Answer:
-1/32
Step-by-step explanation:
1/4*1/8*1024 = 1024/32 = -32
sanjana wrote the cross multiplication property for her proportion: xt=uy
Answer:
what does this mean. oh wAit iM dematerializinG mvxhkgd
hdgxmgxmgxkgzkgsktxktdktdktdktdtdkgd
HELP ASAP!!!!! The graph compares temperatures and numbers of cyclists. The equation of the trend line for the scatterplot is y = 4x + 10. Predict the number of cyclists when the temperature is 12°C.
So
Put x ax 12°CHence
y=4(12)+10y=48+10y=58Option A
Answer:
Option A
Step-by-step explanation:
y=4x+10
So
Put x ax 12°C
Hence
y=4(12)+10
y=48+10
y=58
6. Janet spent $25, $30, $10, and $8 for
recreation in the last four weeks. What
was her average weekly expense for
recreation?
A. $12.50
B. $18.25
C. $25.25
D. $36.50
Answer:
B
Step-by-step explanation:
Total money spent = 25 + 30 + 10 + 8 = 73
Per week = 73 / 4 = 18.25
Solve the proportion: 35=x20
Answer:
either x = 1.75 or x = 700 , question wasn't clear
Step-by-step explanation:
Because you put the x in front of 20 , you might be meaning x/20 (second answer listed)? Or, you put the variable on the wrong side of 20. (first answer listed)
If you meant to type 20x
35 = 20x
÷20 ÷20 *
1.75 = x
*divide both sides by 20 to isolate x
x = 1.75
(x = [tex]\frac{35}{20}[/tex])
--------------------------------------------------------------------------
If you meant to type x/20
35 = [tex]\frac{x}{20}[/tex]
·20 ·20 *
700 = x
*multiply both sides by 20 to isolate x
700 = x
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
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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27
C
A
54
B
Based on the diagram, which expresses all possible
lengths of segment AB?
O AB = 25
O 27
OAB = 85
O AB< 27 or AB > 81
Answer:
B. 27 < AB < 81
Step-by-step explanation:
The triangle inequality requires that the length of any given side of a triangle be greater than the difference and less than the sum of the other two sides.
__
application54 -27 < AB < 54 +27
27 < AB < 81
_____
Additional comment
Some versions of the triangle inequality allow the "or equal to" case.
27 ≤ AB ≤ 81
Apparently, the one used here does not.
If the sum of the two short sides is equal to the long side, the "triangle" looks like a line segment. Its altitude and area are zero.
Find the circumference of a circle that has a diameter of 2 ft. Use 3.14 for pi.
5.14 ft
6.28 ft
12.56 ft
7.14 ft
Answer:
6.28 ft
Step-by-step explanation:
using the formula [tex]\pi d[/tex] to find the circumference of the circle, you substitute the numbers. 3.14(2). 3.14 x 2 = 6.28 hence the answer
This is super easy. Explanation, please!
The proposition given by definition of function "division" is false as [tex]\frac{f}{g} \ne {(1, 2)}[/tex] for the former function f = (9, 5) and the latter function g = (9, 0).
How to analyse a operation between two functions by propositional approach
In this question we have a definition of division between two functions, consisting in dividing each component of the ordered pair of the former function (f) by the component of the ordered pair of the latter function (g) such that resulting ordered pair is (1, 2).
We must check if the proposition is true for every ordered pair. Let analyze each case:
Case I
[tex]\frac{f}{g} = \left(\frac{1}{1}, \frac{6}{3} \right) = (1, 2)[/tex]
Case II
[tex]\frac{f}{g} = \left(\frac{9}{9}, \frac{5}{0} \right) = (1, NaN)[/tex]
Thus, the proposition is false.
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1.
In AXYZ, |XZ| = 13 cm, XY = 12 cm and
ZXYZ = 90°. Find YZ if the area of the
triangle is 30 cm².
Step-by-step explanation:
I think you mean triangle XYZ. and angle XYZ.
so, the angle at Y is 90°.
that makes XZ the Hypotenuse (baseline opposite of the 90° angle) of the right-angled triangle.
so, we can actually use Pythagoras (we don't need the area of the triangle to solve) :
13² = 12² + YZ²
169 = 144 + YZ²
25 = YZ²
YZ = 5 cm
just to check - the area of this triangle is (remember, it is a right-angled triangle, so XY and YZ serve also as baseline and height) :
area = 12 × 5 / 2 = 60/2 = 30 cm²
correct, it fits.
One side of a rectangle is 6 meters shorter than four times another side. Find the length of the longer side if we also know that the perimeter of the rectangle is 58 meters
Answer:
22 meters
Step-by-step explanation:
Let x = width of the rectangle
Let y = length of the rectangle
Equation 1
If the length of the rectangle is 6 meters shorter than four times the width then:
⇒ y = 4x - 6
Equation 2
Perimeter of a rectangle = 2(width + length)
If the perimeter is 58 inches, then:
⇒ 58 = 2(x + y)
Solve by substitution
Substitute Equation 1 into Equation 2 and solve for x:
⇒ 58 = 2(x + 4x - 6)
⇒ 58 = 2(5x - 6)
⇒ 58 = 2 · 5x - 2 · 6
⇒ 58 = 10x - 12
⇒ 58 + 12 = 10x -12 + 12
⇒ 10x = 70
⇒ 10x ÷ 10 = 70 ÷ 10
⇒ x = 7
Substitute found value of x into Equation 1 and solve for y:
⇒ y = 4(7) - 6
⇒ y = 28 - 6
⇒ y = 22
Conclusion
The dimensions of the rectangle are:
width = 7 meterslength = 22 metersTherefore, the length of the longer side is 22 meters
The length of the longer side is 22 meters.
Let, one side of the rectangle is x meters.
According to the problem, the other side is 6 meters shorter than four times this side, which means the length of the second side is (4x - 6) meters.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (length + width)
In this case, the perimeter is 58 meters:
58 = 2 * (x + 4x - 6)
Now, let's solve for x:
58 = 2 * (5x - 6)
58 = 10x - 12
Add 12 to both sides:
58 + 12 = 10x
70 = 10x
Now, divide both sides by 10 to isolate x:
x = 70 / 10
x = 7
So, one side of the rectangle is 7 meters.
Now, we can find the length of the longer side:
Length of the longer side = 4x - 6
Length of the longer side = 4 * 7 - 6
Length of the longer side = 28 - 6
Length of the longer side = 22 meters
Therefore, the length of the longer side is 22 meters.
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In a P.7 class, 20% of the boys were absent for the Mock Examinations, of the remainder of the boys were present Find the fraction of the girls in the class.
The White Russian cocktail contains vodka, Tia Maria and milk in the ratio of 5:2:3. To make the cocktail for a party the barman used 180ml of milk. What was the total volume of the cocktail? If this was served in 60ml glasses, how many glasses would it serve?
Answer:
1) 600cm^3 2) 10 glasses
Step-by-step explanation:
x = total amount in ml
(3/10)x = 180ml (MILK)
x = 600ml
(2/10)600 = 120ml (TIA MARIA)
(1/2)600 = 300ml (VODKA)
1) 600cm^3
2) 600ml : 60ml = 10 (GLASSES)
Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below:
A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 1 meter.
What is the maximum length of the seesaw?
Using the slope concept, it is found that the maximum length of the seesaw is of 1.73 meters.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem:
The vertical change is of 1 m.The horizontal change is the length l.The angle is of 30º.Hence:
tan(30º) = 1/l
l = 1/tan(30º)
l = 1.73.
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can someone help me find the missing ones
Answer:
The answer is in Step.
Step-by-step explanation:
Domain: (- inf, + inf)
Range: (- inf, 3]
Increasing: (- inf , 0)
Decreasing: (0 , + inf)
Positive: (- 1 , 1 )
Negative: (- inf , -1) , (1 , + inf)
Maximum: (0,3) or just 3.
Minimum: None.
x-int: -1, 1
y-int: 3
Simplify the expression
(2x^2y)3
Answer: Heyaa! ~
When simplifying (2x^2y)3 the answer will be... 6x²y
Step-by-step explanation:
Multiply the numbers:
2x²y · 3 6x²yHopefully this helps you! ^^
Identify the remainder when -2x2 + 15x is divided by x - 7.
Answer:
The remainder is 9
Step-by-step explanation:
x-7=0
x=7
Plug x=7 into the given fxn
-2(7)²+15(7)
-2(49)+105
-96+105
9
help please!!! i need to turn this in tomorrow
Answer:
$10955.6157151671
Step-by-step explanation:
Amount [A] = [tex]P(1+r)^{t}[/tex]
Here, P = principal (which is $5000)
r = rate of interest in decimal form(which is 0.04)
t = time in years (which is 20)
Substituting,
[tex]$5000(1+0.04)^{20}[/tex] = $10955.6157151671
Find the value of x.
6
14
8
0
21
x = [ ? ]
3x-12
Answer: 7
Step-by-step explanation:
By the angle bisector theorem,
[tex]\frac{21}{14}=\frac{3x-12}{6}\\21(6)=14(3x-12)\\126=14(3x-12)\\9=3x-12\\21=3x\\x=\boxed{7}[/tex]
please help me!.. as fast as possible please help me at fastest possible
Write a doubles fact that can help you find the
sum. Write the sum.
3+4
Step-by-step explanation:
4 + 4 = 8 is one of the two closest double to 3 + 4
W.K.T(we know that )..
4 is 1 more than 3 this means ;
4 + 4 will be 1 more than 3 + 4
4 + 4 = 8 ,so finding 1 Less ;
3 + 4 = 7
here is the answer hope It helped U
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If one student is chosen at random, Find the probability that the student was NOT a female that got a "C"
--------- A // B // C // Total
Male: 10 // 8 // 15 // 33
Female: 7 // 9 // 17 // 33
Total: 17 // 17 // 32 //66
The probability that the student was NOT a female that got a "C" is 15 / 32.
What is the probability?
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the student was NOT a female that got a "C" = number of males that got a C / total number of people that got a C = 15 / 32.
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Solve the following inequality algebraically:
-2 less-than x/3 + 1 less than 5
a.
Negative 9 greater-than x greater-than 12
b.
Negative 9 less-than x less-than 12
c.
Negative 2 less-than x less-than 5
d.
Negative 2 greater-than x greater-than 5
Answer:
d
Step-by-step explanation:
5 more than n is the quotient of n and 4
PLEASE HELP ITS DUE SOON IM SO CONFUSED! HELP NEEDED!!
Answer:
e
Step-by-step explanation:
According to Angle Sum Property :
∠A + ∠B + ∠C = 180°
============================================================
Given :
⇒ ∠A = 50°
⇒ ∠B = 32°
===========================================================
Solving :
⇒ 50° + 32° + ∠C = 180°
⇒ ∠C + 82° = 180°
⇒ ∠C = 98°
Solve for x: -24 = 6x
1/4
-4
4
- 1/4
Answer:
-4
Step-by-step explanation:
[tex]~~~~~-24 = 6x\\\\\\\implies -\dfrac{24} 6 = \dfrac{6x}6\\\\\\\implies x = -4[/tex]
Find the area of a circle with radius, r = 60cm. Give your answer rounded to 3 SF.
The area of the circle will be equal to 11309.733 square centimetres.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The area of the circle will be calculated by the following formula:-
Area = πr²
Area = π x ( 60 x 60 )
Area = 3.14 x 60 x 60
Area = 11309.733 square centimeters.
Therefore the area of the circle will be equal to 11309.733 square centimetres.
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the diagram shows a right angled triangle. 9cm 15cm x degrees. Find the size of angle x. Give your answer correct to 1 decimal place.
Answer:
31°
Step-by-step explanation:
As the opposing side and adjacent side of the angle x are given, we need to take the tan ratio of the angle.
=============================================================
Solving :
⇒ tan x° = 9/15
⇒ tan x° = 3/5
⇒ x = tan⁻¹ (0.6)
⇒ x = 31°
The size of the unknown angle "x"
Solution:We'll have to check which is the appropriate one from SOHCAHTOA.
In this question we'll have to use tan because opposite and adjacent is given.
[tex]\large\boxed{Formula: tan(A)= \frac{opp}{adj}}[/tex]
Substitute according to the formula.
[tex]tan \: x= \frac{9}{15}[/tex]
We'll have to use tan inverse.
[tex]x={tan}^{-1}(\frac{9}{15})[/tex]
[tex]x=30.96375653[/tex]
[tex]\large\boxed{x=31° }[/tex]
Hence, the size of the unknown angle "x" is 31°
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students–65 boys and 95 girls–going on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls.
Answer:
The representative sample contained more girls than boys.
Step-by-step explanation:
Since there is roughly 1.5x more girls than boys, the sample size will likely contain more girls than boys when chosen at random.
Which property justifies the following if angle A is congruent to angle B and angle b is congruent to angle C then angle a is congruent to angle c
Answer: Transitive property of congruence
if y=4 when x= -4, find y when x=7
Answer:
Answer:y=-7
Step-by-step explanation:
When x=-4 then y=4 and if x=7 then y=-7
Because y=-x