Answer:
16x^5
Step-by-step explanation:
use photomath it will help u with math problems if u need it.
The table shows the times of the top six swimmers in the women’s 100 meter butterfly at the 2012 Olympic Games. A 2-column table with 6 rows. Column 1 is labeled Place with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Time (seconds) with entries 55.98, 56.87, 56.94, 57.17, 57.27, 57.35. Between which two places is the difference in finishing times the shortest? What is the difference in those times?
Answer:
The difference in finishing time between the 2nd and 3rd places is the shortest and it is 0.07 seconds.
Step-by-step explanation:
The first positioned swimmer took 55.98 seconds and the second positioned swimmer took 56.87 seconds to complete the race.
So, the difference is (56.87 - 55.98) = 0.89 seconds.
The second positioned swimmer took 56.87 seconds and the third positioned swimmer took 56.94 seconds to complete the race.
So, the difference is (56.94 - 56.87) = 0.07 seconds.
The third positioned swimmer took 56.94 seconds and the fourth positioned swimmer took 57.17 seconds to complete the race.
So, the difference is (57.17 - 56.94) = 0.23 seconds.
The fourth positioned swimmer took 57.17 seconds and the fifth positioned swimmer took 57.27 seconds to complete the race.
So, the difference is (57.27 - 57.17) = 0.10 seconds.
The fifth positioned swimmer took 57.27 seconds and the sixth positioned swimmer took 57.35 seconds to complete the race.
So, the difference is (57.27 - 57.35) = 0.08 seconds.
Therefore, the difference in finishing time between the 2nd and 3rd places is the shortest and it is 0.07 seconds. (Answer)
Answer:
Between which two places is the difference in finishing times the shortest?
2 & 3
What is the difference in those times?
0.07
Step-by-step explanation:
i do
Three national news networks are trying to estimate what percentage of
American voters support a particular presidential candidate. To estimate the
population parameter, each of the three networks collect data from a simple
random sample of voters. Here are the numbers of voters in the networks
random samples:
• Network A: 1500 voters sampled
• Network B: 1250 voters sampled
• Network C: 1800 voters sampled
Which sample is likely to have the least variability?
O
A. The Network A sample
O
B. The Network B sample
O
C. The Network C sample
Answer:
Option C. The Network C sample.Explanation:
The variability of a sample may be described by using some common statistics like the variance and the standard deviation.
The variance and the standard deviation measure the difference between the values of the data and the mean. The variance is the average square of those differences or deviations. The standard deviation is the square root of the variance.
Thus, both variance and deviations, being an average of the differences of the data from the mean contain the number of data in the denominator of the equation.
That lets you know to conclude that the larger the number of data (the larger the sample) the smaller the variance and the standard deviation, this is the lower the variability of the data.
Hence, Network C, which has the greatest number of voters sampled (1,800) is likely to have the least variability.
Answer:
A
Step-by-step explanation:
1/24 without the fraction bar
Answer:
You can say it as 1 : 24
Step-by-step explanation:
2. Which expression is NOT equal to 125? (1 point)
Answer:
The answer is the first one
Abby can buy an 8-pound bag of dog food for $7.40 or a 4-pound bag of the same dog food for $5.38 . Which is the better buy
Answer:
the eight pound bag is better because you would have to pay $10.76 if you buy two of the 4 pound bags so you are saving $3.36
Step-by-step explanation:
Answer:
the 8 pound buy
Step-by-step explanation:
The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.
A.60
B.300
C.540
D.780
Answer:
540
Step-by-step explanation:
4×4×15×6×6=540
Explanation:
hope it helps
The volume of the solid rectangular prism with a hole is 444 mm³.
The correct answer is option A.
To find the volume of the solid rectangular prism with a hole, we calculate the volume of the outer rectangular prism and subtract the volume of the inner rectangular prism.
Volume of the Outer Rectangular Prism:
The outer rectangular prism has dimensions 15 mm (length) × 6 mm (width) × 6 mm (height). The volume (V_outer) is given by:
Volume_outer = length × width × height = 15 × 6 × 6 = 540 mm³.
Volume of the Inner Rectangular Prism:
The inner rectangular prism has dimensions 4 mm (length) × 4 mm (width) × the height of the outer prism (6 mm). The volume (V_inner) is given by:
Volume_inner = length × width × height = 4 × 4 × 6 = 96 mm³.
Volume of the Solid Rectangular Prism with Hole:
Subtracting the volume of the inner prism from the volume of the outer prism gives the volume of the solid:
Volume_solid = V_outer - V_inner = 540 - 96 = 444 mm³.
Therefore, the correct volume of the solid rectangular prism with a hole is 444 mm³.
The question probable may be:
The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.
A. 444
B.300
C.540
D.780
The weight of an object on a particular scale is 145.2 lbs. The measured
weight may vary from the actual weight by at most 0.3 lbs. What is the range
of actual weights of the object?
Answer:
(144.9;145.5) so from 144.9 to 145.5lbs
a square has an area of 25^2 what’s the length of each side??
Answer:
25
Step-by-step explanation:
Area is the square of the side length, so
s^2 = 25^2
Matching parts of this expression, we see ...
s = 25
The length of each side is 25.
The ratios of the angles in ABC is 3:5:7. Find the
measure of the angles.
The smallest angle is
So you have a diagram or picture of the triangle?
Anyways...
Answer: 36
Explanation:
3:5:7 is the ratio of the triangle's angles
The sum of all angles = 180 degrees.
3 + 5 + 7 = 15
Lets assume 'a' is the smallest angle with the ratio of 3
b is the second largest with a ratio of 5
And c is the largest angle with the ratio of 7
In other words:
a + b + c = 180
For 15 to get to 180 => 180 ÷ 15 = 12
So 15 × 12 = 180
So for 3 to get to a => 3 × 12 = 36
Thus the smallest angle is 36 degrees
Answer:s
The three angles are 36, 60, and 84 degrees
Smallest angle is 36 degrees
======================================================
Explanation
The ratio 3:5:7 is equivalent to 3x:5x:7x as we can multiply all parts of any ratio by the same number, and still have it be the same ratio.
So we can think of the three angles as 3x, 5x, 7x
Add up those angles. Set them equal to 180 and solve for x.
3x+5x+7x = 180
15x = 180
x = 180/15
x = 12
Use this x value to find the three angle measures
3x = 3*12 = 36
5x = 5*12 = 60
7x = 7*12 = 84
As a check, add up the angles to get: 36+60+84 = 180
So the answer is confirmed.
let x be an integer that satisfies x^4 + 24 = 105. what is the value of x^2 - 24?
Answer: -15
Step-by-step explanation:
[tex]x^{4}[/tex] + 24 = 105
subtract 24 from both sides of the equation .
[tex]x^{4}[/tex] = 105 - 24
[tex]x^{4}[/tex] = 81
find the fourth root of both sides
x = 3
Therefore : substitute x = 3 to find the value of [tex]x^{2} -24[/tex]
[tex]x^{2}[/tex] - 24 = [tex]3^{2}[/tex] - 24
= 9 - 24
= - 15
plz i need help with the question in the picture above please it is due for the next 3 mins will mark brainliest to fast and first answer :
if the sum of two numbers is 10 and their product is 24 find the numbers
Answer:
I have solved the question and it is in the picture above I solve the quadratic equation using factorization method I can solve it using the quadratic formula or completing the square method if you want any of these just comment below thank you bye
PLZ help pic included
[tex]x = 4.82[/tex]
Step-by-step explanation:
Given equation is:
6.2 ÷ (2x+1) = 2 1/3 ÷4
Applying the division operation
[tex]\frac{6.2}{2x+1} = 2\frac{1}{3} * \frac{1}{4}\\\frac{6.2}{2x+1} = \frac{7}{3}*\frac{1}{4}\\\frac{6.2}{2x+1} =\frac{7}{12}\\[/tex]
Cross multiplication
[tex]6.2(12) = 7(2x+1)\\14x+7 = 74.4\\14x = 74.4-7\\14x = 67.4[/tex]
Dividing both sides by 14
[tex]\frac{14x}{14} = \frac{67.4}{14}\\x = 4.8142857....[/tex]
Rounding off to nearest hundredth
[tex]x = 4.82[/tex]
Keywords: Linear equation, variables
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Keelie has a triangular-shaped card. The lengths of its sides are 3.9 cm, 5.2 cm, and 6.5 cm. Is the card a right triangle?
Answer:
Yes
Step-by-step explanation:
Since the longest side is 6.5 cm, so let it be hypotenuse c.
Verifying by right angle formula
c^2=a^2+b^2
(6.5)^2=(3.9)^2+(5.2)^2
42.25=15.21+27.04
42.25=42.25
Hence the given triangle is a right angles triangle
Determine the intercepts of the line.
-5x+9y=-18
y intersept-(0,_)
x intercept- (_,0)
The x intercept is [tex](\frac{18}{5} , 0)[/tex]
The y intercept is (0, -2)
Solution:
Given equation is:
-5x + 9y = -18
We have to find the y intercept and x intercept
The x-intercept is the point at which the line crosses the x-axis. At this point, the y-coordinate is zero.
The y-intercept is the point at which the line crosses the y-axis. At this point, the x-coordinate is zero
Finding x - intercept:To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'.
Substitute y = 0 in given equation
[tex]-5x + 9(0) = -18\\\\-5x = -18\\\\x = \frac{18}{5}[/tex]
[tex]\text{Thus the x - intercept is } (\frac{18}{5}, 0)[/tex]
Finding y - intercept:To find the y-intercept, plug 0 in for 'x' and solve for 'y'
Substitute x = 0 in given equation
[tex]-5(0) + 9y = -18\\\\9y = -18\\\\y = -2[/tex]
Thus the y intercept is (0, -2)
2x+y=1
9x + 3y = -3
The x-coordinate of the point of intersection is
-2
0
5
Answer:
The x-coordinate of the point of intersection is -2
Step-by-step explanation:
Here we have a typical system of linear equations whose solution will give us both the x- and the y- coordinates (i.e. the intersection point).
Let us solve the system and find which matches the available options, as follow. Given:
[tex]2x+y=1\\9x+3y=-3[/tex]
Taking the first expression and re arranging to solve for [tex]x[/tex] we have:
[tex]2x+y=1\\2x=1-y\\x=\frac{1-y}{2}[/tex] Eqn.(1)
Plugging in it, in the second expression we then have
[tex]9(\frac{1-y}{2} )+3y=-3\\\\\frac{9}{2}-\frac{9y}{2}+3y=-3\\ \\\frac{9}{2}-\frac{9y}{2}+\frac{6y}{2}=-\frac{6}{2}\\ \\-\frac{9y}{2}+\frac{6y}{2}=-\frac{6}{2}-\frac{9}{2}\\-3y=-15\\y=\frac{-15}{-3}\\ y=5[/tex]
So finally plugging in the y value in Eqn.(1) we have
[tex]x=\frac{1-5}{2} \\x=\frac{-4}{2}\\ x=-2[/tex]
The x-coordinate of the point of intersection is -2
2/3÷2⁴+(3/4+1/6)÷1/3
How do you figure this out
Answer: [tex]\frac{67}{24}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} /2^{4}+(\frac{3}{4} +\frac{1}{6})/\frac{1}{3} \\\\\frac{2}{3} /2^{4}+ \frac{11}{12} /\frac{1}{3} = \frac{2}{3} /16+ \frac{11}{12} /\frac{1}{3}[/tex]
Use the rule a÷b/c=a*c/b
[tex]\frac{2}{3} *\frac{1}{16}+ \frac{11}{12}/ \frac{1}{3}[/tex]
Use the rule a/b*c/d=ac/bd
[tex]\frac{2}{3*16}+ \frac{11}{12}/ \frac{1}{3} \\\\\frac{2}{48} +\frac{11}{12}/ \frac{1}{3} \\\\\frac{1}{24}+\frac{11}{12}/\frac{1}{3}[/tex]
Use the rule a÷b/c=a*c/b
[tex]\frac{1}{24} +\frac{11}{12} *3[/tex]
Use the rule a/b*c=ac/b
[tex]\frac{1}{24}+ \frac{11*3}{12}[/tex]
Simplify three times then you're done.
[tex]\frac{1}{24}+ \frac{33}{12}= \frac{1}{24}+ \frac{11}{4} =\frac{67}{24}[/tex]
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
Which fraction is equivalent to 50%? (in simplest fraction form) A) 1 2 B) 1 4 C) 2 5 D) 4 5
Answer:
1/2 is equivalent to 50%
Step-by-step explanation:
In order to convert a fraction to a percentage you divide the numerator (Top number of a fraction) by the denominator (Bottom number of a fraction), multiply by 100, and add a percentage sign.
So lets try that with our first answer option A) 1/2:
1 divided by 2 = 0.5
0.5 x 100 = 50
50%
So we know that 1/2 is equivalent to 50%
which is a better buy: 50 head of cattle for $24,500 or 37 head of cattle for $18,870?
Let us see...
50 head of cattle = 24,500
Divide everything by 50: 1 head of cattle = $490
37 head of cattle = 18,870
Divide the entire equation by 37: 1 head of cattle = $510
The second choice would cost a person $20 more than the first choice, so 50 head of cattle for $24,500 is a better buy.
3/4n=1/2 what is n
Answer:
n=2/3
Step-by-step explanation:
n=1/2÷3/4
n=1/2×4/3
n=4/6
n=2/3
James spent half of his weekly allowance on clothes. To earn more money his parents let him clean the oven for $8. What is his weekly allowance if he ended with $15.
Answer: 14
Step-by-step explanation: If you add 7 to 8 you get 15 so if he spent half of his allowance you multiply 7 by 2 so your answer is 14.
James's weekly allowance is calculated by setting up an equation based on the information given. After spending half of his allowance on clothes and earning an additional $8, the equation 0.5A + $8 = $15 is solved to reveal that James's weekly allowance is $14.
The student's question involves solving for James's weekly allowance, given that he spent half of it on clothes and earned an additional $8 by cleaning the oven, which resulted in him having a total of $15 at the end. To solve the problem, we need to set up an equation where 'A' represents James's weekly allowance.
James spent half of his allowance on clothes, which means he has half of it left. So, we can represent this as 0.5A. Then he adds $8 from cleaning the oven: 0.5A + $8 = $15. We isolate 'A' by subtracting $8 from both sides of the equation: 0.5A = $15 - $8, which simplifies to 0.5A = $7. To find the full value of his allowance (A), we divide by 0.5: A = $7 / 0.5, so A = $14.
Thus, James's weekly allowance is $14.
Julie invested 3000 in a simple interest account for 2 years. At the end of the 2 years, she had earned $75 in interest. What was the simple interest rate of the account
The simple interest rate was: 1.25%
Step-by-step explanation:
Simple interest is given by:
[tex]A = Prt\\Here\\A => Interest\\P=>Principal\ Amount\\r => Rate\\t => Time\ in\ years[/tex]
Given
Principal amount =$3000
Time = t = 2 years
Interest amount = A = $75
putting the values in the formula
[tex]75 = 3000 * r * 2\\75 = 6000r[/tex]
Dividing both sides by 6000
[tex]\frac{6000r}{6000} = \frac{75}{6000}\\r = 0.0125\\[/tex]
So,
The rate is:
0.0125 * 100 = 1.25%
Hence,
the simple interest rate was: 1.25%
Keywords: Simple interest, percentage
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A teacher offers her students 5 fake dollars to spend in the class store, when they get a perfect score on their math tests. If one of her students gets a perfect score on 4 of the math tests and already has 25 fake dollars, how many fake dollars, in total, does this student have to spend in the class store?
Answer:
45 fake dollar.
Step-by-step explanation:
Given: teacher offer 5 fake dollar for each perfect score in Math test.
One of Student get perfect score on 4 maths test.
Student already have 25 fake dollor.
Now, solving to find total number of fake dollar teacher offered to student.
As given teacher offer 5 dollar for each perfect score in maths test and student got perfect score on 4 maths test.
Number of fake dollar offer to the student= [tex]Fake\ dollar\ offered\ for\ each\ perfect\ score\ \times\ number\ of\ maths\ test\ with\ perfect\ score[/tex]∴ Number of fake dollar offered to the student= [tex]5\times 4= 20\ fake\ dollar[/tex]
We know, student already have 25 fake dollar.
Next, finding total number of fake dollar student have.
Total fake dollar student have= [tex]fake\ dollar\ offered\ by\ teacher + fake\ dollar\ student\ already\ have[/tex].
Total fake dollar student have= [tex]20+25= 45\ fake\ dollar[/tex]
Hence, student have total 45 fake dollar to spend in the class store.
What is -15x + 80 > 170
Answer:
Step-by-step explanation:
Value of x should be less than (-6).
x = { .......,-9,-8,-7}
For example:
-15*-7 +80 = 105+80 = 185 >170
The solution to the inequality -15x + 80 > 170 is x < -6. We subtract 80 from both sides and then divide by -15, remembering to reverse the inequality sign.
Explanation:The question provided asks for the solution to the inequality -15x + 80 > 170. To solve the inequality, we can follow these steps:
Subtract 80 from both sides to get -15x > 90.Divide both sides by -15 to solve for x, remembering that dividing by a negative number in an inequality reverses the inequality sign, resulting in x < -6.Therefore, the solution to the inequality is all values of x that are less than -6.
Sneha is planning a 5-night vacation. It will cost $50 for transportation, $290 for food, and $95 per night for a hotel room. She has $143 in savings and can earn $48 per driveway shoveling driveways. How many driveways must she shovel to have enough money to pay for the trip?
Answer:
Step-by-step explanation:
Total cost for trip = 290 + 50 + 95*5 =290+50+ 475 = $ 815
Savings = $143
Money needed = 815 - 143 = $ 672
No. of driveways = 672/48 = 14
14 driveways must she shovel to have enough money to pay for the trip.
Sneha needs to calculate the total cost of her vacation which is $815. After taking into account her savings, she requires an additional $672. As she earns $48 shoveling each driveway, she would need to shovel 15 driveways.
Explanation:This is a question of basic algebra and problem solving. Sneha needs to calculate the total cost of her vacation first. She will spend $50 on transportation, $290 on food, and $95 per night for the hotel for 5 nights, or $475 ($95 x 5) for the hotel total.
Adding these amounts together, Sneha's vacation will cost $815 ($50 + $290 + $475). She currently has $143 in savings, meaning she needs $672 more dollars ($815 - $143).
As Sneha earns $48 for each driveway she shovels, we divide the total she needs by the earning for each driveway. That gives us 14 driveways. As Sneha can't shovel a fraction of a driveway, she will need to shovel 15 driveways in total.
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The ratio of zinc to copper is 3 to 13 and a jar of the chemical contains 650 grams of copper. Can you please tell me the answer thanks :D
150 grams of zinc is present
Solution:
Given that, ratio of zinc to copper is 3 to 13
A jar of the chemical contains 650 grams of copper
From given information,
zinc : copper = 3 : 13
Let the zinc present be 3x
Let the copper present be 13x
Given that, jar contains 650 grams of copper
13x = 650
x = 50
Substitute x = 50 in 3x
Zinc present = 3x = 3(50) = 150
Thus it contains 150 grams of zinc
true or false a rectangle is never a rhombus
Answer:
Its true.A rectangle is never a rhombus.
Answer:
This is actually false according to most accepted definitions - a rectangle that has equal sides would be a square, and thus also a rhombus.
Step-by-step explanation:
The definition of a rhombus is that it has 4 equal sides.
Also, the definition of a rectangle is that it has two pairs or equal sides, and all angles are 90 degrees.
So a square is a special case of a rectangle. And a square is also a special case of a rhombus.
Meaning that a square is both a rhombus and a rectangle, so any rectangle with equal sides would also be a rhombus.
Diameter =4 cm, height= 3.6cm
The lateral area of the cylinder is approximately [tex]45.24 \, \text{cm}^2\)[/tex] and the volume is approximately [tex]\(45.24 \, \text{cm}^3\)[/tex].
To find the lateral area and volume of a cylinder, you can use the following formulas:
1. Lateral Area [tex](\(A_{\text{Lateral}})\)[/tex]:
[tex]\[ A_{\text{Lateral}} = 2 \pi r h \][/tex]
where r is the radius of the base and h is the height.
2. Volume (V):
[tex]\[ V = \pi r^2 h \][/tex]
Given that the diameter (D) is 4 cm, the radius (r) is half of the diameter, so [tex]\( r = \frac{D}{2} = \frac{4}{2} = 2 \)[/tex] cm, and the height (h) is 3.6 cm.
Now, let's calculate:
1. Lateral Area:
[tex]\[ A_{\text{Lateral}} = 2 \pi \times 2 \times 3.6 \][/tex]
2. Volume:
[tex]\[ V = \pi \times 2^2 \times 3.6 \][/tex]
Calculating these values:
1. Lateral Area:
[tex]\[ A_{\text{Lateral}} \approx 45.24 \, \text{cm}^2 \][/tex]
2. Volume:
[tex]\[ V \approx 45.24 \, \text{cm}^3 \][/tex]
So, the lateral area of the cylinder is approximately [tex]45.24 \, \text{cm}^2\)[/tex] and the volume is approximately [tex]\(45.24 \, \text{cm}^3\)[/tex].
Complete Question: Find the lateral area and volume of the cylinder whose diameter is 4 cm and height= 3.6cm.
Which similarity statement is true for the triangle shown ?
Answer:
B
Step-by-step explanation:
A and D are the same spots on the triangles, B and E are the same spots, and C and F are the same spots.
what is the value of the 8 in this number...1,284,590?
Answer: 8 ten thousands
Explanation: To determine what the digit 8 means in 1,284,590, if we put 1,284,590 into the place value chart, we can see that the the 8 appears in the tens column of the thousands period so the digit 8 in this number means 8 ten thousands.
9. A parallelogram is a quadrilateral.
True or False?
Answer:
YES
Step-by-step explanation:
Quadrilateral have 4 sides and their sum of angles is 360 and parallelogram also have 4 sides and sum of angles is 360
Final answer:
The statement that a parallelogram is a quadrilateral is true. A parallelogram is a type of quadrilateral with parallel opposite sides, and its properties are related to the parallelogram law in vector addition.
Explanation:
A parallelogram is indeed a type of quadrilateral with two pairs of parallel sides. In geometry, quadrilaterals are four-sided polygons, and parallelograms are a specific class within that category. Furthermore, in the context of vector addition, the parallelogram law shows how two vectors can combine to form the sides of a parallelogram. This law is closely related to the triangle law of vector addition as both can depict how vectors combine.
An example of the parallelogram's properties in advanced concepts would be where two objects at rest have world-lines that define a rectangle which may become a parallelogram in a different frame of reference. Additionally, the concept of vectors is also relevant when discussing the diagonals of a rhombus, which is a special type of parallelogram with all sides equal in length. Using vectors and their scalar products, it can be shown that the diagonals of a rhombus are always perpendicular to each other.