Which value makes the equation 3x / 6 equals 36 true
Answer:
72
Step-by-step explanation:
3x/6=36
3x=36(6)
3x=216
x=216/3
x=72
A 30-foot ladder was put up against a building. The ladder makes a 64° angle with the ground. How high up
on the wall does the top of the ladder reach?
Answer:
height = 26.96 feet
Step-by-step explanation:
sin 64° = height/30
0.8988 = height/30
height = 26.96 feet
Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5
9514 1404 393
Answer:
B. r = 6.30÷5
Step-by-step explanation:
The cost per pencil is found by dividing the cost by the number of pencils.
Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...
r = 6.30 ÷ 5
What is equivalent to -2(x-5)?
Answer:
-2x+10
Step-by-step explanation:
-2(x-5)
Distribute
-2*x -2*-5
-2x+10
can you make a triangle with 9 in , 4 in , and 6 in
Answer:
Yes, you can make a triangle with it
Step-by-step explanation:
Given
[tex]Lengths: 9in, 4in, 6in[/tex]
Required
Do the lengths form a valid triangle
To do this, we make use of triangle inequality theorem which states that;
For sides a, b and c;
[tex]a + b > c[/tex]
[tex]b + c >a[/tex]
[tex]a + c > b[/tex]
So, we have:
[tex]9 + 4 > 6[/tex] -- true
[tex]4 + 6 > 9[/tex] -- true
[tex]6 + 9 > 4[/tex] -- true
Since all the inequalities are true, then the sides form a valid triangle
The Athens-Clarke Country Wildlife Resource Center wanted to encourage wildlife preservation efforts among students in its summer camp. In the past, it would run a particular curriculum, then gauge students' interest in wildlife preservation in a test at the end of the camp. Historically, the average on this final test to gauge preservation interest was 35.3 (out of 100).
Last summer, the resource Center created a new curriculum focusing on campers interacting directly with wildlife to promote preservation efforts. This included efforts in species dentrication handling of wild animals, and directoration of animals in habitat The Resource Center considers the collection of 40 to be a random samping from the population of campers they will encounter They need your help to determine whether this new curriculum Improves impressions about witte preservation. For their 40 scores at the end of lut summer, they found a sample mean of 26.58 and a standard deviation of 3.18.
Required:
What are the null and alternative trypotheses?
Answer:
H0 : u ≤ 0.353
Ha: u > 0.353
Step-by-step explanation:
The null and alternate hypotheses are formulated by the given claim. The claim is mostly set as the alternate hypothesis and the opposite of the alternate hypothesis is the null hypothesis.
In this question the given statement is the average on this final test to gauge preservation interest was 35.3 (out of 100). This can be used as the null hypothesis.
H0 : u ≤ 0.353
The claim is also given which is To test whether the new curriculum Improves impressions about witte preservation.
against the claim Ha: u > 0.353
Therefore it will be a one tailed test.
what is 2x10^4 in standard notation
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
X is a discrete random variable. The graph below defines a probability distribution for X.
What is the expected value of X?
Answer: 1.1
Step-by-step explanation:
Expected value is the weighted average of the various possibilities and their probability of occurring.
The probabilities represented are:
0.35, 0.35, 0.15 and 0.15.
They add up to:
= 0.35 +0.35 + 0.15 + 0.15
= 1
The possibilities are; 0, 1, 2 and 3.
Expected value = (0.35 * 0) + (0.35 * 1) + (0.15 *2) + ( 0.15 * 3)
= 1.1
Please help!!!! I’ll give you best answer!!!
Solve the equation by completing the square
10 points
4) v2 + 16v + 35 =-4
A) {-16 + V217, -16 - V217)
B) -3, -13
C) 7+ V71,7 – V71)
D) -8,-10
Answer:
Hi! The answer to your question is B. {[tex]{-3, -13}[/tex]}
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Write the log equation as an exponential equation. You do not need to solve for x. log(5x+2)=3
Answer:
So happy you are with brainly
Step-by-step explanation:
34
Which is bigger? 92^7 or 3^81? Hint: can you write 9^27 as an exponential expression with a base of 3?
Answer:
[tex] {3}^{81}[/tex] is bigger.
Step-by-step explanation:
[tex] {9}^{27} = ( {3}^{2} )^{27} = {3}^{2 \times 27} = {3}^{54} \\ [/tex]
If we compare the exponents of [tex] {3}^{54}[/tex] and [tex] {3}^{81}[/tex] it can be concluded that:
[tex] {3}^{81}[/tex] > [tex] {3}^{54}[/tex]
monika has 3 1/4 cups of rice. each sushi roll she makes required 7/16 of cup of rice to make with the rice she has how many full sushi rolls can monika make
Answer:7
Step-by-step explanation: 3 1/4 is equal to 13/4. When dividing fractions, you switch the numerator and denominator in the second fraction and change the symbol to a multiplication symbol. You then multiply straight across and then divide the top number by the bottom number. The whole number is how many times you can divide it equally
(d) You will live for 500 years.state whether the following event is certain, impossible, even,likely or unlikely
Answer:
Impossible
Step-by-step explanation:
what is meant by the present value of money?
Answer:
Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return. Future cash flows are discounted at the discount rate, and the higher the discount rate, the lower the present value of the future cash flows.
How to find PV:Calculating present value is called discounting. Discounting cash flows, like our $25,000, simply means that we take inflation and the fact that money can earn interest into account.
...
Calculating Present Value Using the Formula
FV = the future value.
i = interest rate.
t = number of time periods.
Step-by-step explanation:
Answer: Present value, also known as discounted value, is a financial calculation that measures the worth of a future amount of money or stream of payments in today’s dollars adjusted for interest and inflation. In other words, it compares the buying power of one future dollar to purchasing power of one today
Step-by-step explanation:
A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance?
Saturday Sales Data ($) for Ski Hats
Saturday East Side Shop West Side Shop
1 548 523
2 493 721
3 609 695
4 567 510
5 432 532
Required:
a. State the decision rule for 5 percent level of significance.
b. Find the test statistic tcalc.
Answer:
At 10 percent significance level, there is not enough statistical evidence to suggest that there is a difference between mean
a. The decision rule for 5% level of confidence is;
For test statistic is less than 2.306 we fail to reject the null hypothesis
For a test statistic larger than 2.306 we reject the null hypothesis
b. The test statistic is approximately -1.2008
Step-by-step explanation:
The given data are;
No; 1, 2, 3, 4, 5
East Side Shop; 548, 493, 609, 567, 432
West Side Shop; 523, 721, 695, 510, 532
Therefore, we have;
The mean for the East Side Shop, [tex]\overline x_1[/tex] = 529.8
The standard deviation for the East Side Shop, s₁ = 68.751
The mean for the West Side Shop, [tex]\overline x_2[/tex] = 596.2
The standard deviation for the West Side Shop, s₂ = 102.7701
[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]
Therefore, we have;
The null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0
[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]
At degrees of freedom, df = n₁ + n₂ - 2 = 8, we have the critical-t = 1.895
Given that the critical-t is more than test statistic, we do not reject the null hypothesis, therefore, there is not enough statistical evidence to suggest that there is a difference between mean
Required;
a. At 5% level, we have critical-t = 2.306
Therefore, the decision rule for 5% level of confidence is that we fail to reject the null hypothesis when the magnitude of the test statistic is less than 2.306 and we reject the null hypothesis for a test statistic larger than 2.306
b. The test statistic is given as follows;
[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]
[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]
What is the missing number
Answer:
1
Step-by-step explanation:
Find the value of x for which pll q.
JA) 9
B) 15
C) 5
D) 10
Answer:
i don't get the question
Step-by-step explanation:
What is the form of the Difference of Cubes indentity?
Solution:
The difference of cubes identity is
if a and b are any two real numbers, then difference of their cubes, when taken individually:
a³-b³= (a-b)(a² + ab + b²)→→→Option (D) is
true option.
I will show you, how this identity is valid.
Taking RHS
(a-b)(a² +b²+ab)
= a (a² +b²+ab)-b(a² +b²+ab)
= a³ + a b² +a²b -b a² -b³-ab² Cancelling like terms, we get
= a³-b³
= LHS
multiply the binomials (2x+1)(3x+2)
The Answer is (6x^2+7x+2)
Use the FOIL method
Use the matrix tool to solve the system of equations. Choose the correct
ordered pair.
4x - 7y = -5
-6x+ 5y = 2
PLEASE HELP
An equation is shown: a×b=c. Let c be an irrational number. What can be said about a and b?
Please help
if c is a irrational number that means a or b is also an irrational number or both of them are irrational numbers but they are different then each other
i hope that will help
There are two possible answers:
'a' is irrational and b is rational, OR'a' is rational and b is irrationalYou can only pick one of those two cases. In short, exactly one of the 'a' or b is irrational and the other is rational. Both 'a' and b cannot be rational together, and they both cannot be irrational together.
================================================
Explanation:
For a moment, let's say that 'a' and b are both rational numbers. This means they would be ratios of integers. So,
a = p/q
b = r/s
where p,q,r,s are integers. The denominators q & s cannot be zero.
Multiplying those rational numbers 'a' and b leads to
a*b = (p/q)*(r/s) = (p*r)/(q*s)
We get a result in the form of integer/integer. Recall that multiplying any two integers leads to some other integer. Since (p*r)/(q*s) is a ratio of integers, it is rational and that makes a*b = c to be rational. However, your teacher said that c is irrational which is the opposite of rational.
In short, if both 'a' and b are rational, then a*b = c is rational. This means we know for certain that both 'a' and b cannot be both rational for c to be irrational.
------------------------
Next, we'll consider 'a' and b to both be irrational. Is it possible to have a*b = c to be irrational as well? It depends.
If we have the following
a = sqrt(3)
b = sqrt(12)
then,
a*b = sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6
Showing that a*b is rational because 6 = 6/1 is a ratio of integers. This is a bit strange considering how 'a' and b themselves were irrational, but they led to a rational product.
This doesn't always happen since something like
sqrt(3)*sqrt(5) = sqrt(3*5) = sqrt(15)
is irrational. So if both 'a' and b are irrational together, then a*b could be rational or it could be irrational. We would need more information about the values of 'a' and b.
Therefore, we know that we can rule out the case that 'a' and b are irrational together.
------------------------
Lastly, we'll consider the case when one of 'a' or b is rational while the other is irrational. The order doesn't matter. So we'll make 'a' to be irrational and b to be rational.
Since b is rational, this means b = p/q for some integers p,q where q is nonzero. The value of 'a' cannot be written as a ratio like this because it is irrational.
Multiplying any nonzero rational number with an irrational one always leads to an irrational result. If a*b was rational, then we could say
a*b = r/s
a*(p/q) = r/s
a = (r/s)*(q/p)
a = (r*q)/(s*p)
Showing that 'a' is rational, but this contradicts the fact we made 'a' to be irrational at the top of this section. Therefore, a*b is always irrational if exactly one of 'a' or b is irrational and the other is rational.
In other words, if,
'a' is rational and b is irrational, or'a' is irrational and b is rationalthen a*b = c is irrational
HELP ME OUT PLZZZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
18.9
Step-by-step explanation:
I need help on finding this answer
Answer:
I think Cube
Step-by-step explanation:
Can anyone help with this?
Answer:
231
Step-by-step explanation:
TB equals 90 bc it's a 90 degree angle. To get BD you need to subtract 180 and 90 bc half of a circle equals 180. Do the same to find DC but it's 180-129. Then to find TBC you add all of those together.
Please help me solve this! Thank you so much!
Answer:
210 is answer when bases are same. powers should be added
Step-by-step explanation:
it's basically indicesis basically in this is so it was multiplication addition rule that you use
3.The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is NOT pearl?
Answer:
1_2/3
=1/3 or 0.33
Step-by-step explanation:
Probability is not more than 1..
The diagram shows the diameter of the opening
of a waffle ice cream cone.
18 cm
Which of the following is closest to the area of
the opening in square centimeters?
A.
1,017.88 cm2
C. 254.47 cm
B.
56.55 cm2
D. 28.27 cm2
I will give brainleist
Answers
D 36
Step-by-step explanation:
77 is the area for the squared trapezoid and 36 is the closest to 77
A rectangle measures 2 2/3 inches by 1 2/9 inches. What is its area?
Answer:
3.259259259259 in²
Step-by-step explanation:
Answer:
3 7/27
Step-by-step explanation:
Ok so first you do
2×1 = 2, then
2×2/9 = 4/9, then
1×2/3 = 2/3, then
2/3×2/9 = 4/27, then add all of those...
2+4/9+2/3+4/27= 3 7/27
Hope this helps!! :D
can you help me please
Answer:
D
Step-by-step explanation:
11 1/4 divided by 3= 3.75 (3 3/4)
Answer:
d) [tex]3\frac{3}{4}[/tex] pounds
Step-by-step explanation:
Hi there!
What we know:
- Sarah has [tex]11 \frac{1}{4}[/tex] pounds of dog food
- Sarah is dividing this into 3 containers
1) Convert [tex]11 \frac{1}{4}[/tex] into an improper fraction
[tex]11 \frac{1}{4}[/tex]
Multiply the whole number by the denominator
11 × 4 = 44
Add 44 to the numerator
44 + 1 = 45
[tex]\frac{45}{4}[/tex]
2) Divide [tex]\frac{45}{4}[/tex] by 3
[tex]\frac{45}{4} / 3[/tex]
Dividing by a number is the same as multiplying its reciprocal
[tex]= \frac{45}{4} *\frac{1}{3}[/tex]
Multiply the numerators and the denominators
[tex]45*1 = 45\\4*3 = 12[/tex]
[tex]= \frac{45}{12}[/tex]
3) Convert [tex]\frac{45}{12}[/tex] into a mixed number fraction
[tex]\frac{45}{12}[/tex] ⇒ [tex]3\frac{3}{4}[/tex]
Therefore, there will be [tex]3\frac{3}{4}[/tex] pounds of food in each container.
I hope this helps!
A rocket is launched from atop a 74-foot cliff with an initial velocity of 113 ft/s. The height of the rocket above the ground at time t is given by h=16t^2+113t+74. When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.
9514 1404 393
Answer:
7.7 seconds
Step-by-step explanation:
The solution is given by the quadratic formula.
For ax² +bx +c = 0, the roots are ...
x = (-b±√(b²-4ac))/(2a)
We want the positive root, so ...
x = (-113 -√(113² -4(-16)(74)))/(2(-16)) = (113 +√17505)/32 ≈ 7.6658
The rocket will hit the ground about 7.7 seconds after it is launched.