For this problem we have a volume given V=0.950 L. And we want to estimate the volume in cm^3. So for this case we can use the following conversion rate:
\(1L=1000ml=1000\operatorname{cm}^3\)If we apply the conversion rate we got:
\(0.950L\cdot\frac{1000cm^3}{1L}=950\operatorname{cm}^3\)For this case is not possible convert the volume into a linear measure like cm for this reason the best answer for this case is 950cm^3.
Bob is doing a quality test on machine bots , he tested 24 bolts that he randomly found that 5 were defective. Based on bob’s results what is the expected number of bolts that will be defective if he tests 840 bolts?
Answer:
175
Step-by-step explanation:
5/24 = 0.208 percentage of defective bolts
scale up to 840 bolts by finding 20.8% of defective bolts
840*20.8 = 175
Simplify open parentheses x to the two thirds power close parentheses to the four fifths power
Answer:
x to the 8/15 power. When you have a power raised to another power, you multiply the exponents.
Step-by-step explanation:
Pls help!
Whoever answers in a few minutes with a clear answer will be marked brainiest!!!
Use exponent laws to write each expression with a positive power
Answer:
a. \(\tt \frac{1}{9}\)
b. \(\frac{1}{16}\)
c. 4
Step-by-step explanation:
\(\tt a. \:3^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:
\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)
\(\hrulefill\)
\(\tt b.\: -2^{-4}\)
We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:
\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)
\(\hrulefill\)
\(\tt c. \:(\frac{1}{2})^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:
\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)
Answer:
Step-by-step explanation:
(a) 3^-2 = 1/9
(b) (-2)^-4 = 1/(-2)^4 = 1/16
(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4
Use <, >, or = to compare the following decimals.
(a) 2.92 |?| 5.51
(b) 4.34 |?| 4.81
(c) 0.9 |?| 0.07
Answer:
A. < B. < C. >
Step-by-step explanation:
write the english phrase as an algebraic expression. Let x represent the number
The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7
Writing the english phrase as an algebraic expressionFrom the question, we have the following parameters that can be used in our computation:
seven less than four times a number
Represent the number with x
So:
four times a number means 4x
So, we have
seven less than 4x
seven less than means - 7
So, we have
4x - 7
Hence, the english phrase as an algebraic expression is 4x - 7
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Complete question
write the english phrase as an algebraic expression. Let x represent the number
Seven less than four times a number
Select all of the statements that are true for the given function.
A.The function is concave down on (negative infinity, 3)
B. The function is concave up on (negative infinity, 3)
C.The function is concave up on (3, infinity)
D.There is a maximum value at (4, 0)
E. There is a minimum value at (4, 0)
F.The function is decreasing on (3,4)
G. The function is decreasing on (negative infinity, 1)
H. The function is Increasing on (negative infinity, -1)
The statements that are true about the function are
A. The function is concave down for the interval (-∞, 3)
B. The function has a maximum value at (4, 0)
F. The function is decreasing on the interval (3, 4)
G. The function is decreasing on the interval (-∞, 1)
How to find the statements that are true for the function.From the graph, we seee that the function is concave down for the interval (-∞, 3)From the graph, we see that the function has a maximum value at (4, 0) since the tangent at that point is zero and it is concave down.From the graph, we see that the function is negative on the interval (3, 4) . So, the function is decreasing on the interval (3, 4)From the graph, we see that the function is negative for x < 1. So, the function is decreasing on the interval (-∞, 1)So, the statements that are true about the function are
A. The function is concave down for the interval (-∞, 3)
B. The function has a maximum value at (4, 0)
F. The function is decreasing on the interval (3, 4)
G. The function is decreasing on the interval (-∞, 1)
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Which is the equation of a line that has a slope of 4 and passes through point (1, 6)?
O y = 4x - 2
O y = 4x + 6
O y = 4x + 2
O y = 4x - 3
Answer:
y = 4x + 2
Step-by-step explanation:
You would use point slope to solve this. y-y = m(x-x) m represents the slope. With your numbers it would look like this ------> y-6 = 4(x-1)-----> distribute the 4 -----> y-6 = 4x - 4 ------> add six on both sides ------> they cancel out on the left ------> y = 4x + 2. Hope this helped!!!!
Find the surface area of the square pyramid shown below. Units2
Base is 8 and hight is 6
The surface area for a pyramid that is: Base 8 and height 6
Would be: 42.87
You work as a telemarketer and need to report to your boss the percentage of your weekly calls that result in sales
If 23 of your 177 calls last week resulted in sales, approximately what percentage should you report to your boss?
07%
O 8%
13%
15%
0 23%
Solve ( b + 3) ( b + 7) using the FOIL method. QUICK PLEASE !
Answer:
b² + 10b + 21
Step-by-step explanation:
First: b²
Outer: 7b
Inner: 3b
Last: 21
b² + 7b + 3b + 21 =
b² + 10b + 21
Answer:
\((b + 3)(b + 7) \\ b(b + 7) + 3(b + 7) \\ b {}^{2} + 7b + 3(b + 7) \\ b {}^{2} + 7b + 3b + 21 \\ b {}^{2} + 10b + 21\)
hope this will help u :)
If there are 71 apples and I eat 8 and a half how many are left
Answer:
\(63^2+16^2=x^2\)Explanation:
To determine the value of x, we have to apply the Pythagorean theorem which states that, in a right-angled triangle, the square on the hypotenuse is equal to the sum of squares of the other two sides. So we'll have;
\(63^2+16^2=x^2\)The slope of MN¯¯¯¯¯¯¯ is −3.
Which segments are parallel to MN¯¯¯¯¯¯¯?
Select each correct answer.
Responses
WX¯¯¯¯¯¯, where W is at (2, 6) and X is at (4, 0)
segment W X, , where , W, is at , begin ordered pair 2 comma 6 end ordered pair, and , X, is at , begin ordered pair 4 comma 0 end ordered pair
RS¯¯¯¯¯, where R is at (1, 3) and S is at (4, 2)
segment R S, , where , R, is at , begin ordered pair 1 comma 3 end ordered pair, and , S, is at , begin ordered pair 4 comma 2 end ordered pair
TU¯¯¯¯¯, where T is at (8, 1) and U is at (5, 10)
segment T U, , where , T , is at , begin ordered pair 8 comma 1 end ordered pair, and, U, is at , begin ordered pair 5 comma 10 end ordered pair
PQ¯¯¯¯¯, where P is at (5, 6) and Q is at (8, 7)
TU is parallel to MN.
Given that the slope of a line MN is -3, we need to find a line which is parallel to the MN.
So we know that the parallel lines are having equal slope so the line which is parallel to the MN it must have slope of -3.
Therefore,
Considering the line TU, find the slope = y₂-y₁ / x₂-x₁
= 10-1 / 5-8 = -9/3 = -3
Since, the slope of the line TU is -3 therefore we can say the lines TU and MN are parallel liens.
Hence TU is parallel to MN.
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Which function has a greater maximum?
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A coordinate plane. The x- and y-axes both scale by one. The graph is the function y equals g of x which is a parabola that opens down. The function increases through negative four, negative five and negative three, negative two. It has a maximum at negative two, one, then the function decreases through negative one, negative two and zero, negative five.
The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.
1. The given function is f(x) = \(-2(x+4)^2\) + 1.
2. To find the maximum of the function, we need to determine the vertex of the parabola.
3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.
4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.
5. The x-coordinate of the vertex is given by h = -4.
6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.
7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.
8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).
9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.
10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.
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Without multiplying, how can you tell which product will be greater, 3 x 4 or 6 x 2?
Answer:
we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
Step-by-step explanation:
We can use the commutative property of multiplication to see that 3 x 4 is the same as 4 x 3 and 6 x 2 is the same as 2 x 6. When multiplying two numbers, the order of the numbers does not affect the product. Therefore, we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
NEED MORE EXPLANATION?
The commutative property of multiplication states that when multiplying two numbers, the order of the numbers does not affect the product. This means that 3 x 4 is the same as 4 x 3, and 6 x 2 is the same as 2 x 6. We can use this property to compare 4 x 3 and 2 x 6, equal to 12. Therefore, we can see that both products are identical and neither is greater.
The GCF of a pair of numbers is 4 and the LCM is 2240. If one the numbers is 64, then what is the other number?
Suppose that, in 1994, Finland produced 1.916
1.916
million bikes. The total world production that year totaled 89
89
million bikes. What percent of the world's total production of bikes is contributed by Finland? Round your answer to the nearest tenth.
Answer:
percent of contribution on bike production by Finland= 1916000/89000000*100 = 2.153%
Step-by-step explanation:
calculate the density of an apple with a mass of 30 grams and a volume of 160ml
Answer:
Step-by-step explanation:
P=m/v
Density = mass / volume
30 is mass
160 is ml
P=30/160
0.1875
I need help with this
Answer:
90 degrees
Step-by-step explanation:
Hope thishelps. :) :D
Solve system by using substitution: 5x + 3y = -4
y - 2x = 6
Answer:
x = -11/3, y = -4/3
Step-by-step explanation:
\(y-2x=6\\y = 2x + 6\)
\(3(2x + 6) = -4\\6x + 18 = -4\\6x = -22\\x = -11/3\)
\(3y = -4\\y = -4/3\)
help plz I GIVE OUT BRAINIEST!
He ran 100 meters in 9.63 seconds, so we can set up the equation below and do these steps...
100 meters = 9.63 seconds
10.384 meters = 1 second (divide both sides by 9.63)
37382.4 meters = 3600 seconds (multiply both sides by 3600)
37382.4 meters = 1 hour
His speed is roughly 37382.4 meters per hour, which is less than 40234 meters/hr = 25 mi/hr
Answer: his speed is less than the speed limit 25 mphPlease help I will give brainliest
Step one answers:
1. Subtract
2. Distribute
3. Divide
4. Add
Step two answers:
1. Multiply by
2. Subtract
3. Divide by
4. Add
Step 3 answers:
1. Add
2. Subtract
3. Divide by
4. Multiply by
Step 4 answers
1. Multiply by
2. Add
3. Subtract
4. Divide by
Derrick and Janis are planting
150 strawberry plants.
The first day, Derrick plants 20% of
the strawberry plants. Janis plants
60% of the strawberry plants.
Eliezer
How many strawberry plants do Derrick and Janis plant on the first day?
Choose one option from each drop-down menu to answer the question.
On the first day, Derrick plants Choose... strawberry plants.
Janis plants Choose... strawberry plants.
Together, they plant a total of Choose... strawberry plants.
X
Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.
To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.
Derrick planted 20% of the 150 strawberry plants:
20% of 150 = (20/100) * 150 = 30 strawberry plants.
Janis planted 60% of the 150 strawberry plants:
60% of 150 = (60/100) * 150 = 90 strawberry plants.
Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.
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706.5 - 549.5 divided by 6 | SIMPLIFIEDDD giving 5O POINTS mark BRAINLIEST
Answer: 2.166 repeating
More info
Subtract 706.5 - 549.5
That equals 157.
Divide 157 by 6
You get 2.1666666667, or 2.166 repeating
Let g(x)=4x and h(x)=x^2-3. Find (g o h)(0)
Answer:
-12
Step-by-step explanation:
g(x) = 4x
h(x) = x^2 - 3
(g o h)(x) = g(h(x)) = g(x^2 - 3) = 4(x^2 - 3) = 4x^2 - 12
(g o h)(0) = 4(0)^2 - 12 = 0 - 12 = -12
Lines I and M are parallel.
What is the measure of angle 3?
Answer:
25
Step-by-step explanation:
By the vertical angle theorem, we can find that:
m∠1 = 85
By the corresponding angle theorem, we can find that:
m∠2 = 2x
By the alternate interior angle theorem, we can find that:
m∠3 = x - 10
We also know that angles 1, 2, and 3 are the measures of the angles of a triangle. So:
85 + 2x + (x - 10) = 180
Lets solve for x. Combine like terms.
75 + 3x = 180
Subtract 75 from both sides.
3x = 105
Divide both sides by 3.
x = 35
So now we know that x + 35. Knowing this, we can find the measure of angle 3 by plugging 35 for x in x - 10
m∠3 = 35 - 10 = 25
So the measure of angle 3 is 25.
I hope this helps. Happy studying.
find the square root of 576 and do it in factorizing method and your answer is going to be in index form
Answer:
24.
Step-by-step explanation:
Solution,
By Prime Factorisation method,
576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
576 = (2)² × (2)² × (2)² × (3)²
Now,
By Taking square roots on both the sides,
√576 = √ (2)² × (2)² × (2)² × (3)²
√576 = 2 × 2 × 2 × 3
√576 = 24.
In a right triangle, sin (x + 10)° = cos (4x - 4)°. Solve for x. Round your answer
to the nearest hundredth if necessary.
The value of variable x is,
⇒ x = 42
We have to given that;
In a right triangle,
⇒ sin (x + 10)° = cos (4x - 4)°
Now, We can simplify as;
⇒ sin (x + 10)° = cos (4x - 4)°
⇒ cos (90 - (x + 10))° = cos (x - 4)°
⇒ 90 - (x + 10) = x - 4
⇒ 90 - x - 10 = x - 4
⇒ 80 + 4 = 2x
⇒ 2x = 84
⇒ x = 42
Thus, The value of variable x is,
⇒ x = 42
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Determine ratio of A to B. Round as indicated.
A = 24.7% is the divorce rate in City A
B = 28.7% is the divorce rate in City B
(Round to the nearest hundredth when necessary.)
Select one:
O a. 0.09
O b. 8.61
OC. 0.86
O d. 1.16
Answer:
C
Step-by-step explanation:
After Clara ran 8 times around a square field , she covered a distance of 288km. Calculate the area of the field.
Answer:
81 km²
Step-by-step explanation:
so the perimeter of the field is 288 : 8 = 36 km
the perimeter of square is 4 time side
4s = 36
s = 36 : 4 = 9 km
Area = side x side = s²
A = 9² = 81 km²
9. Use the graph of the function f(x) = x³ – 7x² + 10x to
x`
identify its relative maximum and minimum.
da
-4
8
8
2
K
T
2
da
y
8
+w
8
maximum = 4.1, minimum = -8.2
maximum = 0.9, minimum = 3.8
The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:
Relative maximum: (0.88, 4.061).Relative minimum: (3.786, -8.209).What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing, that is, where the function curves down.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing, that is, where the function curves up.More can be learned about extremas of a function at https://brainly.com/question/9839310
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