Answer:
1.66
Step-by-step explanation:
a = b*h
5.833 = 5*h
5.833/5 = h
1.166 = h
------------------------------------------
check work:
b*h = a
5 * 1.166 = 5.833
True
Answer:
1.66
Step-by-step explanation:
I did this already in my math class
What is the solution set of the system of equations
x+y = 5 and y=x^2- 25?
1) {(0.5) (11,-6)}
2) {(5,0).(-6,11)
3) {(-5,0),(6,11)
4) {(-5,10).(6.-1)
Sarah earns $340 per week and spends 20% of her earnings on transportation. How much does Sarah spend on transportation every week?
Answer:
$68
Step-by-step explanation:
=> 20% 0f 340
=> (20/100) * 340
=> (1/5) * 340
=> (340/5) = 68
Sarah spends $68 dollar on transportation.
Thenks and mark me brainliest :)
Pleaseee helppp!!! (Im looking for the x)
Answer:
[tex]2x + 15 + x = 171 \\ 3x = 171 - 15 \\ 3x = 156 \\ \frac{3x}{3} = \frac{156}{3} \\ x = 52[/tex]
Step-by-step explanation:
i hope this is helpful
What is the quotient?
Answer:
4 x 10^12
Step-by-step explanation:
Just subtracte the power since it is division
8- (-4)=12
Pleaseeee helpppppppp!!!
Answer:
x = 46°
Step-by-step explanation:
Appling the principle of supplementary angle in Geomentry.
Supplementary angle: These are angles that sum up to 180°
From the diagram above, x and 134° are supplementry because they sum up to 180°.
Therefore,
134+x = 180 (Supplementary angle)
Solve for x
x = 180-134
x = 46°
Therefore, the value of the missing angle is 46°
A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base. The base needs to be stronger than the sides, so it costs more. The base costs $9 per f t 2 , while the sides only cost $6 per f t 2 . We wish to find the dimensions of the box that minimize the cost of material used.
Answer:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
Step-by-step explanation:
Given
[tex]Volume = 128ft^3[/tex]
[tex]L = 2W[/tex]
[tex]Base\ Cost = \$9/ft^2[/tex]
[tex]Sides\ Cost = \$6/ft^2[/tex]
Required
The dimension that minimizes the cost
The volume is:
[tex]Volume = LWH[/tex]
This gives:
[tex]128 = LWH[/tex]
Substitute [tex]L = 2W[/tex]
[tex]128 = 2W * WH[/tex]
[tex]128 = 2W^2H[/tex]
Make H the subject
[tex]H = \frac{128}{2W^2}[/tex]
[tex]H = \frac{64}{W^2}[/tex]
The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:
[tex]A = LW + 2(WH + LH)[/tex]
The cost is:
[tex]Cost = 9 * LW + 6 * 2(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12H(W + L)[/tex]
Substitute: [tex]H = \frac{64}{W^2}[/tex] and [tex]L = 2W[/tex]
[tex]Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)[/tex]
[tex]Cost =18W^2 + \frac{768}{W^2}*3W[/tex]
[tex]Cost =18W^2 + \frac{2304}{W}[/tex]
To minimize the cost, we differentiate
[tex]C' =2*18W + -1 * 2304W^{-2}[/tex]
Then set to 0
[tex]2*18W + -1 * 2304W^{-2} =0[/tex]
[tex]36W - 2304W^{-2} =0[/tex]
Rewrite as:
[tex]36W = 2304W^{-2}[/tex]
Divide both sides by W
[tex]36 = 2304W^{-3}[/tex]
Rewrite as:
[tex]36 = \frac{2304}{W^3}[/tex]
Solve for [tex]W^3[/tex]
[tex]W^3 = \frac{2304}{36}[/tex]
[tex]W^3 = 64[/tex]
Take cube roots
[tex]W = 4[/tex]
Recall that:
[tex]L = 2W[/tex]
[tex]L = 2 * 4[/tex]
[tex]L = 8[/tex]
[tex]H = \frac{64}{W^2}[/tex]
[tex]H = \frac{64}{4^2}[/tex]
[tex]H = \frac{64}{16}[/tex]
[tex]H = 4[/tex]
Hence, the dimension that minimizes the cost is:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
HELP ASAP!! jjwjwhwjabagajsbs
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. 72 ÷ 8 − 2 × ( 3 + 1 ) ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 )
72 / 8 - 2 x 3 + 1 equals 1
(72 / 8) - 2 x 3 + 1 equals 4
72 / (8 - 2) x 3 + 1 equals 37
72 / (8 - 2) x (3 + 1) equals 48
Following Add-On Contains the content I think your doing:
The expressions are arranged in ascending order will be 72÷8−2×(3 + 1) > (72÷8)−2×3+1 > 72÷(8−2)×3+1 > 72÷(8−2)×(3+1).
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The expressions are given below:
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
Simplify the expression, then we have
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
9−2×4, 9−6+1, (72÷6)×3+1, (72÷6)×4
1, 2, 37, 48
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Four less than two times a number is seven times the sum of that number and 8. Which equation
could be used to solve this problem?
1. 4- 2n + 7n = 8
2. 2n - 4 = 7n + 8
3. 2n - 4 = 7(n + 8)
4. 4 - 2n = 7(n + 8)
9514 1404 393
Answer:
3. 2n - 4 = 7(n + 8)
Step-by-step explanation:
Two times a number is 2n. Four less than 2n is (2n-4). The sum of a number and 8 is (n+8). Seven times that sum is 7(n+8). The statement says these values are equal:
2n -4 = 7(n +8)
A guard in a 20m tall watchtower spots a vehicle at an angle of depression oi 25
How far horizontally from the tower is the vehicle, to one decimal place? (
Answer:
Solution given:
height[p]=20m
angle of depression [a]=25°
base[b]=?
we have
Tan a=p/b
tan 25=20/b
b=20/tan25
b=42.89 or 43
the tower is 43m far from the vehicle .
Interest charged when you miss a payment is called _____. A. accrued interest B. late interest C. past due interest D. late payment interest
Answer:
A
Step-by-step explanation:
Answer:
its d , Late payment interest
Step-by-step explanation:
It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 45 people in the first group and this group will be administered the new drug. There are 75 people in the second group and this group will be administered a placebo. After one year, 12% of the first group has a second episode and 14% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is less than the true percentage of those in the second group who suffer a second episode.
A. [ z < -1.65, RHo].
B. [ z < -1.65 and z > 1.65, FRHo].
C. [z > 1.65, FRHo].
D. [z < -1.65 and z > 1.65, FRHo].
E. [z > -1.65 and z < 1.65, RHo].
F. None of the above.
Answer:
F. None of the above.
Step-by-step explanation:
Let the null and alternate hypothesis be
H0: p1 ≥ p2 against the claim Ha: p1 < p2
the significance level is 0.1
The critical region is z < z∝= 1.28
The test statistic is
Z= ( p^1-p^2)- (p1-p2)/√p1^q1^/n1 + p2^q2^/n2
Here n1= 45 , n2= 75
p1= 0.12 p2= 0.14
q1= 0.88 q2= 0.86
z= 0.12- 0.14/√0.12*0.88/45 +0.14*0.86/75
Z= 0.02/ √0.00235 + 0.00161
Z= 0.02/0.062891
z= 0.318
The calculated value of z= 0.318 lies in the critical region z < 1.28
therefore accept Ha.
All of the options are incorrect as the critical value for one tailed test for 0.1 is 1.28 .
Degree and Radian Measures
Convert the given radian measure to a degree measure.
1.2 /pi (π)
a. -216°
b. 108°
c. 216°
d. -108°
Please select from the best choices provided
Answer:
C. 216°
Step-by-step explanation:
I calculated it logically
round 98,376 to the nearest thousand
Answer:
98000
Step-by-step explanation:
Lemonade will be served in 8 oz cups. One pint=16 oz. How many cups of lemonade in 5 gallons
Answer:
80 cups
Step-by-step explanation:
1 gallon = 128 oz
5x128= 640 oz
640/8=80
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 and a standard deviation of $290. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Answer:
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of $2,275 and a standard deviation of $290.
This means that [tex]\mu = 2275, \sigma = 290[/tex]
Sample of 65:
This means that [tex]n = 65, s = \frac{290}{\sqrt{65}}[/tex]
Finding the mean to be at least $2,095 per month
This is 1 subtracted by the p-value of Z when X = 2095. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a p-value of 0.
1 - 0 = 1
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
the minute hans on the clock shown below has a length of 7.5 cm. which of the following is closest to the distance that the tip of the hand travels as it moves from 12 to 4
Answer:
16
Step-by-step explanation:
The following is closest to the distance that the tip of the hand travels as it moves from 12 to 4 should be considered as the 16 cm.
Calculation of the distance:
Since the minute hans on the clock shown below has a length of 7.5 cm
And, the tip of the hand travels as it moves from 12 to 4
So,
For full rotation it should be like [tex]2\pi[/tex] radians
Since angle turned by minute hand in 5 minutes so it should be like [tex]= 2\pi \div 12[/tex] radians
So
[tex]= 7.5 \times 2.094[/tex]
= 15.7 cm
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Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer:
the volume is 600
Step-by-step explanation:
15*8*5=600
v=w*h*l
A b c or d?? Lmk..Brainly
Answer:
28.3 (b)
Step-by-step explanation:
To solve circumference, you will need to use the equation C = 2 *pi* r
for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it
C= 2 pi (4.5) Solve 2*4.5
C= 9 pi Now we input 3.14 for pi and multiply
C= 9(3.14)
C= 28.26 Now we round to the nearest tenth to get
C=28.3
When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level. Required:
a. Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.
b. Suppose that when the reactor is first shut down, the radiation level is 3 × 1017 units. After 60 s the level has dropped to 5.6 × 1013 units. Write the particular equation.
c. Sketch the graph of radiation level versus time.
d. It is safe to enter the reactor compartment
when the radiation level has dropped to
7 × 10–3 units. Will it be safe to enter the reactor compartment 5 min after the reactor has been shut down? Justify your answer.
Answer:
hold on ill edit this once i get answer!! <3
Step-by-step explanation:
I really hope you guys will help me
Answer:
I think its
ai. fx-f3
ii. 5gx
twice y is at most 29
Answer:
2t=29
Step-by-step explanation:
the phrase is at most means we set the constant 29 less than or equal to the term 2t using the (<=) operator
Leta has $45 in her account in May. How much money does she have in her account in August
Write an equation of a line with slope -4 and y- intercept of 0
Answer:
y=-4x
Step-by-step explanation:
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. When does your balance first exceed $1200?
Answer:
It would take 4 years. The formula for continuously compounded interest is: where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Step-by-step explanation:
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. after 11 years your balance first exceed $1200.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly.
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
[tex]1200 = 800(1 + \dfrac{3.6}{4})^{4t}\\\\300 = (1 + 0.9)^{4t}\\\\t = 11.4[/tex]
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i got yelled at for my grandma giving a coney dog at A and W and she got sick is there a way i can cut my dad out of his life
Answer:
this whole sentence confused me a lot
Step-by-step explanation:
yes there is, but it depends on how you want to do it
Answer:
I don't really get what you're implying can you please explain?
Step-by-step explanation:
haha this just really confused me :)
If a price decreases by 20%, I can calculate 20% of the price and subtract it
from the original price.
Or I can calculate in one step if I find ____ % of the original price
Answer:
To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8)
Step-by-step explanation:
Find the value of x.
B
X+2
3
E
2
X
С
A
x = [?]
Answer:
answer is given in up paper. where ans is -1/2
A family eats at a restaurant and leaves a tip that
increases the cost of the meal by 20%. The cost of the
meal before the tip is $41.27. How much is the cost of the
meal with the tip included?
Answer:
49.52
Step-by-step explanation:
Answer:
49.52 !!
Step-by-step explanation:
They’re correct ⬆️
The Unit Circle
What is cos 180°?
a. 0
b. 1
c. -1
d. 1/2
Please select the best answer from the choices provided
Answer:
C. -1
Step-by-step explanation:
I calculated it logically
Answer:
-1
Step-by-step explanation:
cos = opp/hyp
At 180º
adj = -1
hyp = 1
Cos 180 = -1/1 = -1