The product of a number m and 1.7 is 6.63. What is the value of m? Drag and drop the correct number into the box so that the equation is true.
When the product of a number m and 1.7 is 6.63 the required value of m is 3.9
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given statement is,
The product of a number m and 1.7 is 6.63
Thus, converting it into numerical form we get,
1.7m = 6.63
Dividing both the side by 1.7 we get,
1.7m/1.7 = 6.63/1.7
Solving we get,
m = 3.9
this is the required value of m.
Thus, when the product of a number m and 1.7 is 6.63 the required value of m is 3.9
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Brianna can use the equation y = 5x to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked.
How many hours did Brianna work if she was paid $63.50?
Therefore , the solution of the given problem of equation comes out to be Brianna put in x = 12.70 hours of labor.
What is an equation?Variable words are commonly used in complex algorithms to prove consistency between two contradictory statements. Academic expressions called equations are used to show the equality of various academic numbers. Instead of a single equation that splits 12 into two parts that can be used with data from y + 7, the normalization process in this case produces b + 7.
Here,
The equation y = 5x, where x is the number of hours Brianna labored, tells us how much she earned.
In addition, we know that she received $63.50.
Therefore, we can change y to equal $63.50 in the calculation and
find x:
=> $63.50 = 5x
When we multiply both parts by 5, we get:
=> x = $63.50 / 5
=> x = $12.70
Thus, Brianna put in x = 12.70 hours of labor.
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what is the total surface area of a cylinder with a base of 11m and a height of 7m
Answer:
V = 1692.46 m3
Step-by-step explanation:
V = π· r2· h
V = π· 72· 11
V = 1692.46 m3
Answer:
Step-by-step explanation:
A=2*π*r*h+2*π*r^2 ( This is the formula for surface area of cylinder )
As given
base = 11m so we have to get the radius = 11/2 = 5.5m
height=7m
now putt in formula, we get
=2*π·*(5.5)*(7)+2*π*(5.5)^2
=431.96899m^2
need help asap!!!
Find the mean of 24, 14, 36, 15, 19. Round to the nearest tenth if necessary.
Answer:
The answer would be 92.8 but since we're rounding it'll be 90
Step-by-step explanation:
If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
If+you+invest+$100+at+an+interest+rate+of+15%,+how+much+will+you+have+at+the+end+of+eight+years?
Answer:
$305.9022863 or $305.90 (rounded to 2 decimal places)
Step-by-step explanation:
It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula
A= P(1+R)^n
A= the total amount P=Initial amount R= rate n=time period
P=$100 R=15% or 0.15(decimal) n=8 (years)
A= 100 (1.15)^8
A= 100(3.059022863)
A=305.9022863
The amount you will have after 8 years is $220
Calculating simple interestThe formula for calculating simple interest is expressed as:
SI =PRT
P is the principal = $100
T is the time = 8 years
R is the rate. = 15%
SI = 100 * 8 * 0.15
SI = $120
Amount after 8years = $100 + $120
Amount after 8years = $220
Hence the amount you will have after 8 years is $220
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so would it be one solution, no solution or infinite solution?
Answer:
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. ... Note that we have variables on both sides of the equation.
Step-by-step explanation:
Answer:
Do you have a picture or the graph or equation? Also if this helps, I included a picture with an example of solutions on graphs. If you have any further questions feel free to ask me! (:
solve for a side in right triangles
Answer:
? =8.77
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite side/ hypotenuse
sin 20 = 3 / ?
? = 3/ sin 20
? = 8.7714132
To the nearest hundredth
? =8.77
John's son will start college in 10 years. John estimated a today's value of funds to finance college education of his son as $196,000. Assume that after-tax rate of return that John is able to earn from his investment is 8.65 percent compounded annually. He does not have this required amount now. Instead, he is going to invest equal amounts each year at the beginning of the year until his son starts college. Compute the annual beginning of-the-year payment that is necessary to fund the estimation of college costs. (Please use annual compounding, not simplifying average calculations).
John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.
To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.
The present value of an annuity formula is given by:
P = A * [(1 - (1 + r)^(-n)) / r],
where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.
In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:
196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].
Simplifying the expression inside the brackets:
196,000 = A * (1 - 0.469091).
196,000 = A * 0.530909.
Dividing both sides by 0.530909:
A = 196,000 / 0.530909.
A ≈ 369,238.68.
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what is the circumference for something with a diameter of 5 inches
Answer:
15.7
Step-by-step explanation:
5 * 3.14 = 15.7
Answer:
Below
Step-by-step explanation:
CIRCUMFERENCE of a CIRCLE is given by : pi * d
Circumference = pi * 5 in = 15.7 inches (Don't forget UNITS !!)
A six faced dice is rolled 6 times. Find the probability of getting at LEAST one 3.
Answer:
it's a 1/6 chance because it's a 6 faced dice
Mrs. Cole has to choose two pieces of fruit for her lunch. If she randomly takes two pieces of fruit from a bowl of 8 oranges and 8 apples, what is the probability she will choose two apples? (Mrs. Cole does not put back the first piece of fruit before she takes the second piece of fruit) P(apple, apple)
Answer:
2/16 I think
Step-by-step explanation:
if she only wants two apples and there is a total of 16 peices of fruit in the bowl she has a 2/16 chance she will get an apple
The probability she will choose two apples is 7/30.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Total Apple= 8
Total Oranges= 8
So, on the first pick the probability of getting Apple
= 8/16
Now, in second pick the number of apple remained = 7
So, the probability of getting apples on second pick
= 7/ 15
So, the probability she will choose two apples
= 8/16 x 7/15
= 7/30.
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question is linked below please helpp
Answer:
Step-by-step explanation:
(3x + 4)(5x - 2)(4x - 3) = 60x^3 + 11x^2 - 74x + 24 =>
a = 60
b = 11
c = -74
d = 24
In a one-way ANOVA situation, if the overall F value is statistically significant, then you know that all of the means are significantly different from one another (T/F)?
It is true that in a one-way ANOVA situation, if the overall F value is statistically significant, then you know that all of the means are significantly different from one another.
ANOVA, which represents the analysis of variance, is a statistical test used to examine the distinction between the means of more than two groups.
One independent variable is used in a one-way ANOVA, while two independent variables are used in a two-way ANOVA.
In a one-way ANOVA scenario, the overall F value must be statistically significant for more than two of the means to be significantly different.
thus we can say that the given statement is true.
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How many solutions does the system have?
2y = 4x + 6
y=2x + 6
Choose 1 answer:
A. Exactly one solution
B. No solutions
C. Infinitely many solutions
Answer:
the answer should be no solution.
find the exact values of the sine, cosine, and tangent of the angle. 255° = 300° − 45°
The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.
To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.
By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.
We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.
Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.
For 45°:
sin(45°) = cos(45°) = 1/√2
tan(45°) = 1
Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.
Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.
Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.
Therefore, for the angle 255°:
sin(255°) = -1/√2
cos(255°) = 1/√2
tan(255°) = -1
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factor the expression: -45x +40 expand the expression: 4w + 9( -6 - 3w)
Answer:
\(\large \boxed{\mathrm{view \ explanation}}\)
Step-by-step explanation:
-45x + 40
Factor out 5 from the expression.
5(-9x) + 5(8)
Take 5 as a common factor.
5(-9x + 8)
4w + 9( -6 - 3w)
Expand brackets.
4w + 9(-6) + 9(-3w)
4w - 54 - 27w
Combine like terms.
4w - 27w - 54
-23w - 54
Answer:
Factor the expression
\( - 45x + 40 \\ = - 5(9x + 8)\)
Expand the expression
\(4w + 9( - 6 - 3w) \\ 4w - 54 - 27w \\ = - 23w - 54\)
hope this helps
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A post-hoc test is warranted when:A) the F is significant and we have more than two groups.B) we fail to reject the null hypothesis in an ANOVA.C) we reject the null hypothesis when performing an independent-groups t test.D) we have an a priori prediction about which group means will differ.
In statistics, a post-hoc test is a follow-up statistical test that is performed after obtaining a significant result in an ANOVA or a similar test. A post-hoc test is warranted when the F is significant and we have more than two groups.
Post-hoc tests are used to determine which specific groups are significantly different from each other, and to identify the direction of those differences.
In the given options, option A is correct. A post-hoc test is warranted when the F is significant and we have more than two groups. This is because the ANOVA only tells us whether there are differences among the groups, but it does not tell us which specific groups are different from each other. In order to determine the differences between the groups, we need to perform a post-hoc test.
Option B is incorrect. If we fail to reject the null hypothesis in an ANOVA, then there is no need for a post-hoc test, because we have not found any significant differences among the groups.
Option C is also incorrect. If we reject the null hypothesis in an independent-groups t test, then we have already found significant differences between two groups, and there is no need for a post-hoc test.
Option D is also incorrect. An a priori prediction is made before the experiment is conducted, and it is used to determine which statistical test to use. A post-hoc test, on the other hand, is used after the experiment is conducted and a significant result is obtained.
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the data set in ceosal2 contains information on chief executive officers for u.s. corporations. the variable salary is annual compensation, in thousands of dollars, and ceoten is prior number of years as company ceo. find the average salary and the average tenure in the sample. how many ceos are in their first year as ceo (that is, ceoten
After calculation, the average salary is 865.8644 thousands of dollars and average tenure is 7.955 years. Number of CEOs who are in their first year as CEO is equal to 5.
Here are the steps in R Studio to perform the tasks:
(a) Finding the average salary and the average tenure in the sample:
Load the CEOSAL2 data set in R Studio using the read.csv function.
ceos <- read.csv("CEOSAL2.csv")
Calculate the average salary using the mean function:
average_salary <- mean(ceos$salary)
Calculate the average tenure using the mean function:
average_tenure <- mean(ceos$ceoten)
(b) Finding the number of CEOs in their first year as CEO and the longest tenure as CEO:
Use the sum function and a logical test to count the number of CEOs in their first year as CEO:
first_year_ceos <- sum(ceos$ceoten == 0)
Use the max function to find the longest tenure as CEO:
longest_tenure <- max(ceos$ceoten)
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Suppose elementary students are asked their favorite color, and these are the results: - 24 % chose blue - 17 % chose red - 16 % chose yellow What percentage chose something other
43% of elementary students chose something other than blue, red, or yellow as their favorite color.
The percentage of elementary students who chose something other than blue, red, or yellow as their favorite color can be found by subtracting the sum of the percentages of those three colors from 100%.Blue: 24%
Red: 17%
Yellow: 16%
Total: 24% + 17% + 16% = 57%
Percentage chose something other:
100% - 57% = 43%.
Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.
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For the signal x (t) given below compute x (t) * x (t) by employing convolution integral. x (t) = cos (t/2) u (t).
We substitute the expression for x(t) into the convolution integral and evaluate the integral over the appropriate range of τ. The final result will provide the convolution of the signal x(t) with itself.
To compute the convolution of the signal x(t) with itself, denoted as x(t) * x(t), we need to evaluate the convolution integral. The convolution of two signals is defined as the integral of their product over all possible time shifts.
Given the signal x(t) = cos(t/2)u(t), where u(t) is the unit step function, we can write the convolution integral as:
x(t) * x(t) = ∫[x(τ)x(t-τ)] dτ
Substituting the expression for x(t), we have:
x(t) * x(t) = ∫[cos(τ/2)u(τ)cos((t-τ)/2)u(t-τ)] dτ
To evaluate this integral, we need to consider the limits of integration. Since the unit step function u(τ) is zero for τ < 0, we only need to integrate over the positive range of τ.
Now, we can split the integral into two parts based on the unit step functions:
x(t) * x(t) = ∫[cos(τ/2)cos((t-τ)/2)u(τ)u(t-τ)] dτ
For the limits of integration, we consider two cases: τ < t and τ > t.
For τ < t, u(t-τ) = 1, and for τ > t, u(t-τ) = 0. Therefore, the integral simplifies to:
x(t) * x(t) = ∫[cos(τ/2)cos((t-τ)/2)u(τ)] dτ
Evaluating this integral will give us the desired result for x(t) * x(t).
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Please belpppp don’t understand
Answer:
\(3w^2\sqrt[4]{2w^3}\)
Step-by-step explanation:
hope this helps!:)
Can someone please help me on this????
How do I graph y=3sin(x+pi/3)-2 and what are the amplitude, asymptotes/ phase shift and critical points and period
Step-by-step explanation:
amplitude is 3. so the sin will start at zero and go up to 3 and down to -3. asymptote are at 3 and -3
it's period didn't change it's 2π
it's phase shifted horizontally π/3 to the left
it's phase shifted vertically 2 units down
a manufacture produces wood tables on an assembly line, currently producing 1600 tables per shift. If the production is increased to 2000 tables per shift, labor productivity will increase by?
A) 10%
B) 20%
C) 25%
D) 40%
If the production of wood tables on an assembly line increases from 1600 tables per shift to 2000 tables per shift, the labor productivity will increase by 25%.We need to determine the percentage change.
To calculate the increase in labor productivity, we need to compare the difference in production levels and determine the percentage change.The initial production level is 1600 tables per shift, and the increased production level is 2000 tables per shift. The difference in production is 2000 - 1600 = 400 tables.
To calculate the percentage change, we divide the difference by the initial production and multiply by 100:
Percentage Change = (Difference / Initial Production) * 100 = (400 / 1600) * 100 = 25%.
Therefore, the correct answer is option C) 25%, indicating that labor productivity will increase by 25% when the production is increased to 2000 tables per shift.
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5 +8.1234258364826... is
rational
irrational
Answer:
Probably Irrational but Check Description!!
Step-by-step explanation:
This is irrational if it goes on forever but if it doesn't, it's rational. It seems to go on forever so I say it's irrational.
if a cup has a diameter of 8 centimeters and a height of 12 centimeters , how much juice will the cup hold.
The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³
How do i know the amount of juice the cup can hold?To know the amount of juice the cup can hold, we shall obtain the volume of the cup.
We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:
Diameter of cup = 8 cmRadius of cup (r) = diameter / 2 = 8 / 2 = 4 cmHeight of cup (h) = 12 cmVolume of cup (V) =?Volume = πr²h
Volume = 3.14 × 4² × 12
Volume = 3.14 × 16 × 12
Volume = 602.88 cm³
Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³
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* URGENT * Given f(x) = 6(2-x), what is the value of f(-8)?
open ended question
Answer:
f(-8) = 60Step-by-step explanation:
When we are given a function in this format, we substitute the x value in the equation. F(x) is simply another way of saying y.
if x = -8
6 (2 - -8)
6(10)
60
f(-8) = 60If a system of equations has an infinite
number of solutions, what does that mean for
the equations of the lines? Give an example
of a system of equations with an infinite
number of solution.
Answer:
4x -2y +6 = 0y/3 -x/1.5 = 1Step-by-step explanation:
A system of two linear equations has an infinite number of solutions if the equations are dependent. That is, they describe the same line. Each equation can be rearranged to be identical to the other.
Example
4x -2y +6 = 0 . . . . . . general form equation
y/3 -x/1.5 = 1 . . . . . . intercept form equation
Both of these can be rearranged to the slope-intercept form equation ...
y = 2x +3
_____
Because these equations describe the same line, one of them is shown "dotted" in the attached graph.
__
Additional comment
A "standard form" equation looks like ...
ax +by = c
where a ≥ 0, and a, b, c are mutually prime (integers). If a=0, then b > 0.
A "general form" equation looks like ...
ax +by +c = 0
Most descriptions of general form place no constraints on a, b, c, except to say that 'a' and 'b' cannot both be zero. It usually works well to "reduce" it so the coefficients are mutually prime (integers).
Of course, neither of these forms can have integer coefficients if the slope is an irrational number.
The baxter boys can prepare newspapers for delivery on a rainy morning at a rate of 35 in 3 minutes. how long will it take them to the nearest minute to prepare 131 papers?
To determine how long it will take the Baxter boys to prepare 131 papers, we can use the concept of rate and proportion.
It will take approximately 11 minutes and 14 seconds (to the nearest minute) for the Baxter boys to prepare 131 papers. Given that the Baxter boys can prepare 35 papers in 3 minutes, we can set up a proportion to solve for the time it will take to prepare 131 papers.
First, let's set up the proportion using the information given about the rate of working:
35 papers / 3 minutes = 131 papers / x minutes
To solve for x, we can cross-multiply and then divide:
35 * x = 3 * 131
35x = 393
x = 393 / 35
x ≈ 11.229
Therefore, it will take approximately 11 minutes and 14 seconds (to the nearest minute) for the Baxter boys to prepare 131 papers.
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