Use the following function rule to find f(2).
f(x) = 8 (10)^x
F(2)=
Answer:
The answer is 800
Step-by-step explanation:
f(x) = 8(10)ˣ ; when f(2)
f(2) = 8(10)²
f(2) = 8 × 100
f(2) = 800
Thus, The answer is 800
-TheUnknownScientist 72
for a special fully discrete 20-year term insurance on (30): the death benefit is 1,000 during the first ten years and 2,000 during the next ten years.
The cost of the 20-year term insurance will be based on age, health, smoking, and other factors to determine the premium.
The cost of a special fully discrete 20-year term insurance on a 30-year-old would depend on a range of factors, including the insured's age, health, smoking status, and lifestyle. These factors would be used to calculate the risk of death during the 20-year term. The death benefit of 1,000 during the first ten years and 2,000 during the next ten years would also be taken into account when calculating the cost of the policy. Depending on the risk of death and the death benefits, the premium could vary significantly. For example, a 30-year-old in good health with no smoking history could pay less for the policy than a 30-year-old with a pre-existing condition and a smoking history. The premium could also be higher for individuals with riskier lifestyles. Ultimately, the cost of the 20-year term insurance will depend on the risk of death and the death benefit offered by the policy.
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I am stumped >:( ahhhhhhh
Answer:
\(\frac{1}{32} yards^{3}\)
Step-by-step explanation:
\(V=w*h*l\)
↓
\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)
=
\(\frac{1}{32} yards^{3}\\\)
Hope this helps!
My app closed for no reason can you help me in this problem
a) We have the graph of f(x) and g(x).
The function g(x) seems to be the reflection of f(x) across the x-axis.
This can be represented mathematically as:
\(\begin{gathered} g(x)=-1\cdot f(x) \\ g(x)=-f(x) \end{gathered}\)b) In this case, h(x) is f(x) rotated 180°.
The rule for this transformation is:
\((x,y)\longrightarrow(-x-y)\)Both the value of the function h(x) as the argument, x, change signs, so we should get:
\(h(x)=-f(-x)\)c) In this case, j(x) is the reflection of f(x) across the y-axis.
This can be represented as a change of sign in the argument x.
Then, we can write j(x) as:
\(j(x)=f(-x)\)Answer:
a) g(x) = -f(x)
b) h(x) = -f(-x)
c) j(x) = f(-x)
The weights of 5 girls are 70 pounds, 68 pounds, 85 pounds, 62 pounds, and 70 pounds. Nina finds measures of center and measures of variation of this data. Match the descriptions to the type of measure.
1. She found the difference of the least
and the greatest values.
2. She found the middle value after
arranging all the values from least
to greatest.
3. She added all the values and divided the
sum by 5.
4. She found the value that appeared the
most often.
5. She found the difference of the
upper quartile and the lower
quartile.
6. She found the mean and then
found the average deviation of
the weights from the mean.
Measure of center or measure of variation?
The Measure of center or measure of variation of the weights are; Range = 23 pounds; Median = 70 pounds; Mean = 71 pounds; Mode = 70 pounds
How to find the measures of Central Tendency?We are given the weights as;
Weights of 5 girls = 70 pounds, 68 pounds, 85 pounds, 62 pounds, and 70 pounds
1) The difference of the least and the greatest values is;
Range = 85 - 62 = 23 pounds
2) The middle value after arranging all the values from least to greatest is; 62, 68, 70, 70, 85
Median = 70
3) Adding all the values and dividing by 5 is;
Mean = (62 + 68 + 70 + 70 + 85)/5
Mean = 71 pounds
4) Value that appeared the most is;
Mode = 70
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Which number line shows the solution to x>7?
Answer:A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Michaela plans on installing heated tile in her kitchen. A diagram of the kitchen floor plan is shown below.
Calculate the area of the floor, to the nearest 10th, to determine how many square metres of tile Michaela will need to buy.
*Hint: Divide the shape into 2! You will need to use trig!
Check the picture below.
so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".
\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)
Millie Moo the cow can produce 14
gallons of milk in 3 days. How many gallons
of milk does Millie produce each day?
Round to the nearest hundredth if
necessary.
Which of the following expressions are equivalent to -19/8 x(-50)
1. Move the negative sign to the left.
- \(\frac{19}{8}\)\(X\)*-50
2. Use this rule: \(\frac{a}{b}\)\(*\)\(\frac{c}{d}\)=\(\frac{ac}{bd}\)
-\(\frac{19x*-50}{8}\)
3. Simplify - \(\frac{-950x}{8}\)
4. Move the negative sign to the left.
-(-950x/8)
5. Simplify 950x/8 to 475x/4
6. Remove parentheses.
please help me find the rule for this table:
0,1
1,3
2,6
3,10
4,15
5,21
the first number in the first bracket is one lesser than the one we n the second bracket but the second one in the first bracket is one number bigger than the other.
Suppose that the annual interest rates on mortgages in the U.S. are normally distributed with an unknown mean and standard deviation. The rates of 22 randomly sampled mortgages (home loans) are used to estimate the mean of the population. What t-score should be used to find the 98% confidence interval for the population mean?
Answer:
The value is \(t_{\frac{\alpha }{2} , 21 } = 2.518\)
Step-by-step explanation:
From the question we are told that
The sample size is n = 22
Generally the degree of freedom is mathematically represented as
\(df = n- 1\)
=> \(df = 22- 1\)
=> \(df = 21\)
From the question we are told the confidence level is 98% , hence the level of significance is
\(\alpha = (100 - 98 ) \%\)
=> \(\alpha = 0.02\)
Generally from the t distribution table the critical value of \(\frac{\alpha }{2}\) at a degree of freedom of \(df = 21\) is
\(t_{\frac{\alpha }{2} , 21 } = 2.518\)
The surface area of a cell phone screen is 11700 mm2. Use the fact that 10 mm = 1 cm to convert this area to cm2. Round your answer to the nearest whole number.
The surface area of a cell phone screen is 117 cm².
What is unit conversion?
Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.
We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:
11700 mm² / (100 mm² / cm²) = 117 cm²
Rounding to the nearest whole number, we get 117 cm².
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Preston measured the button on his shirt. Then he calculated that it has an area of 50.24 square millimeters. What is the button's diameter?
A naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet.
If a naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet then 145 is the position of the submarine relative to the surface of the ocean now.
What is Equation?
Two expressions with an equal sign is called as Equation.
If a naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet. we need to find the position of the submarine relative to the surface of the ocean now.
The submarine initial position=310 feet.
To pass above an underwater mountain, or seamount, it rose =165 feet.
The position of submarine is
310-165
=145 feet.
Therefore the position of the submarine relative to the surface of the ocean now is 145 feet.
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Write x² + 10x + 29 in the form (x + c)² + d, where c
and d are numbers.
What are the values of c and d?
Answer:Write x² + 10x + 29 in the form (x + c)² + d, where c
Step-by-step explanation:
Answer:
(x+5)² + 4, so c is 5 and d is 4
Step-by-step explanation:
x² + 10x + 29 is a quadratic equation which can be witten as x² + bx + c, where b is 10 and c is 29.
We need to complete the square to get it in the form
(x + c)² + d
Completing the square uses the form:
\((x + \frac{b}{2} ) {}^{2} - ( \frac{b}{2} ) {}^{2} + c\)
substitute b = 10 and c = 29 in this form:
\((x + \frac{10}{2}) {}^{2} - ( \frac{10}{2} ) {}^{2} + 29\)
Simplify further:
\((x + 5) {}^{2} - 25 + 29\)
\((x + 5) {}^{2} + 4\)
c = 5, d = 4
z varies directly as x√ and inversely as y. If z=116 when x=36 and y=3, find z if x=49 and y=9. (Round off your answer to the nearest hundredth.)
The value of z to the nearest hundredth is 45.11.
Direct variation is expressed using this equation : x = ky
Indirect variation is expressed using this equation: x = k/y
Where:
x = dependent variable k = constant y = independent variableThe information in the question can be represented with this equation: z = k√x / y
116 = k√36 / 3
116 = 6k / 3
116 = 2k
k = 116/2
k = 58
In order to determine the value of y, these steps would be taken:
58√49 / 9
(58 x 7) / 9
= 406 / 9
= 45.11
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3. National Discount has 260 retail outlets throughout the United States. National evaluates each potential location for a new retail outlet in part on the mean annual income of the households in the marketing area of the new location. National develops an interval estimate of the mean annual income in a potential marketing area after taking a random sample of households.For a marketing area being studied, a sample of 36 households was taken and the sample mean income was $21,100.39. Based on past experience, National Discount assumes a known value of $4500 for σ=the population income standard deviation.a. Develop a 95% confidence interval for the mean annual income of households in this marketing area. (5 point)
Answer:
(19630.39 , 22570.39)
Step-by-step explanation:
Given that:
Mean, m = 21100.39
Standard deviation, σ = 4500
Sample size, n = 36
Zcritical at 95% = 1.96
Confidence interval (C. I) :
m ± Zcritical(σ/√n)
21100.39± 1.96(4500/√36)
Lower bound :21100.39 - 1.96(750) = 19630.39
Upper bound : 21100.39+1.96(750) = 22570.39
(19630.39 , 22570.39)
Gina Wilson unit 4 linear equations Homework 2 Slope intercept and standard form
All the answers to the given questions are mentioned below -
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given are six graphs as shown in the image.
PART [1]The equation of graph [1] -
m = (- 2 - 4)/(2 - 0)
m = -6/2
m = -3
Equation : y = -3x + 4
The equation of graph [2] -
m = (0 + 1)/(2.5 - 0)
m = 1/2.5
m = 10/25
m = 2/5
Equation : y = 2x/5 - 1
The equation of graph [3] -
Equation : y = 4
The equation of graph [4] -
Equation : x = 2
PART - [2][1] : 2x - y = - 7
y = 2x + 7
[2] : 5x + 3y = 12
3y = -5x + 12
y = -5x/2 + 4
[3] : x - y = 1
y = x - 1
[4] : x - 3y = - 15
3y = x + 15
y = x/3 + 5
[5] : 8x - 10y = 20
8x - 20 = 10y
y = 4x/5 - 2
[6] : 14x + 6y = 36
6y = -14x + 36
y = -7x/3 + 6
Therefore, all the answers to the given questions are mentioned above.
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[REFER TO IMAGE FOR QUESTION]
Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?
Answer:
Step-by-step explanation:
(3 - 8)/(1 + 4)= -5/5= -1
y - 8 = -(x + 4)
y - 8 = -x - 4
y = -x + 4
The temperature at 5 a.m. was −7.4°C. By 9 a.m., the temperature was −4.7°C. How much warmer was the temperature at 9 a.m.?
Answer:
2.7°C.
Step-by-step explanation:
If it was -7.4°C. at 5 am, then -4.7°C. at 9am, then the temperature rose by 2.7°C.
Proof:
-7.4
-4.7
--------
2.7
help lol i forgot the picture
Answer:
x=12
Step-by-step explanation:
4(12)+17 equals 65
(12)+23 equals 35
180-80=100
65+35=100
Tim's grandfather lends him $105 to buy
a new cell phone. Each week Tim pays hls
grandfather $15. How many weeks will it
take Tim to pay back all the money?
Need ASAP
Answer:
7 weeks.
Step-by-step explanation:
Divide 105 by 15, after working with all the numbers you should get 7. Your answer is 7 weeks! Hope it helped!
OwO
The graph of the function f(x) = (x-4)(x + 1) is shown
below.
Which statement about the function is true?
O The function is increasing for all real values of x
where
x < 0.
O The function is increasing for all real values of x
where
x < -1 and where x > 4.
O The function is decreasing for all real values of x
where
-1
O The function is decreasing for all real values of x
where
x < 1.5.
The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.
Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).
The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.
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At a business meeting at Panera Bread , the bill for two cappuccinos and three caffe lattes was $19.75. At another table, the bill for one cappuccino and two lattes was $11.97 . How much did each type of beverage cost? Help!!
Answer:
too much
Step-by-step explanation:
i'm broke
Can someone check if it’s correct also help me with the last one
Thanks
The perimeter of triangle ABC = 60 + 20√3 cm
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
In triangle ADB,
sin (30°) = AD/AB
1/2 = ( 10 √3 ) /AB
AB = 20√3
In triangle ABC,
cos (30°) = AB/BC
√3 /2 = 20√3 / BC
BC = 40
tan (30°) = AC/AB
1/√3 = AC/ 20√3
AC = 20
Perimeter of triangle ABC = AB +BC + AC
= 20√3 + 40 + 20
= 60 + 20√3
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What is the sum of a °+c °?
Answer:
300 degrees.
Step-by-step explanation:
a = 180 degrees
c = 180 - 60 = 120 degrees
which of the binomials below is a factor of this trinomial
x^2-13x+30
The binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.
To determine which binomial is a factor of the trinomial x² - 13x + 30, we need to factorize the trinomial completely.
In this case, we need to find two binomials in the form (x - a)(x - b) that satisfy the equation:
(x - a)(x - b) = x² - 13x + 30
So, (x - 3)(x - 10) = x² - 13x + 30.
Therefore, the binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.
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Find a formula for the nth term
of the arithmetic sequence.
First term -2
Common difference 8
an = [? ]n + []
Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2
pounds of bananas for a total of $5.25. This system of equations represents the situation, where x is the cost per
pound of apples, and y is the cost per pound of bananas.
5x + 3y = 8.5
3x + 2y = 5.25
If you multiply the first equation by 2, what number should you multiply the second equation by in order to eliminate
the y terms when making a linear combination?
Complete the multiplication and add the equations. What is the result?
What is the price per pound of apples? $
What is the price per pound of bananas?
Answer:
price per pound of apple = $1.25
price per pound of banana = $0.75
Step-by-step explanation:
Your first question is what value should you multiply the second equation by in order to eliminate the y terms.
The number should be 3. Let us multiply the first equation by 2 and the second equation by 3 and see how y will be eliminated.
10x + 6y = 17...............(i)
9x + 6y = 15.75...........(ii)
10x - 9x = x
6y - 6y = 0
17 - 15.75 = 1.25
x = 1.25
let us find y
10x + 6y = 17...............(i)
10(1.25) + 6y = 17
12.5 + 6y = 17
6y = 17 - 12.5
6y = 4.5
divide both sides by 6
y = 4.5/6
y = 0.75
In order to eliminate y term from the system of equations we multiply equation 2 by -3.
The price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.
Given equations,
\(5x + 3y = 8.5\).........(1)
\(3x + 2y = 5.25\).......(2)
Here x is the cost per pound of apples, and y is the cost per pound of bananas.
According to the question, multiply the first equation by 2, we get
\(10x+6y=17\).....(3)
So, in order to eliminate y term from the system of equations we multiply equation 2 by -3, we get
\(-9x-6y=15.75\).....(4)
Now Adding (3) and (4) equation, we get
\(x=1.25\)
Putting the above value of x in equation 3 we get,
\(10\times1.25+6y=17\\12.5+6y=17\\6y=17-12.5\\6y=4.5\\y=\frac{4.5}{6} \\y=0.75\)
Hence the price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.
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a polynomial finction with real coefficients has no real zeros. what can you say sbout the degree of the polynomial?explain
A polynomial function is a function in an equation, such as the quadratic equation, cubic equation, etc.
What is polynomial function?A polynomial function is a function in an equation, such as the quadratic equation, cubic equation, etc., that only uses non-negative integer powers or only positive integer exponents of a variable. A polynomial with an exponent of 1 is, for instance, 2x+5. A polynomial is a function that has the formula f(x) = anxn + anxn + anxn+1 +... + a2x2 + a1x + a0. The highest power of x in the formulation of a polynomial is its degree. Constant (non-zero) polynomials, linear polynomials, quadratics, cubics, and quartics, respectively, are polynomials of degree 0, 1, 2, 3, and 4.A polynomial is an expression in mathematics that solely uses the operations of addition, subtraction, multiplication, and powers of positive-integer variables. It consists of indeterminates and coefficients.
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