Answer:
x = 8
Step-by-step explanation:
40 + 6x + 2 = 90 {Complementary angles}
Combine like terms
40+ 2 + 6x = 90
42 +6x = 90 {Subtract 42 form both sides}
6x = 90 - 42
6x = 48 {divide both sides by 6}
6x/6 = 48/6
x = 8
Answer:
320 degrees
Step-by-step explanation:
240 degrees+80 degrees = 320 degrees
i hope this helps
(Question 2 : Select the best answer for the question.)
Temp:
14.2°, 16.4°, 11.9°, 18.5°, 19.4°, 25.1°, 23.4°, 18.1°, 22.6°, 17.2°, 14.2°, 16.4°
Sales:
$205, $335, $183, $407, $415, $617, $549, $424, $449, $411
—2. A local ice cream shop tracks the amount of ice cream they sell each day, along with the high temperature of that day (in°C). The table shows a sample of 10 days from one particular month. Which of the following best describes the relationship between high temperature and ice cream sales?
A. Basically linear and negative
B. Basically linear and positive
C. Curved and positive
D. Curved and negative
Answer:
B is the answer i think
Step-by-step explanation:
because its lenear and positive...
Rebecca is planning a road trip to her school. She looks at a map that has a scale of 1/4 inch to 25 miles. The road distance between her home town and her school measures 7 inches on the map. If d represents the road distance between the two towns, what is d?
A. 28 mi.
B. 100 mi.
C. 175 mi.
D. 700 mi.
Answer:
Answer option D: "700 mi."
Step-by-step explanation:
8 16 and 24 these numbers are what of 8
Answer:
8 16 and 24 these numbers are factors of 8. Sorry if this is incorrect.
Hope this helps, have a great day, stay safe and have a great weekend!
Also Happy Halloween.
Answer:
these are multiples of 8 (multiples are the product of 2 numbers)
Step-by-step explanation:
in this case 8*1=8
8*2=16
and 8*3=24
multiplying 8 by another number creates these numbers
Can someone help please??
ASAP
The volume of the crayon given it's dimensions is 4,647.9 mm³
The surface area of the crayon is 2,388.9 mm².
What is the volume and surface area of the crayon?Cylinder:
r = d/2
= 8.5 mm/2
= 4.25 mm
h = 80 mm
Cone
r = d/2
= 6.5 mm/2
= 3.25 mm
h = 10 mm
Volume of a cylinder = πr²h
= 3.14 × 4.25² × 80
= 3.14 × 18.0625 × 80
= 4,537.3 mm³
Volume of a cone = 1/3πr²h
= 1/3 × 3.14 × 3.25² × 10
= 1/3 × 3.14 × 10.5625 × 10
= 331.6625/3
= 110.5541666666666
Approximately,
110.6 mm³
Volume of the crayon = Volume of a cylinder + Volume of a cone
= 4,537.3 mm³ + 110.6 mm³
= 4,647.9 mm³
Surface area of a cone = πr (r + √h² + r²)
= 3.14 × 3.25(3.25 + √10² + 3.25²)
= 3.14 × 3.25(3.25 + √100 + 10.5625)
= 3.14 × 3.25 (3.25 + √110.5625)
= 3.14 × 3.25(3.25 + 10.5)
= 3.14 × 3.25(13.75)
= 3.14 × 44.6875
= 140.3 mm²
Surface area of a cylinder = 2πrh + 2πr²
= 2×3.14×4.25×80 + 2×3.14×4.25²
= 2,135.2 + 113.4325
= 2,248.6 mm²
Surface area of the crayon = Surface area of a cone + Surface area of a cylinder
= 140.3 mm² + 2,248.6 mm²
= 2,388.9 mm²
Hence, 2,388.9 mm² and 4,647.9 mm³ is the surface area and volume of the cone.
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Laura deposit $3000 into an account that pays simple interest at a rate of 2% per year how much interest will she be payed for the first 6 years
Answer:
$3,795.96
Step-by-step explanation:
Base amount: $3,000.00
Interest Rate: 4% (yearly)
Effective Annual Rate: 4%
Calculation period: 6 years
What is 30% of 35,000?
Answer:
30% of 35,000 is going to be 10,500
Step-by-step explanation:
Sumaya has 105 apples, she gave Adelina 42. How many apples does Sumaya now
have?
Multiplication
Subtraction
Addition
Division
What is the definition of a mean?
Answer:
There are several kinds of mean in mathematics, especially in statistics. For a data set, the arithmetic mean, also called the expected value or average, is the central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values.
Step-by-step explanation:
Use zero- through third-order Taylor series expansions to predict f(2, 7) for f(x) = cos(3x) using a base point of x_0 = 2.5. For each approximation, list the following:
a. Approximate value of f(2, 7)
b. On what order of the step size h is the truncation error?
c. Compute the true percent relative errors, epsilon_t, for each approximation.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Given:
[tex]\bold{f(x) = cos(3x)}\\\to f'(x) = - 3 sin (3x)\\\to f''(x) = - 9 cos (3x)\\\to f'''(x) = 27 sin (3x)\\[/tex]
Similarly:
[tex]\bold{f(2.5)' = cos(6.75)}\\\to f'(2.5) = - 3 sin (6.75)\\\to f''(2.5) = - 9 cos (6.75)\\\to f'''(2.5) = 27 sin (2.5)\\[/tex]
calculating the order values [tex]\longrightarrow \cos(6.75)[/tex]:
In the 1st order:
[tex]\to cos(6.75) + (x-2.5) 3 sin (6.75)[/tex]
In the 2nd order:
[tex]\to cos(6.75) + [1- \frac{(x-2.5)^2}{2}9] + (x-2.5) 3 sin (6.75)[/tex]
In the 3rd order:
[tex]\to cos(6.75) + [1- \frac{9(x-2.5)^2}{2}] + 3 sin (6.75)(3(x-2.5) - \frac{27}{6} (1-2.5))[/tex]
In point a:
[tex]\boxed{\left\begin{array}{cccc}{Zero&First &Second&Third}\\0.993068457& 0.420690485&9.2635909&16.0135909\\\end{array}\right}[/tex]
In point b:
[tex]\boxed{\left\begin{array}{cccc}{First &Second&Third&Fourth}\\0.993068457& 0.420690485&9.2635909&16.0135909\\\end{array}\right}[/tex]
In point C:
At this point, data is missing.
Write the equation for an absolute value function with the following transformations:
translate left 9 units, stretch by a factor of 5, and translate down 23 units
Answer:
j(x) = 5 |x+9|-23
Step-by-step explanation:
f(x) = |x|
translate left 9 units
y = f(x + C) C > 0 moves it left
g(x) = |x+9|
translate down 23 units
y = f(x) + C C < 0 moves it down
h(x)= |x+9|-23
stretch by a factor of 5
y = Cf(x) C > 1 stretches it in the y-direction
j(x) = 5 |x+9|-23
Raina runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answer:
2.4miles
Step-by-step explanation:
3/25 = x/20
60/25=x=2.4miles
Set up a ratio:
3/25 = x/20
Cross multiply:
3x 20 = 25x
60 = 25x
Divide both sides by 25
X = 2.4 miles
In 1999, 68% of households with TV’s subscribed to cable TV. If 8,000 more subscribers are added to the number of households with cable, the total number of households with cable TV would be 67,600,000. How many households were there with TV in 1999?
Answer:
45962560
Step-by-step explanation:
2(3x - 2) - 11x = -5x
Is this Infinitely many solutions?
Answer:
no solutions
Step-by-step explanation:
2(3x - 2) - 11x = -5x
Distribute
6x -4-11x = -5x
-5x-4 = -5x
Add 5x to each side
-5x-4+5x = -5x+5x
-4 = 0
This is never true so there are no solutions
Please help me solve this fast!
Answer:
1) 7/8 8/7
2) 4.4
3) 3.7
4) 2.8
Step-by-step explanation:
Length of bottom side of Figure A: 8 cm
Length of bottom side of Figure B: 7 cm
From Figure A to Figure B, the scale factor is 7/8.
7/8
8/7
5 × 7/8 = 35/8 = 4.375
4.4
3.2 × 8/7 = 3.657...
3.7
3.2 × 7/8 = 2.8
2.8
given that f(x)=x^2-5x+6 evaluate the function
The function f(x) = x^2-5x+6 can be evaluated at any value of x by substituting the value into the function and simplifying the expression. We can also graph the function to see what it looks like.
To evaluate the function, we need to substitute a value for x and simplify the expression. We can evaluate the function f(x) = x^2-5x+6 by following these steps:
Step 1: Given that f(x)=x^2-5x+6
Step 2: Substitute a value for x into the function. Let's say x = 2. We will evaluate f(2).f(2) = 2^2 - 5(2) + 6f(2) = 4 - 10 + 6f(2) = 0Step 3: The value of the function at x = 2 is 0.
Therefore, f(2) = 0.We can evaluate the function at any value of x by following the same steps.
The key is to substitute the value for x into the function and simplify the expression. For example, if we wanted to evaluate the function at x = 1, we would follow these steps:f(1) = 1^2 - 5(1) + 6f(1) = 1 - 5 + 6f(1) = 2
Therefore, f(1) = 2.We can also graph the function to see what it looks like. The graph of f(x) = x^2-5x+6 is a parabola that opens upward. The vertex of the parabola is located at the point (2.5, -1.25).
The x-intercepts of the parabola are located at the points (2, 0) and (3, 0). The y-intercept of the parabola is located at the point (0, 6). The graph of the function is shown below:
Overall, the function f(x) = x^2-5x+6 can be evaluated at any value of x by substituting the value into the function and simplifying the expression. We can also graph the function to see what it looks like.
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Please help. Image is down below
Answer:
$14.8, so its a decrease in the cost
Step-by-step explanation:
10% of 18.50 is 1.85
1.85 x 2 = 3.7
18.50 - 3.7 = 14.8
Find the probability that a randomly selected point within the circle falls in the red-shaded circle.
The probability that a randomly selected point within the circle falls in the red-shaded circle is 0.4 or 40%.
To solve this problem, we need to find the area of the red shaded region of the circle and divide it by the area of the entire circle. Since we know that the radius of the circle is 4 cm and the radius of the red shaded circle is 8 cm, we can easily calculate the area of both circles.
To calculate the area of the entire circle, we use the formula:
Area of a circle = πr², Where r is the radius of the circle.
Substituting r = 4 cm, we get:
Area of circle = π(4)²= 16π sq. cm
To calculate the area of the red shaded region, we use the same formula: Area of a circle = πr²
Where r is the radius of the circle.
Substituting r = 8 cm, we get:
Area of red shaded circle = π(8)²= 64π sq. cm
Now we can find the probability that a randomly selected point within the circle falls in the red shaded circle by dividing the area of the red shaded circle by the area of the entire circle:
Probability = Area of red shaded circle/Area of entire circle= 64π/16π= 4
Therefore, the probability that a randomly selected point within the circle falls in the red shaded circle is 4/10, which can be simplified to 0.4 or 40%.
Summary: The probability that a randomly selected point within the circle falls in the red-shaded circle is 0.4 or 40%. This can be calculated by finding the area of the red shaded region of the circle and dividing it by the area of the entire circle. The radius of the entire circle is 4 cm, and the radius of the red shaded circle is 8 cm.
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Lisa purchased almonds for $3.50 per pound. She spent a total of $14.70. How many
pounds of almonds did she purchase?
Answer:
4.2
Step-by-step explanation:
Please help! THank you!
Answer:
the slope is positive
Step-by-step explanation:
the numbers on the g(x) is going up so its positive
GIVE ME THE INVERSE EQUATION
f (x) = -2x + 3
Answer:
f⁻¹(x) = -(x - 3)/2
Step-by-step explanation:
Step 1: Write equation
f(x) = -2x + 3
y = -2x + 3
Step 2: Find inverse
x = -2y + 3
x - 3 = -2y
y = (x - 3)/-2
y = -(x - 3)/2
f⁻¹(x) = -(x - 3)/2
Given: m∠9 = 50° and m∠5 = 42°. Find the m∠14. Just type the number of the answer in the answer box.
Answer:
138°Step-by-step explanation:
∡5 = 42°
find: ∡ 14
solution:
since ∡5 = ∡13 = 42°
∡14 = 180 - ∡13
= 180 - 42
= 138°
simplify 4 + y + (-2)
Step-by-step explanation:
4 + y + (-2)
= 4 + y - 2
= 4 - 2 + y
= 2 + y
Ways to write 58.25?
Answer:
58 1/4, 233/4, 5825%
Step-by-step explanation:
Answer:
You can write as a fraction, a percentage, and in word form
Step-by-step explanation:
. What integer represents a gain of 3 yards?
In a two candidate election, Amanda received 7 times as many votes as Joshua. If a total of 16 votes were cast, then how many votes did Joshua receive?
Answer:
2 votes
Step-by-step explanation:
It is 7 times joshua so we can write that as 7j
16 is the total so we are going to put an equal sign before that
7j=16
To solve, isolate j
To do that divide by 7 on each side
you get 2.28 votes but you can't have a fraction of a person voting so it would be 2 votes
a line has a slope of 1/2 and a y intercept of -2
what is the the x intercept of the line?
Answer:
x-intercept = (4,0)
Step-by-step explanation:
Slope = 1/2
y-intercept = -2
x-intercept =?
Step 1 ; Use the given information to derive the equation of the line.
Substitute values into ; y=mx+b
Where m = slope
b = y-intercept
Equation = [tex]y =\frac{1}{2} x -2[/tex]
Step 2 ; Calculate the x-intercept
Arrange the equation in standard form ; Ax +By = C
[tex]-\frac{1}{2} x +y = -2[/tex]
Let y = 0
[tex]-\frac{1}{2}x+0=-2\\ \\-\frac{1}{2}x = -2[/tex]
Cross Multiply
[tex]-x\times 1 =-2\times 2\\\\-x = -4\\\\x =4\\\\(4,0)[/tex]
So ; (4,-2)
doors for for the small cabinets are 15.5 in Long doors for the large cabinets or 2.5 times as long as the doors for the small cabinets how many large doors can be cut from a board that is 10 ft long
find the missing number 1,2,6,15,31___?
4
5
6
7
8
9
10
11
12
13
14
16
17
19
20
21
22
23
24
25
26
27
28
29
30
if the coordinate of a is (0,-2) and the coordinate of (10,-6) then midpoint of ab is
Answer:
(5,-4)
.......
Rewrite the following expression. x -9/7
Answer:
(7x - 9)/7
Step-by-step explanation:
x - 9/7 = 7x/7 - 9/7 = (7x - 9)/7
