Answer:
5/12 or 0.416667
Step-by-step explanation:
Plug in the values for x and y.
8(1/3) - 3(3/4)
Evaluate.
8/3 - 9/4
32/12 - 27/12
= 5/12
How much metres per second did the cyclist travel from 8 a.m. to 10 a.m? (*TIP: 2 hours = 7200 seconds, 2 km= 2000 m). Give the formula used, show your working and round off your answer to two decimal places. Don't forget the unit!
Answer:
[tex]Speed = 0.28m/s[/tex]
Step-by-step explanation:
Your question seem incomplete; however, I'll assume the given tips as the usable parameters.
Given
Distance = 2km
Time = 2 hours (8am to 10am)
Required
Calculate speed (in metres per seconds)
Speed is calculated as follows:
[tex]Speed = \frac{Distance}{Time}[/tex]
Substitute 2 km for distance and 2 hours for time.
[tex]Speed = \frac{2km}{2hr}[/tex]
Convert km to metres an hr to seconds.
[tex]Speed = \frac{2000m}{7200s}[/tex]
[tex]Speed = 0.277778 m/s[/tex]
[tex]Speed = 0.28m/s[/tex] (Approximated)
Hence, the cyclist travels at 0.28m/s
What is 9 + 10 ? I’m so confused. People keep telling me it’s 21 but it doesn’t seem right.
Answer:
It's 21.
Step-by-step explanation:
The factors of 9 are 3 and 3. (You need to multiply 3x3 to get 9.) The factors of 10 are 5 and 2. But, if you multiply 3 by 5, which gives you 15, and multiply the other 3 by 2, which gives you 6, and then add 6 to 15, you get 21.
PLEASE ALL YOU NEED TO DO IS MATCH NUMBERS *Drag the tiles to the correct boxes to complete the pairs. Match the algebraic addition of each pair of complex numbers to its sum represented graphically.*
Answer:
1) A = (3 + 5·i) + (2 - 3·i)
2) A = (-3 + 5·i) + (-2 - 3·i)
3) A = (-3 + 5·i) + (2 + 3·i)
4) A = (3 - 5·i) + (2 + 3·i)
Step-by-step explanation:
1) For the first chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (3 + 5·i) + (2 - 3·i)
2) For the second chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (-3 + 5·i) + (-2 - 3·i)
3) For the third chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (-3 + 5·i) + (2 + 3·i)
4) For the fourth chart, we have;
To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows
A = (3 - 5·i) + (2 + 3·i)
Calculate the following without the use of a calculator
6-(-4) - 5
Answer:
Calculate 6-(-4)-5
6-(-4)-56+4-510-55so : 6-(-4)-5 = 5
The Answer is 5
if you calculate it you get 5
What is the greatest common factor of (2^5 x 6^7) and ( 2^3 x 6^8)
Answer:8 12 and 20
Step-by-step explanation:I googled it
H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 15 What is the height of the stone at the time it is thrown?
Answer:
15 units
Step-by-step explanation:
Given the equation which models the path of a stone as:
[tex]H(x)=-5x^2+10x+15[/tex]
At the time when the stone was thrown
x=0
Therefore:
[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]
The height of the stone at the time it is thrown is 15 units.
one container is filled with a mixture that is 30% acid a second container is filled with the mixture that is 50% acid the second container is 50% larger than the first and the two containers are emptied into a third container what percent of acid is in the third container
Answer:
42%
Step-by-step explanation:
x is for the volume of the container
the amount filled in the first container=0.30x
the volume of the first container + 50% of the second=(x+x*50%)=1.5 x
the amount of acid in the second container= 1.5x * 50%=0.75x
total amount of acid in the third one =0.3x+0.75x=1.05x
total solution : x+1.5x=2.5x
percentage=1.05x/2.5x= 0.42 or 42%
Solve for x .x + 7 = 15
Answer: x = 8
Step-by-step explanation:
because x + 7 = 15, you can subtract 7 from both sides to get x = 8.
Hope it helps <3
Answer:
8
Step-by-step explanation:
x + 7 = 15
x = 15 - 7
x = 8
Thus, the value of x is 8
this Venn diagram shows was played by 10 students let event A = was the same play basketball like even see it with a student play soccer what is a P(A OR B)
Answer:
B. 3/5 is correct.
Step-by-step explanation:
P(A or B) is the number of students within either set (circle) divided by the total number of students (10).
There are 6 students (3+1+2) in the sets, so
P(A or B) = 6/10 = 3/5
Answer B. 3/5 is correct.
The value of P(A or B) from the Venn diagram is 2/5.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
Event A = Students that play basketball
Event B = Students that play Soccer
Now,
From the Venn diagram,
P(A) = 3/10
P(B) = 2/10
P(A ∩ B ) = 1/10
Now,
P(A or B) = P(A U B ) = P(A) + P(B) - P (A ∩ B)
So,
P(A U B )
= P(A) + P(B) - P (A ∩ B)
= 3/10 + 2/10 - 1/10
= (3 + 2 - 1) / 10
= 4/10
= 2/5
Thus,
The value of P(A or B) is 2/5.
Learn more about the Venn diagram here:
https://brainly.com/question/1605100
#SPJ7
pleaseee help me w dis asap!!!
Answer:
1). g(x) = [tex]5^{3x}[/tex]
2). g(x) = [tex]\frac{1}{3}5^{x}[/tex]
3). g(x) = [tex]3(5)^{x}[/tex]
4). g(x) = [tex]5^{\frac{1}{3}x}[/tex]
Step-by-step explanation:
Parent function f(x) = [tex]a^{x}[/tex] when transformed in the form of [tex]g(x)=h(a^{\frac{x}{k} })[/tex]
1). If h > 1, function is vertically stretched.
2). If 0 < h < 1, function is vertically compressed.
3). If k > 1, function is horizontally compressed.
4). If 0 < k < 1, function is horizontally stretched.
Parent function of the given functions in the question is f(x) = [tex]5^{x}[/tex]
g(x)= [tex]\frac{1}{3}(5^{x})[/tex], parent function is vertically compressed by a factor of [tex]\frac{1}{3}[/tex].
g(x) = [tex]5^{3x}[/tex], parent function 'f' is horizontally stretched by a factor of 3.
g(x) = [tex]5^{\frac{x}{3}}[/tex], parent function 'f' is horizontally compressed by a factor of [tex]\frac{1}{3}[/tex].
g(x) = [tex]3(5^{x})[/tex], parent function 'f' is vertically stretched by a factor of 3.
What are the radius and circumference of a circle with diameter of 12 meters
Answer:
radius =6, circumference=37.7 m
Step-by-step explanation:
radius=12/6, circumference=2*pie*r
2*22/7*6=37.7 m
Answer:
Circumference of a circle = 2πr
where r is the radius
radius = diameter / 2
radius = 12 / 2 = 6 m
radius is 6 meters
Circumference = 2π×6
= 12π
= 37.7 meters
Hope this helps
Fill in the blanks to solve 2{,}000 \times 92,000×92, comma, 000, times, 9. 2{,}000 \times 92,000×92, comma, 000, times, 9 Step 111 {} \times \ 2 \times 9× 2×9times, space, 2, times, 9 Step 222 {}\times \ 18× 18times, space, 18 Step 333
Answer:
[tex]\boxed{}[/tex] =1,000
Step-by-step explanation:
We want to solve: [tex]2{,}000 \times 9[/tex]
Now, 2000=1000 X 2
We were given the following steps:
[tex]S$tep 1: \boxed{1000} \times \ 2 \times 9\\S$tep 2: =\boxed{1000} \times \ 18\\S$tep 3: =18,000[/tex]
Therefore, the blank space is to be filled with 1000.
[tex]2{,}000 \times 9 =18{,}000[/tex]
HELP urgently please please❤️❤️❤️Please
Answer:
Step-by-step explanation:
From the graph we can notice that :
g(2)=5g(-2)=2g(3)=0g(5)=1Again we can deduce from the graph that :
g(x)=0 when x= -3g(x)=6 when x= 0Which best explains why these two figures are similar or not similar?
Hey there! :)
Answer:
These two figures are similar because 5/3 equals 15/9.
Step-by-step explanation:
These figures are similar to each other, which means the side-lengths are proportional. Therefore:
[tex]\frac{5}{9} = \frac{15}{9}[/tex]
Side-lengths 15 and 9 are proportional to 5 and 3 because the two fractions are equivalent; the larger rectangle is just 3 times larger.
Which best describes the relationship between the line that passes through the points (9, –1) and (11, 3) and the line that passes through the points (–6, –4) and (–4, 0)?
A. parallel
B. neither perpendicular nor parallel
C. perpendicular
D. same line
Answer:
The answer is option B
neither perpendicular nor parallel
Hope this helps you
Como le explicarian a un compañero como se puede descomponer un numero escribiendo sumas y potencias de 10? Como se puede averiguar el valor relativo de cada cifra de un numero? Busquen ejemplos que den cuenta a esta explicacion
Answer:
Léase explicación detallada para mayor entendimiento.
Step-by-step explanation:
La metodología a utilizar es la siguiente, un número de base 10 es una combinación de dígitos entre 0 y 9, el dígito a la derecha del observador es el dígito pivote, el orden del dígito aumenta a medida que el observador dirige la mirada hacia su izquierda. Asimismo, el orden del dígito disminuye a medida que el observador dirige la mirada hacia su derecha.
Ejemplo - Ponga en orden descendente el orden de los dígitos de 3605.
Se descubre que el 5 es el dígito pivote (Orden 0), 0 esta un orden por encima del dígito pivote (Orden 1), 6 esta a dos órdenes por encima del dígito pivote (Orden 2) y 3 está tres órdenes por encima del dígito de menor pivote (Orden 3). En consecuencia, la jerarquía de los dígitos en orden descendente es 3 - 6 - 0 - 5.
Ejemplo - Ponga en orden ascendente el orden de los dígitos de 245,471.
Se descubre que el 5 es el dígito pivote (Orden 0), 4 está un orden por encima del dígito pivote (Orden 1) y 2 está dos órdenes por encima del dígito pivote (Orden 2). Asimismo, 4 está un orden por debajo del dígito pivote (Orden -1), 7 está dos órdenes por debajo del dígito pivote (Orden -2) y 1 está tres órdenes por debajo del dígito pivote (Orden -3). En consecuencia, la jerarquía de los dígitos en orden ascendente es 1 - 7 - 4 - 5 - 4 - 2.
Ahora, se puede descomponer un número conforme el número a partir de sumar cada dígito multiplicado por 10 elevado por el orden que le corresponde dentro del número, cuyo procedimiento se explica con un ejemplo:
Ejemplo - Descomponga 1268.153 en sumas y potencias de 10.
El dígito 8 es el dígito pivote, existen tres dígitos cuyo es superior al del dígito pivote y tres dígitos con un orden inferior al dígito pivote, entonces este número real se puede reescribir como sigue en orden descendente:
[tex]1268.153 = 1 \times 10^{3} + 2 \times 10^{2} + 6\times 10^{1} + 8 \times 10^{0} + 1 \times 10^{-1} + 5\times 10^{-2} + 3 \times 10^{-3}[/tex]
A pattern is made from 4 congruent squares the sides of the squares are parallel to the axis
Answer:
Coordinate of C = (22, 20)
The Complete Question related to this found at ELEVISE website is stated below:
A pattern is made from four identical squares. The sides of the squares are parallel to the axes. Point A has the coordinates (6, 7)
Point B has the coordinates (38, 36)
Point C is marked on the diagram.
Work out the coordinates of C.
Step-by-step explanation:
Coordinates (x, y)
Point A has the coordinates (6, 7)
Point B has the coordinates (38, 36)
Find attached the drawing
From the labelled diagram
Change in y = 36-7 = 29
Change in x = 38-6 = 32
Using the horizontal axis:
The length of congruent 4 squares is between 38 and 6 = 32
The length of each congruent 4 squares = 32/4
The length of each congruent 4 squares = 8
Therefore the dimensions of the square is 8 by 8
Coordinate of C (x, y)
For x axis = 38 - length of 2 squares OR 6+ length of 2 squares
38 - length of 2 squares =38 - 2(8)
= 38-16 = 22
For y axis = 36 - length of 2 squares
= 36 - 2(8)
= 36-16 = 20
Coordinate of C = (22, 20)
Please answer this question now in two minutes
Answer:
c. Not enough information
A person is standing \(40\) ft from a light post and can see the top of the light at a \(35^\circ\) angle of elevation. The person’s eye level is \(5\) feet from the ground. What is the height of the lightpost to the nearest foot.
Answer:
The height of the lightpost is 33.008 feet
Step-by-step explanation:
Refer the attached figure
Distance between lamp post and person = AB = 40 feet
Height of person = BC = 5 feet
The angle of elevation = ∠DCE =35°
Height of light post = AD
AB=CE=40 feet
In ΔDCE
[tex]\frac{Perpendicular}{Base}=Tan \theta \\\frac{DE}{CE}=tan 35^{\circ}\\\frac{DE}{40}=tan 35^{\circ}\\DE=40 \times tan 35^{\circ}\\DE=28.008[/tex]
Height of light post = AD=DE+AE=28.008+5=33.008
Hence the height of the lightpost is 33.008 feet
How many roots does a linear equation have?
Answer:
1 root
Step-by-step explanation:
A linear equation should only cross the x-axis at one point. That means there would only be 1 root. (Root is when y= 0)
How do you write 5.4 × 103 as an ordinary number?
Answer:
5400
Step-by-step explanation:
5.4 × 10³
Move the decimal point 3 places to the right.
⇒ 5400
How many values of x make 6x+8= 54 a true statement?
a) one value
b) no values
c) infinite values
Answer:
c
[tex]7.6666666666[/tex]
bcz its
Step-by-step explanation:
[tex]6 = 54 - 8 \\ 6x = 46 \\ x = 46 \div 6 \\ x = 23 \div 3 \\ [/tex]
area of the base pentagonal prism with a volume of 50 cubic centimeters and a height of 7.5 centimeters
Hey there!
To find the volume of any prism, you multiply the base by the height. However, we want to find the base here. So, we do it backwards and take the volume and divide it by the height, and this will give us our base!
50÷7.5=6 2/3
Therefore, the area of the base of a pentagonal prism with a volume of 50 cubic centimeters and a height of 7.5 centimeters is 6 2/3 square centimeters.
Have a wonderful day! :D
Find the slope of the line that goes through (0,2) and (4,-2)
Please help me!!!!!!!!!!!!!!!!!
Answer:
A is the correct option.
Step-by-step explanation:
1/12 = 0.0833333333
Answer:
Option A
Step-by-step explanation:
=> [tex]\frac{1}{12}[/tex] = 0.8333.........
=> [tex]\frac{7}{8}[/tex] = 0.875
=> [tex]\frac{14}{25}[/tex] = 0.56
=> [tex]\frac{17}{20}[/tex] = 0.85
=> [tex]\frac{6}{10}[/tex] = 0.6
So, 1/12 is the repeating decimal whose digits are periodic and repeats infinitely.
A ball always bounces to 3/5 of the height from which it is dropped. The ball is dropped from 1.8m and bounces 3 times. How many times will it rise from the third bounce?
Answer:
0.3888 m or 38.88 cm
Step-by-step explanation:
I believe the question should be "how high will it rise from the third bounce?"
Initial height = 1.8m
If the ball only rises to 3/5 of the previous height after each bounce, the heights after the first three bounces are;
[tex]h_0=1.8m\\h_1=\frac{3}{5}*1.8=1.08\ m\\h_2=\frac{3}{5}*1.08=0.648\ m\\h_3=\frac{3}{5}*0.648=0.3888\ m[/tex]
The ball will rise 0.3888 m or 38.88 cm from the third bounce
Answer: 2.92h
Explanation:
Given:
the ball falls and rebounds to 3/5 of the height it is falling.
Height = 1.8m
to calculate the total distance traversed by the ball up to the third bounce
D = h(0) + (3/5) x h(0) + (3/4) h(0) + (3/4) x (3/4) h(0) + (3/5) x (3/5) h(0) the ball falls and rebounds to 3/4 of the height it is falling.
this distance = down + up +down +up +down only
otherwise it will do the after 3rd bounce travel.
D = h(0) { 1 + 2 x (3/5) + 2 x (9/25) }
= 2.92h(0)
Subtracting Rational Numbers Simplify –3 – 1.
Answer:
-4
Explanation:
when subtracting a positive integer from a negative, the answer becomes smaller. If the question were to ask -3-(-1) negative 3 minus negative 1, the subtraction sign becomes a addition sign, and you add 1 to -3.
Answer: -4
Step-by-step explanation: To subtract the integers -1 - 1, I would first change the minus sign to plus a negative.
So we have -1 + -1.
Now let's use a number line to find our answer.
Starting at 0, -3 moves us 3 units to the left, then from there,
-1 moves us 1 more unit to the left and we end up at -4.
So -3 + -1 is -4.
Write a pair of integers whose difference gives. (a) a negative integer. (b) zero. (c) an integer smaller than both the integer. (d) an integer smaller than only one of the integers. (e) an integer greater than both the integers.
Answer:
(a)5 and 8
(b)5 and 5
(c) 7 and 5
(d)6 and 2
(e)6 and -2
Step-by-step explanation:
(a)a negative integer
We consider the integers 5 and 8
Difference = 5-8 =-3
3 is a negative integer.
(b)Zero
We consider the integers 5 and 5
Difference = 5-5 =0
(c) an integer smaller than both the integer.
We consider the integers 7 and 5
Difference = 7-5 =2
2 is smaller than both integers.
(d) an integer smaller than only one of the integers.
We consider the integers 6 and 2
Difference =6-2=4
4 is smaller than only 6.
(e)an integer greater than both the integers
We consider the integers 6 and -2
Difference =6-(-2)=6+2=8
8 is greater than both 6 and -2.
What do you think the purpose of this survey is? Explain.
Answer:
To better understand the data you're working with
Step-by-step explanation:
Note that, the sample is a subset of your whole population (population here is a general definition, it could be a population of cars for example), which means that if you want to understand your population your best "bet" would be using a sample to try to estimate some unknown characteristics of your population. Let's suppose you want to estimate the true mean of your population, then you would need a sample, and if this sample is big enough you could approximate the estimative to the true mean.
It's hard to say exactly what this survey could mean, but the general idea is to understand your data a little more, see if there is any pattern, if a certain value occurs more than others, to calculate the sample mean, median and standard deviation, and so on...
Hope it helped!
Nora orders a bowl of Tom Yam soup at a restaurant which offers a 15% discount.
The marked price of the Tom Yam soup is $6.90. Given that there is a service
charge of 10% and CST is at 7%, find the total amount of money she has to pay.
plz answer this question
i cannot understand it!