9514 1404 393
Answer:
D. -16/5
Step-by-step explanation:
-3.2 = -32/10 = -16/5 . . . . matches choice D
_____
More detail
Any finite decimal can be converted to a fraction by considering the place value of the digits.
3.2 = 3×1 + 2×(1/10)
= 3 + 2/10 = (30 +2)/10 = 32/10
Then common factors can be cancelled from numerator and denominator.
32/10 = (2·16)/(2·5) = 16/5
The negative sign can be applied as required.
-3.2 = -(3.2) = -(16/5) = -16/5
QRST is a rectangle. If RT = 4x - 16 and SQ = x + 5, find the value of x.
Answer:
The value of x is 7.
Step-by-step explanation:
Both RT and SQ are diagonals of the rectangle, so they have the same measure.
We have that:
[tex]RT = 4x - 16, SQ = x + 5[/tex]
Since they are equal:
[tex]4x - 16 = x + 5[/tex]
[tex]4x - x = 5 + 16[/tex]
[tex]3x = 21[/tex]
[tex]x = \frac{21}{3}[/tex]
[tex]x = 7[/tex]
The value of x is 7.
I need help converting 3/5 into a decimal
Answer:
3.5
Step-by-step explanation:
3/5 in a decimal is 3.5
I need help on the attached problem ASAP!
Answer:
[tex]\displaystyle \sin A=\frac{1}{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.
We are given a triangle with side lengths of 3, [tex]\sqrt{72}[/tex], and 9, where 9 is the hypotenuse. Before applying the trigonometric ratios, we must check if the triangle is right, and the Pythagora's theorem is satisfied:
[tex]9^2=3^2+(\sqrt{72})^2[/tex]
81=9+72=81
Now we're sure it's a right triangle, we apply the sine formula:
[tex]\displaystyle \sin A=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
The opposite leg to A is 3, and the hypotenuse is 9, then:
[tex]\displaystyle \sin A=\frac{3}{9}[/tex]
Simplifying:
[tex]\boxed{\displaystyle \sin A=\frac{1}{3}}[/tex]
What is the missing number in the series?
1, 16, 81, __, 625, 1296
Answer:
256
Step-by-step explanation:
We are given the series
1, 16, 81, __, 625, 1296
The missing number in the sequence is the fourth term
From the above sequence, we know that
1, 4², 9² , __, 25² , 36²
Difference between first term = 4 - 1 = 3
9 - 4 = 5
x - 9 = 7
x = 9 + 7 = 16
Hence, the fourth term = 16²
= 256
Which of the following correctly describes the Pythagorean theorem
1.The sum of the lengths of the legs of a right triangle is equal to the length of the hypotenuse.
2.The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
3.The product of the lengths of the legs of a right triangle is equal to the length of the hypotenuse.
4.The product of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
Answer:
2)The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
Step-by-step explanation:
(leg₁)² + (leg₂)² = (hypotenuse)²
WHAT’S 6 divided by 1 over 3?
Answer:
18
Step-by-step explanation:
6 divided by 1/3 is the same as 6x3 because you flip the second fraction when dividing fractions.
The questions above.
Answer:
k(3) = 37
Step-by-step explanation:
k(t) = 13t - 2
To find k(3), substitute 3 for t in the expression and evaluate the expression.
k(3) = 13(3) - 2
k(3) = 39 - 2
k(3) = 37
PLZ PLZ PLZ HELP! What is the 50th term in the arithmetic sequence -6,-1,4...?
You borrow 15,000 for three years at 10% how much will you owe in interest only
Answer:
4500
Step-by-step explanation:
15000/10 is 1500, 1500 x 3 = 4500
If m< XYZ= 136, solve for x
Answer:
x = 3
Step-by-step explanation:
We'd apply some properties of rhombus.
m<RZT = (10x - 8)°
m<ZRY = 90° (diagonals bisect at 90°)
m<ZYR = ½(m<XYZ) = ½(136) = 68°
m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)
(10x - 8) + 90 + 68 = 180
Solve for x
10x - 8 + 90 + 68 = 180
10x + 150 = 180
10x = 180 - 150 (subtraction property of equality)
10x = 30
Divide both sides by 10
x = 3
The value of x is 3
The calculation is as follows:m<RZT = (10x - 8)°
m<ZRY = 90° (diagonals bisect at 90°)
m<ZYR = ½(m<XYZ) = ½(136) = 68°
Now
m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)
(10x - 8) + 90 + 68 = 180
10x + 150 = 180
10x = 30
x = 3
Learn more: https://brainly.com/question/18269454?referrer=searchResults
Evaluate 0 with a 4 on top
9514 1404 393
Answer:
0
Step-by-step explanation:
0 to any positive power is 0.
0^4 = 0×0×0×0 = 0
PLEASE HELP
Where is this function decreasing?
The function is decreasing from x = □ to x = □
Answer:
The function is decreasing from x=1 to x=8
Step-by-step explanation:
For every 5 cars in a parking lot there are 6 trucks. What is the ratio of cars to trucks in the parking lot?
Answer:
The answer is 5:6 if you need to simply then it would be 10:12
Step-by-step explanation
Hope this helps!
Answer:
5:6 10:12
Step-by-step explanation:
5:6 10:12
An equation for a vertical line that contains E(-7,-1)
Answer:
The equation of the line containing the point (-7, -1) will be:
x = -7The graph of the vertical line containing the point (-7, -1) is also attached below.
Step-by-step explanation:
Given the point
E(-7, -1)It means:
at x = -7, the value of y = -1.
Given that the line is vertical. It means no matter what the value of y is, the value of x remains the same.
In other words, the value x does not change for any value of y.
Therefore, the equation of the line containing the point (-7, -1) will be:
x = -7The graph of the vertical line containing the point (-7, -1) is also attached below.
If job growth in your state is projected to be 2 percent and you have 11,000,000 workers, how many new jobs will be created?
Answer:
5500000
Step-by-step explanation:
I just divided-
Nancy has $400 and spends $20 each week.
Which function rule describes the situation?
Since Nancy has $400 dollars ans spends $20 each week. The word "Has" and "Spends" indicates the positive and the negative. so if we write the function rule saying f(d) then we should use it to our equation saying.
Answer:
f(d)=400-20d
Hope this helps! :)
Which equation is the slope-intercept form of this equation?
y−10=−2(x+6)
a) x = -1/2y -1
b) y = -2x -2
c) y−10=−2x−12
d) 2x+y=−2
Answer:
y_10=-2(X+6)
y-10=2x+12
y-2x=12+10
y-2x=22
y-x=22/2
y-x=12
Can someone help me with this
Answer:
My Answer is D
factorise fully 6m^2+8mp
Answer:
2m(3m+4p)
Step-by-step explanation:
Key Skills are: Factoring, GCF, and Simplifying
We have the expression 6[tex]m^{2}[/tex] + 8mp.
1) We want to find the greatest factor among both terms (1 of the terms is 6m^2 and the other is 8mp).
2) Both of these terms have a factor of m, and both are divisible by 2.
3) Therefore, you can take out 2m and get 2m(3m+4p)
Hope you understood and have a nice day!! :D
Certain machine caps 100 bottles every 40 seconds. At this rate, how many will be capped in a minute?
Answer:
150 will be capped in a minute
Which method can be used to find the dimensions of the original rectangle
A. 18-5/8=17 3/8 inches and 12-5/8= 11 3/8 in.
B. 5/8 / 18= 5/144 in. and 5/8 / 12=5/96in.
C. 18x5/8=11 1/4 in. and 12x5/8=7 1/2 in.
D. 18 / 5/8=28 4/5 in. and 12 / 5/8= 19 1/5 in.
Answer:
The area of a rectangle is found by multiplying the length by the width: A = lw. A certain rectangle has an area of x2 + 7x + 12. Factor the trinomial to find the length and width of the rectangle. In the form of a paragraph, describe the process necessary
Step-by-step explanation:
fine the lower and upper quartiles and interquetile range.
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71.
Answer:
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
Step-by-step explanation:
Given data is:
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71
The lower quartile is the first quartile and upper quartile is the third quartile.
A median divides the data set in two equal halves.
Lower quartile also known as first quartile is the middle value in the first half.
The first half is:
5, 12, 17, 23, 28, 31, 37, 41
As the number of values is even, the quartile will be the average of two middle values
[tex]Q_1 = \frac{23+28}{2} =\frac{51}{2}= 25.5[/tex]
Upper quartile is the average of middle two values in the second half when the number of values is even.
42, 49, 54, 58, 65, 68, 73, 71
[tex]Q_3 = \frac{58+65}{2} = \frac{123}{2} = 61.5[/tex]
Interquartile range is the difference of third quartile and first quartile
[tex]IQR = Q_3 - Q_1 = 61.5-25.5=36[/tex]
Hence,
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
How do I deal with family problems? Please help
Answer:
kill them. babsbvsvzvsbs
A recipe that yields 2 loaves of bread
requires 2.5 cups of flour. Edgar has a bag
that contains 18.75 cups of flour. If he uses
all the flour how many loaves can he make?
Answer:He can make 7.5 loaves i think
Step-by-step explanation:
What happens to the value of f(x) = log4^x as X approaches zero from the right
Answer: F(x) approaches - infinity
Step-by-step explanation:
Jennifer has watched 42 minutes of a movie, which is 20% of the movie. What is the total length in minutes of the movie?
Answer:
210
Step-by-step explanation:
20% is equal to 1/5
5*42 = 210
The movie is 210 minutes.
Answer: 210
5 x 42 = 210
If x=3 what is the value of 3ײ
Answer:
27
Step-by-step explanation:
Using Bedmas we have to calculate the x^2 first
Since we know x=3, x^2 = 3^2 = 9
So then, the value would be 3 x 9 = 27
Hope You Found This Helpful :)
-2⁄3 a − 6 = 12
What does (A) equal?
Answer:
a = -27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-2/3a - 6 = 12
Step 2: Solve for a
Add 6 to both sides: -2/3a = 18Divide -2/3 on both sides: a = -27Answer: a = -27
Step-by-step explanation:
-2/3a - 6 = 12
ADD 6 TO BOTH SIDES
-2/3a = 18
MULTIPLY BY 3 TO BOTH SIDES
-2a = 54
now you want to get the a by itself so DIVIDE BY -2
so... a=-27
Help please! What are the matches?
Answer:
2y-6=x goes with 3rd one which is y=2x+6,
Answer:
1 >>4
2>>1
3>>3
4>>2
Step-by-step explanation:
1 - 2y-6 =x then y=(1/2)x +3
2 - 3y = -6 -x then y = (1/3)x + 2
3 = (1/2)y = 3 +x then y = 2x + 6
4 - 2x + y = 3 then y = -2x + 3
Help me please will give brainlist
Answer: 691
Step-by-step explanation:
(17 + 6 + 9) × (19 + 16) - 19 × 7 - 6 × 4 - 16 × 17 = 691