Answer:
h=8
Step-by-step explanation:
there is a formula for a volume of a prism
Volume = length • width • height
for shortening purposes
V = L • W • H
we know the prism's length is 4, and it's width is 2 and we know it's volume is 64 but the height is missing
what we will do is say (since height is missing)
[tex]h = \frac{V}{l \: • \: w} [/tex]
v = 64
l = 4
w = 2
so, now plug in those values for your variables
[tex]h = \frac{64}{4 \: • \: 2} [/tex]
multiply 4 • 2
[tex]h = \frac{64}{8} [/tex]
divide by 8
[tex]h = \frac{8}{1} [/tex]
simplify
[tex]h = 8[/tex]
Check:V = l•w•h
v= 4 • 2 • 8
v = 8• 8
v = 64
hope this helped happy learning
In this experiment, a negative value for the heat capacity should be set to zero. Why is this? what would a negative heat capacity mean?.
1. In a situation when a heat capacity is negative, it should instead be set to zero since it is not possible for an object to not be able to have internal energy.
2. A negative value mean that an object is continuously releasing or creating energy which violates the Law of Conservation of Energy.
What is an experiment?An experiment is a technique that is carried out to support or deny a hypothesis, or to test the efficacy or likelihood of something that has never been tried before. Experiments shed light on cause-and-effect relationships by revealing what happens when a certain element is changed.
When a system loses energy, such as through radiating energy into space, the average kinetic energy increases. If temperature is defined by average kinetic energy, the system is said to have a negative heat capacity.
Heat transfer into a system is positive, whereas heat transfer out of a system is negative. It means that any heat transfer that raises a system's energy is positive, whereas any heat transfer that decreases a system's energy is negative.
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A rental car company charges $40 per day to rent a car and $0.08 for every mile driven. Justin wants to rent a car, knowing that:
He plans to drive 125 miles.
He has at most $170 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Justin can afford to rent while staying within his budget.
The inequality we want to find is:
$40 + $0.08*x ≤ $170
Where x is the number of miles Justin can drive, and the solution is:
x ≤ 1,625
How to write the inequality?We know that there is a fixed cost of $40 plus $0.08 for every mile driven. So if you rent the car and drive for x miles, the total cost is:
C(x) = $40 + $0.08*x
We know that Justin has at most $170 to spend, so we can write the inequality:
$40 + $0.08*x ≤ $170
Solving this for x, we get:
$0.08*x ≤ $170 - $40
$0.08*x ≤ $130
x ≤ $170 /$0.08
x ≤ 1,625
So Justin can drive at most 1625 miles with the money he has.
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Answer:
Inequality: 40x+10≤170
Answer: x 4x≤4
Step-by-step explanation:
trust me
The Trihn triplets were working on their homework together. After a while, Toby, Tyler, and Tim got hungry and decided to share a bag of popcorn.Each boy ate 1 3/4 cups of popcorn. How many cups of popcorn did the boys eat in all?
The cups of popcorn that the boys eat in all is 5 1/4 cups.
How to illustrate the information?From the information, Toby, Tyler, and Tim got hungry and decided to share a bag of popcorn and each boy ate 1 3/4 cups of popcorn.
It should be noted that the total popcorn and hat was eaten will be:
= Fraction eaten by each person × Number of people
= 1 3/4 × 3
= 7/4 × 3
= 21/4
= 5 1/4
This illustrates the concept of multiplication of fractions.
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Which graph represents the solution set for p − 3.6 < −5.8?
number line with open circle on point negative 9.4 and arrow shaded to the left
number line with open circle on point negative 9.4 and arrow shaded to the right
number line with open circle on point negative 2.2 and arrow shaded to the left
number line with open circle on point negative 2.2 and arrow shaded to the right
The correct description of the graph of the inequality is:
"number line with open circle on point negative 2.2 and arrow shaded to the left"
Which graph represents the solution set of the inequality?Here we have the inequality:
p - 3.6 < -5.8
First, we need to solve this, to do so we need to isolate the variable p in one of the sides of the inequality, we will get:
p < - 5.8 + 3.6
p < -2.2
So p is strictly smaller than -2.2, then we will have an open circle at the number -2.2 and a line or arrow that extends to the left.
So the correct option is:
"number line with open circle on point negative 2.2 and arrow shaded to the left"
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The table shows the proportional relationship between a hedgehog's weight loss and the number of days of hibernation. How much weight does the hedgehog lose during 115 days of hibernation? Use pencil and paper. Explain how you know that the relationship between the hedgehog's weight loss and the number of days of hibernation is proportional.
Using proportions, we find that the hedgehog loses 3.45 ounces after 115 days of hibernation.
Here, we are given a table shows the proportional relationship between a hedgehog's weight loss and the number of days of hibernation
A proportional relationship is mathematically represented as-
y = kx
where k is the constant of proportionality.
Here x = days in hibernation and y = loss in weight
From the table we see that when x = 8, y = 0.24
⇒ 0.24 = 8k
8k = 0.24
k = 0.24/ 8
k = 24/ 800
k = 3/100
k = 0.03
Now, when x = 115, y will be-
y = 0.03*115
y = 3.45
Thus, using proportions, we have found that the hedgehog loses 3.45 ounces after 115 days of hibernation.
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The table shows the proportional relationship between a hedgehog's weight loss and the number of days of hibernation. How much weight does the hedgehog lose during 115 days of hibernation? Use pencil and paper. Explain how you know that the relationship between the hedgehog's weight loss and the number of days of hibernation is proportional.
Weight Loss of Hedgehog
Days of Hibernation 8 28 75 93
Loss in Weight (oz) 0.24 0.84 2.25 2.79
write a function to describe the following scenario. Billy wants to order business cards. there is a $20 minimum charge regardless of how many cards are purchased. on top of that, there is a charge of $0.06 per card
The function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Let x be the number of cards:
The total cost for the card is f(x)
Then f(x) can be framed as:
f(x) = 20 + 0.06x
Or
f(x) = 0.06x + 20
Thus, the function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.
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8) A local food stand is selling different types of fruit. After taking inventory, it is determined that they have
24% more apples available than pears. If the food stand has 125 pears available, how many apples do
they have available then?
Answer:
155
Step-by-step explanation:
125 (1+24%) = 155
Determine whether the equation $y=x\cdot x\cdot x$ represents a linear or nonlinear function.
The equation [tex]y =\frac{x}{c} *\frac{x}{c} *x[/tex] represents a non- linear function.
How is the function of the equation determined?
[tex]y =\frac{x}{c} *\frac{x}{c} *x\\\\y = \frac{x^{3}}{c^{2} }[/tex]
This equation does not make a straight line in a graph. So, the equation represents a non-linear function.(Refer figure for graph)
What is a non-linear function?
On a graph, information may only be represented in one of two ways, using linear or non-linear functions. A non-linear function does not have a straight line shape. There is some curvature in a nonlinear equation. When plotted on a graph, a linear function produces a straight line. The simplest way to identify if a function is linear or non-linear is probably by graphing it, but we can also discover if a function is linear by looking at its input/output table or equation.To learn more about non-linear functions, refer:
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Consider the first 2 terms of the sequence 28, 14,....
Suppose the sequence 28, 14,... is arithmetic
Determine the common difference
The common difference of the arithmetic sequence is found as -10.
What is defined by the term arithmetic sequence?The arithmetic sequence is indeed the sequence in which the common differences between any 2 successive terms remains constant. Let us review what a sequence is.We have two formulas for arithmetic sequences.The formula for determining the nth term in an arithmetic sequence.The formula for calculating the sum of an arithmetic sequence's first n termsFor the given question;
The arithmetic sequence is given as;
28, 14,....
Where 28 is the first term; a₁ = 24.
14 is the second term; a₂ = 14.
Then the common difference 'd' is calculated as;
d = a₂ - a₁
put the values.
d = 14 - 24
d = - 10
Thus, the common difference of the arithmetic sequence is found as -10.
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At the beginning of spring, Allison planted a small sunflower in her backyard. When it was first planted, the sunflower was 15 inches tall. The sunflower then began to grow at a rate of 2 inches per week. How tall would the sunflower be after 9 weeks?
How tall would the sunflower be after w weeks?
Height after 9 weeks?
During plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.
As given in the question,
During plantation sunflower was 15 inches tall
Rate of growth per week = 2 inches
Let x be the number of weeks and y be the height of the plant.
Required height :
y = 15 + 2x
Change in the height of sunflower after 9 weeks
y =15 +2x
= 15 + 2(9)
= 15 +18
= 33 inches
Therefore, during plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.
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Which best describes the range of the function f(x) = -(6)* after it has been refle
all real numbers
all real numbers less than 0
O all real numbers greater than 0
O all real numbers less than or equal to 0
ANSWER:all real numbers less than or equal to 0.
Explanation:
When you reflect a function across the x-axis, you negate every y-coordinate in the function.
In our original function, our y-values will all be positive. Reflecting this across the x-axis will make all of the y-values negative; this means the range, or set of y-values, will be less than or equal to 0.
What is the absolute value of (4,-4) and (-3,-4)
Answer:
Absolute value means taking the positive value, ie drop the negative sign.
Absolute value brackets are: | value |
|(4,-4)| = (4,4)
|(-3,-4)| = (3,4)
Hope that helps
Write the equation of the line that passes through the points (6,0) and (8,7). Put your answer in fully simplified point-slope form, unless it is vertical or horizontal line.
ANSWER: y - 0 = 7/2(x - 6)
STEP-BY-STEP EXPLANATION:
The formula for point-slope form is y - y1 = m(x - x1).
From the two points given, y1 is 0 while x1 is 6.
m in the formula is the slope, so it needs to be found:
(y2 - y1)/(x2 - x1)
(7 - 0)/(8 - 6)
7/2
Answer:
Remember, when you are calculating the slope from two given points, you are finding the change in y over the change in x.
P1 = ( x1, y1 )
P2 = ( x2, y2 )
m = Δy / Δx ---> m = (y2 - y1) / (x2 - x1)
Now let's assign the given points:
(-8, -6) --> x1 = - 8 & y1 = -6
(-4, 2) --> x2 = -4 & y2 = 2
Now, let's plug these values into the slope formula:
m = (y2 - y1) / (x2 - x1)
= (2 - (-6)) / ((-4) - (-8))
Let's simplify:
(2 - (-6)) / ((-4) - (-8))
= (8) / (4)
= 2
Therefore, the slope, or m, is 2.
Now that we have found the slope, let's write out the final equation in point-slope form.
What is required for the equation is a slope, and any pair of points on the line. Since we were given two to choose from, I will use (-4, 2) in this case.
Remember, the point-slope formula is: y - y1 = m (x - x1)
In terms of this formula:
m = 2
y1 = 2
x1 = -4
Let's plug in these values into the point slope formula and simplify:
y - y1 = m (x - x1)
y - (2) = (2)(x - (-4))
y - 2 = 2(x + 4)
y - 2 = 2x + 8
y = 2x + 10
Therefore, our final answer is: y = 2x + 1
Step-by-step explanation:
i gat that from https://www.wyzant.com/resources/answers
What part of speech is the italicized word?
The campers were drenched by the 'rainstorm.'
The part of speech of word 'rainstorm' is a noun in the sentence 'the campers were drenched by the rainstorm'.
There are eight parts of speech. They are noun, pronoun, adjective, verb, adverb, preposition, conjunction, and interjection. Further, these parts of speech are subdivided into different types.
A noun is the name of a person (for example, Ram, Neetu, John, etc.), place (for example, Delhi, Lucknow, Jaipur, America, etc.) or a thing (for example, table, desk, pen, rainstorm, etc.).
There are five types of noun: proper noun, common noun, abstract noun, material noun and collective noun.
Hence, the italicized word in the given sentence is a noun.
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WILL GIVE A FOLLOW AND BRAINLIEST
Answer: Neither Im prrtty sure but someone double check me
divide p3-13p+12 by p+4
Divide [tex]\frac{p^{3} - 13p +12 }{p +4}[/tex] by p+4 is [tex]p^{2} -4p +3\\[/tex]
What is division ?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping. An equation that establishes a connection between all four components of the division is known as the division algorithm. The dividend value is always equal to the product of the divisor and the quotient added to the remainder in any division fact. Dividend = (Divisor Quotient) + Remainder is the general formula for division. The algorithm for division is used in this.
=[tex]\frac{p^{3} - 13p +12 }{p +4}[/tex]
= [tex]p^{2} -4p +3\\[/tex]
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Write the equation of a line that goes through the points (5, 9) and (0, 4).
Answer:
y= x +4
Step-by-step explanation:
The equation of a line can be written in the slope-intercept form, y= mx +c, where m is the slope and c is the y-intercept.
Overview of steps:
Find slopeFind y-interceptThe slope can be found using the gradient formula below:
[tex]\boxed{\text{Gradient} = \frac{y_1 - y_2}{x_1 - x_2} }[/tex]
Given: (5, 9) and (0, 4)
Start by finding the slope, m:
m
[tex] = \frac{9 - 4}{5 - 0} [/tex]
[tex] = \frac{5}{5} [/tex]
= 1
Substitute m= 1 into y= mx +c:
y= x +c
In this case, the y-intercept is given by the point (0, 4). This is because y-intercepts occur at x= 0. This also means that c takes the value of 4.
Substitute c= 4:
y= x +4
Thus, the equation of the line is y= x +4.
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complete the diagrams to represent each fractions. ( a) , ( c ) and (d).
1) The fraction is given as,
[tex]\frac{1}{4}[/tex]c) The fraction is given as,
[tex]1\frac{3}{2}[/tex]d) The fraction is given as,
[tex]2\frac{1}{2}[/tex]Michael has $1.65 worth of nickels and dimes. He has 6 more nickels than dimes.
Determine the number of nickels and the number of dimes that Michael has.
The number of Nickle is 7 and number of dimes is 13.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Michael has $1.65 worth of nickels and dimes.
He has 6 more nickels than dimes.
Let x be the number of nickels
then, the number of dimes = x + 6
as, we know that nickel is worth 5 cents.
A dime is worth 10 cents.
So, 0.05x + 0.10(x + 6) = 1.65
0.05x + 0.10x + 0.60 = 1.65
0.15x = 1.65- 0.60
0.15x = 1.05
x= 7
Hence, the number of Nickle is 7 and number of dimes is 13.
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Use the equation x-7=12. Create a real-world problem that the equation colud represent
Using the equation x - 7 = 12, we can apply it to find the number of students in Mrs. Jones' class, where the girls are 12 and the boys are 7.
What is an equation?An equation is a mathematical statement that two or more expressions share equality or are equivalent in value.
The equation sign (=) is used when two expressions or values are equal.
x - 7 = 12
Where the number of girls = 12
And the number of boys = 7
x = 12 + 7
x = 19
Thus, we can conclude from the equation x - 7 = 12 that x is the total number of students in Mrs. Jones' class.
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PLEASE HELP ASAPP. WILL GIVE BRAINLIEST AND 5 STAR RATINGG
If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.
What is feet and yard?The length of a foot is 12 inches. A ruler can be used to calculate the length of a foot, which is usually one foot. The length of a piece of paper is about one foot.
3 feet make up one yard. A yardstick, which is equal to 1 yard, is typically used to measure yards. The length of a baseball bat is about one yard.
Using the conversion Rule we will convert feet into inches that is
22 feet = 264 inches
We will also convert yards into inches that is
14 yards = 504 inches
Total wire they need = 264 + 504 inches
= 768 inches
We have given that
100 inches wires costs = $3
1 inch wire costs = 3/100
768 inch wire costs = (3/100) × 768
= $23.04
Thus, If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.
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help me pls i need help pls
The number of batches of cookies that can be made with 4 pounds of flour is 6 batches.
How many batches of cookies can be made?In order to determine the number of batches of cookies that can be made, divide the amount of flour by the fraction that represents the amount of flour needed for a batch of cookies.
Division is the operation that is used in mathematics to determine the quotient of two or more numbers. It entails grouping a number into equal parts using another number.
Number of batches that can be made = amount of flour ÷ amount of flour needed for one batch
4 ÷ 2/3
4 x 3/2 = 6 batches
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I need HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Considering the angle relations when two parallel lines are cut by a transversal, the measures of the angles are given as follows:
18. <4 = 56º.
19. <3 = 132º.
20. <2 = 55º.
21. <8 = 120º.
22. <6 = 129.5º.
23. <2 = 61.3º.
Parallel lines cut by transversalWhen two parallel lines are cut by a transversal, there are multiple relations among the angles, which are going to be used to solve this question.
In item 18, the angles 1 and 4 are consecutive interior angles, hence they are supplementary angles, meaning that the measure of angle 4 is found as follows:
<4 + <1 = 180º
<4 + 124º = 180º
<4 = 56º.
In item 19, angles 2 and 3 are also consecutive interior angles, hence:
<2 + <3 = 180º
48º + <3 = 180º
<3 = 132º.
For item 20, angles 2 and 4 are alternate interior angles, hence they are congruent and their measures are given by:
<2 = <4 = <55º.
For item 21, angles 6 and 8 are alternate exterior angles, also being congruent, hence their measures are given as follows:
<6 = <8 = 120º.
For item 22, angles 7 and 6 are same side exterior angles, meaning that they are supplementary, hence:
<6 + <7 = 180º
<6 + 50.5º = 180º
<6 = 129.5º.
For item 23, the relation is the same as item 19, hence:
<3 + <2 = 180º
<2 = 180 - 118.7
<2 = 61.3º.
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Solve 2x-y=8 for slope and y intercept
Given: The equation of a line below
[tex]2x-y=8[/tex]To Determine: The slope and the y intercept
Solution
The general form of slope-intercept form of a line is given as
[tex]\begin{gathered} y=mx+c \\ Where \\ m=slope \\ c=y-intercept \end{gathered}[/tex]Let us re-write the given equation in slope-intercept form
[tex]\begin{gathered} 2x-y=8 \\ 2x=8+y \\ 8+y=2x \\ y=2x-8 \end{gathered}[/tex]Let us compare the derived given equation to the general form
[tex]\begin{gathered} y=mx+c \\ y=2x-8 \\ m=2 \\ c=-8 \end{gathered}[/tex]The graph is as shown below
Hence, the slope is 2 and the y intercept is -8
A line passes through the point (-2, 5) and has a slope of -4.
Write an equation in slope-intercept form for this line.
The most appropriate choice for equation of line in slope intercept form will be given by-
[tex]y = -4x-3[/tex] is the required equation of line
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
Slope of the line = -4
The line passes through (-2 , 5)
Equation of the required line =
[tex]y - 5 = -4(x - (-2))\\y - 5 =-4x - 8\\y = -4x - 8+5\\y = -4x-3[/tex]
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PLEASE HELP!!!
Identify the domain and range of the function in interval notation. Find the zeros of the function. Then determine for which values of x the function is positive and for which it is negative
Answer:
Domain: (-5, ∞)
Range: [-4, 1]
Step-by-step explanation:
Domain is the set of all permissible values of x for the function. The smallest value of x is at x = -5. However note that there is an unfilled circle at x = -5 where y = -1. This means the point(-5, -1) is excluded in the function
The function flattens out at x = 3 and the arrow on the end of the function plot indicates that the x-value of the function goes up to ∞
The domain in interval form is (-5, ∞).
Be careful with the brackets. The regular parentheses ( and ) indicate that the extremes of the interval -5 and ∞ are not included in the interval. ∞ is never included. Such an interval is called an open interval.
The range is the set of y-values for the domain
Looking at the graph we can see that the lowest y value is -4 at x = -2 and it is a valid value for the function so included in the interval
The highest value of y is 1 and it becomes 1 at x =3 but since the plot after x = 2 is horizontal, that means the y value will be 1 for any value x >= 3
Therefore the range of the function is
[-4, 1]
Here note that we are using square brackets to indicate that -4 and 1 are included in the interval. Such an interval is called a closed interval.
A rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. What is the length of the rectangle in units?
The length of the rectangle whose area is 7 units larger than its perimeter is 13 units.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
Given, Area of a rectangle is 7 units larger than its perimeter.
Assuming the length of the rectangle to be 'l' and the width to be 'w',
and the width is 3 units.
∴ (l×w) = 2(l + w) + 7.
(l×3) = 2(l + 3) + 7.
3l = 2l + 6 + 7.
l = 13 units.
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pls someone help me with this
Answer:
Please see attachment for explanation and answer.
Given: Kite ABDC with diagonals AD and BC intersecting at E.
Prove: AD bisects BC
с
E
B
Determine the missing reasons in the proof.
Statement
ABDC is a kite.
CD
AD
ACDA
ABDA
ZCDA ZBDA
ED ED
ACED ABED
CE BE
D
Reason
given
BD and AC AB definition of a kite
AD
reflexive property of congruence
CPCTC
reflexive property of congruence
CPCTC
Reflexive property of congruence CPCTC .
What is the congruence property?When two objects or figures have the same size and shape, the term "congruence" is used to describe it. Congruence has the transitive property, which states that if two sets of lines, angles, or triangles are congruent with a third pair of lines, angles, or triangles, then the first pair of lines, angles, or triangles are also congruent with the third pair of lines, angles, or triangles. As was previously mentioned, the transitive property creates an equivalence relationship between 3 lines, 3 angles, and 3 triangles. According to the definition of the transitive property of congruence in geometry, if any two angles, lines, or forms are, respectively, congruent with a third angle, line, or shape, then the first two angles, lines, or shapes are likewise congruent with the third angle, line, or shape.
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Answer:
The answer to the first box is SSS criterion, im not sure about the second box, i know it isnt ASA criterion, but i hope this helps!
Step-by-step explanation:
find the greatest common factor gcf for each number set. 96, 120
Answer: 24
Step-by-step explanation:
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 , 120
Highest number between the two sets of factors which is common is 24
