We can rewrite the following logarithms to common logarithms as follows:
1. 2.3768
2. 3.8173
How to rewrite the logarithmsTo rewrite the logarithms in the common format we can use the following formula.
loga b = log10 b / log10 a
So, we have:
log5 46 = log10 46 / log10 5
Using a calculator, we find that log10 46 ≈ 1.66276 and log10 5 ≈ 0.69897, so:
log5 46 ≈ 1.66276 / 0.69897 ≈ 2.3768
For the second one, we can approach the problem this way:
loga b = log10 b / log10 a
So, we have:
log3 66 = log10 66 / log10 3
Using a calculator, we find that log10 66 ≈ 1.81954 and log10 3 ≈ 0.47712, so:
log3 66 ≈ 1.81954 / 0.47712 ≈ 3.8173
Learn more about common logarithms here:
https://brainly.com/question/30467932
#SPJ1
Can someone show me step by step of how to do this please and correctly
What is the area of the circle? Approximate using pi equals 22 over 7 and round to the nearest square yard.
a circle with radius labeled 18 yards
57 square yards
113 square yards
1,018 square yards
2,037 square yards
Points earned on this question: 0
5. What information would you need in order to determine the absolute data of a rock
sample?
Answer:
natural radioactive decay, examples: postassium and carbon. Three ways to classify their physical properties mineralogical composition, grain size, and texture
Step-by-step explanation:
The given equation shows a proportional relationship betweenthe variables r and s. Which expression is equivalent to 6r. R=10/3s
The equivalent expression for 6r in terms of s is 20s, which we obtain by substituting the value of r from the given equation and simplifying.
The given equation, r = (10/3)s, shows that there is a proportional relationship between the variables r and s. This means that when one variable changes, the other variable changes in direct proportion to it. In other words, if we increase r by a certain factor, s will increase by the same factor, and vice versa.
To find an expression that is equivalent to 6r, we can substitute the value of r from the given equation and simplify.
r = (10/3)s (given equation)
6r = 6(10/3)s (substitute 6r for r in the equation)
6r = 20s (simplify by multiplying 6 and 10/3)
Therefore, the expression that is equivalent to 6r in terms of s is 20s. This means that if we know the value of s, we can use this expression to find the value of 6r in a proportional relationship. For example, if s = 2, then 6r = 20s = 20(2) = 40.
To learn more about expression click on,
https://brainly.com/question/14551498
#SPJ4
i need help
please lol
Answer: Look below:
Step-by-step explanation:
when n = 1:
a1 = 4 x 3^(1-1) = 4 x 3^0 = 4 x 1 = 4
so a1 = 4
similarly working:
a2 = 4 x 3^1 = 12
a3 = 36
a4 = 108
a5 = 324
a6 = 972
1. Ignoring commission, 512 shares of Targa Resources (TRGP) were purchased for $2,790.40 at the close
for the week. Find the close price for the week. Then, find the quarterly dividend payment per share if
the annual dividend amount paid was $40.96.
The quarterly dividend payment per share based on the question above will be: $0.02.
The close price for the week will be: $5.45.
What is the dividend?For one to find the closing price for the week, we have to divide the total cost of the shares by using the number of shares that was bought so it will be:
Close price = Total cost / Number of shares
= $2,790.40 / 512
= $5.45
To know the quarterly dividend payment per share, we have to calculate the annual dividend payment per share before we can get it so it will be:
Annual dividend per share = Total annual dividend / Number of shares
= $40.96 / 512
= $0.08
From the question, the dividend was paid quarterly, we then divide the annual dividend per share by 4 so as to get the quarterly dividend per share:
Quarterly dividend per share = Annual dividend per share / 4
= $0.08 / 4
= $0.02
Hence the quarterly dividend payment per share will be: $0.02.
Learn more about dividend from
https://brainly.com/question/2960815
#SPJ1
See text below
Ignoring commission, 512 shares of Targa Resources (TRGP) were purchased for $2,790.40 at the clos for the week. Find the close price for the week. Then, find the quarterly dividend payment per share if the annual dividend amount paid was $40.96. (7pts)
EARNINGS
52-WEEK
TICK
VOL.
WEEK'S
LATEST
THIS NEXT DIV
High Low
Name
Sym.
100s
Yld.
P/E Last Chg.
Year
Year
Year
Amt
8.50
3.20
Targa Resources
TRGP
412574 1.8
PO
dd
+0.41
0.25
0.18
0.12
Write this trinomial in factored form.
9b^2 + 13b + 4
The factored form of the trinomial 9b² + 13b + 4 is ( 9b + 4 )( b + 1 ).
What is the factored form of the trinomial?Given the trinomial in the question:
9b² + 13b + 4
To factor the trinomial 9b² + 13b + 4, we need to find two binomials whose product equals 9b² + 13b + 4.
We can start by looking for two numbers that multiply to 9 × 4 = 36 and add up to 13. Those numbers are 9 and 4.
Now we need to use these numbers to factor the trinomial.
9b² + 4b + 9b + 4
Factor out the greatest common factor from each group
9b² + 9b + 4b + 4
9b( b + 1 ) + 4( b + 1 )
( 9b + 4 )( b + 1 )
Therefore, the factored form is ( 9b + 4 )( b + 1 ).
Learn more abou factorization here: https://brainly.com/question/3658321
#SPJ1
HELP PLEASE IF U DO I QILL GIVE 40 POINTS !!!!
Answer: c
Step-by-step explanation:
Question 19
By age 65 the number of Americans who experience hearing loss sufficient to affect communication is:
a. 1 in 2
b. 1 in 3
c. 1 in 4
d. 1 in 5
The number of Americans experience hearing loss sufficient to affect communication is: 1 in 4.
According to the National Institute on Deafness and Other Communication Disorders (NIDCD).
Approximately 1 in 4 adults in the United States aged 65 and older have hearing loss that is sufficient to affect communication.
This is based on data from a survey conducted by the NIDCD and the National Health Interview Survey.
NIDCD (National Institute on Deafness and Other Communication Disorders).
In the United States, 1 in 4 persons 65 and older suffer hearing loss severe enough to impair conversation.
This is based on information from surveys done by the National Health Interview Survey and the NIDCD.
The number of Americans who experience hearing loss sufficient to affect communication is: 1 in 4.
For similar questions on Loss
https://brainly.com/question/26483369
#SPJ11
Probabilities always lie between _ and _ when in decimal form.
Answer:
0 and 1
Step-by-step explanation:
hope this helps ;)
7 Find in degrees. 19 0 [?] degrees Round to the nearest hundredth.
Answer:
Θ ≈ 21.62°
Step-by-step explanation:
using the sine ratio in the right triangle
sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{19}[/tex] , then
Θ = [tex]sin^{-1}[/tex] ( [tex]\frac{7}{19}[/tex] ) ≈ 21.62° ( to the nearest hundredth )
answer these questions please
11. The area difference between them is 96 square units (192 - 96).
12. The trough stands 4 feet tall.
How to calculate areas?11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).
12. Let the height of the trough be h. The volume of the trough is given by the formula:
Volume = base area x height
Substituting the given values:
96 = 24h
Dividing both sides by 24:
h = 4
Therefore, the trough is 4 feet tall.
Find out more on areas here: https://brainly.com/question/25292087
#SPJ1
sorry to bother but can yall help me with this?
Find the surface of each pyramid
The surface area of the given pyramid is 203 in²
Calculating the surface area of a square PyramidFrom the question, we are to calculate the surface area of the given square pyramid
From the given information, the base of the pyramid is 7 in
and
The slant height of the pyramid is 11 in
The surface area of a pyramid can be calculated by using the formula
A = a² + 2al
Where A is the area of the pyramid
a is the side base
and l is the slant height
From the given information,
a = 7 in
and
l = 11 in
Thus,
Surface area = 7² + 2(7)(11)
Surface area = 49 + 154
Surface area = 203 in²
Hence,
The surface area is 203 in²
Learn more on Calculating the surface area of a Pyramid here: https://brainly.com/question/22744289
#SPJ1
The creator of two apps records the number of downloads over time a. From Week 6 to Week 8, which app has a greater average rate of change b. WHich app will eventually have a greater number of downloads? Explain.
Suppose a charity received a donation of 29.9 million. If this represents 43% of the charity's donated funds, what is the total amount of its donated funds?
Activity#2<br />Directions: Solve the following problems. Show your complete solutions. <br /><br />1. The diagonals of a Kite have lengths of 12 and 15 cm. Find the area of a Kite. <br />2. Given parallelogram ABCD, angle A and angle B measures (x+30) and (3x-90) respectively. Determine the measure of each angle. <br />3. One lateral face of the roof of the school building is trapezoid in shape. <br />One of the bases of this trapezoid is 6 m longer than the other base. Find<br />the length of the two bases if the median measures 19 m. <br />4. Given Isosceles Trapezoid CLUB, if m<C = 4x+3 and m<L = 5x-15, then find the value of x. <br />5. SPIN is a trapezoid with median AB. If the length of AB is 18cm and SP is 6, then find the length of NI. <br />
The length of NI is 8.5 cm.
Find the area of a kite by using formula?The area of a kite can be found using the formula: Area = (d1 * d2)/2, where d1 and d2 are the lengths of the diagonals.
Substituting the given values, we get:
Area = (12 * 15)/2
Area = 90 square cm
Therefore, the area of the kite is 90 square cm.
In a parallelogram, opposite angles are equal. So, we have:
Angle A = Angle C (opposite angles)
Angle B = Angle D (opposite angles)
Also, sum of adjacent angles in a parallelogram is 180 degrees. So, we have:
Angle A + Angle B = 180 degrees
(x+30) + (3x-90) = 180
4x - 60 = 180
4x = 240
x = 60
Therefore, Angle A = x + 30 = 90 degrees, and Angle B = 3x - 90 = 90 degrees.
Let the shorter base of the trapezoid be x. Then, the longer base is x+6 (as given in the problem).
The median of a trapezoid is the average of the two bases. So, we have:
Median = (x + x + 6)/2 = 19
2x + 6 = 38
2x = 32
x = 16
Therefore, the shorter base of the trapezoid is 16 m and the longer base is 22 m.
In an isosceles trapezoid, opposite angles are supplementary. So, we have:
Angle C + Angle L = 180 degrees
4x + 3 + 5x - 15 = 180
9x - 12 = 180
9x = 192
x = 21.33
Therefore, the value of x is 21.33.
In a trapezoid, the median is the average of the two bases. So, we have:
AB = 18 (given)
Median = (SP + NI)/2
But SP = NI (opposite sides of a trapezoid are equal)
So, Median = 2SP/2 = SP
Therefore, SP = Median = 19/2 = 9.5 cm
Also, AB = SP + NI
18 = 9.5 + NI
NI = 8.5 cm
Hence concluded that the length of NI is 8.5 cm.
Learn more about Area.
brainly.com/question/11952845
#SPJ11
Identify the equation of the line graphed below. Prove by converting! A. 3x + 5y = 5 B. 3x - 5y = 5 C. 5x + 3y = 3 D. 5x - 3y = 3
The equation of the line which is as graphed in the task content is; Choice D; 5x - 3y = 3.
Which equation represents the graphed line?By observation, two points on the given line are; (0, -1) and (3, 4).
On this note, the slope of the line can be determined as the rate of change in y to change in x as follows;
slope, m = (4 - (-1)) / (3-0)
Slope, m = 5 / 3.
Using the point-slope form equation; using the slope, m = 5/3 and point (3, 4).
y - 4 = 5/3 (x - 3)
3y - 12 = 5x - 15
Therefore, 5x - 3y = 3.
Ultimately, the equation of the line is; Choice D; 5x - 3y = 3.
Read more on equation of a line;
https://brainly.com/question/24907633
#SPJ1
The signal from a certain satellite takes 0.0054 approximately seconds to reach Earth. Write this number in scientific notation.
The solution is, 5.4 × 10⁻³ is the number in scientific notation.
Given:
The signal from a certain satellite takes approximately 0.0054 seconds to reach earth.
we will write the number in a scientific notation
The scientific notation is the number that is between 1 and 9 multiplied by 10 raised to an exponent
So, the given number will be:
0.0054
=54/10000
=54/10 * 1/1000
=5.4 × 10⁻³
Hence, The solution is, 5.4 × 10⁻³ is the number in scientific notation.
To learn more on number click:
brainly.com/question/17429689
#SPJ1
Suppose that we would like to determine the proportion of U.S. citizens who have brown hair. To estimate this, we randomly select 100 people and we find that 63 of them have brown hair. Construct a 95% confidence interval for the proportion of people with brown hair in the U.S.
we are 95% confident that the true proportion of people with brown hair in the U.S. falls between 0.532 and 0.728.
To construct a 95% confidence interval for the proportion of people with brown hair in the U.S., we can use the following formula:
[tex]Confidence Interval = p± z \sqrt{\frac{p(1-p)}{n} }[/tex]
where p is the proportion of people with brown hair in our sample, z is the critical value for a 95% confidence level (which is 1.96), and n is the sample size.
In this case, our sample proportion is , and our sample size is 100. Plugging these values into the formula, we get:
[tex]Confidence Interval = 0.63 ± 1.96\sqrt{\frac{0.63(1-0.63)}{100} }[/tex]
Simplifying the expression inside the square root, we get:
[tex]Confidence Interval= 0.63 ± 0.098[/tex]
Therefore, the 95% confidence interval for the proportion of people with brown hair in the U.S. is:
[tex]\frac{63}{100} = 0.63[/tex](0.532, 0.728)
This means that we are 95% confident that the true proportion of people with brown hair in the U.S. falls between 0.532 and 0.728.
To know more about "Confidence Interval" refer here:
https://brainly.com/question/29680703#
#SPJ11
Choose ALL answers that describe the quadrilateral below.
Answer:
parallelogram and rectangle
Step-by-step explanation:
the shape can’t be a rhombus or a square, because all sides of it are not the same length. it’s a parallelogram, because all 4 sides are parallel to each other, and it’s a rectangle, because it’s a parallelogram and all of its sides aren’t equal.
5- When the equation x²- 6x + 9 = 49 is transformed into the equation
(x - p)² = q, what are the values for p and q?
A. -3 and 40
B. -3 and 49
C. 3 and 40
D. 3 and 49
The values for p and q in the equation (x² - 6x + 9 = 49) transformed into (x - p)² = q are p = 3 and q = 40, so the answer is option A: -3 and 40.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of variables, constants, and mathematical operators such as addition, subtraction, multiplication, and division. Equations are used to solve problems and find unknown values of variables.
In the given question,
To transform the equation x² - 6x + 9 = 49 into the equation (x - p)² = q, we can first subtract 49 from both sides to get:
x² - 6x - 40 = 0
Next, we complete the square by adding (6/2)² = 9 to both sides:
x² - 6x + 9 - 40 + 9 = 0 + 9
(x - 3)² - 22 = 0
Now we can see that p = 3 and q = 22.
Therefore, the answer is D) 3 and 49.
To know more about equation and expression, visit:
https://brainly.com/question/10708415
#SPJ1
The slope at [1,pi/2] from -8x^3/siny
As a result, the function's slope at [1, pi/2] is [-24] as where the derivative of y with respect to x is denoted by y'.
what is slope ?The slope of a line in mathematics serves as a gauge for how steep it is. Between any two locations on the line, it is the proportion of the shift in the vertical motion (y) to the shift in the horizontal position (x). If we take into account two points on a line, (x1, y1) and (x2, y2), we can use the following formula to get the slope of the line: slope equals (y2 - y1)/. (x2 - x1) . Depending on the line's direction, the inclination can be zero, positive, or negative. A line with a positive slope is moving upward from left to right, whereas one with a negative slope is moving downward.
given
Finding the derivative of the given function with respect to x can be our first step. By applying the quotient rule, we get:
F(x) = 8x 3 sin (y)
[tex][(sin(y))(-24x2)] = f'(x) - (-8x^3) (cos(y))(y')] / (sin(y))^2[/tex]
where the derivative of y with respect to x is denoted by y'.
We can change x=1 and y=pi/2 in the equation above since we are interested in the slope at the position [1, pi/2].
Due to the fact that cos(pi/2) = 0 and sin(pi/2) = 1, we can write:
[tex]f'(1) = [(1)(-24) (-24) - (-8)(1)(0)(y')] / (1)^2[/tex]
f'(1) = -24 + 0
f'(1) = -24
As a result, the function's slope at [1, pi/2] is [-24] as where the derivative of y with respect to x is denoted by y'.
To know more about slope visit:
https://brainly.com/question/3605446
#SPJ1
a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 441 gram setting. is there sufficient evidence at the 0.02 level that the bags are overfilled? assume the population is normally distributed. state the null and alternative hypotheses for the above scenario.
Null hypothesis: Bags are filled correctly at 441 grams. Alternative hypothesis: Bags are overfilled (mean weight > 441 grams).
The null hypothesis (H0) is that the bags are filled correctly at the 441 gram setting, meaning the mean weight of the bags is 441 grams. The alternative hypothesis (Ha) is that the bags are overfilled, meaning the mean weight of the bags is greater than 441 grams. Thus, the hypotheses can be written as:
H0: μ = 441
Ha: μ > 441
To test these hypotheses, we can use a one-sample t-test with a significance level of 0.02. We will compare the sample mean weight of a random sample of bags to the population mean of 441 grams, using the t-test statistic and the corresponding p-value. If the p-value is less than 0.02, we can reject the null hypothesis and conclude that the bags are overfilled
Learn more about Null hypothesis
https://brainly.com/question/28920252
#SPJ4
Complete the table.
f(u) = u² + 2u + 3 f(u) U
-20 -10 0 10
Explain.
Answer: see below
Step-by-step explanation:
To complete the table, we need to evaluate the function f(u) = u² + 2u + 3 for the given values of u.
f(u) U
-20 (-20)² + 2(-20) + 3 = 403
-10 (-10)² + 2(-10) + 3 = 117
0 0² + 2(0) + 3 = 3
10 10² + 2(10) + 3 = 123
The table can be filled as follows:
f(u) U
403 -20
117 -10
3 0
123 10
The function f(u) = u² + 2u + 3 is a quadratic function, which has a parabolic shape. The coefficient of u² is positive, which means the parabola opens upward. The vertex of the parabola is at the point (-1, 2), which is the minimum point of the function.
As u increases or decreases from 0, the function increases. This is reflected in the table, where we see that the values of f(u) increase as u moves away from 0.
The table gives us a set of ordered pairs that represent the function f(u) for the given values of u. These ordered pairs can be plotted on a coordinate plane to draw the graph of the function.
Determina la altura del papalote con respecto al piso considerando los datos presentados.
The length of the string required to fly the kite at a height of 75 meters from the ground is 86.6 meters.
The sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. In this case, the opposite side is the height of the kite (75 m), and the hypotenuse is the length of the string that we need to find. We can set up an equation using the sine function:
sin(60 degrees) = opposite/hypotenuse
sin(60 degrees) = 75/hypotenuse
We can simplify the equation using the value of the sine of 60 degrees, which is √3/2.
√3/2 = 75/hypotenuse
To solve for the length of the string, we can cross-multiply and simplify:
hypotenuse = 75/(√3/2)
hypotenuse = (75*2)/√3
hypotenuse = 150/√3
hypotenuse = (150/√3) * (√3/√3) (to rationalize the denominator)
hypotenuse = (150√3)/3
hypotenuse = 50√3 meters = 86.6 meters.
To know more about length here
https://brainly.com/question/30100801
#SPJ4
Complete Question:
A kite is flying at a height of 75 m from the level ground, attached to a string inclined at 60 ∘ to the horizontal. Find the length of the string, assuming that there is no slack in it. [Take √ 3 =1.732].
How many milliliters is 0.005 L?A) 0.5 mL B) 5 mL C) 0.50 mL D) 0.000005 mL E) 200 mLAns: B Category: Medium Section: 1.9
After conversion, B) 5 mL is 0.005 L milliliters
The quantity given = 0.005 L
Using a unit conversion, the same property is stated in a different unit of measurement. Minutes can be used to measure time instead of hours, and feet, kilometres, or any other measurement method can be used to measure distance in place of miles.
To convert from litres to millilitres, it is required to multiply the quantity by 1000. This is because there are 1000 millilitres in one litre.
Therefore, converting the given value-
= 0.005 L x 1000 mL/L
= 5
Thus, the resultant value after conversion is 5mL
Read more about milliliters on:
https://brainly.com/question/28920784
#SPJ4
How many home runs did the player with 154 hits have?
How many was he predicted to have?
Does y=2(15)^x represent an exponential function? need ASAP
Answer:
Yes it is an exponential function
Step-by-step explanation:
The given equation can be written in the form y = abˣ , and:
a and b are constants (a = 2, b = 15)
a ≠ 0
b > 0
b ≠ 1
can someone do this i don’t understand
A good way to solve for lines and segments will be to know the equations and properties of the shapes that we are provided with.
How to solve for lines and segmentsTo get the answers for the lines and segment, you can begin by applying the following steps:
Identify the given information: Determine what information is provided about the line or segment. For example, you may be given the coordinates of two points on the line or segment, or the slope and y-intercept of a line.Find the equation: Use the information provided to find the equation of the line or segment. For a line, the general equation is y = mx + b, where m is the slope and b is the y-intercept. For a segment, you may need to use the distance formula or midpoint formula to find the endpoints, and then find the equation of the line that passes through those points.Check for intersections: If you need to find the intersection of two lines or segments, set their equations equal to each other and solve for the variables. If the lines or segments do not intersect, they are parallel or skew.Find lengths and angles: Once you have the equations and intersection points, you can use geometry and trigonometry to find lengths and angles of the lines and segments.Learn more about lines and segments here:
https://brainly.com/question/17374569
#SPJ1
consider the experiment of rolling a die whose sample space is (1,2,3,4,5,6). if two dice are rolled simultaneously, what is the probability that a prime number turns up on one of the dice and a composite number on the other?
Therefore, the probability of getting a prime number on one die and a composite number on the other die when rolling two dice simultaneously is 1/6 or approximately 0.1667.
What is probability?Probability theory is a branch of mathematics that deals with the study of random events and the analysis of their outcomes. It is widely used in statistics, science, engineering, finance, and many other fields to model and predict the behavior of complex systems.
Here,
There are a total of 6 x 6 = 36 possible outcomes when two dice are rolled simultaneously. We need to count the number of outcomes where one die shows a prime number and the other die shows a composite number.
Prime numbers in the sample space are 2, 3, and 5. Composite numbers are 4, 6, and any number greater than 1 that is not prime.
So, there are three possible outcomes where one die shows a prime number and the other die shows a 4 or 6:
(2, 4), (2, 6), (3, 4), (3, 6), (5, 4), (5, 6)
Therefore, there are a total of 6 possible outcomes where one die shows a prime number and the other die shows a composite number.
The probability of getting one prime number and one composite number on the two dice is:
P = number of favorable outcomes / total number of possible outcomes
P = 6 / 36
P = 1/6
To know more about probability,
https://brainly.com/question/30034780
#SPJ1