Answer:
C
Step-by-step explanation:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4[/tex]
Use the Power of a Product Property, where:
[tex](ab)^n=a^nb^n[/tex]
Therefore:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4[/tex]
A, B, C, D, E, F, ... 2, 3, 5, 7, 11, 13, ... what number is the letter Z replaced with?
Answer:
Z=101
Step-by-step explanation:
A=2
B=3
C=5
D=7
E=11
F=13
From the above illustration, it can be deduced that A to Z represent prime numbers in ascending order.
Prime numbers are natural numbers that are greater than 1 and are only divisible by 1 and itself.
Therefore,
G=17
H=19
I=23
J=29
K=31
L=37
M=41
N=43
O=47
P=53
Q=59
R=61
S=67
T=71
U=73
V=79
W=83
X=89
Y=97
Z=101
If the zeros of f(x) are x=-1 and x=2, then the zeros of f(x/2) are
A. -1, 2
B. -1/2, 5/2
C. -3/2, 3/2
D. -1/2, 1
E. -2/4
Answer:
E. -2, 4
Step-by-step explanation:
If the zeroes of a function are given as [tex]\alpha, \beta[/tex], then the function can be written as:
[tex](x-\alpha)(x-\beta) = 0[/tex]
Here, we are given that zeros of [tex]f(x)[/tex] are x=-1 and x=2.
As per above, we can write the function [tex]f(x)[/tex] as:
[tex](x- (-1))(x-2) = 0\\\Rightarrow (x+1)(x-2)=0[/tex]
So, [tex]f(x) =(x+1) (x-2)[/tex]
To find:
Zeroes of [tex]f(\frac{x}2)[/tex].
Solution:
We have found that [tex]f(x) =(x+1) (x-2)[/tex]
Replacing [tex]x[/tex] with [tex]\frac{x}2[/tex]:
[tex]f(\frac{x}2) =(\frac{x}2+1) (\frac{x}2-2)[/tex]
Now, Let us put it equal to 0 to find the zeroes.
[tex]f(\frac{x}2) =(\frac{x}2+1) (\frac{x}2-2) = 0\\\Rightarrow (\frac{x}2+1) = 0 \ OR\ (\frac{x}2-2) =0\\\Rightarrow \frac{x}{2} = -1\ OR\ \frac{x}{2}=2\\\Rightarrow \bold{x =-2, 4}[/tex]
So, the zeroes are -2, 4.
By SAA conjecture, determine which triangles are congruent.
Answer:
The correct option is;
[B] ΔABF ≅ ΔEDF
Step-by-step explanation:
GIven that ∠FAE is congruent to ∠FEA
Therefore, triangle ΔFAE is an isosceles triangle (Definition of isosceles triangle)
Segment FA is equal to segment FE (Equal segments of isosceles triangle)
Angle ∠EFD is congruent to angle ∠AFB (Vertically opposite angles)
Therefore, triangle ΔABF is congruent to triangle ΔEDF (Angle Angle Side AAS rule of congruency)
The correct option is ΔABF ≅ ΔEDF.
How do i draw this for this problem?
Well, an angle bisector is a ray that "bisects" or cuts an angle in half, so, 64/2 = 32. Based off of my understanding of this picture, I would say that you have to drag the dot from point D to about halfway between each side, or, if it gives you the measurement while your moving it, move it to 32° on each side. If that doesn't work, I would try watching the help video :)
HELP ASAP HOMEWORK FOR TMR!!!!
Answer:
A. 6.75, divide 13.5 by 2.
B. It's 5.2, 26.2 rounded is 26 and 4.5 rounded is 5, divide. The average is 5.8 , 26.2 divide by 4.5
!This is the first part!
please help on this too
Answer:
The correct option is;
Multiplication Property of Equality
Step-by-step explanation:
The multiplication property of equality states that the product of both sides of an equation by a given number maintains the equality of the sides of the equation
For example, two containers hold the same volume of water, if the volume of water in each of the containers is doubled, they will still hold the same volume on each side.
For the given question, we have;
TR = UI then 3·RT = 3·UI
We have the same value of the multiplier on both sides of the equation therefore, the value of the result of the multiplication will also be the same on both sides of the equation.
Answer:
multiplication property of equality
Step-by-step explanation:
The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.
Both sides were multiplied by 3 which still makes them equal
convert 8 1/10 into an improper fraction
Answer:
81/10
Step-by-step explanation:
In the figure below, triangle DOG, triangle ION, and triangle IDO are congruent and isosceles, each with perimeter 55. The quadrilaterals FLIN, DIES, and DRAG are all squares. The perimeter of the 11-sided polygon $DRAGONFLIES$ is 127. What is the area of DRAG?
Answer:
81 sq units.
Step-by-step explanation:
Given that Triangles DOG, ION and IDO are congruent and isosceles.
Let Sides NO = IO = DO = GO = [tex]x[/tex] units
Let the sides of squares FLIN, DIES and DRAG = [tex]a[/tex] units
So, NF = FL = LI = NI = IE = ES = SD = DI = DR = RA = AG = GD = [tex]a[/tex] units
Given that perimeter of each of Triangles DOG, ION and IDO = 55 units
Sum of sides of triangle = [tex]2x+a=55 ...... (1)[/tex]
and Perimeter of 11 sided polygon DRAGONFLIES = 127 units
The perimeter of the polygon includes the sides (only outer sides are included):
DR, RA, AG, GO, ON, NF, FL, LI, IE, ES and SD
[tex]2x+9a = 127......(2)[/tex]
Solving equations (2) and (1) by subtracting (1) from equation (2):
[tex]8a = 72\\\Rightarrow a = 9 units[/tex]
Area of a square DRAG = [tex]Side^2[/tex] = [tex]9^2 = \bold{81\ sq\ units}[/tex]
Answer:
81
Step-by-step explanation:
dont ask, i just know
One of the legs of a right triangle measures 11 cm and its hypotenuse measures 13 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
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Answer:
17.02939
Step-by-step explanation:
14. A plane traveled from California and back. It took one hour longer on the way out than it did on the way back. The plane's average
speed out was 300 mph. The average speed on the way back was 350 mph. How many hours did the trip out take?
A. 13 hours
B. 8 hours
C. 7 hours
D. 6 hours
Answer:
C. 7 hours
Step-by-step explanation:
Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...
distance = speed × time
300t = 350(t -1)
300t = 350t -350 . . . . eliminate parentheses
350 = 50t . . . . . . . . . . add 350-300t
7 = t . . . . . . divide by 50
The trip out took 7 hours.
What is the difference of the two polynomials?
(9x2 + 8x) – (2x2 + 3x)
7x2 + 5x
7x2 + 11x
11x2 + 5x
11x2 + 11x
Answer:
The answer is 7x²+5x
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The difference between the largest and smallest values in a data set is the ______________.
A. mean
B. mode
C. median
D. range
Answer:
the answer is D. range......
This is Solving Linear Equations.
Answer:
x=12
Step-by-step explanation:
you have to group the like terms in order to solve this equation, this will result to;
5/2x-3/4x=14+7
1.75x/1.75=21/1.75
x=12
I hope this helps
Required solution :
The given equation is,
(5 / 2)x - 7 = (3 / 4)x + 14⇒ 5x - 14 / 2 = (3 / 4)x + 14
Transposing 14 from R.H.S. to L.H.S.,
⇒ (5x - 14 / 2) - 14 = (3/4)x
⇒ 5x - 14 - 28 / 2 = 3x / 4
⇒ 5x - 42 / 2 = 3x / 4
⇒ 4 (5x - 42) / 2 = 3x
⇒ 4 × (5x - 42) / 2 = 3x
⇒ 2 (5x - 42) = 3x
⇒ 10x - 84 = 3x
⇒ 10x - 3x = 84
⇒ 7x = 84
⇒ x = 84 / 7
⇒ x = 12
Therefore, option d that is 12 is correct.
What is the value of the 6 in 13.76?
Answer:
0.06
Step-by-step explanation:
This is because the 6 is in the hundredths place.
━━━━━━━☆☆━━━━━━━
▹ Answer
0.06 (Hundreths)
▹ Step-by-Step Explanation
The '6' is in the hundreths place. This is written as 0.06. As a fraction, it is written as 6/100.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
help...me...plz..!!.....?
Answer:
[tex]\huge\boxed{-1}[/tex]
Step-by-step explanation:
[tex]\frac{-5^2}{(-5)^2}[/tex]
=> [tex]\frac{-25}{25}[/tex]
=> -1
Answer:
-1
Step-by-step explanation:
-5^2 is -25 because you have to do exponents first, so 5^2 is 25. Add a negative symbol there, it becomes -25.
For the denominator, we do the exact same process, except a little different. Since there are parentheses around the negative five, we have to apply the negative symbol on the 5 before we do the exponents. After, we do -5^2 which is 25 because when you are multiplying negative, you always get a positive.
When we are all done with that, we put the numerator over the denominator to get -25/25, which is equivalent to -1.
2x+5
---------
x+1
hãy giupd tôi
2x+5
x+1
2+3.......
x+1
Answer:
ask your teachehope help
and search on somewhere I search it there is so many answer
Phoebe took a survey of her classmates' favorite sport. The results are in the table below:
What is the relative frequency of survey members who prefer football?
Answer:
.14
Step-by-step explanation:
The relative frequency that favors football is around 0.14, or 14%.
Given that Phoebe took a survey of her classmates' favorite sport.
We need to find the relative frequency of survey members who prefer football,
Preferred sports =
Football baseball basketball tennis others total
4 5 8 7 4 28
To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.
According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.
Relative Frequency = Number of people who prefer football / Total number of respondents
= 4 / 28
≈ 0.14
Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.
To know about frequency distribution, here
brainly.com/question/1094036
#SPJ4
Solve the equation
(If possible please show work)
The mean of 5 numbers is 11. The numbers are in the ratio 1 : 1 : 2 : 3 : 4. Find the numbers.
Answer:
5, 5, 10, 15, 20
Step-by-step explanation:
Since the mean of the 5 numbers is 11, we know that the sum of the 5 numbers is 5 * 11 = 55. If we call the numbers x, x, 2x, 3x and 4x respectively based off of the ratio, we can write:
x + x + 2x + 3x + 4x = 55
11x = 55
x = 5 so 2x = 2 * 5 = 10, 3x = 3 * 5 = 15 and 4x = 4 * 5 = 20, therefore, the numbers are 5, 5, 10, 15, and 20.
Given that
Numbers are in ratio 1:1:2:3:4 Mean of these numbers is 11 .To Find.
We have to find these five numbers.Solution .
→ Let's assume these numbers as
→ x , x , 2x , 3x and 4x
→ Mean of any observations is = Sum of observations/ Number of observations.
→ Sum of observations = x+x+2x+3x+4x
→ 11x
→ Number of observations = 5
→ Mean = 11
→ 11 = 11x/5
→ 11 (5) = 11x
→ 11(5)/11 = x
→ value of x = 5
Putting the value of x for finding all numbers .
→ 1st number = x → 5
→ 2nd number = x → 5
→ 3rd number = 2x → 10
→ 4th number = 3x → 15
→ 5th number = 4x → 20
How to solve this maths equation??? pls help me, its urgent!!! asap
Answer:
x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{w}[/tex] + [tex]\frac{3}{x}[/tex] - [tex]\frac{4}{y}[/tex] = [tex]\frac{1}{z}[/tex]
Multiply through by wxyz to clear the fractions
2xyz + 3wyz - 4wxz = wxy ( subtract wxy from both sides )
2xyz + 3wyz - 4wxz - wxy = 0 ( subtract 3wyz from both sides )
2xyz - 4wxz - wxy = - 3wyz ( factor out x from each term on the left side )
x(2yz - 4wz - wy) = - 3wyz ( divide both sides by (2yz - 4wz - wy )
x = [tex]\frac{-3wyz}{2yz-4wz-wy}[/tex] ( multiply numerator/ denominator by - 1 )
x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]
One January day, the low temperature in Fargo, ND was -8 degrees. Over a period of six hours, the temperature rose 4 degrees per hour. After
what was the temperature?
hours
O 24 degrees
O 16 degrees
40 degrees
O 32 degrees
Es Review
Answer:
Hey there!
The temperature started at -8 degrees.
The total rise of the temperature was 6(4) or 24 degrees.
-8+24=16
The temperature after 6 hours was 16 degrees.
Let me know if this helps :)
The temperature after 6 hour is 16°. Therefore, option B is the correct answer.
What is temperature?Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.
Given that, One January day, the low temperature in Fargo, ND was -8 degrees.
Over a period of six hours, the temperature rose 4 degrees per hour.
So, total temperature rose in 6 hours is 24 degrees
Temperature after 6 hour is -8+24
= 16°
The temperature after 6 hour is 16°. Therefore, option B is the correct answer.
Learn more about the temperature here:
https://brainly.com/question/11464844.
#SPJ2
Look at the picture and answer the question
Answer:
b
Step-by-step explanation:
Answer:
80 degrees
Step-by-step explanation:
m∠4 is the same as m∠2
I measured it with a protracter
( plz mark me as brainliest, that would be most appreciated! )
12 flowers are planted in a squared garden.How many garden are needed for this purpose?
answer:
tell us why the other gardens are needed
What is the average time for the toy car to move 1.0 m on dirt? 20.2 s, 24.4 s, 28.1 s or 60.7 A student collected data about the distance a ball falls over time. Which type of graph should he use to represent the data? circle graph, scatterplot, histogram or bar graph
Answer:
1) Incomplete question
2) Scatterplot
Step-by-step explanation:
1) The question is incomplete. To calculate the average time required for the toy car to move, the formula to be used will be
velocity = distance ÷ time
Hence; time = distance ÷ velocity
2) There are two variables in the question; the distance (it takes the ball to fall) and the time. The type of graph (from the option) that can have two variables represented on it is a scatterplot.
Answer:
answer; A. 20.2 s.
Step-by-step explanation:
i had the same question but i had a graph to help me anyways
20.0 + 19.2 + 21.5 = 60.7 s, but you divide the total by 3, then here is your answer: 20.23333333333333 and you simplify it to 20.2 s,
Evaluate 5(14 - 2³) +8 ÷ 2.? Plz help me, will mark you as brainliest A. 26 B. 34 C. 44 D. 56
Answer:
[tex]\large \boxed{\sf B. \ 34}[/tex]
Step-by-step explanation:
[tex]5(14 - 2^3 ) +8 \div 2[/tex]
[tex]\sf Solve \ brackets.[/tex]
[tex]2^3 =8[/tex]
[tex]5(14 - 8 ) +8 \div 2[/tex]
[tex]14-8=6[/tex]
[tex]5(6 ) +8 \div 2[/tex]
[tex]\sf Multiply \ and \ divide.[/tex]
[tex]5(6)=30[/tex]
[tex]8 \div 2 = 4[/tex]
[tex]30 +4[/tex]
[tex]\sf Add.[/tex]
[tex]34[/tex]
Answer: 34
Step-by-step explanation: It's very easy to make mistakes in order of operations problems if you try to do too much of the problem in your head.
It really is worth the extra time it takes to write out every step.
P E M D A S
Parenthses
Exponents
Multiplication/Division
Addition/Subtraction
In this problem, simplify (14 - 2³) first
because it's located inside the parenthses.
2³ is 8 so our second step reads 5(14 - 8) + 8 ÷ 2.
14 - 8 is 6 so we have 5(6) + 8 ÷ 2.
Now multiplication and division are based on order of appearance.
Since multiplication comes first, we do it first.
5(6) is 30 so we have 30 + 8 ÷ 2.
Now we can do the division.
8 ÷ 2 is 4 and we have 30 + 4 which is 34.
Find the edge length of a cube if the surface area is 565.7 m².
0 9.71 m
9.48 m
0 10.31 m
10.97 m
None of the above
Answer:
9.71 m
Step-by-step explanation:
Surface area of cube is given by 6a^2 where a is the edge length.
Given
Surface area =565.7 m²
let a be the edge length of required cube
then
6a^2 = 565.7 m²
=> a^2 = 565.7 /6 m² = 94.28
=> a = [tex]\sqrt{94.28}[/tex] = 9.71
Thus, first option 9.71 m is correct choice.
f(x)=-(x+2)^2+3 put in standard form
Answer:
F(x)=-x^2-4x-1
Step-by-step explanation:
According to PEMDAS, do the exponent part for the parentheses, sense it goes first.
F(x)= -(x^2+4x+4)+3
Then distribute the - sign
F(x)= -x^2-4x-4+3
Then you simplify
F(x)= -x^2-4x-1
Answer:
Hello,
Step-by-step explanation:
do I remind you of the formula (a+b)²=a²+2ab+b²
[tex]f(x)=-(x+2)^2+3\\\\=-(x^2+4x+4)+3\\\\=-x^2-4x-4+3\\=-x^2-4x-1[/tex]
Sorry i haven't see the sign minus before the parenthesis.
BRAINLIEST!!! Plz help ASAP
M(5, 7) is the midpoint of side RS.The coordinates of S are (6, 9). What are the coordinates of R?Please answer with full explanation and no non sense answers will reports. Will give brainiest to those who answered correctly with full explanation. Thank you.
Answer: R = (4, 5)
Step-by-step explanation: Midpoint is simply the center of a line. So, the equation for it is ((x1+x2)/2, (y1+y2)/2). Hence for this,
x coordinate- (6+x)/2=5
x=4
y coordinates- (9+y)/2=7
y=5
And therefore R is (4, 5)
System of linear inequalities
Answer:
1.) ( -4, -2 ), ( -6, - 3 )
2.) ( 0, 2 ) , ( 0 , 4 )
Step-by-step explanation:
The inequality sign of >=, the greater than or equal to sign, the upper region will be shaded while for less than sign <, the lower region will be shaded.
Please find the attached file for the solution and the answer.
Try making 100 using:
5,5,5,5,5
?=100
Help ASAP!
Answer:
(5+5+5+5)*5
20*5=100
[tex]5\cdot5\cdot5-5\cdot5=125-25=100[/tex]