Answer:
The answer after rounding is 24
Step-by-step explanation:
You would round down 3.4 to 3 and round up 7.5 to 8
3 x 8 = 24
The actual answer of 3.4 x 7.5 is 25.5, so 24 isn't too far off.
Which of the following is the equation of a line that passes though the points (2,5) and (4,3)
Answer:
y= -1x+7
or
y = -1x + b
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(2,5) and (4,3).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,5), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=5.
Also, let's call the second point you gave, (4,3), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=3.
Now, just plug the numbers into the formula for m above, like this:
m=
3 - 5
4 - 2
or...
m=
-2
2
or...
m=-1
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=-1x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(2,5). When x of the line is 2, y of the line must be 5.
(4,3). When x of the line is 4, y of the line must be 3.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=-1x+b. b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,5) and (4,3).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(2,5). y=mx+b or 5=-1 × 2+b, or solving for b: b=5-(-1)(2). b=7.
(4,3). y=mx+b or 3=-1 × 4+b, or solving for b: b=3-(-1)(4). b=7.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(2,5) and (4,3)
is
y=-1x+7
Berapakah hasil dari
Dua belas di kali dua?
Answer:
24Step-by-step explanation:
[tex] = > 12 \times 2[/tex]
[tex] = 24[/tex]
What is the recursive formula for this arithmetic sequence?
-7,-1,5, 11, ...
Answer:
D
Step-by-step explanation:
The recursive formula allows us to find any term in a sequence by adding the common difference d to the previous term.
Here d = - 1 - (- 7) = - 1 + 7 = 6 , then
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 ; a₁ = - 7
Max is painting a fence.The table shows the number of square feet he painted after various numbers of minutes. What is the rate of change?
Amount of Fence Max Painted
Minutes
Square Feet Painted
1
3.5
2
7
3
10.5
4
14
5
17.5
–3.5
–1
1
3.5
Answer:
3.5
Step-by-step explanation:
Find the area of the triangle. Round your answer to the nearest tenth.
B
25 cm
320
c
A
25 cm
d. 195.3 cm
c. 165.6 cm2
b. 312.5 cm?
a. 331.2 cm2
Answer:
c. 165.6 cm²
Step-by-step explanation:
We are given two sides of a triangle and an included angle. To find the area, we would apply the following formula:
Area = ½*b*c*Sin(A)
b = 25 cm
c = 25 cm
A = 32°
Area = ½*25*25*Sin(32)
Area = 165.59977
Area ≈ 165.6 cm² (nearest tenth)
Can someone help me?It's urgent and thank you!
Answer:
x = 4 is the answer
PLease give a brainliest
Is the graph increasing, decreasing, or constant? I need help with it!!
Answer:Decreasing
Step-by-step explanation:
The line is going down.
The given graph is decreasing. The correct option is A.
Increasing graph: A graph is considered increasing if it moves upwards as you move from left to right along the x-axis. In other words, the y-values increase as the x-values increase. This is often represented by a positive slope, where the line or curve ascends as it extends to the right.
Decreasing graph: A graph is considered decreasing if it moves downwards as you move from left to right along the x-axis. In this case, the y-values decrease as the x-values increase. It is represented by a negative slope, where the line or curve descends as it extends to the right.
Constant graph: A graph is considered constant if it remains flat and does not rise or fall as you move along the x-axis. The y-values do not change with increasing x-values, and this is represented by a horizontal line.
In given figure the line goes to downwards and the vales of y is decreasing for the increasing values of x.
Hence, the given graph is decreasing. The correct option is A.
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The new theme park in Myrtle Beach averaged fewer than 2,000 visitors per week during the cold winter months. What was the average daily attendance?
Answer:
Fewer than 286
Step-by-step explanation:
Average daily guest = visitors per week / number of days in a week
2000 / 7 = 285.7 = 286 guests
how. to know if your data is numerical or categorical
Answer:
See in details.
Step-by-step explanation:
Categorical data don't have any logical order and it can't be translated into a numerical value.
Numerical data are numbers and they represent some order and value.
algebra 2 help plsass
Answer:
A
Step-by-step explanation:
60 PTS PLS ANSWER WILL AWARD BRAINLIEST ASAP
Answer:
9. a) 180 - (55+90) = a
b) a=35 degrees
10. a) 2w + 3w + 40 = 180
b) w=28
c) 2w=56 3w=84
Step-by-step explanation:
Answer:
the person above is 100% right trust me :)
Step-by-step explanation:
The measures of two complementary angles are represented by (2x) and (3x - 10)". What is the value of x?
Answer:
Step-by-step explanation:
2x + 3x - 10 = 90
Combine like terms
5x - 10 = 90
Add 10 to both sides
5x = 90+10
5x = 100
Divide both sides by 5
x =100/5
x = 20
Find the value of x segment addition
Answer:
6
Step-by-step explanation:
4+x-3=2x-5
1+x=2×-5
2x-x=6
x=6
What is the sum of the measures of the exterior angles of a regular dodecagon? If necessary, round to the nearest tenth.
Step-by-step explanation:
Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.
Sum of all interior angles of
N
-sided regular polygon equals to
(
N
−
2
)
⋅
180
o
.
Therefore, sum of interior angles of
12
-sided polygon is
(
12
−
2
)
⋅
180
o
=
1800
o
All 12 interior angles of dodecagon are equal, so each is
180-30
150
A supplementary exterior angle, therefore, equals to
180-150
=30
hopeit helps..
Answer
The measure of each exterior angle of a regular dodecagon is 30 degrees.
What is a regular dodecagon?A regular dodecagon is a 12-sided regular polygon with each side equal.
We are asked to find the measure of each exterior angle of a regular dodecagon.
We know that measure of each angle of n-sided regular polygon can be found using
= 360/n
Upon substituting n = 12 in above formula, we will get:
= 360 / 12
= 30
Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.
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-4x^4 - 3x^3 - 29x^2 - 114 where x= -4
Answer: -1410
Step-by-step explanation:
Let's start by subbing in -4 for x
[tex]-4x^4 - 3x^3 - 29x^2 - 114\\-4(-4)^4-3(-4)^3-29(-4)^2-114[/tex]
Now we can solve
[tex]-4(256)-3(-64)-29(16)-114\\-1024--192-464-114\\-832-464-114\\-1296-114\\-1410[/tex]
Answer:
[tex]-1440[/tex]
Step-by-step explanation:
------------------------------
Given:
[tex]-4x^4-3x^3-29x^2-114=[/tex]
[tex]x=-4[/tex]
--------------->>>>
Let's substitute [tex]-4[/tex] for [tex]x[/tex] and solve
[tex]-4(-4)^4-3(-4)^3-29(-4)^2-144=[/tex]
Multiply the exponents
[tex]-4(256)-3(-64)-29(16)-144=[/tex]
Multiply the parenthesis
[tex]-1024+192-464-144=[/tex]
[tex]-832-464-144=[/tex]
[tex]-1296-144=[/tex]
[tex]=-1440[/tex]
------------------------------
Hope this helps.
John measured two pieces of string. One piece measured 7/12 m and the other measured 4/7 m.
Select the true statement about the lengths of John's string.
1) 7/12= 0.58, 4/7= 0.57
they are about 1/2
2) 7/12 + 4/7 = 97/84= 1.15 approximately 1
which is 1m from the option
Please help me-
On a piece of paper, graph f(x) = {6 if -5 < x < -1
{4 if -1 < x < 2
{2 if 2< x < 5 .
Then determine which
answer choice matches the graph you drew.
Explanation:
You are basically graphing the three horizontal lines y = 6, y = 4 and y = 2; however, there are restrictions to each line.
The first line (y = 6) is only graphed when [tex]-5 < x \le -1[/tex]The second line (y = 4) is only graphed when [tex]-1 < x \le 2[/tex]The third line (y = 2) is only graphed when [tex]2 < x \le 5[/tex]That's how we get the staircase pattern as shown in graph A. This is considered a piecewise function since we're graphing pieces of various other functions.
Note the use of open holes vs closed circles for the endpoints. The open holes correspond to parts of the inequality that don't have "or equal to", which means we leave that part out of the graph. In contrast, the closed fill in circles do have "or equal to" associated with them, so we do include those endpoints.
Answer:
A
Step-by-step explanation:
guys pls help me ASAP
Answer:
[tex]x=-2[/tex] ⇒ [tex]y=2[/tex]
[tex]x=-1[/tex] ⇒ [tex]y=-4[/tex]
[tex]x=0[/tex] ⇒ [tex]y=-6[/tex]
[tex]x=1[/tex] ⇒ [tex]y=-4[/tex]
Step-by-step explanation:
Formula: [tex]y=2x^{2} -6[/tex]
To find the value of [tex]y[/tex] add the value of [tex]x[/tex] given:
Now solve for each:-
For:
[tex]x=-2[/tex]
[tex]y=2(-2)^{2} -6[/tex]
[tex]y=2[/tex]
For:
[tex]x=-1[/tex]
[tex]y=2(-1)^{2} -6[/tex]
[tex]y=-4[/tex]
For:
[tex]x=0[/tex]
[tex]y=2(0)^{2} -6[/tex]
[tex]y=-6[/tex]
For:
[tex]x=1[/tex]
[tex]y=2(1)^{2}-6[/tex]
[tex]y=-4[/tex]
hope this helps.....
a)A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.
A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.
Answer:-let the cost price be 50x
→he sells 30kg of fruits on it's CP of 35 kg
→CP of 30kg fruits = 30x
→SP of 35kg fruits = 35x
→remaing fruits are 20kg
→he sells 20kg of fruits on CP of 16kg
→CP of 20kg fruits = 20x
→SP of 20kg fruits = 16x
→total CP is = 50x
→total SP is = (35 + 16) = 51x
→SP > CP (it means profit)
→profit = SP-CP
→ 51-50
→ 1
Now,→ Profit% = gain/CP × 100
→ Profit% = 1/50 × 100
→ 2%
Hence the fruit seller had a profit% of 2%.
triangle ABC is similar to triangle JKL match each part of ABC with the corresponding part of JKL
Answer:
<B = <K
<C = < L
AC= JL
BC= KL
Step-by-step explanation:
The triangles are equel, meaning the letters will be in the same place on a triangle, hope this helps
Here is some information about a holiday.
7 night holiday
$340 per person
8% discount if you book before 31 March
On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.
Answer:
$625.6
Step-by-step explanation:
Information about a holiday:
7 night holiday
$340 per person
8% discount if you book before 31 March
Number of people Naseem booked the holiday for = 2
Date of booking of the holiday = February 15
Total cost of the holiday per person = cost per person - discount before March 31
= $340 - 8% of $340
= 340 - 8/100 * 340
= 340 - 0.08 * 340
= 340 - 27.2
= $312.8
Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person
= 2 * $312.8
= $625.6
Which of the following criteria is excluded from national benchmark test?
A Mathematics
B Academic literacy
C Qualitative literacy
D Quantitative literacy
The criteria that is excluded from national benchmark test is Qualitative literacy. That is option C.
National Benchmark Test is an academic assessment test usually written by students that are about entering the university.
The National Benchmark Tests comprise three multiple choice tests, written as:
A combined Academic Literacy: this tests the ability of the candidate to adapt fully to the academic demands of higher degree.and Quantitative Literacy (AQL) test: this tests the ability of the candidate to solve problems in a real context that is relevant to higher education study. A separate Mathematics test: this tests the ability of the candidate to related to mathematical concepts needed for a higher education.Qualitative literacy is the ability to understand and interpret qualitative evidence. It is not included in the national benchmark test criteria.
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Please help and thank you
Answer:
B is your answer to this question
What is the area please
Answer:
A1 = Triangle (this can be calculated using the formula 1/2×base×height. Base =9 and height =13)
A2 = Square (3×5=15)
Add A1 + A2 to get the total area = 73.5
[tex]3 \sqrt{10} + \sqrt{9} - 4\sqrt{17} [/tex]
please help with this equation
Please help me guyssssssssssssssss
Answer:
x≥-4
Step-by-step explanation:
-2-3x ≤ 10
Add 2 to each side
-2-3x+2 ≤10+2
-3x ≤ 12
Divide by -3, remembering to flip the inequality
-3x/-3 ≥ 12/-3
x≥-4
Answer:
Easy x[tex]\geq[/tex]4
Step-by-step explanation:
a)-2-3x[tex]\leq[/tex]10 can be broken down by
b)-2-3x[tex]\leq[/tex]10
+2 +2
c)-3x[tex]\leq[/tex]12
+3 +3
d) x[tex]\geq[/tex]4
Calculate the volume of this cylinder, giving your answer to 1 decimal place.
Radius=20 cm
Height=9 cm
Answer:
11,304.0 cm³
Step-by-step explanation:
the volume = π.r².h
= 3.14 × 20² × 9
= 11,304
Pls answer……………………..
Answer:
They are not congruent because the lines aren't parallel.
Step-by-step explanation:
For all of those angle relation theorems to be valid, PARALLEL lines need to be split by a transversal.
The screen at Dallas' AT&T Stadium is 175 feet wide. A movie theatre screen with
similar dimensions is 40 feet wide with a screen area of 896 Ft. What is the area of
the screen at AT&T Stadium? Round to the nearest square foot.
Answer:
17150 ft²
Step-by-step explanation:
Given the ratio of sides = a : b , then
ratio of areas = a² : b²
Here ratio of sides = 175 : 40 = 35 : 8 , then
ratio of areas = 35² : 8² = 1225 : 64
let x be the area of AT & T Stadium then by proportion
[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )
64x = 896 × 1225 = 1097600 ( divide both sides by 64 )
x = 17150
The AT & T screen has an area of 17150 ft²
PLEASE ANSWER ASAP
expand and simplify the following:
a) (√6+√3)(√6-√3)
b)(√5-√2)(√2+√5)
Answer:
I've attached the Answer
Step-by-step explanation:
here it is
Answer:
[tex](\sqrt{6}+\sqrt{3})(\sqrt{6}-\sqrt{3})=3[/tex]
[tex](\sqrt{5}-\sqrt{2})(\sqrt{2}+\sqrt{5})=3[/tex]
Step-by-step explanation:
We want to simplify the expression:
[tex](\sqrt{6}+\sqrt{3})(\sqrt{6}-\sqrt{3})[/tex]
Notice that this is the difference of two squares pattern. Namely:
[tex]a^2-b^2=(a+b)(a-b)[/tex]
If we let a = √6 and b =√3, we acquire:
[tex](a+b)(a-b)[/tex]
Expand accordingly:
[tex]=a^2-b^2[/tex]
Back-substitute:
[tex]=(\sqrt{6})^2-(\sqrt{3})^2[/tex]
Simplify:
[tex]=6-3=3[/tex]
For the second expression, we have a similar pattern:
[tex](\sqrt{5}-\sqrt{2})(\sqrt{2}+\sqrt{5})[/tex]
We can first rewrite the expression (commutative property):
[tex]=(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})[/tex]
And if we let a = √5 and b = √2:
[tex]=(a-b)(a+b)[/tex]
Expand accordingly:
[tex]=a^2-b^2[/tex]
Back-substitute and simplify:
[tex]=(\sqrt{5})^2-(\sqrt{2})^2=5-2=3[/tex]