Answer:
x = 9.125 and 0.875
Step-by-step explanation:
Given the expression
log (x² + 8) = 1 +log(x)?
This can also be written as;
log (x² + 8) = log 10 +logo(x)
log (x² + 8) = log(10x)
(x² + 8) = (10x)
x² -10x + 8 = 0
Factorize;
x = 10±√(-10)²-4(8)/2
x = 10±√100-32/2
x = 10±√68/2
x = 10±8.25/2
x = 10+8.25/2 and 10-8.25/2
x = 18.25/2 and 1.75/2
x = 9.125 and 0.875
solve the system of linear equations by substitution x=17-4y y=x-2
9514 1404 393
Answer:
(x, y) = (5, 3)
Step-by-step explanation:
We can use the second equation to substitute for y in the first.
x = 17 -4(x -2)
5x = 25 . . . . . . . . eliminate parentheses, add 4x
x = 5
y = 5 -2 = 3
The solution is (x, y) = (5, 3).
Simplify -4 + (-3) + 6.
Answer:
-7+6
Step-by-step explanation:
How many infinity are in 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
The Unit Circle
What is tan 45°?
a. 0
b. 1
c. -1
d. 1/2
Please select the best answer from choices provided
Answer:
B. 1
Step-by-step explanation:
I calculated it logically
Using the figure on the left, what is the measure of
LZWY and ZZYW?
Y
N
60° + c + 90° = 180°
60°
C
cº + dº + 90° = 180°
d =
120°60°
60°
DX
w
Answer: first 30 second is 60
Step-by-step explanation:
Answer:
30,60
Step-by-step explanation:
The ratio x : y is equal to 4x : 3.
Work out the value of y.
y =
Answer:
y=3/4
Step-by-step explanation:
4x/3 = x/y
or, 1/y= 4/3
or, y=3/4
Answer:
y = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Express the ratios in fractional form
[tex]\frac{x}{y}[/tex] = [tex]\frac{4x}{3}[/tex] ( cross- multiply )
4xy = 3x ( divide both sides by 4x )
y = [tex]\frac{3x}{4x}[/tex] = [tex]\frac{3}{4}[/tex]
What is the area of the shaded region of this circle?
A plane flies 35 km in the direction N 30° W, then flies 60 km in the direction N 60° E.
For a certain class, the ratio of the number of female students to the total number of students is 2 to 5. If
there are 35 students in the class, how many are female students?
9514 1404 393
Answer:
14
Step-by-step explanation:
If 2/5 of the 35 students are female, their number is ...
(2/5)(35) = 14
There are 14 female students.
In an examination a candidate scored 5 marks for a correct answer, -2 for an incorrect answer and 0 marks for a question that has not been attempted. The examination comprises 20 questions. Ananya has answered 12 correct answer and 5 incorrect answers . Find her total score.
Answer:
Ananya's total score was 50 marks.
Step-by-step explanation:
Given that in an examination a candidate scored 5 marks for a correct answer, -2 for an incorrect answer and 0 marks for a question that has not been attempted, and the examination comprises 20 questions, and Ananya has answered 12 correct answer and 5 incorrect answers, to find her total score the following calculation must be performed:
(12 x 5) + ((20 -12 - 5) x 0) + (5 x -2) = X
60 + (3 x 0) + (-10) = X
60 + 0 - 10 = X
50 = X
Therefore, Ananya's total score was 50 marks.
Alejandro bought $3.50 worth of pencils and erasers at the school store. Pencils cost $0.50 apiece, and erasers cost $0.75 apiece. Which equation written in standard form represents the number of pencils, p, and the number of erasers, e, that Alejandro bought?
A. 0.75e = 3.50 – 0.50p
B. 0.50p + 0.75e = 3.50
C. 3e = 14 – 2p
D. 2p + 3e = 14
Answer:
I would say that is is B
Step-by-step explanation:
Just put the answer
Please make be brainliest or like rate my answer please and thanks <3
I need this please help me
An important problem in industry is shipment damage. A electronics distribution company ships its product by truck and determines that it cannot meet its profit expectations if, on average, the number of damaged items per truckload is greater than 12. A random sample of 12 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.64. Select a 99% confidence interval for the true mean of damaged items.
a) [48.26, -30.02]
b) [10.67, 11.93]
c) [-0.6285, 0.6285]
d) [10.69, 11.91]
e) [11.37, 12.63]
f) none of the above
Answer:
the answer is b) (10.67,11.93)
Step-by-step explanation:
hope this helps
FIRST TO ANSWER GETS BRAINLYEST WHATEVER ITS CALLED, PLEASE I NEED THIS DONE TODAY. JUST LOOK AT THE PICTURE
Answer:
27.9
Step-by-step explanation:
3*3.1 = height = 9.3
9.3 * 3
point A, located at (- 11, -7) on the coordinate plane, is reflected over the x- axis to form point B. Then point B is reflected over the y-axis to form point C. What are the coordinates of points B and C?
Answer:
Point B: (_11 , 7) Point C: (11, -7)CORRECT ME IF THERE'S WRONG!
Which graph below has an EULER PATH?
Answer:I think it is a
Step-by-step explanation:
Answer:
Graph a) is a Euler Path
Odd at D and F
Step-by-step explanation:
A graph has an Euler circuit if and only if the degree of every vertex is even.
A graph has an Euler path if and only if there are at most two vertices with odd degree.
a) Odd at D and F - Euler Path
b) No odds - Euler Circuit
c) Odd at A, C, E, F
d) Odd at A, B, C, D
Will likes two brands of healthy breakfast cereal. In Superfiber
fiber in one cup. In Fiber Oats cereal, there are 4 grams of fib
the number of cups of Superfiber Will ate this week and let yr
Fiber Oats he ate this week. Which inequality represents the s
this week contained at least 30 grams of fiber?
O 5x + 4y = 30
O 5x + 4y = 30
O 4x + 5y = 30
4x + 5y = 30
Answer:
The first one I Took the test.
Step-by-step explanation:
Once a day for seven days, Melanie recorded the temperature in °F) of a stream near her home. Which box plot correctly shows
Melanie's data?
A)
B)
C)
D)
Answer:
minimim is 31
1st quartile is 42
median is 50
3rd quartile is 55
maximum is 62
Step-by-step explanation:
couldn't read the plots but these are the data for it:
minimim is 31
1st quartile is 42
median is 50
3rd quartile is 55
maximum is 62
Answer:
B
Step-by-step explanation:
bc i used it cornball
Of the 6 people attending a seminar, 3 have red hair.
What is the probability that a randomly selected person will have red hair?
Write your answer as a fraction or whole number.
Answer:
1/2
Step-by-step explanation:
Total -- 6 people
3 people -- 3/6 = 1/2
Therefore, the answer is 1/2
The probability that a randomly selected person will have red hair for this case is obtained being 1/2 (in fraction form) or 0.5 (in decimal form).
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, we're given that:
Number of people from which selection is done = 6Total number of people of out of those 6 people having red hairs = 3One person is selected in random.We can assume that all the people are equally likely to get selected for this case as selection was done randomly, so all of the 6 people was likely to get chosen without bias.
Now, let we take:
E = event of selecting a red hair person
Then, the number of ways a selection ends up making E happen = 3 (as there are 3 people with red hair, so any of those 3 getting selected will make E happen).
Total number of ways selection can be done = 6 (as selection is done from those 6 people).
Thus, we get:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)} = \dfrac{3}{6} = \dfrac{1}{2} = 0.5[/tex]
Thus, the probability that a randomly selected person will have red hair for this case is obtained being 1/2 (in fraction form) or 0.5 (in decimal form).
Learn more about probability here:
brainly.com/question/1210781
#SPJ2
which of the following graphs could describe the system of equations
a) blue
b)purple
c)green
d)pink
Answer:
It is purple
Step-by-step explanation:
Answer:
purple
because they interset each other
Step-by-step explanation:
Does anybody have the answers to the probability and statistics unit 8 correlation and regression unit test for connections academy??
WILL MARK THE BRAINLIEST
Can somebody help me with 1 Nd 2
Answer:
1(A)X=3/12
=1/4
1(B)X=14-10
=4
1(C)X=24/6
=4
1(D)X=8+4
=12
2 NO
=He got that answer by dividing $40 by 8
Step-by-step explanation:
Hope it helps u!!
4 divided by 6,583
Answer:
1645.75 i think
Step-by-step explanation:
Answer:
dude, you have a calculator for a reason
Step-by-step explanation:
0.0006076257 that's the answer btw hope that helps
Match the values with the statistical measures for these data points. 34,37,39,32,48,45,53,62,58,61,60,41
Answer:
I do not know the full answer, But I do know this;
Maximum: 62
Minimum: 32
Step-by-step explanation:
Pleaseeee helppppp!!
Answer:
60.4
Step-by-step explanation:
90-29.6= 60.4
complimentary means either of two angles whose sum is 90°.
HELP IF RIGHT I WILL MARK BRAINLIEST!!!! TRUST
Answer:
I came up with 412cm^2
Step-by-step explanation:
10*12+(12*2)2+(10*2)2+6*8+(8*3)2+(6*3)2+(12*10-6*8)
Emilio has 7 boxes. Each box weight 3/4 kilograms. Whatvis the total weight
Answer:
Step-by-step explanation:
(7 boxes)*(0.75 kg/box) = 9 1/3 kg
Emilio has 7 boxes. Each box weight 3/4 kilograms. What is the total weight?
____________________Solution :-Given Information :-Number of boxes Emilio has ➢ 7 boxes Weight of each box ➢ [tex]\sf \frac{3}{4}\small \: Kg [/tex] eachTo Find :-The total weight of the boxes.Concept Used :-We will simply multiply the weight of each box with the number of boxes, the product will be the total weight of all the boxes, which Emilio has.Calculation :-⇒ Weight of each box × Number of boxes = Total Weight of all the boxes
Substituting the values, We get,
⇒ [tex]\sf \frac{3}{4}\small \: Kg \times 7[/tex]
Calculating further, We get,
⇒ [tex]\sf 5.25 \: Kg [/tex]
∴ Total Weight of all the boxes is 5.25 Kg
____________________Final Answer :-The total weight of 7 boxes Emilio has is 5.25 Kg.
____________________A 10-foot ladder placed on level ground leans against the side of a house. The ladder reaches a point that is 9.2 feet up on the side of the house.
(a) What is the measure of the angle formed by the ladder and the level ground? Round your answer to the nearest degree. Show your work.
(b) The Occupational Safety and Health Administration (OSHA) sets standards for a variety of occupations to help prevent accidents and other safety hazards. OSHA’s standard for the angle formed by a ladder and level ground is . The same 10-foot long ladder is placed against the building according to OSHA’s safety standard.
What is the distance between the foot of the ladder and the foot of the building? Round your answer to the nearest tenth. Show your work.
Answer:
a. 67°
b. 3.9 ft
Step-by-step explanation:
a) the angle formed by the ladder and the level ground = sin`¹ 0.92 = 67°
b) the distance between the foot of the ladder and the foot of the building = 10× cos 67°
= 10 × 0.39 = 3.9 ft
Emmie rolls a dice three times. What is the probability that she will only roll numbers greater than two on all of her rolls?
Someone Please HELP ASAPP!!! I have to turn in now!! I'll Give 100POINTS!!!
Question 10 (Essay Worth 10 points)
(08.01, 08.04 MC)
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 8, 0. The vertex is at 4, 270.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Answer:
A) intercept: 0 profit : Maximum(max) : max profit. increasing x <4 ; decreasing x > 4
B) average slope: ≈50, about $50 increasing profit for each $1 increasing in price.