Answer
-4
Step-by-step explanation:
you make them equal to each other and find x and then dounble it which is -4.
Write the expression in exponential form. logb M = y
Answer:
[tex]b^y=M[/tex]
Step-by-step explanation:
By definition of logarithms:
[tex]b^y=M[/tex]
Answer:
[tex]b^y=M[/tex]
Step-by-step explanation:
Recall the definition of logarithms: [tex]log_{b}M=y[/tex], where [tex]b^y=M[/tex].
The answer would be [tex]b^y=M[/tex].
For some examples, consider:
[tex]log_{2}8=y[/tex]. In other words: (b=2 and M=8), [tex]2^y=8[/tex]. Thus, [tex]y=3[/tex]. So:
[tex]log_{2}8=3[/tex]; [tex]2^3=8[/tex]
In one year, a satellite orbiting the Earth travels 9.6 x 10^10 m (meters). Which
of the following is the best way to rewrite this quantity, using more
appropriate units?
A. 9.6 x 10^10 m
O B. 9.6 x 10^7 km
O C. 9.6 x 10^12 cm
D. 9.6 x 10^13 mm
Answer: B: 9.6 x 10 7 km
Step-by-step explanation:
please please help
25 POINTSS
Answer:
P ( not win) = (m-l) / m
Step-by-step explanation:
If there are m tickets and l are winners
m-l are not winners
P( not winning) = non winners/ total
(m-l) / m
Answer:
Step-by-step explanation:
P ( not win) = (m-l) / m
Find the measurement of the angle indicated for the trapezoid.
A) 95
C) 110°
B) 130°
D) 93
Answer:
D) 93°
Step-by-step explanation:
Right side solving for ?: 180 - 87 =93
Just if you want to figure out other angels:
<RSP = <PQS. --> 87 = 87
<SRQ = <PQR --> 93 = 93
Find the area of the polygon XYZ that has its vertices at X(–3, 6), Y(–3, 1), and Z(5,1). Question 8 options: A) 26 square units B) 20 square units C) 40 square units D) 6.5 square units
Answer:
Area ≈ 20 square units
Step-by-step explanation:
Using Distance Formula to Find the lengths
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Length XY:
=> [tex]\sqrt{(-3+3)^2+(1-6)^2}[/tex]
=> [tex]\sqrt{25}[/tex]
=> 5 units
Length YZ:
=> [tex]\sqrt{(5+3)^2+(1-1)^2}[/tex]
=> [tex]\sqrt{64}[/tex]
=> 8 units
Length ZX:
=> [tex]\sqrt{(-3-5)^2+(6-1)^2}[/tex]
=> [tex]\sqrt{89}[/tex]
=> 9.4
Perimeter:
=> 5+8+9.4
=> 22.4
Semi-Perimeter:
=> 11.2
Using Heron's Formula to find the area:
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where s is semi perimeter and a,b and c are side lengths
=> Area = [tex]\sqrt{11.2(11.2-5)(11.2-8)(11.2-9.4)}[/tex]
=> Area = [tex]\sqrt{(11.2)(6.2)(3.2)(1.8)}[/tex]
=> Area = [tex]\sqrt{399.9}[/tex]
=> Area = 19.99
=> Area ≈ 20 square units
Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
If he chooses box A, what is the probability
he chooses a milk chocolate?
% (1 d.p.)
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The probability of picking box A;
P(A) = 1/2
Box A has 5 dark chocolates and 10 milk chocolates.
The probability of picking a milk chocolate from box A;
P(milk in A) = [tex]\frac{10}{15}[/tex] = [tex]\frac{2}{3}[/tex]
P(A) and P(milk in A) = [tex]\frac{1}{2}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{1}{3}[/tex]
Which are zeros of the function represented by this graph?
X=1 and x=9
X=2 and x=4
X=-2 and x=4
X=0 and x=8
Answer:
x = - 2 and x = 4
Step-by-step explanation:
The zeros of the function are the values of x where the graph crosses the x- axis ( also called the x- intercepts )
The graph crosses the x- axis at
x = - 2 and x = 4 ← zeros
(07.08 MC) The graph below shows the price, y, in dollars, of different amounts of peanuts, x, in pounds: Which equation best represents the relationship between x and y? (5 points) Select one: a. y = x + 6 b. y = 3x c. y = 6x d. y = x + 3
Answer:
B. y = 3x
Step-by-step explanation:
Since the y-axis is going up by 6's and the x-axis is going up by 2's, we can see that we would need to multiply the x-axis values by 3 to get our y-values. Therefore, our linear equation for this graph is y = 3x.
KELLY Connect
Deidra Roberts
CONTACT CENTER OUTSOURCING
Supervisor: "You are currently scheduled to work Monday through Friday of next
week. I need you to try to assist 9 more customers per day to hit your goal for the
week."
Employee: "That seems very realistic. I currently assist an average of 52 customers
per day, so the total number of customers l assist per week would be
295
300
304
305
Answer:
305
Step-by-step explanation:
52 customers per day * 5 days per week
260 currently
Now add the 9 per day to find you new goal
52+9 = 61 per day
61 *5 = 30
305 per week is your goal
Solve the equation :
[tex] \cos(x) - \sin(x) = \sqrt{2 } \: cos(3x)[/tex]
Answer:
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
Step-by-step explanation:
Step(i):-
Given cos x - sin x = √2 cos (3 x)
Dividing '√2' on both sides , we get
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
we will use trigonometry formulas
a) Cos ( A + B) = Cos A Cos B - sin A sin B
b) [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]
Step(ii):-
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]
[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
Step(iii):-
General solution of cos x = cos ∝ is x = 2 nπ+∝
we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
The general solution of [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is
⇒ [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]
⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]
[tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]
final answer:-
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
6j + 7 =21 -j pls show work
Answer:
Step-by-step explanation:
6j + 7 = 21 - j
Add 'j' to both sides
6j + 7 + j = 21 - j +j
7j + 7 = 21
Subtract 7 form both sides
7j + 7 - 7 = 21 - 7
7j = 14
Divide both sides by 7
7j/7 = 14/7
j = 2
Answer:
j = 2
Step-by-step explanation:
6j + 7 = 21 - j
6j + j = 21 - 7
7j = 14
j = 14/7
j = 2
(50 pts) Find the odds in favor of rolling two consecutive odd numbers when a pair of dice is rolled.
Answer:
1/4Step-by-step explanation:
Rolling two consecutive odd numbers when a pair of dice is rolled.
There are 3/6 (1, 3, 5) odd numbers on a fair dice.
3/6 = 1/2
The dice is rolled twice.
1/2 × 1/2 = 1/4
Answer:
Your correct answer is 1/4
Step-by-step explanation:
The numbers 1, 3, and 5 are all odd numbers on a fair dice.
3/6 = 1/2
The dice will be rolled 2 times.
1/2 × 1/2 = 1/4
a basket holds 26 cards, and each card has a letter of the alphabet on it. each time a card is drawn, it is returned to the basket before the next card is drawn. what is the probability of selecting a constant on the first draw, a vowel (a,e, i,o or u) on the second draw, and then another constant on the third (and last) draw? a 7/52 b 525/4394 c 2205/17576 c 147/1040
Answer:
2205/17576
Step-by-step explanation:
26 cards
5 vowels , 21 consonants
P( consonant) = consonant / total =21/26
Return the card
26 cards
5 vowels , 21 consonants
P ( vowel) = vowel/total= 5/26
Return the card
26 cards
5 vowels , 21 consonants
P( consonant) = consonant / total =21/26
P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26
2205/17576
Use the matrix tool to solve the system of equations. Choose the correct ordered pair. 4x-7y=-12 and -2+6y=11 plz help!!
Answer:
Option C.
Step-by-step explanation:
Note: x is missing in the second equation.
The given equations are
[tex]4x-7y=-12[/tex]
[tex]-2x+6y=11[/tex]
It can we written as
[tex]\left[\left.\begin{matrix}4 & -7\\ -2 & 6\end{matrix}\right|\begin{matrix}-12\\ 11\end{matrix}\right][/tex]
Divide row 1 be 4.
[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ -2 & 6\end{matrix}\right|\begin{matrix}-3\\ 11\end{matrix}\right][/tex]
Applying [tex]R_2\to R_2+2R_1[/tex], we get
[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & \dfrac{5}{2}\end{matrix}\right|\begin{matrix}-3\\ 5\end{matrix}\right][/tex]
Applying [tex]R_2\to \dfrac{2}{5}R_2[/tex], we get
[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & 1\end{matrix}\right|\begin{matrix}-3\\ 2\end{matrix}\right][/tex]
Applying [tex]R_1\to R_1+\dfrac{7}{4}R_2[/tex], we get
[tex]\left[\left.\begin{matrix}1 & 0\\ 0 & 1\end{matrix}\right|\begin{matrix}\dfrac{1}{2}\\ 2\end{matrix}\right][/tex]
Since [tex]x=\dfrac{1}{2}\text{ and }y=2[/tex], therefore required ordered pair is [tex](\dfrac{1}{2},2)[/tex].
Hence, option C is correct.
Every 7th person who enters a store is given a survey to complete. Which type of sampling method is described in this situation?
A. voluntary sample
B. convenience sample
C. simple random sampling
D. systematic random sampling
Answer:
D. Systematic Random Sampling
Pls mark as Brainliest
Find the distance of the line segment joining the two points: (sqrt 2,1) and (0, -sqrt 2)
Answer:
2.8
Step-by-step explanation:
√(-√2-1)²+(0-√2)²
the probability of spinning an odd number on a spinner is 62 percent . What is the probability of not spinning an odd number?
Subtract the percent of getting odd from 100 percent.
100 - 62 = 38%
If ∠a = 90°, find the measures of ∠b, ∠c and ∠d.
Answer:
m∠b = 35°
m∠c = 145°
m∠ d = 35°
Step-by-step explanation:
To find m∠b, we use Definition of Supplementary Angles:
180 - (90 + 55) = 35°
To find m∠c, we also use Definition of Supplementary Angles:
180 - 35 = 145°
To find m∠d, we use Vertical Angles Theorem:
m∠b = m∠d = 35°
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
Each graph below represents a function. Drag the correct domain for each function
into the box under its graph.
CLEAR
Answer:
1st function: all negative real numbers
2nd function: all real numbers
3rd function: all real numbers except -3 ≤ x ≤ 3
4th function: all real numbers between -3 and 3
Step-by-step explanation:
In the picture attached, the question is shown.
The domain is the set of all the numbers that the independent variable (here, x) can assume.
In this exercise we have to identify which types of graph correspond and correlate them with the given sentences, in this way we find that:
1)all negative real numbers
2) all real numbers
3) all real numbers except -3 ≤ x ≤ 3
4) all real numbers between -3 and 3
So then when we deal with graph it is important to observe its axes then:
1) In the first case we have to be all negative and real numbers since it is only found in this part of the graph.
2) The second graph reports all the real numbers, that is, the numbers that are in the positive part and in the negative part.
3) The third case is very similar to the second, where we find all the real numbers, but the graph "skips" the numbers 3 and -3.
4) Finally, the last graph is just between the values of 3 and -3 with a line delimiting these values.
See more about graphs at brainly.com/question/14375099
14. Solve 10 + 6(-9 – 4x) = 10(x - 12) + 8.
O A. X = 17
OB. X = 2
O C. X = -18
O D. X = -6
Answer:
B
Step-by-step explanation:
[tex]10+6(-9-4x)=10(x-12)+8[/tex]
[tex]10-54-24x=10x-120+8[/tex]
[tex]-44-24x=10x-112[/tex]
[tex]-44=34x-122[/tex]
[tex]78=34x[/tex]
[tex]x=2[/tex]
HELP ME ITS DUE TODAYYY
Answer:
1/11
Step-by-step explanation:
Out of eleven of the sections, Bridget only takes care of one, so she took care of one out of eleven (1/11) sections.
Hope this helped! :)
Answer:
1/11
Step-by-step explanation:
Since there are 11 equal sections in total, we know that 11 is the denominator => the amt. of garden her neighbor plants is excess info. so we can cross that out. => Bridget plants 1 section of the whole garden so that is our numerator.
Thus, we have our answer of 1/11
if a square is dilated by a factor of 2 what is the measure of each individual angle
Answer:
4:1
Step-by-step explanation:
If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².
The measure of each individual angle will be of 90°
What is a quadrilateral ?A quadrilateral is a 2D figure which has 4 sides.
According to the given question a square is dilated by a factor of 2.
Suppose the side of the original square was x cm.
∴ We know the area of he square will be side² which is
= (x)²
= x².
Now the square is dilated by a factor of 2.
∴ Side of the new square will be 2x and the area of the new square will be (2x)² which is 4x².
But the measure of each individual angle will be same and they are all of 90°.
learn more about quadrilateral here :
https://brainly.com/question/13805601
#SPJ2
The number of months in y years
Answer:
12y
Step-by-step explanation:
There are 12 months in a year
Take the number of years and multiply by 12
12y is the number of months
Answer:
12y
Step-by-step explanation:
To find the number of months in a certain amount of years, there are twelve months in a year, so you would just multiply twelve by the number of years. Hope this helped!
Brainliest is always really appreciated :)
(6,-6);slope=5/6 write the equation of the line
Answer:y=5/6x + -7
Step-by-step explanation:
Convert 5pi/4 radians time degree measure
Answer:225
Step-by-step explanation:
I thought of a number, divided it by 11 and added seven. I got 19. What was my number?
Answer: 132
Step-by-step explanation:
First, you write your equation. Let your number be X.
Here is your equation.
(x ÷ 11) + 7 =19
Now, you do the opposite. What is the opposite of addition? Subtraction. So, you do 19 - 7=12
But we still have x ÷ 11 and now we would do 12 x 11, which is 132 and that should be the answer. Hope this helps!
What is the measure of angle C?
A. 147°
B. 114
c. 33
D. 66
Answer:
B. 114 deg
Step-by-step explanation:
Since sides AC and BC are congruent, then angles A and B are congruent.
m<A + m<B + m<C = 180
33 + 33 + m<C = 180
m<C + 66 = 180
m<C = 114
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the theoretical probability of randomly drawing a red marble and then a green marble? 10% 68% 9.6% 17%
Answer:
10%
-------------------------------------------------
Total marbles = 5 + 8 + 12 = 25
P(red then green) = (5/25)(12/24) = 1/10
1/10 = 0.1 = 10%
if m(x) =x+5/x-1 and n(x) =x-3 which function has the same domain as (m.n)(x)
A) h(x) =x+5/11
B) h(x) =11/x-1
C) h(x)=11/x-4
D) h(x) =11/x-3
Answer:
Step-by-step explanation:
m (x) = (x+ 5) / (x -1) and n(x) = x - 3.
[tex]m(x) = \dfrac{x+5}{x-1}[/tex]
Hence
[tex]m(n) = \dfrac{n+5}{n-1}[/tex]
but n is a function and n = x-3. Now, replace value of n on m (n)
[tex](m(n))= \dfrac{(x-3)+5}{(x-3)-1}[/tex]
simplify it
[tex](m\bullet n)(x) =\dfrac{x+2}{x-4}\\[/tex]
since (m . n) (x) is a fraction function, its domain will be all x such that the denominator is NOT 0. That is
[tex]x-4\ne 0\rightarrow x\ne 4[/tex]
among options, only C has the same denominator with [tex](m\bullet n)(x)[/tex]
Hence their domains are the same.
Answer:
C h(x) = 11/x-4
Step-by-step explanation:
WILL AWARD BRAINLIEST
Note: This is the same question as #3, but the third row of the proof is different!
Statements
Reasons
0
DE || AB
Given
E
B
CDE
Given: DE || AB
Prove: AABC-
ZCE
AABCN
Answer:
ΔABC is similar to ΔCDE
Step-by-step explanation:
Statement Reason
DE ║AB Given
∠CDE ≅ ∠CAB Corresponding Angles Theorem
∠C ≅ ∠C Reflexive property of congruence
ΔABC is similar to ΔCDE AA postulate
The Corresponding Angles Theorem states: If two parallel lines (DE and AB) are cut by a transversal (CA), then the pairs of corresponding angles are congruent (∠CDE and ∠CAB).
Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself (∠C is congruent to itself).
Angle Angle (AA) postulate states that two triangles are similar if they have two corresponding angles congruent (∠CDE ≅ ∠CAB and ∠C ≅ ∠C)