Answer:
400 g
Step-by-step explanation:
Let p represent the mass of the peas & carrots. The scale is balanced when the mass on one side is equal to the mass on the other side.
p + 2(300 g) = 4(250 g)
p = 1000 g -600 g . . . . . subtract 600 g
p = 400 g
The mass of the peas & carrots is 400 grams.
A study is done to see if the average age a "child" moves permanently out of his parents' home in the United States is at most 23. 43 U.S. Adults were surveyed. The sample average age was 24.2 with a standard deviation of 3.7. The p-value is
Answer:
The p-value is 2.1%.
Step-by-step explanation:
We are given that a study is done to see if the average age a "child" moves permanently out of his parents' home in the United States is at most 23. 43 U.S. Adults were surveyed.
The sample average age was 24.2 with a standard deviation of 3.7.
Let [tex]\mu[/tex] = true average age a "child" moves permanently out of his parents' home in the United States.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 23 {means that the average age a "child" moves permanently out of his parents' home in the United States is at most 23}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 23 {means that the average age a "child" moves permanently out of his parents' home in the United States is greater than 23}
The test statistics that will be used here is One-sample t-test statistics because we don't know about 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 average age = 24.2
s = sample standard deviation =3.7
n = sample of U.S. Adults = 43
So, the test statistics = [tex]\frac{24.2-23}{\frac{3.7}{\sqrt{43} } }[/tex] ~ [tex]t_4_2[/tex]
= 2.127
The value of t-test statistics is 2.127.
Now, the p-value of the test statistics is given by;
P-value = P( [tex]t_4_2[/tex] > 2.127) = 0.021 or 2.1%
Jamie's dog eats 3/4 pound of dog food each day. How many pounds of dog
food does Jamie's dog eat in 4 days?
Answer:
The dog will eat 3 lbs
Step-by-step explanation:
Take the amount eaten per day and multiply by the number of days
3/4 * 4 = 3
The dog will eat 3 lbs
Answer:
3 pounds
Step-by-step explanation:
Multiply the amount of dog food per day with the number of days.
[tex]\frac{3}{4} \times 4[/tex]
[tex]\frac{12}{4} =3[/tex]
In 4 days, Jamie's dog will eat 3 pounds of dog food.
The equation of the line of best fit is y=15.621x+8.83 Based on the line of best fit, Approximately how many pages are predicted To be in a book with eight chapters
Answer:
[tex] y = 15.621x +8.83[/tex]
We assume that y represent the number of pages predicted and x the number of chapters.
And we want to find the predicted value for a book of x =8 chapters. S replacing we got:
[tex] y = 15.621*8 + 8.83= 133.798[/tex]
And we can conclude that approximately we would have between 133 and 134 pages for a book of 8 chapters
Step-by-step explanation:
For this case we have the following model given:
[tex] y = 15.621x +8.83[/tex]
We assume that y represent the number of pages predicted and x the number of chapters.
And we want to find the predicted value for a book of x =8 chapters. S replacing we got:
[tex] y = 15.621*8 + 8.83= 133.798[/tex]
And we can conclude that approximately we would have between 133 and 134 pages for a book of 8 chapters
x =x=x, equals ^\circ ∘
Answer:
x = 64
Step-by-step explanation:
A circle equal 360 degrees
180 + 90 + x + 26 = 360
Combine like terms
296+x = 360
Subtract 296 from each side
296+x-296 = 360-296
x = 64
A landscaping company charges $50 per cubic yard of mulch plus a delivery charge of $24. Find a
linear function which computes the total cost C(in dollars) to deliver a cubic yards of mulch.
C(x) =
Answer: c(x) = $50*x + $24
Step-by-step explanation:
First, this situation can be modeled with a linear equation like:
c(x) = s*x + b
where c is the cost, s is the slope, x is the number of cubic yards of mulch bought, and b is the y-intercept ( a constant that no depends on the number x)
Then we know that:
The company charges $50 per cubic yard, so the slope is $50
A delivery charge of $24, this delivery charge does not depend on x, so this is the y-intercept.
Then our equation is:
c(x) = $50*x + $24
This is:
"The cost of buying x cubic yards of mulch"
13. If 6 times the 6th term of an A.P. is equal to
13 times the 13th term, prove that 19th term
of this A.P. is zero.
please give the answer as fast as you can
please
Answer:
see explanation
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
6(a₁ + 5d) = 13(a₁ + 12d) ← distribute parenthesis on both sides
6a₁ + 30d = 13a₁ + 156d ( subtract 13a₁ from both sides )
- 7a₁ + 30d = 156d ( subtract 30d from both sides )
- 7a₁ = 126d ( divide both sides by - 7 )
a₁ = - 18d
Now
a₁₉ = a₁ + 18d = - 18d + 18d = 0 ← as required
Simplify the expression:
4w + 10(7w+1)
Answer:
74w+10
Step-by-step explanation:
That's the answer
graph the function f(x)=3/2(x-4)^2+3
Answer:
its 23
Step-by-step explanation:
Write an equation for the line that passes through the point (4,5) and is perpendicular to−7x+y=2. Use slope-intercept form.
Answer:
y= -1/7x + 39/7
Step-by-step explanation:
Slope - intercept form is:
y= mx +b, where m represents the slope of the lineGiven the line:
- 7x +y= 2,which can be shown as:
y= 7x+2 if we add 7x to both sides of equationWe need to write an equation for the line that it perpendicular to the given line and passes through the point (4,5)
As we know, perpendicular line has a slope opposite-reciprocal to the given, so the slope is:
m= - 1/7and the form of the line is:
y= -1/7x +bWe can find b, by using the point (4, 5), which means x=4 and y=5:
5= -1/7 * 4 + b ⇒ b= 5+ 4/7= 5 4/7 = 39/7And the equation for this line is:
y= -1/7x + 39/7If we assume that asset X has an expected return of 10 and a variance of 10, then its coefficient of variation is:
Answer: Its coefficient of variation = 0.316
Step-by-step explanation:
The formula to find the coefficient of variations:
Coefficient of variation: [tex](\dfrac{\sqrt{\text{variance}}}{\text{return}})[/tex]
Given: Asset X has
Variance = 10
Expected return = 10
then, coefficient of variation [tex]=\dfrac{\sqrt{10}}{10}=\dfrac{1}{\sqrt{10}}\approx0.316[/tex]
Hence, its coefficient of variation = 0.316
Which of the following functions is graphed below?
O A. y - x - 61+3
O B. y - x + 61-3
O C. y = x +61+3
D. y - x - 61-3
Answer:
B
Step-by-step explanation:
Since the vertex of the function is (-6, -3), we know the equation must be y = |x + 6| - 3.
Answer:
B. |x+6|-3
Step-by-step explanation:
Well we can tell by looking at the graph that the line has a y-intercept of +3,
meaning we can cross out choices A and C.
Now we can graph B and D,
Look at the image below ↓
By looking at the graphed lines we can tell that y = |x+6|-3 is the correct answer.
Wel can also conclude that choice B is correct because of its vertex being at (-6,-3).
Thus,
answer choice B is the correct answer.
Hope this helps :)
Select the correct answer. Consider the function f(x) = 3x and the function g, which is shown below. How will the graph of g differ from the graph of f? The graph of g is the graph of f shifted to the right by 3 units. The graph of g is the graph of f shifted down by 3 units. The graph of g is the graph of f shifted to the left by 3 units. The graph of g is the graph of f shifted up by 3 units.
Answer:
The graph of g is the graph of f shifted up by 3 units.
Step-by-step explanation:
Consider the graph of a function r with real numbers k and h.
Transformation Effect
r(x) + k shifts the graph up k units
r(x) - k shifts the graph down k units
r(x + h) shifts the graph to the left h units
r(x - h) shifts the graph to the right h units
It is given that g(x) = f(x) + 3. Therefore, the graph of g is the graph of f shifted up by 3 units.
Write the equation of a line through the given point with the given slope (0,6);m undefined
Answer:
x=0
Step-by-step explanation:
If the slope is undefined, the line is vertical
vertical lines are of the form
x =
Since the point is (0,6)
x=0
Write the equations after translating the graph of y = |x|: one unit up,
Answer:
[tex]g(x) = |x| + 1[/tex]
Step-by-step explanation:
Given
[tex]y = |x|[/tex]
Required
Translate 1 unit up
Start by replacing y with f(x)
[tex]f(x) = |x|[/tex]
To translate an the graph of an absolute function upward, you make use of the formula;
[tex]g(x) = f(x) + k[/tex]
Where k is the number of units
In this case; [tex]k = 1[/tex]
Hence;
[tex]g(x) = f(x) + k[/tex]
Substitute [tex]k = 1[/tex]
[tex]g(x) = f(x) + 1[/tex]
Substitute [tex]f(x) = |x|[/tex]
[tex]g(x) = |x| + 1[/tex]
Hence, the resulting equation is [tex]g(x) = |x| + 1[/tex]
A circle has a center at (4, -7) and a radius of 4 units. Write an equation of this circle.
Answer:
(x – 4)^2 + (y + 7)^2 = 16
Step-by-step explanation:
The formula of a circle is:
(x – h)^2 + (y – k)^2 = r^2
(h, k) represents the coordinates of the center of the circle
r represents the radius of the circle
If you plug in the given information, you get:
(x – 4)^2 + (y – (-7))^2 = 4^2
which simplifies into:
(x – 4)^2 + (y + 7)^2 = 16
What does volume measure? the amount of space occupied by a two-dimensional solid object the total area of all the surfaces of a three-dimensional solid object the amount of space inside the boundary of a two-dimensional object the amount of space occupied by a three-dimensional solid object
Answer:
the amount of space occupied by a three-dimensional solid object
Step-by-step explanation:
Volume is a measure of the space in a 3D solid object enclosed by the closed surfaces of the solid object.
By using the definition of volume, we can see that the correct option is the last one:
"The amount of space occupied by a three-dimensional solid object"
What does volume measure?
Volume is defined as a 3-dimensional metric derived from longitude, that measures a region in the space. So, each region that "takes space" has a volume.
With that in mind, the option that correctly describes volume is the last option:
"The amount of space occupied by a three-dimensional solid object"
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490
The population, p, in thousands of a resort community is given by P(t)=700t/4t[tex]x^{2}[/tex]+9
Answer:
Step-by-step explanation:
pt=700 is basically evaluate it form the bottom to the top and u must mark me as brainly
Use Demoivres Theorem to find (-square root 3 +i)^6
Answer:
[tex]z=(-\sqrt{3}+i)^6[/tex] = -64
Step-by-step explanation:
You have the following complex number:
[tex]z=(-\sqrt{3}+i)^6[/tex] (1)
The Demoivres theorem stables the following:
[tex]z^n=r^n(cos(n\theta)+i sin(n\theta))[/tex] (2)
In this case you have n=6
In order to use the theorem you first find r and θ, as follow:
[tex]r=\sqrt{3+1}=2\\\\\theta=tan^{-1}(\frac{1}{\sqrt{3}})=30\°[/tex]
Next, you replace these values into the equation (2) with n=6:
[tex]z^6=(2)^6[cos(6*30\°)+isin(6*30\°)]\\\\z^6=64[-1+i0]=-64[/tex]
Then, the solution is -64
Answer:
A) -64
Step-by-step explanation:
Edge 2021
A publisher requires 2∕3 of a page of advertisements for every 5 pages in a magazine. If a magazine has 98 pages, to the nearest whole page, how many pages of the magazine are advertisements?
Answer:
[tex]\boxed{13}[/tex] pages
Step-by-step explanation:
Divide the total number of pages by 5 to get how many sets of every 5 pages will contain 2/3 of a page of advertisements.
[tex]\frac{98}{5} = 19.6[/tex]
Multiply this value by [tex]\frac{2}{3}[/tex] to get the total number of pages.
[tex]19.6 * \frac{2}{3} \approxeq 13[/tex] pages
find the slope for (-4,-2)(-3,-6)
Answer:
The slope is -4.
Step-by-step explanation:
The values -2 and -6 are 4 values apart.
The values -4 and -3 are 1 value apart.
Since the second coordinate is lower than the first one, the slope of this is negative.
4 / 1 = 1
Negating 1 gets us -1.
Hope this helped!
Answer:
[tex] \frac{y}{x} = \frac{ - 4}{1} = - 4[/tex]
Step-by-step explanation:
[tex]x = ( - 3) - ( - 4) = 1[/tex]
[tex]y = ( - 6) - ( - 2) = - 4[/tex]
Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet
The volume of a square pyramid is found by multiplying the area of the base by the height divided by 3.
32 = 4^2 x h/3
32 = 16 x h/3
Multiply both sides by 3
96 = 16 x h
Divide both sides by 16
H = 96/16
H = 6
The height is 6 feet
Answer:
6 ft
Step-by-step explanation:
Volume of the pyramid:
V= lwh/3, where l- base length, w- base width, h- heightGiven
V= 32 ft³l=w= 4 fth=?Then, as per formula, we can solve it for h:
32= 4×4×h/3h= 32×3/16h= 6 ftHeight of the pyramid is 6 ft
Find the missing side of a triangle when one side is 3.16 and the other is 3
Answer:
0.992774 ≅ .993
Step-by-step explanation:
a²+b²=c²
a=x
b=3
c=3.16
x²+3²=3.16²
x²+9=9.9856
x²=.9856
x=0.992774
x≅0.993
6th grade math help me, please:D
Answer:
the answer is c...............
can i please get help with this
Step-by-step explanation:
Intersecting secant angles theorem: The angle between two secants is half the difference of the intersected arcs.
52 = ½ (x − 38)
x = 142
Arc angles add up to 360.
360 = 80 + 38 + z + x
z = 100
Tangent-chord theorem: The angle between a tangent and a chord is half the intercepted arc angle.
y = x/2
y = 71
How many even 3 digit positive integers can be written using the numbers 3,4,5,6,and 7?
Answer:
I got 45, but I may be wrong.
Step-by-step explanation:
When a number is even, the number must end in an even number. Here, the even numbers are 4 and 6, so the numbers we are going to create are all going to end in 4 and 6.
To answer this question, we just have to find as many possible combinations following the guidelines provided.
334
344
354
364
374
434
444
454
464
474
534
544
554
564
574
634
644
654
664
674
336
346
356
366
376
436
446
456
466
476
536
546
556
566
576
636
646
656
666
676
736
746
756
766
776
PLEASE HELP----- T.A. =
Answer:
vol = 96
Step-by-step explanation:
Area of a triangle = 1/2 * b * h
b = 4
h = 6
A = 0.5 * 4 * 6
A = 12
length = 8
vol = Area * length
vol = 12 * 8
vol = 96
Answer:
(104 + 16 sqrt 13)
Step-by-step explanation:
i did this on my school, it was correct
use the associative property to rewrite (26+92)+17
Answer:
(26+92)+17 = 26 + ( 92+17)
Step-by-step explanation:
The associative property of addition is
a + (b + c) = (a + b) + c
We want to move the parentheses
(26+92)+17 = 26 + ( 92+17)
jake buys a new car for $18,259. each year x after he buys the car, its value y depreciates by $445. which equation models the relationship between x and y?
A. y=445x + 18,259
B. y= -445x + 18,259
C. y= 445x - 18,259
D. y= -445x - 18,259
Answer:
B
Step-by-step explanation:
It can't be A because of the fact that by multiplying 445 by "x" you'll get a higher, postitive number. Meaning that if adding that positive number, you'll get something higher than 18,259. Which isn't our goal. In addition, the key word is "depreciates" which is another word for subtracting. However, that only applies in some circumstances. It can't be D either since you're basically adding a negative number by another negative number. However, "18,259" has to be a positive in this problem. By that you can also eliminate C as well. Meaning that B would be the correct answer.
Use the appropriate double-angle formulas to rewrite the numerator and denominator of the expression given below. For the denominator, use the double-angle formula that will produce only one term in the denominator when it is simplified.
1+ Cos2x/ Sin2x = 1+ (____)/____
= _____ / _____
The expression from the previous step then simplifies to cot x using what?
a. Even-Odd Identity
b. Quotient Identity
c. Pythagorean Identity
d. Reciprocal Identity
Answer:
x=1
Step-by-step explanation:
1+1+2x+2x= 6
1+1=2
2x+2x=4x
2+4x=6
x=1
Tristan wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3% and the other bank is offering a rate of 2.5%
compounded annually. If Tristan decides to deposit $7,000 for 4 years, which bank would be the better deal?
Answer:
The better deal would be simple interest rate of 3%
Step-by-step explanation:
In order to calculate which bank would be the better deal If Trsitam decides to deposit $7,000 for 4 years, we would have to make the following calculation:
simple interest rate of 3%.
Therefore, I= P*r*t
=$7,000*3%*4
I=$840
FV= $7,000+$840
FV=7,840
compound interest rate of 2.5%
Therefore, FV=PV(1+r)∧n
FV=$7,000(1+0.25)∧4
FV=$17,089
The better deal would be simple interest rate of 3%