the cost of 5 shirts and 2 pairs of pants will be calculated as below:-
Cost = 9s + 12 p + 4
Cost = 9 ( 5 ) + 12 ( 2 ) + 4
Cost = 45 + 24 + 4
Cost = $73
Therefore, the cost of the 5 shirts and 2 pairs of pants will be $73.
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If you dig a 6ft hole, how deep is it?
Answer: 8 feet
Step-by-step explanation:
Calculate the probability of the spinner landing on a purple section of the board. what is the probability that the spinner will land on a purple section of the board? or or
The probability of purple section on spinning is 1/2.
As per the given image of question, we can see there six parts of board. Out of these, three parts of board are purple colored.
Now, the formula of probability is -
Probability = number of favorable outcomes÷total number of outcomes
Number of favorable outcomes = number of purple colored parts of board
Number of favorable outcomes = 3
Number of favorable outcomes = number of colored parts of board
Number of favorable outcomes = 6
Keep the value in formula to find the probability -
Probability = 3/6
Performing division
Probability = 1/2
Hence, the probability that the spinner will land on a purple section of the board is 1/2.
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The complete question is -
Calculate the probability of the spinner landing on a purple section of the board. What is the probability that the spinner will land on a purple section if the board.
A) 1/6
B) 2/6 or 1/3
C) 3/6 or 1/2
In this problem, you will explore changing dimensions in circles.
e. The scale factor from ®A to ®B is b/a . Write an equation relating the circumference (CA) of ®A to the circumference (CB) of ®B .
The equation relating the circumference (CA) of ®A to the circumference (CB) of ®B is a(CA) - b(CB) = 0.
What is scale factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.
Now it is given that,
scale factor from ®A to ®B = b/a
⇒Ks = b/a
∵ Ks = A/B
By comparison we get,
A = b
and B = a
Thus, circumference (CA) of ®A = 2πr = 2πb
and, circumference (CB) of ®B = 2πr = 2πa
Dividing both we get,
circumference (CA) of ®A/circumference (CB) of ®B = b/a
by cross multiplication we get,
a * circumference (CA) of ®A = b * circumference (CB) of ®B
or, a * circumference (CA) of ®A - b * circumference (CB) of ®B = 0
or, a(CA) - b(CB) = 0
this is the required equation.
Thus, the equation relating the circumference (CA) of ®A to the circumference (CB) of ®B is a(CA) - b(CB) = 0.
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Given the following series of numbers, determine the mode.
a. 50, 45, 55, 55, 45, 50, 55, 45, 55
b. 89, 87, 88, 83, 86, 82, 84
c. 11, 17, 14, 12, 12, 14, 14, 15, 17, 17
The most frequent numerical value in a set of data exists named the mode.
The mode in 50, 45, 55, 55, 45, 50, 55, 45, 55 is 55.
There is no mode in 89, 87, 88, 83, 86, 82, 84.
The mode in 11, 17, 14, 12, 12, 14, 14, 15, 17, 17 is 14 and 17.
What is the mode?A data set's mode is its most prevalent value. It is the number that appears most frequently on a list. The number with the highest sum is referred to as the mode.
The most frequent numerical value in a set of data is called the mode. In other words, the number that appears the most times in a list is the mode.
Rearranging the list of integers from least to greatest and then counting the occurrences of each number in the new order will reveal the mode. The mode is the most frequent number.
The average value in a data set exists in the most popular statistical data analysis technique, named Mean.
The median exists the data set's midway.
Mode exists the value that dominates a data set.
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Please help asap Geometry
Step-by-step explanation:
72+68=140°
180-140=40°
z=40°
A cyclist rode 3.75 miles in 0.3 hours.
How fast was she going in miles per hour? ___ miles per hour
At that rate, how many minutes will it take her to go 4.5 miles? ___ minutes
Answer:
12.5
Step-by-step explanation:
3.75 divided by 0.3 is equal to 12.5
so 4.5 divided by 0.3 is equal to 15
Answer:
12.5
Step-by-step explanation:
what mathematical property is this: 2(1/2)=1
Answer: reciprocal property
Step-by-step explanation:
2 = 2/1 so flipped would be 1/2
How should the decimal point in 6.8 be moved to determine the product of 6.8 and 100
The decimal point should be moved two places to the right.
The number we have given is = 6.8
We have to find how many decimal point should be moved when 6.8 is multiplied by 100
We know that when we multiply a decimal number with 10, 100, 1000,…. and so on. We shift the decimal point to the right side according to the number of zeroes present.
According to the question, we have two zeroes therefore we will shift the decimal point to the rights side two times, that is,
6.8 * 100 = 680
Hence the decimal point should be moved two places to the right.
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Determine the values of y in the equation y2 = 121.
whoever gets it right gets a crown pls help
Answer:
y = 11
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex] \rightarrow \sf \: y {}^{2} =121[/tex]
Step 1: Take square root.
[tex] \sf \: y=± \sqrt{121} [/tex]
y=11 or y=−11
