Answer:
(6,3)
Step-by-step explanation:
Two is two away from four and since it is on the left side, you add to get six as your x coordinate. The y coordinate stays the same.
Which expressions are equivalent to -6.3x - 4.2?
-4.7 - 2.3x + 0.5 - 4x
-5.3x - 4.2 - x
-3.4 - 6.3x - 0.8
-6.2x - 4.2
-4.2x - 6.3
-3.7 - 5.3x + 0.5
multiple choice.
Answer:
(1): -4.7 - 2.3x + 0.5 - 4x
(2):-5.3x-4.2-x
(3):-3.4-6.3x-0.8
Step-by-step explanation:
By Collecting like terms and adding the answer I get -6.3x - 4.2
(1):-4.7-2.3x+0.5-4x
Collect like terms
-2.3x-4x-4.7+0.5
-6.3x-4.2
(2):-5.3x-4.2-x
Collect like terms
-5.3x-x-4.2
-6.3x-4.2
(3): -3.4-6.3x-0.8
Collect like terms
-6.3x-3.4-0.8
-6.3x-4.2
Answer:
The first 3 are equivalent the last 3 aren't.
Step-by-step explanation:
I need help with this slope problem please!
Answer:
m= 0/-2
Step-by-step explanation:
y2-y1 6-6 0 m= ----------- = ----------- = ------- x2-x1 -4+2 -2Meg is building a rectangular prism with cubes. Which is the volume of Meg's
rectangular prism?
Answer:
48
Step-by-step explanation: 4x8=32 2x8=16 32+16=48 :)
david has to sell 778 chocolate bars to win a trip if each box contains 18 chocolate bars how many boxes will he need to sell to win the trip
Answer:
44 boxes
Step-by-step explanation:
778/18 = 43.222
round up cause you cant sell 2/10 of a box
In how many ways can a member of a hiring committee select 3 of 12 job applicants for further consideration?
Answer: 220
Step-by-step explanation:
When we wanto to create a group of K elements for a set of N elements (where the order of the K elements does not matter, so we do not considerate the permutations of the K elements), the number of possible combinations is:
[tex]C = \frac{N!}{(N - K)!*K!}[/tex]
Here N = 12 and K = 3
[tex]C = \frac{12!}{9!*3!} = \frac{12*11*10}{3*2} = 220[/tex]
So there are 220 possible combinations
Answer:
220
Step-by-step explanation:
If 5 potatoes together have a mass of 1 kilogram and 8 pears together have a mass of 1200 grams, which has the greater mass, a potato or a pear?
A fish tank is 3 feet by 4 feet by 5 feet. How many galoons of water will it hold? A cubic foot of water is 7.5 gallons.
Answer: 8 gallons of water.
Step-by-step explanation:
3 x 4 x 5 = 60.
60 divided by the number of gallons per cubic foot 7.5 = 8 gallons. :)
Write an equation in slope-intercept form for the line that passes through (4,-4) and parallel to 3 +4x=2y-9
Answer:
y=-2x-12
Step-by-step explanation:
Make the equation into slope intercept form
-2y=-4x-12
divide by -2
y=2x+6
since the line is parallel the slope is the same
y=2x+b
plug in (4,-4)
-4=8+b
b=-12
y=-2x-12
Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An article reported on a pilot study in which each of 58 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 193 and the sample standard deviation was 88. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content
Answer:
We conclude that the true average estimated calorie content in the population sampled exceeds the actual content.
Step-by-step explanation:
We are given that an article reported on a pilot study in which each of 58 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories.
The resulting sample mean estimated calorie level was 193 and the sample standard deviation was 88.
Let [tex]\mu[/tex] = true average estimated calorie content in the population sampled.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 153 calories {means that the true average estimated calorie content in the population sampled does not exceeds the actual content}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 153 calories {means that the true average estimated calorie content in the population sampled exceeds the actual content}
The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean estimated calorie level = 193 calories
s = sample standard deviation = 88
n = sample of individuals = 58
So, the test statistics = [tex]\frac{193-153}{\frac{88}{\sqrt{58} } }[/tex] ~ [tex]t_5_7[/tex]
= 3.462
The value of t test statistics is 3.462.
Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 0.05 significance level the t table gives critical value of 1.6725 at 57 degree of freedom for right-tailed test.
Since our test statistic is more than the critical value of t as 3.462 > 1.6725, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the true average estimated calorie content in the population sampled exceeds the actual content.
There is 500 mg of potassium in 1 cup (240 ml) of orange juice. Your renal patient must watch his potassium intake not to exceed 2 mg per kg of body weight per day from Orange juice alone. How much juice (in ml) can this patient have per day if the patient weighs 135 lb?
Answer:
58.79 mL of juice
Step-by-step explanation:
To do this, let's gather the data first:
In 1 cup of orange juice we have 500 mg of potassium. A patient weights 135 lb, and he needs to take care of it's potassium intake and not exceed 2 mg of K / kg per day.
So obviously he cannot drink a whole cup of orange juice. It has to be less. In order to know this, we need to know first the weight in kg. 1 lb equals 0.4536 kg so in 135 lb:
W = 135 lb * 0.4536 kg/lb = 61.24 kg
Now, we need to know with this weight, how much potassium it can takes:
Intake = 61.24 kg * 2 mg/kg = 122.48 mg of K
So, the maximum amount of potassium per day is 122.48 mg. This means that the quantity of orange juice this person can take is:
Juice = 122.48 mg * 240 mL / 500 mg
Juice = 58.79 mL of juice or simply 59 mL
Determines the length of the chord intercepted by the straight line of equation y = -4x + 8 on the parabola of equation y = -3x^2 + 5x + 2.
Answer:
Let's work out the intercepted points:
-4x + 8 = -3x^2 + 5x + 2
<=>
3x^2 - 9x + 6 = 0
<=>
x^2 - 3x + 2 = 0
<=>
(x - 1)(x - 2) = 0
<=>
x = 1 => y = -4 x 1 + 8 = 4 => A(1, 4)
and
x = 2=> y = -4 x 2 + 8 = 0 =>B(2, 0)
Then, length of chord AB is calculated by:
L = sqrt [(2 - 1)^2 + (0 - 4)^2)] = ~4.123
When you cough,the radius of your trachea (windpipe) decreases,affecting the speed S of the air in the trachea. If r0 is the normal radius of the trachea, the relationship between the speed S of the air and the radius r of the trachea during a cough is given by a function of the form
S(r) = (r0 - r) ar^2
where a is positive constant. Find the radius r for which the speed of the air is greatest.
Answer: 2r(0)/3.
Step-by-step explanation:
So, we are given one Important data or o or parameter in the question above and that is the function of the form which is given below(that is);
S(r) = (r0 - r) ar^2 -----------------------------(1).
We will now have to differentiate S(r) with respect to r, so, check below for the differentiation:
dS/dr = 2ar (r0 - r ) + ar^2 (-1 ) ---------;(2).
dS/dr = 2ar(r0) - 2ar^2 - ar^2.
dS/dr = - 3ar^2 + 2ar(r0) ------------------(3).
Note that dS/dr = 0.
Hence, - 3ar^2 + 2ar(r0) = 0.
Making ra the subject of the formula we have;
ra[ - 3r + 2r(0) ] = 0. -------------------------(4).
Hence, r = 0 and r = 2r(0) / 3.
If we take the second derivative of S(r) too, we will have;
d^2S/dr = -6ar + 2ar(0). -------------------(5).
+ 2ar(0) > 0 for r = 0; and r = 2r(0)/3 which is the greatest.
Answer:
[tex]r =\frac{2r_{0}}{3}[/tex]
Step-by-step explanation:
We need to take the derivative of S(r) and equal to zero to maximize the function. In this conditions we will find the radius r for which the speed of the air is greatest.
Let's take the derivative:
[tex]\frac{dS}{dr}=a(2r(r_{0}-r)+r^{2}(-1))[/tex]
[tex]\frac{dS}{dr}=a(2r*r_{0}-2r^{2}-r^{2})[/tex]
[tex]\frac{dS}{dr}=a(2r*r_{0}-3r^{2})[/tex]
[tex]\frac{dS}{dr}=ar(2r_{0}-3r)[/tex]
Let's equal it to zero, to maximize S.
[tex]0=ar(2r_{0}-3r)[/tex]
We will have two solutions:
[tex]r = 0[/tex]
[tex]r =\frac{2r_{0}}{3}[/tex]
Therefore the value of r for which the speed of the air is greatest is [tex]r =\frac{2r_{0}}{3}[/tex].
I hope it helps you!
Consider the estimated equation from Example 4.3, which can be used to study the effects of skipping class on college GPA: 2 colGPA 1.39 .412 hsGPA .015 ACT .083 skipped (.33) (.094) (.011) (.026) n 141, R2 .234. (i) Using the standard normal approximation, find the 95% confidence interval for hsGPA. (ii) Can you reject the hypothesis H0: hsGPA .4 against the two-sided alternative at the 5% level
Answer:
Step-by-step explanation:
1) The confidence interval is calculated as the following
[tex]CI = ( \bar x-1.96 \sigma ,\bar x=1.96 \sigmam)[/tex]
[tex]= (0.412-1.96 \times 0.094, 0.412 = 1.96 \times 0.094)\\\\= (0.22776, 0.59624)[/tex]
Hence, the confidence interval is [tex]0.22776 \leq \beta_G_P_A \leq 0.59624)[/tex]
11) Under two sid t-tailed test, the null hypothesis
[tex]H_0; \beta_{GPA}=0.4[/tex]
Against the alternative hypothesis
[tex]H_1 ; \beta _{GPA} \neq 0.4[/tex]
Under null hypothesis
[tex]t = \frac{\hat \beta _1 - \beta _1}{Se( \beta _1)} \\\\ =\frac{0.412-0.4}{0.094} \\\\=0.12766[/tex]
The degree of freedom is n - 1 = 140
From the t - table at 5% level of significance under two - tail is 1.96
Since , calculated value is lowe than the tabulated value, we do not reject the null hypothesis.
The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What is the total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form a×10b, what are the values of a and b?
Answer:
[tex]8.182X10^8 $pounds[/tex]
a=8.182 and b=8
Step-by-step explanation:
Weight of the Empire State Building =[tex]7.3X 10^8[/tex] pounds.
Weight of the One World Trade Center building= 88,200,000 pounds.
=[tex]8.82 X 10^7[/tex]
The addition of the two:
[tex]=7.3X 10^8+8.82 X 10^7\\$To make it easier to add, express both as powers of 8\\=7.3X 10^8+0.882 X 10^8\\=(7.3+0.882)X10^8\\=8.182X10^8 $ pounds[/tex]
Comparing with the form: [tex]aX10^b[/tex]
a=8.182 and b=8
Peter rolls a fair dice 114 times. How many times would Peter expect to roll a number greater than 1?
Answer:
A dice of six faces has 5 numbers bigger than 1 (from 2 to 6).
Then, the number Peter is expecting is : 114 x (5/6) = 95 (times)
Hope this helps!
:)
Pls answer this question I give brainliest thank you! Number 2
Answer:
Step-by-step explanation:
Answer:
D. 625
Step-by-step explanation:
If the side length for each block is 2 1/2 then two blocks together make 5 so 4 blocks going up makes the height 10 and two blocks for the width make 5 and the 5 blocks on the bottom going across for length make 12 1/2 and 5*10*12 1/2= 625
Which mixed number is equivalent to the improper fraction 55/4
The mixed number will be 13 3/4.
Solve for x .
18 ÷ x = -2
x =
Answer:
x = -9
Step-by-step explanation:
18 ÷ x = -2
18/x = -2/1
Cross multiplying, we get
-2x = 18
x = 18/-2
x = -9
hope it helps!
The length of a rectangle is 3 feet less than 4 times the width. The perimeter is 34 feet
A.equation ?
B width ?
C.length?
A.Equation
Step-by-step explanation:
A. Equation 30 plus 4
PLEASE HELP for my math class
Answer:
$134.49
Step-by-step explanation:
Multiply the rate by the salary:
7.65% × $1758 = $134.49
Tyler's employer should deduct $134.49.
What is more 7 9/10 or 7 4/5?
Answer:
7 9/10
Step-by-step explanation:
A music professor offers his 40 students the option of coming to an additional rehearsal session the week before their juries (musical final exams.) In order to decide whether these extra sessions actually help students, he keeps track of who attends them and compares their jury scores to those of students who did not schedule extra sessions. This study is a(n): A) matched pairs design. B) randomized block design. C) nonrandomized experiment. D) observational study. E) completely randomized experiment.
Answer:
D. Observational Study
Explanation:
An observational study is one in which all the participants are subjected to a common treatment and then compared to people who did not receive the same treatment. This is the case with the students who where subjected to the same treatment; an additional rehearsal session. They are then observed by the professor and compared to those who did not participate in the experiment.
This is also an example of a cohort observational study. A cohort observational study is one in which all the participants have a common uniting factor. They are made to undergo a treatment and then compared to those who did not receive the treatment. This type of study is subject to bias because a positive or negative result might be because of other factors not related to the study.
Which equation represents the line that passes through points (1, –5) and (3, –17)?
A. y = -6x + 1
B. y = 6x + 1
C. y = -6x - 1
D. y = 6x - 1
Answer:
C
Step-by-step explanation:
I’m rusty with my math, so I’m not 100% sure this is correct. My best attempt.
(1,-5) & (3,-17)
1=1x, -5=1y, 3=2x, -17=2y
Formula is y2-y1/x2-x1
-17 - -5 = -12
3 - 1 =2
So -12/2 = -6
Formula for the line is
y-y1 = m (x-x1)
In this equation m=-6
Y - -5 = -6 ( x - 1 )
Answer:C
Step-by-step explanation:
Convert the angle \theta=\dfrac{17\pi}{18}θ=
18
17π
theta, equals, start fraction, 17, pi, divided by, 18, end fraction radians to degrees.
Express your answer exactly.
\theta=θ=theta, equals
^\circ
Ф= ?
180º = π rad
So
(17π/18 rad) * (180/π º/rad) = (17π * 180)/(18 * π) º = 170º
can someone help me with my homework please!!!
Answer:
c
Step-by-step explanation:
You can either try each answer on the table above, or find the slope then find the function/equation.
c-y1=s(n-x1)
(x1,y1) being any pair from the table and s being the slope.
Element X decays radioactively with a half-life of 14 minutes if there are 680 grams of element X how long to the nearest 10th of a minute would it take the element to decay 17 grams
Answer:
It would take 74.5 minutes for the element to decay 17 grams.
Step-by-step explanation:
The amount of element X after t minutes is given by the follwoing equation:
[tex]X(t) = X(0)e^{rt}[/tex]
In which X(0) is the initial amount of the substance and r is the decay rate.
Half life of 14 minutes.
This means that [tex]X(14) = 0.5X(0)[/tex]
So
[tex]X(t) = X(0)e^{rt}[/tex]
[tex]0.5X(0) = X(0)e^{14r}[/tex]
[tex]e^{14r} = 0.5[/tex]
[tex]\ln{e^{14r}} = \ln{0.5}[/tex]
[tex]14r = \ln{0.5}[/tex]
[tex]r = \frac{\ln{0.5}}{14}[/tex]
[tex]r = -0.0495[/tex]
So
[tex]X(t) = X(0)e^{-0.0495t}[/tex]
There are 680 grams of element X
This means that [tex]X(0) = 680[/tex]
[tex]X(t) = X(0)e^{-0.0495t}[/tex]
[tex]X(t) = 680e^{-0.0495t}[/tex]
How long would it take the element to decay 17 grams
This is t for which X(t) = 17. So
[tex]X(t) = 680e^{-0.0495t}[/tex]
[tex]17 = 680e^{-0.0495t}[/tex]
[tex]e^{-0.0495t} = \frac{17}{680}[/tex]
[tex]e^{-0.0495t} = 0.025[/tex]
[tex]\ln{e^{-0.0495t}} = \ln{0.025}[/tex]
[tex]-0.0495t = \ln{0.025}[/tex]
[tex]0.0495t = -\ln{0.025}[/tex]
[tex]t = -\frac{\ln{0.025}}{0.0495}[/tex]
[tex]t = 74.5[/tex]
It would take 74.5 minutes for the element to decay 17 grams.
What is the midline equation of the function h(x) = 5 sin(4.x– 2) – 3?
y=
Answer:
y = -3
Step-by-step explanation:
The midline value is the added constant, -3. The equation for the line is ...
y = -3
In the equation m = k + 3, m is the:
Answer:
Step-by-step explanation:
m is the dependent variable; it represents the value of a linear function of k:
m = f(k) = k + 3
Hector invests $20,000 at age 21. He hopes the investment will be worth $200,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
Answer:
12.12%
Step-by-step explanation:
We have that the formula is given by:
A = p * e ^ (r * t)
From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19
if we replace we have:
200000 = 20000 * e ^ (19 * r)
we must calculate r:
e ^ (19 * r) = 200000/20000
e ^ (19 * r) = 10
19 * r = ln 10
r = ln 10/19
r = 0.1212
In other words, the rate of growth is 12.12%
Answer:
12.1%
Step-by-step explanation:
The difference between the most hours of sleep and the least of these students was 2.5 hours. True or false?
The correct anwer is False
Explanation
According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.
