Answer:
Step 4
Step-by-step explanation:
The table is given below
[tex]\left|\begin{array}{c|c}$Powers of 4 &$Value\\---&---\\4^2&16\\4^1&4\\4^0&1\\4^{-1}&\dfrac14\\4^{-2}&\dfrac{1}{16}\end{array}\right|[/tex]
Tasha wants to find the value of [tex]4^{-4}[/tex].
Her steps are:
Step 1: Find a pattern in the table.
The pattern is to divide the previous value by 4 when the exponent decreases by 1.
Step 2: Find the value of [tex]4^{-3}[/tex].
[tex]4^{-3}=\dfrac{1}{16} \div 4= \dfrac{1}{16} \times \dfrac{1}{4}= \dfrac{1}{64}[/tex]
Step 3: Find the value of [tex]4^{-4}[/tex].
[tex]4^{-4}= \dfrac{1}{64} \div 4 = \dfrac{1}{64} \times \dfrac{1}{4}= \dfrac{1}{256}[/tex]
Step 4: Rewrite the value for [tex]4^{-4}[/tex].
[tex]\dfrac{1}{256} = -\dfrac{1}{4^{-4}}[/tex]
Tasha made her first error in Step 4. The correct step is:
[tex]\dfrac{1}{256} = \dfrac{1}{4^{4}}[/tex]
Answer:
Step-by-step explanation:
First error step 4
Pls I need help with this question..Thanks
Answer:
60cm
Step-by-step explanation:
1:50 means every foot is 50 feet.
So I would think the ship hes making will be 2 feet long.
Every foot is equal to 0.3m which is equal to 30cm
Every foot is equal to 30cm
2 x 30cm = 60cm
The sides of a rectangle are a number and 4 less than that same numbers. The perimeter is 56. Find the dimensions of the rectangle.
Answer:
16m and 12m
Step-by-step explanation:
2x + 2(x - 4) = 56
4x = 64
x = 16
Sides are 16 m and 12 m
Which step is wrong??
Answer:
step 1 is wrong because when an absolute opens there are two possibilities of solutions and there will be sign ±
Step-by-step explanation:
i hope this will help you :)
Find the percent of change on an item that was $44 and now costs $66.
Answer:
33.3%
Step-by-step explanation:
the increase in price was $22. Find the ratio
$22
-------
$66
which comes out to 0.33333, or 33.3%.
The percent change in the price of the item is 33.3%.
Answer:
It could be 3.3 i'm not to sure- but the other answer was incorrect
Step-by-step explanation:
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if:
m∠A = α, m∠B = β
Answer:
Pretty easy (if you know geometry)!
Step-by-step explanation:
First, we know that A and B have angle bisectors. This means the angles that are divided by that angle bisector are equal (or their measures).
Thus, m<DBA= 1/2 Beta; m<DAB=1/2 Alpha.
Time to find m<ADB. Using the sum of all angles in a triangle = 180* theorem, we can come up with this equation:
[tex]180= m<ADB+\frac{1}{2} \alpha +\frac{1}{2} \beta[/tex]
So, solving:
[tex]180-\frac{1}{2} \alpha -\frac{1}{2} \beta =m<ADB[/tex]
So there you go! Hope this helps!
IMPORTANT! Please do....needed badly.
Answer: line r and line s
Step-by-step explanation:
m angle 3=76
So m angle 4=180-76=114
m angle 4=m angle 8=114
line r and line s r parallel
Valerie ran Three and one-fourth laps yesterday, and her coach wants her to run Two and one-half times that many laps today. How many laps will she need to run today? Choose the expression needed to solve the problem. Thirteen-fourths × Five-halves Thirteen-fourths × Two-fifths Four-thirteenths × Five-halves Four-thirteenths × Two-fifths
Answer:
13/4 * 5/2
Step-by-step explanation:
In the question, it says that her coach wants her to run 2 1/2 TIMES the original 3/4 she had ran. Therefore, you would want to make the fractions into improper fractions, and then multiply, which is how you would get 13/4 * 5/2.
In the circle below, O is the center and mJL = 55°. What is the measure of the central angle JOI?
Answer: 55 degrees
By definition of how the term "central angle" is defined, it is simply equal to the arc measure it cuts off. The central angle JOI subtends or cuts off the minor arc JI which is 55 degrees, so the central angle is also this measure as well.
Put another way, minor arc JI is 55 degrees of a full 360 degree rotation, and so is the angle JOI.
What is the result of subtracting the second equation from the first?
-4x - 2y = -2
x - 2y = 9
Answer:
-5x + 0y = -11
The y terms are eliminated
Step-by-step explanation:
- 4x – 2y = -2
X - 2y = 9
We want to subtract the second equation from the first
Distribute a minus sign to all the terms in the second equation
- 4x – 2y = -2
X - 2y = 9
= (-5x + 0y = -11)
am I correct? if not what's the correct anwser?
Answer:
Yes, you are as far as I can tell it looks right to me,
Triangle ABC was rotated about the origin. Which rule
describes the rotation?
A) Ro,90°
B) Ro,180°
C) Ro,270°
D) Ro,360°
The R stands for "rotation". The "O" as a small subscript means "origin" which is where the x and y axis cross. The 90 degrees means we rotate 90 degrees counterclockwise. This is equivalent to 270 degrees clockwise, but writing [tex]R_0, 270^{\circ}[/tex] is not correct as we don't rotate 270 degrees counterclockwise.
The solution is Option A.
The rotation angle is given by R0 ( 90° )
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ABC
The coordinate of A = A ( 1 , 4 )
The coordinate of B = B ( 3 , 4 )
The coordinate of C = C ( 3 , 2 )
Now , when the triangle ABC is rotated 90° counterclockwise rotation: (x,y) becomes (-y,x)
Substituting the values in the equation , we get
The coordinate of A' = A' ( -4 , 1 )
The coordinate of B = B ( -4 , 3 )
The coordinate of C = C ( -2 , 3 )
Hence , the rotation is 90° counterclockwise
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Help me please this is an assignment due today please help me? 20 – 23 ÷ 4 • 2 + 2
Answer:
10.5
Step-by-step explanation:
20 – 23 ÷ 4 • 2 + 2
(3) (1) (2) (4)
(1) 23: 4 = 5.75
(2) 5.75*2 = 11.5
(3) 20 - 11.5 = 8.5
(4) 8.5 + 2 = 10.5
Step-by-step explanation:
20-(23/4)×2+2
=20-(5.75×2)+2
=20-11.5+2
=8.5+2
=10.5
Which step should be completed first in the following problem 10 (8x 15 - 7 - 4 x3)?
The ratio of girls to boys at a local elementary school is 3:4.
a. If there are a total of 45 girls in the school, how many boys are there?
b. At another school across town, the ratio of girls to boys is 5:7. How many total
students are there in the school if there are 95 girls at that ratio?
Answer:
a. 60 boys
b. 228 total students
Step-by-step explanation:
a. If there are 45 girls and the ratio of girls to boys is 3:4, then there are 60 boys. The common multiple is 15.
3 * 15 = 45
4 * 15 = 60
45:60 = 3:4
——————————
b. First we need to find out how many boys there are.
95 / 5 = 19
19 * 7 = 133
So, there are 133 boys and the given number of girls is 95. To find out how many total students there are, we need to add 133 and 95.
133 + 95 = 228
the volume of a cube depends on the length of its sides. this can be written in function notation as v(s). What is the best interpritation of v(3) = 27? A. A cube with the volume of 3 cubic feet has side lengths of 27 feet. B. 3 sides of the cube have a total length of 27 feet. C. 3 of these cubes will have a total volume of 27 cubic feet. D. A cube with side lengths of 3 feet has a volume of 27 cubic feet.
Answer:
D
Step-by-step explanation:
V(3)=27 means all sides equal to 3
volum e of a cube=(a)^3=(3)^3=27
What are the verter and x-intercepts of the graph of the function given below?
y=x2-2x-35
For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
What is the approximate radius of a sphere with a volume of 138 cm?
Answer:
r = 3.21
Step-by-step explanation:
Please help I need it
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
so
just consider the lengh:
[tex] \frac{1}{3} [/tex]
or the width :
[tex] \frac{3}{9} [/tex]
or the area:
[tex] \sqrt{ \frac{3 \times 1}{9 \times 3} } = \sqrt{ \frac{3}{27} } = \sqrt{ \frac{1}{9} } = \frac{1}{3} [/tex]
select the reason why these triangles are similar. if they are not select not similar
Answer:
B. SAS
Step-by-step explanation:
Ratio of sides equal:
4/2= 6/3So the 2 sides are congruent and also share same angle between.
B. SAS is the similarity reasonAnswer:
B no is correct answer.
4c- 3 = x+15 pls help!!
Answer:
x = 4c - 18
Step-by-step explanation:
=> 4c-3 = x+ 15
Subtracting 15 to both sides
=> x = 4c-3-15
=> x = 4c - 18
Answer:
x=6
Step-by-step explanation:
4x- 3 = x+15
-1x -1x
3x- 3=15
+3 +3
3x=18
÷3 ÷3
x=6
Most widely Spoken Languages
Arabic
English
Hind
Mandarin
Spanish
Russian
220
440
880
1.100
Number of speakers (millions)
About how many more people speak Mandarin than speak Hindi?
About 550 million more people speak Hindi than speak Mandarin.
b. About 500 million more people speak Hindi than speak Mandarin.
About 500 million more people speak Mandarin than speak Hindi.
d. About 550 million more people speak Mandarin than speak Hindi.
a.
C.
Answer:
Option "C" is the correct answer to the following question.
Step-by-step explanation:
Given:
Number of people speak Mandarin = 1,000 million (Approx)
Number of people speak Hindi = 500 million (Approx)
Find:
Number of people more speak Mandarin.
Computation:
Number of people more speak Mandarin = Number of people speak Mandarin - Number of people speak Hindi
Number of people more speak Mandarin = 1,000 million - 500 million
Number of people more speak Mandarin = 500 million
I believe your answer might be
D) About 550 million more people speak Mandarin than speak Hindi.
Find the Volume of the composite figure below.
Answer:
972 pi ft^3solution,
Volume of this composite figure
= Volume of cylinder+volume of cone
Formula to find volume of cylinder:
[tex]\pi \: {r}^{2} h[/tex]
Formula to find volume of cone:
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
Use,
[tex]\pi = \: pi[/tex]
Here,
Radius of cone= radius of cylinder
=9 ft
Height of cylinder=10 ft
Height of cone=16 ft-10 ft=6 ft
Nowz
Volume of the figure:
[tex] \: pi \: {r}^{2} h + \frac{1}{3} \: pi \: {r}^{2} h \\ = \: pi \times {(9)}^{2} \times 10 + \frac{1}{3} \times \: pi \times {(9)}^{2} \times 6 \\ = \: pi \: \times 81 \times 10 + \frac{1}{3} \times 21 \times 6 \times \: pi \\ = 810 \: pi + 162 \: pi \\ = 972 \: pi \: {ft}^{2} [/tex]
Hope this helps...
Good luck on your assignment...
Hey guys help me find x and measure of angle pleasee
Answer:
95 degrees
Step-by-step explanation:
Since the sum of the angles in a quadrilateral must add up to 360 degrees:
95+85+Z+85=360
Z+265=360
Z=95 degrees
Hope this helps!
Answer:
Z = 95°
Step-by-step explanation:
if W = Y => X = Z => Z = 95°
Driving on the highway, you can safely drive 65 miles per hour. Which of the following functions could be used to find how far you can drive in 'h' hours?
a. D = 65h
b. D = 65 + h
c. D = 65/h
d. D = h/65
Answer:
The answer is A, D=65h
Step-by-step explanation:
This is because D is representing how far you drove, so you can only drive 65 mph. And that will be 65*h=D. Hope this helps!
The solution is Option A.
The distance traveled is calculated by Distance D = 65h , where h is the number of hours
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the distance traveled be represented as D
Now , the value of D will be
Let the speed be represented as S = 65 miles per hour
Let the time required to travel a distance of D be represented as = h
where h is the number of hours
So , the distance D is calculated from the formula
Speed = Distance traveled / Time required
Substituting the values in the equation , we get
65 = D / h
Multiply by h on both sides of the equation , we get
D = 65h
Therefore , the value of D is 65h
Hence , the equation will be D = 65h where h is the number of hours and D is the total distance
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What is the  property 7x<42
Answer: division
x = 6
Step-by-step explanation:
Simplifying
7x = 42
Solving
7x = 42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '7'.
x = 6
Simplifying
x = 6
Answer:6
Step-by-step explanation:
Which of the following is a testable hypothesis? A. Garden plants grow better in wet soil than in dry soil. B. Cats have a completely different personality in comparison to dogs. C. Classical music is better than jazz because stringed instruments, like violins, are used. D. After a long discussion, the people at the meeting finally agreed that it was time for lunch.
Answer:
A. Garden plants grow better in wet soil than in dry soil.
Step-by-step explanation:
A testable hypothesis is theory that can actually be proven by facts rather than opinions
What is the equation of the function that is graphed as line a?
Answer:
C is yo answer of y=3x-1
Step-by-step explanation:
the y intercept is -1 and yo slope is 3. you could see yo line goin up by three and to tha right by 1
a Runway is 3100 ft long and 65 ft wide what is the area of the runway in feet squared
Answer:
201, 500ft²
Step-by-step explanation:
The formula for calculating area in this case is;
A = w × l
This means we're going to take the width of the runway (65ft) and multiply it by the length of the runway (3100ft).
(To make it easier on paper, you can swap the two numbers around, so the higher number is on top, and the smaller number is on the bottom - 3100 × 65. It won't change the answer, but it will make it quicker and easier to get to the result, and lessens the chances making a mistake.)
So the equation you need to do is;
3,100 × 65 = 201, 500.
Add on the units, and there's your answer;
201, 600ft²
Hope this helped!
All the side lengths of a rhombus are 6, and one of the angles is 120 degrees. Find the area of the rhombus.
Step-by-step explanation:
Let the rhombus be $ABCD$, where $\angle DAB = 120^\circ$. Then $\angle ABC = 180^\circ - \angle DAB = 180^\circ - 120^\circ = 60^\circ$.
[asy] unitsize(1 cm); pair A, B, C, D; A = (0,1); B = (sqrt(3),0); C = (0,-1); D = (-sqrt(3),0); draw(A--B--C--D--cycle); draw(A--C); label("$A$", A, N); label("$B$", B, E); label("$C$", C, S); label("$D$", D, W); label("$6$", (A + D)/2, NW); [/asy]
Since $AB = BC$, triangle $ABC$ is equilateral. By the same argument, triangle $ACD$ is also equilateral. Each triangle has area
\[\frac{\sqrt{3}}{4} \cdot 6^2 = 9 \sqrt{3},\]so the area of the rhombus is $2 \cdot 9 \sqrt{3} = \boxed{18 \sqrt{3}}$.
can someone help me find all the angels ):
Answer:
I know you don't need help anymore so ya