Answer:
Angle BOC
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To complete step 3, which expression must fill in each blank space?
A.) cos(A)cos(B)
B.) cos(A)sin(B)
C.) Sin(A)cos(B)
D.) sin(A)sin(B)
Answer:
The answer is A cos(A)cos(B)
Step-by-step explanation:
I just took it
The expression which must fill in each blank space to complete step 3 is; Choice B; Cos(A)Cos(B).
Which expression must fill in each blank space?From the task content; It follows that the mathematical evaluation is in a bid to derive the Trigonometric identity for Tan (A-B).
From observation, it follows that the required expression is; cos(A)sin(B). This is because upon division of each term by the expression, the result is as in Step 4.
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1) A ratio of 2 to 10 is the same as
*
02/14
2/12
O 1/5
2/5
Answer:1/5
Step-by-step explanation:
Two and ten divided by two equals 1 and 5 so 1/5
PLSS ANSWER FAST
Barnaby’s grandfather is always complaining that back when he was a teenager, he used to be able to buy his girlfriend dinner for only $1.50.
a.) If that same dinner that Barnaby’s grandfather purchased for $1.50 sixty years ago now costs $25.25 , and the price has increased exponentially, write an equation that will give you the costs at different times.
b.)How much would you expect the same dinner to cost in 60 years?
An equation that will give you the costs at different times is y = [tex]1.048^{t}[/tex].
The price of the dinner in 60 years will be $425.04.
What is the equation that represents the cost of the dinner?An exponential function is usually in the form: [tex]ab^{x}[/tex].
Where:
a = initial value b = rate of growth x = number of yearsRate of increase = (cost of the meal now / cost of the meal 60 years ago)^(1 / number of years)
(25.25 / $1.50) ^(1/60) = 4.8%
y = [tex]1.048^{t}[/tex].
What will be the cost of the meal in 60 years?25.25 x 1.048^60 = $425.04
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Determine the quotient of 2 over 5 divided by 3 over 4. (2 points)
PLS I NEED HELP FAST PLS
Answer:
8 over 15
Step-by-step explanation:
you should get a calculator.
Answer:
8/15
Step-by-step explanation:
The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in
the graph below.
What is the constant of proportionality. E/h for this situation
Answer:
8
Step-by-step explanation:
The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.
Constant of proportionality = [tex] \frac{E}{h} [/tex]
From the graph given, when h = 5, E = 40.
Therefore:
Constant of proportionality = [tex] \frac{E}{h} = \frac{40}{5} = 8 [/tex]
A person places $7420 in an investment account earning an annual rate of 5.9%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years.
Answer:
$24147.50Step-by-step explanation:
Step one:
given
principal=$7420
rate = 5.9%= 0.059
time = 20years
Step two:
Required
Final amount V
using the relation
[tex]V = Pe^{rt}[/tex]
Substituting we have
[tex]V = 7420e^{0.059*20}\\\\V=7420e^{1.18}\\\\V=7420*3.2543\\\\V=24147.456[/tex]
To the nearest cent
= $24147.50
The amount of money in the account after 20 years is $24147.50
how to divide 2432.5 by ten
Answer: 243.25.
Step-by-step explanation: To divide by ten is to move the decimal point one digit to the left. Thus, 2432.5/10 is 243.25.
Find the slope from the table:
Answer: m=-5/3
Step-by-step explanation:
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally distributed with a mean of 13.5 and standard deviation of 2.5 minutes. Jocelyn's 1-mile time J is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 mile race on a randomly selected day?
Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂
[tex]z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Where;
[tex]\bar {x}_1[/tex] = 13.5
[tex]\bar {x}_2[/tex] = 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969[/tex]
We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
Refer the below solution for better understanding.
Step-by-step explanation:
Given :
Standard Deviation, [tex]\rm \sigma_1 = 2.5\; and\;\sigma_2= 1.5[/tex]
Calculation :
The null Hypothesis is [tex]\rm H_0: \mu_1\leq\mu_2[/tex]
The alternative Hypothesis is [tex]\rm H_a: \mu_1>\mu_2[/tex]
Now,
[tex]z = \dfrac{(\bar{x_1}-\bar{x_2})-(\mu_1-\mu_2)}{\sqrt{\dfrac{\sigma_1^2}{n_1}-\dfrac{\sigma_2^2}{n_2}} }[/tex] --------------- (1)
putting the values of
[tex]\bar{x_1}=13.5,\;\bar{x_2}=12,\;\sigma_1=2.5,\;\sigma_2=1.5[/tex]
in equation (1)
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^2}{23}-\dfrac{1.5^2}{23}} }[/tex]
z = 3.5969
We reject the null hypothesis at
[tex]\alpha =0.05[/tex]
z-value is larger than the critical z.
3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day.
The probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore, the probability that Alyse has a smaller time than Jocelyn is
[tex]1-0.99983 = 0.00017 = 1.7\times10^-^4[/tex]
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Sady has $545, she want to buy a boyfriend he cost $1000 on Ebay how mush does she nee to buy him?
Answer:
Sady needs $455 more dollars
Step-by-step explanation:
1,000-545=455
which TWO Points cannot be included in the function that includes (-2,6),(-1,4),(0,2),(1,0)(3,-4) and (4,6)
A).(-4,10)
B). (-1,5)
C).(2,-3)
D).(4,8)
E).(6,-9)
Answer:
B D
Step-by-step explanation:
What is the slope of this line?
−3
3/4
4
−3/4
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
What is the Reciprocal of 5/12
Answer:
12/5 just flip the numbers :D
Step-by-step explanation:
If A= 1, Be= 7, then ADD=?
Answer:
D or DD was not given any factor, but A was given which is 1, ADD= 1 multipltied by D
Help!!! Quiz!! I think that the answer is A and B, but I’m not sure.
13 POINT!!!
Will mark brainliest for correct answer!!!
6x2 + 5x - 4 = 0
A. x= 1/2
B. x= -3/4
C. x= 1/3
D. x= 4
E. x= -2
F. x = -1/3
Answer:
E
Step-by-step explanation:
Hope this helped ;) Have a good day! :D
Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.
Answer:
170 cm is the tallest
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Answer:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Step-by-step explanation:
please an someone help me 5(−3.4k−7)+(3k+21)
Answer:
4
Step-by-step explanation:
Answer:
4.5k
Step-by-step explanation:
5 divided by 4= 25 divided by x
wHAT IS X
Answer:
x=20
Step-by-step explanation:
so 5/4 is 1.25
so 25/x=1.25
so to find x we do 25/1.25
when we do that we get 20 so then to check if it's right we divide 25/20 and we get 1.25 so it's right
Answer:
yeet
Step-by-step explanation:
h(n) = -2n² + 4; Find h(4)
A.-28
B.68
C.28
D.-4
Answer:
-28
Step-by-step explanation:
h(4)=-2(4)^2+4
-32+4=-28
An election campaign organizer bought 20,000 buttons to hand out for a candidate. The organizer handed out 14,000 of the buttons before receiving the next shipment of 15,500 buttons. On the day of the election, the organizer handed out another 18,250 buttons. How many buttons were left after the election?
Answer: 3,250
Step-by-step explanation:
What is X-y=-1 written in y=mx+b form?
Answer:
y = x + 1
Step-by-step explanation:
Elsie has two bags, each containing x counters. Write an expression for the total number of counters Elsie has.
Answer:
Y=2x
Step-by-step explanation:
whats 9x8 greer I forgot
Answer:
72
Step-by-step explanation:
You can use the 9s trick
Answer:
9x8=72
Step-by-step explanation:
9x5=45 5
9x3=27 +3=9
27+45=72
How do I find the x in this special triangle?
Answer:
x=5
Step-by-step explanation:
a^2+b^2=c^2
a=4
b=3
c=x
4^2+3^3=x^2
16+9=x^2
25=x^2
5=x
Neurons are brain cells. Where would a new neuron come from?
Answer:
New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.
Step-by-step explanation:
negative four times the sum of a number and 3 is at least 28, translate.
Answer: [tex]-4 * (n+3) \geq 28[/tex]
Step-by-step explanation:
Negative four -> [tex]-4[/tex]
Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]
Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]
The line passing through the points (-2, 10) and (5, -11)
y-intercept = (0, 4)
x-intercept = (3/4, 0)
Step-by-step explanation:1 - Find the slope
[tex]slope = m = \frac{rise}{run} = \frac{y_2~-~y_1}{x_2~-~x_1} = \frac {-11-10}{5-(-2)} = \frac {-21}{7} = -3[/tex]
2 - Plug the slope into y = mx + b and substitute a point into x and y to find the y-intercept, b, by isolating it.
y = mx + b
y = -3x + b
10 = (-3)(-2) + b
10 = 6 + b
-6 -6
4 = b
y-intercept = (0, 4)
3 - Rewrite the completed formula
y = -3x + 4
4 - Substitute 0 in for y to find the x-intercept
0 = -3x + 4
-4 - 4
-4 = -3x
-4/-3 = -3x/-3
4/3 = x
x-intercept = (4/3, 0)
I will mark. so please I WANT AN A+!!!!!
Answer:
-4.5, -3 1/2, -3, -2.5, 4 1/2
Step-by-step explanation:
the higher the numbers as a negative, the smaller they are! :)
Answer:
from least to greatest
Step-by-step explanation:
1. -4.5
2.-3 1/2
3. -3
4.-2.5
5. 4 1/2
HAVE A NICE DAY HOPE U GET A A+
What do the four yellow tiles in the model of the equation below represent?
1
xxx
-4
4
-4x
4x