Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
first ,let’s calculate the number of bags made by the company that have both buttons and zips :
150-(43+38+34)
=35
a bag that has buttons : either has buttons but no zips or has both buttons and zips
Then
The number of the bags that have buttons is :
43+35 = 78
………………………
Conclusion:
the probability that the bag has buttons is :
[tex]=\frac{75}{150} = \frac{1}{2}[/tex]
3. Which of the following best describes the slope of line L?
negative slope
positive slope
zero slope
undefined slope
Answer:
Zero Slope
Step-by-step explanation:
Horizontal lines like line L have ZERO SLOPE
please help mee, (20 points will give brainliest!!!)
Answer:
A) 48
B) -30
Step-by-step explanation:
Hello!
Part ATo compute f(-1) and f(5), we simply replace x with -1 and -5.
Calculate[tex]f(-1) + f(5)[/tex][tex]((-1)^2 - 1 + 9)+ (5^2 +5 + 9)[/tex][tex](9)+(39)[/tex][tex]48[/tex]The answer to A is 48
Part BWe have the values for f(-1) and f(5), so we just switch the operation
[tex](9) - (39)[/tex][tex]-30[/tex]The answer to B is -30
If ABCD is dilated by a factor of, the
coordinate of A' would be:
C
3
2
1
B
-4 -3 -2 -10
3 4 5 6 7
8 9 10 11
-1
-2
3
A
D
A' = ([?], [ ])
T
ת
2
Answer:
(-1, -1)
Step-by-step explanation:
Assuming the dilation is centered at the origin, we can multiply each of the coordinates by the scale factor.
This gives A'(-1, -1)
What is the slope of the line segment?
1 over 4
Negative 1 over 4
4
−4
What is the inverse of the fraction FX = 1/4 x = -12
The inverse function of the function f(x) will be f⁻¹(x) = 4x + 48. Then the correct option is D.
The complete question is attached below.
What is inverse of a function?Suppose that the given function is
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
It simply means, inverse of 'f' is an undo operator, that takes back the effect of 'f'
The function is given below.
f(x) = (1/4)x – 12
Then the inverse function of the function f(x) will be
(1/4)f⁻¹(x) - 12 = x
f⁻¹(x) = 4x + 48
Then the correct option is D.
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the length of a rectangle is five times its width. If the perimeter of the rectangle is 84 in, find its length and width
Answer:
width=14 &Length = 70( can add unit behind the answer e.g.cm or mm etc..)
Step-by-step explanation:
we know that in a rectangle not all side are same compare to a square..
therefore:
1) write the formula for perimeter down
perimeter = the sum of all side
perimeter = 2x(width) + 2x(length)
P=2(w)+2(L)
2) substitute into the equation
P =2(w)+2(L)
84=2(w)+2(5*w)
3) perform opposite operation to make w become the subject of the formula inorder to find width
48=2(w)+2(5*w)
48=2w+10w
48=12w
48/12=12w/12( the twelves cancels out)
7=w or the width is 7
4) rewrite the formula and solve
P=2(w)+2(L)
P =2(7) + 2(5*7)
P = 14 + 70
P = 48
What is the solution to –2(8x – 4) < 2x + 5?
x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6
The solution to the inequality, -2(8x – 4) < 2x + 5, is: B. x > 1/6.
How to Find the Solution of an Inequality?To find the solution to an inequality, solve the inequality to isolate the variable.
Given the inequality, -2(8x – 4) < 2x + 5, open the bracket:
-16x + 8 < 2x + 5
Combine like terms
-16x - 2x < -8 + 5
-18x < -3
Divide both sides by -18 then reverse < to >
-18x/-18 > -3/-18
x > 1/6
The solution is: B. x > 1/6
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A, B and C are the vertices of a triangle.
A has coordinates (1,4)
B has coordinates (3, 0)
C has coordinates (-3,-2)
D is the midpoint of AB.
E is the midpoint of AC.
Prove that DE is parallel to BC.
You must show each stage of your working.
PLEASE HELP ASAP THANK YOU
Answer:
see below
Step-by-step explanation:
To find the coordinates of the midpoints, add the x's and divide by 2 and add the y's and divide by 2.
The coordinates of D, the midpoint of AB, (1+3)/2 will be the x-coordinate and (4+0)/2 will be the y-coordinate.
D (2,2)
You could also see this on a graph, see image.
E, the midpoint of AC has the x-coordinate (1+-3)/2, which is -1 and y-coordinate (4+-2)/2 which is 1.
E is (-1,1)
Then we are able to calculate the slope of DE and BC.
To calculate slope, subtract the y's and put that on top of a fraction and subtract x's and put that on the bottom of a fraction. If the slopes are the same the segment are parallel.
Slope of DE:
(2-1)/(2--1)
= 1/3
Slope of BC:
(0--2)/(3--3)
=2/6
=1/3
The slopes of BC and DE are equal, so the segments are parallel.
(Alternatively, you could show that Triangle ABC and Triangle ADE are similar. Then find the segments parallel because corresponding angles are congruent.)
Which graph represents the following system of inequalities?
y<-2x+4
yx<3
A graph which represents the given system of inequalities is Graph C.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Based on the graph for the given system of inequalities (see attachment), we can infer and logically conclude that Graph C best represents them.
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The steps to simplify the expression -100 ÷ 3 x (-0.6) are shown.
Answer:
That is the answer for you step 2
PLEASE HELP I WILL GIVE 20 POINTS
Function g can be thought of as translated (shifted) version of f(x)=x^2
The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.
Write the function in standard form.
f(x) = 5x2 + 40x
Factor a out of the first two terms.
1(x) = 5(x2 + 8x)
Form a perfect square trinomial.
(%) =16
1(x) = 5(x2 + 8x + 16) -5(16)
What is the function written in vertex form?
® f(x) = 5(x + 4) -80
® f(x) = 5(x + 8) - 80
O f(x) = 5(x + 4)2 - 80
• f(x) = 5(x + 8) - 80
Answer: Choice C [tex]f(x) = 5(x+4)^2 - 80[/tex]
======================================================
Reason:
The expression [tex]x^2+8x+16[/tex] factors to [tex](x+4)^2[/tex] using the perfect square trinomial formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]. In this case, a = x and b = 4.
The -5(16) simplifies to -80
Therefore, [tex]5(x^2+8x+16) - 5(16)[/tex] turns into [tex]5(x+4)^2 - 80[/tex]
Compare this to [tex]a(x-h)^2 + k[/tex] to see that h = -4 and k = -80. The vertex is located at (h,k) = (-4, -80)
Answer:
c) 5(x+4)² - 80
Step-by-step explanation:
You have already gotten the third (second-last) step for finding the vertex as follows:
f(x) = 5(x² + 8x + 16) -5(16)
= 5(x+4)² - 80
Additional remarks: to find the vertex, you can just use find the value of x when x+4 = 0, meaning x = -4 and y = -80. Hence, the vertex is (-4, -80).
Hope this helps and feel free to mark this as brainliest! :)
The graph below shows the solution to which system of inequalities?
OA. y> 2 and y≤ x
B. x> 2 and y≤ x
C. y≥ 2 and y< x
D. y≤ 2 and y< x
Answer:
C
Step-by-step explanation:
The horizontal line, y=2, is solid and shaded above, so it represents
[tex]y \geqslant 2[/tex]
The slanted line, y=x is dashed and shaded below, so it represents y<x.
(28÷4)+3+6x5
tell accordingly the correct answer will be marked as brainliest answer
In triangle QRS, angle Q measures 33.7°, angle R measures 52.3°, and angle S measures 94°. Based on the information that is provided, which could be a correct set of sides for this set of angles?
side QR = 7 cm , side RS = 10 cm , side QS = 12.6 cm
side QR = 10 cm, side RS = 7 cm, side QS = 12.6 cm
side QR = 12.6 cm, side RS = 10 cm, side QS = 7 cm
side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm
Answer:
side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm
Step-by-step explanation:
The side opposite to biggest angle is the longest side
In ΔQRS,
∠S > ∠R > ∠Q
∠S is the biggest and ∠ Q is the smallest angle.
So, the side opposite to ∠S, QR is the longest side and the side opposite o ∠Q , RS is the smallest side.
QR > QS > RS
QR = 12.6 cm ; QS = 10 cm and RS = 7 cm
The image of ABC is A'B'C. What transformations would result in this image?
ABC is rotated 180° around the origin, then T: ( x, y) → ( x - 1, y - 1).
ABC is reflected over the line x = 1, then is reflected over the line y = -1.
ABC is rotated -90° around the point, then T: ( x, y) → ( x + 5, y + 3).
ABC is rotated -90° around the origin, then T: ( x, y) → ( x + 5, y - 1).
(multi choice)
Triangle ABC was rotated 90° around the point, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and translation.
Triangle ABC was rotated 90° around the point B, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.
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What is the approximate area of the circle shown below?
60 cm C
A. 11,310 cm²
B. 94 cm²
C. 2827 cm²
D. 188 cm²
If x + y = 2 and x - y = 6, solve for x and y.
Answer:
Step-by-step explanation:
Givens
x + y = 2
x - y = 6
Solution
Just add the two equations together. The y's will drop out.
x + y = 2
x - y = 6 Add
2x = 8 Divide by 2
2x/2 = 8/2 Combine
x = 4 Substitute x = 4 into the top equation
x + y = 2
4 + y = 2 Subtract 4 from both sides
4-4+y=2-4 Combine
y = - 2
Answer
x = 4
y = -2
Here is a list of numbers: 3.9 , 7 , 3.3 , 1 , 1.4 , 1.7 , 2.1 , 3.3 , 5.2 State the median. Give your answer as a decimal.
The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.
When there are two middle numbers we average them.
We have:
3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2
Let's sort the numbers from the smallest to the largest
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
The median is 3.3Answer:
3.3
Step-by-step explanation:
The first thing you have to do is put them in order from least to greatest.
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
Check off one from the left side and one from the right side until you are left with the one in the middle.
When you do that, you are left with 3.3
How many cubic feet of dirt are there in a hole that is 3’ deep x 3’ wide x 3’ long?.
Answer:
27
depth ×breadth×width=3×3×3
= 27
a man bought a motor at 400,000 Kenyan shillings in January 1999 it depreciated at a rate of 16% per annum if he value it six months determines its value in January 2003
The value of the car is January 2003 is $199,148.54.
What is the value of the car?Depreciation is the rate of decline in the value of an asset with the passage of time.
The exponential equation that can be used to determine the value of the car is:
Value of the car = purchase value(1 - rate of decline)^time
400,000 x (1 - 0.16)^(2003 - 1999)
400,000 x (0.84^4) = $199,148.54
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Answer ASAP!
Consider right triangle DEF below.
I need to know which two answers to click. Thanks!
Answer:
A and D
Step-by-step explanation:
Since tangent is opposite/adjacent,
Tan 40 in this case would be x/3.8 (i used x because we don't know what the value is)
So, you set it up as an algebra problem
Tan40 = x/3.8
Multiply both sides by 3.8
3.8tan40 = x, Option A
And then, angle E is 50 degrees
So tan 50 = 3.8/x
Multiply both sides by x
tan50x = 3.8
Divide both sides by tan50
x= 3.8/tan50
So, A and D are both correct
Which statement is needed to complete this syllogism?
If the angles of a triangle are all equal, then the sides of a triangle are all equal.
If the sides of a triangle are all equal, then the triangle is equilateral.
Therefore, if the angles of a triangle are all equal, then ________________________.
Group of answer choices
the sides of a triangle are all equal
the triangle is equiangular
the angles of a triangle are all equal
the triangle is equilateral
If the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.
What is an equilateral triangle?A triangle having all the three sides equal and all the angles equal is called the equilateral triangle.
As we can see that if the triangle is having all the angles equal then all three sides of the triangle must be equal. The triangle is termed the equilateral triangle.
Therefore the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.
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The following lines are parallel. 6x + 3y = 7 and y = -2x + 3
True
False
Answer:
True
Step-by-step explanation:
• Parallel lines have equal slopes
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
6x + 3y = 7 ( subtract 6x from both sides )
3y = - 6x + 7 ( divide terms by 3 )
y = - 2x + [tex]\frac{7}{2}[/tex] → in slope- intercept form
with slope m = - 2
y = - 2x + 3 ← is in slope- intercept form
with slope m = - 2
since both lines have equal slopes then they are parallel lines
Which ordered pair would form a proportional relationship with the point graphed below?
Answer:
(c) (-30, 10)
Step-by-step explanation:
Two points will be on the same graph of a proportional relationship if the ratio of values y/x is the same.
__
The given point (x, y) = (60, -20) has a ratio k = y/x = -20/60 = -1/3.
The offered points have y/x ratios ...
(a) 30/-10 = -3
(b) -15/30 = -1/2
(c) 10/-30 = -1/3 . . . . . . the point you are looking for is (-30, 10)
(d) -30/80 = -3/8
PLEASE HELP !! In this table, the input and output values are
related. If you know the input, you can predict
the output. Which rule describes how the
output depends on x?
Click on the correct answer.
10x² +7
10x + 7
7x + 10
Answer:10X^2 +7
Step-by-step explanation:
Using the basic identities, find the value of cosΘ if cotΘ = -12/5.
Step-by-step explanation:
please mark me as brainlest
If m∠B = 46°, and m∠D = 67°, what is m∠BEA?
67°
46°
88°
134°
If triangle RST is within Quadrant 2 and csc T = 13/12, what is the value of cotT?
Answer:
[tex]\boxed {cot T = -\frac{5}{12}}[/tex]
Step-by-step explanation:
Finding the missing side :
x² = 13² - 12²x² = 169 - 144x = √25x = 5Taking the cot value :
cot T = adjacent / oppositecot T = -5/12 (As cot is negative in Quadrant 2)Answer:
csc T =13/12
(cot T)^2=csc^2T -1
Cot T)^2=(13/12)^2-1
(cot. T )^2=169/144-1
(cot T)^2=169-144/144
(cot T)^2=25/144
cot T =√ 25/144
cot T=5/12
where cot is negative in WE
so Cot T=-5/12
Step-by-step explanation:
please mark me as brainlest
Jej pls help i need help thank you
Answer:
Largest total : [tex]\mathsf {\frac{69}{20}}[/tex]
Smallest total : [tex]\mathsf {\frac{121}{40} }[/tex]
Step-by-step explanation:
Finding the largest total :
The greatest 2 numbers are 7/4 and 1 7/10⇒ 7/4 + 1 7/10⇒ 7/4 + 17/10⇒ 35/20 + 34/20⇒ 69/20Finding the smallest total :
⇒ 1 3/8 + 33/20⇒ 11/8 + 33/20⇒ 55/40 + 66/40⇒ 121/40Answer:
Largest Totals : 69/20
Smallest Totals : 121/40
Step-by-step explanation:
Given:
Charlie adds together two of his four number cards. Find the largest and smallest totals that Charlie can make. Give your answers as improper fractions in their simplest form.
Solve:
First let change all to improper fractions:
7/4 {already a improper fractions}
1 3/8 = 11/8
1 7/10 = 17/10
33/20 {already a improper fractions}
Thus we have:
7/4
11/8
17/10
33/20
According to the solving above ,
⇒ 70/40 , 55/40, 68/40, 66/40
⇒ 70/40 > 68/40 > 66/40 > 55/40
⇒ 7/4 > 1 7/10 > 33/20 > 1 3/8
⇒ Largest Totals : 7/4 + 1 7/10 = 69/20 = 3 9/20
⇒ Smallest Totals : 33/20 + 1 3/8 = 121/40 = 3 1/40
Since, it says given your answers as improper fractions in their simplest form:
Thus,
Largest Totals : 69/20
Smallest Totals : 121/40
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