Answer:
-3 3/4
Step-by-step explanation:
So we have:
-1 1/4 + (-2 1/2)
Before solving this, lets just clean it up.
First off, since we know that a + and - sign equals a - sign, we can rewrite it as:
-1 1/4 - (2 1/2)
We need to also get a common denominator, which would be 4. The first fraction already has a denominator of 4, so it doesnt change. However, the second fraction is 1/2, and we need to multiply both sides by 2 to change the denominator from 2 to 4:
-1 1/4 - (2 2/4)
Now lets solve:
I will do the fraction seperate from the whole number to make it simpler:
-1 - 2
A negative subtracted makes it a larger negative so:
-3
-1/4 - 2/4
Again, a negative subtracted makes it a larger negative:
-3/4
Now recombine the numbers:
-3 3/4
So this is your answer.
Hope this helps!
Which sign makes the statement true?
5.01 x 10-3 ? 0.00105
Answer:
47.1 > .00105
Step-by-step explanation:
Given :
5.01×10-3 ? 0.00105
Now,
5.01×10-3 ? 0.00105
50.1-3?0.00105
47.1?0.00105
From the above equation, we can say that 47.1 is greater than 0.00105
Therefore, 47.1 > .00105
find the equation of Best fit for the data in the table
Answer:
The equation of the line is [tex]y = 2\cdot x + 3[/tex].
Step-by-step explanation:
The data of the table represents a line, also known as a linear function or a first order polynomial if and only if the following property is satisfied:
[tex]\frac{y_{i+1}-y_{i}}{x_{i+1}-x_{i}} = m, m \in \mathbb{R}[/tex] (1)
Now we proceed to check if the table represents a line instead of another kind of function:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{7-5}{2-1} = 2[/tex]
[tex]\frac{y_{3}-y_{2}}{x_{3}-x_{2}} = \frac{9-7}{3-2} = 2[/tex]
[tex]\frac{y_{4}-y_{3}}{x_{4}-x_{3}} = \frac{13-9}{5-3} = 2[/tex]
[tex]\frac{y_{5}-y_{4}}{x_{5}-x_{4}} = \frac{15-13}{6-5} = 2[/tex]
Hence, the data represents a line. From Geometry we know that the equation of the line can be obtained by knowing two distinct points. The formula of the line is described below:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - y-Intercept.
If we know that [tex](x_{1}, y_{1}) = (1, 5)[/tex] and [tex](x_{2}, y_{2}) = (6, 15)[/tex], then we have the following system of linear equations:
[tex]m + b = 5[/tex] (1)
[tex]6\cdot m + b = 15[/tex] (2)
The solution of the system of linear equations is: [tex]m = 2[/tex], [tex]b = 3[/tex].
The equation of the line is [tex]y = 2\cdot x + 3[/tex].
Divisibility rules for 2, 5, and 10
Which numbers are divisible by 10?
A)222
B)185
C)847
or none of these
Answer:
none of these
Step-by-step explanation:
A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.
Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.
y=x2+6x+4
y=x
Answer:
x= -2
y= -2
Step-by-step explanation:
y = 8x + 14
y = x
Now by subtraction of these two equation,
So 0 = 7x + 14
x = -2
y = -2
Divisibility rules for 2, 5, and 10
Which numbers are divisible by 5?
A)222
B)185
C)847
or none of these
Answer:
185 is divisible by 5.
Step-by-step explanation:
Anything that ends in a 0 or 5 can be divisible by 5.
Answer:
Hello There!!
Step-by-step explanation:
The answer is B)185 because a number divisible by 5 ends in 0 or 5.
hope this helps,have a great day!!
~Pinky~
Find the perimeter of the given image. Round your answers to the
nearest tenth.
Answer:
52.6 mm
Step-by-step explanation:
split this figure and form one square and semi circle
for semicircle
radius = 4mm
find diameter
radius = diameter /2
4*2 = diameter
8 mm = diameter
now find perimeter of square
POS = 4l
=4*8
=32 mm
perimeter of semicircle= πr + 2r
=3.14^4 + 2*4
=12.56 + 8
=20.56 mm
area of the figure = perimeter of square + perimeter of semicircle
=32 + 20.56 mm
=52.56 mm
=52.6 mm
split ur figure as shown below
Answer:
28.6 (by the assumption that 4 is the radius)
Step-by-step explanation:
4 is the radius.
Circumference of a circle is πd or 2πr
But its a semi circle so our equation will be 2πr/2 + d
So subsitute, 2* π*4/2 + 8
=8 π/2 + 8
=4 π + 8
=20.6
This is only the circumference of the semi-circle
Now for the square, perimeter is equal to 4*S
so from the equation above we know that the diameter is 8(d=2r). The diameter is also one side of the square. Since squares have all sides equal, 4*8= 32
Now add
32+20.6
52.6
Round
52.6
All this is on the assumption that 4 is the radius.
Can someone help me please
Answer:
yes what would u like help with
A 12 pack of lemonade costs $5.40.how much do each lemonade costs?
A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y represents the larger number and x represents the smaller number, which equations model the situation? Check all that apply.
y=3x-2
3x-y=2
3x-y=-2
y=2-3x
y=2(x+3)
Answer:
1,2, and 5
Step-by-step explanation:
y=2*(3+x)
y=3x-2
3x-y=2
What is the center of the circle shown below?
Answer:
L
Step-by-step explanation:
Here, we want to get the circle center
The diameter is a chord that passes through the center of the circle
looking at the given diagram, we can see chords SM and MN
Between this two, we can see that it is SM that passes through the center
Looking at the diagram, we can conclude that L is the circle center where the diameter SM passes
What is the solution of the following quadratic function?
Please help need answer. NO LINKS
Answer:
Answer choice C) 3a-3
Step-by-step explanation:
Your perimeter is of (10a-6). The first step would be multiply 2a by 2 since you have to sides. Which would give you to 4a. Next you will have to subtract 4a from (10a-6). This would give you 6a-6. Finally divide by two and you will get 3a-3.
Please help I’ll give brainliest
help help helpppppppppp
Answer:
28 answer write ✍️ now ok
Please help! Will give brainliest! Lucy is going to spin the spinner 85 times. the spinner is divided into equal sections
We can say 85 because we will spin it 85 times and it can happen we will not C
Not sure at all ....
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 72 and 5, respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 68. Compute the trainee's z-score.
Answer:
-0.8
Step-by-step explanation:
Given that :
Mean of test score, m = 72
Standard deviation of test score, σ = 5
Trainee's score, x = 68
Since the distribution is Symmetric ;
The Zscore Cann be calculated thus :
Zscore = (x - mean) / standard deviation
Zscore = (68 - 72) / 5
Zscore = - 4 / 5
Zscore = - 0.8
it takes one man four days to do a job if four man did that same job how many days will it take?
Answer:
16days
Step-by-step explanation:
1 man =4days
4men=4men/1man×4days
=4×4days
=16days
Answer:
1
Step-by-step explanation:
averaging
Answer plsssss………………
Answer:
The corresponding angles theorem works for cases where we have two parallel lines intersecting another line.
Two lines are parallel if, at any point, the distance between these two lines is always the same.
Now, if we look at the image, we can see that the distance between the two horizontal lines changes (is smaller at the right and larger at the left)
Thus, these lines are not parallel.
Then the corresponding angles theorem can not be used here, and we have that:
∠9 ≠ ∠10
What's the area of the entire shape?
Answer:
30
Step-by-step explanation:
you need to multiply its length by its with
How do you solve x^2+5x-14=0
Answer:
x = -7 , x = 2
Step-by-step explanation:
[tex]x^2 + 5x -1 4= 0\\\\x^2 + 7x -2x - 14 = 0\\\\x(x + 7) -2(x + 7) = 0\\\\(x+7)(x-2) = 0\\\\x+ 7 = 0 , \ x - 2 = 0 \\\\x = - 7 , \ x = 2[/tex]
Answer:
x = - 7, x = 2
Step-by-step explanation:
Solve by factoring , that is
x² + 5x - 14 = 0
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
2
3
4
5
8
10
TIME REMAINING
49:29
C D
Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually.
What multiplicative rate of change should Hal use in his function?
0.02
0.98
01.02
1.98
Save and Exit
Answer: .98
Step-by-step explanation:
What is the distance between the points (5,0) and (2,1)?
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
a^2+b^2=c^2
3^2+1^2=c^2
9+1=c^2
c^2=10
c= [tex]\sqrt{10}[/tex]
if f(x)=3^x+10x and g(x)=5x-3, find (f-g)(x)
Answer:
[tex]3^x+5x+3[/tex]
Step-by-step explanation:
Given that,
[tex]f(x)=3^x+10x[/tex]
and
[tex]g(x)=5x-3[/tex]
We need to find (f-g)(x).
We know that,
(f-g)(x) = f(x)-g(x)
[tex]=3^x+10x-(5x-3)\\\\=3^x+10x-5x+3\\\\=3^x+5x+3[/tex]
So, the value of (f-g)(x) is [tex]3^x+5x+3[/tex].
Help me pls quick with the right answer
Answer:
Yes
Step-by-step explanation:
Every time the sugar goes up by 1/3 or by three it keeps the same raito
which functions have a range of.. SELECT MORE THAN 1
Answer:
The 3rd and the 5th
Step-by-step explanation:
The graphs of the 3rd and the 5th functions are straight lines
The 1st and 2nd are parabolas
The 4th is an exponential
You must look at the graph: it shall include all the real values for the y coordinate
use counters to add 2+ -1.
Answer:
the answer is 1
Step-by-step explanation:
2+(-1)
2-1
1
+ and - always result in - so +(-1) is -1 and 2-1 is 1.
Answer:
1
Step-by-step explanation:
Negative 1 is used as a minus sign. I canceled the plus and now the equation is 2-1
Math help please show work thanks
Answer:
The curve surface area(CSA) of a cylinder is 2πrh.
Since diameter=1.5 in.
radius=diameter/2
=1.5/2 in.
=0.75 in.
And, the height of the bottle is 5 in.
Now,
CSA=2πrh
=2π*0.75*5 in^2
=15π/2 or 23.56 in^2
The size of the label needed to cover the entire bottle is 15π/2 or 23.56 in^2.
Calculate the Kinetic Energy when the mass of the car is 1,200kg and the speed
is 11.11 m/s.
Answer:
74059.3 J
Step-by-step explanation:
KE = I/2mv²
KE = 1/2(1200)(11.11)²
KE = 1/2(1200)(123.4321)
KE = 74059.26 J
Answer
74059.26J
Explanation
Formula
EK=mv^/2
m=1200kg
v=11.11m/s
E=1200kg×(11.11m/s)^/2
E=74059.26J
Solve the equation. Round to the nearest thousandth.
[tex] - 5 + 2ln(3x) = 5[/tex]
Answer:
[tex] x \approx \: \boxed{49.471}[/tex]
Step-by-step explanation:
[tex] - 5 + 2In(3x) = 5 \\ 2In(3x) = 5 + 5 \\ 2In(3x) = 10 \\ In(3x) = \frac{10}{2} \\ In(3x) = 5 \\ \implies \: 3x = {e}^{5} \\ \implies \: x = \frac{ {e}^{5} }{3} \\ x = \frac{148.41316}{3} \\ x = 49.4710533 \\ x \approx \: \boxed{49.471}[/tex]
Answer:
x= e^ 5 / 3 OR 49.471
Step-by-step explanation:
-5=2In (3x)=5
determine the defined range
-5+2In (3x) = 5, x>0
move the constant to the right- move the five to the right and change the sign
2In (3x)= 5+5
calculate- add them together
2In (3x)=10
divide both sides by 2
In (3x)=5
covert into exponential form ( x=e^5)
3x= e^5
divide both sides by 3
x=e^5/3 , x> 0
(check if the solution is in the defined range) which is the answer
if 1/3 of a number is added to 1/5 of the same number.the result is 8. find the number. I am
Answer:
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
