Multiply (-1 13/14) x (1 5/9) what is the product? enter your answer in the box
Answers
Answer: -3
Step-by-step explanation:
turn mixed numbers into improper fractions, simplify, and solve- see attached
Answer:
-3
Step-by-step explanation:
to find the answer first turn both numbers into improper fractions
-1 13/14 becomes -27/14
1 5/9 becomes 14/9
now multiply them
\(\frac{-27}{14} * \frac{14}{9}\)
you can cancel out the 14s
\(\frac{-27}{1} * \frac{1}{9}\)
now divide 9 to the top of the first fraction and to the bottom of the second one
\(\frac{-3}{1} * \frac{1}{1}\)
now multiply
-3/1 is your answer
that is basically -3
Related Questions
Given f(x)=-x+2, find f(-5)
Answers
Answer:
7
Step-by-step explanation:
f(-5) means you have to plug -5 in for x.
f(x)=-x+2, so f(-5)=-(-5)+2=5+2=7
f(-5)=7
Answer:
Step-by-step explanation:
Simply plug -5 into the equation where an x is:
f(x) = -x + 2
f(-5) = -(-5) + 2
Two negatives make a positive so:
f(-5) = 5 + 2
f(-5) = 7
Hope this helps!
logx+5 64 = 2
Please help!!
Solve and round to the nearest 100th
Explain how
WILL GIVE BRAINIEST FIRST ANSWER
Answers
The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.
solve the equation logₓ(64) + 5 = 2, we can follow these steps:
Step 1: Move the constant term to the other side of the equation:
logₓ(64) = 2 - 5
logₓ(64) = -3
Step 2: Rewrite the equation in exponential form:
x^(-3) = 64
Step 3: Rewrite 64 as a power of x:
x^(-3) = x^6
Step 4: Set the exponents equal to each other:
-3 = 6
The equation -3 = 6 is not true, which means there is no real solution to the given equation.
Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.
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% of 50 = 57
Find the missing percent
Answers
1.14 * 50 = 57
set of numbers divisible by 3 from 5 to 25
Set-Bulider Notation
Roaster Method
Answers
Step-by-step explanation:
(6, 9, 12, 15, 18, 21, 24)
If f(x) = 3x +3, which of the following is the inverse of f(x)?
O
A. f-1(x) = 3(x-3)
5
OB. f-1(x) = 3(x+3)
5
O C. f-1(x) = 5(x+3)
3
O D. f-1(x) = 5(x-3)
3
Answers
The inverse function of f(x) = 3x + 3 is f-1(x) = 1/3x - 1
How to determine the inverse?The equation is given as:
f(x) = 3x + 3
Express f(x) as y
y = 3x + 3
Swap the positions of y and x
x = 3y + 3
Make y the subject
3y = x - 3
Divide by 3
y = 1/3x - 1
Replace y with the inverse function
f-1(x) = 1/3x - 1
Hence, the inverse function of f(x) = 3x + 3 is f-1(x) = 1/3x - 1
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Circle A passes through B and circle B passes through A. Given that AB = 3, find the area of the
shaded region common to both circles
Answers
Answer:
The answer is six I think
Given the following piecewise function . f(x)= 3 x &if x<0\\ x^ 2 -2&if 0<= x<3\\ 3x-4&if x>=3 Determine the solution of 4f * (1/2) + 2f * (3)
Answers
We have to calculate the value of:
\(4\cdot f(\frac{1}{2})+2\cdot f(3)\)We have to look for the value of f(1/2) and f(3) in the definition of f(x).
For f(1/2), x is 1/2 and is between 0 and 3, so f(x) is:
\(\begin{gathered} f(x)=x^2-2 \\ f(\frac{1}{2})=(\frac{1}{2})^2-2 \\ f(\frac{1}{2})=\frac{1}{4}-2 \\ f(\frac{1}{2})=\frac{1}{4}-\frac{8}{4} \\ f(\frac{1}{2})=-\frac{7}{4} \end{gathered}\)For f(3), it falls in the interval for x ≥ 3, so f(3) can be calculated as:
\(\begin{gathered} f(x)=3x-4 \\ f(3)=3(3)-4 \\ f(3)=9-4 \\ f(3)=5 \end{gathered}\)Then, we can now calculate the value of the expression as:
\(\begin{gathered} 4f(\frac{1}{2})+2f(3) \\ 4\cdot(-\frac{7}{4})+2\cdot5 \\ -7+10 \\ 3 \end{gathered}\)Answer: the expression is equal to 3.
Kathy invested $3000 at a rate of 7% for 4 years and 6 months. Find the amount she got back.
Answers
The amount Kathy got back is $3945.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The amount invested by Kathy(P) = $3000
The rate at which the amount is invested (r) = 7% per annum
Time for which the amount is invested (t) = 4 years and 6 month = 4.5 years
the simple interest calculated by
Simple Interest = ( 3000 × 7 × 4.5)/100
= 94500/100
= 945
So , the interest is $945 .
So , the amount that Kathy get = Principle + Interest
= 3000 + 945
= 3945
Hence, the amount Kathy got back is $3945.
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In 1950, a U.S. population
model
was y = 151. (1.013)^t-1950 million
people, where t is the year. What did
the model predict the U.S. population
would be in the year 2000?
Answers
In a case whereby In 1950, a U.S. population model was y = 151. (1.013)^t-1950 million people, where t is the year, the model predict the U.S. population would be 288 million in the year 2000.
What is population model ?Population models are mechanical theories that link alterations in population structure and density to responses at the individual level (life history features in eco-evolutionary theory or vital rates in demographic theory).
The model was given as y=151x(1.013)^t-1950
where the future time t = 2000
Then we can substitute the given year 2000 as the value of 't'
then we will have y=[151x(1.013)^(2000-1950)] = 288 million
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What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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HELPPPP HELP HELP HELP HELPPPPPPPPPP
Answers
Answer:
x = -7
Step-by-step explanation:
Use the distibutive property on both side:
Right side:
4 ( 1 - x )
( 4 x 1 ) + 4 x -X )
4 - 4x
Left side:
-3 ( x + 1 )
( -3 x X ) + ( -3 x 1 )
-3x -3
4 - 4x + 2x = -3x - 3
Combine like terms:
( 2x + ( -4x ) ) + 4 = -3x - 3
-2x + 4 = -3x - 3
Add 3 to each side:
-2x + 7 = -3x
add 2x to each side:
7 = -x
Divide each side by -1:
-7 = x
A point has been translated left and down. Based on the graph, which could be true? Check all that apply. A is the image of C. A is the image of D. B is the image of D. B is the image of E C is the image of A. C is the image of D. D is the image of E. please please hurry with the answers.
Answers
From the image that we have here, the translation of the image would be:
B is the image of D. B is the image of E.C is the image of D.What is translation in mathematics?In the field of mathematics, this is the type of transformation which would take points in an image and move it in similar distance and direction.
It has to do with the movement of points in an horizontal manner or in a vertical manner.
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A rectangle has a perimeter of 36 feet and a base of 14 feet. What is the height?
Answers
Answer:
The answer is 4.
Step-by-step explanation:
If this shape has a perimeter of 36, and the base has a length of 14, you subtract 36 - 28 because there are two sides that have a length of 14. You get 8 by subtracting 36 - 28, and divide the answer by 2.
What is the equation of a vertical hyperbola with a center at (6, 4), a transverse axis of 6, and a conjugate axis of 10.
Please help thank you :)
Answers
((y - k)^2 / a^2) - ((x - h)^2 / b^2) = 1
Here, the center is (6, 4), the transverse axis is 6, and the conjugate axis is 10.
Since this is a vertical hyperbola, the transverse axis is the axis that is parallel to the y-axis. Therefore, a = 3.
Similarly, the conjugate axis is the axis that is parallel to the x-axis. Therefore, b = 5.
The center is (6, 4), so h = 6 and k = 4.
Substituting these values in the standard equation, we get:
((y - 4)^2 / 3^2) - ((x - 6)^2 / 5^2) = 1
Simplifying, we get:
((y - 4)^2 / 9) - ((x - 6)^2 / 25) = 1
Therefore, the equation of the vertical hyperbola with center at (6, 4), a transverse axis of 6, and a conjugate axis of 10 is:
((y - 4)^2 / 9) - ((x - 6)^2 / 25) = 1
a wooden cube has 6 sides. The sides are labeled A, B, C, D, E, and F. What is the probability of rolling a B? Write your answer as a fraction.
Answers
Answer:
1/6
Step-by-step explanation:
You have six choices and you want to pick only 1 of those choices.
1/6
\(\displaystyle\frac{1}{6}\)
Step-by-step explanation:Probability explains the likelihood of an event occurring. The outcome you are finding the probability for is the successful outcome. The sample size is the total number of possible outcomes.
Simple Probability
Simple probability is when there is only one single event. In this situation, the cube is only being rolled once, so it's a simple probability question. To solve this question as a fraction, the numerator should be the number of successful outcomes and the denominator should be the sample size.
Solving for P(B)
Since there are 6 sides with 6 letters, the sample size is 6. So, 6 should be the denominator. We are finding the probability of "B", which means there is 1 successful outcome. Thus, the numerator should be 1.
This means as a fraction the probability is \(\frac{1}{6}\).
A manufacturer of widgets finds that the production cost, C, in dollars per unit is a function of the number of widgets produced. The selling price, S, of each widget in dollars is a function of the production cost per unit.
C(x) = –0.1x2 + 100
S(C) = 1.4C
What is the selling price per widget as a function of the number of widgets produced, and what should the selling price be if 15 widgets are produced?
C(S(x)) = –0.196x2 + 100; $108.64
C(S(x)) = –0.196x2 + 100; $55.90
S(C(x)) = –0.14x2 + 140; $144.41
S(C(x)) = –0.14x2 + 140; $108.50
Answers
Answer:
D
Step-by-step explanation:
Answer:
D-S(C(x)) = –0.14x2 + 140; $108.50
Step-by-step explanation:
Select the true statement.
Answers
1 1/2 yards = 54 inches.
Answer: D) 54 inches = 1 1/2 yards
explanation: 1 1/2 yards = 54 inches.
What is y/x = 8 proportional to?
Answers
Answer:
y is directly proportional to 8
while x is inversily proportional to 8
Find the equation of the line that has the given properties. Write the equation in slope-intercept form, if possible. 23) Contains (-2, -5); parallel to y=-1/2x-10
Answers
Answer:
y=-1/2x-6.
Explanation:
Comparing the given line with the slope-intercept form (y=mx+b):
\(y=-\frac{1}{2}x-10\implies\text{Slope,m}=-\frac{1}{2}\)Two lines are parallel if they have the same slope.
Thus, the new line is required to have a slope of -1/2 and pass through the point (-2,-5).
Using the point-slope form:
\(\begin{gathered} y-y_1=m(x-x_1)\text{ where:} \\ Slope,m=-\frac{1}{2} \\ Point,(x_1,y_1)=(-2,-5) \end{gathered}\)Substitute the points:
\(\begin{gathered} y-(-5)=-\frac{1}{2}\lbrack x-(-2)\rbrack \\ y+5=-\frac{1}{2}(x+2)_{} \end{gathered}\)Finally, we express it in the slope-intercept form:
\(\begin{gathered} y+5=-\frac{1}{2}x-1 \\ y=-\frac{1}{2}x-1-5 \\ \implies y=-\frac{1}{2}x-6 \end{gathered}\)The equation of the line that has the given properties is y=-1/2x-6.
The sum of fifteen times a number and thirty is less than the difference of ten times a number and forty-five
Answers
Answer:
15x+30<10x-45
Step-by-step explanation:
Number graph ranging from negative four to four on the x and y axes. A line with a positive slope is drawn on the graph, passing through the labeled point A at (zero, two) and the labeled point B at three, three). What is the slope of the line passing through points A and B? Responses −3 − 3 , −15 − 1 5 14 1 4 13
Answers
The slope of the line passing through points A and B is 1/3.
The formula for the slope of a line to find the slope passing through points A and B. The formula is:
slope = (change in y) / (change in x)
Let's label the coordinates of point A as (x₁, y₁) and the coordinates of point B as (x₂, y₂).
Then, substitute the values and calculate the slope:
slope = (y₂ - y₁) / (x₂ - x₁)
slope = (3 - 2) / (3 - 0)
slope = 1 / 3
Therefore, the slope of the line passing through points A and B is 1/3.
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40 people attended the play. 15 were women, 10 were men, and 15 were children. what fraction were men?
Answers
Answer:
10/40 were men, or simplified the amount is 1/4 of the total is men
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
Answers
The length of side AB in right angled triangle ABC will be 48 cm.
What is a right angled triangle?Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.
Given,
∠B= 90°, AC = 96 cm, ∠C = 30°
Now, we know, Trignometric ratio sin θ in triangle can be given by-:
sin θ = \(\frac{perpendicular}{hypotenuse}\)
From given figure,
Perpendicular= AB= ?
and Hypotenuse= AC = 96
and θ= 30°
Hence,
sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)
\(\frac{1}{2} = \frac{AB}{96}\) (∵ sin 30°= 1/2)
\(AB=\frac{96}{2}\)
\(AB= 48 cm\)
Thus, AB= 48 cm
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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?
5/9+ (-4/5)
A. 1/4
B. 11/45
C. -9/14
D. -11/45
PLEASE HELP ILL GIVE BRAINLIST
Answers
Enter the value of (-3)(2)(3).
Answers
Answer:
-18
Step-by-step explanation:
-3 × 2 = -6
-6 × 3 = -18
WHATS THE EQUATION & TELL HOW YOU GOT IT !!
PLEASE HELP !! ILL GIVE BRAINLIEST!! 100 POINTS !! NO FAKE ANSWERS.
Answers
Answer: 3x+18=5x-2
Step-by-step explanation:
3x+ 18x=5x-2
(3x+18x)=5x-2
21x=5x-2
5x 5x
16x=-2
16. 16
X= -1/8
A computer can sort x objects in t seconds, as modeled by the function
below:
t=0.003.x² +0.001.x
How long, in seconds, will it take the computer to sort 12 objects?
Round your answer to the nearest hundredth of a second.
Answers
We are given that, a computer can sort x objects in t seconds, and the below relations is satisfied for each x and t
t = 0.003 x² + 0.001 xFor 12 objects, we can substitute x = 12
⇒ t = (3/1000) (12)² + (1/1000) 12
⇒ t = (12/1000) (3 × 12 + 1)
⇒ t = (12×37/1000)
⇒ t = 444/1000
⇒ t = 0.444
⇒ t ≈ 0.40 seconds (2 dp)
Please help. Calculate the loading dose, in mg of heparin for a 5-year-old with a total body weight of 40 lbs., with 10% body fat (that is, 90% of that 40 lbs. is lean body mass). You may also be interested to know that 1 kg = 2.20 lbs. Think about the steps you need to go through to find the correct dose. Remember, first you need to find the dosing mass.
Answers
Answer:
≈ 3 mg
Step-by-step explanation:
Dose rate of heparin is 0.16 mg per kg of DMDosing mass calculation formula is:
DM = LBM + (TBM - LBM)/3, where LBM = lean body mass, TBM = total body massTBM = 40 lbsBody fat = 10%LBM = 90% of TBM = 0.9*TBMDosing mass
DM = 40 *0.9 + ( 40 - 40*0.9)/3 = 37.33 lbsConverting to kg
1 kg = 2.2 lbsDM = 37.33 lbs /2.2 = 16.97 kgLoading dose
dose = DM * dose rate per kgdose = 16.97 kg *0.16 mg/kg = 2.7152 mg ≈ 3 mgThe figure shows the dimensions of a rectangular storage room. Darnell
has boxes that are cubes with edges 1 1/2 ft long. What is the maximum
number of boxes that Darnell can fit in the storage room? Explain.
10 ft
6 ft
8 ft
Answers
Сумма пяти последовательных натуральных нечетных чисел равна 9975 Найдите эти числа