Answer:
5.14
Step-by-step explanation:
[tex]3.7\times2.7[/tex]
Multiply the second numbers in both decimals to each other:
[tex].7\times.7=.14[/tex]
Now multiply the first numbers to each other:
[tex]3\times2=5[/tex]
[tex]=5.14[/tex]
Here is a system of two linear equations. Verify that the solution to this system is (3,4).
Equation A1: y = x + 1
Equation A2: y = -2x + 10
Answer:
The answer
x=3
y=4
Step-by-step explanation:
You use substitution to solve it:
x+1=-2x+10
3x+1=10
3x=9
x=3
y=4
plug in the solution to the equation to verify your answer.
Y=-2x^2+8x-8 What is the vertex
Answer:
Vertex is (2,0)
Step-by-step explanation:
The vertex of a parabola is x=-b/2a
Since a=-2 and b=8, we have:
x=-8/2(-2)
x=-8/-4
x=2
So the vertex is (2,0)
which of The following numbers is largest Try This question out and I’ll give you brainliest
Answer: 0.153 is the largest
Step-by-step explanation:
1/7=0.14, 1/12=0.08, and 15%= 0.150
prove that :
1/sin^2A -1/tan^2A =1
To prove that:
[tex]$\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}=1[/tex]
LHS = [tex]\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}[/tex]
Using basic trigonometric identity, [tex]\tan (x)=\frac{\sin (x)}{\cos (x)}[/tex]
[tex]$=\frac{1}{\sin ^{2}A}-\frac{1}{\left(\frac{\sin A}{\cos A}\right)^{2}}[/tex]
[tex]$=\frac{1}{\sin ^{2}A}-\frac{1}{\frac{\sin^2A}{\cos^2 A}}[/tex]
[tex]$=\frac{1}{\sin ^{2}A}-\frac{\cos^2 A}{\sin^2A}[/tex]
[tex]$=\frac{1-{\cos^2 A}}{\sin ^{2}A}[/tex]
Using trigonometric identity: [tex]1-\cos ^{2}(x)=\sin ^{2}(x)[/tex]
[tex]$=\frac{\sin ^{2}A}{\sin ^{2}A}[/tex]
= 1
= RHS
LHS = RHS
[tex]$\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}=1[/tex]
Hence proved.
Type the Integer that makes the following addition sentence true.
Answer:
11
Step-by-step explanation:
3 + 38 - 63 + 33 = 11
Answer:
11
Step-by-step explanation:
I found the answer simply by doing trial-and-error, but here are the steps:
11 - 33 = -22
-22 + 63 = 41
41 + (-38) = 3
how to find critical points
Answer:
look for places where the derivative is zero or undefined
Step-by-step explanation:
Find the derivative. Critical points are where the derivative is zero, and where it is undefined.
__
A polynomial function may or may not have points where the derivative is zero. It will never have points where the derivative is undefined (tangent lines are vertical).
A rational function, or one involving fractional exponents may have critical points where the derivative is undefined.
__
For example, the function ...
y = √(1 -x^2)
has the derivative ...
y' = -x/√(1 -x^2)
This has a zero at x=0 (tangent is horizontal). It is undefined at x = ±1, where the denominator is zero (tangent is vertical). Those values of x tell you the critical points are (-1, 0), (0, 1), (1, 0).
Critical points in a mathematical function are found by deriving the function, setting the derivative equal to zero, and solving for x. The x-values obtained are the x-coordinates of the critical points. An example is provided for the function f(x) = x3 - 3x2.
Explanation:To find the critical points in a function, you first need to identify the derivative of the function. Once you have obtained the derivative, you set it equal to zero and solve for x. The x-values you get are the x-coordinates of your critical points.
Let's illustrate with an example, using the function f(x) = x3 - 3x2.
First, let's find the derivative, f'(x) = 3x2 - 6x. Then set f'(x) = 0 and solve for x. This gives us x = 0 and x = 2. Therefore, (0, f(0)) and (2, f(2)) are the critical points of the function.
Please note, critical points are also the points where the derivative is undefined. However, in this case the derivative exists for all real numbers, so we do not have any such critical points here.
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Find a positive angle less than 360° that is coterminal with the given angle.
525°
Answer:
165
Step-by-step explanation:
525-360=165
6 Write an equation in point-slope form given the points (-1,-7) and (2, 5). a. y - 5 = 4 (x - 2) b. y + 5 = 4 (x + 2) c. y - 2 = 4 (x - 5) d. y + 2 = 4 (x + 5)
Answer:
A - y - 5= 4(x - 2)
Step-by-step explanation:
First find slope with the two points given
( -1 , -7) and ( 2 , 5)
Using
m = y_2 - y_1 / x_2 - x_1
m - slope
x_1 = -1
y_1 = -7
x_2 = 2
ÿ_2 = 5
Inserting the values
m = 5 - (-7) / 2 - (-1)
= 5 + 7 / 2 + 1
= 12 / 3
= 4
Slope is 4
Then let's proceed
y - y_1 = m ( x - x_1)
using ( 2 , 5) as x_1 and y_1 respectively
x_1 = 2
y_1 = 5
m = 4
y - 5 = m ( x - 2)
m = 4
y - 5 = 4 ( x - 2)
We are asked to give the answer in point slope form
Find the area of the figure.
If you really know, you don't need the answer choices
Good Luck :)
The answer is B.)
1. Find the area of the rectangle = L x W
- 5 x 6 = 30
2. Find the area of the triangle = bh/2
- 4*3/2 = 6
3. Add the areas of the figures.
- 30 + 6 = 36 cm^2
3/4 of m into an algebraic expression
The word OF means to multiply in math.
So, 3/4 of m becomes (3/4)m, which means 3/4 TIMES m.
We can also write the expression
this way: (3m)/4.
They both mean the same thing.
The requried 3/4 of m is represented by the algebraic expression (3/4)m, and its value depends on the specific value assigned to m.
To express 3/4 of a quantity, m, as an algebraic expression, we can multiply 3/4 by m.
The algebraic expression for 3/4 of m is (3/4)m.
To evaluate this expression, we simply multiply 3/4 by the value of m.
For example, if m = 10, we substitute m = 10 into the expression to find (3/4)(10) = (3/4) * 10 = 30/4 = 7.5.
Therefore, 3/4 of m is represented by the algebraic expression (3/4)m, and its value depends on the specific value assigned to m.
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Please help ASAP; it is based off of sequences
Answer:
[tex]a_n= - 1( - 2)^{n-1}[/tex]
Step-by-step explanation:
The given geometric sequence is :
-1,2,-4,8,...
The first term is
[tex]a_1=-1[/tex]
The common ratio is
[tex]r = \frac{2}{ - 1} = - 2[/tex]
The nth term is given by;
[tex]a_n=a_1(r^{n-1})[/tex]
We substitute the values of the first term and common ratio to get:
[tex]a_n= - 1( - 2)^{n-1}[/tex]
This is called the explicit formula.
If MP = 6x – 5, QR = 3x + 1, and RN = 6, what is QN?
Answer:
19 units.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is given that MN=PQ.
It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.
Since non parallel sides are equal, therefore it is an isosceles trapezoid.
The diagonals of an isosceles trapezoid are equal.
[tex]MP=QN[/tex]
[tex]MP=QR+RN[/tex]
Substitute the given values.
[tex]6x-5=3x+1+6[/tex]
[tex]6x-5=3x+7[/tex]
[tex]6x-3x=5+7[/tex]
[tex]3x=12[/tex]
[tex]x=4[/tex]
The value of x is 4.
[tex]QN=MP=6x-5=6(4)-5=24-5=19[/tex]
Hence, the measure of QN is 19 units.
To find QN, RN from the value of QR which is 3x - 5
Explanation:The value can be found using Algebraic expressions.
To find QN, we need to find the value of QR and subtract RN from it.
Given that QR = 3x + 1 and RN = 6, we can substitute these values into the equation.
So, QN = (3x + 1) - 6.
Simplifying further, QN
= 3x + 1 - 6
= 3x - 5.
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Solve for y.
-3=7(y-9/7)
Answer: Y= 6/7 or Y=0.86
Step-by-step explanation:
-3=7(y-9/7)
-3=7y-9
+9 +9
6=7y
divide both sides to get y by it self
6/7=y
Answer:
Y=6/7
Step-by-step explanation:
You have to isolate the variable by doing the opposite of PEMDAS to both sides of the equation.
I need the answers for these pls help
Answer:
1)
A. m arc QRS = 100°
B. m arc QRT = 255°
C. m arc UTS = 180°
D. m arc UTR = 205°
2)
1] The major arc CA = 255°
2] The minor arc AB = 90°
Step-by-step explanation:
In a circle:
The measure of an central angle is equal to the measure of its subtended arcThe measure of a circle is 360°Any chord divides a circle into two arcs, a minor arc its measure is < 180° and a major arc its measure is > 180°, the sum of the measures of the minor and major arcs is 360°If the measures of the minor and major arcs are equal, then each arc represents a semi-circle1)
In circle O
A.
∵ m∠QOR = 75°
∵ ∠QOR subtended by arc QR
- By using the 1st note above
∴ m of arc QR = m∠QOR
∴ m of arc QR = 75°
∵ m∠ROS = 25°
∵ ∠ROS subtended by arc RS
∴ m of arc RS = m∠ROS
∴ m of arc RS = 25°
The measure of arc QRS is the sum of the measures of arcs QR and RS
∴ m arc QRS = 75° + 25° = 100°
B.
∵ m∠SOT = 155°
∵ ∠SOT subtended by arc ST
∴ m of arc ST = m∠SOT
∴ m of arc ST = 155°
The measure of arc QRT is the sum of the measures of arcs QR, RS and ST
∴ m arc QRT = 75° + 25° + 155 °= 255°
C.
∵ m∠UOT = 25°
∵ ∠UOT subtended by arc UT
∴ m of arc UT = m∠UOT
∴ m of arc RUT = 25°
The measure of arc UTS is the sum of the measures of arcs UT and TS
∴ m arc UTS = 25° + 155° = 180°
D.
The measure of arc UTR is the sum of the measures of arcs UT, TS and SR
∴ m arc UTR = 25° + 155° + 25 = 205°
2)
1]
∵ The sum of the measures of the minor and major arcs is 360°
∵ m of minor arc AC = 105°
- Subtract 105 from 360° to find the measure of the major arc CA
∴ m of major arc CA = 360° - 105°
∴ m of major arc CA = 255°
2]
∵ m of major arc AB = 270°
- Subtract 270° from 360° to find the measure of the minor arc AB
∴ m of minor arc AB = 360° - 270°
∴ m of minor arc AB = 90°
Sienna earns $9.36 for each hour she works. This week she worked 15.67 hours. How much did Sienna earn this week?
Answer:
146.67 dollars
Step-by-step explanation:
9.36*15.67
Answer:
$146.67
Step-by-step explanation:
$9.36 per hour
15.67 hours
Multiply
$146.67
Hope this helps :)
If m/n =5, then m2−25n2 =
Answer:
(1) m > 0
(2) 2m + n= 26
Step-by-step explanation:
Answer:
its 0 trust me
Step-by-step explanation:
ce
Which rigid transformation(s) can map AABC onto a
FED?
O
reflection, then dilation
reflection, then translation
rotation, then translation
rotation, then reflection
O
Answer:
B. reflection, then translation
Step-by-step explanation:
Hope this helps :)
Triangle ABC can be mapped onto triangle FED through reflection, then translation
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Triangle ABC can be mapped onto triangle FED through reflection, then translation
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What is the first operation to use to simplify the expression?
3,500÷(34+8×2)−4
Final answer:
To simplify the expression 3,500÷(34+8×2)−4, first simplify the expression inside the parentheses, then divide and subtract to get the final answer of 66.
Explanation:
To simplify the expression 3,500÷(34+8×2)−4, we need to follow the order of operations which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). In this case, we first simplify the expression inside the parentheses, which is (34+8×2). We perform the multiplication first, then the addition, resulting in 34+16. Next, we divide 3,500 by the sum of 34 and 16. Finally, we subtract 4 from the quotient.
Step-by-step:
1. Simplify (34+8×2) = 34+16 = 50
2. Divide 3,500 by 50 = 70
3. Subtract 4 from 70 = 66
Max and some friends shared the cost of a meal. The meal cast $51 and each person contributed $17 how many people share the cost of the meal
Answer:
3
Step-by-step explanation:
51 divided by 17 equals 3
9. GO DEEPER Mrs. Rodriguez has 18 packages of pens in stock at her store on Monday.
On Tuesday, she has the number of pens she had on Monday. On Wednesday, na
she has of the number of pens she had on Tuesday. How many packages of pens A
does she have on Wednesday?
Answer:
Mrs. Rodriguez has 6 packages of pens Wednesday
Step-by-step explanation:
dard
3. A soda pop company is running a bottle cap
contest where "WINNER" is printed
underneath random bottle caps. If the
probability of getting a winning bottle cap is
6 in 40, what is the probability of not winning?
Answer:
34 in 40
Step-by-step explanation:
6 in 40 is the probability of winning, so
34 in 40 is the probability of not winning.
simply do 40 - 6.
This answer can also be written as
[tex] \frac{34}{40} [/tex]
or 85%
The probability of not winning a bottle cap is 34/40.
What is probability?Probability is a field in mathematics that deals with the possibility of how an event is likely to occur or true.
The probability of favorable outcomes (winning) = 6The probability of unfavorable outcomes (not winning) = 40 - 6 = 34The total possible outcome = 40The probability of not winning = 34/40
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1) 1336 = 8(-14x - 29)
Answer:
x = -14
Step-by-step explanation:
Step 1: Distribute
1336 = 8(-14x - 29)
1336 = -112x - 232
Step 2: Add 232 to both sides
1336 + 232 = -112x - 232 + 232
1568 = -112x
Step 3: Divide both sides by -112
1568 / -112 = -112x / -112
-14 = x
Answer: x = -14
Answer:
The solution is x = -14
Step-by-step explanation:
To solve for x, first perform the indicated multiplication. We get:
1336 = 8(-14x - 29) => 1336 = -112x - 232
Adding 232 to both sides isolates -112x:
1336 + 232 = -112x, or
1568 = -112x
Next, x = -1568/112 = -14
The solution is x = -14.
What is the value of the expression? 32+[4×(15÷3)]−5
Answer:
47
Step-by-step explanation:
32+[4×(15÷3)]−5
At first we have to apply "BODMAS" rule. According to the rule, we will work 1st bracket.
Hence,
32+[4×5]−5
Then, we will take 3rd bracket into consideration,
32+20−5
Then, we will use addition from the BODMAS rule-
52 - 5
Finally, subtracting 5 from 52, we can get
= 47
The value of the expression is 47.
Final answer:
The value of the expression 32+[4×(15÷3)]−5 is calculated using the order of operations to be 47.
Explanation:
The value of the expression 32+[4×(15÷3)]−5 can be calculated by following the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's solve it step by step:
Solve the expression inside the parentheses: (15÷3) = 5.
Multiply this result by 4: 4×5 = 20.
Add this result to 32: 32 + 20 = 52.
Finally, subtract 5 from this sum: 52 − 5 = 47.
Therefore, the value of the expression is 47.
Which two of the following numbers are irrational?
16
6π
6√
36−−√
0.3636
Answer:
6π,0.3636
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction for any integers.
So 6π and 0.3636 are irrational numbers
Multiply. Write your answer as a fraction in simplest form.
8(3/26)
Answer:
12/13
Step-by-step explanation:
I hope this helps!
If the rate 130 miles per 2 hours is reduced to a unit rate, the result is
miles per hour.
Answer here
Answer:
65 miles every 1 hour
Step-by-step explanation:
Unit rate is found once one of the units is 1. In this case we need to reduce the ratio so that it is 1 hour and we get a unit rate. We can do this by dividing both sided by 2 so that the hours are reduced to 1.
130=2
130/2=65 2/2=1
65=1
65 miles every hour
The unit rate of 130 miles per 2 hours is 65 miles per hour. This is calculated by dividing the number of miles (130) by the number of hours (2).
Explanation:In Mathematics, the term unit rate refers to the ratio of two measurements, in which the denominator is 1. In this situation, you are given the rate of 130 miles per 2 hours and need to reduce it to a unit rate. To do this, you divide the number of miles (130) by the number of hours (2).
The calculation would be 130 miles ÷ 2 hours = 65 miles per hour. Hence, the unit rate of 130 miles per 2 hours is 65 miles per hour. This means that if you travel at this rate, you would cover 65 miles in one hour.
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What is 12% on $3,200 in sales?
Answer:
The easiest way of calculating discount is, in this case, to multiply the normal price $3200 by 12 then divide it by one hundred. So, the discount is equal to $384. To calculate the sales price, simply deduct the discount of $384 from the original price $3200 then get $2816 as the sales price.
A system of equations that ended with the statement 5=5 has no solution? False or true
Answer: no solution
Step-by-step explanation:
In a system of equations, if the final equation simplifies to a statement that is always true, like 5=5, this indicates the system has in fact an infinity of solutions, not no solutions.
Explanation:The question given pertains to the solution of a system of equations. In a system of equations, if you simplify to a point where you end up with a statement that is always true, such as 5=5, this indicates that the system has an infinite number of solutions, not no solutions as suggested.
Let's imagine we have a system of two linear equations representing two lines on a graph. If the lines overlap perfectly (one is exactly the same as the other), every point on the line is a point of intersection, meaning it is a solution to the system. When we simplify such a system algebraically, we get an identity like 5=5 which is true no matter what values the variables may take, directly indicating that there are an infinite number of solutions.
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The distance from Jason's house to school is 0.6 kilometer. What is this distance in meters?
Answer:
600 meters
Step-by-step explanation:
1 kilometer= 1000 meters
0.6/1=x/100
Which makes x=600
“I think I can make it. I’ll just jump.” says Denis, flashing a grin as he looks to the neighboring rooftop.
“Wait!” Vera exclaims. “First let's find the distance! Here, take a look at this diagram.”
“I’ve never much cared for math,” Denis frowns.
Vera rolls her eyes. “We know the distance between us, and we know the angles between ourselves and your target landing point. All we need to do is...”
Denis jumps.
“...apply the law of sines.” Vera gasps.
According to Vera's diagram, how far did Denis need to jump to reach the neighboring rooftop?
9514 1404 393
Answer:
5.3 m
Step-by-step explanation:
The angle opposite the given side is ...
180° -105° -40° = 35°
Then the law of sines tells us the unknown distance (d) is ...
d/sin(40°) = 4.7 m/sin(35°)
d = (4.7 m)sin(40°)/sin(35°) ≈ 5.267 m
Denis will need to jump about 5.3 m to reach the neighboring roof.
_____
Additional comment
Denis will need a running start. The world record for a standing broad jump is less than 4 m.