Answer:
Period = [tex]\frac{\pi }{4}[/tex]
Amplitude = 4
Step-by-step explanation:
To find the answer, use the form acos(bx - c) + d:
a = -4
b = 8
c = 0
d = 0
The amplitude is the absolute value of a, so:
|a| = |-4| = 4
To find the period, use this equation:
[tex]\frac{2\pi }{b}[/tex]
Replace b with 8 in the formula and solve:
[tex]\frac{2\pi }{8} = \frac{\pi }{4}[/tex] Simplify
So, the period is equal to [tex]\frac{\pi }{4}[/tex]
Hope this helps!!
Jon has 18 apple and mia gives him 3 times more than he has how many dose jon have know and how many did mia give jon
Answer:
18x3=54
Mia gave Jon 54 apples
54+18=72
Now Jon has 72 apples
Find the sum.
-85+ (-81) + (-77)+...+31 + 35
Answer:
The sum of all the terms is -775.
Step-by-step explanation:
This appears to be an arithmetic sequence, with a common difference of 4.
The problem is, we don't know how many terms there are!
To find this, use the following formula:
last number = first number + (n - 1) * difference
In this case:
35 = -85 + (n - 1) * 4
35 = -85 + 4n - 4
4n = 124
n = 31
This means there are 31 terms in this sequence.
Now, for the sum. Use the following formula:
n(first number + last number), take this product and divide it by 2.
In this case:
31(-85 + 35) = -1550 / 2 = -775
Both circles have the same center. What is the area of the shaded region?
Answer:
21
Step-by-step explanation:
The beginning mean wage in a certain industry is $35,240.00. If the mean wage grows by 5.125%, what is the new mean wage?
Answer:
$37046.05
Step-by-step explanation:
new mean wage = beginning mean wage x (105.125%)
= 35240 x 105.125%
= 37046.05
Answer:
$37,046.05
Step-by-step explanation:
New mean wage :
Original mean wage (1 + % increase)$35,240.00 (1 + 5.125%)$35,240.00 (1.05125)$37,046.05Explore rectangular and triangular prisms and their two-
Answer:24
Step-by-step explanation:
g(1) = 0
=
lgn= ) +m
g(n) = g(n - 1) +n
=
-
n
g(2) =
Answer:
g(1) = 0
=
lgn= ) +m
g(n) = g(n - 1) +n
=
-
n
g(2) =12
Step-by-step explanation:
12345678910
A roll of tape has a circumference of 19 centimeters. The circumference decreases 4 centimeters after you use some of the tape. What is the diameter of the roll after you use the tape?
QUICK PLS
Answer:
4.77 cm correct to the nearest hundredth.
Step-by-step explanation:
The new circumference = 19 - 4 = 15 cm.
Circumference C = π * diameter
So the diameter = C/π = 15/π = 4.7746 cm
Some residuals for a scatterplot are given. for x = 3, the residual is –5. for x = 5, the residual is –1. for x = 7, the residual is 3. for x = 9, the residual is 0. for which value of x is the data point farthest from the line of best fit? 3 5 7 9
The value of x that is the data point farthest from the line of best fit is 3
How to determine the x value farthest from the line of best fit?The given parameters are:-
x Residual
3 -5
5 -1
7 3
9 0
Take the absolute value of the residuals
x Residual
3 5
5 1
7 3
9 0
The largest absolute value is 5
Hence, the value of x that is the data point farthest from the line of best fit is 3
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Answer:
answer is 3
Step-by-step explanation:
Which kind of triangle is shown? Help me
Answer: Right triangle
Step-by-step explanation: There is a 90 degree angle diagonal from the hypotenuse
Answer:
right triangle
Step-by-step explanation:
if you double the triangle, it becomes a rectangle
Using the data set below, what is the range?
4,6,6,7,7,8,8,8,9A
5
B
2
C
4
Answer:
A
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is
9 - 4 = 5
uhhh what is this this looks very hard
Answer:
B. x ≤ 5
Step-by-step explanation:
This is an inequality problem. It can be solved by examining the arrow and the point it closes on. If the arrow is going left, then all values of x are going to be less than the point it closes on. If the arrow is going right, then all values of x are going to be greater than the point it closes on.
If the circle on the point the arrow is closed/shaded in, then that value will be included in the values of x, giving the inequality either a ≤ or ≥ sign depending on which way the arrow is pointing. If the circle on the point the arrow is open, then that value will not be included in the values of x. The sign will be either < or >.
---------------------------------------------------------------------------
For this problem, the arrow is going to the left of 5, which means all values of x are going to be less than 5. Because the circle is closed, that means that number 5 is included, or x can be equal to 5. If the circle was open, it wouldn't be included. So, the inequality is x ≤ 5.
hope this helps!
Find the measures of the missing angles. The triangle is not drawn to scale.
108
A=
B= 31
PLEASEE HELP
Answer:
41 degrees
Step-by-step explanation:
Angles in a triangle add to 180 degrees, so angle A is 180-108-31=41 degrees.
dina started swimming at 3:38 p.m. She swam until 4:15 p.m. How long did dina swim?
Answer:
Dina swam for 37 minutes
Step-by-step explanation:
Dina started swimming at 3:38 p.m
There are 60 minutes in a hour so 60 - 38 = 22
22 is the remaining time in the hour she swam
She swam until 4:15 p.m.
She swam 15 minutes pass the hour
Total Time: 22 minutes + 15 minutes = 37 minutes
Answer part 1 and part 2 please I need help
Step-by-step explanation:
Step 1: Answer the first question
Area of a triangle → [tex]A = \frac{b*h}{2}[/tex]
[tex]\frac{4*6}{2}[/tex]
[tex]\frac{24}{2}[/tex]
[tex]12[/tex]
Total Area → [tex]12 * 2=24[/tex]
Answer: Option D, [tex]24\ square\ units[/tex]
Step 2: Answer the second question
We know that the total side length is 12 but we also know that the triangle base is 4 so we would subtract that from the total length and we get that the rectangle length is 8. We also know that the width is 6 so we multiply 8 by 6 and we add 24. This matches option B
Answer: Option B, [tex](8 * 6 + 24)\ square\ units[/tex]
Answer:
Its 24 for both combined (A)
Step-by-step explanation:
i would say for part B it would be B
What is the area of ΔABC to the nearest tenth of a square inch?
PLEASE SHOW WORK!
Answer:
1440.1 in^2
Step-by-step explanation:
I drew a picture with work; hopefully this is the equation you're using in the lesson.
Item 7 Lakima has a spinner divided into 5 equal sections that are labeled 1 though 5. She wants to compare the theoretical probability and the experimental probability of spinning an odd number. She spins the spinner 6 times and records the results in this list. {2,4,1,5,3,4} Drag and drop the answers into the boxes to correctly complete the sentences. The theoretical probability of spinning an odd number is equal to Response area. The experimental probability of spinning an odd number is equal to Response area. Therefore, the theoretical probability of spinning an odd number is Response area the experimental probability of spinning an odd number.
The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the spinner has 5 sections, each section is numbered between 1 to 5. Lakima also spins the spinner 6 times and records the results in this list. {2,4,1,5,3,4}. Therefore,
The theoretical probability of spinning an odd number is equal to 3/5.
The experimental probability of spinning an odd number is equal to 3/6=1/2.
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Answer: The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2. Therefore, the theoretical probability of spinning an odd number is GREATER THAN the experimental probability of spinning an odd number.
Step-by-step explanation:
Half dollar coins weigh 4 ounces and quarters weigh
0.2 pound, Laurel has 9 half dollar coins and 25 quarters in
her coin bank. Her coin bank weighs 2 pounds. Laurel lifts the
coin bank. How much does the bank and the coins weigh?
(A) 43 ounces
(C) 118 ounces
(B) 88 ounces
(D) 148 ounces
Answer:
A roll of quarters from the bank is worth $10 and weighs almost exactly half a pound, so 200 pounds works out to $4000.
A shoe box has a volume of 64 cubic inches and a
surface area of 160 square inches. What is the surface
area of a similar shoe box if its volume is only 27 cubic inches? Show your work or explain how you got your answer
The surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches
How to solve ratio?Box A:
volume = 64 cubic inchesSurface area = 160 square inchesBox B:
volume = 27 cubic inchesSurface area = xVolume : surface area
64 : 160 = 27 : x
64/160 = 27/x
64 × x = 160 × 27
64x = 4,320
x = 67.5 square inches
Therefore, the surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches
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please help me ...................
The figure is the combination of a square, a rectangle, and a triangle. Then the area of the figure will be 213 mm².
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is the combination of a square, a rectangle, and a triangle. Then the area of the figure will be
Area of square = 4 x 4
Area of square = 16 mm²
Area of rectangle = 7 x 9
Area of rectangle = 53 mm²
Area of triangle = 0.5 x 24 x 12
Area of triangle = 144 mm²
Then the area if the figure will be
Area of the figure = 16 + 53 + 144
Area of the figure = 213 mm²
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The circumference of a circle is 24π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.
Given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².
What is a circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area and circumference of a circle is expressed mathematically as;
A = πr²C = 2πrWhere A is area, C is circumference, r is radius and π is constant pi.
Given the data in the question;
Circumference of the circle C = 24π cmArea A = ?First, we determine the radius of the circle.
24π cm = 2πr
r = 24π cm / 2π
r = 12cm
Now, we find the area.
A = πr²
A = π × (12cm)²
A = π × 144cm²
A = 144πcm²
Therefore, given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².
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For the region bounded by y=3x, the x-axis, and x=4, determine the volume when
The area bounded by the line y=3x from limits x=0 to x=4 will be 24.
What is integration?
Integration is defined as the adding up all the small units to find the whole unit.
It is given in the question that the line y=3x is making a region in a plane from the limits x= to x=4.
So by integrating the function we will get the area.
[tex]\int\limits^4_0 y=\int\limits^4_0 {3x} \, dx[/tex]
[tex]\int\limits^4_0 y=3 \int\limits^4_0 {x} \, dx[/tex]
[tex]\int\limits^4_0 y=[\dfrac{3x^2}{2}]^4_0[/tex]
[tex]\int\limits^4_0 y= \dfrac{(3\times (4)^2)}{2}[/tex]
[tex]\int\limits^4_0 y= 24[/tex]
hence the region bounded by the line y=3x will have the area of 24 square units.
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Jahiem is creating a decoration on the floor in the following pattern,
How many more tiles of each shape will he need so that the figure is symmetrical over the horizontal
and vertical lines?
There are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.
What is symmetry?Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it, to show that both sides of the shape are exactly the same.
The given figure will become symmetrical when 3 red Hexagones, 3 blue triangles and 5 orange rectangle added to the right portion.
Hence there are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.
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Which parent function is represented by the graph
Robert is baking a cake. The recipe calls for 3 1/2 pounds of flour for every 1/4 cup of sugar. How many pounds of flour should Robert use for 2 cups of sugar??
PLS HELP ASAP THANK YOU ;)
Answer:
x=2
Step-by-step explanation:
5x-5 = x+3
4x=8
x=2
What’s the domain and range
Step-by-step explanation:
the domain is the interval or set of all valid x-values for the function.
and the range is the interval or set of all valid y-values (functional result values) for the function.
so, we can see here that the function would create results for all x in (- infinity, + infinity). that is the domain.
now, what result values (y-values) are possible ?
we see, that the smallest functional value is y = -2.
and from there all y-values up to +infinity are possible.
so, the range is [-2, +infinity).
please consider the chosen brackets. the "[" means the value is included in the function, a "(" means that that particular interval end value is excluded. anything bigger or smaller might be valid but not this one value.
and infinity is not a value. hence they are not included in such intervals.
help please pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
B, C, E
Step-by-step explanation:
the dependent variable depends on the independent variable
thus, p is dependent on t, p is the dependent variable, and t is the independent variable (B)
every month, Gloria paints 2 pieces
each month, t is increased by 1, and p is increased by 2 (C)
every month, Gloria paints 2 pieces
2 pieces every month = (2*t) pieces = total pieces = p (E)
Can someone help me, please
Answer:20 pints of blue paint and 8 pints of yellow paint
Step-by-step explanation:
5 pints of blue and 2 pints of yellow make 7 pints of green. (5 + 2 = 7)You must do this four times to get 28 pints of green. (4 · 7 = 28)So you need 20 (4 · 5) pints of blue and 8 (4 · 2) pints of yellow.
Estimate:
11 is 50% of what number?
A 20
B 40
C 60
D 5
Answer:
50% of a number means that we are taking half of a number. Since 11 is 50% of a number that means that we need to multiply 11 by 2 to get the original number. When we multiply 11 by 2 we get 22 and that is closest to option A which is 20.
Answer: Option A, [tex]20[/tex]
Several students made comments about this image.
A triangle has angles B, C, D. The exterior angle to angle B is A.
Which comment is true?
“If I know the measures of A and B, I can subtract those measures from 180 to find the measures of the other two angles.”
“If I know the measure of C, I can find the measure of angle A because they are the same.”
“If I know the measures of angles C and B, I can find the measures of A and D.”
“If I know the measure of angle A, I can find the measure of angle D by subtracting from 180
Answer:
The third comment is the true one: "If I know the measures of angles C and B, I can find the measures of A and D."
This is because you can use the angle B to find angle A by subtracting it from 180, and you can find angle D by adding together C and B and subtracting that from 180.
I hope this helps!
Step-by-step explanation: