Angles are usually given in degrees or in radians.
A circle is 360 degrees.
To convert degrees to radians, multiply the known degree by π/180.
Example 45 degrees = 45 x π/180 = 0.7854 radians.
To convert radians to degrees, multiply the known radian by 180/π.
5 radian = 5 x 180/π = 286.48 degrees.
The correlation between the measurements is written below.
What is an Angle ?An angle is a combination of two rays with a common endpoint.
The endpoint is called as the vertex of the angle,the rays are called the sides.
The various units in which angle is measure are Degree, radians and revolutions
A revolution is the measure of an angle formed when the initial side rotates all the way around its vertex until it reaches its initial position
One radian (1 rad) is the measure of the central angle (an angle whose vertex is the center of a circle) that intercepts an arc whose length is equal to the radius of the circle.
A degree is equal to 360 revolutions.
The correlation between the measurements can be written as
[tex]\rm 1 \;radian =(\dfrac{180}{\pi })^o = \dfrac{1}{2\pi } revolution[/tex]
For example 30° = π/6 radian = 1/12 revolutions
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Given that the measure of angle GHJ = 154 degrees find the angle of HIJ
Answer:
the correct answer is 77°
Step-by-step explanation:
Angle GHJ and IHJ form supplementary angles which add up to 180°
therefore angle IHJ=180-154
angle IHJ=26°
Triangle IHJ is an isosceles triangle whose base angles HIJand IJH are equal. Lets assign them the same value, x° each
since the sum of all interior angles of a triangle add up to 180°, then x°+x°+26°=180°
2x+26=180
2x=154°
x=77°
Therefore both HIJ and IJH measure 77°
Assume that x is a variable that has been declared as a double and been given a value. Write an expression to compute the quartic root of x. The quartic root of a number is the square root of its square root. EXAMPLES: For example, the quartic root of 16.0 is 2.0 because: the square root of 16.0 is 4.0 and the square root of 4.0 is 2.0. Another example: the quartic root of 81.0 is 3.0 because the square root of 81.0 is 9.0 and the square root of 9.0 is 3.0. Thus, to find the quartic root of a number you take the square root of the number and then take the square root of that. In this exercise you must find the quartic root of x in a single expression-- you must not write any statements. Also, you may only use the sqrt() function-- no other functions. (HINT: you will need to call the sqrt() function twice-- and you will need to pass the return value of one of those calls as argument to the other call. AND REMEMBER: write an expression, not a statement.)
The expression to compute the quartic root of a number x is sqrt(sqrt(x)).
Explanation:
To compute the quartic root of a number x, you can use the sqrt() function twice. The first call to sqrt() will find the square root of x, and the second call will find the square root of the result from the first call. This can be expressed as sqrt(sqrt(x)). This expression will return the quartic root of x if x is a positive number.
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Jeremy rode for 2.2 miles in the morning and then 11.1 miles in the afternoon. He rode the same distance each day for 9 days. What was the total distance Jeremy rode in 9 days?
Answer:
[tex]119.7\ miles[/tex]
Step-by-step explanation:
step 1
Find the total distance Jeremy rode in one day
[tex]2.2+11.1=13.3\ miles[/tex]
step 2
Find the total distance Jeremy rode in 9 days
Multiply the distance Jeremy rode in one day by the total days
so
[tex]13.3(9)=119.7\ miles[/tex]
Please help me out.....................
Answer:
y = 10
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, hence
x + 10 = 110 - 4x ( add 4x to both sides )
5x + 10 = 110 ( subtract 10 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
Using the other pair of congruent sides, then
3y - 10 = 2x - 20 = (2 × 20) - 20 = 40 - 20 = 20, thus
3y - 10 = 20 ( add 10 to both sides )
3y = 30 ( divide both sides by 3 )
y = 10
If Sean had 1.0 × 10^7 jelly beans and Jeremy had 4.0 × 10^4 jelly beans, how many times greater was Sean's collection compared to that of Jeremy?
Answer:
Sean's collection was 250 times greater than Jeremy's.
Step-by-step explanation:
1.0 x 10^7 is the same as 10,000,000
4.0 x 10^4 is the same as 40,000
Divide 10,000,000 by 40,000 to get the answer. 10,000,000/40,000 = 250
If you pour 5 gallons of water into 1-cup containers,woeld you need more than or fewer that 5 containers?
Answer:
more than: how much cups? 80 cups
Step-by-step explanation:
a little story to remember better:
there is a island called gallon island. there are 4 queens(quarts) and each queen has two prince's or princesses(pint). and each princess/prince has two childeren(cup)
if you draw it out you see:
one gallon
4 quarts
8 pins
and 16 cups
one gallon has 16 cups which is wayy more than 5 cups so the answer is more than 5 cups
now how much cups do you exactly need?
16 cups x 5 gallons = 80 cups
plz give brainliesttt
Evaluate the line integral xsiny ds if c is the line segment from (0,3) to (4,6)
Answer:
[tex]-7.3[/tex]
Step-by-step explanation:
We want to evaluate the line integral:
[tex]\int\limits^{(4,6)}_{(0,3)} {x\sin y} \, ds[/tex]
where [tex]ds=\sqrt{(\frac{dx}{dt})^2+(\frac{dy}{dt})^2 }dt[/tex]
The parametric equation of the straight line joining (0,3) and (4,6) is
[tex]x=4t[/tex] and [tex]y=3t+3[/tex]
This implies that;
[tex]ds=\sqrt{(4)^2+(3)^2 }dt[/tex]
[tex]ds=\sqrt{25}dt[/tex]
[tex]ds=5dt[/tex]
Our line integral then becomes;
[tex]\int\limits^{1}_{0} {4t\sin (3t+3)} \, 5dt[/tex]
Using, using integration by parts, we obtain;
[tex]20\int\limits^{1}_{0} {t\sin (3t+3)} \, dt=-7.3[/tex] to the nearest tenth.
The solution to the line integral for the equation [tex]\mathbf{\int ^{(4,6)}_{(0,3)} \ x \ sin y \ ds}[/tex] where c is the line segment from (0,3) to (4,6) is -7.3
What is line integral?
A line integral is a type of integral in mathematics in which the variable function to be integrated is measured across a curve.
From the given information, we are to evaluate the line integral:
[tex]\mathbf{\int ^{(4,6)}_{(0,3)} \ x \ sin y \ ds}[/tex]
where;
[tex]\mathbf{ds = \sqrt{(\dfrac{dx}{dt})^2 + (\dfrac{dy}{dt})^2}}[/tex]
Using the parametric function to determine the straight line joining (0,3) and (4,6), we have:
x = 4ty = 3t + 3Then, we can now have ds to be:
[tex]\mathbf{ds = \sqrt{(\dfrac{4}{1})^2 + (\dfrac{3}{1})^2} \ dt}[/tex]
[tex]\mathbf{ds = \sqrt{(16 + 9} \ dt}[/tex]
[tex]\mathbf{ds = \sqrt{25} \ dt}[/tex]
ds = 5dt
Now, the line integral can be written as:
[tex]\mathbf{=\int^1_0 4t sin (3t + 3) \ 5 dt}[/tex]
By applying integration by parts, we have:
[tex]\mathbf{= 20 \int^1_0 t sin (3t + 3) \ dt}[/tex]
= -7.3
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In horse racing, different horses are often assigned different weights to carry. In a particular race, the standard weight carried is 53 kg. The weight carried by each horse cannot differ by more than 4 kg from the standard. What are the maximum and minimum acceptable weights for a horse to carry in this race?
a 49 kg–57 kg
b 53 kg–61 kg
c 51 kg–55kg
d 45 kg–53 kg
In the context of this horse racing problem, the weights assigned to horses can range from 53 kg - 4 kg to 53 kg + 4 kg, or 49 kg to 57 kg, thus option a (49 kg–57 kg) is the correct answer.
Explanation:
The question involves the concept of range in mathematics. In this horse racing scenario, we are given that the standard weight carried is 53 kg, and that the weight carried by each horse cannot differ by more than 4 kg from the standard. To find the maximum weight, we need to add 4 kg to the standard weight. So, the maximum weight a horse can carry is 53 kg + 4 kg = 57 kg. Likewise, to find the minimum weight, we subtract 4 kg from the standard. As a result, the minimum weight a horse can carry is 53 kg - 4 kg = 49 kg. Therefore, the maximum and minimum acceptable weights for a horse to carry are 57 kg and 49 kg, respectively, making option a the correct answer.
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What is heavier a 100 lb bag of feathers or a 100lb of a concrete
Answer:
They are the same weight
Step-by-step explanation:
Haha! A classic riddle! They are both 100 pounds, so they weigh the same.
Hello there!
They are both the same. In the question, it states that you have 100 lbs of each item, so you have the same amount. There are probably waaaaay more flowers since they are very light, but nonetheless you still have 100 lbs so they will weigh the same :)
I hope this helps, have a great day!
Solve for q. k = 4pq²
A q=±kp√2
B q=±2kp−−√
C q=±2kp√p
D q=±kp√2p
Final answer:
To solve for q in the equation k = 4pq², divide both sides of the equation by 4p and take the square root of both sides. Simplify to get q = ±(√k)/(2√p).
Explanation:
To solve for q in the equation k = 4pq², we need to isolate the variable q. Here are the steps:
Divide both sides of the equation by 4p to get q² = k/(4p).
Take the square root of both sides to get q = ±√(k/(4p)).
Simplify the square root to q = ±(√k)/(√(4p)).
Simplify further to q = ±(√k)/(2√p).
Therefore, the correct answer is q = ±(√k)/(2√p). This corresponds to option C.
Which of the following functions has a domain of x ≥ 0?
linear
squaring
square root
cubing
Answer:
i think the answer is c.) which is square root
Step-by-step explanation:
Answer:
C. Square root.
Step-by-step explanation:
We have been given 4 choices. We are asked to determine, which of the given functions has a domain of x ≥ 0.
A. linear.
We know that linear function is in form [tex]y=mx+b[/tex], which is defined for all values of x, therefore, option A is not a correct choice.
B. Square
We know that a square function is in form [tex]y=x^2[/tex], which is defined for all values of x, therefore, option B is not a correct choice.
C. Square root.
We know that a square root function is in form [tex]y=\sqrt{x}[/tex]. We also know that a square root function is not defined for negative values of x, so a square root function is defined for all values of [tex]x\geq 0[/tex]. Therefore, option C is the correct choice.
D. Cube
We know that a cube function is in form [tex]y=x^3[/tex], which is defined for all values of x, therefore, option D is not a correct choice.
Using the figure below, what is the value of y?
A. 12
B. 48
C. 132
D. 180
Answer:
C. 132
Step-by-step explanation:
We assume all angle measures are in degrees. The vertical angles are equal in measure, so ...
4x = x +36
3x = 36
x = 12
x +36 = 48
y = 180 -48 = 132
The value of y is 132.
Cleo wants to join a gym. There is an initiation fee of $24.99, and each month of membership costs $12.50. If Cleo pays $174.99, how long will thos membership last ?
The points Q(-1,1),R(2,-3), and S(-1,-3) are the vertices of a triangle. Find the area of the triangle
The area of the triangle with points Q(-1,1),R(2,-3), and S(-1,-3) is equal to 6 square units.
In Mathematics and Geometry, the area of a triangle can be calculated by using the following mathematical equation (formula):
Area of triangle, A = 1/2 × b × h
Where:
b represent the base area.h represent the height.By substituting the given vertices into the formula for the area of a triangle with coordinates, we have the following;
[tex]A=\frac{1}{2} \times |x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|\\\\A=\frac{1}{2} \times |-1(-3 + 3) + 2(-3 - 1) + (-1)(1 +3)|\\\\A=\frac{1}{2} \times |0 -8 - 4|\\\\A=\frac{1}{2} \times |-12|[/tex]
Area of triangle = 1/2 × 12
Area of triangle = 6 square units.
In the game of roulette, a player can place a $8 bet on the number 33 and have a 1/38 probability of winning. If the metal ball lands on 33, the player gets to keep the $8 paid to play the game and the player is awarded an additional $280. Otherwise, the player is awarded nothing and the casino takes the player's $8. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose?The expected value is $? Round to the nearest cent as needed.The player would expect to lose about $? Round to the nearest cent as needed.
Answer:
expected value: -$0.21loss on 1000 plays: $210.53Step-by-step explanation:
The expected value is the sum of products of payoff and probability of that payoff:
-$8(37/38) +$288·(1/38) = $(-296 +288)/38 = -$8/38 ≈ -$0.21
In 1000 plays, the expected loss is ...
-$8000/38 ≈ $210.53
The expected loss per roulette game, when betting $8 on number 33, is approximately $.0526, which equates to an expected loss of about $52.63 after 1000 games.
Explanation:In the game of roulette, the player takes a risk by placing a bet on a specific outcome, in this case, the metal ball landing on the number 33. For this situation, we need to calculate the Expected Value, which is the long-term average of a random variable.
The player will either win $280 plus the original $8 bet, amounting to $288 or lose the $8 bet. The chance of winning is 1/38 and the chance of losing is 37/38. The expected value can be calculated as follows: (1/38) * $288 + (37/38) * -$8. This calculates to -$.0526. Therefore, each game, on average, the player loses about $.0526.
If you then multiply this average loss per game by the number of games played, in this case, 1000 games, you would find the total expected loss. So, -$. 0526 * 1000 = -$52.63. Therefore, if a player played this game 1000 times, they would expect to lose about $52.63.
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At a community college with five hundred students, 150 are English majors and 350 are math majors. If a simple random sample of fifty students was selected to represent the various majors proportionately and twenty English majors were chosen, how does this compare to how many English majors would have been chosen if the sample was created using stratified proportionate sampling?
A.)There should be fewer English majors in the stratified proportionate sample.
B.)There should be more English majors in the stratified proportionate sample.
C.)There will be the same number of English majors in the stratified proportionate sample.
D.)There is no way to tell how many English majors will be in the stratified proportionate sample.
the answer is "a" because If it was proportional out of 50 there would be 15 english majors.
Using stratified proportionate sampling out of 50 students, 15 English majors should have been chosen, fewer than the 20 selected in the simple random sample.
Explanation:To answer the question, we need to determine how many English majors would have been chosen if the sample was created using stratified proportionate sampling. In stratified proportionate sampling, the number of students selected from each group is proportional to their representation in the overall population.
Since there are 150 English majors out of 500 students, English majors make up 30% of the student body. When creating a sample of 50 students, 30% of this sample size should be English majors, which would be:
30% of 50 students = 0.3 x 50 = 15 English majors.
Since the simple random sample selected 20 English majors, and a stratified proportionate sample would have included only 15, the answer is:
A.) There should be fewer English majors in the stratified proportionate sample.
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Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 − 32x2 + 3 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection points. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down.(Enter your answer using interval notation.)
Answer:
a) The increasing intervals would be from -4 to 0 and 4 to infinity. The decreasing interval would just be from negative infinity to -4 and 0 to 4.
b) The local maximum comes at x = 0. The local minimums would be x = -4 and x = 4
c) The inflection points are x= +/-√16/3
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = x^4 - 32x^2 + 2
f'(x) = 4x^3 - 64x
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 4x^3 - 64x
0 = 4x^3 - 64x
0 = 4x(x + 4)(x - 4)
x = -4 OR x = 4 OR 0
Given the shape of a positive 4th power function function, we know that the first and last would be a minimums and the second would be a maximum.
As for the increasing, we know that a 4th power, positive function starts up and decreases to the local minimum. It also decreases after the local max. The rest of the time it would be increasing.
In order to find the inflection point, we take a derivative of the derivative and then solve for zero.
f'(x) = 4x^3 - 64x
f''(x) = 12x^2 - 64
0 = 12x^2 - 64
64 = 12x^2
16/3 = x^2
+/- √16/3 = x
-3/2 = x
Answer:
This is a problem where we need to analyse the function. To do so, we can recur to the applications of derivatives.
So, we have to derive the function first:
[tex]f(x)=x^{4}-32x^{2} +3\\f'(x)= 4x^{4-1} -32(2)x^{2-1} + 0\\f'(x) = 4x^{3} -64x[/tex]
To analyse the function, we need to determinate the intervals using critic points, which can be found making the function equal to zero and then factorize:
[tex]f'(x) = 4x^{3} -64x=0\\x(4x^{2} -64)=0\\[/tex]
Applying the null factor property, we can equal to zero both factors:
[tex]x = 0\\4x^{2} -64=0\\4x^{2} =64\\x^{2} = \frac{64}{4} =16\\x = ± 4[/tex].
So, there are three critic points: -4; 0 ; 4, which give us four intervals.
[tex](- \infty; -4], (-4;0],(0;4],(4;+\infty)\\[/tex].
Now, we have to evaluate each intervals, to know if they are increasing or decreasing. If the result of each evaluation results more than zero, then it's increasing, if results less than zero, it's decreasing.
So, the test values are -5 (1st interval), -1 (2nd interval), 1 (3rd interval), 5 (4th interval). As you can see, each value is included in one interval. The evaluation can be done just by replacing each value:
[tex]f'(-5) = 4(-5)^{3} -64(-5) = -180 <0\\f'(-1) = 4(-1)^{3} -64(-1) = 60>0\\f'(5) = 180>0\\f'(1) = -60<0[/tex]
Therefore, the increasing intervals of the function are [tex](-4;0],(4;+\infty)\\[/tex]. On the other hand, the decreasing intervals are [tex](- \infty; -4],(0;4],\\[/tex].
On the other hand, if the function change from negative to positive in c, then the function has a minimum located in (c ; f(c)). So, in -4 and 4, the function change from negative to positive (from decreasing to increasing), so the are minimums located in (-4;-253) and (4;-253). However, if the function change from positive to negative in c, then the functions has a maximum locate in (c ; f(c)). In this case, 0 changes from positive to negative. So, the maximum is located in (0; 3).
At last, the inflection points can be find using the second derivative criteria. First, we derive again the function, to find the second derivative, and then equal to zero to find inflexion points:
[tex]f"(x) = 12x^{2} -64=0\\12x^{2} =64\\x^{2} =\frac{64}{12} \\x=\sqrt{\frac{64}{12} } =±2.3[/tex]
Therefore, the inflexion points are located in -2.3 and +2.3. Next, we do the same process, we determine the intervals, then we evaluate each of them to find which interval is concave up and which is concave down.
Intervals: [tex](- \infty;-2.3);(-2.3;2.3);(2.3:+\infty)[/tex]
We can use -3, 0 and 3 to evaluate each interval:
Replacing this values in the second derivative expression ([tex]f"(x) = 12x^{2} -64[/tex]), we have:
[tex]f"(-3) = 12(-3)^{2} -64=44>0\\f"(0)=-64<0\\f"(3) = 12(3)^{2} -64=44>0[/tex]
So, positive results mean concave up, negative results mean concave down. Therefore, [tex](- \infty;-2.3);(2.3:+\infty)[/tex] are concave up, and (-2.3;2.3) is concave down.
Which of the following is the best estimate of the area of the irregular shape? HELP PLEASE!!
Answer:
The best estimate of the area of the irregular shape is [tex]19.5\ units^{2}[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
To know an estimate of the area of the figure calculate the area of the rectangle minus the squares marked with x
so
[tex]A=(8*6)-29=19\ units^{2}[/tex]
therefore
The best estimate of the area of the irregular shape is [tex]19.5\ units^{2}[/tex]
Answer:ITS NOT 19.5!!! ITS 15.5
Step-by-step explanation:
The length of the rectangle is 4ft greater than the width. If each dimesion is increased by 3,the new area will be 33 square feet long. Find the dimensions of the original rectangle
Answer:
Width is 2 feet and the length is 6 feet.
Step-by-step explanation:
The area of a rectangle is A = l*w. Here the length is 4 feet more than the width or 4 + w and the width is w. So the area is A = w(4+w) = 4w + w²
If the dimensions are changed then the expressions will change. The width is increased by 3 feet. This means the width w becomes w + 3. The length is increased by 3 feet. This means the length becomes 4 + w + 3 = 7 + w. So the area of the new triangle is A = (w+3)(7+w) = w² + 10w + 21.
The new area is 33 feet longer. We can add 33 to the original area then set them equal to each other and solve for w.
w² + 10w + 21 = 33+4w + w² Subtract w² from both sides.
10w + 21 = 33+4w Subtract 4w from both sides.
6w + 21 = 33 Subtract 21 from both sides.
6w = 12 Divide by 6.
w = 2 feet
The original width w is 2 feet. This means the original length which was 4 + w = 4 + 2 = 6 feet.
To solve the problem, set up two equations based on the given information, substituting the first equation into the second to solve for 'w' (width) and 'l' (length) - the original dimensions of the rectangle.
Explanation:To solve this problem, we'll first set up two equations based on the information provided in the question. Let's use 'w' to represent the width of the original rectangle and 'l' to represent its length. According to the problem, we know that:
The length of the rectangle is 4ft greater than its width. So, l = w + 4. If each dimension is increased by 3, the new area (length times width) is 33 square feet. So, (w+3) * (l+3) = 33.
Substitute the first equation (l = w + 4) into the second to find w and then l. This is the system of equations needed to find the original dimensions of the rectangle.
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For the given equation, find the center and radius of the circle x^2 + ( y + 5 )^2 = 25 . What point is the center at ?
Answer:
(0,-5)
Step-by-step explanation:
The vertex form of the equation of a circle is [tex](x-h)^2 + (y-k)^2 = r^2[/tex] where (h,k) is the center of the circle and r is the radius. This means that for the equation [tex]x^2 + (y+5)^2 = 25[/tex] the center is (0,-5).
Answer:
Center: ( − 5 , 2 )
Radius: 5
Step-by-step explanation:
on edge
(7Q) Solve the log .
Answer:
the answer is:
b. x=10^2
ANSWER
b. x=10²
EXPLANATION
The logarithmic equation is:
[tex] log(x) = 2[/tex]
Note that this is the common logarithm, so it has a base of 10.
[tex] log_{10}(x) = 2[/tex]
Take antilogarithm of both sides to base 10.
[tex] {10}^{ log_{10}(x) } = {10}^{2} [/tex]
This implies that,
[tex]x = {10}^{2} [/tex]
Determine the eccentricity, the type of conic, and the directrix for r=6/1+2cos theta.
Answer:
Option c
Step-by-step explanation:
The general polar form of the conic with cosine in the denominator is:
[tex]r=\frac{ep}{1+ecos(\theta)}[/tex]
Comparing the given equation (Denominator) with the general equation, we can write:
e = 2
This means eccentricity = 2. Since eccentricity is greater than 1, the given conic is a hyperbola.
The equation of directrix is x = p
Comparing the numerators of general and given equation, we can write:
ep = 6
Using the value of e, we get p = 3
Therefore, equation of directrix is x =3
Hence option c is the correct answer.
Use substitution to solve. 2x? = 5 + y 4y = -20 + 8x? Solve the first equation for y and substitute it into the second equation. The resulting equation is
Answer:
Infinite Solutions
Step-by-step explanation:
2x = 5 + y and 4y = -20 + 8x can be solved by substituting one equation into another to find the variables.
2x = 5 + y becomes y = 2x - 5. Substitute this expression into 4y = -20 + 8x.
4(2x - 5) = -20 + 8x
8x - 20 = -20 + 8x
8x - 8x - 20 = -20 + 8x - 8x
-20 = -20
This has infinite solutions since x eliminates and a true statement is left.
Answer:
infinite solutions.
Step-by-step explanation:
got it right on the assignment
8 inches of snow was predicted. 12 inches of snow fell. calculate the percent error
Answer:
33.333333333333%
Step-by-step explanation:
Percent error = V observed - V true
=8-12/12
=-33.333333333333%
=33.333333333333% error
A cargo truck weighs 8750 lb the weight limit for a certain bridge is 5 tons how many pounds of cargo can be added to the truck before the weight limit for the bridge
Answer:
1,250 lbs
Step-by-step explanation:
There are 2,000 in 1 ton, so 5 * 2,000 = 10,000 lbs weight limit for the bridge.
10,000-8750 = 1,250 lbs can be added to the truck before they reach the bridge weight limit.
Answer: 1250 pounds
There are 2000 pounds in one ton
Multiple 5 by 2000 and get 10000
Subtract that for 8570
Step-by-step explanation:
The polynomial f(x) has zeros at x=6−3i, 6+3i, and −1.
Which graph could be the graph of f(x)?
Answer:
It is the second graph.
Step-by-step explanation:
One zero is x = -1 so the graph will be curved (as it has degree 3) and will pass through the x axis at x = -1 and only at -1 because the other 2 zeroes are complex numbers.
Which unit is commonly used in both the metric and u.s system of units
Answer:
Step-by-step explanation:
Surely the units of time: minut, hour, second.
Answer:
The unit of time - seconds
Step-by-step explanation:
The metric system uses units such as meter, liter, and gram to measure length, liquid volume, and mass.
Whereas in the US system of units, units like feet, quarts, and ounces to measure these.
But 'seconds' the base unit of time, is the unit that is used in both the system of units.
Brian is having a baseball-shaped piñata at his birthday party. If the piñata has a diameter of 12 inches, approximately how many cubic inches of candy can it hold? (Use 3.14 for π.)
A. 150.72
B. 602.88
C. 7,234.56
D. 904.32
Answer:
Option D. [tex]904.32\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the sphere (a baseball-shaped piñata ) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=12/2=6\ in[/tex] -----> the radius is half the diameter
[tex]\pi=3.14[/tex]
substitute the values
[tex]V=\frac{4}{3}(3.14)(6)^{3}=904.32\ in^{3}[/tex]
HELP ASAP 23 POINTS
The sale price of a used car is $4,160 after a 35% discount. What is the original price of the car?
To find the original price, divide the sale price by 1 minus the discount rate:
4160 / (1- 0.35) = 4160 / 0.65 = 6400
The original price was $6,400
Help me ASAP!
What number could you put into the blank to make the value of this expression 6.93?
6.93⋅4.21 + 3.56____ + 4.21
A. −3.56
B. 3.56
C. 4.21
D. −4.21
Answer:
the answer is b
Step-by-step explanation:
There is no negative sign therefore d and a are not an option and yep ito b