Answer:
B, C, E
Step-by-step explanation:
Exponent Rules
[tex]a^b \cdot a^c=a^{b+c}[/tex]
[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]a^n \cdot b^n=(ab)^n[/tex]
[tex]a^0=1[/tex]
[tex]\dfrac{1}{a^b}=a^{-b}[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]\textsf{A}\quad42^{-3} \cdot 42^8=42^{-3+8}=42^5[/tex]
[tex]\textsf{B}\quad \dfrac{42^{-7}}{42^{-2}}=42^{-7-(-2)}=42^{-5}[/tex]
[tex]\textsf{C}\quad \dfrac{6^{-5}}{7^5}=6^{-5} \cdot 7^{-5}=(6 \cdot 7)^{-5}=42^{-5}[/tex]
[tex]\textsf{D}\quad 42^0 \cdot 42^5=1 \cdot 42^5=42^5[/tex]
[tex]\textsf{E}\quad \left(\dfrac{1}{42^{-5}}\right)^{-1}=(42^5)^{-1}=42^{-5}[/tex]
[tex]\textsf{F}\quad \left(\dfrac{6^{-5}}{7^5}\right)^{-1}=\left(6^{-5} \cdot 7^{-5}\right)^{-1}=\left(\left(6 \cdot 7\right)^{-5}\right)^{-1}=42^{-5(-1)}=42^5[/tex]
Check one by one
#A
[tex]\\ \rm\Rrightarrow 42^{-3}42^8=42^{-3+8}=42^5[/tex]
#B
[tex]\\ \rm\Rrightarrow \dfrac{42^{-7}}{42^{-2}}=42^{-7+2}=42^{-5}\checkmark[/tex]
#C
[tex]\\ \rm\Rrightarrow \dfrac{6^{-5}}{7^5}=6^{-5}7^{-5}=42^{-5}\checkmark[/tex]
#d
[tex]\\ \rm\Rrightarrow 42^0.42^5=42^{0+5}=42^5[/tex]
#e
[tex]\\ \rm\Rrightarrow \left(\dfrac{1}{42^{-5}}\right)^{-1}=42^{-5}\checkmark[/tex]
#f
[tex]\\ \rm\Rrightarrow \left(\dfrac{6^{-5}}{7^5}\right)^{-1}[/tex]
[tex]\\ \rm\Rrightarrow (42^{-5})^{-1}[/tex]
[tex]\\ \rm\Rrightarrow 42^5[/tex]
many persons can ride the elevator if each weighs 45kg?
Answer:
I cannot tell the answer if u don't write the question properly u have to write how much person is in the elevator then only I can calculate
Which three side lengths cannot form a triangle
Answer:
The answer sorta varies, for example
"1² + 2² = 3² " cannot form a triangle, same with 4² + 5² = 10², there are actually more numbers but im not sure XD
LMK if this is wrong <3
Help please -math- I’m lazy
this is the question
Answer:
1.D
2.B
3.F
4.E
5.A
6.C
A singular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inches tall. What is the area of the frame not covered by the painting?
Answer: 432
Step-by-step explanation:
28 × 24 = 672
24 × 20 = 240
Difference = 672 - 240
Please help me with this math problem!! Will give brainliest!! :)
Step-by-step explanation:
x² x<1
-x²+4x-1 1<x<3
x-3 x>3
Feel free to ask question in the comments
Maggie takes three electives: art, Spanish, and creative writing. She calculated the mean absolute deviation of the points she earned throughout the year in each class.
art: mean absolute deviation of 2. 1
Spanish: mean absolute deviation of 0. 8
creative writing: mean absolute deviation of 2. 7
In which elective were her scores the most spread out?
Due to the higher value of the mean absolute deviation, her scores were most spread out in creative writing.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean. Hence, a higher value of the mean absolute deviation means that the data-set is more spread out.In this problem, creative writing has the highest mean absolute deviation, hence, it is the elective in which her scores were most spread out.
More can be learned about the mean absolute deviation at https://brainly.com/question/3250070
Rectangle A′B′C′D′ is a dilation of rectangle ABCD.
What is the scale factor?
Enter your answer in the box.
Answer:
Scale factor = 4
If you multiply by 4 the two sides of ABCD, you will get the corresponding sides of A’B’C’D’
answer should be given in m/s
Answer:
1.2 m/s
Step-by-step explanation:
when t = 0, your equation after expanding the brackets will only be 0^2 + 4.3*0 + 4*0.3 = 1.2
WILL GIVE BRAINEST!!!Need help right now
Answer:
See below ~
Step-by-step explanation:
Solving for x in ΔLMN
6x + 3 + 4x - 10 + 5x + 7 = 18015x = 180x = 12Angles in ΔLMN
(6x + 3)° = 6(12) + 3 = 75°(4x - 10)° = 4(12) - 10 = 38°(5x + 7)° = 5(12) + 7 = 67°Solving for y in ΔSTU
5x + 3y + 9y - 7 + 6x - 5 = 18011x + 12y - 12 = 18011(12) + 12y = 192132 + 12y = 19212y = 60y = 5Angles in ΔSTU
(5x + 3y)° = 5(12) + 3(5) = 60 + 15 = 75°(9y - 7)° = 9(5) - 7 = 45 - 7 = 38°(6x - 5)° = 6(12) - 7 = 72 - 7 = 67°⇒ Their angles are equal (in ΔLMN and ΔSTU)
⇒ ΔLMN and ΔSTU are similar
(3,-2) (4,6) what is the slope
[tex]\text{slope} = \dfrac{6-(-2)}{4-3} = \dfrac{6+2}1 = 8[/tex]
A circle with two chords is shown below. What is the value of x? Round your answer to the nearest tenth.
Numbers given are 8, 20, and 36
The theorem state that the products of the lengths of the line segments on each chord are equal. The value of x from the figure is 15.75
Intersecting chord theoremThe theorem state that the products of the lengths of the line segments on each chord are equal.
According to the given diagram;
9 * 21 = 12 * x
189 = 12x
Divide both sides by 12
12x/12 .= 189/12
x = 189/12
x = 15.75
Hence the value of x from the figure is 15.75
Learn more on Intersecting chord theorem here:https://brainly.com/question/23732231
#SPJ1
Pick a square that doesn’t belong with the others and explain why you made your choice.
the third square (8 + 7). all other squares equal 14, but that one equals 15
A chef uses salt and sugar in the ratio 2:7 to make a sauce. The chef uses 133 g of sugar. How much salt does he use?
Find the mean and the median of this data set: 9, 6, 5, 3, 24, 7, 4, 2
Answer: Median is 5
Mean is 7.5
Step-by-step explanation: Median: arrange from smallest to largest and chose the middle number
Mean is the average. Add all the numbers and divide by 8
What is the theoretical probability of
randomly picking a triangle from the shapes
below?
Answer:
A, 3/7.
Step-by-step explanation:
There are 7 shapes overall shown. Since there are 3 triangles, we need to do 3/7.
Answer: 3/7
Step-by-step explanation:
Number of triangles / total number of shapes
I need a little help here
Answer:
24
Step-by-step explanation:
The height of the rectangular prism is 4 units. Each layer is 6 units so 6 x 4 = 24.
Find four consecutive odd integers such that if the sum of the first and fourth is multiplied by three, the result
is 12 less than four times the third.
Answer:
-7, -5, -3, -1
Step-by-step explanation:
Let x be the smallest of the four consecutive odd integers. Then the next three consecutive odd integers are x+2, x+4, and x+6. We have:
[tex]3(x + x + 6) = 4(x + 4) - 12[/tex]
[tex]3(2x + 6) = 4(x + 4) - 12[/tex]
[tex]6x + 18 = 4x + 16 - 12[/tex]
[tex]6x + 18 = 4x + 4[/tex]
[tex]2x = - 14[/tex]
[tex]x = - 7[/tex]
So the four consecutive odd integers are -7, -5, -3, and -1.
Re-write the quadratic function below in Standard Form
y=8(x+6)(x-2)
Answer:
y = 8x^2 + 32x - 96.
Step-by-step explanation:
y=8(x+6)(x-2)
= 8(x^2 - 2x + 6x - 12)
= 8(x^2 + 4x - 12)
= 8x^2 + 32x - 96.
Question 2 of 10
Solve (x – 4)2 = 5.
O A. x=-4+25
O x X
O B. x=514
O C. x = 9 and x= -1
O D. x = 4+15
Answer:
No answer
the answer is 6.5
Step-by-step explanation:
[tex](x - 4)2 = 5 \\ 2x - 8 = 5 \\ 2x = 13 \\ x = \frac{13}{2} = 6.5[/tex]
Mike walks mile in half an hour. Which of the following represents his walking speed in miles per
hour?
A. 1/2 mph
B. 1/8 mph
C. 8 mph
D. 3/4 mph
Answer:
Step-by-step explanation:
distance = rate [tex]*[/tex] time
1 (mile) = rate [tex]*[/tex] 0.5 (hours)
[tex]1/0.5 =[/tex] rate
rate = 2 mph...
That however is not answer choice. I'm guessing the number in front of the mile didn't copy over. You can use the same method I did, but just plugging in the actual number instead of 1.
Lin and Priya were working on solving this system of equations.
Lin's first move is to multiply the first equation by 3.
Priya's first move is to multiply the second equation by 2.
Explain why either move creates a new equation with the same solutions as the original equation.
Please help me
Will mark BRAINLIEST and give extra points
Answer:
Step-by-step explanation:
1 and 4 are adjacent supplementary angles. This will mean that 180-68=112
<4=112 degrees
<3 is the same as 1 which is 68 since they are vertical angles.
<2 is also 112
Answer:
2=112
3= 68
4= 112
Step-by-step explanation:
Each line adds to 180
So subtract 68 and it will give you the opposite side(2) 112
the angle across from it has tha same value so 2 and 4 are the same mesure
A group of people gathered to watch a baseball game. While talking, they realized that 12 of
them are Boston Red Sox fans, and 18 of them are fans of other teams.
What is the probability that the favorite team of a randomly selected baseball fan is the
Boston Red Sox?
Write your answer as a fraction or whole number.
P(Boston Red Sox) =
Submit
Answer:
P(Boston Red Sox) = 2/5
Step-by-step explanation:
The probability that the favorite team of a randomly selected baseball fan is the Boston Red Sox can be found by dividing the number of Boston Red Sox fans by the total number of fans.
It's given that there are 12 Boston Red Sox fans and 18 other fans. Therefore the total number of fans is 12 + 18 = 30.
If we divide the number of Boston Red Sox fans by the total number of fans, we get 12/30 = 2/5. Finally, we have P(Boston Red Sox) = 2/5.
A store sells 4 cans for $11. what is the price of 9 cans?
Answer:
24.75
-------------------------------------------------------------------------------------------------------------
SolveSince the customers pay 11 dollars for 4 cans, first find how much one can costs by dividing the cost of 4 cans by the amount of cans given.
[tex]11 / 4 = 2.75\[/tex]
Now that we know they're paying 2.75$, multiply 2.75 by 9 to find the result.
[tex]2.75 * 9 = 24.75\[/tex]
That said, the answer is 24.75$
Answer:
$ 24 . 75
Step-by-step explanation:
Price PER can = 11 /4
Multiply this for 9 cans
9 * 11/4 =
Need help with this geometry question!
Answer:
[tex]v = \pi \: {r}^{2} \: h \\ but \: v \: = 1573\pi \\ h = \frac{v}{ {r}^{2} } \\ h = \frac{1573}{121} \\ h = 13 \: units[/tex]
I hope it's helpful
there are 63,360 inches in a mile. how many inches are in 4,200 miles ?
Please Help! will give brainlest!
Answer:
[tex]\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]
Step-by-step explanation:
we want to solve the following trigonometric equation:
[tex] \displaystyle - 2 { \sin}^{2} (\theta )+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]
The first step of solving trigonometric equation is to rewrite the equation in terms of one trigonometric function . With Pythagorean theorem, we know that sin²x=1-cos²x . It will be helpful to rewrite the equation in terms of one trig functions. Therefore, substitute 1-cos²[tex]\theta[/tex] in the place of sin²[tex]\theta[/tex]:
[tex] \displaystyle - 2 (1 - \cos ^{2} ) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]
simplify:
[tex] \displaystyle\implies - 2 (1 - \cos ^{2} (\theta) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies- 2 + \cos ^{2} (\theta)+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies\cos ^{2} (\theta)+ \cos( \theta) -1 = 0 [/tex]
Consider cos² [tex]\theta\implies[/tex] x. Thus,
[tex]2 {x}^{2} + x - 1 = 0[/tex]
solving the quadratic equation yields:
[tex]{x}^{} = \frac{1}{2} \\ x = - 1[/tex]
back-substitute:
[tex] \begin{cases} \cos( \theta) = \dfrac{1}{2} \\ \cos( \theta) = - 1 \end{cases} \theta \in[0,2\pi)[/tex]
take inverse trig in both sides
[tex] \implies \begin{cases} \theta = \dfrac{\pi}{3} + 2n\pi\\\theta= \frac{5\pi}{3} + 2n\pi \\ \theta = \pi + 2n\pi\end{cases} \theta \in[0,2\pi) \\\\\implies\theta= \frac{\pi}{3}+\dfrac{2n\pi}{3},\theta\in [0,2\pi)\\\text{when n=0}\\ \implies \theta = \frac{\pi}{3} \\ \text{when n=1}\\ \theta= \pi\\ \text{when n=2}\\\theta=\frac{5\pi}{ 3} [/tex]
In conclusion,
[tex]\displaystyle\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]
⚠️‼️⚠️ HELPPP PLEASE WILL GIVE POINTS ‼️⚠️⚠️
Answer: m∠MON = 57°
Step-by-step explanation:
35, 150, 305, 420, 535, 650 find the last number
Answer:
765
Step-by-step explanation:
each time it is adding 115 to the number before it.
650+115=765
Answer: 8
I hope this helps! :)