when 7 is subtracted from 3 times a certain number , the result is 28. What is the number
The number will be equal to 11.67.
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.
The expression will be formed from the given data. Let the number be x so the expression will be:-
3x - 7 = 28
3x = 35
x = 35 / 3
x = 11.67
Therefore the number will be equal to 11.67.
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edg vector operations, any help appreciated!
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: Add \:\: -6 \hat i - 6\hat j \:\:with \:\; Vector \:\; c[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Vector d can be represented as :
[tex]\qquad \tt \rightarrow \: - 2 \hat i - 2 \hat j[/tex]
Vector c can be represented as :
[tex]\qquad \tt \rightarrow \: 4 \hat i + 4\hat j[/tex]
we have to create vector d from vector c
So, let's assume a vector x, such that sum of vector x and vector c equals to vector d
[tex]\qquad \tt \rightarrow \: x + ( 4 \hat i + 4 \hat j) = - 2 \hat i - 2 \hat j[/tex]
[tex]\qquad \tt \rightarrow \: x = - ( 4 \hat i + 4 \hat j) - 2 \hat i - 2 \hat j[/tex]
[tex]\qquad \tt \rightarrow \: x = (- 4 \hat i - 2 \hat i) + ( - 4 \hat j - 2 \hat j)[/tex]
[tex]\qquad \tt \rightarrow \: x = - 6 \hat i -6 \hat j[/tex]
Henceforth, in order to get vector d, we need to add (-6i - 6j) in vector c
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Which expression simplifies to 5√3?
OA. √30
OB. 45
OC. √75
OD. 15
Re
Answer:
C)
Step-by-step explanation:
Prime factorize.
A) √30 is in its simplest form.
[tex]B) \sf \sqrt{45}= \sqrt{3*3*5} = 3\sqrt{5}\\[/tex]
[tex]C) \sqrt{75}=\sqrt{3*5*5}=5\sqrt{3}[/tex]
So, option C
The simplified expression of 5√3 is √75.
Hence, Option C is correct.
What is an mathematical expression?Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.
The given expression is,
5√3
So it can be written as,
⇒√5² x √3
⇒ √25 x √3
Since we know that,
Square roots are multiplied by both the whole number component and the square root component individually.
Therefore,
⇒√(25x3)
⇒√75
Thus,
5√3 = √75
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(05.06)
Which of the following points lie in the solution set to the following system of
inequalities? (1 point)
y<-3x+3
y
O (1.-5)
O (1.5)
O (5.1)
0 (-1.5)
Explain how to use a graph of the function f(x) to
find f(3).
Answer:
here you go with your answer
Emily invested $810 in an account paying an interest rate of
Answer:
complete this
Step-by-step explanation:
yeah do it
A population can be divided into two subgroups that occur with probabilities 60% and 40%, respectively. An event A occurs 30% of the time in the first subgroup and 50% of the time in the second subgroup. What is the unconditional probability of the event A, regardless of which subgroup it comes from
The unconditional probability of the event A, regardless of which subgroup it comes from is 38%
How to determine the probability?Let the events be represented as:
A ⇒ The event A happeningB ⇒ First subgroupC ⇒ Second subgroupSo, we have:
P(B) = 60%
P(C) = 40%
P(A | B) = 30%
P(A | C) = 50%
The probability is then calculated as:
P = P(A | B) * P(B) + P(A | C) * P(C)
Substitute known values
P = 30% * 60% + 50% * 40%
Evaluate the product
P = 38%
Hence, the probability is 38%
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Given the function f(x) below, evaluate 3f(-2) + f(1).
if z ≤-3
3z²-2z if -3
-2√2-1
if x > 0
7x-2
f(x) = 3x² - 2x
pls help
The value of the expression 3f(-2) + f(1) is 45
Piecewise functionsPiecewise functions are functions that has two or more equations. They can consists of parabola and straight line.
From the equations, the point where x is -2 is f(x) = 3x^2 - 2x
f(-2) = 3(-2)^2 - 2(-2)
f(-2) = 12 + 4
f(-2) = 16
Similarly the point where x = 1 is -2√x - 1
f(1) = -2√1 - 1
f(1) = -2 - 1
f(1) = -3
Substitute
3f(-2) + f(1) = 3(16) +(-3)
3f(-2) + f(1) = 48 - 3
3f(-2) + f(1) = 45
Hence the value of the expression 3f(-2) + f(1) is 45
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Solve for w.
−16w-3 = 5w²
Answer:
w = -1/5
OR
w = -3
Step-by-step explanation:
Given equation:
−16w-3 = 5w²
Solution:
Subtracting 5w^2 from both sides,we get
-16w-3-5w² = 5w² - 5w²-5w²-16w-3=0Factor the LHS of this equation using middle term factor:
(-5w²-1)(w-3)Now,
[tex]( - 5w - 1) = 0 \: \: \: \: \: \: \: \: ...(1)[/tex][tex](w - 3) = 0 \: \: \: \: \: \: \: \: \: \: ... (2)[/tex]Solving for equation 1:
[tex] - 5w = 0 + 1[/tex][tex] - 5w = 1[/tex][tex] \boxed{w = - \cfrac{1}{5} }[/tex]Solving for equation 2:
[tex]w - 3 = 0[/tex][tex]w = 0 - 3[/tex][tex] \boxed{w = - 3}[/tex][tex] - 16w - 3 = 5 {w}^{2} \\ \\ 0 = 5 {w}^{2} + 16w + 3 \\ \\ 5 {w}^{2} + 16w + 3 = 0 \\ \\ 5 {w}^{2} + w + 15w + 3 = 0 \\ \\ (5 {w}^{2} + w) + (15w + 3) = 0 \\ \\ w(5w + 1) + 3(5w + 1) = 0 \\ \\ (w + 3)(5w + 1) = 0. [/tex]
The value of w is -3 and -1/5 .
Your checking account is off $150 because the Bank’s statement says you have $750 and you think you have $900. We find you made two mistakes. You forgot to write in a Deposit of $100 and you forgot to write in your Rent check.
Can you tell me how much the RENT check is (In terms of dollars)?
The amount of RENT forgot to write is $ 50.
What is Transaction?
A transaction is a completed agreement between a buyer and a seller to exchange goods, services, or financial assets in return for money.
Here, Total expected amount = $ 900
Actual amount = $ 750
Deposit forgot = $ 100
Amount of RENT = 900 - (750 + 100)
= 900 - 850
= $ 50
Thus, The amount of RENT forgot to write is $ 50.
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suppose a triangle has sides a, b, and c and the angle opposite the side of length a is acute what must be true?
A. b2+c2>a2
B. a2+b2
C. b2+c2
D. a2+b2=c2
The true statement about the triangle is (a) b^2 + c^2 > a^2
How to determine the true inequality?The sides are given as:
a, b and c
The angle opposite of side length a is an acute angle
The above means that:
The side a is the longest side of the triangle.
The Pythagoras theorem states that:
a^2 = b^2 + c^2
Since the triangle is not a right triangle, and the angle opposite a is acute.
Then it means that the square of a is less than the sum of squares of other sides.
This gives
a^2 < b^2 + c^2
Rewrite as:
b^2 + c^2 > a^2
Hence, the true statement about the triangle is (a) b^2 + c^2 > a^2
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One number is six times another number. Determine the two numbers if the sum of their reciprocals is 7/24
.
Answer:
x=24, y=4
Step-by-step explanation:
x=6y
1/x+1/y=7/24,
1/6y+1/y=7/24
1/6y+6/6y=7/24
(1+6)/6y=7/24
7/6y=7/24, then
6y=24
y=24/6
y=4
x=6y=6*4=24
The weight of a cat is normally distributed with a mean of 9 pounds and a standard deviation of 2 pounds. Using the empirical rule, what is the probability that a cat will weigh less than 11 pounds?
If the value of the z-score is 1. Then the probability that a cat will weigh less than 11 pounds will be 0.84134.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The weight of a cat is normally distributed with a mean of 9 pounds and a standard deviation of 2 pounds.
Then the probability that a cat will weigh less than 11 pounds will be
The value of z-score will be
z = (11 – 9) / 2
z = 1
Then the probability will be
P(x < 11) = P(z < 1)
P(x < 11) = 0.84134
Thus, the probability that a cat will weigh less than 11 pounds will be 0.84134.
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how do i do this? i need to factor it conpletely with any method that goes with it
Jose rides his bike for 5 minutes to travel 8 blocks he rides for 10 minutes to travel 16 blocks which value will complete the table
Using the unit rate, the missing values that completes the table are:
A = 5; B = 15; C = 40
How to Find Unit Rate?Unit rate (m) = change in y/change in x.
5 minutes for 8 Blocks (5, 8) and 10 minutes for 16 blocks (10, 16)are given.
Unit rate (m) = (16 - 8)/(10 - 5) = 8/5
An equation that will define the function is, y = 8/5x. Use it to complete the table.
Find A (y) when x is 5:
y = 8/5(5) = 8
The value of A is: 5
Find B (x) when y is 24:
24 = 8/5(x)
5(24) = 8x
120 = 8x
120/8 = x
15 = x
The value of B is: 15
Find A (y) when x is 25:
y = 8/5(25) = 40
The value of C is: 40
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Evaluate the function when x = - 2, 0 and 5.
[tex]h(x) = - x - 7 \\ \\ when \: x \: is \: - 2 \\ h(x) = - ( - 2) - 7 \\ h(x) = 2 - 7 \\ h(x) = - 5 \\ \\ when \: x \: is \: 0 \\ h(x) = 0 - 7 \\ h(x) = - 7 \\ \\ when \: x \: is \: 5 \\ h(x) = - 5 - 7 \\ h(x) = - 12[/tex]
The side of an equilateral triangle is given as 8cm, correct to the nearest centimeter. What is the possible least lenght of its perimeter?
Answer:
An equilateral triangle is a triangle with all 3 sides the same in size.
If one side is 8cm, then 8x3=24 cm
The perimeter is possibly 24 cm.
The table shows results of an experiment that was replicated.
Which best describes the data?
They are precise and reproducible.
They are precise but not reproducible.
They are accurate and reproducible.
They are accurate but not reproducible.
The option that best describes the experiment is accurate and reproducible.
What option describes the data?All the values from the experiment are close in value to the accepted value. This indicates that the experiment is accurate. Two experiments yield the same values. This indicates that the experiment is reproducible.
Here is the table used in answering the question:
Accepted Value: 130
Experiment 1 129
Experiment 2 131
Experiment 3 129
Experiment 4 132
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Answer:
(A)They are precise and reproducible
Step-by-step explanation:
what is the answer for this question
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Determine each segment length in right triangle . Triangle ABC with right angle marked at vertex B. Side AC, opposite vertex B, is labeled 14. Dashed segment is drawn from vertex B to point D on side AC. Angle BDA is marked right angle. Angles A and C both marked 45 degrees. Segment AD is labeled 7. (dragged tiles) 7(squareroot)3 7(square root) 7. 14. 14(squareroot)3. 14(square root)2
The segment length is 14 (square root)2
Given that Triangle ABC is right angle triangle
The vertex marked is B where side AC is the hypotenuse
The side of AC is at Vertex B is 14
The dash segment from vertex B to point D on side AC
Angle BDA is marked right angle .
Angles A and C both marked 45 degrees.
As shown in diagram
Triangle ABC is drawn according to the statement where B is vertex
The side lengths are 14
Now to find Another side length that is x
So , the equation formed is
x*cos45 = 14
x/√2 = 14
x = 14√2
Hence the length of the segment is 14√2
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Answer:
Step-by-step explanation:
The segment length is 14 (square root)2
Given that Triangle ABC is right angle triangle
The vertex marked is B where side AC is the hypotenuse
The side of AC is at Vertex B is 14
The dash segment from vertex B to point D on side AC
Angle BDA is marked right angle .
Angles A and C both marked 45 degrees.
As shown in diagram
Triangle ABC is drawn according to the statement where B is vertex
The side lengths are 14
Now to find Another side length that is x
So , the equation formed is
x*cos45 = 14
x/√2 = 14
x = 14√2
Hence the length of the segment is 14√2
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Which expression is equivalent
I need answer as fast as possible please.
Step-by-step explanation:
a=110. x,55
y=180-(x+75)=50
w,75
b,110
x,40
y,30
Angelina's family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and
hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
A. The ordered pair (-3, 6) is viable.
B. The ordered pair (7, 2) is viable.
C. The ordered pair (15,-7) is viable.
D. The ordered pair (18,3) in non viable
The ordered pair (7,2) is viable and Option B is the correct answer.
What is Relationship ?Relationship between variables defines the way one variable is dependent upon the other variable.
It is given that x is the number of visitors and y is the number of winners,
It has to be seen and chosen that which ordered pair makes sense
The ordered pair is viable if the no. of visitor is positive and more than the number of winners.
Therefore ordered pair (7,2) is viable and Option B is the correct answer.
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Re-write the quadratic function below in Standard Form y = −(x−4) (x+3)
Answer:
y=-x²+8x+16
Step-by-step explanation:
y= -3(x – 4)(x – 4)
We multiply
y=(-3x+12)(x-4)
Expand the bracket
y= x(-3x+12) -4(-3x+12)
y=-3x²+12x
-4(-3x+12)
+12x+48
y=-3x²+24x+48
Divide by 3
y=-x²+8x+16
If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)?
Eleven-halves
StartFraction 27 Over 10 EndFraction
160
270
The value of (StartFraction f Over g EndFraction) (5) will be 270
Fraction is a number that is stated as a quotient in mathematics, when the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
Given f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction
We have to find the value of (StartFraction f Over g EndFraction) (5)
Given that the functions f and g are defined by f(x) = 7 + 4x and g(x) = 1/2x
First find the value of (f/g)(x):
(f/g)(x) = (7+4x)/(1/2x)
=(7+4x)(2x)
=7(2x)+4x(2x)
(f/g)(x) = 14x + 8x^2
Put x=5 in the above function,
(f/g)(5) = 14(5) + 8(5)^2
= 70+8(25)
= 70+200
(f/g)(5) = 270
Hence value of (StartFraction f Over g EndFraction) (5) will be 270
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Answer: D.270
Step-by-step explanation:
just got it right on unit test on edge
area of rectangle = l×b find area of rectangle in sq cm
a) l=7cm,b=4cm
Answer:
[tex]28{cm}^{2} [/tex]
Step-by-step explanation:
we know
area of rectangle=l*b=(7*4)sq cm=28sq cm
Need help with this ASAP if you could that would help!!
Answer:
the distance between DE is 2
The distance of EF is 5
The distance of FD is [tex]\sqrt{29}[/tex]
Perimeter is 7+[tex]\sqrt{29}[/tex]
Step-by-step explanation:
Distance of DE
[tex]\sqrt{(-3-(-3))^2+(3-1)^2}[/tex]
sqrt([tex](-3+3)^2+(2)^2[/tex])
sqrt([tex](0)^2+4[/tex])
[tex]\sqrt{4}[/tex]
=2
Distance of EF
[tex]\sqrt{(2-(-3))^2+(3-3)^2}[/tex]
Solve that like DE and it equals 5
Distance of FD
[tex]\sqrt{(2-(-3))^2+(3-1)^2}[/tex]
equals to [tex]\sqrt{29}[/tex]
P=DE+EF+FD
P=2+5+[tex]\sqrt{29}[/tex] = 7+[tex]\sqrt{29}[/tex]
what is the slope of the line that is perpendicular to the line 3y=-5x+21
a -5/3
b -3/5
c- 3/5
d- 5/3
Step-by-step explanation:
the slope is the factor of x in an equation
y = ax + b
we have here
3y = -5x + 21
to get to the general format above we need to divide everything by 3 :
y = -5/3 x + 7
so, we see, the slope is -5/3.
the perpendicular (angle of 90°) slope is the original slope turned upside-down and with flipped sign :
3/5
so, I guess the correct answer option is c.
but it is not clear what you wrote there, as there is a "-" sign somehow in all 4 answers.
express 3256 as the product of power of 10
Answer:
3.256*10³2
Step-by-step explanation:3.256 * 1000 = 3256 1000 =10³
If three standard six-sided die were rolled with the numbers showing on each recorded, how many equally likely outcomes would be in the sample space?
Answer:
216
Step-by-step explanation:
You are rolling three die three times
a die has six sides
to obtain the sample space
we would have to multiply 6 x 6 x 6
which could account for the three roles which would be equivalent to the sample space
6^3
