fine the slope of the line
Answer:
C
Step-by-step explanation:
slope = diference in y /diference in x = 0-(-4) / 4-2 = 0+4 /4-2 = 4/2 =2
Log3 (x squared + 7x + 21) = 2
Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
The required solution given equation is x = -3 or -4.
What is logarithm?The logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Given:
The given equation is
[tex]Log 3 (x^{2} + 7x + 21) = 2[/tex]
According to given question we have
By the formula of logarithm we get
[tex]log_{a} b = x\\\a^x = b\\So\\3^2 = x^2+7x+21\\x^2 + 7x + 21 - 9 = 0\\x^2 + 7x + 12 = 0\\(x+3)(x+4)\\x = -3 or -4[/tex]
Therefore, the required solution given equation is x = -3 or -4.
Learn more details about logarithm here:
https://brainly.com/question/28346542
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Joyce's father earns vacation days at the rate of 13 vacation days every 26
weeks. How many vacation days does he earn in one week?|
Answer:
1/2 day
Step-by-step explanation:
set up a proportion:
13 vacation days = # vacation days ('v')
26 weeks 1 week
cross-multiply:
26v = 13
v = 13/26
v = 1/2
2) Key components of financial planning include all of the following except:
A) Write out a detailed plan for accomplishing your goals
B) Replace money myths with money truths
C) Allow your financial planner to make all of your major money decisions
D) Regularly monitor and reassess your financial plan
Answer:
b
Step-by-step explanation:
i took the test pls mark me the brainliast
Write a system of equations to represent the scenario.
2) Clark and Bruce went to Taco Hut for lunch. Clark bought 4 burritos and 5 tacos, which cost him $6.71. Bru
bought 5 burritos and 3 tacos, which cost him $7.12.
Answer:
Step-by-step explanation:I need the same answer lol
Answer:
Step-by-step explanation:
what is the answer 3.3010 x 10^23=
In a study by the Department of Transportation, there were a total of 95 drivers that were pulled over for speeding. Out of those 95 drivers, 33 were men who were ticketed, 8 were men who were not ticketed, 7 were women who were ticketed, and 47 were women who were not ticketed. Suppose one person was chosen at random.
1. What is the probability that the selected person is someone who was not ticketed, given it is a woman?
2. What is the probability that the selected person is someone who was not ticketed, given it is a man?
Enter your answers as whole numbers or fractions in lowest terms.
Answer:
1) 47/54 probability that the selected person is someone who was not ticketed, given it is a woman.
2) 8/41 probability that the selected person is someone who was not ticketed, given it is a man.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
1. What is the probability that the selected person is someone who was not ticketed, given it is a woman?
7 + 47 = 54 total woman
47 were not ticketed. So
[tex]p = \frac{47}{54}[/tex]
47/54 probability that the selected person is someone who was not ticketed, given it is a woman.
2. What is the probability that the selected person is someone who was not ticketed, given it is a man?
33 + 8 = 41 men.
8 were not ticketed. So
[tex]p = \frac{8}{41}[/tex]
8/41 probability that the selected person is someone who was not ticketed, given it is a man.
Write the following statement in if-then form
Two opposite rays form a straight line.
Which of the following is the hypothesis?
if two rays are opposite
if a straight line is formed
Othen rays are opposite
A group of friends wants to go to the amusement park. They have $100 to spend on
parking and admission. Parking is $13, and tickets cost $14.50 per person, including
tax. How many people can go to the amusement park?
Answer:
3
Step-by-step explanation:
14.50 + 13.00 = 27.50
27.50 x 3 = 82.50
Answer:
6
Step-by-step explanation:
\color{red}{14.5}x+\color{blue}{13}=
14.5x+13=
\,\,\color{purple}{100}
100
-\color{blue}{13}\phantom{=}
−13=
\,\,-\color{blue}{13}
−13
Subtract 13 from both sides
\color{red}{14.5}x=
14.5x=
\,\,87
87
\frac{\color{red}{14.5}x}{\color{red}{14.5}}=
14.5
14.5x
=
\,\,\frac{87}{\color{red}{14.5}}
14.5
87
Divide both sides by 14.5
x=
x=
\,\,\boxed{6}
6
\text{6 people can go to the amusement park.}
6 people can go to the amusement park.
12. You downloaded a new movie for 19.99 and have to pay a
sales tax of 6%. How much in all will you pay for the movie?
The price of the movie itself is $19.99.
19.99 x 6% = 1.1994
19.99 + 1.1994 = 21.1894
Answer: $21.19
A new cream was developed to reduce the irritation caused by poison ivy. To test the effectiveness, researchers placed an ad online asking volunteers to participate in the study, and 100 subjects replied. They are informed that one group will receive a new cream and the other group will receive a cream with no active ingredient. The researchers believe that sun exposure may affect the cream’s effectiveness. The subjects are then asked about their outdoor activity, and 42 of the subjects state they spend more than 50% of their day outside. The 42 subjects are randomly assigned to the two treatments. The remaining 58 subjects are also randomly assigned to the two treatments. All subjects are exposed to poison ivy and given their cream. They are asked to return in three days and report their level of irritation.
Is this a randomized block design?
A.) Yes, the subjects could be randomly assigned to two different treatments.
B.) Yes, the participants are grouped by sun exposure, and then both treatments are randomly assigned within each group.
C.) No, the groups have an equal number of subjects.
D.) No, the subjects were not paired by age to determine if it affected the cream’s effectiveness.
Answer:
B: Yes, the participants are grouped by sun exposure, and then both treatments are randomly assigned within each group.
Step-by-step explanation:
Randomized block design is one in which the experimental units are categorized into groups which we call blocks. Thereafter, treatments will be randomly allocated to the experimental units inside each of the blocks.
Now, from the question, we can see that they were grouped in Blocks according to their outdoor activity which is degree of exposure to the sun. Thereafter the individual groups are randomly assigned treatments.
Thus, Option B is correct.
Answer:
b
Step-by-step explanation:
A salesperson earns a commission of $504 for selling 2,800 in merchandise. Find the commission rate. Write your answer as a percentage.
Answer:
18%
Step-by-step explanation:
[tex]\frac{504}{2800}[/tex] = [tex]\frac{x}{100}[/tex] ----> cross multiply
504(100) = 2800x
50400 = 2800x
[tex]\frac{50400}{2800}[/tex] = [tex]\frac{2800x}{2800}[/tex]
18 = x
Commission Rate: 18%
A table of values of a linear function is shown below. Find the output when the input is . Type your answer in the space provided.
input 1234n
output 6420
Answer:
The New Deal was a series of programs, public work projects, financial reforms, and regulations enacted by President Franklin D. Roosevelt in the United States between 1933 and 1939
Danny charges $36 for 3 hours of swimming lessons, Martin charges $90 for 5 hours of swimming lessons. Who offers a better deal?
Answer:
Step-by-step explanation:
36 divided by 3= 12
90 divided by 5= 18
Therefore Danny's lessons are a better deal.
Help!! Picture added:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
X = 4
Step-by-step explanation:
That traingle is an isosceles triangle. You know this because the base angles, 45 and 45 are the same. Another characteristic of an iscosceles traingle is that the base sides ( in this case 4 and X ) are always the same
how many tims can 60 go into 72 pls help
Answer:
The answer is 1 time
Step-by-step explanation:
If you subtract 60 from 72 you come out with 12. Which is not enough for you to subtract 60 again so the answer is 1.
which pair of statements is ture?
Answer:
it is the second one.
Step-by-step explanation:
sorry if wrong though
Using the given diagram, solve for x.
x=
Step-by-step explanation:
since the whole biggest triangle is a right triangle so ,
[tex] {x}^{2} = {20}^{2} + {18}^{2} \\ {x}^{2} = 400 + 324 \\ {x}^{2} = 724 \\ x = \sqrt{724} = 26.907 = 26.91[/tex]
simplify the 3 problems below
(-2x + 4) + 2(2x + 1)
2(3x + 5) − 4(x − 1)
2(x − 7) + (8x + 20)
Answer:
sure
Step-by-step explanation:
(-2+4)+2(2x+1)
2x+1 answer for first one
second one is 2x +14
third is 10x+6
Solve the system of equations.
6x - 5y = 15
2= y + 3
I=
y =
Answer: x=0 y=-3
Step-by-step explanation: Hope this help
Answer:
y= -3
hope this helps!
Step-by-step explanation:
5y + 6x = 15 y + x = 3 Solve by Substitution : // Solve equation for the variable x x = y + 3 // Plug this in for variable x in equation 6• (y +3) - 5y = 15 y = -3 // Solve equation for the variable x.
Hagrid had 3 1/2 feet of orange ribbon. He used some ribbon to make a bow for a gift. Now he has 1 3/8 feet of ribbon left. How much ribbon did Hagrid use?
Answer:
2 1/5
Step-by-step explanation:
4). THE TEMPERATURE IN ANCHORAGE, ALASKA AT MIDNIGHT
WAS -12°F. BY NOON THE TEMPERATURE HAD RISEN 23°F. WHAT
WAS THE TEMPERATURE AT NOON?
Answer: 11 degrees F
If it was -12 and by noon it had risen 23 degrees just add the two numbers together and you get 11 degrees F
The name of this shape
Answer:uhhhh
Step-by-step explanation:no fr wht type of shape is tht- who even made shapes honestly
Answer:
i think its a right angle trapiziod
Step-by-step explanation:
man good luck
please help me on this
Help me solve showing work
Answer:
3x + 8.75 Or 3x + ³⁵⁄₄Explanation:
I'm going to convert all the fractions into decimals⁻¹⁄₂x + 9.5 + x - ¾ + 2.5x
= -0.5x + 9.5 + x - 0.75 + 2.5xGroup like terms-0.5x + x + 2.5x + 9.5 - 0.75
Add similar elements: -0.5x + x + 2.5x = 3x= 3x + 9.5 - 0.75
Add / subtract: 9.5 - 0.75 = 8.753x + 8.75 Or 3x +³⁵⁄₄- PNW
Write an equation of the line that passes through the points (0,4) and (2,10).
Answer:
y = 3x+4
Step-by-step explanation:
Use the coordinates of the points to find the slope of the line passing through them.
slope = Δy/Δx = (10-4)/(2-0) = 6/2 = 3
Point-slope equation for line of slope 3 that passes through (0,4):
y-4 = 3(x-0)
Slope-intercept form of the equation:
y = 3x+4
please help. i’ll give brainliest to the correct answer
which number line models the sum of 8 + (-12)
The volume of a 9 inch cube is?
A. 729 cu in
B. 818 sq in
C. 243 cu yd
D. 1243 cu in
plzzzzzzzzzzzzzzzzzzzzz help
Answer:
i think its 3/8 because if 5/8 are male the rest are female so you de 8/8 - 5/8 and you will get 3/8 but i dunno why it says about the aquariaum when the question is about how many female staff therer are
Marcus is sharing a bag of chips. He gives 3/5 of his chips to Ryan and 1/10 of chips to Kyle. How much of the bag has he shared?
Answer:
Marcus is sharing a He gives 3/5 o
Step-by-step explanation:
