Answer:
32
Step-by-step explanation:
Possible outcomes in a fair sided die 1,2,3,4,5,6 = 6 possible outcomes
Odd numbers = 1,3,5 = 3 odd numbers
Probability of rolling an odd number = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
Total number of rolls = 64
expected number of odd number rolls in 64 roll,
= [tex]\frac{1}{2}[/tex] x 64 = 32
What is the midpoint of AB?
G
H
I
B
+
-9
A
+ +
-8 -7 -6
+
-5
F
+ +
-4 -3
+ +
-2 -1
+
0
1
2
3
+
4
+
5
+
6
+
7
8
9
Opoint F
O point
point H
Opoint
The midpoint between AB is at point G
Data;
A = -6F = -2G = 1H = 2 I = 3Midpoint of ABThe midpoint of AB can be found as the middle between point A and point B.
Point A starts from -6 and point B is at 8.
If we look through this, the midpoint between A and B is 1 which falls at point G
The midpoint between AB is at point G
Learn more on midpoint of a line here;
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Multiply or divide as indicated. Y^-9•y^-8•y^10
Answer:
1 / y^7
Step-by-step explanation:
Y^-9•y^-8•y^10
= y^10 / y^9•y^8
= y^10 / y^17
= 1 / y^7
Answer: The answer is y^-7
Solve this quadratic equation by completing the square.
Answer:
C
Step-by-step explanation:
x² + 6x = 18
To complete the square, take the coefficient of the x term, halve it, square the result, then add to both sides.
(6/2)² = 3² = 9
x² + 6x + 9 = 18 + 9
(x + 3)² = 27
x + 3 = ±√27
x = -3 ± √27
Find the perimeter of each of the two noncongruent triangles where a = 15, b = 20, and A = 29°
Answer with explanation:
Using Sine Rule for Congruence of Triangles
[tex]\Rightarrow\frac{a}{\ SinA}=\frac{b}{\ Sin B}=\frac{c}{\ Sin C}\\\\\Rightarrow\frac{15}{\ Sin29^{\circ}}=\frac{20}{\ Sin B}\\\\\Rightarrow\frac{15}{0.49}=\frac{20}{\ Sin B}\\\\\Rightarrow \ SinB=\frac{20 \times 0.49}{15}\\\\\Rightarrow \ SinB=\frac{9.8}{15}\\\\\Rightarrow \ SinB=0.65\\\\B=41^{\circ}[/tex]
Using Angle Sum Property of Triangle
⇒∠A+∠B+∠C=180°
⇒29°+41°+∠C=180°
⇒∠C=180°-70°
⇒∠C=110°
→Again Using Sine Rule
[tex]\Rightarrow \frac{b}{\ Sin B}=\frac{c}{\ Sin C}\\\\\Rightarrow \frac{20}{\ Sin 41^{\circ}}=\frac{c}{\ Sin 110^{\circ}}\\\\\Rightarrow \frac{20}{0.65}=\frac{c}{0.94}\\\\\Rightarrow \frac{20 \times 0.94}{0.65}=c\\\\\Rightarrow c=\frac{18.8}{0.65}\\\\\Rightarrow c=28.92[/tex]
Length of third Side =28.92 unit
So,Perimeter of Triangle
=Sum of sides of triangle
=a +b +c
=15 + 20 +28.92
= 63.92 unit
Answer:
b on edge
Step-by-step explanation:
The science center has 300 people in attendance on Tuesday. This is 150 percent of the attendance on Monday. Natasha is trying to figure out how many people were in attendance on Monday?
Answer:
A: Natasha should have multiplied 100 by 2.
Step-by-step explanation:
i got it right in e2021
and mark me Brainliest
Please help me !!! ASAP What can be concluded from the scatter plot
A.the older a person gets the more television he/she watches.
B.there is no relationship between age and television watching.
C.the older a person gets, the less television he/she watches.
D.as a person gets older , their taste in television shows changes.
Answer:
The answer is c
A shopper seeking a bargain combined a 25% off coupon and brought enough money to cover 25% of the base price. Why did this shopper go home disappointed?
Answer:
Because he could only cover 50% of the price 25 by the coupon and 25 which he had.
The lines shown below are parallel.if the green line has a slope of -3/7 what is the slope of the red line
Answer:
-3/7
Step-by-step explanation:
If the lines are parallel, they have the same slope.
The green line has a slope of -3/7, so the red line must have a slope of -3/7
11) - V12 + 3V3
Simplify
Answer:
[tex]\large\boxed{-\sqrt{12}+3\sqrt3=\sqrt3}[/tex]
Step-by-step explanation:
[tex]-\sqrt{12}+3\sqrt3=-\sqrt{4\cdot3}+3\sqrt3\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=-\sqrt4\cdot\sqrt3+3\sqrt3=-2\sqrt3+3\sqrt3=(-2+3)\sqrt3=1\sqrt3=\sqrt3[/tex]
A segment has exactly one endpoint true false
Answer:
A segment has exactly one endpoint- false
Answer:
A segment do not have only one endpoint. A line segment is part of a line that is bounded by two points and contains every point on the line between the two endpoints.
Which of the following graphs represents the function f(x)=2^x
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=2^{x}[/tex]
This is a exponential function of the form
[tex]y=a(b)^{x}[/tex]
where
a is the initial value
b is the base
In this problem
[tex]a=1[/tex]
[tex]b=2[/tex]
[tex]b=1+r[/tex]
[tex]r=2-1=1=100\%[/tex]
using a graphing tool
The graph in the attached figure
Rosemarie drove from Philadelphia, Pennsylvania, to Pittsburgh, Pennsylvania. The distance between Philadelphia and Pittsburgh is 305 miles. Rosemarie reached Pittsburgh 5 hours after she left Philadelphia. What is the speed at which she drove her car?
Answer:
The speed was [tex]61\frac{miles}{hour}[/tex]
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
s------> the speed in miles per hour
d ----> the distance in miles
t ----> is the time in hours
we know that
[tex]s=\frac{d}{t}[/tex]
we have
[tex]d=305\ miles[/tex]
[tex]t=5\ hours[/tex]
substitute
[tex]s=\frac{305}{5}[/tex]
[tex]s=61\frac{miles}{hour}[/tex]
What is the remainder for the synthetic division problem?
Answer:
Option B is correct.
Step-by-step explanation:
Solving using synthetic division
-8 | 2 14 9
The synthetic division is shown in image attached.
The remainder is: 25
The quotient is : 2x-2
So, Option B is correct.
((Image Included))
If x = 27 inches, what is the perimeter of the figure above?
A. (108 + 54 + 54) inches
B. (54 + 108) inches
C. (364.5 + 729) inches
D. (27 + 54 + 81) inches
Answer:
=204.13 inches.
Step-by-step explanation:
Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.
Sin 30 =x/hypotenuse.
sin 30 = 27/hyp
hyp= 27/sin 30
=54 inches
We can also find the adjacent as follows.
Cos 30 = adjacent/ 54
Adjacent= 54 cos 30
=46.77 inches
Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.
sin 45= x/hypotenuse
sin 45 =27/hypotenuse
hypotenuse = 27/sin 45
=38.18 inches
The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.
Perimeter = 54+ 46.77+27+ 38.18+38.18
=204.13 inches.
The total perimeter of the given figure is 204.13 inches
Let's break down the solution step by step:
1. Triangle with 30° Angle:
- We have a right triangle with one angle measuring 30°.
- The side opposite the 30° angle (labelled as "x") is 27 inches.
- We want to find the hypotenuse (the longest side).
- Using the sine function:
[tex]\[ \sin(30°) = \frac{x}{\text{hypotenuse}} \] - Solving for the hypotenuse: \[ \text{hypotenuse} = \frac{27}{\sin(30°)} = 54 \text{ inches} \][/tex]
2. Adjacent Side of the 30° Triangle:
- We can also find the adjacent side (labelled as "adjacent") using the cosine function:
[tex]\[ \cos(30°) = \frac{\text{adjacent}}{54} \] - Solving for the adjacent: \[ \text{adjacent} = 54 \cos(30°) = 46.77 \text{ inches} \][/tex]
3. Isosceles Triangle with 45° Angles:
- We have an isosceles triangle with two angles measuring 45° each.
- The side opposite each 45° angle is also 27 inches (since it's an isosceles triangle).
- We want to find the hypotenuse of this triangle.
- Again using the sine function:
[tex]\[ \sin(45°) = \frac{x}{\text{hypotenuse}} \] - Solving for the hypotenuse: \[ \text{hypotenuse} = \frac{27}{\sin(45°)} = 38.18 \text{ inches} \][/tex]
4. Total Perimeter:
- The perimeter of the entire figure is the sum of all sides:
[tex]\[ \text{Perimeter} = 54 + 46.77 + 27 + 38.18 + 38.18 = 204.13 \text{ inches} \][/tex]
Therefore, the total perimeter of the given figure is 204.13 inches.
Identify the slope and y-intercept of the graph of the equation. y=4x+3
Answer: the slope is 4 and the y intercept is 3. Hope this helps!
Answer:
slope = 4
y-intercept = 3
Step-by-step explanation:
Note the slope-intercept form: y = mx + b
x & y is found inside the point (x , y).
m is the variable for the slope.
b is the variable for the y-intercept.
Find the corresponding number for the corresponding variable.
slope = m = 4
y-intercept = b = 3
~
Perform the following computation with radicals. Simplify the answer.
Answer:
Sqrt [ 6 ] * 2
Step-by-step explanation:
Sqrt[3]*2 Sqrt[2]
Sqrt [ 3 ] Sqrt [ 2 ] = Sqrt [ 3 * 2 ]:
Sqrt[ 3 * 2 ] 2
Answer:
Sqrt [ 6 ] * 2
ANSWER
[tex]2 \sqrt{6} [/tex]
EXPLANATION
[tex] \sqrt{3} \times 2 \sqrt{2} [/tex]
This is the same as:
[tex]2 \times \sqrt{3} \times \sqrt{2} [/tex]
Recall that:
[tex] \sqrt{a} \times \sqrt{b} = \sqrt{ab} [/tex]
We apply this property of radicals to obtain;
[tex]2 \times \sqrt{3} \times \sqrt{2} = 2 \sqrt{3 \times 2} [/tex]
We simplify to get;
[tex]2 \times \sqrt{3} \times \sqrt{2} = 2 \sqrt{6} [/tex]
Therefore the simplified form of the given expression is
[tex]2 \sqrt{6} [/tex]
If sin 150° is 1/2 find sin75°
To find sin 75°, use the half-angle identity for sine: sin(2θ) = 2sinθcosθ. Since sin 150° = 1/2, find cos 150° using the Pythagorean identity. Then, use the half-angle identity for sine to find sin 75°.
Explanation:To find sin 75°, we can use the half-angle identity for sine: sin(2θ) = 2sinθcosθ.
Given that sin 150° = 1/2, we can find cos 150° using the Pythagorean identity: sin²θ + cos²θ = 1.
sin²150° + cos²150° = 1, (1/2)² + cos²150° = 1, cos²150° = 1 - (1/4), cos²150° = 3/4.
Since 150° falls in the second quadrant, it has a negative value: cos 150° = -√(3/4) = -√3/2.
Now, we can use the half-angle identity for sine: sin 75° = 2sin(150°/2)cos(150°/2).
sin 75° = 2(sin 150°/2)(cos 150°/2) = 2(√(1/4))(√3/2) = √3/2.
Final answer:
To find sin 75°, we can use the double angle formula for sine and substitute the given value of sin 150°. The result is sin 75° = cos 75°.
Explanation:
To find sin 75°, we can use the double angle formula for sine.
The formula is sin 2θ = 2sin θcos θ. We know that sin 150° = 1/2, so we can substitute θ = 75° into the formula:
sin 2(75°) = 2sin 75°cos 75°
Using the double angle formula, we get:
2sin 75°cos 75° = 2(1/2)cos 75° = cos 75°
Therefore, sin 75° = cos 75°
(y+3)(y2 – 3y+9)
What is the product?
Answer:
y^3 + 27
Step-by-step explanation:
(y+3)(y2 – 3y+9)
distribute y
y^3 - 3y^2 + 9y
distribute 3
3y^2 - 9y + 27
add/combine like terms and order correctly
y^3 + (3y^2 - 3y^2) + (9y - 9y) + 27
answer
y^3 + 27
Which equation describes the same line as y-5=-2(x+4)
Answer:
The answer should be: A.
An equation which describes the same line as [tex]y-5=-2(x+4)[/tex] is [tex]y=-2x-3[/tex].
Given the following data:
[tex]y-5=-2(x+4)[/tex]
To find an equation which describes the same line as the one given:
In Mathematics, the standard form of an equation of line is given by the following formula;
[tex]y = mx+b[/tex]
Where:
x and y are the points.m is the slope.b is the intercept.Simplifying the given equation, we have:
[tex]y-5=-2(x+4)\\\\y-5 =-2x -8\\\\y = -2x-8+5\\\\y=-2x-3[/tex]
Read more: https://brainly.com/question/18123312
what equation shows x^2+6x-6=0 rewritten by completing the sqaure
Answer:
(x + 3)² = 15
Step-by-step explanation:
Given
x² + 6x - 6 = 0 ( add 6 to both sides )
x² + 6x = 6
To complete the square
add (half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 6 + 9
(x + 3)² = 15
Follow below steps:
The question asks about rewriting the quadratic equation x^2+6x-6=0 by completing the square. To complete the square for an equation of the form ax^2+bx+c=0, we need to add and subtract the square of half the coefficient of x, which is (b/2)^2, to make it a perfect square trinomial.
Here are the steps for completing the square for the given equation:
Divide all terms by the coefficient of x^2 if it is not 1 (in this case, it is already 1).
Move the constant term to the other side of the equation: x^2 + 6x = 6.
Find (b/2)^2, where b is the coefficient of x, which is 6 in this case. So, (6/2)^2 = 9.
Add and subtract this value inside the equation: x^2 + 6x + 9 - 9 = 6.
Write the left-hand side as a perfect square and simplify the right-hand side: (x+3)^2 - 9 = 6.Finish by repositioning: (x+3)^2 = 15.
The equation x^2+6x-6=0 rewritten by completing the square is (x+3)^2 = 15.
Figure ABCDE was reflected across the line y=x to create figure A’B’C’D’E’.What are the coordinates of the pre-image of E’?
Answer:
(-2, 6) on edge
Step-by-step explanation:
which transformation can verify congruence by flipping a triangle over the y-axis
Answer:
Reflection
Step-by-step explanation:
reflect it over the y axis it will be congruent
Answer:
reflection
Step-by-step explanation:
if the triangle is reflected it will keep its exact shape and only be flipped over.
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Find the distance between -4 and 10 on a
number line.
Answer:
14 numbers.
Step-by-step explanation:
Since -4 is in the negatives, we would go up on the number line until we reached positive 10. Which would therefore equal, 14.
Answer:
14 units
Step-by-step explanation:
We have to take the absolute value of the measure in both directions, that is
| 10 - (- 4) | = | 10 + 4 | = | 14 | = 14
| - 4 - 10 | = | - 14 | = 14
Which equation is the inverse of 2(x-2)squared=8(7+y)
Answer:
[tex]f^{-1}(x)=2(+/-)2\sqrt{(7+x)}[/tex]
Step-by-step explanation:
we have
[tex]2(x-2)^{2}=8(7+y)[/tex]
step 1
Exchange x for y and y for x
[tex]2(y-2)^{2}=8(7+x)[/tex]
step 2
isolate the variable y
[tex](y-2)^{2}=4(7+x)[/tex]
take the square root both sides
[tex]y-2=(+/-)\sqrt{4(7+x)}[/tex]
[tex]y=2(+/-)\sqrt{4(7+x)}[/tex]
step 3
Let
[tex]f^{-1}(x)=y[/tex]
[tex]f^{-1}(x)=2(+/-)\sqrt{4(7+x)}[/tex]
[tex]f^{-1}(x)=2(+/-)2\sqrt{(7+x)}[/tex] ----> equation of the inverse
Answer:
y=2+√28+4x
Step-by-step explanation:
8.5 in.
5 in.
Find the volume of the oblique cylinder. Round your answer to the nearest hundredth.
A. 656.59in^3
B.659.59in^3
C.667.59in^3
D.676.59in^3
Answer:
C
Step-by-step explanation:
The volume (V) of the cylinder is calculated as
V = πr²h
where r is the radius of the base and h the perpendicular height
here r = 5 and h = 8.5
V = π × 5² × 8.5
= 25π × 8.5 ≈ 667.59 in³ ( to the nearest hundredth )
C. 667.59in^3
How do you figure out the volume of a cylinder?The procedure to use the volume of the cylinder calculator is follows:
Enter the radius (r) or height in the respective input fieldNow click the button “Solve” to get the volumeFinally, the volume of a cylinder for the given radius or height will be displayed in the output fieldThe volume (V) of the cylinder is calculated as
V = πr²h
where r is the radius of the base and h the perpendicular height
here r = 5 and h = 8.5
V = π × 5² × 8.5
= 25π × 8.5 ≈ 667.59 in³ ( to the nearest hundredth )
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Help Hurry
Without using your calculator, list the cubes of the numbers from 1‒6, and 10. Then write the cube roots of each cube. Memorize these as you have memorized other basic facts.
Answer:
1 cubed 1
2 cubed 8
3 cubed 27
4 cubed 64
5 cubed 125
6 cubed 216
10 cubed 1,000
Cube Root of 1 is 1
Cube Root of 8 is 2
Cube Root of 27 is 3
Cube Root of 64 is 4
Cube Root of 125 is 5
Cube Root of 216 is 6
Cube Root of 1,000 is 10
Step-by-step explanation:
To find the cube of a number multiply that number by itself three times and to find the cube root of a number find one perfect cube less than the original number and then find one greater than the original number and then round if you need to.
To find the cubes of numbers without a calculator, multiply each number by itself twice. To find the cube root, determine which number, when multiplied by itself twice, equals the given cube.
Explanation:In order to list the cubes of the numbers from 1-6 and 10 without a calculator, we need to multiply each number by itself twice. Here are the cubes:
1: 1 x 1 x 1 = 12: 2 x 2 x 2 = 83: 3 x 3 x 3 = 274: 4 x 4 x 4 = 645: 5 x 5 x 5 = 1256: 6 x 6 x 6 = 21610: 10 x 10 x 10 = 1000To find the cube root of each cube, we need to determine which number, when multiplied by itself twice, equals the given cube. Here are the cube roots:
1: Cube root of 1 = 18: Cube root of 8 = 227: Cube root of 27 = 364: Cube root of 64 = 4125: Cube root of 125 = 5216: Cube root of 216 = 61000: Cube root of 1000 = 10Learn more about Cubes and Cube Roots here:https://brainly.com/question/35707400
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GEOMETRY Please help me
Answer:
First option.
Step-by-step explanation:
In this case you need to remember that an angle formed by two intersecting chords is equal to the sum of the intercepted arcs divided by 2. This is:
[tex]Angle\ formed\ by\ two\ intersecting\ chords=\frac{1}{2}(Sum\ of\ intercepted\ arcs)[/tex]
You can identify in the figure that the angle ∠1 is an angle formed by two intersecting chords. Therefore, since the intercepted arcs are SP and QR, you can say the following:
[tex]m\angle 1=\frac{1}2}(mSP+mQR)[/tex]
You can observe that this matches with the first option.
An essay contains 549 words. To the nearest hundred, how many words are in the essay?
Answer: 500 as 49 is closer to 500 by 1, if it was 550 then it would have been 600. It's basically just estimation or rounding it off to the nearest hundred
Last month, when Joe took his puppy to the veterinarian, the puppy weighed 5.4 pounds. This month, the puppy weighed 7.56 pounds. What is the percentage increase of the weight of the puppy?
Answer:
40%
Step-by-step explanation:
We are given that last month, Joe's puppy weight 5.4 pounds while this month, the puppy weighed 7.56 pounds.
We are to find the percentage increase of the weight of the puppy
We know that the formula of percentage increase if given by:
Percentage increase = (new value - initial value)/initial value × 100
So substituting the given values to get:
Percentage increase in puppy's weight = [tex]\frac{7.56-5.4}{5.4} \times 100[/tex] = 40%
How many more times intense is an earthquake that measures 8 on the Richter scale than an earthquake that measures 5? Explain your answer.
Answer:
1000 times
Step-by-step explanation:
The Richter scale is a logarithmic scale, so we can say an earthquake of magnitude 8 on the Richter scale shows an intensity of 10^8.
In the same way, an earthquake of magnitude 5 on Richter scale will have an intensity of 10^5.
To evaluate the difference, we divide one by the other.
10^8 / 10^5 = 10^3 = 1,000
An earthquake of intensity of 8 is 1,000 times more powerful than one of intensity 5.
Answer:
on edge
A magnitude 8 earthquake is 1,000 times more intense than a magnitude 5 earthquake. A magnitude 8 earthquake is 108 times more intense than a standard earthquake, while a magnitude 5 earthquake is 105 times more intense than a standard earthquake, and 108 ÷ 105 = 103. Each unit increase on the Richter scale corresponds to an intensity increase by a factor of 10. So from 5 to 8 on the Richter scale, the intensity increases by 103 = 1,000.