Answer:20
Step-by-step explanation: my man
Answer:
20
Step-by-step explanation:
1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 10
+ 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 10
= 20
Somebody please help.
Select the correct answer.
What is the exact value of cos 105°?
Check the picture below.
[tex]\textit{Sum and Difference Identities} \\\\ cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta) \\\\[-0.35em] ~\dotfill\\\\ cos(105^o)\implies cos(60^o+45^o)\implies cos(60^o)\cdot cos(45^o)-sin(60^o)\cdot sin(45^o) \\\\\\ \cfrac{1}{2}\cdot \cfrac{\sqrt{2}}{2}~~ - ~~\cfrac{\sqrt{3}}{2}\cdot \cfrac{\sqrt{2}}{2}\implies \cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies {\Large \begin{array}{llll} \cfrac{\sqrt{2}-\sqrt{6}}{4} \end{array}}[/tex]
solve for y
-8x+2y= -24
Answer:
y = -12 + 4x
Step-by-step explanation:
1. Add 8x to both sides of the equation.
2y = -24 + 8x
2. Divide each term in 2y = -24 + 8x by 2, then simplify.
• Simplify left side: cancel the common factor of 2
y = -24/2 + 8x/2
• Simplify right side: 2y/2 = -24/2 + 8x
y = -12 + 4x
4x + 9 > 1. Pls help
12.0.5f-2.3g
f=12,g=2
Answer:14.1099
Step-by-step explanation:
Find the slope of the line shown on the graph to the right.
The slope of the line is 5/6.
From the graph:
Slope : a surface of which one end or side is at a higher level than another rising or falling surface.
Points are (-3,-2) and (3,3)
slope m = y2-y1 / x2-x1
= 3 - (-2) / 3 - (-3)
= 3 + 2 / 3 + 3
m = 5/6.
Therefore the slope of the line is 5/6.
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What is the factored form of n2 + n
The factored form of n2 + n is: n(n+1).
How to find the factored form?Given data:
n²+n
Now let find the factored form of n²+n
n²+n
Rewrite in factored form
n(n+1)
Hence,
n²+n = n(n+1)
Therefore n(n+1) is the factored form.
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Bijou says the following steps can be used to find 0.62 of 7:
Step 1 Change "of” to the multiplication symbol.
Step 2 62×7=434
Step 3 There are 0 decimal places in 7 and 2 decimal places in 0.62 for a total of 2 decimal places in the factors.
Step 4 Move the decimal place in the product 2 places to the right to find the solution: 0.62 of 7 is 43,400.
In which step did she make her first error?
Bijou made her first decimal place error in Step 4 because the answer is supposed to be 4.34, not 43,400.
How is the decimal place determined?The decimal place of a product of two numbers should be determined based on the number of decimal places the multiplier and the multiplicand originally have.
A decimal place error is committed when the result bears a decimal place in the wrong position.
In this situation, 0.62 of 7:
= 0.62 x 7
= 62 x 7 ... removing the two decimal places
= 434
= 4.34 ... putting back the two decimal places in the final result.
Thus, Bijou did not commit any decimal place or multiplication error in Steps 1 through 3 but in Step 4.
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Find the xx-intercept of each line defined below and compare their values.
Equation of Line A:
y-2=-(x+1)
Select values from Line B:
x y
−2 0
-1− -3
0 -6
The x-intercept of line A is (1,0) and the x - intercept of line B is (-2,0).
Given:
Equation of Line A: y-2=-(x+1)
on finding x intercept put y = 0
0 - 2 = -x - 1
-2 = -x - 1
-x = -2 + 1
-x = -1
x = 1.
The x intercept is (1,0)
The x intercept for the line B is (-2,0).
Therefore the x-intercept of line A is (1,0) and the x - intercept of line B is (-2,0).
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Find the value of tan W rounded to the nearest hundredth, if necessary.
The value of tan W is 5/12
From the question, we have
tan W = 15/36
= 5/12 =0.41
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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4.2 = 16.7 - 5y solve for y
Answer:
y = 2.5
Step-by-step explanation:
To double check this, you can do 5 times (2.5), then do 16.7 minus that answer so you do, 16.7- 12.5 which does indeed equal 4.2
Answer:
y = 2.5
Step-by-step explanation:
[tex]4.2 =16.7-5y[/tex]
Subtract 16.7 from both sides of the equation you get:
[tex]-12.5=-5y[/tex]
Divide by -5:
[tex]2.5=y[/tex]
Hope this answers your question :)
What is the equation of the line that passes through the point (-4, 5) and has an
undefined slope?
keeping in mind that a line with an undefined slope is a vertical line, Check the picture below.
verify that the function satisfies the three hypotheses of rolle's theorem on the given interval. then find all numbers c that satisfy the conclusion of rolle's theorem. (enter your answers as a comma-separated list.) f(x)
The c has only one number is c = 81/4 that satisfy the conclusion of rolle's theorem.
The three hypotheses of Rolle's theorem are:
(a) f(x) is continuous on [a,b]
(b) f(x) is differentiable on (a,b)
(c) f(a) = f(b)
i) If you graph f(x), you can see that it is continuous that is no breaks on the interval [0,81]
ii) f(x) is differentiable on (0,81)
f '(x) = 1/(2√x) - 1/9 which exists on the open interval (0,81)
iii) f(0) = f(81) = √81 - 81/9 = 9-9 = 0
Rolle's Conclusion:
f'(c) = 0
f'(c) = 1/(2√c) -1/9 = 0
(9 - 2√c)/(18√c) = 0
√c = 9/2
c = 81/4
There is one number c = 81/4, which satisfies f '(c) = 0.
Therefore the c has only one number is c = 81/4 that satisfy the conclusion of rolle's theorem.
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Full question:
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)
f(x) =x − 1/9 x, [0, 81].
a) Express the null and alternative hypotheses in symbolic form for this claim. Assume d = SUV-Car. Enter != for
≠
≠
.
H
0
:
μ
¯
d
H
0
:
μ
d
¯
H
a
:
μ
¯
d
H
a
:
μ
d
¯
b) What is the significance level?
α
=
α
=
c) What is the test statistic? Round to 3 decimal places.
=
a) The hypothesis are given as follows:
Null: [tex]H_0: \mu_d \geq 0[/tex]Alternative: [tex]H_1: \mu_d < 0[/tex]b) The significance level is of α = 0.1.
c) The test statistic is of: t = -2.69.
d) The p-value is of: 0.018
e) The decision is to reject the null hypothesis.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence that SUVs sustain less damage, that is, the mean is equal or greater than zero, hence:
[tex]H_0: \mu_d \geq 0[/tex]
At the alternative hypothesis, it is tested if there is enough evidence that the SUVs sustain less damage, that is, the mean if less than zero, hence:
[tex]H_1: \mu_d < 0[/tex]
What is the test statistic?The test statistic is given by the equation presented as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The sample of the differences is given as follows:
447, -893, -2373, 271, -1680, -1916, -1676.
Using a calculator from the above sample, the values of these parameters are given as follows:
[tex]\overline{x} = -1117, \mu = 0, s = 1100, n = 7[/tex]
Hence the test statistic is of:
t = (-1117 - 0)/(1100/sqrt(7))
t = -2.69.
What are the p-value and the test?Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than a value, with 7 - 1 = 6 df and t = -2.69, the p-value is of 0.018.
Since this p-value is less than the significance level of 0.1, the decision is to reject the null hypothesis.
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a study of elephants is conducted to determine the average weight of a certain subspecies of elephants. the standard deviation for the population is 1500 pounds. at a 99% level, how many elephants need to be weighed so the average weight will be accurate to within 200 pounds?
The birth weight of elephants at the 99% confidence level is 3820 pounds
What is the standard deviation?
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
The average birth weight of elephants is 200 pounds = 200
The deviation of 60 pounds. = 1500
The birth weight of elephants is at the 85th percentile. z = 99%= 1.645
Now from the formula of z-score:-
[tex]z=\sqrt{\frac{x-\mu}{\sigma} }[/tex]
[tex]1.64 =\sqrt{\frac{x-200}{1500} }\\[/tex]
[tex]1.645^{2} =\frac{x-200}{1500}[/tex]
2.68 = (x-200)/1500
2.68×1500=x-200
4020-200=x
3820=x
Hence the birth weight of elephants at the 99% level percentile is 3820 pounds
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5. A sprinter runs at 12m/s. Convert this to km/h.
a) 2 km/h b) 12 km/h C) 3.6 km/h d) 43.2 km/h
Answer:
43.2km/h
Step-by-step explanation:
1km = 1000m
1h = 3600s
1km/h to m/s
= 1 × 1000/3600
= 1000/3600
1m/s to km/h
= 1 ÷ 1000/3600
= 1 × 3600/1000
Hence, 12m/s = 12 × 3600/1000
= 43.2km/h
3. Corey is playing a game in which he selects
all of the numbers that are less than -5 but
greater than -20. Shade the values that Corey
should choose.
-9
7 -5
6
-3 -11
-15
18
0
The numbers that will be chosen when Corey selects all of the numbers that are less than -5 but greater than -20 include -9, -11 and -15.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Based on the information, the inequality will be expressed as:
-20 < x < -5
In this case, the numbers have to be from -6 to -19. The numbers illustrated in the options are -9, -11 and -15.
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ASAP PLEASE!
A particular dishwasher uses 4 gallons of water per load. Their advertising claims that hand washing the dishes uses 6 times as much water. According to this estimate, how many gallons of water would it save to wash 215 loads using the dishwasher instead of by hand?
Answer: 4,300 gallons of water
215 x 4 = 860 gallons of water using the dishwasher
215 x 6 x 4 = 5,160 gallons of water by hand
5,160 - 860 = 4,300 gallons of water saved by using the dishwasher.
- Your welcome, keep it up champ.
[tex]2x^{2} +7x-4=0[/tex]
I Given:
2x-9
5
= 1
Prove: x = 7
It is proven that the value of x in the given expression 2x-9 -5 = 1 is 7.
Given: 2x-9 -5 = 1
We need to prove that x = 7
2x - 9 - 5 = 1
2x - 13 = 1
2x = 14
x = 7
Therefore, it is proven that the value of x in the given expression 2x-9 -5 = 1 is 7.
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A jeweler is dividing 3/8 a pound of rubies among 4 lots. What part of a pound will each lot weigh?
A 1/16
B 3/32
C 1/8
D 1/4
Answer:
B 3/32
Step-by-step explanation:
3/8 divided by 4
do the keep change flip method and solve
3/8 x 1/4
Rewrite in simplest terms: (-10x+2)+(-9x+8)
Answer: -19x + 10
Step-by-step explanation:
1. Remove parenthesis
-10x + 2 - 9x + 8
2. Collect like terms
(-10x - 9x) + (2 + 8)
3. Simplify
-19x + 10
I need help with this question too here is the question.
Fiona has 212 stickers to put in her sticker book. Page holds 18 stickers. How many pages does Fiona need for all of her stickers?
Again, please give me a valid answer. And show your work. Thank you. Have a good night.
Answer:
Fiona would need 12 pages to hold all 212 stickers.
Step-by-step explanation:
Since each page holds 18 stickers, and Fiona has 212 stickers, we need to divide.
212 / 18 = 11.7777778 pages
Because that we cannot have .77777778 of a page, we round to the nearest page, getting us 12 pages.
Have a good night, I hope my answer helped you!
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.) ln x^2-1/x^7 , x>1
By using property of logarithms, We get the answer
In [tex](x^2 -1)[/tex] - In [tex]x^7[/tex] = In (x + 1) + In (x -1) - 7 In x
Given,
In the question:
The equation is :
In [tex]\frac{x^{2} -1}{x^7}[/tex] , x > 1
To solve by using by using property of logarithms to expand the expression as a sum, difference, and / or constant multiple of logarithms.
Now, According to the question:
We know that:
The property of logarithms is:
[tex]log_{a}{\frac{m}{n} } = log_{a}m - log_{a}n[/tex]
The given equation is :
In [tex]\frac{x^{2} -1}{x^7}[/tex] , x > 1
In [tex]\frac{x^{2} -1}{x^7}[/tex] = In [tex](x^2 -1)[/tex] - In [tex]x^7[/tex]
Again, Using the another property of logarithms.
[tex]log_am^x = nlog_am[/tex] {x∈ R}
In [tex](x^2 -1)[/tex] - In [tex]x^7[/tex] = In [tex](x^2 -1)[/tex] - 7 In x
In [tex](x^2 -1)[/tex] - In [tex]x^7[/tex] = In [ (x + 1)(x - 1)] - 7In x
In [tex](x^2 -1)[/tex] - In [tex]x^7[/tex] = In (x + 1) + In (x -1) - 7 In x
{Log (mn) = [tex]log_{a}m - log_{a}n[/tex]}
Hence, By using property of logarithms, We get the answer
In [tex](x^2 -1)[/tex] - In [tex]x^7[/tex] = In (x + 1) + In (x -1) - 7 In x
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One of the legs of a right triangle measures 11 cm and the other leg measures 14 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
∴ The measure of the hypotenuse is 20cm (to the nearest tenth).
Step-by-step explanation:
Let the length of the hypotenuse be x cm.
x² = 11² + 14²
∴ x = 20cm (to the nearest tenth)
Lines j and k are parallel. m∠3 = (3x − 18)° and m∠4 = (y + 25)° and m∠7 = 75°. Find the values of x and y.
Answer:
x = 31 , y = 80
Step-by-step explanation:
∠ 3 and ∠ 7 are corresponding angles and are congruent , so
3x - 18 = 75 ( add 18 to both sides )
3x = 93 ( divide both sides by 3 )
x = 31
then
∠ 3 = 3x - 18 = 3(31) - 18 = 93 - 18 = 75°
∠ 3 and ∠ 4 are a linear pair and sum to 180° , then
75 + y + 25 = 180
y + 100 = 180 ( subtract 100 from both sides )
y = 80
The length of a rectangular window is 5 feet more than its width. The area of the
window is 36 square feet. What are the dimensions of the window? Could a moving
company use that window to bring a standard upright piano into an apartment?
The dimensions of the window: Length = 9ft , width = 4ft
What are dimensions?
In mathematics, a dimension is the length or width of an area, region, or space in one direction.
The homes we live in and the items we use on a daily basis all have three dimensions: height, length, and width.
Here, we have
l = w + 5
Area = length × width
The linear equation of the given dimension is:
36 = (w + 5)w
w² + 5w - 36 = 0
(w + 9)(w - 4) = 0
w + 9 = 0
w = -9
We only measure positive numbers so, we disregard this value.
we take,
w - 4 = 0
w = 4
l = 4 + 5
l = 9
The length of the window is 9 ft and the width of the window is 4 ft.
Hence, the dimensions of the window: Length = 9ft , width = 4ft
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a group of friends wnats to go to the amusement park.They have no more than $110 to spend on parking and admission.parking is $8 and tickets cost $23 per person including tax
Answer:
Step-by-step explanation:
Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:
8 + 23(x) ≤ 100
8 + 23x ≤ 100
23x ≤ 100 - 8
23x ≤ 92
x ≤ 92/23
x ≤ 4
The number of people that can go to the amusement park will be at most 4
HELP HELP HELP HELPP
ONLY ANSWER IF YOU KNOW
Answer:
Step-by-step explanation:
1(x1)+ (-4)x2+ (-10)x3 = -40 Eq 1
0 + (1)x2 + 3(x3) = 14 Eq 2
0 + (-2)x2 + (-5)x3 = -23 Eq 3
from the 2nd equations we get
x2 + 3*x3 = 14
x2 = 14 - 3*x3
plug this into equation 3
(-2)*(14-3*x3) + (-5)x3 = -23
now solve for x3 :)
-28+6*x3-5*x3 = -23
-28 +x3 = -23
x3 = 5
nice !
now find x2
x2 = 14-3*(5)
x2 = -1
now find x1
x1 + (-4)*(-1) + (-10)*5 = -40
x1 +4 -50=-40
x1 = 6
X = [ 6 ; (-1) ; 5 ]
Noah borrows \$2000$2000dollar sign, 2000 from his father and agrees to repay the loan and any interest determined by his father as soon as he has the money. The relationship between the amount of money, aaa, in dollars that noah owes his father (including interest), and the elapsed time, ttt, in years, is modeled by the following equation. A=2000e^{0. 1t}a=2000e 0. 1t a, equals, 2000, e, start superscript, 0, point, 1, t, end superscript how long did it take noah to pay off his loan if the amount he paid to his father was equal to \$2450$2450dollar sign, 2450? give an exact answer expressed as a natural logarithm.
Two years , is the time in which Naoh had to pay off his loan when the ammount he paid to his father was equal to $2450.
In the question we have given,
Amount borrowed by Naoh from his father
= $2000
The relationship between amount of money A in dollars with interest and elapsed time t is
A = 2000 e⁽⁰·¹⁾ᵗ
let Naoh pay $2450 after elapsing "t" years .
that is A = $2450 after time t years of borrowing.
We shall calculate the time which elapsed after borrowed by Naoh for paying $2450.
So, putting A = 2450 in above equation we get
2450 = 2000 e⁽⁰·¹⁾ᵗ
=> e⁽⁰·¹⁾ᵗ= 2450/2000 = 49/40
Taking logarithm both sides
=> ln ( e⁽⁰·¹⁾ᵗ) = ln (49/40)
=> (0.1 )t = 0.203
=> t = 2.023 ~ 2
Hence, after 2 years , Naoh will pay $2450 with including interest to his father.
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Write a formula for the sequence:
2.3,\ 2.8,\ 3.3,\ 3.8,\ ...2.3, 2.8, 3.3, 3.8, ...
A formula for the sequence 2.3, 2.8, 3.3, 3.8, ... is a_n = 1.8 + 0.5 n.
First, let us understand the arithmetic progression:
Arithmetic Progression (AP) is a number sequence in which the difference between any two consecutive numbers is a constant value.
We can find the common difference (d) by subtracting any two consecutive terms of arithmetic progression.
The nth term of an arithmetic progression is given by:
a_n = a + (n - 1)d
where
a = first term of an arithmetic progression
n = nth term of an arithmetic progression
d = common difference
We are given the following sequence;
2.3, 2.8, 3.3, 3.8, ...
We need to write a formula for the given sequence.
Let us find the common difference;
d = 2.8 - 2.3 = 0.5
a = 2.3
substitute the values in the above formula;
a_n = 2.3 + (n - 1) * 0.5
a_n = 2.3 + 0.5 n - 0.5
a_n = 1.8 + 0.5 n
So, the formula for the given sequence is a_n = 1.8 + 0.5 n.
Thus, a formula for the sequence 2.3, 2.8, 3.3, 3.8, ... is a_n = 1.8 + 0.5 n.
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