Answer:
\(y = \frac14 x - 4\)
Step-by-step explanation:
The slope is 1/4 since y increases 1 when x increases by 4 (you divide deltaY by deltaX).
Then, to make it go through (0,-4) you subtract -4.
Howard bought 3/5 pound of granola. He divided the
granola evenly among 4 friends. How much granola did
each friend get?
Answer:
Step-by-step explanation:
So because Howard wants to divide the granola evenly among all of his friends, we have to divide the amount of pounds he has by the number of friends he has.
(3/5) / 4
Dividing by four is the same as multiplying by the reciprocal of 4 which is 1/4.
So (3/5) * (1/4) is 3/20 which is .15 pounds
What is the prime factorzation of 54
Answer:
2*3*3*3
Step-by-step explanation:
Answer:
54 = 2×3^3
Step-by-step explanation:
Factor the following integer:
54
Hint: | Is 54 divisible by 2?
The last digit of 54 is 4, which means it is even. Therefore 54 is divisible by 2:
54 = 2 27:
54 = 2×27
Hint: | Now try to factor 27. Is 27 divisible by 2?
27 is not divisible by 2 since 27 is odd and 2 is even:
54 = 2×27 (27 is not divisible by 2)
Hint: | Is 27 divisible by 3?
The sum of the digits of 27 is 2 + 7 = 9, which is divisible by 3. This means 27 is divisible by 3:
27 = 3 9:
54 = 2×3×9 (9 is not divisible by 2 since 27 is not)
Hint: | Now try to factor 9. Is 9 divisible by 3?
9 = 3 3, which means 9 is divisible by 3:
9 = 3 3:
54 = 2×3×3×3 (3 is not divisible by 2 since 9 is not)
Hint: | Now try to factor 3. Is 3 prime?
No primes less than 3 divide into it. Therefore 3 is prime:
54 = 2×3×3×3
Hint: | Express 54 as a product of prime powers.
There is 1 copy of 2 and 3 copies of 3 in the product:
Answer: 54 = 2×3^3
A person who is 6.1 feet tall is standing in a pool. The top of the person's head is 1.8 feet above the surface of the water. How deep is the pool? Write your answer as a decimal.
A recipe uses 3/4 teaspoon of baking soda and 3 teaspoons of salt write the ratio of baking soda to salt then find the value of the ratio
Answer:
Step-by-step explanation:
To write the ratio of baking soda to salt, we need to compare the amount of baking soda to the amount of salt in the recipe.
The recipe uses 3/4 teaspoon of baking soda and 3 teaspoons of salt, so the ratio of baking soda to salt is:
3/4 : 3
To simplify this ratio, we can divide both numbers by the greatest common factor (GCF) of 3 and 4, which is 1.
3/4 divided by 1 = 3/4
3 divided by 1 = 3
So the simplified ratio of baking soda to salt is:
3/4 : 3 = 3: 12
To find the value of the ratio, we can divide both the numerator and denominator by 3:
3/3 : 12/3 = 1: 4
Therefore, the value of the ratio of baking soda to salt is 1:4.
1.5c - 6 = 7.5 i need help with this problem and i have no one to help me
Answer:
c=9
Step-by-step explanation:
Let's solve your equation step by step:
add 6 on both sidesdivide 1.5 from the product of 6 and 7.5 (aka 13.5)you will get Cput 9 in for C.\(1.5c-6=7.5\)1. \(1.5c-6+6=7.5+6\)
1.5 \(1.5c=13.5\)
2.\(\frac{1.5c}{1.5c}=\frac{13.5}{1.5c}\)
3. C=9
1.5(9)-6=7.5
13.5-6=7.5
What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.
Answer:
376.52 is the volume of the composite figure.
Step-by-step explanation:
Let's break this into two shapes.
A rectangular prism and a hemisphere
Volume Formula for rectangular prism: l • h • w
Volume Formula for hemisphere: (2/3)πr^3
l • h • w
10 • 4 • 8
40 • 8
320
Rectangular Prism: 320
(2/3)πr^3
2/3(3)^3
2/3(3.14)(27)
2.09333333333(27)
56.52
Hemisphere: 56.52
320 + 56.52 = 376.52
The volume of the composite figure is 376.52 \(cm^{3}\).
What is volume of hemisphere?The total space occupied by a hemisphere in a 3-dimensional region is called its volume. Geometrically a hemisphere is an exact half of a sphere.
Volume of hemisphere = \(\frac{2}{3} \pi r^{3}\)
What is volume of cuboid?The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.
Volume of cuboid = Length × Width × Height
Given
Radius of hemisphere r = 3
Volume of hemisphere = \(\frac{2}{3} \pi r^{3}\)
Volume of hemisphere V1= \(\frac{2}{3} \pi r^{3}\)
= \(\frac{2}{3} .(3.14).(3)^{3}\)
= 56.52 \(cm^{3}\)
Volume of cuboid V2 = Length × Width × Height
= 10 × 8 × 4
= 320 \(cm^{3}\)
The volume of the composite figure V = V1 + V2
V = 56.52 + 320
V = 376.52 \(cm^{3}\)
Hence, the volume of the composite figure is 376.52 \(cm^{3}\).
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Please help I’m confused. Thanks ;)
Answer: a. AB = 15cm long. b. AB = 11.1cm long. c. AB = 3/5cm long.
d. AB = 3 cm long.
Step-by-step explanation:
a 16 pound bag of kitty kibbles is . an -pound bag of feline flavor is . which statement about the unit prices is true?
If a 16 pound bag of Kitty Kibbles is $20.80 and 8-pound bag of Feline Flavor is $11.20 then the true statement about the unit price is (D) Kitty Kibbles has a lower unit price of $1.30/pound .
the cost of the 16 pound bag of Kitty Kibbles is = $20.80 ;
So , the cost of 1 pound bag of Kitty Kibbles is = $20.80/16
= $1.3 ;
the cost of 8 pound bag of Feline Flavor is = $11.20 ;
So , cost of 1 pound bag of Feline Flavor is = 11.20/8 ;
= $1.4 ;
on comparing both the unit prices , we get that the per unit cost of Kitty Kibbles is lower and the price is $1.3 ;
Therefore , the true statement is (D) Kitty Kibbles has a lower unit price of $1.30/pound .
The given question is incomplete , the complete question is
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true ?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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what is the value of the t score for a 99.8% confidence interval if we take a sample of size 15?
The value of the Confidence interval will be 3.787
The number of standard deviations from the t-mean distribution is equal to a t-score. The test statistic used in t-tests and regression testing is the t-score. When the data follow a t-distribution, it may also be used to represent how distant an observation is from the mean.
The t-score formula is written as follows:t=¯¯¯x−μS√n t = x ¯ − μ S n , where ¯¯¯x, is the sample mean, is the population mean, S n is the sample size, and x is the standard deviation of the sample. Square root n must be included in the formula.
using tables of t distribution we have
t-score for 99.8%
Confidence Interval (alpha) =1-0.998=0.002
Sample size (n)=15
df=n-1=14
t-score for a 99.8% Confidence Interval will be
t(0.002,14)=3.787
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Freddy is buying wings and nachos for a party. A box of 10 wings cost $10.00. Nachos cost $4.00 per tray. He must spend less that $40.00 on the wings and nachos.
Using x to represent each box of wings and y to represent each tray of nachos, create an inequality that correctly represents the possible number of boxes of wings and trays of nachos Freddy can be and still be within his budget.
Answer:
10x + 4y < 40
Step-by-step explanation:
The creation of an inequality is as follows"
The cost of the 10 wings box = $10
The cost of nachos = $4 per tray
And, the amount that can be incurred less is $40
Based on the information,
The equation would be
10x + 4y < 40
Hence, the inequality equation is 10x + 4y<40
Help pls I will give Brianlist
Answer:
A
Step-by-step explanation:
Hope this helps :)
Answer:
A
Step-by-step explanation:
2x plus 5 equal to 20, what is x?
Answer:
2x+5=20
2x=20-5
2x=15
x=15/2
x=7.5
2x+5=20
2x=20-5
X= 15/2
Maria needs to be at the airport terminal at 12:10. it will take 2 and 1/2 hours to drive to the airport from her home, and a further 20 minutes to park and get to terminal. give your answer as a time in the 24 hour clock
Answer:
Maria needs to start at 9:20 in order to make it to the terminal.
Step-by-step explanation:
2:30 + 0:20 = 2:50. 12:10 - 2:50 = 9:20.
Erica had $20 she spent on three gifts she spent 9 3/4 dollars on gift a and 4 1/2 dollars and gift b how much money did she have left for gift c
Answer:
$5.75
Step-by-step explanation:
20=9.75 + 4.5 + c
20-9.75-4.5=c
5.75=c
What is a scientific hypothesis? Explain the difference between a guess and a hypothesis. Why do scientists need a hypothesis?
Are there any scientific hypotheses that can’t be tested? If yes, what are potential questions that cannot be answered by science?
A scientific hypothesis is a proposed explanation or prediction based on limited evidence or prior knowledge, which is subject to further investigation and testing.
A guess is a speculative, unsupported statement without any logical basis, whereas a hypothesis is an educated assumption derived from existing knowledge, observations, or theories. Unlike a guess, a hypothesis is testable and can be supported or refuted by evidence gathered through scientific methods.
Scientists need a hypothesis to provide a framework for their research and guide their investigations. It helps them define the specific question they want to answer and provides a starting point for designing experiments or making observations. By formulating a hypothesis, scientists can systematically evaluate and analyze data, ultimately leading to a deeper understanding of the phenomenon under investigation.
There are indeed scientific hypotheses that cannot be directly tested or proven due to practical or ethical constraints. For example, hypotheses related to historical events that occurred in the distant past may not have accessible evidence for direct testing. Additionally, some questions related to consciousness, subjective experiences, or philosophical concepts may lie beyond the scope of scientific inquiry, as they may not be objectively measurable or observable.
While science has its limitations, it is a powerful tool for investigating and understanding the natural world. However, there are questions that fall outside the realm of scientific inquiry and require other methods of investigation, such as philosophical or ethical considerations.
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t-models, part II Using the t tables, software, or a calculator, estimate
a) the critical value of t for a 95% confidence interval with df = 7.
b) the critical value of t for a 99% confidence interval with df = 102.
The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62
In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.
a)
On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.
b)
The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.
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at a back to school sale backpacks are marked down at 15% off the original price was $34 then what was the sale price
Answer:
The answer is 4.57
Step-by-step explanation:
Draw an area model that demonstrates that the quotient of 2080 and 40 is 52 explain how the model relates to the calculation
We can see in the picture an area model that demonstrates that the quotient of 2080 and 40 is 52.
Given that,
52 is the quotient of 2080 and 40.
The expression can be represented by
2080/40=52
We divide 2080 as 1200+800+80
(1200+800+80)/40=1200/40+800/40+80/40
(1200+800+80)/40=30+20+2
(1200+800+80)/40=52
An area model is a rectangular diagram or model used in mathematics for problems involving multiplication and division, where the length and breadth of the rectangle are determined by the factors, quotient, and divisor. Using number bonds, we may divide the rectangle's enormous area into a number of smaller boxes to simplify the calculation. The product or quotient is then obtained by adding to obtain the area of the entire.
We can see in the picture an area model that demonstrates that the quotient of 2080 and 40 is 52.
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a vector field vector f has the property that the flux of vector f out of a small cube of side 0.01 centered around the point (2, 7, 9) is 0.003. estimate divvector f at the point (2, 7, 9).
To estimate the divergence of the vector field vector f at the point (2, 7, 9), we can use the Divergence Theorem. The theorem states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence of the vector field over the enclosed volume.
In this case, we are given the flux of vector f out of a small cube of side 0.01 centered around the point (2, 7, 9) as 0.003. This means that the flux through the cube's six faces is 0.003. Since the cube is small, we can approximate it as a point source, and the flux through the cube is proportional to the divergence of the vector field at that point.
Therefore, we can estimate the divergence of vector f at (2, 7, 9) as 0.003 divided by the volume of the cube. The volume of the cube is (0.01)^3 = 0.000001, so the estimated divergence is 3. This means that the vector field is spreading out from the point (2, 7, 9) with a magnitude of 3 units per unit volume.
Note that this is only an estimate since the cube is small, and the divergence may vary significantly over larger volumes. However, this calculation gives us a rough idea of the divergence at the point of interest.
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Two angles form complements. One angle measure is eight more than twice the other. Find both angles measures.
Answer:
41° and 49°
Step-by-step explanation:
Two angles are said to be complements if the sum of their measures is 90 degrees. Since one angle is eight more than twice the other, we can set up the following equation to represent the situation:
2x + 8 = 90
Solving for x, we get:
2x = 82
x = 41
Since the two angles are complements, their measures must add up to 90 degrees. Therefore, the measure of the other angle is 90 - 41 = 49 degrees.
Therefore, the two angles have measures of 41 and 49 degrees.
Which graph represents the solution of x2 + 9y2 <81 and y2 + 2
Answer:
C on edge
Step-by-step explanation:
the guy above is correct
The graph that represents the given inequalities is required.
The required graph is attached.
The inequalities are
\(x^2+9y^2<81\)
\(y^2+2<x\)
Converting to general forms
Ellipse
\(\dfrac{x^2}{9^2}+\dfrac{9y^2}{9^2}<1\\\Rightarrow \dfrac{x^2}{9^2}+\dfrac{y^2}{3^2}<1\)
So,
\(a=\pm9\)
\(b=\pm3\)
The vertices of the major axes are \((9,0)\) and \((-9,0)\)
The vertices of minor axes are \((0,3)\) and \((0,-3)\)
The center lies on the origin.
Since, the sign of the inequality is \(<\) the shaded region will be inside the ellipse excluding the ellipse.
Parabola
\(x>1(y-0)^2+2\)
So,
Vertex of parabola = \((2,0)\)
Since, the square term is \(y^2\) the axis of symmetry is the \(x\) axis.
The parabola will open towards the positive x axis.
The shaded region is the area in the parabola excluding the parabola due to the \(>\) sign.
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This shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches. You can use 3. 14 as an approximation for π
If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.
To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).
The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:
C = πr = π(10) = 31.4 inches.
The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:
P = 3s = 3(20) = 60 inches
Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:
Perimeter = C + P = 31.4 + 60 = 91.4 inches.
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Complete Question
This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.
You can use 3.14 as an approximation for π. help i don't know it.
Study the diagram of circle C.
A circumscribed angle, ∠PQR,
is tangent to ⨀C
at points P
and R,
and ∠PCR
is a central angle. Point Y
lies on the major arc formed by points P
and R.
Circle C as described in the text.
© 2016 StrongMind. Created using GeoGebra.
If m∠PQR=(12x−2)∘,
and mPR⌢=(20x−10)∘,
what is m∠PQR?
Responses
16∘
16 degrees
137.5∘
137.5 degrees
81∘
81 degrees
70∘
The measure of ∠PQR is approximately 101°.
To find the measure of angle ∠PQR, we can set up an equation using the information given.
From the problem, we know that m∠PQR = (12x - 2)° and mPR⌢ = (20x - 10)°.
Since ∠PQR is an inscribed angle and PR is a tangent, we can apply the inscribed angle.
According to the measure of an inscribed angle is half the measure of its intercepted arc.
The intercepted arc in this case is the major arc formed by points P and R.
Since Y lies on this arc, we can say that the intercepted arc measures 360° - mPR⌢.
We have the equation:
m∠PQR = 0.5 × (360° - mPR⌢)
Plugging in the given values, we get:
(12x - 2)° = 0.5 × (360° - (20x - 10)°)
Simplifying the equation:
12x - 2 = 0.5 × (360 - 20x + 10)
12x - 2 = 0.5 × (370 - 20x)
12x - 2 = 185 - 10x
22x = 187
x ≈ 8.5
Now we can find the measure of ∠PQR by substituting the value of x back into the expression:
m∠PQR = (12x - 2)°
= (12 × 8.5 - 2)°
≈ 101°
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when computing the correlation​ coefficient, what is the effect of changing the order of the variables on​ r?
The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. The value of r ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.
The correlation coefficient's sign will not change when the order of the variables in a correlation study is changed, but the coefficient's numerical value might. This is due to the symmetry of the correlation coefficient with regard to the two variables under comparison.
For instance, if you calculate the correlation coefficient between X and Y and the result is r = 0.7, it indicates that Y tends to rise as X does. The correlation coefficient between the variables Y and X will have the same sign (+ or -) but a different numerical value if the variables are computed in a different order.
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the sales tax is $1002.80 on an automobile purchase of $21800. what is the sales tax rate?
Answer:
21.7391%
Step-by-step explanation:
21800/1002.80
recursively define the set of binary strings with more 0s than 1s.
0>1,If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y.
What do binary strings mean?A series of bytes make up a binary string. A binary string is used to store non-traditional data, including images, as opposed to a character string, which typically holds text data. The quantity of bytes in a binary string determines its length. The CCSID for a binary string is 65535.Binary refers to this system of 1s and 0s. Because of the way they are made, computers only speak in binary. A computer is nothing more than a sizable number of switches. On those curiously engraved boards inside the computer, there are millions of microscopic electronic switches.If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y. A procedure P is defined recursively if its action, P(x), is defined in terms of another action, P(y), where x>y.Explanation:
0>1.
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help please, do working outs too i don’t understand it
1.) The line with the greatest slope.
The greater the slope of the line, the more upright it is. Observing the given graph, the line with the greatest slope is line a.
2.) Lines that are parallel.
Two lines are parallel if they do not have an intersection with each other at any point in the graph. We can see that line b and line d, do not intersect at any point in the graph and are thus parallel lines.
3.) Line with a negative slope
A line with a negative slope is a line that goes downwards from left to right, in the graph we can see that line e and line f goes downwards from left to right.
4.) Line that is perpendicular to the y-axis.
A line that is perpendicular to the y-axis, is a line that is parallel to the x-axis. Looking at the graph, line c is perpendicular to the y-axis.
Share £90 in the ratio 1:5
Answer:
the answer is
Step-by-step explanation:
if we take a and b as two pupil to share the money,then a gets
$15 and b gets $75
sum of the ratio is=6
a =1/6×$90
=$15
b=5/6×$90
=$75
What fraction does the number line show?
1/6 I think...
because there are 6 lines after the 0, and the point is on the first line.
_____ is the process of drawing conclusions about unknown characteristics of a population from which data were taken.
Answer:
Statistical inference
Step-by-step explanation: