Answer:
The temperature would fall by 16.25°
Step-by-step explanation:
If it's 3.25 every hour and there are 5 hours total just multiply. 3.25 x 5 = 16.25.
NO LINKS!!!! Please help me with this graph. Part 7a
Answer:
[tex]\large \boxed{ \sf y=-0.3\left|x-0\right|-7}[/tex]
Explanation:
Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (0, -7)
As the graph opens downward, take negative/fall coordinates.
Two points: (0, -7), (10, -10)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-10-(-7)}{10-0} \ = -0.3[/tex]
Put them together: [tex]\bf y = -0.3|x - 0| -7 \ \ \ \approx \ \ y = -0.3|x| - 7[/tex]
Answer:
[tex]g(x)=-\dfrac{3}{10}|x|-7[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
-----------------------------------------------------------------------------------------
Parent function: [tex]f(x)=|x|[/tex]
From inspection of the graph, the transformed function has been reflected in the x-axis.
[tex]\implies -f(x)=-|x|[/tex]
The vertex of the parent function is the origin (0, 0). The vertex of the transformed function is at (0, -7). Therefore, there has been a translation of 7 units down.
[tex]\implies -f(x)-7=-|x|-7[/tex]
From inspection of the graph, we can see that it has been stretched parallel to the y-axis:
[tex]\implies -a\:f(x)-7=-a|x|-7[/tex]
The line goes through point (10, -10)
Substituting this point into the above equation to find [tex]a[/tex]:
[tex]\implies -a|10|-7=-10[/tex]
[tex]\implies -10a=-3[/tex]
[tex]\implies a=\dfrac{3}{10}[/tex]
Therefore,
[tex]\implies g(x)=-\dfrac{3}{10}|x|-7[/tex]
Please help me with this
Tanisha's website had x visitors on Friday. On Saturday, it had 500 more visitors than it did on Friday. The total
number of visitors on Friday and
Saturday was twice the number on Sunday. In terms of x, how many visitors did Tanisha's website have on
Sunday?
If the number of visitors on Friday, Saturday, and Sunday is x, x + 500, and x + 250. Then the total number of visitors will be 3x + 750.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Tanisha's website had x visitors on Friday.
On Saturday, it had 500 more visitors than it did on Friday. That is x + 500
The total number of visitors on Friday and Saturday was twice the number on Sunday. That is (2x + 500)/2
Then the total number of the visitors will be
→ Friday + Saturday + Sunday
Then we have
[tex]\rm \rightarrow x + x + 500 + \dfrac{2x + 500}{2}\\\\\rightarrow 2x + 500 + x + 250\\\\\rightarrow 3x + 750[/tex]
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Find the solution(s) to the system of equations represented in the graph. (2,0) (0,-2)
the solution to a system of equation is the point where they intersect. This occurs at (0, -2) and (2, 0).
Graph x = 4 help please!!! :(
Answer:
x = 4 would be a vertical line along with the value x=4
Step-by-step explanation:
The line of x=4 represents all values with the x value 4 so any value with (4,y) would be on the line x = 4 so if plot (4,0), (4,1), (4,2). It will form a vertical line at x=4.
A nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes. What is the probability of the complement of the event? Express your answer as a fraction in simplest form.
The probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of contains in the bag = 15+10+15 = 40
Total number of nickel = 10
The probability of getting the nickel = 10/40 = 1/4
The complement of the probability:
P' = 1 – 1/4
P' = 3/4
Thus, the probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.
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Suppose the U.S. president wants to estimate the proportion of the population that supports his current policy toward revisions in the health care system. The president wants the margin of error to be 0.05. Assume a 98% level of confidence. The president’s political advisors found a similar survey from two years ago that reported that 46% of people supported health care revisions. (Use t Distribution Table & z Distribution Table.)
Required:
a. How large of a sample is required? (Round up your final answer to the next whole number.)
b. How large of a sample would be necessary if no estimate were available for the proportion supporting current policy? (Round up your final answer to the next whole number.)
The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We know:
[tex]\rm MOE = Z \times \sqrt{\dfrac{pq}{n}}[/tex]
We have MOE = 0.05, p = 46% = 0.46,
q = 1-p = 1-0.46 = 0.54
Z at 0.02(because 98% level of confidence) = 2.33
Plug this value in the formula we get:
[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.46\times0.54}{n}}[/tex]
After solving:
n = 539.41 ≈ 540
If no estimate is given:
p = 0.5 and q = 0.5
[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.5\times0.5}{n}}[/tex]
n = 542.89 ≈ 543
Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.
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Choose an image (2, 3, or 4) and answer the questions.
a. How does this image change from the previous image?
What is the probability of picking a pink marble and rolling an even number?
Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.
Answer:
[tex]\frac{6}{14}[/tex]
Step-by-step explanation:
P(A and B) = P(A) × P(B)
~~~~~~~~
P(A) = [tex]\frac{6}{7}[/tex]
P(B) = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
P(A and B) = [tex]\frac{6}{7}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{6}{14}[/tex]
Find the area of the figure. Round to the nearest hundredth where necessary.
24 m
28 m
The camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
Answer:
$75 ?
Step-by-step explanation:
If this is wrong super sorry :)
Given the function = f(x) = 2x - 5, solve f(x) = 7.
Answer:
f(7) = 9
Step-by-step explanation:
f(x) = 2x - 5, solve f(x) = 7.
f(7) = 2(7) -5
f(7) = 9
The original price of the bedroom set is 2850. Since they are opening a credit card, they receive 15% off. What is the new price of the bedroom set
Answer:
$2,422.50
Step-by-step explanation:
$2,850- 15% (427.5)= 2422.5
You could also multiply $2850 * 0.85= $2,422.5
What is the area of this figure?
Please help
Area of centre rectangle
(8+6+2)(7)(16)(7)112mm²Area of right rectangle
6(3)18mm²Area of triangle
1/2(16-12)(8)4(4)16mm²Total
16+18+112146mm²Simplify the rational expression
x^4 y^2/xy^7.
Answer: [tex]x^3y^9[/tex]
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): Dot was discarded near "7.".
STEP 1:
Simplify [tex]\frac{y^2}{x}[/tex]
The equation at the end of step 1:
[tex]((x^4)*\frac{y^2}{x} )*y^7[/tex]
Multiplying exponential expressions:
2.1 [tex]y^2[/tex] multiplied by [tex]y^7[/tex] [tex]=y^(2+7)=y^9[/tex]
Final result is [tex]x^3y^9[/tex]
URGENT PLEASE HELP!!
Write the equation of the given line in slope-intercept form:
Answer:
y = -3x - 1
Step-by-step explanation:
The slope intercepts the y-axis at -1, and moves down 3 on the y for every one space right on the x-axis
If ( x - y ) = 2 and xy = 3 find the value of...
[tex] {x}^{3} + {y}^{3} [/tex]........
Answer: 4:7
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Given :
x - y = 2xy = 3Solving :
2 values which satisfy the given conditions are x = 3 and y = 1Evaluating the expression :
x³ + y³(3)³ + (1)³27 + 128‼️ See Picture ‼️Select the reason that best supports Statement 5 in the given proof.
The reason that best supports statement 5 is: B. multiplication property of equality.
What is the Multiplication Property of Equality?When you multiply both sides of an equation by the same quantity, you have applied the multiplication property of equality.
In statement 5, both sides of the equation was multiplied by 2. Therefore, the best reason is: B. Multiplication Property of Equality.
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Which of the following figures has a circumference that is closest to 121 inches?
A
a circle with a diameter of 38.5 inches
B
a circle with a diameter of 19.3 inches
C
a circle with a radius of 38.5 inches
D
a circle with a radius of 6.2 inches
Answer:
A.
Step-by-step explanation:
C = 2πr = πd
A. C = π(38.5 in.) = 120.95 in.
First guess: Answer: A.
Write the equation of the line that passes through the points (4,-5)(4,−5) and (4,-7)(4,−7). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
well, it's a vertical line, so, Check the picture below.
Part B
Morgan said that the difference between the heaviest loaf of bread and the lightest loaf of bread is 1 1/2 ounces. Do you agree with Morgan? Explain
also this is worth 35 points pls help!!
Answer:
Morgan is incorrect because 24 1/2- 22 3/4=1 3/4
Step-by-step explanation:
24 ¹/²- 22 ³/⁴=1 ³/⁴
Denice made 9 identical bags using 4 yards of fabric. How much fabric did denice use for each bag
Answer:
Denice would have used 2.25 (or 2 1/4) yards of fabric for each bag.
Step-by-step explanation:
First, you have the 9 bags you are making and they all must be the same because they are identical, so you divide the nine bags by the four yards and I got an answer of 2.25 yards per bag. The answer can also be 2 1/4 as well.
What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?
A. 4
B. 8
C. 80
D. 200
200
Step-by-step explanation:
1/5x -2/3y =30
Plug in 15 for y.
x-(15)= 30
2/3x of 2/3(15) is 10.
1/5x -10-30
Add 10 to each side.
1/5x = 40
Divide each side by 1/5.
(dividing by a fraction is the same as multiplying by its reciprocal...flip 1/5...*5)
x=200
Write and solve an equation to find the measure of angle X.
Answer:
x = 43°
Step-by-step explanation:
In order to find the measure of angle x we'll use Vertical Angles Theorem.
x = 180° - (90 + 47)x = 180° - 137x = 43°Therefore, the measure of angle x is 43° ✓.
«•••••••••••••••••»
16 km
12 km
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
С
kilometers
What is the quotient when (x+3) is divided into the polynomial 2x2 + 3x-9?
O A. 2x-5 with no remainder
B. X+ 3 with a remainder of -2
O c. 2x+ 1 with no remainder
D. 2x-3 with no remainder
Problem: 2x^2+3x-9
For a polynomial of the form, ax^2+bx+c rewrite the middle term as the sum of two terms whose product a·c=2·-9=-18 and whose sum is b=3.
Factor 3 out of 3x
2x^2+3(x)-9
Rewrite 3 as -3 plus 6.
2x^2+(-3+6)x-9
Apply the distributive property
2x^2(-3x+6x)-9
Remove the parentheses
2x^2-3x+6x-9
Factor out the greatest common factor from each group
Group the first two terms and the last two terms
(2x^2-3x) (6x-9)
Factor out the greatest common factor in each group.
x(2x-3)+3(2x-3)
Factor the polynomial by factoring out the greatest common factor, 2x-3
(x+3) (2x-3). So, the quotient is 2x-3
Thus, the correct answer is Option D 2x-3 with no remainder
Yuna grows two varieties of pears—Bosc and Anjou. She took a sample of each variety to test if their average caloric contents were significantly different. Here is a summary of her results:
Calories
Variety nnn Mean StDev SE mean
Bosc 656565 120120120 151515 1.861.861, point, 86
Anjou 656565 116116116 131313 1.611.611, point, 61
99\% \text{ CI for } \mu_\text{B} - \mu_{\text{A}}\text{:}99% CI for μ
B
−μ
A
:99, percent, start text, space, C, I, space, f, o, r, space, end text, mu, start subscript, start text, B, end text, end subscript, minus, mu, start subscript, start text, A, end text, end subscript, start text, colon, end text 4 \pm 6.444±6.444, plus minus, 6, point, 44
Yuna wants to use these results to test \text{H}_0\text{: }\mu_\text{B}=\mu_\text{A}H
0
: μ
B
=μ
A
start text, H, end text, start subscript, 0, end subscript, start text, colon, space, end text, mu, start subscript, start text, B, end text, end subscript, equals, mu, start subscript, start text, A, end text, end subscript versus \text{H}_\text{a}\text{: }\mu_\text{B} \neq \mu_\text{A}H
a
: μ
B
=μ
A
start text, H, end text, start subscript, start text, a, end text, end subscript, start text, colon, space, end text, mu, start subscript, start text, B, end text, end subscript, does not equal, mu, start subscript, start text, A, end text, end subscript. Assume that all conditions for inference have been met.
Based on the interval, what do we know about the corresponding P-value and conclusion at the \alpha=0.01α=0.01alpha, equals, 0, point, 01 level of significance?
Answer:
The P-value is greater than α=0.01 and she cannot conclude that there is a difference between the means.
Step-by-step explanation:
did the khan assignment
Consider the line 9x+8y=-2.
Find the equation of the line that is parallel to this line and passes through the point (-3, 2).
Find the equation of the line that is perpendicular to this line and passes through the point (-3, 2).
Equation of parallel line:
Equation of perpendicular line:
Considering the definition of parallel and perpendicular line:
the equation of parallel line is y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{11}{8}[/tex].the equation of of perpendicular line is y= [tex]\frac{8}{9}[/tex]x + [tex]\frac{14}{3}[/tex].Linear equationA linear equation o line can be expressed in the form y = mx + b.
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Parallel lineParallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.
Two lines are parallel if they have the same slope and different y-intercepts. That is, they have the same value of m and different value of b.
Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of parallel line in this caseIn this case, the line is 9x+8y=-2. Expressed in the form y = mx + b, you get:
8y= -2 - 9x
y= (-9x -2)÷ 8
y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{1}{4}[/tex]
Two lines are parallel if they have the same slope. So, in this case, the parallel line has a slope of -[tex]\frac{9}{8}[/tex] and has a form of: y= -[tex]\frac{9}{8}[/tex]x + b
The line passes through the point (-3, 2). Replacing in the expression for parallel line:
2= -[tex]\frac{9}{8}[/tex]× (-3) + b
2= [tex]\frac{27}{8}[/tex] + b
2- [tex]\frac{27}{8}[/tex]= b
- [tex]\frac{11}{8}[/tex]= b
Finally, the equation of parallel line is y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{11}{8}[/tex].
Equation of perpendicular line in this caseThe line is y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{1}{4}[/tex].
If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of -[tex]\frac{9}{8}[/tex]. So:
-[tex]\frac{9}{8}[/tex]× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-[tex]\frac{9}{8}[/tex])
slope perpendicular line= [tex]\frac{8}{9}[/tex]
So, the perpendicular line has a form of: y= [tex]\frac{8}{9}[/tex]x + b
The line passes through the point (-3, 2). Replacing in the expression for parallel line:
2= [tex]\frac{8}{9}[/tex]× (-3) + b
2= -[tex]\frac{8}{3}[/tex] + b
2+ [tex]\frac{8}{3}[/tex]= b
[tex]\frac{14}{3}[/tex]= b
Finally, the equation of of perpendicular line is y= [tex]\frac{8}{9}[/tex]x + [tex]\frac{14}{3}[/tex].
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HELP PLS
The function of F is defined by f(x)=x+2
find F(n-4)
Answer:
Step-by-step explanation:
f(n - 4)= n - 4 + 2 = n - 2
Hi! Emergency. Please answer! I'll mark brainilest. :)))
A triangle has sides of lengths a=37, b=39, c=63 ft.
Find the measures of the 3 angles
Enter your answer as a number; answer should be accurate to 2 decimal places.
Angle A =
°
Angle B =
°
Angle C =
°
Answer:
angle A: 33.005
Angle B: 35.04
Angel C: 111.955
Step-by-step explanation:
look at attached image for more info
Hope it helps! Have a wonderful day
