Answer:
2
Step-by-step explanation:
Triangle side theorem states the sum of the lengths of any two sides of a triangle must be greater than the remaining side
3 + 2 = 5 third side would have to be LESS than 5
so the only answer is 2 cm
grafica
[tex]5y-15=-4x[/tex]
El grafico de la ecuación lineal se puede ver en la imagen al final.
¿Como graficar la ecuación lineal?En este caso queremos graficar la ecuación lineal:
5y - 15 = -4x
Para ello debemos encontrar dos puntos en la linea, y para hacer eso podemos evaluar en dos valores de x.
Sí x = 0 obtenemos:
5y - 15 = -4*0
5y = 15
y = 15/5 = 3
Sí x= 5 obtenemos:
5y - 15 = -4*5
5y = -20 + 15
5y = -5
y = -5/-5 = -1
Entonces solo tenemos los dos puntos (0, 3) y (5, 1), ahora debemos graficar estos en un eje de coordenadas y trazar una linea que pase por ambos, como en el ejemplo de abajo.
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question 11(multiple choice worth 5 points) (01.06 mc) the length of a blue whale is approximately 3 × 104 millimeters; the length of an otter is 2 × 103 millimeters. how many times longer is the blue whale than the otter? 1.5 2 10 15
Blue whale is 15 times longer than otter.
To find how many times the blue whale is longer than the otter, we will perform division. We will divide the length of blue whale by length of otter, which we will give us the desired result.
Now, performing calculation as per the above statements -
Number of times longer length = [tex]\frac{3*10^{4} }{2*10^{3} }[/tex]
Performing division of numbers. Also, as we know, on division the exponents are subtracted. Hence, subtracting the exponents to get the desired result.
Number of times longer length = 1.5*[tex]10^{4-3}[/tex]
The result will be -
Number of times longer length = 1.5*10
Performing multiplication -
Number of times longer length = 15
Hence, we get that blue whale is 15 times longer than otter.
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Which expressions describe the end behaviors of the function f(x)=2^x+3. modeled by the graph attached to this. Choose all that are correct.
As x increases without bound, f(x) approaches zero.
As x decreases without bound, f(x) approaches zero.
As x decreases without bound, f(x) approaches the line y = 3.
As x increases without bound, f(x) increases without bound.
The graph of function f(x) = [tex]2^{x}[/tex] + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3 therefore option (C) and (D) will be correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand behavior of the graph.
Given the function,
f(x) = [tex]2^{x}[/tex] + 3
At x = 0 → f(0) = 2⁰ + 3 = 3
This is an exponential function as shown below which will be increasing as x increase while it will gain the value y = 3 as x decrease.
Hence "The graph of function f(x) = [tex]2^{x}[/tex] + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3".
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Please help as fast as you can!!!!
-2 1/3 - 1 3/4=
Write the answer as a fraction please!!
Answer:-41/4 try that
. How many minutes will she need to finish labeling all books if she takes no breaks and labels 10 books per minute?
Answer:
(a) 75 minutes
(b) 50 minutes
14.2 in scientific notation
Answer: 1.42 x 10^1
Step-by-step explanation:
Answer: 1.42x10
Step-by-step explanation:
the equation is -5 = -8+v/3 help
Step-by-step explanation:
could it be that the equation is rather
-5 = (-8 + v)/3
?
that is a huge difference ...
to solve such an equation we keep transforming it (every change we make we have to do on both sides of the equation to keep the equality), until we have only the variable on one side, and everything else (which is then the solution) on the other side.
1st step : we get rid of the "/3" by multiplying both sides by 3.
that gives us
-5×3 = ((-8 + v)/3)×3 via the multiplication property.
2nd step : we simplify
-15 = -8 + v
3rd step : we get rid of the -8 on the side of the variable by adding 8 to both sides.
that gives us
-15 + 8 = -8 + 8 + v via the addition property.
4th step : we combine like terms (or simplify, if we can use it a second time) :
-7 = 0 + v
-7 = v
that's it.
Please help and disregard the work I’ve done because I feel it’s wrong
GIVEN THE FOLLOWING:
Mario's car rate consumption. R = 24.5mile/gallon
Distance covered each day, D = 32.3 miles
Cost of gas $2.89/gallon
REQUIRED: (a) To calculate how much he spends on gas each week.
We proceed as follow:
Mario uses 1 gallon of gas for every 24.5 miles.
For 32.3 miles, he will use [tex]\frac{32.3}{24.5} ~gallons~ of gas=\frac{325}{245} ~gallons[/tex]
Now, a gallon of gas costs $2.89
[tex]\frac{325}{245}~gallons~will~cost =?[/tex]
[tex]\frac{325}{245} ~*2.89=3.81[/tex]
$3.81 is how much he spends each workday.
There are 5 working days in a week.
Therefore, for a week, he spends:
[tex]3.81~*~5~=19.05[/tex]
therefore, for each work week, he spends $19.05 on gas.
(B) To calculate how many miles he can drive with $15.00 worth of gas
We proceed thus:
A gallon of gas costs $2.89.
$15.00 will amount to:
$15.00/$2.89 = 5.19 gallons
Recall that Mario uses 1 gallon of gas for every 24.5 miles.
Therefore, 5.19 gallons will be used for:
[tex]5.19~*24.5=127.155 ~miles[/tex]
≈ 127 miles
Therefore, with gas worth $15.00, Mario will cover a distance of 127 miles
Answered by:AshTheNeko
Convert the mixed number to an improper fraction 3 1/3
Answer: 10/3
Step-by-step explanation:
multiply the denominator, "3", by the mixed number "3", then add the numerator "1". So 3*3+1=10/3 (the denominator stays the same)
Answer: [tex]\frac{10}3}[/tex]
Please someone answer this question points.
What is the area of parallelogram ABCD with vertices A (2, 3), B (7, 3), C (8, -5), and D (3, -5)?
The area of the parallelogram ABCD with the vertices is 40 square units
What is the area of parallelogram ABCD with vertices?The vertices are given as
(2, 3), B (7, 3), C (8, -5), and D (3, -5)
From the graph, we have the following dimensions
Base = 5 units i.e. distance AB
Height = 8 units i.e. the distance between the parallel sides
The area of the parallelogram is then calculated as
Area = Base * Height
So, we have
Area = 5 * 8
Evaluate
Area = 40
Hence, the area of the parallelogram ABCD with the vertices is 40 square units
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Solve seven and three eighths times negative one and two thirds.
295 over 24
one and three fourths
negative seven and one fourth
negative 295 over 24
The evaluation of the expression gives -295/24. The correct option is the fourth option- negative 295 over 24 (-295/24)
Evaluating an ExpressionFrom the question, we are to evaluate the given expression
The given expression is,
7 3/8 × -1 2/3
To solve the expression, we will covert the fractions from mixed to improper fractions
7 3/8 × -1 2/3
59/8 × - 5/3
Multiplying, we get
-295/24
Hence, the evaluation of the expression gives -295/24. The correct option is the fourth option- negative 295 over 24 (-295/24)
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Which equation can be used to solve for x in the following diagram?
Choose 1 answer:
A) 10x = 150
B) 10x + 90 = 180
C) 150 - 10x = 90
D) 10x + 150 = 180
PLEASE HELPP
Answer:
B
it is the right equation
PLEASE HELP I WILL GIVE OUT BRAINLIST ONLY FOR THE RIGHT ANSWERS
The measure of angle 2 and angle3 are 133 ad 47 degrees respectively
Vertical angles and angle on a straight lineFrom the given diagram, the measure of angle 1 and 2 are congruent. (vertical angles)
Given he following parameters
m<1 = 133 degrees
Since m<1 = m<2, hence m<2 = 133 degrees
Also;
m<2 + m<3 = 180
133 + m<3 = 180
m<3 = 180 - 133
m<3 = 47 degrees
Hence the measure of angle 2 and angle3 are 133 ad 47 degrees respectively
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pls help it's due for a grade
Question 1
A computer is set to shut down if the temperature exceeds 40°C. Give an equivalent statement using degrees Fahrenheit
Question 2
A certain brand of makeup is guaranteed not to run if the temperature is less than 35°C. Give an equivalent statement using degrees Fahrenheit
Answer:
1. 104F
2. 95F
Step-by-step explanation:
Formula for Celsius to Fahrenheit is
[tex](C*1.8) + 32 = F[/tex]
Question one:
40 times 1.8 = 72
72+32 = 104 Fahrenheit
Question two:
35 times 1.8 = 63
63+32 = 95 Fahrenheit
a large dump truck can move 1,500 tons/h of gravel from one point to another on a work site. what is this rate in lb/s? note that
This rate in lb/s is 833.33 lb/s if a large dump truck can move 1,500 tons/h of gravel from one point to another on a work site.
What do you mean by ton/h and lb/s?The term "ton-hour" refers to a cooling service that provides 12,000 BTU of cooling, measured as a function of the amount of chilled water that flows through the Energy Transfer Station, the temperature difference between the chilled water at the Delivery Point, and the Return Point and the total BTU gain that occurs.
The imperial and US customary systems of measurement both utilize the unit of mass known as the pound (symbol: lb). The precise weight of the international avoirdupois pound, or today's standard pound, is 0.45359237 kilos. 16 avoirdupois ounces make up an avoirdupois pound.
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karen earn $10 per hour. she wants to go to a concert on saturday and the price of the ticket is $75, but her friend sold her a ticket for $50. if karen had to take 4 hours off of work to attend the concert, what was her total cost for going to the concert?
The total cost for going to the concert = $90.
What is opportunity cost?The loss of value or benefit that'd result from engaging in a particular activity option in comparison to engaging in such an alternative activity which offers a higher come back on value or benefit is referred to as opportunity cost. The value of the best alternative picked during the decision-making process is provided.
What makes the opportunity cost significant?We can select the best option out of all the options available with the aid of the idea of opportunity cost. It helps us use all of our resources as skillfully and productively as possible in order to maximize our financial gains.
According to the given data:For her part-time job, Karen receives a $10 hourly wage. The cost of the concert ticket after the discount is $50, so she decided to go.
It will cost money to take four hours off work. $10 x 4
=$40
Opportunity costs of going to the concert = $50 + $40
= $90
It is evident that the opportunity cost will be $90.
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I understand that the question you are looking for is:
Karen earn $10 per hour. she wants to go to a concert on Saturday and the price of the ticket is $75, but her friend sold her a ticket for $50. if Karen had to take 4 hours off of work to attend the concert ,What was her opportunity cost of attending the concert?
a.$40
b.$50
c.$75
d.$90
2x - 3y = 16
5x - 3y = 13
solve the systems of equations
The solution to the system of equation is (-1, -6)
System of equationGiven the system of equations
2x - 3y = 16
5x - 3y = 13
Subtract to have:
2x-5x = 16 - 13
-3x = 3
x = -3/3
x = -1
Substitute x = -1 into 1 to have:
2(-1) - 3y = 16
-2 - 3y = 16
-3y = 16 + 2
-3y = 18
y = -6
Hence the solution to the system of equation is (-1, -6)
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A jeweler has 5 rings, each weighing 12 g, made of an alloy of 5% silver and 95% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 75%. How much silver should she add?.
The amount of silver that should be added is 48% . A jeweler is said to have 5 rings that weigh 12 g apiece and are composed of an alloy of 20% silver and 80% gold.
What are linear equations?
An equation between two variables that, when plotted on a graph, produces a straight line.
The material will weigh 12 × 5 = 60 grams after melting all 5 rings.
The alloy's 20% silver and 80% gold content have been disclosed to us. Let's further say that the melted material receives an additional x grams of silver, resulting in a composition of 64% gold and 36% silver.
Thus, we can construct the following equation:
Amount of gold before = Amount of gold after mixing
So the equation we get
80% of 60 grams =64% of (X + 60) gram
0.80 × 60 = 0.64 (x + 60)
48 = 0.64x + 38.4
0.64x = 9.6
x = 9.6/0.64
x = 15
So
Amount of silver that needed to be added
= 0.64(15 + 60)
= 0.64(75)
= 48%
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the top of the john hancock building is a rectangle whose length is 60 ft more than the width. the perimeter is 520 feet. find the width and the length of the rectangle.
The length and width of rectangle is 160 feet and 100 feet.
The perimeter of the rectangle is calculated by the formula -
Perimeter = 2 × (length + width)
As per the given information, length = (60 + width)
Keep the values in formula to find the breadth of rectangle.
520 = 2 × (60 + width + width)
520 = 2 × (60 + 2 × width)
(60 + 2 × width) = [tex]\frac{520}{2}[/tex]
(60 + 2 × width) = 260
2 × width = 260 - 60
2 × width = 200
Width = [tex]\frac{200}{2}[/tex]
Width = 100 feet
Keep the value in formula to find the length of perimeter
520 = 2 × (length + width)
Length + 100 = [tex]\frac{520}{2}[/tex]
Length = 260 - 100
Length = 160 feet
Hence, the length and width of rectangle is 160 feet and 100 feet.
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let be the largest integer whose square has exactly digits when written in base . what is , expressed in base ?
The largest integer whose square has exactly digits when written in base is 28 in base 9 .
An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z .
Largest base 9 three digit number = 888
And it can be represented as 728 in base 10, largest square is 26^2 26 that is 28 in base 9.
Therefore the largest integer whose square has exactly digits when written in base is 28 in base 9 .
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20867
how many numbers are in the first $20$ rows of pascal's triangle (from the $0$th row to the $19$th row)?
Numbers in the first 20 rows of pascal's triangle are 210
Pascal's triangle is a triangular array of the binomial coefficients that arises in probability theory, combinatorics, and algebra.
We have been given that:
Numbers of rows = 20
Pascal's triangle formula
1 + 2 + 3 + ….+ 19 + 20 = n (n + 1) / 2
n=20
(20)×(21)/ 2 = 210
Pascal's triangle patterns is its symmetry. Observe that in any row, if we read the consecutive numbers from the left, we will obtain the same as if we read them from the right.
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Alexis and her sister bought school supplies.
Alexis bought 5 spiral notebooks and 6 book
covers for $27. Her sister bought 4 spiral
notebooks and 2 book covers for $16. Find
the cost for each spiral notebook and each
book cover.
The cost of each spiral notebook is $3 and the cost of each book cover is $2
Given that Alexis and her sister bought school supplies. Alexis bought 5 spiral notebooks and 6 book covers for $27. Her sister bought 4 spiral notebooks and 2 book covers for $16 and asked to find out the cost of each spiral notebook and each book cover.
Let's assume spiral notebooks as "x" and book covers as "y".
As a result, two linear equations in two variables will be formed.
⇒5x+6y=$27; Let's assume this equation as A
⇒4x+2y=$16; Let's assume this equation as B
Multiply equation B with 3
⇒12x+6y=$48; Let's assume this equation as C
Equation c- Equation A
⇒$48-$27=7x
⇒7x=$21
⇒x==$3
The cost of the spiral notebook is $3
From equation A
⇒5($3)+6y=$27
⇒$15+6y=$27
⇒6y=$12
⇒y=$2
The cost of the book cover is $2
Therefore,The cost of each spiral notebook is $3 and the cost of each book cover is $2
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What does mx or mx = b mean in math pls explain from like your knowledge
Step-by-step explanation:
In the equation y = mx + b for a straight line, the number m is called the slope of the line. In the equation y = mx + b for a straight line, the. number b is called the y-intercept of the line.
Simplify the difference.
One rectangle has an area of ((7x² - 4x +12) ft². A second rectangle has an area of
(4x² + 2x − 1) ft².
How many more square feet is the first rectangle ?
O 3x² - 2x + 11
O 11x² - 6x + 11
O 3x²- 6x + 13
O-4x²-5x-9
Answer:
The first rectangle is 3x² - 6x + 13 more square feet then the second rectangle
Step-by-step explanation:
A rule for subtracting polynomials
Keep the first term the same Change the subtraction sign to addition Change the sign for every termSteps
Keep the polynomial 7x²- 4x + 12 the same Change the subtraction sign to addition Change the sign for every term 4x² + 2x - 1 becomes -4x² - 2x + 13At the end of the expression is (7x²- 4x + 12) + -4x² - 2x + 1
At this point you combine like terms like you do with adding polynomials so ( 7x² + (-4x²) is 3x², (-4x) + (-2x) is (-6x), and 12 + 1 is 13) so the final answer would be 3x²-6x+13
What is the image of (8, -12) after a dilation by a scale factor of 1/4 centered at the origin?
Answer: (2, -3)
Step-by-step explanation:
To get these points, you just need to multiply the coordinates by 1/4, or divide by 4
find all values of x in the interval [0, 2????] that satisfy the inequality. (enter your answer using interval notation.)
A component of the interval is x (π/4, 5π/4) when 5 sin(x) > 5 cos(x).
What does a math inequality mean?A relation in mathematics that compares two numbers or even other mathematical expressions in an unequal way is known as an inequality. When comparing two numbers on a number line, it is most frequently used to compare their sizes.
According to the given information:5 sin(x) > 5 cos(x)
To removing constant we divide both the side by 5:
5sin(x) > 5 cos(x)
sin(x) > cos(x)
sin x > cos x;
sin x = cos x; tan x = 1; x = π/4 or x = 5π/4
sin x > cos x for x ∈ (π/4, 5π/4)
A component of the interval is x (π/4, 5π/4) when 5 sin(x) > 5 cos(x).
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I understand that the question you are looking for is:
Find all values of x in the interval [0, 2] that satisfy the inequality. (Enter your answer using interval notation.) 5 sin(x) > 5 cos(x)
hint: since there are 100 terms in the sum, it isn’t a good idea to write them all out and add. use the formula for the sum of terms of a geometric sequence. leave the answer with exponents rather than using a calculator to try to get a decimal approximation of the answer.
Final answer obtained is 2/3
What is a geometric sequence?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio. For instance, the geometric progression 2, 6, 18, 54, etc. has a common ratio of 3. Similar to that, the geometric series 10, 5, 2.5, 1.25,... has a common ratio of 1/2.
Powers [tex]r^{k}[/tex] of a given non-zero number r, like [tex]2^{k}[/tex] and [tex]3^{k}[/tex], are examples of a geometric sequence. A geometric sequence's basic structure is
[tex]ar,ar^{2},ar^{3}.ar^{4},-----[/tex]
where a is not equal to 0 is a scale factor that is equal to the initial value of the series and r is not equal to 0 is the common ratio.
A series is a sum, whereas a progression is a sequence. This is the difference between the two.
∑[tex]_{i=0}^{n}[/tex] [tex]ar^{i}=\frac{a(1+r^{n+1})}{1-r}[/tex]
We see that n= 99, r= -1/2, a=1
∑[tex]_{i=0}^{99}[/tex] [tex](\frac{-1}{2}) i=[/tex] [tex]\frac{1-(\frac{-1}{2})^{99+1} }{1-\frac{1}{2} }=\frac{1-(\frac{-1}{2})^{100} }{1+\frac{1}{2} }=\frac{1-\frac{1}{2}^{100} }{\frac{3}{2} }[/tex]
[tex]=\frac{\frac{2^{100}}{2^{100}} -\frac{1}{2^{100}} }{\frac{3}{2} } =\frac{2*(2^{100}-1)}{3*2^{100}}[/tex]
[tex]\frac{2*(2^{100}-1)}{3*2^{100}}[/tex]
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What is an equation of the line that passes through the point (-4,5) and is perpendicular to the line 4x+y=7?
Answer:
y = [tex]\frac{1}{4}[/tex] x + 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
4x + y = 7 ( subtract 4x from both sides )
y = - 4x + 7 ← in slope- intercept form
with slope m = - 4
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-4}[/tex] = [tex]\frac{1}{4}[/tex] , then
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation of the perpendicular line
to find c substitute )- 4, 5 ) into the partial equation
5 = - 1 + c ⇒ c = 5 + 1 = 6
y = [tex]\frac{1}{4}[/tex] x + 6 ← equation of perpendicular line