Answers
Answer: b
Step-by-step explanation:
[tex]\frac{h^{\frac{1}{3} } }{h^{\frac{1}{4} } }[/tex] I started to subtract exponents than shortly realized that form is not an answer. The want you to covert the top and bottom to roots and that is your anser.
When you have a number to a fractional exponent that is your root
[tex]=\frac{\sqrt[3]{h} }{\sqrt[4]{h} }[/tex]
which is b
Related Questions
Which triangle is an obtuse triangle?
A
a triangle with angles that measure 35°, 65°, and 80°
B
a triangle with angles that measure 30°, 40°, and 110°
a triangle with angles that measure 60°, 60°, and 60°
C
a triangle with angles that measure 30°, 60°, and 90°
Answers
Answer:
None is obtuse
Step-by-step explanation:
An obtuse is something more than 180°and less than 360°
A.35°+65°+80°=180° Not obtuse
B.30°+40°+110°=180° Not obtuse
60°+60°+60°=180° Not obtuse
C.30°+60°+90°=180° Not obtuse
Answer:
B. a triangle with angles that measure 30°, 40°, and 110°
Step-by-step explanation:
An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
plot and connect the points in the order listed below when you are done find the area of the resulting figure (-5,5) (-2,5) (-2,8) (9,8) (9,-3) (-2,-3) (-2,2) (-5,2) area= units
Answers
Check the picture below.
```
(-5,5)--(-2,5)--(-2,8)--(9,8)--(9,-3)--(-2,-3)--(-2,2)--(-5,2)--(-5,5)
```
To find the area of the resulting figure, we can divide it into two rectangles and a triangle, and then sum the areas of the three shapes.
The first rectangle has dimensions 3 x 3, and the second rectangle has dimensions 7 x 5. The triangle has base 3 and height 5 (measured from the point (-2,5) to the line connecting (-2,-3) and (-5,-3)).
Therefore, the area of the resulting figure is:
(3 x 3) + (7 x 5) + (0.5 x 3 x 5) = 9 + 35 + 7.5 = 51.5 square units
So the area of the resulting figure is 51.5 square units.
The average GPA of a random sample of 31 college students who take evening classes was calculated to be
2.74 with a standard deviation of 0.07. The average GPA of a random sample of 18 college students who
take daytime classes was calculated to be 2.73 with a standard deviation of 0.03. Test the claim that the
mean GPA of night students is larger than the mean GPA of day students at the .05 significance level.
Claim: Select an answer which corresponds to [Select an answer
Opposite: [Select an answer which corresponds to [Select an answer
The test is: Select an answer
The test statistic is: t-
The P-value is: Select an answer
Based on this we: Select an answer
(to 2 decimals)
Conclusion There Select an answer appear to be enough evidence to support the claim that the mean
GPA of night students is larger than the mean GPA of day students.
Answers
The results of the two-sample t-test, there does not appear to be enough evidence to support the claim that the mean GPA of night students is larger than the mean GPA of day students.
To test the claim that the mean GPA of night students is larger than the mean GPA of day students, we can perform a two-sample t-test. The null hypothesis is that there is no difference in the mean GPAs between the two groups, while the alternative hypothesis is that the mean GPA of night students is larger than the mean GPA of day students.
Using the given data, we can calculate the test statistic as follows:
t = (2.74 - 2.73) / sqrt((0.07^2 / 31) + (0.03^2 / 18)) = 0.45
The degrees of freedom for this test are 31 + 18 - 2 = 47. Using a t-table or calculator, we can find that the p-value for this test is approximately 0.326.
Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. This means that we do not have enough evidence to support the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.05 significance level.
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What’s 80% of $500 worth items
Answers
Answer:
$400
Step-by-step explanation:
80% = 80/100 = 8/10 = 0.8
0.8(500)=400
Square root 6 (5) square root 10+2=
Answers
10√15 + 2 is a simplified expression of the given expression.
We need to use the distributive property of multiplication to simplify the expression:
√6(5)√10 + 2
= 5√6√10 + 2
Since √6 and √10 cannot be simplified any further, we can multiply them together to get:
√6√10 = √(6 × 10) = √60
Now, we need to simplify the expression using this result:
5√6√10 + 2
= 5(√60) + 2
= 5(√4 × √15) + 2
= 5(2√15) + 2
= 10√15 + 2
Therefore, √6(5)√10+2 simplifies to 10√15 + 2.
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After 1 year, $400 deposited in a savings account with simple interest had earned $16 in interest. What was the interest rate?
Answers
Harper is getting ready to plant corn on his family's farm. The table shows the number of pounds of seed she needs to buy depending on the number of hectares she will plant. Hectares, h 10 15 25 50 Pounds of seed, p 200 300 500 1000 a. Write an equation that shows how to find the pounds of seed, p, needed for h hectares of land. b. Write an equation that shows how many hectares, h, Harper can plant with p pounds of seed.
Answers
An equation that shows how to find the pounds of seed, p, needed for h hectares of land is p = 20h.
An equation that shows how many hectares, h, Harper can plant with p pounds of seed is h = p/20.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this table;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (300 - 200)/(15 - 10)
Slope (m) = 100/5
Slope (m) = 20
At data point (10, 200) and a slope of 20, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 200 = 20(x - 10)
y = 20x - 200 + 200
y = 20x ≡ p = 20h
Making h the subject of formula, we have:
h = p/20
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Please help answer the attached image
Answers
The collusive outcome is better for both firms than the Bertrand outcome.
How to explain the informationSetting the price equal to marginal cost gives us:
P = $100
Substituting into the demand function, we get:
Q = 140 - (100/0.5) = 40
Therefore, each firm will sell 20 units of service, for a total of 40 units sold. The market price will be $100, and each firm will earn zero profit
The market demand function is:
P = 70 - 0.5Q
Total revenue for the monopoly is:
TR = P*Q = (70 - 0.5Q)*Q = 70Q - 0.5Q^2
The marginal revenue function is:
MR = dTR/dQ = 70 - Q
Setting marginal revenue equal to marginal cost (which is still $100), we get:
70 - Q = 100
Q = 30
Therefore, the monopoly will sell 30 units of service. Each firm will sell half of this quantity, or 15 units. The market price will be:
P = 70 - 0.5Q = $55
Each firm's total revenue will be:
TR = P*Q = $1,650
Each firm's total cost will be:
TC = 100*15 = $1,500
Therefore, each firm will earn a profit of:
π = TR - TC = $150
Note that this collusive outcome is better for both firms than the Bertrand outcome,
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What is the perimeter of a square that has an area of 595.36 square feet?
Answers
Answer :
97.6 feetStep-by-step explanation:
It's given that, Area of square is 595.36 square feet.
As we know that area of square is calculated by,
Area = side²
Substituting the values,
595.36 = side
side =√595.36
side = 24.4 feet
Hence, the side of the square is 24.4 feet.
Now,
Perimeter (square) = 4 × side
Perimeter = 4 × 24.4
Perimeter = 97.6 feet
Therefore, The perimeter of the square is 97.6 feet
Write the equation of the line that passes through the points (-2, -1) and (2, 11)
Answers
The equation of the line that passes through the points (-2, -1) and (2, 11) will be y = 3x + 5.
Given that:
Points, (-2, -1) and (2, 11)
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The equation that passes through (-2, -1) and (2, 11) is calculated as,
(y + 1) = [(11 + 1) / (2 + 2)](x + 2)
y + 1 = 3x + 6
y = 3x + 5
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Greg was working on a Physics project which involved his weight in kilograms. He
stepped on a scale and he weighed 132 pounds. How much is his weight in kilograms?
A. 60
B. 120
C. 132
D. 290.4
Answers
The calculated value of the weight in kilograms is 60 kg
How much is his weight in kilograms?From the question, we have the following parameters that can be used in our computation:
He stepped on a scale and he weighed 132 pounds
This means that
Weight = 132 pounds
By the metric units of conversion, we have
1 pound = 0.453592 kg
Substitute the known values in the above equation, so, we have the following representation
Weight = 132 * 0.453592 kg
Evaluate
Weight = 59.87 kg
Approximate
Weight = 60 kg
Hence, the weight is 60 kg
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what are the answers? thank you.
Answers
Answer:
176.78cm squared,23.57cm,Step-by-step explanation:
inorder to solve the area of the shaded area;°/360ñRsquared
arc length you use ;°/360ñD
3. Alaska is 3,186 miles from California and 2,774 miles from Florida.
Assuming the roads between the three States made a right triangle, find the
distance from California to Florida.
Answers
Answer: 4224.413805 miles
Step-by-step explanation:
First, we use The Pythagorean Theorem equation to find the distance between California and Florida
Equation: [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
[tex]3186^{2}[/tex]+[tex]2774^{2}[/tex]=[tex]c^{2}[/tex]
So, we are trying to solve for c.
The first thing we do is evaluate the expression.
10,150,596+7,695,076=[tex]c^{2}[/tex]
Add like terms
17,845,672=[tex]c^{2}[/tex]
Then, do inverse operations and square root 17,845,672
You would then get 4224.413805 miles.
Find the value of X for the following
Answers
Answer:
x = 8.1
Step-by-step explanation:
According to Euclidean theorem:
10² = 12 × (2x - 8)
Multiply inside the parenthesis with 12.10² = 24x - 96
Find the second power of 10.100 = 24x - 96
Add 96 to both sides.100 + 96 = 24x
Add the expressions.196 = 24x
Divide both sides by 24.8.1 = x approximately
PLEASE HELP!!
The number of miles m (in billions) traveled by vehicles in City A can be modeled by
m = 2.86t + 112 where t is the number of years since 1994. Use a graphing calculator to
approximate the year in which the number of vehicle miles of travel in City A was 140 billion.
Based on the linear model, the number of vehicle miles of travel in City A was 140 billion in the
year
Answers
The value of the year in which the number of vehicle miles of travel in City A was 140 billion is,
t = 9.79 years
Given that;
The number of miles m (in billions) traveled by vehicles in City A can be modeled by,
m = 2.86t + 112
where t is the number of years since 1994.
Hence, We can formulate;
The value of the year in which the number of vehicle miles of travel in City A was 140 billion is,
m = 2.86t + 112
140 = 2.86t + 112
140 - 112 = 2.86t
28 = 2.86t
t = 28/2.86
t = 9.79 years
Thus, The value of the year in which the number of vehicle miles of travel in City A was 140 billion is,
t = 9.79 years
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Write the angle in degrees and minutes. 20 1/2°
Answers
After considering the given data we come to the conclusion that the evaluated angle of 20 1/2° can be placed in degrees and minutes as 20° 30'.
Angles are generally measured in degrees, also known as a unit of measurement for angles, arcs, and circles, in geometry and trigonometry. A degree is 1/360th of a full circle's revolution, and it is typically designated by the sign.
Angles can be gradually divided into minutes and seconds, which are smaller units of measurement when they are presented in degrees. One degree has 60 minutes, and one minute has 60 seconds. Then, 360 degrees, 0 minutes, and 0 seconds can be used to express a full circle.
For instance 20 1/2°, we first apply the entire number (20) to represent the number of degrees before multiplying the fraction (1/2) by 60 to represent the number of minutes.
The angle may be exposed as 20 degrees and 30 minutes since this provides us with 30 minutes. It should be helpful to express angles in degrees and minutes (or seconds) in a variety of contexts, including engineering, astronomy, and navigation.
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Consider functions fand g.
f(x)= log (x-1)
g(x)= 1/3x2 - 4
Which statement gives the best approximation of the solutions of the equation f(x) = g(x)?
=
OA.
The solutions are where the graphs of the functions cross the x-axis at ≈ -3.464and ≈ 3.642.
OB. The solutions are where the graphs of the functions intersect at
-3.464and ≈ 3.464.
OC. The solutions are where the graphs of the functions intersect at
land ≈ 3.642.
OD. The solutions are where the graphs of the functions cross the x-axis at ≈ -4and ≈ 0.422.
d
Answers
The solutions are where the graphs of the functions intersect at x = 1 and the value at x ≈ 3.642
Given data ,
Let the first function be f ( x )
Now , the value of f ( x ) = log ( x - 1 )
Let the second function be g ( x )
g ( x ) = ( 1/3 )x² - 4
On simplifying the equation , we get
f ( x ) = g ( x )
On plotting the graph , we get the point of intersection at x = 1 and x = 3.642
Hence , the solution of equations are x = 1 and x = 3.642
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Answer:
x = 1 and x = 3.642
Step-by-step explanation:
Plato/Edmentum
Dina is shipping a wall map to a collector. When the map is rolled up, it measures 7 ft long. She will use a box that is a right rectangular prism with a base that is 3 ft by 3 ft. Which whole number could be the shortest height of the box that will hold the map? Justify your answer.
A. 4 ft
B. 5 ft
C. 6 ft
D. 7 ft
Answers
Check the picture below.
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{b}\\ a=\stackrel{adjacent}{3}\\ o=\stackrel{opposite}{3} \end{cases} \\\\\\ b=\sqrt{ 3^2 + 3^2}\implies b=\sqrt{ 9 + 9 } \implies b=\sqrt{ 18 } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{7}\\ a=\stackrel{adjacent}{\sqrt{18}}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 7^2 - (\sqrt{18})^2}\implies h=\sqrt{ 49 - 18 } \implies h=\sqrt{ 31 }\implies h\approx 6[/tex]
Answer:
6 ft
Step-by-step explanation:
In the right triangle ABC connect points A and B
BC=3ft
AC=3ft
AB² =BC² + AC²=9+9=18ft²
In the right triangle ABD, AB²=18ft
BD=7ft
AB²+AD²=BD²
18+AD²=7²
AD²= 49-18
AD=[tex]\sqrt{31\\[/tex] =5.6
the length of AD is a whole number, round it
AD=6ft {the shortest height}
What is the incorrect statement?show your work
Answers
Reasoning:
The correct statement for the first one would need to be corrected to:
The transformation can be represented by (-x, -y) because both axis’s are negative in Quadrant 3
The rectangle was reflected over the y-axis as it is horizontally flipped rather than vertically like it would be had it flipped over the x axis.
Numbering the quadrants, the original image is is in quadrant IV. We start with the top right being Quadrant 1, the top left being Quadrant 2, bottom left being Quadrant 3, and bottom right being Quadrant 4. Because the letters on the right do not have the prime symbol (‘), it means it is the pre-image.
The pre-image and current image are congruent because they perfectly reflect each other and are “in harmony”.
find the surface area of the figure
Answers
The calculated value of the surface area of the cylinder is 1056π
Calculating the surface area of the cylinder
From the question, we have the following parameters that can be used in our computation:
Slant height, l = 40 mm
Height, h = 32 mm
Calculate the radius r using
(2r)² = 40² - 32²
So, we have
(2r)² = 576
r = 12
using the above as a guide, we have the following:
SA = 2πr(r + h)
Substitute the known values in the above equation, so, we have the following representation
SA = 2π * 12(12 + 32)
Evaluate
SA = 1056π
Hence, the surface area of the cylinder is 1056π
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Need help putting the angle pairs in their right spot!!!
Answers
The angle relationships are as follows:
Corresponding angles → ∠5 and ∠13 and ∠3 and ∠11
Alternate interior angles → ∠4 and ∠9 and ∠7 and ∠14
Alternate exterior angles → ∠5 and ∠16
Consecutive interior angles → ∠3 and ∠9
How to find angle relationships?When parallel lines are crossed by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, adjacent angles, same side interior angles, vertically opposite angles etc.
Therefore, let's classify the angle relationships in the diagram.
Hence,
∠5 and ∠13 and ∠3 and ∠11 are corresponding angles
∠4 and ∠9 and ∠7 and ∠14 are alternate interior angles.
∠5 and ∠16 are alternate exterior angles.
∠3 and ∠9 are consecutive interior angles.
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Solve the following equation for w
3w-7= √8w-7
Answers
Step-by-step explanation:
to[tex]3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4[/tex]
to make sure the answer
substitute w = 14/9 and w = 4 to the equation.
if w = 14/9
[tex]3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} [/tex]
we know that if we substitute w = 14/9, the answer is not the same.
if w = 4
[tex]3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5[/tex]
if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4
#CMIIWpoint(s) possible
Find the area of the shaded region. The graph depicts the standard
normal distribution with mean 0 and standard deviation 1.
Click to view page 1 of the table. Click to view page 2 of the table.
The area of the shaded region is.
(Round to four decimal places as needed.)
Submit test
z = 0.22
Q
Answers
Note that the area of the shaded region is 0.4129. See how it was derived.
How did we arrive at this ?Using the standard normal distribution table, the area to the left of
z = 0.22 is 0.5871.
Therefore, the area of the shaded region to the right of z = 0.22 is
1 - 0.5871 = 0.4129
Rounding to 4 decimal places, the area of the shaded region is 0.4129.
The shaded region's area is the difference between the area of the complete polygon and the area of the polygon's unshaded portion.
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Miss Wan and Miss Lim left their school at 2.50 p .m and drove along the same
route to Orchard Road. Miss Wan drove at an average speed of 60 Km/h and
reache Orchard Road 30 min later. Meanwhile, Miss Lim was still 5 km away from Orchard
Road.
a) What was the Miss Lim's average speed for the whole journey?
b) What time would Miss Lim reach Orchard Road?
Answers
Answer and explanation:
a) To find the average speed of Miss Lim for the whole journey, we need to use the formula:
Average speed = Total distance ÷ Total time
Let's first calculate the total distance traveled by both Miss Wan and Miss Lim. We know that Miss Wan drove at an average speed of 60 km/h and reached Orchard Road 30 minutes later. So, the total distance traveled by her would be:
Distance = Speed × Time
Distance = 60 km/h × (30/60) h
Distance = 30 km
Now, we also know that Miss Lim was still 5 km away from Orchard Road when Miss Wan reached there. Therefore, the total distance traveled by both of them would be:
Total distance = Distance covered by Miss Wan + Distance left for Miss Lim
Total distance = 30 km + 5 km
Total distance = 35 km
Next, let's calculate the total time taken by both of them. We know that Miss Wan took 30 minutes less than Miss Lim to reach Orchard Road. So, if we assume that Miss Lim took t hours to reach Orchard Road, then Miss Wan took (t - 0.5) hours. Therefore, the total time taken by both of them would be:
Total time = Time taken by Miss Wan + Time taken by Miss Lim
Total time = (t - 0.5) h + t h
Total time = 2t - 0.5 h
Now, we can use the formula to find the average speed of Miss Lim:
Average speed = Total distance ÷ Total time
Average speed = 35 km ÷ (2t - 0.5) h
Therefore, the average speed of Miss Lim for the whole journey is 35/(2t-0.5) km/h.
b) To find out what time Miss Lim would reach Orchard Road, we can use the formula:
Time taken = Distance ÷ Speed
We know that Miss Lim was 5 km away from Orchard Road when Miss Wan reached there. Therefore, the distance left for Miss Lim to cover would be:
Distance = 5 km
We also know that Miss Lim's average speed for the whole journey is 35/(2t-0.5) km/h. Therefore, the time taken by her to cover the remaining distance of 5 km would be:
Time taken = Distance ÷ Speed
Time taken = 5 km ÷ 35/(2t-0.5) km/h
Time taken = (2t - 0.5) ÷ 7 h
Now, we need to add this time to the time when Miss Wan reached Orchard Road, which was 30 minutes past 2.50 p.m. So, the time when Miss Lim would reach Orchard Road would be:
Time = Time when Miss Wan reached Orchard Road + Time taken by Miss Lim
Time = 2.50 p.m. + 30 min + (2t - 0.5) ÷ 7 h
Simplifying this equation, we get:
Time = (14t + 11) ÷ 14 p.m.
Therefore, Miss Lim would reach Orchard Road at (14t + 11) ÷ 14 p.m.
Answer:
a) 50 km/h
b) 3:26 p.m.
Step-by-step explanation:
You want to know Miss Lim's average speed and arrival time at Orchard Road if Miss Wan gets there in 30 minutes at 60 km/h, starting at 2:50 pm.
DistanceThe distance Miss Wan traveled is ...
distance = speed × time
distance = (60 km/h) × (1/2 h) = 30 km
a) SpeedIn the same 30 minutes that Miss Wan traveled 30 km, Miss Lim traveled 5 km less, so 30 -5 = 25 km. Miss Lim's speed was ...
speed = distance/time
speed = (25 km)/(1/2 h) = 50 km/h
Assuming Miss Lim maintained that speed for the remaining 5 km, her average speed for the journey was 50 km/h.
b) TimeMiss Lim's travel time is ...
time = distance/speed
time = (30 km)/(50 km/h) = 3/5 h = 36 min
The clock time 36 minutes after 2:50 pm is 3:26 pm.
Miss Lim reached Orchard Road at 3:26 p.m..
Find surface area
LOTS OF POINT**
Answers
The surface area of the cone is 763.02 cm²
What is surface area of a cone?A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex.
The surface area of a cone is expressed as;
SA = πr( r+l)
where l is the slant height and r is the radius
Incase l is not given ;
l = √h²+r²
The radius of this cone = diameter/2
= 18/2 = 9cm
SA = 3.14 × 9( 9+18)
SA = 28.26 × 27
SA = 763.02 cm²
therefore the surface area of the cone is 763.02 cm²
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Question 6
For each equation, determine whether x and y are directly proportional (that is, if the equation shows direct variation).
If so, then find the constant of proportionality (the constant of variation).
(a) =yx
Proportional
Constant of proportionality: =k
Not proportional
(b) =y−52x
Proportional
Constant of proportionality: =k
Not proportional
Clears your work.
Undoes your last action.
Answers
a) For equation y = x
x and y are directly proportional and the constant of proportionality k = 1
b) For equation y = -52x
x and y are directly proportional and the constant of proportionality k is -52
A) Consider equation y = x
For x = 1, y = 1
For x = -1, y = -1
And for x = 1/2 the value of y is 1/2
This means that y is directly proportional to x.
And the constant of proportionality k would be,
k = y/x
k = 1
B) Consider equation y = -52x
For x = 1 the value of y is -52
For x = -1, the value of y is y = 52
And for x = 0 the value of y is 0
This means that y is directly proportional to x.
And the constant of proportionality k would be,
k = y/x
k = -52
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Express the ratios as a fraction without reducing.
a. 6 : 13
b. 7 : 40
c. 45 : 36
d. 37 : 43
Answers
The ratios as a fractions without reducing are:
a. 6/13
b. 7/40
c. 45/36
d. 37/43
To express a ratio as a fraction, we simply write the first number (the antecedent) as the numerator and the second number (the consequent) as the denominator. We do not reduce the fraction to its lowest terms because it changes the value of the ratio. For example, the ratio 6:13 cannot be reduced to 3:7 because they are not equal.
By expressing the ratios as fractions, we can easily compare and calculate with them, especially in mathematical operations such as multiplication and division. It is also a common practice in statistics to represent ratios as fractions, which can be useful in interpreting data and making comparisons between groups.
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Answers
The surface area of the footrest is 1018 inches squared.
1 yard square of fabric will completely cover the footrest.
How to find the surface area of a rectangular prism?Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric . The footrest is 19 inches, 11 inches and 10 inches.
She has only 1 square yard of fabrics.
Hence, let's check if she can cover the footrest completely.
Therefore,
surface area of the rectangular prism = 2(lw + hw + lh)
Hence,
surface area of the rectangular prism = 2(19 × 11 + 19 × 10 + 10 × 11)
surface area of the rectangular prism = 2(209 + 190 + 110)
surface area of the rectangular prism = 2(509)
surface area of the rectangular prism = 1018 inches squared
Therefore, the footrest has a surface area of 1018 inches squared.
1296 inches² = 1 yard²
1018 inches² = ?
surface area of the footrest in yards squared = 1018 / 1296
surface area of the footrest in yards squared = 0.79 yard²
Therefore, the fabric will completely cover the footrest.
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Use the given zero to find the remaining zeros of the function.
h(x)=x²-12x³ +28x² + 196x-1845
zero: 4-5i
Enter the remaining zeros of h.
(Use a comma to separate answers as needed.)
Answers
The remaining zeros of h based on the function will be 9 and -5.
What is a function?A function in math represents the correlation between two groups of numerical data, known as domain and range. The input value is drawn from the first set or domain, while the resulting output value belongs to the second set or range.
It should be noted that to specify, a formal breakdown states that a function f operates from X into Y whereby each component x of X possesses an exclusive element y in Y referred to by the mentioning of f(x) = y. Here, it's clear that 'x' applies to input with its respective contribution being labeled as 'y', which denotes the result of the equation belonging to set Y.
In this case, the remaining zeros of h based on the function will be 9 and -5.
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or
You pick a card at random. Without putting the first card back, you pick a second card at random.
6
7
8
9
What is the probability of picking a 9 and then picking a number less than 8?
Simplify your answer and write it as a fraction or whole number.
Answers
The probability of picking a 7 and then picking a number greater than 7 is 1/3.
Now, given that we have already picked three cards. So, 7, 8, and 9.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
The number of possible outcomes is 3.
Probability of picking 7 = 1/3
Now, as card seven is already picked up cards 8 and 9 are the only card left.
therefore, the sample size(possible outcomes) was reduced to 2 only.
Also, cards 8 and 9 both are greater than 7, thus the desired outcome is also 2.
Further the probability of the number greater than 7 occurring,
Probability (n>7) = 2/2 =1
Probability picking a number greater than 7
The probability of picking a 7 and then picking a number greater than 7
= Probability of card 7 occuring x probability of card 8 and 9 occurring
= 1/3 ×1
= 1/3
Hence, the probability of picking a 7 and then picking a number greater than 7 is 1/3.
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"Your question is incomplete, probably the complete question/missing part is:"
You pick a card at random. Without putting the first card back, you pick a second card at random. There're 3 cards. One is 7, one is 8, and the other is a nine. What is the probability of picking a 7 and then picking a number greater than 7? (Write the probability as a fraction or whole number.)
