Answer:
.25
Step-by-step explanation:
8/32 = 1/4
1/4 = .25
Answer:
0.25
Step-by-step explanation:
the ordinate of every point in the x-axis is zero true or false.
Answer:
As you remember from pre-algebra a coordinate plane is a two-dimensional number line where the vertical line is called the y-axis and the horizontal is called the x-axis. These lines are perpendicular and intersect at their zero points. This point is called the origin.
Step-by-step explanation:
Answer:
mhmmmmm
i need help on this too
Algebraic expression for three times the sum of a and b
Algebraic expression for three times the sum of a and b, then the expression would be; 3(a+b).
What is simplification of an expression?Simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.
Algebraic expression for three times the sum of a and b, then the expression;
Now put a + b in brackets because your multiplying a and b three times;
= 3(a+b)
Algebraic expression for three times the sum of a and b, then the expression would be; 3(a+b).
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Match each ratio with it’s simplest form.
Step-by-step explanation:
We need to write the following ratios with its simplest form.
1. [tex]\dfrac{21}{28}[/tex]
Factors of 21 = 3, 7
Factors of 28 = 2, 7, 2
[tex]\dfrac{21}{28}=\dfrac{3}{4}[/tex]
2. [tex]\dfrac{96}{32}[/tex]
Factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors of 32 = 1, 2, 4, 8, 16, 32
[tex]\dfrac{96}{32}=\dfrac{3}{1}[/tex]
3. [tex]\dfrac{22}{33}[/tex]
Factors of 22 = 1, 2, 11, 22
Factors of 33 = 1, 3, 11, 33
[tex]\dfrac{22}{33}=\dfrac{2}{3}[/tex]
4. [tex]\dfrac{12}{36}[/tex]
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
[tex]\dfrac{12}{36}=\dfrac{1}{3}[/tex]
5. [tex]\dfrac{72}{56}[/tex]
Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56
[tex]\dfrac{72}{56}=\dfrac{9}{7}[/tex]
6. [tex]\dfrac{54}{63}[/tex]
Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54
Factors of 63 = 1, 3, 7, 9, 21, 63
[tex]\dfrac{54}{63}=\dfrac{6}{7}[/tex]
Hence, this is the required solution.
Which functions are equivalent to f (x) = RootIndex 4 StartRoot 162 EndRoot Superscript x? Check all that apply.
Answer:
[tex]f(x)=162^\frac{x}{4}[/tex]
[tex]f(x)=[3\sqrt[4]{2}]^{x}[/tex]
[tex]f(x)=[3(2^{\frac{1}{4}})]^{x}[/tex]
Step-by-step explanation:
we have
[tex]f(x)=\sqrt[4]{162^{x}}[/tex]
Remember that
[tex]\sqrt[n]{a^{m}}=a^{m/n}[/tex]
[tex](a^{m})^{n}=a^{m*n}[/tex]
so
1) [tex]\sqrt[4]{162^{x}}=162^\frac{x}{4}[/tex]
2) The number 162 decompose in prime factors is
[tex]162=(2)(3^4)[/tex]
substitute
[tex]f(x)=\sqrt[4]{[(2)(3^4)]^{x}}={[(2)(3^4)]^{x/4}={{[(2)(3^4)]^{(1/4)}}^x=[3\sqrt[4]{2}]^{x}[/tex]
3) [tex]f(x)=[3\sqrt[4]{2}]^{x}=[3(2^{\frac{1}{4}})]^{x}[/tex]
therefore
[tex]f(x)=162^\frac{x}{4}[/tex]
[tex]f(x)=[3\sqrt[4]{2}]^{x}[/tex]
[tex]f(x)=[3(2^{\frac{1}{4}})]^{x}[/tex]
Answer:
A.B. E.
Step-by-step explanation:
Help me pls!! Only if you know it 30 points
Answer:
true
Step-by-step explanation:
Because as it go's down the other go's up
Find the nth term of this number sequence
18, 16, 14, 12,...
Someone pls help me and tell me the answer
The nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.
First term = 18
Second term = 16
Common difference = 16 - 18 = -2
It should be noted that the formula for finding the next term of an arithmetic sequence will be:
= a + (n - 1)d
= 18 + (n - 1) × -2
= 18 - 2n + 2
= -2n + 20
Therefore, the nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.
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During the past 13 days, Troy drove 546 miles. He drove the same number of miles each day. How many miles did Troy drive each day?
Answer:
42
Step-by-step explanation:
if you divide 546 with 13 it will give you 42 mostly because 546 is the total of miles that he drove so if you dive by how many days he has been driving you will get your answer.
Troy drove 546 miles over 13 days, resulting in an average of 42 miles driven each day after dividing the total miles by the number of days.
To find out how many miles Troy drove each day, we need to divide the total number of miles driven by the number of days. Troy drove a total of 546 miles over the course of 13 days.
Divide the total miles (546) by the number of days (13).
The calculation is:
546 miles / 13 days = 42 miles per day.
Therefore, Troy drove 42 miles each day.
Escribe el número 317 en forma expandida?
Answer:300+10+7=317
Step-by-step explanation:
Tienes que expandir el número en las partes de 100 las de 10 y láser de 1 como las de 100 es 300 la de 10 es 10 y la de 1 es 7
What is 47 rounded to he nearest 10
Answer:
EXAMPLE I Round 47 to the nearest ten. Here is a part of a number line; 47 is between 40 and 50. Since 47 is closer to 50, we round up to 50. 42 is between 40 and 50.;it5
Find the GCF of 24m and 18m
Answer: 6m
Step-by-step explanation:
GCF is Greatest Common Factor.
In other words, what is the biggest factor they have in common?
You can factor both terms down to their primes and compare them:
24m 18m
∧ ∧
4 6 m 2 9 m
∧ ∧ ↓ ↓ ∧ ↓
2 2 2 3 m 2 3 3 m
24m: 2 · 2 · 2 · 3 · m
18m: 2 · 3 · 3 · m
What do they have in common?
24m: 2 · 2 · 2 · 3 · m Common is 6m, leftover is 4
18m: 2 · 3 · 3 · m Common is 6m, leftover is 3
I showed the leftover because you need that to find the LCM
The perimeter of an isosceles triangle less than 20 inches. If the base is 5 inches, what is the maximum length of each of the legs?
Answer:
7.5 inches
Step-by-step explanation:
take the 5 away from the 20, you have 15 inches left. Isosceles triangles have two equal sides; 15 divided into two equally is 7.5
Trapezoid ABCD was dilated to create trapezoid A'B'C'D'. On a coordinate plane, 2 trapezoids are shown. Trapezoid A B C D has points (negative 4, 0), (negative 2, 4), (2, 4) and (4, 0). Trapezoid A prime B prime C prime D prime has points (negative 2, 0), (negative 1, 2), (1, 2), and (2, 0). Which statements are true about the trapezoids? Select three options. The length of side AD is 8 units. The length of side A'D' is 4 units. The image is larger than the pre-image. Sides CD and C'D' both have the same slope, 2. The scale factor is 1/2.
For trapezoids ABCD and A'B'C'D' on a coordinate plane, side AD's length is 8 units, A'D's length is 4 units and also the scale factor is 1/2.
The question asks for facts about the dilation of trapezoid ABCD to create trapezoid A'B'C'D' on a coordinate plane. First, we are to compare the length of side AD with side A'D'. The coordinates of AD are (-4, 0) and (4, 0), so the length is 4 - (-4) = 8 units. For A'D', using coordinates (-2, 0) and (2, 0), the length is 2 - (-2) = 4 units. This confirms that:
The length of side AD is 8 units.
The length of side A'D' is 4 units.
Next, to determine whether the image is larger than the pre-image, we examine the scale factor. As the original trapezoid has been halved in size, the scale factor is indeed 1/2. Therefore, the image is not larger; it is smaller. Hence, this option is not true.
Examining the slopes of sides CD and C'D', we can use the coordinates (2, 4) to (4, 0) and (1, 2) to (2, 0) respectively to calculate the slope. The slope of CD is (0-4)/(4-2) = -4/2 = -2, and for C'D' it is (0-2)/(2-1) = -2/1 = -2. Both slopes are indeed the same, and thus, we confirm:
Sides CD and C'D' both have the same slope, -2 not 2 as stated in the options.
The final option about the scale factor being 1/2 is true and confirms:
The scale factor is 1/2.
The true statements are:
- The length of side AD is 8 units.
- The length of side A'D' is 4 units.
- The scale factor is 1/2.
To determine which statements are true about the trapezoids, let's analyze the given information:
1. The length of side AD is 8 units.
- To find the length of side AD, we can use the distance formula between points A and D.
- Distance formula: [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
- [tex]\(AD = \sqrt{(4 - (-4))^2 + (0 - 0)^2} = \sqrt{8^2} = 8\)[/tex]
- This statement is true.
2. The length of side A'D' is 4 units.
- To find the length of side A'D', we can use the distance formula between points A' and D'.
- Distance formula: [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
-[tex]\(A'D' = \sqrt{(2 - (-2))^2 + (0 - 0)^2} = \sqrt{4^2} = 4\)[/tex]
- This statement is true.
3. The image is larger than the pre-image.
- We can compare the lengths of corresponding sides.
- The length of side AD is 8 units, while the length of side A'D' is 4 units.
- Since the lengths of corresponding sides are not proportional, the image is not larger than the pre-image.
- This statement is false.
4. Sides CD and C'D' both have the same slope, 2.
- The slopes of sides CD and C'D' can be calculated using the coordinates of the points.
- Slope formula:[tex]\(m = \frac{y_2 - y_1}{x_2 - x_1}\)[/tex]
- For side CD: [tex]\(m_{CD} = \frac{4 - 4}{2 - (-2)} = \frac{0}{4} = 0\)[/tex]
- For side C'D':[tex]\(m_{C'D'} = \frac{2 - 0}{1 - (-1)} = \frac{2}{2} = 1\)[/tex]
- Since the slopes are not the same, this statement is false.
5. The scale factor is 1/2.
- To find the scale factor, we can compare the corresponding side lengths of the pre-image and the image.
- The length of side AD is 8 units, and the length of side A'D' is 4 units.
- The scale factor is the ratio of corresponding side lengths: [tex]\(\frac{4}{8} = \frac{1}{2}\)[/tex]
- This statement is true.
12. The traffic warning sign below has a triangle shape with base of 18 inches,
The value of the area of the triangle (half base times altitude), in square inches, is
an irrational number. The number that represents the altitude of the triangle must
. Select the best answer to fill in the blank.
be
A A whole number
B A rational number
C An irrational number
D A non-real complex number
Explain your answer.
Answer:
C.
Step-by-step explanation:
The area of the triangle is
[tex]\text{Area}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}[/tex]
You know that
Area - irrational number
[tex]\dfrac{1}{2}[/tex] - rational number (rational numbers are those that can be written as a fraction)
Base = 18 inches - rational number (actually, 18 is a natural number and each natural number is rational)
Height - unknown
You can rewrite previous formula as
[tex]\text{Area}=\dfrac{1}{2}\cdot 18\cdot \text{Height}\\ \\\text{Area}=9\cdot \text{Height}[/tex]
Now consider all options:
A. If height is a whole number then area is a whole number as a product of two whole numbers. False
B. If height is a rational number, then area is rational number as a product of two rational numbers. False
C. If height is a irrational number, then area is irrational number as a product of rational and irrational numbers. True
D. If height is a non-real complex number, then area is non-real complex number as a product of rational and non-real complex numbers. False
Option C. An irrational number.
The area of a triangle is given by the formula A = 1/2 × base × height. In this problem, the base of the triangle is 18 inches. Since the problem states that the area is an irrational number, we need to determine what the height (or altitude) of the triangle must be.
To have an irrational area, either the base or the height (or both) must be irrational. Given that the base is a whole number (18 inches), the height must be an irrational number to produce an irrational value for the area. We can set up the formula as follows:
A = 1/2 × 18 × h, where h is the height.
For A to be irrational, h must be an irrational number.
Therefore, the best answer to fill in the blank is:
C An irrational numberif its 11:45 in 2 1/2 hours what will it be
Answer:
Step-by-step explanation:
11:45 + 1 hour = 12:45
12:45 + 1 hour = 1:45
1:45 + 30 minutes = 2:15
two grains of salt have a mass of approximatley one microgram or 0.000001g which expression represents this number in scientific notation
Final answer:
The expression that represents the mass of two grains of salt, approximately one microgram or 0.000001g, in scientific notation is 1 x 10-6g.
Explanation:
The expression that represents the mass of two grains of salt, approximately one microgram or 0.000001g, in scientific notation is 1 x 10-6g.
Scientific notation is a way to express numbers that are extremely large or small in a more manageable format. In scientific notation, a number is written as a coefficient multiplied by a power of 10. The coefficient must be greater than or equal to 1 and less than 10, and the power of 10 represents how many places the decimal point needs to be moved to get the original number.
how to find surface area
Answer:
Find the area of two sides (Length*Height)*2 sides.
Find the area of adjacent sides (Width*Height)*2 sides.
Find the area of ends (Length*Width)*2 ends.
Add the three areas together to find the surface area.
Example: The surface area of a rectangular prism 5 cm long, 3 cm.
Answer:
The way to do this is multiplying all the 3 dimensional sides Then adding them.
Step-by-step explanation:
What i mean by this is by, Multiplying the Length and height together .
Next is Multiplying the Width and Height together
Next would to multiply the Length And Width together.
Lastly would to add all your solutions together.
If you have any questions feel free to ask in the comments.
Two parallel lines are crossed by a transversal.what is the value of y?
Since it is in a 180 degrees... Flat line then we will 50 minus 180= 130.
this is your answer. D.) y=130
Which equation could be used to create the data show in the table?
Answer:
Step-by-step explanation:
y = 4x + 1
We can see that for each value of x substituted into this equation will give us a value for y .
For example , if we take x to be 4 , and put the value in this equation we get 4(4) + 1 = y
We get y = 17
Stefanie spends entire allowance one month she spends 1/2 of a on new clothes 1/4 on food 1/6 on movies and 1/12 on Music how much more does she spend on clothes that he does on movies
A: 1/4
B: 1/2
C: 1/6
D: 1/3
Answer:
Option D: 1/3
Step-by-step explanation:
Let
x ------> the entire Stefanie's allowance
we know that
She spends on clothes (1/2)x
She spends on movies (1/6)x
To find out how much more does she spend on clothes that he does on movies, subtract the amount she spends on movies from the amount she spend on clothes
[tex]\frac{1}{2}x-\frac{1}{6}x=\frac{2}{6}x[/tex]
Simplify
[tex]\frac{1}{3}x[/tex]
therefore
She spends 1/3 more on clothes that he does on movies
what do I do here cause I'm confused :/
Answer:you do 15 divided by 8
Step-by-step explanation:
PLEASE HELP!!!!
-0.5 1/2 0.7 -4/4 from least to greatest
Step-by-step explanation:
Converting all the numbers to decimals,
1) -0.5
2) 1/2 = 0.5
3) 0.7
4) -4/4 = -1
We see that order of numbers from least to greatest is -1 < -0.5 < 0.5 < 0.7
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Juanita begins to factor an expression as shown. x2+3x−18=(x+)(x−) What numbers should be placed in the boxes from left to right? 3 and 6 2 and 9 6 and 3 9 and 2
Answer:
Option A is the correct answer.
Step-by-step explanation:
Here we need to factorize x²+3x−18
The coefficient of x is 3 and the constant is -18
Which means
The sum of factors is 3
The product of factors is -18
The factors satisfying are 6 and -3
Here the factors are given in the type (x+)(x−)
So the value after plus is 6 and value after - is 3
Option A is the correct answer.
Answer:
6 and 3
Step-by-step explanation:
The shape of a piece of cardboard is shown below. The right angles at two corners and the lengths of two sides are marked.
Jeremiah will make exactly one straight cut from the top edge of the cardboard to point S in order to cut the cardboard into a rectangle.
How far from P should Jeremiah start his cut?
A. 3 inches
B. 4 inches
C. 5 inches
D. 6 inches
Answer:
5 inches
Step-by-step explanation:
a^2 + b^2 = c^2
12^2 + b^2 = 13^2
144 + b^2 = 169
b^2 = 25
b = 5
Jeremiah should start his cut 5 inches from P.
How far from P should Jeremiah start his cut?
In the figure PQRS,
QR= 12 in. & PS = 13 in.
∠Q=∠R=90°
Now, Jeremiah will make exactly one straight cut from the top edge of the cardboard to point S in order to cut the cardboard into a rectangle.
Let, Jeremiah cut PQ at point M, where SM⊥PQ
∴ ∠SMP = 90°, so ΔSMP is a right angle triangle.
After draw SM, SMQR will a rectangle.
Then, SM = QR = 12 in.
By pythagoras theorem,
PS²= SM²+PM²
⇒ PM²= PS²-SM²
⇒ PM²= 13²-12²
⇒ PM²= 169-144
⇒ PM = √ (25)
⇒ PM = 5 (Negative value is not possible)
So, PM = 5 inches
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John drives 10 1/2 miles every 1/20 hour. How many miles can he drive in 5 hours?
I am trying to help my daughter with this problem. can you show me step b y step please. thank you :)
Answer: 1050 miles in 5 hours
Step-By-Step explanation: there are 20 1/20 per hour
10 1/2 x 20 = 210 miles per hour
210 * 5 =1050 miles in 5 hours
[tex]\text{Hello there!}\\\\\text{We're trying to find how many miles he can drive in 5 hours}\\\\\text{We know that he drives 10.5 miles in 1/20 of an hour}\\\\\text{We need to find how much he drives in an hour, so you have to}\\\text{multiply 10.5 by 20}\\\\10.5\cdot20=210\\\\\text{In 1 hour, he drives 210 miles}\\\\\text{Now, multiply 210 by 5 to see how much he drives in 5 hours}\\ \\210\cdot5=1050\\\\\large\boxed{\text{John drives 1,050 mile in 5 hours}}[/tex]
Which term describes the set of all possible output values for a function?
Answer:
Step-by-step explanation:
This would be called the range.
Answer: Range describes the set of all possible output values for a function.
Step-by-step explanation:
A range is the set of all possible values for dependent variable in a function which are dependent on the values of independent variable.Since we denote values for dependent variable as output values.
Thus , we call Range is the set of all possible output values for a function.
Therefore, the term describes the set of all possible output values for a function : Range
Lani's mother gave her and her two sisters $21 to spend at the movies. If each girl gets the same amount, how much do they each have to spend?
each sister gets 21 dollars, so there are three sisters there fore 21*3 equals 63
Answer:
$7.
Step-by-step explanation:
We have been given that Lani's mother gave her and her two sisters $21 to spend at the movies.
We are asked to find the amount each girl have to spend.
To solve our given problem, we will divide $21 with 3 as Lani and her two sisters would be 3 persons.
[tex]\text{Amount that each girl have to spend}=\frac{\$21}{1+2}[/tex]
[tex]\text{Amount that each girl have to spend}=\frac{\$21}{3}[/tex]
[tex]\text{Amount that each girl have to spend}=\$7[/tex]
Therefore, each girl gets $7 to spend.
Write the equation of the line that passes through (-7,-4) and (-6,-2) in slope-intercept form.
A.) y=2x-4
B.) y=-2x-14
C.) y=2x+10
D.) y=1/2x+1
Option C) [tex]y=2x+10[/tex] is correct
Equation of a line passing through points [tex]\boldsymbol{\left ( x_1,y_1 \right ),\left ( x_2,y_2 \right )}[/tex] is given by [tex]\boldsymbol{y-y_1=\left ( \frac{y_2-y_1}{x_2-x_1} \right )\left ( x-x_1 \right )}[/tex]
Given points are as follows:
[tex]\left ( x_1,y_1 \right )=\left ( -7,-4 \right )\\\left ( x_2,y_2 \right )=\left ( -6,-2 \right )[/tex]
Equation of a line is [tex]y+4=\left ( \frac{-2+4}{-6+7} \right )\left (x+7\right )[/tex]
[tex]y+4=2\left ( x+7 \right )[/tex]
[tex]y+4=2x+14[/tex]
[tex]\boldsymbol{y=2x+10}[/tex]
So, option C) is correct.
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Final answer:
To find the equation of a line in slope-intercept form, we need to determine the slope and the y-intercept of the line. Using the formula for slope, we find that the slope is 2. Then, using one of the points and the slope, we find the y-intercept to be 10. Therefore, the equation of the line is y = 2x + 10.
Explanation:
To find the equation of a line in slope-intercept form, we need to determine the slope and the y-intercept of the line. The slope can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (-7, -4) and (-6, -2), the slope is:
slope = (-2 - (-4)) / (-6 - (-7))
slope = 2 / 1
slope = 2
Now that we have the slope, we can use one of the points and the slope to find the y-intercept. Let's use the point (-7, -4) and the slope of 2:
y = mx + b
-4 = 2(-7) + b
-4 = -14 + b
b = -4 + 14
b = 10
Therefore, the equation of the line in slope-intercept form is y = 2x + 10.
Reduce the following fractions to lowest terms:
6/9
In order to get the answer to this question you must find the number that the numerator and the denominator is dividable by (common factor) then divide.
[tex]\frac{6}{9}[/tex]
[tex]CF=3[/tex]
[tex]6\div3=2[/tex]
[tex]9\div3=3[/tex]
[tex]= \frac{2}{3}[/tex]
Therefore your answer is "2/3."
Hope this helps.
Solve for f
2f = -12
f=?
Answer:
f = -6
Step-by-step explanation:
2 it's multiplying the f, so in order to get only f, you need to divide both sides by 2
2f / 2 = -12 / 2
f = -6
A. X^4-2x^2+5x+6
B. X^3-2x^2-5x+6
C. X^3-2x^2+5x+6
D. -X^4-2x^2+5x+6
Answer:
B
Step-by-step explanation:
x^3-2x^2-5x+6
Answer:
its b
Step-by-step explanation: