Monday
The solution of 87e0.3x = 5918, to the nearest
thousandth, is
A. 0.583
B. 1.945
C. 4.220
D. 14.066
Answer:
\(D) ~ 14.066\)
Step-by-step explanation:
\(~~~~87e^{0.3x} = 5918\\\\\implies e^{0.3x} = \dfrac{5918}{87}\\\\\implies \ln\left(e^{0.3x} \right)=\ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x \ln e = \ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x = \ln \left( \dfrac{5918}{87} \right)\\\\\implies x = \dfrac{\ln \left( \dfrac{5918}{87} \right)}{0.3}\\\\\implies x \approx14.066\)
How can you turn any number into a science notation?
Please help me it would mean the world!
Answer/Step-by-step explanation:
To turn any number into a science notation is first write the non-zero digits, placing a decimal after the first non-zero digit. Then, you count the number of digits you need to move the beginning decimal to get to where your decimal is now. If you move the decimal to the left, then your power is positive.
[RevyBreeze]
Consider the 4-digit number abcd. Putting it in scientific notation is a matter of moving the (invisible) decimal point to the left until you have a number between 1 and 10, then multiplying this number by an appropriate power of 10, equal to the number of positions that the point was moved.
In this case,
abcd = abcd . = a . bcd × 10³
The number of underlined digits is the number of positions you have to move the decimal point. The number a . bcd is called the mantissa.
For a number already containing a decimal point, like abc . def, we do the same thing:
abc . def = a . bcdef × 10²
For a number smaller than 1, such as 0.000abcd, we have to move the decimal to the right:
0.000abcd = 0000a . bcd = a . bcd × 10⁻⁴
As mentioned earlier, the mantissa is typically supposed to be between 1 and 10, which means that if you start with a number larger than 1, that number in scientific notation will involve multiplication by a positive power of 10. On the other hand, if you start with a number smaller than 1, the power of 10 will be negative. You can see this is true for each of the examples I've used here.
Write an equation in slope-intercept form y = mx + b of a line with a slope of 3/4
and a y-intercept of -2. *
Answer:
y=3/4x-2
Step-by-step explanation:
How many positive integers between 1000 and 9999 inclusive are divisible by 5 and 7?
If a number is divisible by 5 and 7, then that number is divisible by LCM(5, 7) = 35. So count the multiples of 35 in the range.
Since
9999 = 35•285 + 24
we know there are 285 multiples of 35 among the positive integers 1-9999. We also have
1000 = 35•28 + 20
so there are 28 multiplies of 35 less than 1000.
Then there are 285 - 28 = 257 multiples of 35 in the given range.
Seventeen less than three times a number is less than four times the number decreased by nine.
Answer: x > -8
Step-by-step explanation:
3x - 17 < 4x - 9 subtract 3x from both sides, and add 9 to both sides
-3x + 9 < -3x + 9
0 - 8 < x + 0 Rewrite and reverse the sign to simplify
x > -8
tulong po please pang grade 7 po
Answer:
15+7+(-2)=22-2=20 hunx
1.)
\(13 + 29 \)
Add the numbers
Answer: 422.)
\( - 6 + 18\)
Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger
\( + (18) - 6\)
Subtract the numbers
Answer: 123.)
\(14 + ( - 8)\)
When there is an + in front of an expression in parentheses, the expression remains the same
\(14 - 8\)
Subtract the numbers
Answer: 64.)
\( - 11 + ( - 41)\)
When there is an + in front of an expression in parentheses, the expression remains the same
\( - 11 - 41\)
Calculate the difference
Answer: -525.)
\( - 51 + 51\)
The sum of two opposites equal 0
Answer: 0The Other Answer Is In The CommentLine l is parallel to line m. If the measure of <6 is 75o, what is the measure of <2?
Answer:
∠ 2 = 75°
Step-by-step explanation:
∠ 6 and ∠ 2 are corresponding angles and are congruent, thus
∠ 2 = ∠ 6 = 75°
Anna has a loyalty card good for a 7% discount at her local grocery store. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Anna should multiply the prices on the tags by 0.93 to find the price she would have to pay before tax in one step.
Given that Anna has a loyalty card good for a 7% discount at her local grocery store.
We have to find the number should she multiply the prices on the tags by to find the price she would have to pay, before tax
Anna should multiply the prices on the tags by 0.93 (which is 1 minus the 7% discount) to find the price she would have to pay before tax in one step.
For example, if an item costs $10 before the discount, Anna would pay $10 x 0.93 = $9.30 after the discount.
Hence, Anna should multiply the prices on the tags by 0.93 to find the price she would have to pay before tax in one step.
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Which of the following questions cannot be answered by a structural model? a) What is the direction and influence between latent variables? b) What is the nature of latent variables - continuous or non-continuous? c) What is the is the causal and effect relationship between latent variables? d) is the theory consistent with the hypothesized relationships?
Previous question
The question that cannot be answered by a structural model is "b) What is the nature of latent variables - continuous or non-continuous?"
A structural model, also known as a path analysis or causal model, is used to examine the relationships between variables and determine the causal effects between them. It allows researchers to understand the direction and influence between latent variables (a), the causal and effect relationship between latent variables (c), and whether the theory is consistent with the hypothesized relationships (d). However, the nature of latent variables, whether they are continuous or non-continuous, is not a question that can be answered by a structural model alone. The nature of variables, such as whether they are continuous or discrete, is determined based on the measurement scale and characteristics of the variables, which is typically addressed in the measurement model component of a structural equation model. To understand the nature of latent variables, additional analysis and considerations, such as examining the distribution of the observed indicators or conducting measurement validation, are required. Therefore, this question cannot be directly answered by a structural model.
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Write an exponential expression equivalent to 8^3 that has a base of 2.
Answer:
2^9
Step-by-step explanation:
8 is \(2^3\\\), so we can replace \(8^3\) for \((2^3)^3\)
Exponents separated by parenthesis, multiply.
So \((2^3)^3=2^9\)
Caroline works in a department store selling clothing. She makes a guaranteed salary
of $200 per week, but is paid a commision on top of her base salary equal to 25% of
her total sales for the week. How much would Caroline make in a week in which she
made $1575 in sales? How much would Caroline make in a week if she made a dollars
in sales?
The amount made by Caroline is $593.75 and 200 + 0.25x when she made $1574 and $x in sales respectively.
The total amount will be given by the formula using percentage -
Total amount = Base salary + 25% × her total sales
Keep the value in equation when she made $1575
Total amount = 200 + 25% × 1575
Total amount = 200 + 393.75
Total amount = $593.75
Keep the value in equation when she made $x
Total amount = 200 + 25% × x
Total amount = 200 + 0.25x
Hence, the earned amount is $593.75 and 200 + 0.25x.
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The complete question is -
Caroline works in a department store selling clothing. She makes a guaranteed salary of $200 per week, but is paid a commision on top of her base salary equal to 25% ofher total sales for the week. How much would Caroline make in a week in which she made $1575 in sales? How much would Caroline make in a week if she made x dollars in sales?
Help me asap!!!
Stem leaf
1
2, 4, 8
2
3,3,5
3
Mean=
2, 5
Median =
Mode =
Range =
-
-
A triangle has angles measuring 35º and 65º. What is the measure of the triangle's third
Answer:
Mean=30
Median=30.5
Mode=None
Range=11
Step-by-step explanation:
The mean is all the numbers added together then divided by how many numberes there are.
24+28+33+35=120
120/4=30
Median is the the middle of the data set when arranged least to greatest. Since its a even number the median will consist of two numbers. 28 and 33
28+33=61
61/2=30.5
Mode is the number most seen in the data set. Theyre all seen once so no mode
Range is the highest value subtracted from the lowest.
24-35=11
Nate plans to make a gift box for a necklace using the net shown below. The net is shown. How many square inches of cardboard does Nate need to make the box?
Answer:
16.2 inch²
Step-by-step explanation:
The attached picture consists of 4 equilateral triangles :
Height of equilateral triangle = 2.7 inches
Base of triangle = 3 inches
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 3 * 2.7
Area of triangle = 4.05 inch²
Number of square inches of cardboard needed :
Area of each triangle * number of Equilateral triangles
4 * 4.05 inch²
= 16.2 inch²
Jordan is 12 years older than Anna. The
sum of their ages is 50. Find the age of
each person.
First complete the equations below, where J stands for Jordan's age and A stands for Anna's age.
J = [?] + A; J + A = [ ]
Answer:
J=12 + 19 ; 31 + 19 =50
Step-by-step explanation:
50-12 =38
38÷2 =19
therefore 19+12 = 31yrs is Jodarns age
Anna is 19yrs
take you time. A school cafeteria serves sandwiches with different combinations of bread and deli meat. Bread choices include wheat bread and white bread, while deli meat choices include turkey, ham, and roast beef. The cafeteria has the same number of each sandwich combination.
Bryan wants to determine the probability of randomly selecting a turkey-on-wheat sandwich or a ham-on-wheat sandwich. He uses a simulation, where flipping a coin represents the bread choice and rolling a number cube represents the deli meat choice. Heads (H) on the coin will represent the wheat bread and tails (T) will represent white bread. Rolling a 1
or 2
on the number cube will represent turkey, rolling a 3
or 4
will represent ham, and rolling a 5
or 6
will represent roast beef. Bryan conducts 24
trials of the simulation and his results are shown in the table below.
A school cafeteria serves sandwiches with different combinations of bread and deli meat. Bread choices include wheat bread and white bread, while deli meat choices include turkey, ham, and roast beef. The cafeteria has the same number of each sandwich combination.
Bryan wants to determine the probability of randomly selecting a turkey-on-wheat sandwich or a ham-on-wheat sandwich. He uses a simulation, where flipping a coin represents the bread choice and rolling a number cube represents the deli meat choice. Heads (H) on the coin will represent the wheat bread and tails (T) will represent white bread. Rolling a 1
or 2
on the number cube will represent turkey, rolling a 3
or 4
will represent ham, and rolling a 5
or 6
will represent roast beef. Bryan conducts 24
Based on the results of this simulation, what is the probability that Bryan randomly selects a turkey-on-wheat sandwich or a ham-on-wheat sandwich?
had to take 2 pictures.
There is a \(0.54\) probability that Bryan will choose a ham- or turkey-on-wheat sandwich at random.
What is likelihood and how is it calculated?The probability measures the likelihood of an event happening. It gauges how likely an occurrence is. P(E) = Number of Favorable Results of Total Outcomes is the formula for probability.
Who founded probability?Blaise Pascal with Pierre de Fermat, two eminent mathematicians, exchanged correspondence in the middle of the 17th century that provided the groundwork for probability and altered how mathematicians and researchers perceived uncertainty and risk.
\(6+7=13\)
As a result, the following is the experimental likelihood of choosing a turkey or ham sandwich at random:
\(13+ 24=0.54\)
\(13/24 =0.54\)
According to the simulation's findings, there is a roughly \(0.54\) percent chance that Bryan will choose a turkey or ham sandwich at random.
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Translate
(x-2, y+D) then
rotate 90°
counterclockwise
(-1, 1)
Answer:
By taking (-1, 1) and translating it left by 2 and up by D we have (-3, 1+D)
Rotating 90° counterclockwise puts a negative on your y-coordinate and switches the x and y-coordinates.
Final answer:
(-1-D, -3)
Your well wisher :-)
What is the y- intercept of the line graphed?
Step-by-step explanation:
For a straight line y = mx + b, for every number on the x axis the equation of the line gives you the y value (mx+b) on the line. the y you get for x=0 is called the "y intercept" (m(0) + b).
Solve for x in x^3 = 64/27.
ANSWER
\(x\text{ = }\frac{4}{3}\)EXPLANATION
We have that:
\(x^3\text{ = }\frac{64}{27}\)64 and 27 are perfect cubes. This is because they are integers that can be gotten when another integer is raised to the third power or multiplies itself three times.
So, to get x, we can find the cube root of both sides:
\(\begin{gathered} \sqrt[3]{x^3}\text{ = }\sqrt[3]{\frac{64}{27}} \\ \Rightarrow\text{ x = }\sqrt[3]{\frac{4\cdot4\cdot4}{3\cdot3\cdot3}} \\ x\text{ = }\frac{4}{3} \end{gathered}\)That is the value of x.
Write a short account on farmer with the help of statement given, it says that the Indian farmer is born in dept lives in dept and die in dept.
plese help. need help.
Answer:
sir Malcolm darling
Step-by-step explanation:
he has said Indian farmer is born in dept lives in dept and die in dept.
Desperately need help
\(\begin{cases} x=-5\implies &x+5=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies \underline{a(x+5)(x-3)~~ = ~~\stackrel{0}{y}} \\\\\\ \stackrel{\textit{we also know that}}{P(0)=-30}\implies \begin{cases} x=0\\ y=-30 \end{cases}\implies a(0+5)(0-3)~~ = ~~-30 \\\\\\ a(5)(-3)=-30\implies -15a=-30\implies a=\cfrac{-30}{-15}\implies \boxed{a=2} \\\\[-0.35em] ~\dotfill\\\\ 2(x+5)(x-3)=y\implies 2(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \underline{2x^2+4x-30=y}\)
Check the picture below.
Solve for x. Round your answer to the nearest tenth and type it in the blank without units.
The opposite side of the right triangle (x) is approximately 6.888 inches long.
Right angle triangleTo solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:
sin(35) = opposite/12
To solve for the opposite, we can multiply both sides by 12:
opposite = 12 * sin(35)
sin(35) as approximately 0.574:
opposite = 12 * 0.574
opposite ≈ 6.888
Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 1/2
Step-by-step explanation:
Answer:
1 1/2
Step-by-step explanation:
3 x 1/2 = 1.5 or 1 1/2
$23,000; 4% decrease
Answer: 22,080
Step-by-step explanation:
if points C, D and E are on a line and CD=20 and CD=32, what are the possible value of DE?
The length of line segment DE is 10 units
A line CE is given, on which three points C, D and E lies in such a way that
length of line segment CD = 20
length of line segment CE = 32
We need to find the length of line segment DE
We know from the property of a straight line that, sum of all the length of line segments of a line is equal to the total length of the straight line
Therefore, CD + DE = CE
Putting values, we will get
20 + DE = 32
DE = 32 -20
DE = 10
Hence, the length of line segment DE is 10 units
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What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
Perform the below calculations and round to the correct number of decimals/sig. figs. a. 12.5849+2.4 b. 432.5−24.3984 c. 246×1.5 d. 974.59/14.2
He answers rounded to the correct number of decimals/sig. figs are:a. 15.0 b. 408.1 c. 369 d. 68.65
a. 12.5849+2.4Adding 12.5849 and 2.4 gives: 15. 0 (rounded to one decimal place) b. 432.5−24.3984Subtracting 24.3984 from 432.5 gives: 408. 1 (rounded to one decimal place) c. 246×1.5Multiplying 246 and 1.5 gives: 369 (no rounding required) d. 974.59/14.2Dividing 974.59 by 14.2 gives: 68.65 (rounded to two decimal places)
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Can someone pls help me
Ill give Brainly
NO BOTS OR ILL REPORT YOU
The range of the function RK) = R +26+1 İS {25, 643. What is the function's domain?
A. {5, 8}
B.
{-5, -8}
C.
{3,8}
D. {4,7}
E.
{4, 8}
Answer:
A
Step-by-step explanation:
hope this helped! please let me know if im wrong
Please help me this is my last question
Answer:
5.831
Step-by-step explanation:
Pythagoras says RS = √(5²+3²) = √34 ≈ 5.831
Answer:
RS ≈ 5.83 units
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Here RS is the hypotenuse and the legs have measure 5 and 3, thus
RS² = 5² + 3² = 25 + 9 = 34 ( take the square root of both sides )
RS = \(\sqrt{34}\) ≈ 5.83 ( to 3 significant figures )
At midnight the temperature is -12°F. At midday, the temperature is -2°F. By how much did the temperature rise?
Answer:
The temperature rised by 10 degrees F.
Step-by-step explanation: