[tex]V = \frac{1}{3} \times base \: area \: \times height \\ [/tex]
[tex]V = \frac{1}{3} \times {8}^{2} \times 14 \\ [/tex]
[tex]V = \frac{1}{3} \times 64 \times 14 \\ [/tex]
[tex]V = \frac{896}{3} \: \: \: {m}^{3} \\ [/tex]
Determine the intercepts of the line.
Do not round your answers.
y +5 = 2(x + 1)
y-intercept:
r-intercept:
Answer:
x intercept: (3/2, 0), y intercept: (0, -3)
Step-by-step explanation:
Find the equation of the exponential function represented by the table below:
x y
0 5
1 15
2 45
3 135
y=
Answer:
y=5·3x
Step-by-step explanation:
x=0, y=5:
5=a·b↑0 a=5
x=1, y=15:
15=5·b↑1
b=15/5=3
The equation of the exponential function is y = 5(3)ˣ
What is an exponential function?An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Given,
x: 0, 1, 2, 3
y: 5, 15, 45, 135
We have to find the exponential equation:
The exponential function in the form:
y = a × b ˣ
y value of x as 0 is 5.
This is the a value in the equation.
The ratio of values between x as 1 and x as 0 is 15/5 which is equal to 3. This is the value of b in the equation.
Therefore, the equation will become:
y = 5 × 3 ˣ
Hence the equation of the exponential function is y = 5(3)ˣ
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A colony of bees doubles in size every month. If there are initially 5000 bee, create a model for the bee population
we know that the colony is doubling, namely the rate of growth is 100% of whatever is existent, thus
[tex]\textit{Amount of Population Growth} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\\\ A = 5000e^{1\cdot t}\implies \boxed{A = 5000e^t}[/tex]
The question is in the pic! Answer by 10:20 to receive 5 stars, thanks, and brainliest!
please no links!
Answer:
A, y=1/3x
Step-by-step explanation:
You can use the slope formula.
A study was conducted that measured the total brain volume (TBV) (in) of patients that had
schizophrenia and patients that are considered normal. Table #9.3.5 contains the TBV of the normal
patients and table #9.3.6 contains the TBV of schizophrenia patients ("SOCR data oct2009." 2013). Is
there enough evidence to show that the patients with schizophrenia have less TBV on average than a
patient that is considered normal? Test at the 10% level.
Table #9.3.5: Total Brain Volume (in ) of Normal Patients
1663407 1583940 1299470 1535137 1431890 1578698
1453510 1650348 1288971 1366346 1326402 1503005
1474790 1317156 1441045 1463498 1650207 1523045
1441636 1432033 1420416 1480171
1360810 1410213
1574808 1502702 1203344 1319737 1688990 1292641
1512571 1635918
Table #9.3.6: Total Brain Volume (in) of Schizophrenia Patients
1331777 1487886 1066075 1297327 1499983 1861991
1368378 1476891 1443775 1337827 1658258 1588132
1690182 1569413 1177002 1387893 1483763 1688950
1563593 1317885 1420249 1363859 1238979 1286638
1325525 1588573 1476254 1648209 1354054 1354649
Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a patient that is considered normal, that is, the subtraction is not negative, hence:
[tex]H_0: \mu_S - \mu_N \geq 0[/tex]
At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:
[tex]H_1: \mu_S - \mu_N < 0[/tex]
Regarding each sample, the mean and standard deviation are found using a calculator.
[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]
[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]
We have the standard deviation for each sample, hence, the t-distribution will be used.
The standard errors are given by:
[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]
[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]
The distribution of the difference has mean and standard error given by:
[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]
[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
In which [tex]\mu[/tex] is the value tested at the hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]
[tex]t = -0.47[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]
Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
A similar problem is given at https://brainly.com/question/13873630
Find each function value.
f(6) if f(x) = 4x?
f(8) if f(x) = x + 11
A restaurant has a rectangular patio section that is 8 meters wide by 6 meters long. They want to use fencing to enclose the patio.
How much fencing will they need to go around their new patio?
meters
308
This is the answer
The restaurant will need 28 meters of fencing to enclose their new patio.
Here, we have to calculate the amount of fencing needed to enclose the rectangular patio, we need to find the perimeter of the patio.
The perimeter of a rectangle is the sum of all its sides.
Given:
Width (W) = 8 meters
Length (L) = 6 meters
The formula for the perimeter (P) of a rectangle is:
P = 2 * (Width + Length)
Plug in the values:
P = 2 * (8 meters + 6 meters)
P = 2 * 14 meters
P = 28 meters
So, the restaurant will need 28 meters of fencing to enclose their new patio.
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A survey concluded that 5 out of every 6 teachers
drink at least one cup of coffee in the morning
before school. If Lubbock Middle School has 78
teachers, approximately how many teachers
would you predict drink at least one cup of coffee?
Answer:
5+6= 11
78-11= 67
That is the final answer
Pre college need help with 5
Answer:
parallel
Step-by-step explanation:
maybe I guess it parallel, cause it not perpendicular
Answer:
Step-by-step explanation:
3x - 8y = 19
-8y = -3x + 19
y = (3/8)x - 19/8
32x + 12y = 19
12y = -32x + 19
y = (-32/12)x + 19/12
y = (-8/3)x + 19/12
as the slopes of the lines are negative reciprocals of each other, the lines are PERPENDICULAR
43=8c-5 what is the value of c in this equation
Answer:
Move all terms that don't contain c to the right side and solve.
c = 6
Step-by-step explanation:
dur rn help pls ))))))))))
Answer:
A is correct good luck bud
Step-by-step explanation:
The original price of a dress is 95.00. A discount of 10% is offered for cash payment. How much does one save by paying cash for the dress?
Answer:
10% of 95 is 9.5
So 95 - 9.5 = 85.5
(3/4x-1) - (1/3x+4) what is the difference
Answer:
[tex]\huge\boxed{\dfrac{5}{12}x-5}[/tex]
Step-by-step explanation:
[tex]\left(\dfrac{3}{4}x-1\right)-\left(\dfrac{1}{3}x+4\right)=\dfrac{3}{4}x-1-\dfrac{1}{3}x-4=\left(\dfrac{3}{4}x-\dfrac{1}{3}x\right)+(-1-4)\\\\=\left(\dfrac{3\cdot3}{4\cdot3}x-\dfrac{1\cdot4}{3\cdot4}x\right)+(-5)=\left(\dfrac{9}{12}x-\dfrac{4}{12}x\right)-5=\dfrac{9-4}{12}x-5\\\\=\dfrac{5}{12}x-5[/tex]
PLEASE HELP REWARDING A LOT
Answer:
(4,5)
Step-by-step explanation:
if a- b= 2 and ab= 15 then a3-b3?
a) 30 b) 98 c) 20 d) 60
full explanation please
Answer:
The answer is 98
Step-by-step explanation:
A = 5
B = 3
a_b = 2
a × b = 5 × 3 = 15
A3 _ b3 =(5) bower 3 _ (3) power 3 = 98
NO LINKS!!!
What are the differences between arithmetic and geometric sequences?
Answer:
An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.
What is 34% of 375?
Answer: 127.5
Step-by-step explanation:
Question: What is 34% of 375
Percentage solution with steps:
Step 1: Our output value is 375.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 375=100%
Step 4: Similarly, X=34%
Step 5: This results in a pair of simple equations:
375=100% (1)
X=34%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
375/X = 100%/34%
Step 7: Again, the reciprocal of both sides gives:
X/374=34/100
X=127.5
Therefore, 34% of 375 is 127.5
Sales of different ice cream flavors at a small ice cream shop were recorded for one week. The graph shown here displays the sales of each different flavor.
What is the mean of the data?
A)6
B)7
C)8
D)9
Answer:
its c
Step-by-step explanation:
i did da quiz
Mean of Number of scope is 8
Given that;
Number of scope of Vanilla = .6
Number of scope of chocolate = 14
Number of scope of strawberry = 10
Number of scope of Butter pecan = 6
Number of scope of cookie dough = 4
Number of scope of moose track = 8
Find:
Mean of Number of scope
Computation:
Mean of Number of scope = [6+14+10+6+4+8] / 6
Mean of Number of scope = [48] / 6
Mean of Number of scope = 8
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Find the domain of the function.
f(x) = -5x + 3
Answer:
-infinity < x < infinity
Step-by-step explanation:
The function is linear and is infinitely long in either direction.
can someone heelp me plz plz
Answer:
d)fluid ounce may be right answer
........help........
Answer:
C
GIVE ME THE POINTS YES
the ratio of collectible pennants kyle owns to pennants that yasmine owns is 3:2 yasmine has 36 pennants . How will the ratio of kyles pennants to yasmines pennants change if they both sell half of their pennants Explain
Answer:
If they both sell half then Kyle would have 1.5:1 and Yasmine would have 18 pennants.
Step-by-step explanation:
It will change because if they both sell half, they would have to multiply by .05 or divide by 2 because that is half of something.
3/2 or 3*0.5 = 1.5
2/2 or 2*0.5 = 1
36/2 or 36*0.5 = 18
So Kyle would have 1.5:1 pennants left and Yasmine would have 18 pennants left.
g(x)= x^2+1 I need help finding the inverse function to this. work must be shown
Answer:
[tex]\huge\boxed{g^{-1}(x)=\sqrt{x-1}\ \text{for}\ x\geq1}[/tex]
Step-by-step explanation:
[tex]g(x)=x^2+1\to y=x^2+1\\\\\text{exchange x with y and vice versa}\\\\x=y^2+1\\\\\text{solve for}\ y\\\\y^2+1=x\qquad|\text{subtract 1 from both sides}\\\\y^2=x-1\to y=\sqrt{x-1}\\\\\text{Domain}\\\\x-1\geq0\qquad|\text{add 1 to both sides}\\\\x-1+1\geq0+1\\\\x\geq1[/tex]
[tex]g(x) = x^2+1\\\\\text{Write g(x) as}~ y = x^2 +1\\\\\text{Replace x with y: }\\\\x = y^2 +1\\\\\text{Solve for y:}\\\\x = y^2 + 1 \\\\\implies y = \pm \sqrt{x-1}\\\\\\\implies g^{-1} (x) = \pm\sqrt{x-1}[/tex]
(A) use the Pythagorean theorem to determine the light of the unknown side of the triangle, (B) determine the perimeter of the triangle, and ( C) determine the area of the triangle the figure is not draw to scale
(Note: a research study on coniferous trees of the American West
may sound really boring, but sometimes you might get to climb one
Scientists studying beetle infections on in Western forests discover
that in one particular region called Doug's Backyard, the number of
trees with beetle infestations seems lower than the surrounding
area. In the entire forest they're studying, the rate of severe beetle
infestations is about 0.07 (7%) of the trees, but in a sample of trees
from Doug's Backyard, they found just 0.035 (3.5%) of the trees to
be infested. Based on their statistical calculations, the likelihood that
their sample is just an accident -- that is, that the trees from Doug's
Backyard are actually infested at the same rate as the whole region -
- is 0.003, so they deem their results significant
In this story problem:
• p = 0.07
• Ô
[Select)
• Po =
[ Select)
• The p-value
[Select]
Answer:
p = 0.07
p-hat = 0.035
p0 = 0.07
p-value = 0.003
Step-by-step explanation:
p = population parameter, in this case, the rate of infestations across all trees in the forest
p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard
p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%
p-value = the likelihood any difference between p and p-hat is down to chance
In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;
We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).
Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
Answer:
sin θ . tan θ
Step-by-step explanation:
Note : -
sec ( - θ ) = sec θ
Formula / Identity : -
sec θ = 1 / cos θ
sec ( - θ ) - cos θ
= [ 1 / cos θ ] - cos θ
{ LCM = cos θ }
= [ 1 / cos θ ] - [ cos²θ / cos θ ]
= [ 1 - cos²θ ] / cos θ
{ 1 - cos²θ = sin²θ }
= sin²θ / cos θ
{ sin²θ = sin θ . sin θ }
= sin θ . sin θ / cos θ
{ sin θ / cos θ = tan θ }
= sin θ . tan θ
Hence, simplified.
HELPPPPPP PLEASEEEEEEE
Answer:
It has been a long time since I was even thinking about this, but I got 33 for the first one and I know how you feel, stay strong, you have a long time until you are finished
Step-by-step explanation:
(this might and probobly is wrong)
estimation for 5.24 - 2.14
Answer:
3.1
Step-by-step explanation:
lemme know if you want the explanation
can someone please help me with my last question?
answer choices are -165, -120, 165, 120
Answer:
120
Step-by-step explanation:
If you graph out the two triangles, you can see that the rotation is close to an angle of 90 - 120 degrees. And the rotation is going counterclockwise into the positives (graph quadrant IV).
help on 37 pleaseee (geometry)
Answer:
Step-by-step explanation:
x = 127
y = 5
z = 31