Jaden can fill 30 bowls with 200 mL of corn soup each.
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere.
We can start by converting the 6 L of soup to milliliters:
1 L = 1000 mL
6 L = 6 x 1000 mL = 6000 mL
Now we can divide the total amount of soup by the amount of soup each bowl can hold:
6000 mL ÷ 200 mL/bowl = 30 bowls
Therefore, Jaden can fill 30 bowls with 200 mL of corn soup each.
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Which ratio is equivalent to 7:3 ???
Answer:
14:6 is a ratio that would be equivalent to the ratio given.
I doubled 7 to 14, and 3 to 6. 21:12 or 28:18 could also be correct.
Final answer: 14:6
If there are answer choices that are not any of these ratios, I can help. xD
Planet A has a mass of 5*10^26 kilograms. Planet B has a mass of 2*10^28 kilograms. Choose which planet has the larger mass. Then fill in the blank with a number written in standard notation.
The planet that has the larger mass is the planet B and the measurements in standard forms are
Planet A = 500000000000000000000000000 kilograms Planet B = 20000000000000000000000000000 kilogramsHow to determine the planet that has the larger massFrom the question, we have the following parameters that can be used in our computation:
Planet A = 5*10^26 kilograms
Planet B = 2*10^28 kilograms
Rewrite the masses properly
So, we have
Planet A = 5*10²⁶ kilograms
Planet B = 2*10²⁸ kilograms
The exponent 28 is greater than the exponent 26
This means that
2*10²⁸ is greater than 5*10²⁶
So, we have
Planet B has the larger mass
When the measurements are expressed in standard forms, we have
Planet A = 500000000000000000000000000 kilograms
Planet B = 20000000000000000000000000000 kilograms
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A regular pentagon has an apothem measuring 20 cm and a perimeter of 145. 3 cm. A rectangular pentagon has an apothem measuring 20 centimeters and a perimeter of 145. 3 centimeters. What is the area of the pentagon? square centimeters.
The area of the pentagon is 1,453 squared centimeters.
Given information-
The length of the apothem of a regular pentagon is 20 cm.
The measure of the perimeter of a regular pentagon is 145.3 cm.
The length of the apothem of a rectangular pentagon is 20 cm.
The measure of the perimeter of a rectangular pentagon is 145.3 cm.
Pentagon-
Pentagon is the closed shaped polygon which has 5 sides. When these 5 sides are equal in length then the pentagon is called teh regular pentagon. When four of the sides of pentagon make a rectangle then the pentagon is called the rectangular pentagon.
Area of regular pentagon-Area of regular pentagon is half of the product of its apothem and perimeter. It can be given as,
\(A=\dfrac{1}{2} \times 20\times 145.3\\A=1453\)
Thus the area of the pentagon is 1,453 squared centimeters.
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Rewrite using a single exponent. 4^3 X 4^6
I’m confused please help
Answer:
Hmmmm
Step-by-step explanation:
write 10 rational numbers between -1/3 and 1/3
Step-by-step explanation:
-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4
3- Find all values of Z such that e² = 2+i√3
The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.
To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.
Given: 2 + i√3
To find r, we can use the modulus formula:
r = sqrt(a^2 + b^2)
= sqrt(2^2 + (√3)^2)
= sqrt(4 + 3)
= sqrt(7)
To find θ, we can use the argument formula:
θ = arctan(b/a)
= arctan(√3/2)
= π/3
So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).
Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.
ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik
Therefore, the values of Z are:
Z = ln(2 + i√3) + 2πik, where k is an integer.
The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.
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En la función de la imagen la ecuación de la asíntota vertical es___
The equation for the asymptote of the graphed function is x = 7
How to identify the asymptote?The asymptote is a endlessly tendency to a given value. A vertical one is a tendency to infinity.
Here we can see that there is a vertical asymoptote, notice that in one end the function tends to positive infinity and in the other it tends to negative infinity.
The equation of the line where the asymptote is, is:
x = 7
So that is the answer.
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You are exploring a dataset with two variables, length and width. If you created a scatter plot of the length and width variables, what aspect of the data would you be exploring?
1. The variation in the width variable
2. The covariation of length and width
3. Whether there are outliers in the length variable
4. The variation in the length variable
When You are exploring any type of dataset with two variables, having a length and a width. If you create a scatter plot of the given length and width, Then The covariation of length and width is the aspect of the data would you be exploring. Option 2 is Correct.
If you made a scatter plot of the length and width variables. In a statistical setting, two or more variables are said to be connected if their values fluctuate in such a way that as the value of one variable rises or falls, the value of the other variable does the same (although it may be in the opposite direction).
The term "simple correlation" describes a link between two variables, where the presence of one variable has an impact on the other. Without changing an independent variable, correlational research entails measuring two variables and analysing their connection. It is not clear what correlational research is. Hence, Option 2 is Correct.
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Hi ,I need help. pls?
the sizes in degrees of the interior angles of a pentagon are consecutive even numbers what is the largest of these angles
The largest angle in the pentagon with consecutive even interior angle sizes is 112 degrees.
Let's assume the smallest interior angle of the pentagon is x degrees. Since the angles are consecutive even numbers, the other four angles can be expressed as x + 2, x + 4, x + 6, and x + 8 degrees.
The sum of the interior angles of a pentagon can be calculated using the formula: (n - 2) * 180 degrees, where n is the number of sides of the polygon. For a pentagon, the sum of the interior angles is (5 - 2) * 180 = 3 * 180 = 540 degrees.
Now, let's add up the five angles of the pentagon:
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 540
Simplifying the equation:
5x + 20 = 540
5x = 540 - 20
5x = 520
x = 520 / 5
x = 104
So, the smallest interior angle, x, is 104 degrees. The largest interior angle is x + 8 = 104 + 8 = 112 degrees.
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Judah's football team lost 6 yards from their starting position and lost
another 14 yards. What numbers represent to TOTAL yards lost?
Answer:
20 yards lost
Step-by-step explanation:
you take away 6 yards then take away another 14 6 plus 14 is 20
Answer:
20
Step-by-step explanation:
;-;
happy
Which of the following is (are) the solution(s) to |7x+12|=12 ?
O A. x- 240
O B. x=-24
O c. x=-240
D. x = 0
Answer:
\(x=-\frac{24}{7}, x=0\)
Step-by-step explanation:
|7x+12|=12
If |u| = a, a > 0, then u = a or u = -a.
\(7x+12=12 \text { or } 7x+12=-12\)
Solve for 'x' on both equations:
Equation One:
\(7x+12=12\\\\7x+12-12=12-12\\\\7x=0\\\\7x/7=0/7\\\\\boxed{x=0}\)
Equation 2:
\(7x+12=-12\\\\7x+12-12=-12-12\\\\7x=-24\\\\7x/7=-24/7\\\\\boxed{x=-\frac{24}{7}}\)
Therefore:
\(|7x+12|=12\\\\\boxed{x=-\frac{24}{7}, x=0}\)
which of these government programs encourage hygiene practices
A. transportation regulations to prevent overcrowding
B. vaccination programs
C. cancer research
D. anti-obesity campaigns
Government programs help to protect citizens from possible hazards
exposure.
The government program that encourage hygiene practices is A.
Transportation regulations to prevent overcrowding.
Reasons:
Hygiene practices which include mainly cleanliness measures, meant to
keep a person healthy as well as to prevent contraction of disease.
Government programs such as stipulating social distancing rules reduces
airborne diseases, and other contagious diseases, and such programs are
useful as part of transport regulations.
Therefore, the government program that encourage hygiene practice
transport regulations to prevent overcrowding.
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Which phrase is represented by an expression that uses a multiplication symbol?
A. shared equally among
B. increased by
C. the product of
D. the quotient of
Answer:
Product of
Step-by-step explanation:
Product = X
Answer:
C. the product of
Step-by-step explanation:
A. "shared equally among" indicates division (ex. 16 apples are shared equally among 4 people ⇒ 16÷4)
B. "increased by" indicates addition (ex. the number of apples, 16, increased by 2 ⇒ 16+2)
C. "the product of" indicates multiplication (ex. the product of 5 and 6 ⇒ 5×6)
D. "the quotient of" indicates division (ex. the quotient of 40 and 10 ⇒ 40÷10)
I hope this helps!
A 1000kg car drives around a flat horizontal circular asphalt track at 30 m/s. the radius, r, of the circular track is 120 m. how much force is required to make the car turn in a circle of this radius?
The force required to make the car turn in a circle of radius 120 m is 7500 N (Newtons).
To calculate the force required to make the car turn in a circle of the given radius, we need to find the centripetal force. The formula for centripetal force is:
F_c = m * a_c
Where F_c is the centripetal force, m is the mass of the car (1000 kg), and a_c is the centripetal acceleration.
To find the centripetal acceleration, use the formula:
a_c = v^2 / r
Where v is the speed of the car (30 m/s) and r is the radius of the circular track (120 m).
Step 1: Calculate centripetal acceleration:
a_c = (30 m/s)^2 / 120 m
a_c = 900 m^2/s^2 / 120 m
a_c = 7.5 m/s^2
Step 2: Calculate centripetal force:
F_c = 1000 kg * 7.5 m/s^2
F_c = 7500 N
So, the force required to make the car turn in a circle of radius 120 m is 7500 N (Newtons).
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A right triangle has a hypotenuse of 26 units. If one leg is 4 more than twice the other, what is the sum of the lengths of the legs, in units
After solving the quadratic equation, the sum of the lengths of the legs is 11 + (2 x 11 + 4) = 11 + 26 = 37 units.
Let's assume that one leg of the right triangle is x units. According to the problem, the other leg is 4 more than twice the length of x, which can be represented as 2x + 4 units.
Using the Pythagorean theorem, we can set up the equation:
\(x^2 + (2x + 4)^2 = 26^2\)
Expanding and simplifying the equation:
\(x^2 + 4x^2 + 16x + 16 = 676\)
\(5x^2 + 16x - 660 = 0\)
We can now solve this quadratic equation to find the value of x. By summing the lengths of the legs (x + 2x + 4), we can determine the final answer.
After solving the quadratic equation, we find two possible solutions: x = 11 and x = -12. Since the lengths of the sides cannot be negative, we consider x = 11 as the valid solution.
Therefore, the sum of the lengths of the legs is 11 + (2 x 11 + 4) = 11 + 26 = 37 units.
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Graph each set of integers on a number line
(-5, -1, 10, -9
Answer:
65÷5(18-5)
=65÷5×13
=13×13
=169
in a one-sample chi-square test, if your respondents are distributed very unequally across the levels of your variable, your chi-square value will be: a. high b. low c. 0 d. 1
The correct answer is a. high. In a one-sample chi-square test, the observed frequencies of the variable being studied are compared to the expected frequencies assuming a particular distribution or hypothesis.
The chi-square test statistic measures the difference between the observed and expected frequencies and determines whether this difference is statistically significant.
If the respondents are distributed very unequally across the levels of the variable being studied, the observed frequencies will be very different from the expected frequencies. This will result in a large difference between the observed and expected frequencies, leading to a high value for the chi-square test statistic.
The chi-square value is calculated by summing the squared differences between the observed and expected frequencies, divided by the expected frequencies. If the respondents are distributed very unequally across the levels of the variable being studied, the expected frequencies will be very different from the observed frequencies, resulting in a high value for the chi-square test statistic.
Therefore, in a one-sample chi-square test, if your respondents are distributed very unequally across the levels of your variable, your chi-square value will be high.
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A store is selling 14 guitars for $240 each, 3 for
$550 each, and 6 for $300 each. What is the
mean price of the guitars?
Answer:
363
Step-by-step explanation:
550+240+300=1,090 1,090÷3=363.3
solve the equation by factoring. check your solution. if there are multiple solutions, list the solutions from least to greatest separated by a comma. 27 x 2^5
The Solutions of the equation 27x² + 5 = 48x are x = 1/9 , x = 5/3 . .
In the question ,
it is given that ,
the equation is 27x² + 5 = 48x ,
we have to find the solution for it ,
27x² + 5 = 48x
rewriting it , we get ,
27x² - 48x + 5 = 0
27x² - 45x + 5 = 0
27x² - 3x - 45x + 5 = 0
Simplifying further , we get ,
3x(9x - 1) -5(9x - 1) = 0
taking (9x-1) common from both the terms ,
(9x - 1)(3x - 5) = 0
So , either (9x - 1) = 0 or (3x - 5) = 0
x = 1/9 or x = 5/3
Therefore , the solution of the given equation are x = 1/9 , x = 5/3 .
The given question is incomplete , the complete question is
Solve the equation by factoring. check your solution. if there are multiple solutions, list the solutions from least to greatest separated by a comma.
27x² + 5 = 48x .
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Find the slope of the line through the points (3,-4) and(-5,2)
Use the slope formula:-
\(\displaystyle\frac{y_2-y_1}{x_2-x_1}\)
Plug in the values:-
\(\displaystyle\frac{2-(-4)}{-5-3}\)
\(\displaystyle\frac{2+4}{-8} =\frac{6}{-8} =-\frac{6}{8}\)
Reduce the fraction by dividing the top & bottom by 2:-
\(-\displaystyle\frac{3}{4}\)
\(\uparrow\sf{Slope}\)note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Hint: You won't flip the sign in every problem. ONLY FUP it when you or by a 9 - 2x < 6x - 15 Solutions You solve and graph these: 3 - 8x -29 Solutions 1x + 2x -7 «6 Solutions 3X-P66 x=4 x=2 free T XCH
You only flip the inequality sign when you multiply or divide both sides by a negative number.
================================================
Problem 1
\(3 - 8x \ge -29\\\\-8x \ge -29-3\\\\-8x \ge -32\\\\x \le \frac{-32}{-8} \ \text{ inequality sign flip}\\\\x \le 4\)
The inequality sign flip happens because we divided both sides by -8.
The graph will have a closed circle at 4 with shading to the left.
Three solutions are x = 0, x = 1, x = 2. You can pick any three numbers you want as long as they are 4 or smaller.
================================================
Problem 2
\(1x+2x-7 < 6\\\\3x-7 < 6\\\\3x < 6+7\\\\3x < 13\\\\x < \frac{13}{3}\\\\x < 4 \frac{1}{3}\)
The graph will have an open circle at 13/3 = 4&1/3 = 4.333 approx. The shading is to the left. No inequality sign flip happens because we divided both sides by a positive number.
Your choice of three solutions is correct. You can pick anything smaller than 4.3333
================================================
Problem 3
\(9-2x \le 6x-15\\\\-2x-6x \le -15-9\\\\-8x \le -24\\\\x \ge \frac{-24}{-8} \ \text{ inequality sign flip}\\\\x \ge 3\)
The solution set is any value 3 or larger. Three solutions are x = 5, x = 6 and x = 7.
The graph has a closed circle at 3 on the number line. The shading is to the right.
Solve the equation. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.)
7x + 1
_____=1/2
16
Answer: 1
Step-by-step explanation:
16 * 1/2 = 8
7x + 1 = 8
7x = 7
x = 1
Answer:
x = 1
Step-by-step explanation:
\(\frac { 7 x + 1 } { 16 } = \frac { 1 } { 2 }\\7x+1=\frac{16}{2} \\7x+1=8 \\7x=8-1 \\7x = 7\\x = \frac{7}{7} \\\bigstar \; \boxed{x = 1}\)
Hope it helps ⚜
In a bag full of small marbles, 1/4 of the marbles are green 1/8 of the marbles are blue and 1/12 of the marbles are
yellow The remaining 26 marbles are white How many marbles are blue?
blue marbles
Step-by-step explanation:
white=26
1/4+1/8+1/12=6/24+3/24+2/24=11/24=(green,blue and yellow marbles)
24-11=13/24=white
26/13=2=1/24
blue=3/24
2.3=6
answer 6
neli has 3 partically full cans of of white paint.They contain 1/3 gallon,1/5 gallon, and 1/2 gallon of paint.about how much paint does neli have in all
options
^^^^^^^^
Less than 1 1/2 gallons.
More than 2 gallons.
Between 1 1/2 gallons and 2 gallons
(which one?)
(help pls)
Answer:
less than 1 and 1/2
Step-by-step explanation:
1/3 + 1/5 + 1/2 = 31/30 which is also equal to 1 1/30
Answer:so wut the answer?
Step-by-step explanation:im dum i dont know
5. Classify the number -61.
Answer: integers
Step-by-step explanation:
Integers can be whole numbers or they can be whole numbers with a negative signs in front of them. Individuals often refer to integers as the positive and negative numbers. Integers are -4, -3, -2, -1, 0, 1, 2, 3, 4 and so on.
Pippa owns a snack bar.
She uses
of a kilogram of spread each day.
Spread costs £3.20 for a 1 kilogram tub and £6.15 for a 2 kilogram tub.
Pippa buys enough spread to last for 14 days.
What is the lowest price Pippa can buy this spread for?
Answer:
£43.05 (I believe, refer to step-by-step explanation.)
Step-by-step explanation:
Let's compare both of these tubs if we were to buy either of them for 14 days.
Starting with the 1 kilogram tub we need to do the calculation:
£3.20 × 14 = £44.80
(Type 3.2×14 into your calculator or write on paper this way to calculate.)
Now let's do the 2 kilogram tub.
£6.15 × 7 = £43.05
(Type 6.15×7 into your calculator or write on paper this way to calculate.)
The reason why I have put 7 instead of 14 is because it is 2 kilograms. Since Pippa uses 1 kilogram per day, you only need to buy 7. 2 × 7 = 14
So comparing either of these prices, buying 7 2-kilogram tubs is much cheaper compared to the 14 1-kilogram tubs.
can someone please explain this
Answer:
D) 70 degrees
Step-by-step explanation:
A triangle angle's has a total of 180 degrees
180 - 40 = 140
140/2 = 70 (the other 2 angles are equvilent angles)
Brainly plz :)
Answer:
answer below
Step-by-step explanation:
every triangle has angle that, added together, equal 180 degrees.
if the given angle is 40 and the red lines tell you the sides are equal in length (both lines have only one red line so they are the same.), calculate the angles. (hint they are both the same amount of degrees.)
My process:
180-40=140
?+?=140
70+70=140
solution= 140 degrees
3. Kyle starts with $15.00 and saves $3.50
each day. What expression represents
the total amount Kyle saves?
A $3.50
B $15.00
C 3.5t + 15, where t is the number
of days
D 15t + 3.5, where t is the number
of days
Answer:
C 3.5t + 15, where t is the number
of days