Answer:
-1/9
Step-by-step explanation:
- (3^-5) (3^3)
Apply the law of exponents.
- 3^(-5 + 3)
Add the exponents.
- 3^(-2)
Evaluate.
= - 1/9
Answer:
A
Step-by-step explanation:
(3^-5)(3^3)
=3^-5+3
=3^-2
=1/3^2
=1/3×3
=1/9
=-9
If A=(0,0) and B=(6,3), what is the length of AB?
Answer:
3√5 unitssolution,
A(0,0)---->(X1,y1)
B(6,3)---->(x2,y2)
Now,
[tex]ab = \sqrt{ {(x2 - x1)}^{2} + (y2 - y1) ^{2} } \\ \: \: \: = \sqrt{ {(6 - 0)}^{2} + {(3 - 0)}^{2} } \\ \: \: \: = \sqrt{ {(6)}^{2} + {(3)}^{2} } \\ \: \: \: \: = \sqrt{36 + 9} \\ \: \: \: \: = \sqrt{45} \\ \: \: \: = 3 \sqrt{5 } \: units[/tex]
Hope this helps...
Good luck on your assignment..
7. Write the slope-intercept form of the equation that passes through the point (2, 3) and is perpendicular to the line y = 5/8x - 4 y = 5/8x + 17/4 y = -5/8x + 7/4 y = -8/5x + 31/5 y = -8/5x - 31/5
Answer:
y = -8/5 x + 31/5
Step-by-step explanation:
Write the slope-intercept form of the equation that passes through the point (2, 3) and is perpendicular to the line y = 5/8x - 4 y = 5/8x + 17/4 y = -5/8x + 7/4 y = -8/5x + 31/5 y = -8/5x - 31/5
The slopes of perpendicular lines are negative reciprocals.
Slope of given line: 5/8
Slope of perpendicular line: -8/5
Point on perpendicular line: (2, 3)
Slope-intercept form of the equation of a line:
y = mx + b
We know the slope of the perpendicular is -8/5, so now we have
y = -8/5 x + b
We need to find b.
We use the given point for x and y and solve for b.
y = -8/5 x + b
3 = -8/5 * 2 + b
15 = -8 * 2 + 5b
15 = -16 + 5b
5b = 31
b = 31/5
Now that we know that b = 5, we can write the equation of the perpendicular line:
y = -8/5 x + 31/5
Please help with this
Answer: x = 10
Step-by-step explanation:
Hi, to answer this question we have to apply proportions, since the sides are equivalent.
15/25
6/x
So, for equal ratios:
15/25 = 6/x
Solving for the missing side x:
x = 6 / (15/25)
x = 10
In conclusion, the correct option is D) 10
Feel free to ask for more if needed or if you did not understand something.
Est. Length: 2:00:00
x
Wyatt Stewart: Attempt 1
(06.01 MC)
What is the value of the expression shown below?
(2) 12 point)
4 + 16 +2244
O 1) 20
O 2 16
0 3 2
O 4) 5
Answer:
Step-by-step explanation:
B
For the function defined by [Image Displayed], What is the constant of proportionality?
a.
120
c.
12
b.
undefined
d.
1200
Answer:
I think the answer is undefined because the question above is an expression of f of x not a statement of variation which should have a constant of proportionality
What is the slope of the line with equation y−3=(x−2)?
Answer:
1
Step-by-step explanation:
The slope of the line (when in point-slope form) will be the coefficient of the term on the right side of the equation. In this case that is 1.
Answer:
1
Step-by-step explanation:
y - 3 = (x - 2)
Solve for y. Then when the equation is in the slope-intercept form, y = mx + b, m is the slope.
y - 3 = x - 2
Add 3 to both sides.
y = x + 1
Compare to y = mx + b: y = 1x + 1
m = 1
Answer: The slope is 1.
Gabe can wrap 1 2/3 presents in 1/3 hour. how many presents can Gabe wrap per hour?
Answer:
5.06
Step-by-step explanation:
1 2/3 = 1/3
x = 1 (cross multiply)
1/3 x = 1 2/3 (divide both sides by 1/3)
x = 5.06
Sorry the final answer is in decimal. I think better in decimal.
Answer:
Gabe can wrap 5 presents in an hour.
Step-by-step explanation:
So, to find the answer all you have to do is just multiply how many presents he can wrap in 1/3 hours and multiply that by 3. That is then your answer.
Brainliest would be appreciated.
I hope that I was able to help you.
Which is the graph of the system x+3y>-3 and y<1/2x+1?
Answer:
The y-intercept of the first inequality is -1.
The y-intercept of the second inequality is +1.
The fourth graph has these correct.
Isabel purchased bananas and apples at a grocery store. She spent a total of $9.90 on 3 pounds of apples and 2 pounds of bananas. If the apple cost 3 times as much per pound as bananas, what is the cost per pound of apples??
A) $0.90
B) $1.80
C) $2.70
D) $3.60
Answer:
C. $2.70
If one pound of apples cost 3 times the amount of a pound of bananas, then a pound of apples costs; $2.70.
The cost per pound of apples will be $2.70, which is the correct answer would be option (C).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let the cost per pound of apples be x, and the cost per pound of banana be y
She spent a total of $9.90 on 3 pounds of apples and 2 pounds of bananas.
So, 3x + 2y = 9.90 ....(i)
And the apple cost 3 times as much per pound as bananas.
So, x = 3y
y = x/3 ....(ii)
Substitute the value of y = x/3 in the equation (i), and solve
3x + 2(x/3) = 9.90
3x + 2x/3 = 9.90
11x/3 = 9.90
11x = 2.97
x = 2.97/11
x = 2.70
Thus, the cost per pound of apples will be $2.70.
Learn more about the equation here:
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The volume of a cuboidal box is 21952 cubic cm. Find the length of each side of the box.
Answer:
28 cm
Step-by-step explanation:
V=a³
a= ∛V= ∛21952 cm³ = 28 cm
Answer:
28 is the answer because you have to find the cube root of the volume.Step-by-step explanation:
28 is the answer because you have to find the cube root of the volume. This is because a cube has equal sides so it means that the sides have to be equal. When you find volume, you have to multiply the length, width, and height. So you have to find the cube root of 21952. The cube root is 28.
Hope this helped,
Kavitha
does this graph represents a function? why or why not?
Answer:
Yes, it passes the vertical line test
Step-by-step explanation:
This graph has a one to one correspondence and will pass the vertical line test, there fore it is a function
Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3. A) (2, 2) B) (4, 1) C) (–6, 6) D) (4, 5)
Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete we need point P and point Q.
let us assume P is at (3,1) and Q is at (-2,4)
To find the coordinate of the point that divides a line segment PQ with point P at [tex](x_1,y_1)[/tex] and point Q at [tex](x_2,y_2)[/tex] in the proportion a:b, we use the formula:
[tex]x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1[/tex]
line segment PQ is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:
[tex]x-coordinate:\\\frac{5}{5+3}(-2-3)+3 \\\\While \ for\ y-coordinate:\\\frac{5}{5+3}(4-1)+1[/tex]
George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown below:
Art class and in art club: 100
Art class and not in art club: 265
Total in art class: 365
Not in art class and in art club: 65
Not in art class and not in art club: 70
Total not in art class: 135
Total in art club: 165
Total not in art club: 335
Total students: 500
Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
Answer:
If you're not an art club member and you want to request the art class, you have a greater chance of getting into our class. There isn't an equal opportunity for all students to get into the art class they requested, therefore the class assignment is unfair.
As a non-art club member, you have a 79% chance of being assigned to the art class they request.
As an art club member, you have a 61% chance of being assigned to the art class they request.
Step-by-step explanation:
265, divided 335, that's 79%. So this means that if you are not in the art club and you wish to enroll in an art class, you have 79% of percent of being admitted in your request in art class.
Total not in art club 335/ Total students 500= 0.791= 0.79%
Art class and in art club 100/ Total in art club 165= 0.606 = 0.61%
Non art club requested 79% against art club requested 61%.
Inez rides a bike with 24 inch (2 feet) wheels. What is the distance he can travel in 1500 revolutions?
Answer:
9420 ft
Step-by-step explanation:
1500 revolutions = 1500 full rotations or 360 degrees
Circumference = 6.28 ft ( 3.14 x 2 )
Then we take rotations by the circumference
1500 x 6.28 = 9420
MARK AS BRAINLIEST
Answer:
9420 ft or 2.88 km
Step-by-step explanation:
d= 2 ft
1500 revs
C= πd= 3.14*2= 6.28 ft
distance= 1500*6.28= 9420 ft ≈ 2.88 km
A store ships books by weight. A small box can hold 4−6 pounds. A medium box can hold 5−7 pounds. A large box can hold 8−9 pounds. The weights of the books are given below. Drag books into each box to show what it can hold.
Answer:
4-6
3.1+2.4
5-7
3.1+2.4+.75+.75
8-9
3.1+2.4+2.4+.75
add them to see which one is close that's i got my answer because i got it right
In 4-6 pounds, the blue and green book can be added., 5-7 pounds, the blue, green and red books can be added. and n 8-9 pounds, two green books, blue book and red book be added
What is Unit of Measurement?Unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
We know that 1 pound = 1 lb.
In 4-6 pounds, the blue and green book can be added.
4-6
3.1+2.4
In 5-7 pounds, the blue, green and red books can be added.
3.1+2.4+.75+.75
In 8-9 pounds, two green books, blue book and red book be added.
3.1+2.4+2.4+.75
Hence, In 4-6 pounds, the blue and green book can be added., 5-7 pounds, the blue, green and red books can be added. and n 8-9 pounds, two green books, blue book and red book be added.
To learn more on Unit of Measurement click:
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Triangle ABC is transformed to triangle A′ B′ C′, as shown below: A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 3, 4, B at ordered pair negative 4, 2, C at ordered pair negative 1, 1. A triangle A prime B prime C prime has A prime at ordered pair 3, 4, B prime at ordered pair 4, 2, C prime at ordered pair 1, 1.
Which equation shows the correct relationship between the measures of the angles of the two triangles?
The measure of angle ABC = The measure of angle A prime B prime C prime
The measure of angle ABC = The measure of angle B prime C prime A
The measure of angle BCA = The measure of angle A prime B prime C prime
The measure of angle BCA = The measure of angle C prime A prime B prime
Answer:
The measure of angle ABC = The measure of Angle A' B' C'
Step-by-step explanation:
Because
<A = <A'
<B = <B'
<C = <C'
The answer above is right.
Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
1. not possible, 2. a. 65 b. 115 c.115
Step-by-step explanation:
def. sup. <
vertical angles post.
corresponding angles thm.
Answer:
Step-by-step explanation:
(a) 27 degrees: complementary angle is (90 - 27) degrees, or 63 degrees; recall that complementary angles add up to 90 degrees.
(b) Since supplementary angles add up to 180 degrees, we subtract 105 degrees from 180 degrees, obtaining the supplementary angle 75 degrees. There's no complementary angle here, because 105 degrees is greater than 90 degrees.
(c) complementary angle is (90 - 18) degrees, or 72 degrees; supplementary angle is (180 - 18) degrees, or 162 degrees.
40 points!!! please tell me how to do it not what the answer is :D
Answer:
C
Step-by-step explanation:
You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!
Answer:
see below
Step-by-step explanation:
-3z -( -z -2)
The first step is to distribute the minus sign
-3z --z --2
A negative negative is a positive
-3z +z +2
Then combine the like terms
-3z+z +2
Answer
-2z+2
Find the product. Write your answer in
exponential form.
2^-7•2^9•2^6
Answer:
exponential form = 2 ^8 = 4^ 4 = 16^ 2 = 256^ 1
Step-by-step explanation:
256
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 2 ^8 = 4^ 4 = 16^ 2 = 256^ 1
Answer:
4^4Step-by-step explanation:
[tex]2^{-7} \times2^9\times2^6\\\frac{1}{2^{7} } \times2^9\times2^6\\\frac{1}{128} \times 512 \times 64\\= 32768/128\\ = 256\\= 16^2 or\\ 4^4[/tex]
If m∠1 = 3x, m∠3 = 2x + 20 and m∠5 = 30, what is the value of x?
10
20
26
50
Answer:
50 degrees
Step-by-step explanation:
The diagram is attached below.
Theorem: The Exterior angle of a triangle is equal to the sum of two opposite interior angles.
By the theorem stated above:
m∠3+m∠5=m∠1
2x+20+30=3x
3x-2x=50
x=50
The value of x is 50 degrees.
Answer:
50
Step-by-step explanation:
helppppp Help me out :O What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length.
Answer:
1/9 cubic feet
Step-by-step explanation:
The volume of one cube would be (1/3)³ = 1/27, therefore the volume of three cubes would be triple that amount, which is 1/27 * 3 = 1/9 ft³.
is this right? someone please help! i’ll give brainliest :)
Answer:
you're right
Step-by-step explanation:
2 + 5x ≥ 52
5x ≥ 50
x ≥ 10
7 - x > -2
-x > -9
x < 9
Answer: Yes
The only difference between simplifying equations and inequalities is that if you ever divide both sides by a negative, flip the sign.
Hope it helps <3
is this right? someone help i’ll give brainliest!
Answer:
yes this is right
Step-by-step explanation: i dont even no the answer i just said its right
Answer:
-10< x< 3
Step-by-step explanation:
Please see attached picture for full solution.
*Sign changes when you divide inequality with a negative number.
Further explanation:
When you add, subtract, divide or multiply an inequality, it applies throughout. This means that from step 1 to 2, if you subtract 1 from the constant 58 to obtain 57, your inequality should be:
19< -6x -3< 57
Note that you do not subtract 1 from the coefficient of x (which means -6x does not become -7x since -7 is not a constant here).
Thus, the easiest way to solve an inequality with 2 inequality signs is to split them up into 2 different inequalities first and solving them separately before combining them into 1 to solve the question.
Sam always has eggs for breakfast. He either has boiled,
poached or fried eggs.
The probability that he has fried eggs is 0.65 and the
probability that he has poached eggs is 0.25.
a) What is the probability that he has boiled eggs?
b) Work out the probability that
i)He has boiled eggs on the first day and fried
eggs on the second
ii) He has fried eggs both days
iii) He has boiled eggs on at least one day
Answer:
a) 0.1 [ 0.10 ] probability
Step-by-step explanation:
Workout for a) question
Propability of hving boiled eggs + Propability of hving poached eggs + Propability of hving fried eggs = 100
x + 25 + 65 = 100
x=10
Writing as decimal
x=0.10=0.1
b)
i) 10 percent of hving boiled eggs on first day 65 percent of hving fried eggs in second day
ii) 65 percent of hving fried eggs on both days
iii) 10 percent propability of hving atleat one boiled egg in 1 day
Hope this helps....
Pls mark my answer as brainliest :)
In order to solve for the variable in the equation 1-(x+2)+ 2X= 5(2x-5)- Mikel first applies the distributive property.
Which equation is a result of this step?
O 1 - X+2+2x– 10x-5-X
O 1-x-2+2x– 10x-25-
O 1- x-1+2x = 10x-25- X
O 1-X-1+ 2x - 10x-5-X
Nex
Submit
Save and Exit
Mark this and retum
6.5+(-8.3)-(-1.6)+0.7-9.9
Answer:
-12.6
Step-by-step explanation:
OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting
Expand to write an equivalent expression: -1/4(-8x+12y)
Answer:
8x -12
Step-by-step explanation:
Use the distributive property. 16 outside wishes to go inside and multiply each term; you get 16x/2 which is 8x minus ¾ of 16 which is 12.
Answer:
2x-3y
Step-by-step explanation:
To expand this expression, use the distributive property.
[tex]-\frac{1}{4}(-8x+12y)[/tex]
To distribute, multiply each term inside the parentheses by the number outside the parentheses.
[tex](-\frac{1}{4}*-8x)+(-\frac{1}{4} *12y)[/tex]
Multiply -1/4 and -8x first.
[tex]((-\frac{1}{4}*-8)x)+(-\frac{1}{4} *12y)[/tex]
[tex]2x+(-\frac{1}{4} *12y)[/tex]
Next, multiply -1/4 and 12y.
[tex]2x+ ((-\frac{1}{4} *12)y)[/tex]
[tex]2x+ -3y[/tex]
A +- becomes a -
[tex]2x-3y[/tex]
Please Help!
Consider the graph of f(x) on the interval [−6,2] shown.
The local minimum of f(x) is at the point _[blank ]_.
Enter your answer the ordered pair that correctly fills in the blank in the previous sentence, like this: (42, -53)
This set of 3 numbers are measurements of a right triangle. 26, 24, 10
True
False
Answer:
True
Step-by-step explanation:
24^2 = 576
10^2 =100
576+100=676
26^2=676
Answer:
True
Step-by-step explanation:
Use the pathagorean theorum:
a squared +b squared=c squared
(the numbers squared)
676, 576, 100
a=576 b=100 c=676
because 676=576+100
The triangular prisms are similar. Find the volume of the larger prism. Round your answer to the nearest hundredth.
A. 85.33 in³
B. 86.38 in³
C. 87.07 in³
D. 88.16 in³