Answer:
3.
Step-by-step explanation:
We are asked to find the estimated digit in the measurement 0.503 L.
We know that in each measurement the estimated digit is always the last digit.
We can see that the first digit in the given measurement is 5, the second digit is 0 and the last digit is 3.
Since the last digit is in our given measurement 3, therefore, the estimated digit is 3.
A line slope is 1 and its y intercept is 2 what is its equation in slope intercept form
Write your answer using integers proper fractions and improper fractions in simplest form
[tex]\[ y = x + 2 \][/tex] is the equation in slope-intercept form.
To find the equation of a line given its slope and y-intercept, we use the slope-intercept form: ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.
Given that the slope ( m = 1 ) and the y-intercept ( b = 2 ), we substitute these values into the equation:
[tex]\[ y = 1x + 2 \][/tex]
[tex]\[ y = x + 2 \][/tex]
This is our equation in slope-intercept form.
Now, let's show the detailed calculation:
1. Start with the slope-intercept form: ( y = mx + b ).
2. Substitute ( m = 1 ) and ( b = 2 ) into the equation: ( y = 1x + 2 ).
3. Simplify: ( y = x + 2 ).
So, the equation of the line is \( y = x + 2 \). This means the line has a slope of 1 and passes through the point (0,2) on the y-axis.
The cross section of a beehive reveals it is made of regular hexagons. what is the measure of each angle in a regular hexagon?
What is the answer because I don't get it
An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly cost for x movie rentals?
Answer:
2.95 x + 39.95 (12)
Hope this helps!!
The yearly cost for a student's movie rentals with a monthly subscription fee and a per-movie fee is expressed as $479.40 + $2.95x, where x is the number of movies rented.
Explanation:The yearly cost for x movie rentals from an on-demand movie company that charges a monthly fee and a per-movie fee can be represented by an algebraic expression. To find this expression, we need to account for both the monthly fee and the cost per movie.
The monthly fee is $39.95, so over one year, this fee would be 12 times $39.95.
For each movie rented, there is an additional charge of $2.95. If x movies are rented over a year, this cost is x times $2.95.
Combining these two costs gives us the total yearly cost:
Yearly Cost = (12 \(\times\) $39.95) + ($2.95 \(\times\) x)
This can be simplified to:
Yearly Cost = $479.40 + $2.95x
Write an equation of a line that includes the point (22,12) and has a slope of 4 in standard form
The equation of the line that passes through the point (22,12) and has a slope of 4 is; y = 4x - 76
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Where x₁ - x coordinate and y₁ - y coordinate
Point (22,12)
Then Slope m =4
Now Write the equation as
y - 12 = 4(x - 22)
y = 4x - 76
Hence, the standard form of the line is; y = 4x - 76
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Help please pre calculus
put 7.6*10^-4 into the given formula as the denominator of the fraction:
10log(1/7.6*10^-4) = 31.19
what type of figures are shown?Which scale factor changes the small to the large version
Answer: Kites, 1.5
Step-by-step explanation: Here to help from da interim checkpoint :)
(5 - 3i)(6 + 2i)
Multiply and simplify.
A) 24 - 8i
B) 24 + 8i
C) 30 - 2i
D) 36 - 8i
Answer:
The correct answer is D
Step-by-step explanation:
36 - 8i is correct. Using FOIL we get 30 - 8i - 6i2, but since i2 = -1, we get 30 - 8i - 6(-1), which is 30 - 8i + 6 = 36 - 8i.
Evaluate 2x + 6y when x= −4/5x and y= 1/3
What is the name of the relationship between ∠1 and ∠4 ? alternate exterior angles corresponding angles adjacent angles alternate interior angles Assessment menu bar
Answer:
coresponding angles buddy
Step-by-step explanation:
The perimeter of an equilateral triangle is 156 feet find the length of each side
Answer:
52 feet
Step-by-step explanation:
In an equilateral triangle, all three sides are equal in length.
If we let s represent the length of one side, the perimeter P of the triangle can be expressed as:
[tex]P = 3s[/tex]
Given that the perimeter is 156 feet, we can set up the equation:
[tex]3s = 156[/tex]
To find s, divide both sides of the equation by 3:
[tex]\dfrac{3s}{3}=\dfrac{156}{3}[/tex]
[tex]s=52[/tex]
Therefore, the length of each side of the equilateral triangle is:
[tex]\large\boxed{52 \textsf{ feet}}[/tex]
For the following figure, complete the statement for the specified points.
Points A, S, Q, and R are _____.
collinear
coplanar
both collinear and coplanar
neither collinear nor coplanar
Answer:
D. Neither collinear nor coplanar
Step-by-step explanation:
We know that,
Collinear points - are the points which lie in the same straight line.
Coplanar points - are the points which lie in the same plane.
From the figure, we see that,
The points A, S, and R lie in the same line but Q does not lie in the same line.
The points A and Q lie in the same plane but others do not lie in the same plane.
Hence, we get,
These points are neither collinear nor coplanar.
Thus, option D is correct.
Solve for x. 7(x + 1) = 21
x = 2
x = 20/7
x = 22/7
x = 4
Four cousins were born at two-year intervals. The sum of their ages is 36. How old are they?
Answer:
6, 8, 10, 12
Step-by-step explanation:
x + (x + 2) + (x + 4) + (x + 6) = 4x + 12.
4x + 12 = 36
24 = 4x
x = 6
rabbits population can double every 30 days if there are 10 rabbits on a farm how many rabbits will be on the farm after 120 days
Answer:
Step-by-step explanation:
= 10(1+1)^4 the final answer is 160
How I got 4 is you divide 30\ 120 =4
After 120 days there will be 160 rabbits on the farm.
What is equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
Rabbits population can double every 30 days.
Initially there are 10 rabbits in a farm.
So, after 30 days there would be 10 × 2 = 20 rabbits.
After next 30 days, there would be
20 × 2
= 10 × 4
= 10 × 2²
= 40 rabbits.
Let t be the number of days and x be the number of rabbits.
So, we have an equation:
[tex]x=10\times2^{\frac{t}{30} }[/tex]
No, we find the number of rabbits after 120 days.
t = 120
So, the equation becomes,
[tex]x=10\times2^{\frac{t}{30} }\\\\x=10\times2^{\frac{120}{30} }\\\\x=10\times2^{4}\\\\x=10\times 16\\\\x=160[/tex]
Therefore, after 120 days there will be 160 rabbits on the farm.
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If PS || QR what is the measure of angle RSP?
Option B is correct. The measure of m<RSP is 49 degrees
From the diagram shown
3x + 2x + 1 + 8y - 13 = 180
5x + 8y - 12 = 180
5x + 8y = 180 + 12
5x + 8y = 192 ................. 1
Also, since PQ is parallel to PS, hence;
5y +14 = 8y - 13 (alternate interior angle)
5y - 8y = -13 - 14
-3y = -27
y = 27/3
y = 9
Substitute y = 9 into equation 1
5x + 8y = 192
5x + 8(9) = 192
5x + 72 = 192
5x = 192 - 72
5x = 120
x = 120/5
x = 24
Get the measure of <RSP
m<RSP = 2x + 1
m<RSP = 2(24) + 1
m<RSP = 48 + 1
m<RSP = 49degrees
Hence the measure of m<RSP is 49 degrees
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What is the equation of the line graphed below?
Select the correct answer below.
A.1/2x+y=3
B.1/2x+y=6
C.-1/2x+y=3
D.-1/2x+y=6
Answer: A. [tex]\dfrac{1}{2}x+y=3[/tex]
Step-by-step explanation:
The equation of a line passing through two points (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Then the equation of a line passing through two points (0,3) and (6,0) is given by :-
[tex](y-3)=\dfrac{0-3}{6-0}(x-0)\\\\\Rightarrow\ y-3=\dfrac{-1}{2}x\\\\\Rightarrow\ \dfrac{1}{2}x+y=3[/tex]
Hence, the equation which is graphed in the given picture :-
[tex]\dfrac{1}{2}x+y=3[/tex]
Which of the following is not involved in constructing a circle inscribed in a triangle?
A- angle bisectors
B- perpendicular bisectors
C- incenter of a triangle
D- center of a circle
Quadrilateral FGHI is dilated with respect to the origin by a scale factor of 1/3 . What are the coordinates of G’?
Answer:
D
Step-by-step explanation:
you divide the x and y axis by 3
Got it right on EDG
Barbara went ice skating. It cost $5.85 to rent the skates, $2.50 for nachos, and it cost $1.95 per hour to skate. If she skates for 2 1/2 hours, how much does she spend?
What is the unit rate for 644.8 ft in 31 s?
divide feet by seconds
644.8 / 31 = 20.8 feet per second
Answer:
644.8 divided by 31 and you should get 20.8Step-by-step explanation:
644.8 divided 31=20.8 just put it in the calculator and you can get your answer :)16. 7⁄8 = ?⁄48 A. 42 B. 1 C. 13 D. 6
i cant answer it :(
7/8=0.875
42/48=0.875
Hope this helps!
If Leslie has a total monthly budget of $4000 and spends $500 on a car payment, What percentage of her monthly budget is dedicated to the car payment?
Answer:
12.5%
Step-by-step explanation:
We have been given that Leslie has a total monthly budget of $4000 and spends $500 on a car payment.
To find the percentage of her monthly budget is dedicated to the car payment, we will find 500 is what percent of 4000.
[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{500}{4000}\times 100\%[/tex]
[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{50}{4}\%[/tex]
[tex]\text{Leslie's monthly budget dedicated to car payment}=12.5\%[/tex]
Therefore, 12.5% of Leslie's monthly budget is dedicated to the car payment.
Suzie purchased a dress on sale for $27.20. This is 85% of the original price. What was the original price?
The original price of the dress purchased by Suzie is given by the equation A = $ 32
What is an 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.
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 data ,
Let the original price of the dress be A
Now , the equation will be
The cost of the purchase = $ 27.20
The percentage of the cost of purchase = 85 %
So ,
The original price of the dress x percentage of the cost of purchase = cost of the purchase
Substituting the values in the equation , we get
A x ( 85/100 ) = 27.20
On simplifying the equation , we get
Multiply by 100 on both sides of the equation , we get
85A = 2720
Divide by 85 on both sides of the equation , we get
A = 2720/85
A = $ 32
Therefore , the value of A is $ 32
Hence , the original price of the dress is $ 32
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What is the area of trapezoid ABCD ?
Enter your answer as a decimal or whole number. Do not round at any steps.
__units²
The measure of ∠ABC is 46°. What is the measure of its intercepted arc AC?
46°
92°
144.44°
23°
Thank you!
Elizabeth bought 4 drinks and some nachos. The nachos cost $6, and she spent a total of $18. How much did each drink cost? Use d to represent the cost of each drink. A. ; each drink cost $4. B. ; each drink cost $6. C. ; each drink cost $2. D. ; each drink cost $3.
The drink costs $3 for each.
The correct option is (D)
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Number of drinks= 4
Cost of Nachos = $6.
Total money spend =$18
After removing the prices from total money spend, we will get the price for 4 drinks
So, 18-6= $12
Cost for 4 drinks =12
Cost of 1 drink =12/4 = $3
Hence, each drink cost $3.
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____ patterns have regular elements spaced at regular intervals.
How to find the equation of an exponential function given two points?
A box contains 14 scarves in unique colors. If 4 scarves are picked randomly from the box,__________ different combinations are possible if the order doesn't matter.
Answer: 363242880
Step-by-step explanation:
We know that the of to calculate the number of combinations, we use the formula :-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex], where n : the total number of items
r: the number of items being chosen at a time.
Given: The total number of scarves contained in a box= 14
The number of scarves picked = 4
The number of different combinations is given by :-
[tex]^{14}C_4=\dfrac{14!}{(14-4)4!}\\\\=\dfrac{14\times13\times12\times11\times10!}{10!4!}\\\\=\dfrac{14\times13\times12\times11}{4\times3\times2}=363242880[/tex]
Hence, If 4 scarves are picked randomly from the box, 363242880 different combinations are possible if the order doesn't matter.
There are approximately 45 hundred species of mammals on Earth and 2.8 x 10 to the 4 species of fish. What is the difference in the number of species?
This is SCIENTIFIC NOTATION
Answer:
23500
Step-by-step explanation:
We are given that
Number of species of mammals on earth=approximately 45 hundred=4500
Number of species of fish=[tex]2.8\times 10^4=2.8\times 10000=28000[/tex]
We have to find the difference between the number of species of mammals and fish.
In order to find the difference in the number of species we will subtract number of species mammals from the number of species of fish.
Difference=28000-4500=23500
Hence, the difference between the number of species of mammals and fish=23500
Answer:
23,500
Step-by-step explanation:
45 hundred = 45 × 100 = 4,500
2.8 × 10^4 = 28,000
28,000 - 4,500 = 23,500