Answer: 35
Step-by-step explanation: 52-13-4
An entire 6 inch personal pizza has 620 calorie. Estimate the number of calories in a
16 inch pizza
Answer: 1,652.8 calories
Step-by-step explanation:
620 divided by 6 = 103.3 calories per inch
103.3 times 16 inches = 1,652.8 calories
When rolling 2 number cubes what is the probability of rolling a 6
Answer:
Step-by-step explanation:
To find the probability of rolling a 6 on two number cubes, we need to calculate the number of favorable outcomes (rolling a 6 on either or both of the cubes) divided by the total number of possible outcomes.
Each cube has 6 sides, numbered 1 through 6. So, the total number of possible outcomes when rolling two cubes is 6 x 6 = 36.
The number of favorable outcomes is 2, because there are two ways to roll a 6: either rolling a 6 on the first cube and a 6 on the second cube, or rolling a 6 on one of the cubes.
So, the probability of rolling a 6 is:
favorable outcomes / total outcomes = 2 / 36 = 1/18
Therefore, the probability of rolling a 6 on two number cubes is 1/18 or approximately 5.56%.
Given the function f ( r ) = ( r − 6 ) ( r + 3 ) ( r − 1 ) its f -intercept is its r -intercepts are
The f -intercepts and r -intercepts of the function are (0, 180) and (6, 0), (-6, 0),(5, 0)
What is y-intercept of a function?The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
We are given that;
The function is f ( r ) = ( r − 6 ) ( r + 3 ) ( r − 1 )
Now,
Substituting r=0 for f -intercept
f(0) = (0-6)(0+6)(0-5)
f(0) = 180
The f-intercept is (0, 180);
Solving for the r-intercepts;
Set the function equal to 0.
0 = (r-6)(r+6)(r-5)
(r-6) = 0
r = 6
(r+6) = 0
r = -6
(r-5) = 0
r = 5
Therefore, the r-intercepts will be (6, 0), (-6, 0), and (5, 0)
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You deposit $3000 in a savings account at Yorktown Bank, which has a
rate of 5%. Find the interest at the end of the first year.
Answer:
$150
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
I = 3000(.05)(1)
I = 150
If sin t= 7/9, and t is in quadrant I, find the exact value of sin(2t) , cos(2t) , and tan(2t) algebraically without solving for t .
Step-by-step explanation:
we know :
sin(2t) = 2×sin(t)×cos(t)
cos(2t) = cos²(t) – sin²(t) = 2×cos²(t) – 1 = 1 – 2×sin²(t)
tan(t) = sin(t)/cos(t)
tan(2t) = sin(2t)/cos(2t) = (2×tan(t))/(1 – tan²(t))
sin²(t) + cos²(t) = 1
as t is in quadrant I, 2t must be in either quadrant I or II.
sin(t) = 7/9
sin²(t) = (7/9)² = 49/81
cos²(t) = 1 - sin²(t) = 1 - 49/81 = 81/81 - 49/81 = 32/81
cos(t) = sqrt(32)/9
sin(2t) = 2×sin(t)×cos(t) = 2×7/9 × sqrt(32)/9 =
= 14×sqrt(32)/81 ≈ 0.98
cos(2t) = cos²(t) - sin²(t) = 32/81 - 49/81 = -17/81 ≈
≈ -0.21
tan(2t) = sin(2t)/cos(2t) =
= 14×sqrt(32)/81 / -17/81 =
= 14×sqrt(32)/81 × -81/17 =
= -14×sqrt(32)/17 ≈ -4.66
If n = 200 and (p-hat) = 0.45, construct a 90% confidence interval.
Give your answers to three decimals
__ < p < __
Answer:
0.392 < p < 0.508
Step-by-step explanation:
[tex]\displaystyle CI=\hat{p}\pm z\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\CI_{90\%}=0.45\pm 1.645\sqrt{\frac{0.45(1-0.45)}{200}}\\\\CI_{90\%}\approx0.45\pm0.058\\\\CI_{90\%}=\{0.392,0.508\}[/tex]
Thus, we are 90% confident that the true population proportion [tex]\hat{p}[/tex] is between 0.392 and 0.508, assuming conditions are met.
Twenty rubber spheres were compressed with varying amounts of force. The widths
and heights of the resulting shapes were measured. Here is a scatter plot that shows the
measurements for each sphere.
1. Label the vertical axis of the scatter plot.
Art gass
2. If a compressed rubber sphere has a 6-inch width, is its height closer to 5 inches or to
sla 11 inches? Explain your reasoning.
The vertical axis of the scatter plot is the height; on the other hand, if the sphere is 6 inches, the height is closer to 5 inches than to 11 inches.
What is the vertical axis?In this scatter plot, the horizontal axis is the width; however, we know the second variable is the height and this should be in the vertical axis.
What is the height if the width is six inches?Following the trend of the graph, it can be concluded the height if the width is six inches is approximately 5 rather than 11 inches.
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HELP ASAP TIMED!! hurry
Answer:
The solution is C. (x+8)² + (y-11)² = 4
Step-by-step explanation:
(x - h)² + (y - k)² = r²
h = -8
k = 11
r = 2
(x + 8)² + (y - 11)² = 2²
(x + 8)² + (y - 11)² = 4
The answer is C. (x+8)² + (y-11)² = 4
find the length of AB
Answer:
8.5 cm
Step-by-step explanation:
You want to know the length of AB in rectangle ABCD with perimeter 26 cm if BC = PQ, QR = 10 cm, and the area of rectangle PQRS is 45 cm².
PQThe area of rectangle PQRS is ...
Area = PQ·QR
45 cm² = PQ·(10 cm)
PQ = (45 cm²)/(10 cm) = 4.5 cm
ABThe perimeter of rectangle ABCD is ...
Perimeter = 2(AB +BC)
26 cm = 2(AB +4.5 cm) . . . . . . . . BC = PQ = 4.5 cm
13 cm = AB +4.5 cm . . . . . divide by 2
8.5 cm = AB . . . . . . . . subtract 4.5 cm
The length of AB is 8.5 cm.
<95141404393>
Solve for x, please!! I really need help!!
Answer:
x = 13
Step-by-step explanation:
You want to find x when one half of the diagonal of a parallelogram is 80 and the other half is 6x+2.
DiagonalsThe diagonals of a parallelogram bisect each other, so point Y is the midpoint of each. That means ...
VY = YX
80 = 6x +2 . . . . . substitute the given values
78 = 6x . . . . . . . subtract 2
13 = x . . . . . . . . divide by 6
The value of x is 13.
All numbers less than 17 and greater than or equal to -8. into SET BUILDER NOTATION!!
In set builder notation, the set of all numbers larger than or equal to -8 and less than 17 can be written as:
{x | -8 <= x < 17}
Explanation of set builder notation?
A set of items can be mathematically expressed using the set builder notation. The set builder notation's syntax is {x | }, where x stands for one of the set's elements and the condition outlines the requirements that an element must meet in order to be included in the set.
In this case,
the set comprises of all figures higher than or equal to -8 and less than 17 in total. The set must satisfy the constraint
-8 <= x < 17,where x is a real value. This predicts that x must exceed or equal to -8 and must be less than 17 to be a part of the set.
Thus, in set builder form, the set of all numbers greater than or equal to -8 and less than 17 can be written as follows: {x | -8 <= x < 17}
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Solve the equation for the specified variable.
W = F(r + B), for r
The required equation in terms of r is r = (W - FB) / F
What is an equation?An equation is a mathematical statement given by connecting two expressions by equal sign.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example: 3x=9y, 67x = 90+39y
Given that an equation W = F(r + B) we need to solve the equation for r,
Therefore, rearranging for r,
W = F(r + B)
Using the distributive law,
W = Fr+FB
Transposing FB to the LHS
Fr = W - FB
Diving the equation by F
r = (W - FB) / F
Hence, the equation in terms of r is r = (W - FB) / F
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A company that makes golf balls needs to ship bags of balls that contain 690 balls, plus or minus 6 balls. Write an absolute value inequality that expresses the acceptable number of balls in each bag.
If M = {distinct letters in the word mathematics} and N = {distinct letters in the word nevertheless}, what is |M × N|?
|M × N| =
The value of the expression represented by |M × N| is 64
How to determine the value of |M × N|?from the question, we have the following parameters that can be used in our computation:
M = {distinct letters in the word mathematics} N = {distinct letters in the word nevertheless}Using the above as a guide, we have the following:
M = 8 i.e. {m, a, t, h, e, i, c, s}.
N = 8 i.e. {n, e, v, r, t, h, l, s}.
So, we have
|M × N| = 8 * 8
Evaluate
|M × N| = 64
Hence, the value of |M × N| is 64
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keeps saying ive gotten it wrong yet its an easy question.. help me? (probability)
Answer:
Pole Vault, Discus, 200m, Long Jump
Step-by-step explanation:
Once putting them all as decimals can’t you just sort it our from there? From what I can see, your answers are incorrect, but they might have reset.
How do I find the correct answer to this question?
The direction and slope of line A'B' would still be the same as that of line AB, but the positioning of A'B' would depend on the location of line AB with respect to the origin and the value of g.
What is a scale factor ?
A scale factor is a number that scales or multiplies the size or dimensions of an object or a geometric figure by the same amount in all directions. It can be used to describe changes in size or magnification of an object or figure, and is often expressed as a ratio or a percentage.
When line AB is dilated with a scale factor of 3 and a center of dilation at the origin, the resulting line A'B' will be three times as long as line AB and will pass through the origin.
The direction and slope of line A'B' will be the same as that of line AB, but it will be positioned closer to the origin.
If line AB were dilated with a scale factor of g, then the resulting line A'B' would be g times as long as line AB and would also pass through the origin.
Therefore, The direction and slope of line A'B' would still be the same as that of line AB, but the positioning of A'B' would depend on the location of line AB with respect to the origin and the value of g.
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Caleb observed the costumes that people wore to a costume party. The themes of the costumes and the number of people who wore them are shown in the following table.
Costume Theme Superhero Decades Scary TV & Movie Characters Animals Career
Number of People 128 96 72 52 24 28
A circle graph was drawn from the data in the table. What percentage would be on the Decades slice of the circle graph?
24%
26.7%
86.4%
96%
Answer:
(a) 24%
Step-by-step explanation:
You want the percentage of people in the Decades slice of a circle graph if it represents 96 people. The other slices represent 128, 72, 52, 24, and 28 people.
PercentThe fraction in the second category is the ratio of the number in that category to the total number. The percent is the fraction multiplied by 100%.
96/(128 +96 +72 +52 +24 +28) × 100% = 96/400 × 100% = 24%
The Decades slice of the circle would be 24%, choice A.
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Find the measure of the missing angles.
Answer:
F = 29
E= 151
D = 90
Step-by-step explanation:
For F:
The angle F is on a 180 degree angle with a degree next to it that is 151. To get the value F subtract 180-151 and you get 29.
For E: If F is 29 then the angle opposite of F is also 29. So again to find the measure of angle E, subtract 180 minus 29 and you get 151.
For D: D is also lying on a 180 degree angle. The angle next to it is 90. To get 180 add 90. 90 is the measure of angle d.
Answer:
d = 90°,e = 151°,f = 29°.-----------------------------------
Angle d is linear pair with a right angle, therefore:
d = 180° - 90°d = 90°Angle e is vertically opposite with 151° and therefore they are congruent:
e = 151°Angle f is adjacent with 151° and forming a linear pair, therefore:
f = 180° - 151°f = 29°Tony’s yearly pay is $8,320 rounded it is $8,300. Tony’s monthly car insurance 1/30 of his rounded yearly pay. Can he afford it. Explain why or why not
Tony m,ay or may not afford the car insurance
How to determine if Tony can afford the car insurance or notFrom the question, we have the following parameters that can be used in our computation:
Yearly pay = $8300 (approximated)
Insurance = 1/30 of his rounded yearly pay
Using the above as a guide, we have the following:
Insurance= 1/30 * $8300
Evaluate
Insurance= $276.7
Additional information about Tony's expenses and financial situation are needed to determine if he can afford the monthly car insurance or not.
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Conrad is reading a blue print to make a shed. On the blue print, the length of the shed is 12 inches and the ramp attached to the shed is 1 inch. He wants to convert the total length of the shed and ramp from inches to yards. Select all of the expressions which correctly show how to convert the length of the shed and ramp from inches to yards using the ratio 36 inches to 1 yard.
To convert inches to yards, we need to divide by 36, since 36 inches make 1 yard. Therefore, to convert the length of the shed and ramp from inches to yards, we can use the following expressions: (12 + 1) / 36 = 0.3611... yards, (12 / 36) + (1 / 36) = 0.3611... yards, 13 / 36 = 0.3611... yards
What are expressions?An expression in mathematics is a grouping of variables, numbers, and actions that can be evaluated to yield a value. A wide range of mathematical notions, from basic arithmetic computations to intricate algebraic formulas and beyond, are represented by expressions.
These components can be used to combine expressions in a wide range of different ways. For instance, we can construct straightforward arithmetic phrases such as "2 + 3" or "5 * 4" or more intricate algebraic expressions such as "3x2 + 2x + 1" or "sin(x) + cos(x)". In each instance, the expression denotes a mathematical idea that may be tested to provide a certain value.
Expressions play a significant role in mathematics and are utilized in a wide range of fields in science, engineering, and finance. By being aware of how expressions work, we can better understand and solve a wide variety of mathematical problems.
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12) Identify the trigonometry ratio that would be used to find x.
B
11
37°
A) sine
OB) cosine
OC) tangent
The required trigonometry ratio that would be used to find x is cosine. Option B is correct.
If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
Consider the triangle ACB, in order to determine the measure of x, we can use the cosine operator of the trigonometric ratio.
So,
cosB = BC/AB
cos37 = 11/x
0.8 = 11/x
x = 11 / 0.8
x = 13.75
Thus, the required trigonometry ratio that would be used to find x is cosine. Option B is correct.
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last month maria hiked a total of 90 miles on two trails a 5 mile mountain trail and a 10 mile canal trail let x represent the number of times maria hiked the mountain trail and let y represent the number of times maria hiked the canal trail. which equation can be used to find the number of times maria hiked each trail
Answer:
5x + 10y = 90
Step-by-step explanation:
x represents the mountain trail which she walked 5 miles
y represents the canal trail which she walked 10 miles
two inches is what percent of the length of a ruler
The percent of two inches to the length of a ruler is 16.7 percent.
How to find the percent length?The length of a standard ruler is 12 inches. Therefore, the percent of two inches to the length of a ruler can be calculated as follows:
percent length = 2 / 12 × 100
Hence,
percent length = 200 / 12
percent length = 16.6666666667
percent length = 16. 7 %
Therefore, the percent length of 2 inches to the length of a ruler(12 inches) is 16.7 percent.
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Two different investment companies offer college savings plans, one at 8.4% compounded continuously and the other at 8.6% compounded quarterly. Which is the better investment?
The 8.4% compounded quarterly is the better investment because it gives a good return.
What is compound interest?You can earn interest on interest, which is known as compound interest. Mathematically, if you have $100 and it earns 5% interest annually, you will have $105 at the end of the first year. You will have $110.25 by the conclusion of the second year. Compound interest is calculated by multiplying the initial principle amount by the annual interest rate multiplied by the number of compound periods minus one.Next, the value obtained is reduced by the full initial loan amount. Katherine Kerpel 2019. Investopedia, "Copyright."The word "compound interest" refers to interest that is charged on both a loan and a deposit. It is the concept that we apply most frequently in daily life. Compound interest is calculated as the sum of the interest and principal that have accrued over time. Compound interest and simple interest differ primarily in this way.(i)
S = P
S = P(1.0854) (1.0854)
AP(1) = 1.0846 - 1
AP(1)= 0.08546 or 8.546%
(ii)
r = 0.084/4
AP(2) = (1 + 0.084/4)⁴ -1
AP(2) = 1.08688 - 1
AP(2) = 8.668%
The 8.4% quarterly investment is therefore preferable.
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What is the approximate horizontal distance between Amelia and Brendon? Explain your reasoning
The approximate angle of elevation if Brendan looks up at the tower is 20.03°
What is an elevation?The angle of elevation in math is "the angle formed between the horizontal line and the line of sight when an observer looks upwards is known as an angle of elevation".
We know that, sinθ = opposite/hypotenuse
Here, sinx° = 50/146
sinx° =0.34246575342
x = sin⁻¹(0.34246575342)
x = 20.0271724581
x = 20.03°
Therefore, the approximate angle of elevation if Brendan looks up at the tower is 20.03°
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"Your question is incomplete, probably the complete question/missing part is:"
Amelia and Brendon are both on the ground looking at The top of a tower point D. Amelia is at point A and Brendan is at point B.
What is the approximate angle of elevation in Brendan looks up at the tower explain your reasoning.
what is the slope of this line?
Answer: -1/2
Step-by-step explanation: Down 1 over 2
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1700 seats. The students left 1037 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer: 39%
Step-by-step explanation:
using calculator
1 seat = 0.058%
1700 - 1037 = 663 seats are taken.
0.058% x 663 seats = 39%
SOMEONE PLEASE HELP...............
A plane that passes through three edges of a cube produces a triangular cross section as shown.
In two or more complete sentences, explain how the plane should pass through the cube in order to produce a cross section that is a regular hexagon.
A cross section of a cube that is a regular hexagon can only be obtained if the plane passes through the cube at a 60-degree angle with respect to its edges. If a plane is placed in this manner, it will intersect six of the cube's edges at their midpoints, producing a regular hexagon cross section.
What are True Statements about a Plane that Pass Through a Cube?The plane that passes through three edges of a cube to produce a regular hexagonal cross section must intersect the edges of the cube at 60 degree angles. This can be achieved if the plane is aligned with the diagonal of one of the faces of the cube, passing through the opposite vertices of the face.
This configuration of the plane will result in a regular hexagonal cross section of the cube as each vertex of the hexagon will correspond to one of the vertices of the cube, and each side of the hexagon will intersect two edges of the cube at 60 degree angles.
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NEEDED TODAY THANK YOU
Which of the following is not an exponential function?
A y = 5x
By = 5x - 1
© y=5x-1
Dy = 3.5x
The correct answer would be an option (C) y = 5x - 1 is not an exponential function.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
As per option (A), we have
y = 5ˣ
This is an exponential function.
As per option (B), we have
y = 5ˣ - 1
This is an exponential function.
As per option (C), we have
y = 5x - 1
This is not an exponential function because it is a linear function.
As per option (D), we have
D. y = 3.5ˣ
This is an exponential function.
Thus, the correct answer would be an option (C) y = 5x - 1
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The complete question would be as:
Which of the following is not an exponential function?
A. y = 5ˣ
B. y = 5ˣ - 1
C. y = 5x - 1
D. y = 3.5ˣ
