Answer:
24
Step-by-step explanation:
This is a simple sequence, and they are asking only for the third number in the sequence, so repeated subtraction using is the optimal method for solving for the final answer.
First start with the first term in the sequence, which is 38. The next term is found by subtracting 7.
2nd term = 1st term - 7 (original equation)
2nd term = 38 - 7 (substitute values)
2nd term = 31 (combine like terms by subtracting)
Then repeat this process to find the third term.
3rd term = 2nd term - 7 (original equation)
3rd term = 31 - 7 (substitute values)
3rd term = 24 (combine like terms by subtracting)
Therefore the third term is 24.
La persona A compra 12 barras de granola y 7 tazas de yogurt por $ 15.50. La persona B compra 6 barras de granola y 11 tazas de yogurt por $ 11.50. Encuentra el costo de cada artículo.
La última por favor
Answer:
12,89
Step-by-step explanation:
Answer:
$11.50
Step-by-step explanation:
(English) Granola bars cost $1 each and the yogurt is $.50 per cup. If we plug this in to each equation, you'll see that 12 granola bars equals $12, and 7 cups of yogurt equals $3.50, for a total of $15.50. The second statement would yield $6 + $5.50, which equals $11.50.
(Espanol)Las barras de granola cuestan $1 cada una y el yogur es de $.50 por taza. Si conectamos esto a cada ecuación, verás que 12 barras de granola equivalen a $12, y 7 tazas de yogur equivalen a $3.50, para un total de $15.50. La segunda declaración produciría $6 + $5.50, lo que equivale a $11.50.
Hope this is correct :)
espero que esto sea correcto :)
To play basketball with her friends, Evangeline needs to pump air in her ball, which is completely deflated. Before inflating it, the ball weighs 0.615 kilograms. Afterwards, it weighs 0.624 kilograms. The diameter of the ball is 0.24 meters.Assuming the inflated ball is perfectly spherical, what is the air density within it.
Answer:
1.24 kilograms per cubic meter.
Step-by-step explanation:
The air density is "[tex]1.24\ \frac{kg}{m^3}[/tex]"
Air density:The initial weight of 7 ball [tex]= 0.615 \ kg\\\\[/tex]
weight of 7 inflated balls[tex]= 0.624 \ kg\\\\[/tex]
Calculating the mass (weight) of 7 air:
[tex]\to 0.624-0.615\ kg\\\\ \to 0.009\ kg\\\\[/tex]
Calculating the diameter of 7 balls:
[tex]\to 0.24 \ m\\\\[/tex]
Calculating the Radius of the ball:
[tex]\to \frac{\text{diameter}}{2}\\\\ \to \frac{0.24}{2}\\\\ \to 0.12\ m\\\\[/tex]
Calculating the volume of air in the ball:
[tex]\to \frac{4}{3} \pi r^3\\\\\to \frac{4}{3} \pi (0.12)^3 \\\\ \to 1.333333 \times 3.14 \times 0.001728 \\\\ \to 0.00723456\\\\[/tex]
Calculating the density of air:
[tex]\to \text{Air density}=\frac{\text{Mass}}{\text{volume}}\\\\[/tex]
[tex]=\frac{ 0.009}{0.00723456}\ \frac{kg}{m^3}\\\\ =1.244\ \frac{kg}{m^3} \\\\=1.24\ \frac{kg}{m^3}[/tex]
Therefore, the air density is "[tex]1.24\ \frac{kg}{m^3}[/tex]".
Find out more information about the air density here:
brainly.com/question/6070675
What are the surface area and volume ratios of a cylinder change if the radius and height are multiplied by 5/4 ?
Answer:
The ratio of the surface areas and volume is 8((5y+5x) /25xy)
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes.
Let us assume that the radius =x
Radius r=5x/4
And the height =y
Height h= 5y/4
We know that the total surface area of a cylinder is
A total = 2πrh+2πr²
We can factor out 2πr
A total = 2πr(h+r)
The volume of a cylinder is given as
v= πr²h
The surface area and volume ratios
Can be expressed as
2πr(h+r)/πr²h= 2(h+r)/rh
= (2h+2r)/rh= 2h/rh + 2r/rh
= 2/r + 2/h
= 2(1/r + 1/h)
Substituting our value of x and y
For radius and height we have
= 2(1/5x/4 + 1/5y/4)
=2(4/5x + 4/5y)
=2*4(1/5x + 1/5y)
= 8 (5y+5x/25xy)
Answer:
Ratio of surface area = 25/16
Ratio of volume = 125/64
Step-by-step explanation:
The surface area and volume of a cylinder are given by the formulas:
Surface area = 2*(pi*r^2 + pi*r*h)
Volume = pi*r^2*h
If we increase the radius and height by 5/4, we have that:
New surface area = 2*(pi*(5/4*r)^2 + pi*(5/4)*r*(5/4)*h) = (5/4)^2 * 2*(pi*r^2 + pi*r*h) = (5/4)^2 * Surface area
New volume = pi*(5/4*r)^2*(5/4)*h = (5/4)^3 * pi*r^2*h = (5/4)^3 * Volume
So the ratios are:
ratio of surface area = New surface area / Surface area = (5/4)^2 = 25/16
ratio of volume = New volume / Volume = (5/4)^3 = 125/64
The population of Atlanta is 5,949,951. It is said to be growing at a rate of 1.3% yearly. What will the population be in 10 years? *
Answer:
6770299
Step-by-step explanation:
To work this out you would first divide 1.3 by 100, which gives you 0.013. Then you would add 0.013 to 1, which gives you 1.013. This is because you are finding a percentage increase and so you would convert the percentage to a decimal and add it to 1. Then you would multiply 5949951 by 1.013 to the power of 10. This is because you are finding the percentage increase over a span of 10 years.
1) Divide 1.3 by 100.
[tex]1.3/100=0.013[/tex]
2) Add 0.013 to 1.
[tex]0.013+1=1.013[/tex]
3) Multiply 5949951 by 1.013 to the power of 10.
[tex]5949951*1.013^{10} =6770298.9019004[/tex]
4) Round to the nearest whole number.
6770299
Consider the system of equations. y = 3x + 2 y = − 2 3 x − 4 Explain why these particular equations can be graphed immediately.
Answer:
These equations are in slope-intercept form. I can use the y-intercept and slope to graph both lines. I plot the y-intercept and use rise over run to locate another point on the line. Then, I can draw a line through the two points.
Step-by-step explanation:
Round to 2 SF
644.8
pleeeeeeeeaaaaaaaaaaasssssssssseeeeeeeeee
Answer:
640
Step-by-step explanation:
the 2nd 4 rounds up making it 640 instead of 650
Makayla charges 20 cents per square inch for her frame. How much will she charge for a frame that measures 18 inches on each side and has a width of 3 inches ?
Answer:
The answer is $10.8 (1,080 cents)
Step-by-step explanation:
First of all, let us calculate the area of the frame:
Area = Length × width = 18 × 3 = 54 in²
We are told that she charges 20 cents per square inch, therefore:
1 in² = 20 cents
∴ 54 in² = 20 × 54 = 1,080 cents.
We know that 100 cents = $1
∴ 1,080 cents = 1/100 × 1,080 = $10.8
Does a rectangle have four congruent sides?
Answer:
NO.
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. So, in other words, 2 shapes or figures in geometry are congruent if they have the exact same size and shape.
A rectangle has 2 pairs of parallel sides. One pair is longer than the other pair. Therefore, to be congruent, all sides have to be equal, which is a square, not a rectangle. So the answer is NO.
No a rectangle does not have four congruent sides instead it has two pairs of congruent sides.
A rectangle has two pairs of congruent sides that are opposite each other. Therefore, a rectangle does not have four congruent sides, but rather two pairs of congruent sides.
Which is the equation of a line that has a slope of 5 and passes through point (2, -3)?
To all
o y = -x-4
o y = 1/2 X-2
To y = 1/8 x + 3
Answer:
y = 5x - 13
Step-by-step explanation:
Use the formula y = mx + b to solve for b. Then plug in known values.
Answer:
y=5x-13
Step-by-step explanation:
What is 6 times 0 ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Answer:
6 x 0 = 0
Step-by-step explanation:
Tell if the measures 10, 12, and 16 can be the side lengths of a triangle. If so, classify the triangle as acute, obtuse, or right.
Answer:
Yes, acute
Step-by-step explanation:
Because 10 and 12 add up to more than 16, it is possible to construct an acute triangle with these side lengths. Since 10^2 + 12^2 ≠ 16^2, we know that any triangle so constructed will not be a right triangle.
The measures 10, 12, and 16 can be the side lengths of a triangle because the sum of the two shorter sides must be greater than the longest side for a triangle to exist.
In this case, 10 + 12 is greater than 16, 16 + 10 is greater than 12, and 12 + 16 is greater than 10, satisfying the triangle inequality theorem. Therefore, a triangle can be formed.
Classifying the triangle: Using the Pythagorean theorem, we can determine that the triangle with side lengths 10, 12, and 16 is a scalene triangle, and since 10^2 + 12^2 is less than 16^2, it is an obtuse triangle.
Students in a club are selling flowerpots to raise money each flowerpot sells for $15. Write an expression that represents the total amount of money in dollars, the students raise from selling x flowerpots.
Answer:
The expression that represents the total amount of money raised from selling [tex]\(x\)[/tex] flowerpots is [tex]\(15x\)[/tex].
Explanation:
The total amount of money raised from selling [tex]\(x\)[/tex] flowerpots can be represented by the expression:
[tex]\[ \text{Total amount of money} = \text{Price per flowerpot} \times \text{Number of flowerpots sold} \][/tex]
Given that each flowerpot sells for $15, and [tex]\(x\)[/tex] represents the number of flowerpots sold, the expression would be
[tex]\[ \text{Total amount of money} = 15x \][/tex]
So, the expression that represents the total amount of money raised from selling [tex]\(x\)[/tex] flowerpots is [tex]\(15x\)[/tex].
How high is the toy after 1 second , what is the toy’e maximum height ? , how long is the toy in the air ?
Answer:
i.)12 feet
Step-by-step explanation:
ut+1/2gt^2
7×1+1/2×10×1^2 =12
The solution to an inequality is represented by the number line.
*number line below*
How can this same solution be written using set-builder notation?
{x | x > _____}
Answer:
3 maybe
Step-by-step explanation:
Solution shown in the picture is (x | x > 3).
Inequalities on a number line: x > 0 is represented by the arrow starting from 0 with a hollow point moving towards the numbers greater than 0. x < 0 is represented by the arrow starting from 0 with a solid point moving towards the numbers less than 0. Equal to sign (=) represents a solid point on a number line.
Inequality given in the picture shows,
An arrow starting from 3 with a hollow point moving towards the numbers greater than 3.Therefore, inequality shown in the picture will be x > 3.
Learn more about the inequalities on a number line here,
https://brainly.com/question/18686199?referrer=searchResults
PROBLEM 2
Evaluate the expression 9 – z when z = 8.
Answer:
9-8=1
Step-by-step explanation:
Substitute 8 for z and gives you 9-8 which equals 1
You know:
z = 8 so substitute/plug it into the expression
9 - z Plug in 8 into "z" since z = 8
9 - 8
1
find the area of a regular octagon with a perimeter of 96 centimeters
Answer:
A≈695.29cm²
Step-by-step explanation:
The area of a regular octagon with a perimeter of 96 cm is calculated by first finding the length of one side, then calculating the area of one of the eight isosceles triangles formed within the octagon, and finally multiplying this area by eight to get the total area, which is 384 cm².
To calculate the area of a regular octagon with a given perimeter, we first need to determine the length of one side. Since a regular octagon has equal sides, we can divide the perimeter by 8. In this case, the perimeter is 96 centimeters, so each side of the octagon is 96 cm / 8 = 12 cm.
We know that a regular octagon can be divided into eight identical isosceles triangles. The area of an isosceles triangle can be found by the formula A = (1/2)bh, where b is the base and h is the height.
To find the height of each triangle, we can draw an altitude from the center of the octagon to the base of one of the triangles, which creates two 90-degree triangles.
By using the Pythagorean theorem on one of these right-angled triangles, with the base of each being half the length of an octagon's side (6 cm), and the Pythagorean triple 6-8-10, we can determine the height to be 8 cm. Thus, the area of each triangle is (1/2) * 12 cm * 8 cm = 48 cm².
Finally, since there are eight triangles, the total area of the octagon is 8 * 48 cm² = 384 cm².
What is the constant of proportionality of 3y = 27x
Answer:
9
Step-by-step explanation:
3y = 27x
We want to find k when y = kx
Divide each side by 3
3y/3 = 27x/3
y = 9x
The constant of proportionality is 9
Many goes bowling, he has 25.00 to spends, he spends 4.25 for rent shoes and spends 2.50 for each game he bowls. Wich inequality can manny use to determine x the greatest number of games he can bowl?
Answer:
Answer: B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represent the greatest number of games he can bowl.
Many goes bowling, he spends 4.25 for rent shoes and spends 2.50 for each game he bowls. It means that the amount that he would spend in bowling x games is
4.25 + 2.5x
If he has 25.00 to spend, then the inequality that Manny can use to determine the greatest number of games he can bowl is
4.25 + 2.5x ≤ 25
Solve the system using substitution.
y = 4x − 5
y = 2x + 1
A. (−2, −3)
B. (1, 3)
C. (−2, −13)
D. (3, 7)
Answer:its D (3,7)
Step-by-step explanation:
PLEASE HELP
Why were some economists unsure of how to fight stagflation?
It only needs to be about a sentence.
Answer:
Stagflation is the combination of stagnation and inflation. Its simply mean continues increase in inflation while consumer demand for product is stagnant and there is relatively high unemployment
Reason;
Some economist hold that inflation is caused when demand for goods are high and demand for a product can not be controlled where there is no price regulation.
Answer: The reason was because Economists at that time believed that inflation only occurred when the demand for goods was high.
Step-by-step explanation:
Stagflation occurred in the 1970's in the United States under the rule of President Gerald R. Ford. Stagflation is a term used to describe a situation of both stagnation and inflation in the economy. The period was a tough time in the history of America. It occurred just after the tenure of President Johnson who contributed to the crisis through his policy of pumping money into the economy to increase spending without increasing taxes. The resultant effect of this was inflation.
America was also dependent on oil at that time, even though the price of oil was rapidly increasing. The period saw them importing more goods than exporting. Also, jobs were lost. Economists tried to solve the issue but it was difficult because they believed that inflation could only occur when the demand for goods was high.
What is the efficiency of a machine that produces 4500 joules of output work for every 4250 joules of input work? (remember to put it in correct units and round to the hundredths place)
Answer:
105.88%
Step-by-step explanation:
Efficiency:
Output/input × 100
4500/4250 × 100
105.8823529%
The scores of individual students on the American College Testing (ACT) Program composite college entrance examination have a normal distribution with mean 18.6 and standard deviation 6.0. At Northside High, 36 seniors take the test. If the scores at this school have the same distribution as national scores.
(a) What is the mean of the sampling distribution of the sample mean score for a random sample of 36 students?(b) What is the standard deviation of the sampling distribution of the sample mean score for a random sample of 36 students?(c) What is the sampling distribution of the sample mean score for a random sample of 36 students?
Answer:
a. mean=18.6
b. standard deviation=1.0
c. The distribution is a symmetry and mound-shaped but nowhere near normal.
Step-by-step explanation:
a. let [tex]\mu_x[/tex] be the sample mean.
-For a normal distributed sample, the population mean is equal to the sample mean:
[tex]\mu_x=\mu\\\\=18.6[/tex]
Hence, the sample mean is 18.6
b. Let s denote the sample standard deviation.
-For a normally distributed population, the sample standard deviation is calculated using the formula;
[tex]s=\frac{\sigma}{\sqrt{n}}\\\\=\frac{6}{\sqrt{36}}\\\\=1.0[/tex]
Hence, the sample standard deviation is 1.0
c. The sample has a mean of 18.6 and a standard deviation of 1.0
-Since it's derived from a normally distribted population, it will be symmetrical and have an almost normal shape.
-Hence, it is a symmetry and mound-shaped, but Not Normal.
The mean of the sampling distribution is 18.6. The standard deviation of the sampling distribution is 1.0. The sampling distribution of the sample mean score for a random sample of 36 students is normally distributed with a mean of 18.6 and standard deviation of 1.0, according to the central limit theorem.
Explanation:The mean and standard deviation of the population, which are given as 18.6 and 6.0 respectively, are used to calculate the mean and standard deviation of the sampling distribution.
(a) According to the central limit theorem, the mean of the sampling distribution of the sample mean score for a random sample of 36 students (µx-bar) is equal to the mean of the population (µ), so µx-bar = µ = 18.6.
(b) The standard deviation of the sampling distribution of the sample mean score for a random sample of 36 students (σx-bar) is the standard deviation of the population (σ) divided by the square root of the sample size (n), so σx-bar = σ/√n = 6.0/√36 = 1.0.
(c) The sampling distribution of the sample mean score for a random sample of 36 students is a normal distribution with mean µx-bar = 18.6 and standard deviation σx-bar = 1.0, according to the central limit theorem, since the sample size is sufficiently large (n > 30).
Learn more about Sampling Distribution here:https://brainly.com/question/39609355
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PLEASE HELP, ASAP! PLEASE AND THANK YOU!
Answer:
The answer to your question is 6.- B 7.- D
Step-by-step explanation:
Data
Parallelogram ACFG
6.-
m∠GAC = 112°
m∠ACF = ?
Process
These angles are supplementary, they measure the same.
∠GAC + ∠ACF = 180
-Substitution
112 + ∠ACF = 180°
-Solve for ∠ACF
∠ACF = 180° - 112°
-Result
∠ACF = 68°
7.-
m∠AGF = 2a + 10
m∠ACF = a + 20
The angles ∠GAC and ACF are equal, they measure the same.
∠GAC = ∠ACF
-Substitution
a + 20 = 2a + 10
-Solve for a
a - 2a = 10 - 20
-Result
-a = -10
a = 10
-Find ∠AGF
∠AGF = 2(10) + 10
20 + 10
= 30°
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
A.
-3x + 4y = 3
B.
-1.5x − 3.5y = -31.5
C.
2x + y = 20
D.
-2.25x + y = -9.75
List the sides of the triangle in order from shortest to longest.
Answer:
Angle M = 120 degrees
Shortest side = MN
Middle Side = MO
Longest side = ON
Step-by-step explanation:
Answer:
MN < NO < OM
Step-by-step explanation:
∡ M = 180 -45-75=60°
45° opposite side - MN - shortest side
75° opposite side - OM - longest side
60° opposite side - NO
MN < NO < OM
Can anyone help??????
Answer:
C) 109.5
Step-by-step explanation:
Use cosine of 64°
cos 64° = 48/x
Put x on one side
x = 48/ cos 64°
x = 109.4962576
Answer:
The answer is C or 109.5 units
Step-by-step explanation:
We have to use the trig function cosine to find the answer.
cosine = [tex]\frac{adjacent}{hypotenuse}[/tex]
cosine of 64 = 0.438371147
the equation is: cos 64 = [tex]\frac{48}{hypotenuse}[/tex]
So using this equation,
we must divide 48 by the cosine of 64 to get the hypotenuse
this equals 109.5
The hypotenuse is our length that we need to find so the question is solved.
Hope This helps
Branliest is appreciated!
What is the amplitude of the graph of the equation y=3cos2x?
A jar lid has a diameter of 32
millimeters. What is the
circumference of the lid to the
nearest tenth?
Answer:
32pi cm or 100.530964915 mm
Step-by-step explanation:
To find this answer you will need to use the equation 2*pi*r or pi*d.
Your value 32 can be plugged in as your value of d which can then be substituted to make 32 pi or if you use a calculator you get 100.530964915.
hope this helps!
Answer: 100.5 mm
Step-by-step explanation: The formula to find the circumference of a circle is 2(pi)r
Since we know the diameter is 32, divide 32 by 2 to get the radius: 16
2(pi)(16) = 100.5309
To the nearest tenth, that would be 100.5
Elijah wants to know the cross-sectional area of the circular pipe. He measures the diameter which he finds, to the nearest millimeter, to be 5 centimeters. To find the area of the circle, Elijah using the formula A=πr^2, where A is it the area of the circle and r is the radius. he uses 3.14 for π. what value does Elijah get for the area of circle? type is that number. (Hint:3 decimal points!)
Answer:
The area is 0.002m² to 3 dp
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes(I.e cross sectional area of pipe ) , this time the a circle.
It requires us to look for the area of the shape
Given data
Diameter d = 5cm
Converting to mm = 5/100= 0.05m
Radius of circle r=d/2=0.05/2 =0.025mm
Given the area of the circle
A=πr²
A=3.14*0.025²
A=0.0019m²
To 3 dp we have area as 0.002m²
Subtract 6 from me. Then multiply by 2. If you subtract 40 and then divide by 4, you get 8. What number am I?
Answer:
42
Step-by-step explanation:
Let the number be "x"
We translate the word equation to algebraic equation.
First,
subtract 6 from me, so we have:
x - 6
Now,
Multiply by 2, so we have:
2(x-6)
Now,
Subtract 40, then divide by 4:
[tex]\frac{2(x-6)-40}{4}[/tex]
Now, you get "8", so equate this to 8, we get:
[tex]\frac{2(x-6)-40}{4}=8[/tex]
We now solve using algebra:
[tex]\frac{2(x-6)-40}{4}=8\\2(x-6)-40=4*8\\2(x-6)-40=32\\2x-12-40=32\\2x-52=32\\2x=32+52\\2x=84\\x=42[/tex]
The number is 42