Answer:
x = 14
Step-by-step explanation:
Using cross products
10 x
----- = --------------
15 21
10*21 = 15x
210 = 15x
Divide each side by 15
210/15 =x
14 =x
Evelyn can run 3 miles in 40 minutes. Which equation can be solved to find m, the number of miles Evelyn can run in 60 minutes?
Answer:
m= 4.5 miles
Step-by-step explanation:
Let the number of miles Evelyn can run be m and can be modeled by the equation below
m= kx
Where x Is the Minutes
When m= 3
x= 40
3= k40
k= 3/40
If x= 60
m=3/40(60)
m = (60*3)/40
m= 180/40
m= 4.5 miles
An arrangement of bowling
pins has 5 pins in the first
row and 12 rows in all. In
each successive row two
pins are added.
Which of the following is
the explicit rule and what is
the number of pins in the
12th row?
Write an equation in slope-intercept form for the line with slope -3 and y-Intercept -2.
Answer:
y = -3x - 2
Step-by-step explanation:
Step 1: State what is known
Slope = m = -3
y-intercept = b = -2
Step 2: Substitute information into y = mx + b
y = (-3)x + (-2)
y = -3x -2
Therefore the equation in slop intercept form is y=-3x-2
Answer:
y = -3x-2Step-by-step explanation:
Replace m with -3, which is the slope replace b with -2, = y-intercept into the equation y=mx+b.
[tex]m = -3\\y - intercept = -2\\Slope\: intercept \: form :\\y =mx+c\\y = -3x-2[/tex]
Which multimedia sources are best for a student writing a research paper on childhood obesity? Check all that apply.
a documentary produced by an association of pediatricians
a sound bite of doctors at a forum discussing the issue
a cartoon showing families eating dinner at a fast-food restaurant
a podcast in which children share their eating habits
a timeline made by the government showing obesity trends
Answer:
1, 2 , 5
Step-by-step explanation:
Correct on edge 2020
The multimedia sources that are best for a student writing a research paper on childhood obesity are:
A documentary produced by an association of pediatricians.
A sound bite of doctors at a forum discussing the issue.
A timeline made by the government showing obesity trends.
What is obesity?Obesity is typically caused by overeating and inactivity. If you consume a lot of energy, especially fat and sugars, but don't burn it off through exercise and physical activity, your body will store a lot of it as fat.
Obesity is a complicated condition characterized by an excess of body fat. Obesity is more than simply an aesthetic issue.
Therefore, the correct options are 1, A documentary produced by an association of pediatricians. 2, A sound bite of doctors at a forum discussing the issue, and 5, A timeline made by the government showing obesity trends.
To learn more about obesity, refer to the link:
https://brainly.com/question/11366349
#SPJ2
Abox contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number
that is less than 12?
Answer:
11/100, 0.11, or 11%
Step-by-step explanation:
Suppose "35" cars start at a car race. In how many ways can the top 3 cars finish the race?
Answer:
Number of ways top 3 cars finish the race = 39,270
Step-by-step explanation:
Given:
Total number of cars = 35
Number of top cars = 3
Find:
Number of ways top 3 cars finish the race
Computation:
It is a permutation based problem.
So,
npr = n! / (n-r)!
35p3 = 35! / (35! - 3!)
35p3 = 35 ! / 32!
35p3 = 35 × 34 × 33
35p3 = 39,270
Number of ways top 3 cars finish the race = 39,270
Assume a healthy heart beats exactly 70 times per minute. If an individual lives to age 85 years, estimate the number of heartbeats in his or her lifetime, using scientific notation.
Answer:
3.12732 × 10⁹ beats
Step-by-step explanation:
Given that, in 1 min, the heart of an individual makes 70 beats, the number of beats the heart of the healthy individual makes in 85 years can be calculated as follows:
1 yr = 365 days, therefore,
85yrs = 85*365 = 31,025 days
1 day = 24 hours
31,025 days = 31,025*24 = 744,600 hours.
1 hr = 60 mins
744,600 hours = 744,600*60 = 44,676,000 mins
This means the individual lived for 44,676,000 mins (85yrs)
If 70 beats are made in 1 min, therefore, in 85yrs, the individual will make:
44,676,000*70 = 3,127,320,000 beats = 3.12732 × 10⁹ beats in 85yrs
Find a12 given the geometric sequence 2, -6, 18, -54, ...
A. 1,062,882
B.-1,062,882
C. 354,294
OD. -354,294
Answer:
The answer is option AStep-by-step explanation:
Since the above sequence is a geometric sequence
For an nth term in a geometric sequence
[tex]A(n) = a ({r})^{n - 1} [/tex]
where
a is the first term
r is the common ratio
n is the number of terms
From the question
a = - 6
To find the common ratio divide the next term by the previous term
That's
r = 18/-6 = - 3 or -54/18 = - 3
Since we are finding the 12th term
n = 12
Substitute these values into the above formula
We have
[tex]A(12) = - 6 ({ - 3})^{12 - 1} [/tex]
[tex]A(12) = - 6 ({ - 3})^{11} [/tex]
We have the final answer as
A(12) = 1,062,882Hope this helps you
a group of biologists counted the number of birds in migration patterns. The number of birds in each ob observation, but some of the data were lost. Which expression models the number of birds in the nth observation? please help me
Answer:
56 + 6(n - 1)
Step-by-step explanation:
To know which of the equation represent the nth term, we simply test each equation to see the one that will satisfy the table given above.
This can be obtained as follow:
For 56 + 6(n - 1)
1. n = 2
56 + 6(n - 1) = 56 + 6(2 - 1)
= 56 + 6(1)
= 56 + 6
= 62
2. n = 5
56 + 6(n - 1) = 56 + 6(5 - 1)
= 56 + 6(4)
= 56 + 24
= 80
For 56 + 12(n - 1)
1. n = 2
56 + 12(n - 1) = 56 + 12(2 - 1)
= 56 + 12(1)
= 56 + 12
= 68
2. n = 5
56 + 12(n - 1) = 56 + 12(5 - 1)
= 56 + 12(4)
= 56 + 48
= 56 + 24
= 104
For 62 + 6(n - 1)
1. n = 2
62 + 6(n - 1) = 62 + 6(2 - 1)
= 62 + 6(1)
= 62 + 6
= 68
2. n = 5
62 + 6(n - 1) = 62 + 6(5 - 1)
= 62 + 6(4)
= 62 + 24
= 86
For 62 + 12(n - 1)
1. n = 2
62 + 12(n - 1) = 62 + 12(2 - 1)
= 62 + 12(1)
= 62 + 12
= 74
2. n = 5
62 + 12(n - 1) = 62 + 12(5 - 1)
= 62 + 12(4)
= 62 + 48
= 110
From the illustrations made above,
Only equation 56 + 6(n - 1) satisfied the table.
Therefore, the expression 56 + 6(n - 1) can be used to obtain the nth term.
f + 3 pi = 7 pi what is f?
Answer:
f = 4 pi
Step-by-step explanation:
f + 3 pi = 7 pi
f = 7 pi - 3 pi
f = 4 pi
Answer:
f = 4 pi
Step-by-step explanation:
f + 3 pi = 7 pi
Subtract 3 pi from each side
f + 3 pi -3pi = 7 pi -3 pi
f = 4 pi
Write a rational number in fraction form that is equivalent to -1/5
Answer & Step-by-step explanation:
You can find a rational fraction equivalent to [tex]-\frac{1}{5}[/tex] by multiplying the numerator and denominator by the same number. The number can be any:
[tex]-\frac{1}{5} *3\\\\-\frac{1}{5}*\frac{3}{3}=-\frac{3}{15}[/tex]
This works because if you simplify the new number, it will have the same value as the first fraction.
If you simplify both fractions to a decimal value, they both equal -0.2.
When two straight lines cross, it is found that the angles opposite to each ate the same size. They are known as
The angles don't need to be lined up vertically, or have one over top another. You could have them laid out horizontally. All that matters is that they are opposite angles after an X shape has been formed by two crossing lines. Vertical angles are always congruent.
Find the distance that (5, 1) is from the origin. Round to three decimal places.
Answer: Distance = 2.449
Step-by-step explanation:
Given that the distance that (5, 1) is from the origin. That is (0,0) to (5,1)
where
X1 = 0
X2 = 5
Y1 = 0
Y2 = 1
The distance from the origin to the point (5, 1) can be calculated by using the formulae
Substitute all the parameters into the formular
D = [tex]\sqrt{(X2-X1) + (Y2-Y1)}[/tex]
D = [tex]\sqrt{(5-0) + (1-0)}[/tex]
D = [tex]\sqrt{5 + 1}[/tex]
D = [tex]\sqrt{6}[/tex]
D = 2.44948
D = 2.449 ( Three decimal places)
a) Is it reasonable to conclude that the weather or mechanical failures caused only about % of recent plane crashes?
A.
Yes, because there is the possibility of overlap between the categories.
B.
No, because there is no possibility for overlap between the categories.
C.
Yes, because there is no possibility for overlap between the categories.
D.
No, because there is the possibility of overlap between the categories.
Answer:
Yes, because there is no possibility for overlap between the categories.
Estimate and then solve the equation x-17 4/5=13 1/5
Answer:
x=31
Step-by-step explanation:
select the property that is demonstrated by: 3+7=7+3
Answer:
Commutative property of addition
Step-by-step explanation:
This is called the commutative property of addition which states that a + b = b + a. In this case, a = 3 and b = 7.
Answer:Communitive Property of Addition
Step-by-step explanation:
A+B=B+A 3+7=7+3
The communitive property of addition states that the order of two numbers being added doesn’t matter and that the sum is the same.
I will mark the brainliest
Please answer thank youu!!!
Answer: its option "b"
Pentagon;not regular
Step-by-step explanation:
The polygon has 5 sides but all the sides are not equal
hence, it is an irregular pentagon
Hope this helped you!!
Please Mark as Brainliest!! : )
logx - logx-1^2=2log(x-1) what is the value of x
Answer:
Step-by-step explanation:
[tex]logx -log(x-1)^2= 2 log(x-1)[/tex]
[tex]logx-2log(x-1) = 2log(x-1)[/tex]
[tex]logx=log(x-1)^4[/tex]
[tex]x=(x-1)^4[/tex]
[tex]x^4-4x^3+6x^2+1=0[/tex]
solve this equation
In a recent Super Bowl, a TV network predicted that 31 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 120 people who saw the commercials and found that 40 of them said they would watch one of the television shows. Suppose you have the following null and alternative hypotheses for a test you are running:
1. H0: p = 0.53 Ha: p ≠ 0.53
2. H0: p = 0.53 Ha: p ≠ 0.53
Calculate the test statistic, rounded to 3 decimal places.
Answer:
-4.317
Step-by-step explanation:
The z test statistic for testing of 1-proportion can be computed as
[tex]z=\frac{phat-p}{\sqrt{\frac{pq}{n} } }[/tex]
We know that
phat=x/n.
We know that x=40 and n=120.
Thus,
phat=40/120=0.3333
p=hypothesized proportion=0.53
q=1-p=1-0.53=0.47
So, required z-statistic is
[tex]z=\frac{0.3333-0.53}{\sqrt{\frac{0.53(0.47)}{120} } }[/tex]
[tex]z=\frac{-0.1967}{ 0.04556 }[/tex]
z=-4.317.
Thus, the required test statistic value for given hypothesis is z=-4.317.
A line segment with one end at A (-3,2) has midpoint M (2,-3). Find the coordinate of the other end point B.
(A.) B (-1,-1)
(B.) B (5,-5)
(C.) B (1,-4)
(D.) B (7,-8)
Answer:
D
Step-by-step explanation:
since all x coordinates are distinct, lets just find the x coordinate (multiple choice question)
Midpoint formula:
given two points, (x1, y1) and (x2, y2)
the midpoint is ((x1+x2)/2, (y1+y2)/2)
-3+x2 = 2*2
x2 = 7
Where is the blue dot on the number line?
Answer:
-5.8
Step-by-step explanation:
When Mount Saint Helens erupted in 1980, the top of the mountain was blown off. A surveyor determined the height of the new summit by measuring the angle of elevation to the top to be 37°46'. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40°30'. Find in ft the new height of Mount Saint Helens.
Answer:
Height= 8341.6 feet
Step-by-step explanation:
A surveyor determined the height of the new summit by measuring the angle of elevation to the top to be 37°46'. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40°30'.
40°30'= 40.5°
37°46'= 37.767°
b = 180-40.5
b= 139.5°
a= 180-139.5-37.767
a= 2.733°
Using sine method
1000/Sina= y/sinB
1000/sin 2.733= y/sin 139.5
(1000*sin 139.5)/sin 2.733= y
(1000*0.6494)/0.04768= y
13619.96= y
Y= 13620 feet
Height/sin 37.767= 13620
Height=13620*sin37.767
Height= 8341.59
Height= 8341.6 feet
The claim is that for a smartphone carrier's data speeds atairports, the mean= 14.00Mbps. The sample size is equals=27 and the test statistic is t equals=1.386.
What is the P-value=
Degree of freedom = sample size -1 = 27-1 = 26
Given t = 1.386
This is a two tailed test.
Using a TI83/84 calculator:
2 x tcdf(1e99,-1.386,26) = 0.177520
The p value = 0.177520 (round the answer as needed)
Use the divergence theorem to find the outward flux of the vector field F(x,y,z)=2x2i+5y2j+3z2k across the boundary of the rectangular prism: 0≤x≤1,0≤y≤3,0≤z≤1.
By the divergence theorem, the flux of F across the boundary of a region, ∂R, is equal to the integral of div(F ) over the region itself, R. In this case, the flux would be
[tex]\displaystyle \iint_{\partial R}\mathbf F\cdot\,\mathrm d\mathbf S = \iiint_R\mathrm{div}(\mathbf F)\,\mathrm dx\,\mathrm dy\,\mathrm dz \\\\ = \int_0^1\int_0^3\int_0^1\frac{\partial(2x^2)}{\partial x} + \frac{\partial(5y^2)}{\partial y} + \frac{\partial(3z^2)}{\partial z} \,\mathrm dx\,\mathrm dy\,\mathrm dz \\\\ = \int_0^1\int_0^3\int_0^1 (4x+10y+6z)\,\mathrm dx\,\mathrm dy\,\mathrm dz = \boxed{60}[/tex]
In this exercise we have to calculate the flux by the divergent theorem:
[tex]\int\limits\int\limits_R\, ds = 60[/tex]
By the divergence theorem, the flux of F across the boundary of a region, ∂R, is equal to the integral of div(F ) over the region itself, R. In this case, the flux would be:
[tex]\int\limits\int\limits_R {F} \, ds= \int\limits \int\limits \int\limits_R {div(F)} \, dxdydz\\=\int\limits^1_0 \int\limits^3_0 \int\limits^1_0 {(4x+10y+6z)} \, dx dy dz= 60[/tex]
See more about vectorial calculus at : brainly.com/question/6960786
59. Solve the equation.
--3r - 4(r + 2) = 11
Answer:
r = -19/7
Step-by-step explanation:
-3r - 4r - 8 = 11
-7r - 8 = 11
-7r= 11 +8
-7r = 19
A rectangle has a hight of 4x and a with of 3x+1
.Express the area of the entire rectangle. Expression should be expanded.
Sean took the bus from Seattle to Boise, a distance of 506 miles. If the trip took
7 2/3 hours, what was the speed of the bus?
Answer:
66 miles per hour
Step-by-step explanation:
To find the speed, divide the distance by the amount of time:
506 ÷ 7 2/3
= 66
= 66 miles per hour
Answer:
66
Step-by-step explanation:
Notice that the problem is asking us to find the rate for Sean's trip. Since we are also given the distance he is traveling and the travel time, we should use the distance, rate, and time formula.
d=rt
where d=distance r=rate t=time
We are given
d=506 mi
r=?
t=723=233 hr
Solving for rate and then substituting the given information into the distance, rate, time formula gives
r=dt=506233=5061⋅323=66
So Sean drove at a rate of 66 mph.
NEED HELP ASAP!! Angles of Elevation and Despression! Need to find x! Round to the nearest tenth!
Answer:
Hey there!
Sine 61=x/500
Sine 61(500)=x
x=437.3
Let me know if this helps :)
I need some help on this question. So, would <FET equal <FDT? or what would it equal...
Hi Hello.....How r u......
Help me pls- I'll give u 55 points <3
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
So we have the expression:
[tex]39\div(2+1)-2\times(4+1)[/tex]
Recall the order of operations or PEMDAS:
P: Parentheses
E: Exponents
M/D: Multiplication and Division (Whichever First)
A/S: Addition and Subtraction (Whichever First)
Thus, first do the operations inside the parentheses:
[tex]39\div(2+1)-2\times(4+1)\\=39\div(3)-2\times(5)[/tex]
Now, do division and multiplication:
[tex]39\div(3)-2\times(5)\\=13-2\times5[/tex]
And the multiplication:
[tex]13-2\times5\\=13-10[/tex]
And finally, subtract:
[tex]13-10\\=3[/tex]