Answer:
x=-1 or x=4
Step-by-step explanation:
First divide by 4 to get rid of the factor 4 at x², then you have:
x² - 3x - 4 = 0
to factor that, look for two numbers that when added, give -3, and when multiplied, give -4. This is guesswork but usually doable:
-4 + 1 = -3
-4 * 1 = -4
so -4 and +1 are our numbers.
The factorization is therefore: (x - 4)(x + 1) = 0, and the solutions are
x-4 = 0 or x+1 = 0, so x=4 or x=-1
Construct an equation that has k = 9 as its solution. Use k on both sides of the equation.
Answer:
10k ÷ 10 + 1 = k + 1
Step-by-step explanation:
LHS
10k ÷ 10 + 1
10(9) ÷ 10 + 1
90 ÷ 10 + 1
10
RHS
k + 1
9 + 1
10
10k ÷ 10 + 1 = 10
You have $3.40 and would like to buy some coffee. If a pound costs $8, how many ounces can you buy?
Answer:
6.8 ounces
Step-by-step explanation:
1 lb = 16 oz
3.40/8 * 16 = 6.8
Find the slope of the line on the graph.
The slope should be -1/2, because the line goes down 1 unit and then right 2 units.
Also it would be y = -1/2x+1 in y=mx+b.
Solve for x. Round to the nearest tenth of a degree, if necessary.(step by step would help, thank you)
Answer:
x = 30.5 degree
Step-by-step explanation:
take angle x as reference angle
using sin rule
sin x = opposite / hypotenuse
sin x = 3.4 / 6.7
sin x = 0.507
x = [tex]sin^{-1} (0.507)[/tex]
x = 30.46
x = 30.5 degree
What is the answer to this I’m confused
Answer:
this is an accurate equation because the square root of 3•3•5•5•7•7 is 105 & 3•5•7 is also 105, making them equal! i’m sorry i also don’t understand what the question is asking, but i hope this helped :/
Evaluate a^4 - 6b + 3b ÷ ac for a=-2, b=6, c=3
Show work please
Answer:
0.333
Step-by-step explanation:
2^4-6(6)+3(6)÷2×3
=16-36+18÷6
=-2÷6=0.333
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A semicircle has radius 8.2 cm.
Work out the area of this semicircle.
Take a to be 3.142 and give your answer to 1 decimal place.
Answer:
Area = 105.6 square cm
Step-by-step explanation:
[tex]Area \ of \ circle = \pi r^2\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.142 \times 8.2^2 = 105.6cm^2[/tex]
Pleaseeee help is for today
Answer:
4
Step-by-step explanation:
yes
Please answer the question in the photo
"What is the value of x in the figure?"
(x+10)
------------------
30
13.
There is a box containing both red and green apples. There are 60 apples in total.
Determine the number of green apples if 40% of the apples are red.
a
b)
c)
d)
42
36
34
20
Answer:
36 green apples
Step-by-step explanation:
Red=40%
Green =x%
40/100 × 60apples
0.4×60
24red apples
so 60-24
36green apples
Answer:
b) 36.
Step-by-step explanation:
Justicemoya35 has an excellent answer, but I will provide a slightly different approach!
According to the word problem, the box contains 60 apples.
If 40% of the apples are red, then 60% of the apples are green.
As I mentioned before, there are 60 apples; 60% of the 60 apples are green.
This means we have the find 60% of 60.
We can find the percentage of a number by using this formula:
60% OF 60
[tex]\frac{is}{of} =\frac{percent}{100}[/tex]
[tex]\frac{x}{60} =\frac{60}{100}[/tex]
Now that I've correctly set up the problem, we cross multiply, then divide the products.
[tex]60*60=3600[/tex]
[tex]100*x=100x[/tex]
[tex]3600/100x=36[/tex]
[tex]x=36.[/tex]
Therefore, 36 apples are red.
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce:
f(n) = 9(0.7)n
What does the number 0.7 represent? (1 point)
A.The ball bounces to 30% of its previous height with each bounce
B.The height from which the ball was dropped at the nth bounce is 0.7 feet
CThe height at which the ball bounces at the nth bounce is 0.3 feet
D.The ball bounces to 70% of its previous height with each bounce
2 x 140 5/10 Solve this please...
Answer:
281
Step-by-step explanation:
(Sorry I'm not sure exactly if that's what you were looking for!!) I may be wrong! The 140 5/10 part messed me up a little bit because I don't know if it was 140 and 5/10 (All as one number) so I solved accordingly! I hope that helps!
Which graph represents an exponential function?i
PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP
Step-by-step explanation:
The 2 lines are parallel to each other which means that angle #5 and 93° are alternate interior angles so by definition, they are equal. Hence angle 5 = 93°
PLEASEEEE HELPPP IM BEING TIMEDDD WILL GIVE BRAINLIEST AND POINTS
Choose the polynomial written in standard form.
xy2 + 4x4y + 10x2
x4y2 + 4x3y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x
Answer:
Can you please organize them so that the exponents are marked as x^2?
Step-by-step explanation:
To me, none of this is in standard form because the numbers are before the variables.
Calculate the volume of the rectangular pyramid below
Answer:
300mm^3
Step-by-step explanation:
formula: [tex]\frac{lwh}{3}[/tex]
10x7.5x12= 900
900/3=300mm^3
Classification of respondents only on the basis of gender is an application of Select one:
1)Ordinal Scale
2)Ratio Scale
3)Nominal Scale
4) Interval Scale
Evaluate 3xy+w. If x=4, y=5 and w=-3
Help
Answer:
57
Step-by-step explanation:
Given:
x = 4
y = 5
w = -3
Work:
3xy + w
3(4)(5) + (-3)
12(5) - 3
60 - 3
57
Based only on the information given in the diagram, it is guaranteed that ДАВС дXYZ. A. True B. False
Answer:
True
Step-by-step explanation:
They both have a 90 degree angle90+38=128180-128=52The triangles are similar by AAA(Angle Angle Angle)Find the measure of the arc indicated.
Answer:
option 3
hope youre online exam will be easy
Step-by-step explanation:
solve all for brainiest
Answer:
Down here ↓↓↓↓↓↓
Step-by-step explanation:
2. 40% of x = 35
a. Equation = 0.4x = 35
b.
35 / 4 = 8.75
8.75 x 10 = 87.5
Check:
87.5 * 0.4 = 35
3. Priya has completed 9 questions which is 60% of the entire test.
a. Equation = 0.6x = 9
b.
9 / 6 = 1.5
1.5 x 10 = 15
15 questions
Check:
0.6(15) = 9
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Using AJKL, what is the length of JK? Answers are in feet.
NEED HELP ASAP
Answer:
JK = 21 ft
Step-by-step explanation:
To find JK = x, apply Trigonometry function.
Reference angle = 65°
Opposite side = JK = x
Adjacent side = KL = 10 ft
Apply TOA:
Tan 65° = Opp/Adj
Tan 65° = x/10
Multiply both sides by 10
10*Tan 65° = x
21.4450692 = x
x = 21 ft (nearest feet)
PLEASE HELP ME !!! ASAP PLS!!!
Answer:
AI and AJ
Step-by-step explanation:
Opposite rays start at the same point (A) and go in the complete opposite direction
In a family with 6 children, excluding multiple births, what is the probability of having 6 girls? Assume that a girl is as likely as a boy at each birth
Answer:
There's is a 25% chance on having all 6 births be girls. There is a 50-50 chance of a boy nor a girl. However, it is possible.
The probability of having 6 girls will be 1/64.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
In a family with 6 children, excluding multiple births.
Then the probability of having 6 girls will be
Leaving out the third gender, let's suppose that there is an equal chance of having a girl or a boy.
Any child can be either a boy or a girl, with each having equal probability of = 1/2
Each of these blank spaces can be filled in 2 ways : B and G (denoting 'B' and 'G' respectively)
Probability of first blank being a ''G' is = 1/2
and second blanks too being a “G” is = 1/2
Thus, probability of each blank individually being a “G” = 1/2
Thus, probability of all being a “G” = (1/2) (1/2) (1/2) (1/2) (1/2)* (1/2) = (1/2)6 = 1/64
Thus, probability of 6 children being all 6 girls = 1/64
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
pls help for number 3!!
Answer:
1820
Step-by-step explanation:
13 x 14 x 10 = 1820
Please mark brainliest
What is the value of x?
Answer:
45 degree
Step-by-step explanation:
3x - 9 + 24 + 30 = 180 degree (being sum of interior angles of a triangle)
3x + 45 = 180
3x = 180 - 45
x = 135/3
x = 45 degree
Answer:45 độ
Step-by-step explanation:
3x - 9 + 24 + 30 = 180 độ (là tổng 3 góc của tam giác)
3x + 45 = 180
3x = 180 - 45
x = 135/3
x = 45 độ
Mike is building a model of a classic car: a '67 Chevy Impala. The scale is 1 in : 48 in. The actual length of the car is 213.2 inches. How long will the model be? Round to the nearest tenth.
A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence interval for the population mean. Round your answers to one decimal place. ( , ) b. Assume that the same sample mean was obtained from a sample of items. Provide a confidence interval for the population mean. Round your answers to two decimal places. ( , ) c. What is the effect of a larger sample size on the interval estimate? Larger sample provides a - Select your answer - margin of error.
Answer:
(a): The 95% confidence interval is (46.4, 53.6)
(b): The 95% confidence interval is (47.9, 52.1)
(c): Larger sample gives a smaller margin of error.
Step-by-step explanation:
Given
[tex]n = 30[/tex] -- sample size
[tex]\bar x = 50[/tex] -- sample mean
[tex]\sigma = 10[/tex] --- sample standard deviation
Solving (a): The confidence interval of the population mean
Calculate the standard error
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{10}{\sqrt {30}}[/tex]
[tex]\sigma_x = \frac{10}{5.478}[/tex]
[tex]\sigma_x = 1.825[/tex]
The 95% confidence interval for the z value is:
[tex]z = 1.960[/tex]
Calculate margin of error (E)
[tex]E = z * \sigma_x[/tex]
[tex]E = 1.960 * 1.825[/tex]
[tex]E = 3.577[/tex]
The confidence bound is:
[tex]Lower = \bar x - E[/tex]
[tex]Lower = 50 - 3.577[/tex]
[tex]Lower = 46.423[/tex]
[tex]Lower = 46.4[/tex] --- approximated
[tex]Upper = \bar x + E[/tex]
[tex]Upper = 50 + 3.577[/tex]
[tex]Upper = 53.577[/tex]
[tex]Upper = 53.6[/tex] --- approximated
So, the 95% confidence interval is (46.4, 53.6)
Solving (b): The confidence interval of the population mean if mean = 90
First, calculate the standard error of the mean
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{10}{\sqrt {90}}[/tex]
[tex]\sigma_x = \frac{10}{9.49}[/tex]
[tex]\sigma_x = 1.054[/tex]
The 95% confidence interval for the z value is:
[tex]z = 1.960[/tex]
Calculate margin of error (E)
[tex]E = z * \sigma_x[/tex]
[tex]E = 1.960 * 1.054[/tex]
[tex]E = 2.06584[/tex]
The confidence bound is:
[tex]Lower = \bar x - E[/tex]
[tex]Lower = 50 - 2.06584[/tex]
[tex]Lower = 47.93416[/tex]
[tex]Lower = 47.9[/tex] --- approximated
[tex]Upper = \bar x + E[/tex]
[tex]Upper = 50 + 2.06584[/tex]
[tex]Upper = 52.06584[/tex]
[tex]Upper = 52.1[/tex] --- approximated
So, the 95% confidence interval is (47.9, 52.1)
Solving (c): Effect of larger sample size on margin of error
In (a), we have:
[tex]n = 30[/tex] [tex]E = 3.577[/tex]
In (b), we have:
[tex]n = 90[/tex] [tex]E = 2.06584[/tex]
Notice that the margin of error decreases when the sample size increases.
A certain factory produces and sells 8000 cars per month, making a monthly net profit of P dollars. They sell
each car for n dollars and it costs them c dollars to produce a single car.
Write an equation that relates P. n, and c.
Answer:
p= 8000n-8000c
Step-by-step explanation:
8000
p= n - c
or
p= 8000n-8000c
Esentially you need to subtract n, the amount they sell each car for by c, the amount it costs to produce a car, (which should be less because the company has to make money) this would give you the total they make a month, P.
Because the amount of cars is constant, 8000, you can always multiply the cost of the car and how much its sold for by 8000. Otherwise, you would have another variable like k, which would be how many cars sold
If the code AXISEM represents the number 9.54207, what number is represented by the code XlS + SEX? a.AIM b.MIM c.MES d.SIX
Answer:
B. MIM
Step-by-step explanation:
A = 9
X = 5
I = 4
S = 2
E = 0
M = 7
XIS = 542, SEX = 205
542 + 205 = 747
747 = MIM