Answer: [tex]9.465\times 10^{15}\ m[/tex]
Step-by-step explanation:
Given
Seconds in a year is [tex]3.155\times 10^7[/tex]
We know
[tex]Distance=speed\times time [/tex]
Speed of light in vacuum is [tex]3\times 10^8\ m/s[/tex]
So distance traveled [tex]=3\times 10^8\times 3.155\times 10^7[/tex]
[tex]distance=9.465\times 10^{15}\ m[/tex]
The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?
Answer:
8.06/65
Step-by-step explanation:
4^2+7^2=8.06^2
16+49=65
Answer:
square root of 65
Step-by-step explanation:
4^2 + 7^2 = x^2
16+ 49= x^2
x^2 = 65
x= sqrt 65
Which system of linear inequalities is represented by the graph x+5y>5 y<2x+4
Answer:
The lines represent the inequalities .
Further explanation:
The linear equation with slope m and intercept c is given as follows.
The formula for slope of line with points and can be expressed as,
Given:
The inequalities are as follows.
a. x – 5y < –5 and y < –2x – 4
b. x + 5y > 5 and y < 2x + 4
c. x – 5y < –5 and y < –2x + 4
d. x + 5y > 5 and y < 2x – 4
Step-by-step explanation:
The blue line intersects y-axis at , therefore the y-intercept is 4.
The blue line intersect the points that are and .
The slope of the line can be obtained as follows.
The slope of the line is m = 2.
Now check whether the inequality included origin or not.
Substitute in equation y=x+1.
0 is not greater than 1 which means that the inequality doesn’t include origin.
Therefore, the blue line is y < 2x + 4.
The orange line intersects y-axis at , therefore the y-intercept is 1.
The orange line intersect the points that are and .
The slope of the line can be obtained as follows.
The slope of the line is m = .
Now check whether the inequality included origin or not.
Substitute in equation y > .
0 is not greater than 1 which means that the inequality doesn’t include origin.
Therefore, the orange line is y > .
Solve the equation y > .
The equation of orange line is 5y + x > 5.
Option (a) is not correct as it satisfy the inequalities of the graph.
Option (b) is correct as it satisfy the inequalities of the graph.
Option (c) is not correct as it satisfy the inequalities of the graph.
Option (d) is is not correct as it satisfy the inequalities of the graph.
Hence, is correct.
Answer:
b
Step-by-step explanation:
You roll a die 30 times. The table shows the results. Find the experimental probability of rolling each number. Write each probability as a fraction in simplest form. For which number is the experimental probability of rolling the number the same as the theoretical probability?
Answer:
i need this answer too someone please answer lol
y=2x+3
y=−3x+3
find slope and y-intercept
Answer:
y = 2x + 3 → Gradient / slope = 2 → Y - intercept = 3
y = -3x + 3 → Gradient / slope = -3 → Y - intercept = 3
Step-by-step explanation:
y = mx + c
This is the standard way an equation of a line is written. The 'm' of the line is the slope/gradient and the 'c' is the y - intercept. You can find the x-intercept by making y = 0. When the questions asks you to find the gradient you should never put 'x' after it only the number so
y = 2x + 3
Gradient / slope = 2
Y - intercept = 3
y = -3x + 3
Gradient / slope = -3
Y - intercept = 3
Write the expression – 5x(4 + 3x) using words.
the sum of negative five times a number and four minus three times the number
the product of negative five times a number and the quantity four plus three times the number
the product of three times a number plus the quantity four and five times the number
Answer:
the product of negative five times a number and the quantity four plus three times the number
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
Fill in the blanks:-
The product of a number and its reciprocal is __________ .
PLEASE HELP.....I NEED TO SUBMIT IT NOW
Answer:
The product of a number and its reciprocal is 1.
For i.e : 4/3 and its reciprocal 3/4, 4/3 x 3/4 = 1
Hope this helps!
:)
A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 7pi/12. The graph of the function does not show a phase shift. What is the equation of the cosine function described?
Fill in the blanks using values from this list: -20, -11, -9, -2, 2, 9, 11, 20, 7pi/12,12pi/7,7/24,24/7
f(x)=___cos(_____x)______
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is [tex]\frac{7\pi}{12}[/tex]. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is [tex]y=A\cos(b(x-c))-d[/tex], where,
A = Amplitude,
[tex]\frac{2\pi}{b}[/tex] = Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is [tex]y=\cos(x)[/tex]. Since function is reflected about x-axis, so our function will be [tex]y=-\cos(x)[/tex].
Let us find the value of b.
[tex]\frac{2\pi}{b}=\frac{7\pi}{12}[/tex]
[tex]7\pi\cdot b=24\pi[/tex]
[tex]\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}[/tex]
[tex]b=\frac{24}{7}[/tex]
Upon substituting our given values in general cosine function, we will get:
[tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex]
Therefore, our required function would be [tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex].
Use only the digits 0 - 9 and the decimal and the negative sign, if needed, to fill in the blank. If f(x) = 3x – 8, then f(-4.7) = _____.
Answer:
-22.1
Step-by-step explanation:
f(x) = 3x – 8,
Let x = -4.7
f(-4.7) =3(-4.7) -8
=-14.1-8
-22.1
What is the perimeter of the quadrilateral
shown below?
Answer:
6x^2+x-1
Step-by-step explanation:
(2x+5)+(4x^2+2x)+(x^2-3x)+(x^2-6)
=4x^2+x^2+x^2+2x+2x-3x+5-6
=6x^2+2x+2x-3x+5-6
=6x^2+x+5-6
=6x^2+x-1
Convert 7/6 to a mixed number
7 out of 6 ymto a mixed number is
1¹/6
Given g(x)= -x-2, find g(0)
Answer:
-2
Step-by-step explanation:
You just have to plug in 0 for x
-(0)-2
there's no such thing as a negative 0 so it would just be negative 2
There are a total of 193 member states (countries) in the united nations as of 2014.The member states are divided into regional groups. The asia group has one less member than the africa group. The european groups are smaller: eastern europe has four less than half the africa group. The western europe group (which includes the united states) has 6 more than eastern europe. The latin america group has 21. Less than the africa group. One country (kiribati, in the central pacific ocean) is in no regional group at all. How many countries are in each of the five groups?
Answer:
Africa = 54 countries
Asia = 53 countries
Eastern Europe = 23 countries
Western Europe = 29 countries
Latin America = 33 countries
Step-by-step explanation:
193 member states - Kiribati = 192 countries
Asia = Africa - 1
Eastern Europe = 0.5Africa - 4
Western Europe = 0.5Africa + 2
Latin America = Africa - 21
Africa
Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192
4Africa - 24 = 192
4Africa = 192 + 24 = 216
Africa = 216 / 4 = 54
Asia = 54 - 1 = 53
Eastern Europe = 0.5(54) - 4 = 23
Western Europe = 0.5(54) + 2 = 29
Latin America = 54 - 21 = 33
Africa is = 54 countries
Asia is = 53 countries
Eastern Europe is = 23 countries
Then, Western Europe is = 29 countries
After that, Latin America = 33 countries
What is Logical Data Grouping?Then, 193 member states - Kiribati = 192 countries
After that, Asia = Africa - 1
Now, Eastern Europe = 0.5Africa - 4
Western Europe is = 0.5Africa + 2
Latin America is = Africa - 21
Africa
Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192
4Africa - 24 = 192
4Africa = 192 + 24 = 216
Africa = 216 / 4 = 54
Asia = 54 - 1 = 53
Eastern Europe = 0.5(54) - 4 = 23
Western Europe = 0.5(54) + 2 = 29
Therefore, Latin America = 54 - 21 = 33
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You are tiling the floor of a 6-foot by 8-foot bathroom. The sink occupies a 3-foot by 2-foot area and the bathtub occupies a 5-foot by 3-foot area. You do not need to tile the area occupied by the sink or bathtub. How much of the floor, in square feet, do you need to tile?
Answer:
The floor, in square feet, you need to tile is [tex]27ft^{2}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes.
To solve this problem we need to calculate the areas of the sink and the bathtub and subtract it from the the area of the the bathroom, the result is the amount of space you need to tile
Step one
Area of sink
[tex]area= length * width\\ area= 3* 2 = 6 ft^{2}[/tex]
Area of bathtub
[tex]area= length * width \\area= 5*3\\area= 15ft^{2} \\[/tex]
Area of bathroom
[tex]area= length* width\\ area = 8* 6\\area=48ft^{2}[/tex]
Step two
To calculate the area we need to tile
let us subtract the areas of the bathtub and the sink from the bathroom we have
[tex]= 48-15-6\\=27ft^{2}[/tex]
Janet is in a race at a summer camp. She must run around a circular lake. She knows rhe diameter of the lake is 1.5 miles how far will Janet run? Use 3.14 for π
Answer:
4.71 miles
Step-by-step explanation:
Janet must run the length of the circumference of the circular lake.
The circumference of a circle is given as:
C = πD
where D = diameter of the circle.
The diameter of the circular lake is 1.5 miles. Therefore, its circumference is:
C = 3.14 * 1.5
C = 4.71 miles
She must run 4.71 miles.
Answer:
4.71
Step-by-step explanation:
5 miles and 8 ft. or 8800 yards
Answer:
5 miles and 8 ft because 8,800 yard is equal to 5 miles and 5 miles and 8 ft is larger than 5 miles
Step-by-step explanation:
Answer is above
Larger than 5 miles
Hope this helps.
How may cups are In a gallon
Answer:
I think it is 16 cups in a gallon
A package of books weighs 72 ounces. What is the weight of the package in pounds?
Answer: 4.5 pounds
Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.
Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.
So 72 ounces equals 4.5 pounds.
please help (probability question)!
Answer:
There are 64 possible outcomes.
Step-by-step explanation:
Each flip has 2 options, heads or tails.
head tail
One flip has 2 outcomes. When you flip again, you can get this set of 4 outcomes:
head-head tail-head
head-tail tail-tail
Then when you flip a third coin, each of those cases has 2 cases itself. As you can see, each flip that is added, the total number of outcomes doubles. For 6 flips, you do 2x2x2x2x2x2 or [tex]2^{6}[/tex].
in the figure below the hexagon is regular which of the following is the image of the point for the given rotation r(120j) (f)
Answer: B
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
3+9=18
Erica has a small metal treasure box. The inside of the box is 3 inches wide, 6 inches long, and 4 inches deep. Erica wants to line the box with fabric to protect the items she puts in the box. How many square inches of fabric will she need? Show your work
Answer: she will need 108 square inches of fabric.
Step-by-step explanation:
To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as
Surface area = (2lw + 2lh + 2wh)
Where
l represents length of the box = 6 inches
w represents width of the box = 3 inches
h represents height of the box = 4 inches
Therefore,
Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²
Jacob took a total of 12 quizzes over the course of 3 weeks.
How many weeks of school will Jacob have to attend this quarter before he will have taken a total of 16 quizzes?
Answer:
4 weeks
Step-by-step explanation:
The number of weeks for a total of 16 quizzes will be 4 weeks.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-
12 quizzes = 3 weeks.
1 quizzes = 3 / 12 weeks
16 quizzes = ( 3 / 12 ) x 16 = 4 weeks
Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.
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Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answer:
The boats will meet in 3.33 hours.
Step-by-step explanation:
A(t) = B(t)
3t = 30 - 6t
9t = 30
t = [tex]\frac{30}{9}[/tex]
t = 3.33
What is the measure of angle x
Answer:
x = 145°Step-by-step explanation:
by looking at the figure we notice that angles AOB and BOC are two supplementary angles which means:
x + 35 = 180
then
x = 180 - 35
then
x = 145
The point-slope form of a line that has a slope of
and passes through the point (3, 0) is shown.
y -0 =3(2-3)
What is the equation in slope-intercept form?
A. y=1/4x-3
B. y=1/4x3/4
C. y=3/4x-1/4
D. y=1/4x-1/12
what are the factors of 36x⁸-49?
Answer:
(6x^4+7)(6x^4-7)
Step-by-step explan
Answer:
The common factor is 1
(6x^4+7) (6x^4-7)
Step-by-step explanation:
I need help with these problems!!!
How would I solve them, can someone explain the steps please, or check if there correct?
Answer:
Step-by-step explanation:
At a furniture store there is a sale on kitchen tables and chairs. Single chairs sell $80 each. If a customer a set of 4 chairs, the total price would. be $250. What is the percent savings on the 4-chair set? Round to the nearest whole percent.
Answer:
4%
Step-by-step explanation:
1% of 250 is $2.50. Times 4 is $10. The difference between 240 and 250 is 10.
Answer:
235
Step-by-step explanation:
A square has an area of 9 cm^2. What is the length of each side?
Answer:
The side length is 3 cm
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
9 = s^2
Take the square root of each side
sqrt(9) = sqrt(s^2)
3 =s
The side length is 3 cm
Answer:
3cm
Step-by-step explanation:
As we know it's a square, we can just square the area to get:
[tex]\sqrt{9}[/tex] = 3
We know we can do this as to find the area of a square or rectangle you just need to multiply the sides together. As it's a square, all the sides are the same so they have the formula:
x * x = A (unit)^2
Melaine charges $4.50 per hour when she washes cars, plus $5.00 for supplies. Which function rule represents the amount y melaine cahrges to wash cars for x hours?
A y= 0.50x
B y= 4.50x + 5.00
C y= 5.00x + 4.50
D y= 9.50x
Answer:
B y= 4.50x + 5.00
Step-by-step explanation:
4.50 is the “mx” in y=mx+b also known as the Slope that moves.
the 5 is the ”b” which is the y-intercept. It is a constant and does not change.
which rational number does not have a reciprocal
Answer:
the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].
Step-by-step explanation:
