Step-by-step explanation:
We have the formula for the surface area of a rectangular box given by:
S = 4LW + 2WH
Substituting the given values, we get:
138 = 4(9)(3) + 2(3)H
Simplifying, we get:
138 = 108 + 6H
6H = 138 - 108
6H = 30
H = 30/6
H = 5
Therefore, the value of the unknown variable H is 5.
.
Which is a unit rate?
You can spend $105 on 3 pairs of jeans.
The cost is $28 for 1 jacket.
Georja spends $70 on 2 pairs of shoes.
The store is offering a sale of $35 per 5 shirts.
The cost of $28 for 1 jacket. This can be expressed as a rate of $28 per 1 jacket or $28/jacket, where the unit is "jacket".
What is unit rate?A unit rate is a rate that compares a quantity to one unit of another quantity. In other words, it is a rate that describes how much of one quantity there is per one unit of another quantity.
For example, if you drive 200 miles in 4 hours, the unit rate of your speed is 50 miles per hour, or 50 miles/hour. This means that you traveled 50 miles for every one hour of driving.
Unit rates are commonly used in many real-life situations, such as calculating miles per gallon in a car, the cost per pound of food at the grocery store, or the rate of interest on a loan.
A unit rate is a rate that compares a quantity to one unit of another quantity.
Out of the options given, the unit rate is:
Therefore, The cost of $28 for 1 jacket. This can be expressed as a rate of $28 per 1 jacket or $28/jacket, where the unit is "jacket".
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Please help!! Worth 50 points
The ball with the greater maximum height is the second ball
The ball with the greater maximum heightFrom the question, we have the following parameters that can be used in our computation:
f(t) - 4t^2 + 16t
g(t) = -16t^2 + 64t + 192
Differentiate and set them to 0
-8t + 16 = 0
-32t + 64 = 0
Solve for t
t = 2 in both cases
So, we have
f(2) = -4(2)^2 + 16(2) = 16
g(2) = -16(2)^2 + 64(2) + 192 = 256
Hence, the ball with the greater maximum height is the second ball
Which ball hits the ground firstTo do this, we set the function to 0 and calculate t
So, we have
f(t) = -4t^2 + 16t = 0
g(t) = -16t^2 + 64t + 192 = 0
Using a graphing tool, we have
t = 4
t = 6
This means that the first ball landed first
How to change the termTo change the term, we set the constant term in g(t) = -16t^2 + 64t + 192 to a negative number > -192
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=. Xavier wants to buy a new TV. Before he goes to the store, he measures his TV and notes that it is 56 inches long and 33 inches wide. When Xavier gets to the store, he realizes that TVs are measured by their diagonal length! What is the diagonal length of his current TV?
The diagonal length of his current TV is 65 inches.
What is Pythagoras Theorem?Pythagoras theorem states that for a right-angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude. It can be used to find the diagonal of a rectangle if we know the length and the width.
As per the given data:
Length of the TV (l) = 56 inches
Width of the TV (b) = 33 inches
To find the diagonal length (d) of the TV:
From Pythagoras theorem:
[tex]d = \sqrt{l^2 +b^2}\\d = \sqrt{(56)^2 +(33)^2}\\d = \sqrt{3136 +1089}\\d = \sqrt{4225}\\d = 65 inches[/tex]
Hence, the diagonal length of his current TV is 65 inches.
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how many terms 20 - (4 to the second power divided by 2) has
The number of terms in the expression is 2
How to determine the number of terms in the expressionFrom the question, we have the following:
20 - (4 to the second power divided by 2)
Express properly
so, we have the following representation
20 - (4^2/2)
A term is a mathematical expression that can be added or subtracted to form a larger expression.
For example, in the expression 3x + 2y - 5, each of the three parts (3x, 2y, and -5) is a term.
Using the above definition, we have the terms to be
20 and (4^2/2) i.e. 2 terms
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A marine biologist was interested in seeing the relationship between a manatee's weight and height. She gathered data and wanted to construct a graph to display the data in order to observe this relationship.
Is a scatter plot or a line graph more appropriate to construct for the data, given the context of the problem? Explain.
A scatter plot, because it would show the association or relationship between two variables
A scatter plot, because it would show how a variable changes over time between each data point given
A line graph, because it would show the association or relationship between two variables
A line graph, because it would show how a variable changes over time between each data point given
The correct answer is a scatter plot, because it would show the association or relationship between two variables.
What is a scatter plot?A scatter plot is a graph that displays values of two variables on two axes. It is used to show the relationship between the two variables and how one variable affects the other. It is also known as a scatter graph, scatter chart, scattergram, or scatter diagram. The points are plotted on a graph and can be used to identify patterns and trends in the data.
A scatter plot can be used to display the relationship between two variables, such as the weight and height of a manatee. The points on the scatter plot would represent each manatee's weight and height, and the pattern of the points can be used to see the overall relationship between the two variables. A line graph, on the other hand, is used to show how a variable changes over time between each data point given, and would not be suitable for this context as the data collected is not related to time.
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PLEASE simplify 2x +24 =64
Answer:
x = 20
Step-by-step explanation:
2x + 24 = 64
2x = 40
x = 20
Let's check
2(20) + 24 = 64
40 + 24 = 64
64 = 64
So, x = 20 is the correct answer.
Answer:
[tex] \sf \: x = 20[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 2x + 24 = 64
Then the value of x will be,
→ 2x + 24 = 64
→ 2x = 64 - 24
→ 2x = 40
→ x = 40 ÷ 2
→ [ x = 20 ]
Hence, the value of x is 20.
PLEASE HELP The toll to cross a bridge is $1.25. If $72.50
was collected at a toll booth in one hour,
how many cars went through the booth? How would you put that in an equation with the letter C?
The answer to this question is as follows The formula for the letter C is: equation $1.25C = $72.50
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.
Let C represent the volume of vehicles that passed through the booth.
As $1.25 is the amount collected per vehicle, the following equation represents the total amount collected:
Total = $1.25 plus C
Also, we are aware that $72.50 was collected in one hour, allowing us to create another equation:
$72.50 = $1.25 × C
We may divide both sides by $1.25 to find C:
C = $72.50 ÷ $1.25
C = 58
58 vehicles passed through the booth as a result.
The formula for the letter C is:
$1.25C = $72.50
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select all of the expressions that are equivalent to 3²/3-²
Answer:
3 to the power of -4 and -81Step-by-step explanation:
What is the area of this figure?
___ units 2
The area of the figure is equal to:
A = 28[tex]unit[/tex]² + 7[tex]unit[/tex]² + 7[tex]unit[/tex]² =42[tex]unit[/tex]²
Provide an area example.You could also draw the shape on a grid and count the squares there: The rectangle has a 15 surface area. For instance, if the space is 15 m2 and each square is one meter in size (15 square meters).
Answer:
42[tex]units[/tex]²
Step-by-step explanation:
we know that
The area of the figure is equal to the area of a rectangle plus the area of two triangles
Find the area of rectangle
Observing the graph
The area of rectangle is equal to
A= bh = (2+5)(2+2)= 28[tex]unit[/tex]²
Find the area of the top triangle
A = 1/2bh = 1/2(2+5)(2+2) = 7[tex]unit[/tex]²
Find the area of the bottom triangle
A = 1/2bh = 1/2(2+5)(2+2) = 7[tex]unit[/tex]²
the area of the figure is equal to
A = 28[tex]unit[/tex]² + 7[tex]unit[/tex]² + 7[tex]unit[/tex]² =42[tex]unit[/tex]²
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If you were to reflect the coordinates (4,6), (12,2), and (-1,0) about the y-axis, what would
then be your new coordinates?
Answer:
Step-by-step explanation:
When reflecting coordinates about the y-axis, we change the sign of the x-coordinate while keeping the y-coordinate the same.
So, for the point (4, 6), the new coordinates after reflection about the y-axis would be (-4, 6).
For the point (12, 2), the new coordinates would be (-12, 2).
For the point (-1, 0), the new coordinates would be (1, 0).
Therefore, the new coordinates after reflecting these points about the y-axis are (-4, 6), (-12, 2), and (1, 0).
WILL GIVE BRAINLIEST IF U DO ANSWER AND SHOW WORK I NEED THIS DUE BY TODAY!!!!!!!!!!
1) The volume of the first rectangular prism is 175 ft³
2) The volume of the second rectangular prism is 60ft³
3) The volume of the third rectangular prism 140ft³
4) The volume of the Fourth rectangular prism 216ft³
What is the rationale for the above response?Note that in order to find the volume of area of a complex figure, you must deconstruct it into manageable proportions.
Shape 1 above, we deconstructed the rectangular prism into two 3 dimensional shapes with the following metrics:
a)
Length = 7ft
Height = 2ft
width = 2ft
Volume = Volume = 7ft x 2ft x 2ft
Volume = 28 ft³
b)
Length = 7ft
Height = 3ft
width = 7ft
Volume = 147 ft³
Total Volume = 28 ft³ + 147 ft³
Volume for Shape 1 = 175 ft³
In shape 2 above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:
a) Length = 3ft
Height = 2ft
width = 1ft
Volume = 6 ft³
b) Length = 6ft
Height = 3ft
width = 3ft
Volume = 54 ft³
Thus, total volume for shape 2 is:
Volume = 6 + 54
Volume = 40 ft³
Shape 3, above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:
a) Length = 7ft
Height = 1ft
width = 2ft
Volume = 14ft³
b)
Length = 7ft
Height = 3ft
width = 6ft
Volume = 126ft³
Thus, the total volume for shape 3, =
Volume = 14ft³ + 126ft³
Volume = 140ft³
Shape 4, above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:
a) Length = 4ft
Height = 3ft
width = 2ft
Volume = 24 ft³
b) Length = 4ft
Height = 12ft
width = 4ft
Volume = 192 ft³
Thus, the total volume for Shape 4:
Volume = 24 ft³+ 192 ft³
Volume = 216ft³
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If there’s two rectangulars that are similar and one is 6cm and 2.8 cm what is the measure of x if the other rectangle is 9cm and x cm
For two similar rectangle value of x is,
⇒ x = 4.2 cm
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
There’s two rectangular that are similar and one is 6cm and 2.8 cm.
Now, By using definition of proportion;
The proportion of there corresponding sides are equal.
Hence, We get;
⇒ 6/2.8 = 9/x
Solve for x;
⇒ x = 9 × 2.8 / 6
⇒ x = 4.2 cm
Therefore, For two similar rectangle value of x is,
⇒ x = 4.2 cm
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Q.6.
Carol wants to earn at least $150 for her charity while running a race. She will earn $20 for
participating plus $7 for each mile she runs. If m represents each mile she runs, which
inequality represents the inequality?
7m+20 <150
7m+20>150
20m+7≤ 150
20m +72 >150
Answer:
7m + 20 ≥ 150
Closest option is 7m + 20 > 150 which is the second choice
Step-by-step explanation:
The words "at least" indicate a ≥ inequality.
There is a fixed earning of $20 for entering the race. So this amount will be earned on regardless of how much Carol runs
For each mile she runs she earns $7. For running m miles, she earns 7m dollars
Total amount earned for running m miles = 7m + 20
This must be at least $150
So the correct inequality is
7m + 20 ≥ 150
I don't see this exact inequality in any of the answer choices but that is the correct answer.
Write 4 3/20 as a decimal
Answer:
4.15 or
Step-by-step explanation:
100/20=5 times 3 is 15
so its 4.15 which equals 4 3/20
What are the domain and range of the function f(x)= x^4-2x^2-4? domain: all real numbers range: all real numbers greater than or equal to –5 domain: all real numbers range: all real numbers greater than or equal to –4 domain: all real numbers between –2.5 and 2.5 range: all real numbers domain: all real numbers between –2.5 and 2.5 range: all real numbers greater than or equal to –5
Answer:
The correct answer is: domain: all real numbers, range: all real numbers greater than or equal to -5.
We can see that the function is a polynomial of degree 4, which means it is defined for all real numbers. Also, as x^4 is always non-negative, the minimum value of the function occurs when x=0, and it is f(0) = -4. Therefore, the range of the function is all real numbers greater than or equal to -4. However, since the function is increasing as we move away from 0, the range is actually all real numbers greater than or equal to the minimum value of -4 plus the vertical shift of -1, which is -5.
find the inverse of each function
1. f(x) = 4/3x -7
2. (the picture above)
The inverse of the given functions are f⁻¹(x) = 3/4(x + 7) and f⁻¹(x) = x^2 + 10x + 25
What is the inverse of a function?The inverse of a function is a new function that undoes the effects of the original function.
In other words, if we have a function f(x) that maps x to y, then the inverse of f(x), denoted by f^-1(y), maps y back to x.
Given that:
f(x) = 4/3x - 7
Write as an equation
y = 4/3x - 7
Interchange the variables
x = 4/3y - 7
Solve for y
y = 3/4(x + 7)
Replace y with f⁻¹(x) to show the final answer.
f⁻¹(x) = 3/4(x + 7)
Also, the inverse of the function f(x) = √x -5 is computed as follows:
Interchange the variables and solve for y;
x = √y -5
y = x^2 + 10x +25
Replace y with f⁻¹(x) to show the final answer.
f⁻¹(x) = x^2 + 10x + 25
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The function h is defined as follows for the domain given. h(x)=1-2x, domain =−3, -1, 2, 4 Write the range of h using set notation. Then graph h.
Answer:
you go queen
Step-by-step explanation:
yas
You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 12 buns, 18
defrosted beef patties, and 16 opened cheese slices. Rather than throw them out, you decide to use them to make burgers
that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2
beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of
cheese. How many of each should you make?
plain burgers
double cheeseburgers
regular cheeseburgers
Answer:
Plain burgers: 12
Double cheeseburgers: 9
Regular cheeseburgers: 12
Step-by-step explanation:
Let's use P, D, and R to represent the number of plain burgers, double cheeseburgers, and regular cheeseburgers, respectively.
Each plain burger requires 1 patty and 1 bun, so we can make a maximum of 12 plain burgers (since we have 12 buns).
Each double cheeseburger requires 2 patties, 1 bun, and 2 slices of cheese, so we can make a maximum of 9 double cheeseburgers with the available patties, buns, and cheese. (We have enough patties and buns for 18 burgers, but each double cheeseburger uses twice as many patties, so we divide the total number of patties by 2 to get the maximum number of double cheeseburgers we can make.)
Each regular cheeseburger requires 1 patty, 1 bun, and 1 slice of cheese, so we can make a maximum of 16 regular cheeseburgers with the available patties, buns, and cheese (since we have 16 slices of cheese).
To maximize our sales, we want to make as many of each type of burger as we can. Since we can only make 12 plain burgers, we should make all 12 of those. We can then make 9 double cheeseburgers (using 18 patties, 9 buns, and 18 slices of cheese), and 12 regular cheeseburgers (using 12 patties, 12 buns, and 12 slices of cheese).
So the final answer is:
Plain burgers: 12
Double cheeseburgers: 9
Regular cheeseburgers: 12
Prove △ABC≅△CDA.
Please give me the next reasonable answers to prove △ABC≅△CDA.
The proof that proves the two triangles are congruent by the AAS congruence theorem is shown below.
What is the AAS Congruence Theorem?Angle-Angle-Side (AAS) is an abbreviation that refers to a method of determining congruence in triangles. If two triangles have two corresponding angles that are equal, and the non-included side between these angles is also equal, then the triangles are considered congruent.
The proof below shows how to apply the AAS congruence theorem to prove both triangles are congruent.
Statement Reason
1. ∠B ≅ ∠D; BC║AD 1. Given
2. AC ≅ CA 2. Reflexive property
3. ∠BCA ≅ ∠DAC 3. Alternate interior angles theorem
4. △ABC ≅ △CDA 4. AAS congruence theorem
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regla general de las siguientes secuencias -2,1,6,13,22,33...
Answer:
46
Step-by-step explanation:
your add odd number 1,3,5,7,9,11,13...
Find the minimum sample size n needed to estimate μ for the given values of c, σ, and E.
c = 0.95, σ = 9.1, E = 1
Answer:
The formula to calculate the minimum sample size required to estimate the population mean is given as:
n = (z^2 * σ^2) / E^2
Where,
z = the z-value for the given confidence level, which is 1.96 for c = 0.95
σ = the population standard deviation
E = the maximum error of estimate, also known as the margin of error
Plugging in the values, we get:
n = (1.96^2 * 9.1^2) / 1^2
n = 301.63
Rounding up to the nearest whole number, the minimum sample size required is 302.
Therefore, a sample size of at least 302 is needed to estimate the population mean with a 95% confidence level, assuming a population standard deviation of 9.1 and a maximum error of estimate of 1.
Step-by-step explanation:
In the number 4,434, how does the value represented by the digit in the thousands place compare with the value represented by the same digit in the hundreds place? Math item stem image CLEAR CHECK It is 10 more. It is 10 times the value. It is 100 times the value. It is the same value.
When compared to the value denoted by the same digit with in hundreds place, the value in the thousands place is 10 times greater.
Explain about the place value chart?We can determine the place value from every digit by looking at a place value chart, which is a highly helpful table format.
In the place value chart, a digit's place value increases as we move left and drops as we move right by a factor of ten.We can also write numbers using their expanded form by using base-ten blocks to indicate the place values of the digits in the number.The digits in a decimal number to the left of that decimal point stand for a whole number. The parts are represented by the digits toward the right of the decimal.In the given number: 4,434.
thousands place : 4
hundreds place: 4
Thus, when compared to the value denoted by the same digit with in hundreds place, the value in the thousands place is 10 times greater.
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in miami fl, a rental car company charges $0.45 per mile and a flat fee of $20.00 for renting the car
The equation that shows the total cost of renting the car from the company is y = 0.45x + 20
How to solve an equation?An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.
Let y represent the total cost of renting a car from a company and travelling x miles.
The rental car company charges $0.45 per mile and a flat fee of $20.00 for renting the car, hence:
y = 0.45x + 20
The equation is y = 0.45x + 20
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Use Pattern blocks to represent each multiplication equation. recall that a hexagon represents 1 whole.
Pattern blocks are shapes that are used to illustrate math equations. They can be used to represent addition, subtraction, multiplication and division. If five hexagons are stacked on top of each other, then the equation can be read as 5 x 1.
What are pattern blocks?Pattern blocks are a great visual tool for teaching younger children basic multiplication. They can help children understand the concept of multiplication better, as well as help them to remember the equation. Pattern blocks are also a great way to show the relationship between addition and multiplication, since both equations can be represented using the same shapes. By using pattern blocks to illustrate multiplication equations, children can have a more concrete understanding of the concept.
For multiplication, there are two different ways to use pattern blocks. The first way is to use the number of sides on a pattern block to represent the multiplication equation. For example, if two hexagons are used to represent 2 x 2, then the equation can be read as two times two. The second way is to simply stack the pattern blocks in order to represent the equation. For example, if five hexagons are stacked on top of each other, then the equation can be read as 5 x 1.
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Write an exponential model given the two points (6,140) and (7,260).
The model is y=___?
The model of the exponential function is y = 3.40(1.86)^x
How to determine the model of the exponential functionFrom the question, we have the following parameters that can be used in our computation:
(6, 140) and (7, 260)
The exponential function for the model can be expressed as:
y = ab^x
Where
b = 260/140
b = 1.86
So, we have
y = a(1.86)^x
Substitute the known values in the above equation, so, we have the following representation
140 = a(1.86)^6
This gives
a = 140/(1.86)^6
Evaluate
a = 3.40
This means that
y = 3.40(1.86)^x
Hence, the function is y = 3.40(1.86)^x
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*4 EASY GEOMETRY TRIG QUESTIONS FOR 50 POINTS*
I need help :'(
Someone give me the answer please i have been stuck on these for forever!
Very appreciated <3
Area = 2,800 square meters
2,800
Square meters Find the unknown measure of the rectangle
When given the area of a rectangle, and one of the sides, the unknown measure of the rectangle would be 40 meters
How to find the area of a rectangle ?To find the area of a rectangle, you can use the formula:
A = l x w
where A is the area of the rectangle, l is the length of the rectangle, and w is the width of the rectangle.
Seeing as you were given the area to be 2, 800 square meters and one of the sides measures 70 meters, the unknown measure of the rectangle would be:
70x Unknown = 2, 800
Unknown = 2, 800 / 70
Unknown measure = 40 meters
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Full question is:
Area = 2,800 square meters
Side A = 70 meters
Find the unknown measure of the rectangle
Graph the following functions and determine where F(x) = G(x). State the x values only. Select all that apply.
f(x)= -x^2+8x-13 and g(x)= x+3
a. 4
b. no solution
c. all real numbers
d. -13
For the specified functions, there is no answer. By graphing the functions, the answer has been discovered.
What does graphing a function mean?The method of graphing a function begins with creating the graph of a pertinent function. The function equation will be satisfied at a point on a curve if it reflects the function at that location.
According to the given information:We are given two functions as f(x) = -x² + 8x - 13 and g(x) = x + 3
The graph of the given functions has been plotted and attached below.
In the graph, the red function represents the f(x) function and the blue line represents the g(x) function.
From the graph, we can see that the two does not meet.
Hence, there is no solution for the given functions.
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The mean amount of money spent on lunch per week for a sample of 273
students is $22
. If the margin of error for the population mean with a 98%
confidence interval is 2
, construct a 98%
confidence interval for the mean amount of money spent on lunch per week for all students.
The true mean amount of money spent on lunch per week for all students falls within the range of $20.12 to $23.88.
Define the term "margin of error"?Margin of error is a statistical term that refers to the amount of random sampling error that is present in a survey or statistical estimate. In other words, it is the amount of uncertainty or variation that is inherent in any statistical measurement or survey result.
To construct a 98% confidence interval for the mean amount of money spent on lunch per week for all students, we need to use the formula:
Confidence interval = sample mean ± (z-score)(standard error)
Here, the sample mean is $22, the margin of error is 2, and the sample size is 273. To find the z-score for a 98% confidence interval, we can use a standard normal distribution table or calculator. The z-score for a 98% confidence interval is approximately 2.33.
To calculate the standard error, we need to use the formula:
[tex]Standard Error = \frac{standard Deviation}{\sqrt{sample Size} }[/tex]
Since the standard deviation is not given, we can estimate it using the sample standard deviation. Let's assume that the sample standard deviation is $8. The Standard Error calculated as:
[tex]Standard Error = \frac{8}{\sqrt{273} }[/tex] ≈ 0.48
Substituting the values into the formula for the confidence interval, we get:
Confidence interval = $22 ± 2.33(0.48) ≈ $20.12 to $23.88
Therefore, we can be 98% confident that the true mean amount of money spent on lunch per week for all students falls within the range of $20.12 to $23.88.
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HI can someone please help me with these 2 questions!!
Option A is the correct answer as EF/QR = CE/SQ is not correct, as the triangles contain no vertex C.
What is properties of similar triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Although having the same form, each might have different sizes.
There are no matching angles that are not equal.
Similar equivalent side ratios exist.
Given that, EFG and QRS are similar.
We know that for similar triangles the ratio of length of the segments of the corresponding triangle are equal.
Thus, EF/QR = CE/SQ is not correct, as the triangles contain no vertex C.
Hence, option A is the correct answer.
Learn more about similar triangles here:
https://brainly.com/question/25882965
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