Answer:
20 yd^2.
Step-by-step explanation:
Area of base = 2^2 = 4 yd^2.
It has 4 side faces so:
Area of each triangular side = 1/2 * 2 * 4 = 4 yd^2
Total surface area = 4 + 4(4).
= 20 yd^2.
find 3 different ratios that are equivalent 7:3 explain why these ratios are equivalent
Answer:
7:3, 14:6, 28:12
multiples.. hope that helps.
Raj correctly determined that ray LH is the bisector of AngleGLI.
A line contains points K, L, M. 4 lines extend from point L. One line extends to point F, another to G, another to H, and another to I.
Which information could he have used to determine this?
AngleGLH Is-congruent-to AngleILM
mAngleKLM = 5mAngleILM
mAngleGLI = 2mAngleGLH
mAngleGLI = mAngleGLH + mAngleHLI
\
Answer:
C.) mAngleGLI = 2mAngleGLH
Step-by-step explanation:
Whats the domain and range?
PLEASE HELP URGENT!!!!
Write the equation for a cubic function that has been reflected over the x-axis and shifted left 3 units.
Write the equation for a square root function that has been stretched by a factor of 2 and shifted 1 unit up.
Answer:
give me a sec........I need to analyze somethings
The equation for the first and second model will be y = - (x + 3)³ and y = 2(√x) + 1, respectively.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The equation for a cubic function that has been reflected over the x-axis and shifted left 3 units. Then add 3 in the function and multiply the function by negative 1.
y = - (x + 3)³
The equation for a square root function has been stretched by a factor of 2 and shifted 1 unit up. Then multiply the function by 2 and add 1 to the function.
y = 2(√x) + 1
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
can someone help me asap
Answer:
I think it's 31
Step-by-step explanation:
Answer:
x = 31°
Step-by-step explanation:
The two triangles seem to be identical.
All angles of a triangle must add up to 180° to make a triangle.
So, 53° + 96° = 149°
Subtract 149° from 180°
180° - 149° = 31°
So x = 31°
Hope I helped :)
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In a lab, a substance was heated by 2c each hour for 6 hours. What was the total change in temperature?
Answer:
12 c
Step-by-step explanation:
You can add up the hourly changes, or you can use multiplication to do the repeated addition. The increase in temperature over 6 hours is ...
2c +2c +2c +2c +2c +2c
= 6 × 2c
= 12c
The total change in temperature was an increase of 12c over the 6-hour time period.
what is the median score on the exam ?
a) 70
b) 75
c) 77.5
d) 85
Answer:
b) 75
Step-by-step explanation:
The median (middle quartile) marks the mid-point of the data and is shown by the line that divides the box into two parts.
Therefore, from inspection of the box plot diagram, the median is 75
Additional information
Lower quartile (Q1) = 70
Median (Q2) = 75
Upper quartile (Q3) = 85
IQR = Q3 - Q1 = 85 - 70 = 15
Minimum value = 55
Maximum value = 100
Range = Max - Min = 100 - 55 = 45
I have no idea plz help
Answer:
a
Step-by-step explanation:
A city has a population of 2,549,786 people. Estimate this population to the nearest million. Express your answer as the product of a single digit and a power of 10. Rounded to the nearest million, the population is about? Written as the product of a single digit and a power of ten, this number is blank X 10 to the power of what?
Solution,
The population of a city is 2,549,786.
We can convert it into nearest million as follows :
Million = 10 lakhs
Rounding off to the nearest million
2,549,786 = 3,000,000
There are 6 zeroes after 3. We can express as the product of a single digit and a power of 10 as follows :
[tex]3,000,000=3\times 10^6[/tex]
Hence, the population of the city is 2,549,786 or [tex]3\times 10^6[/tex].
A triangle has two sides of length 6 and 12. What is the smallest possible whole-number length for the third side?
`. Select all the pairs of equivalent expressions.
a. (43)3 and 43 ⋅ 43
b. (34)4 and 38 ⋅ 38
c. 64 ⋅ 34 and 188
d. 43 ⋅ 53 and 203
e. (43)3 and 43 ⋅ 43 ⋅ 43
2. Choose an equivalent expression for 123 • 129 • 124 • 122.
a. 12^4
b. 12^18
c. 12^35
d. 12^216
3. Choose an equivalent expression for 106 ÷ 104.
a. 10^2
b. 10^3
c. 10^10
d. 10^24
4. Select all the expressions that are equivalent to 78 • 7.
a. 73 • 73
b. 7^18/7^9
c. (73)3
d. 74 + 75
e. 74 • 75
5. Is this equation correct?
63 ⋅ 73 = 423
A. Yes; 63 • 73 is equal to (6 • 7)3 or 423.
B. Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
C. No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
D. No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.
This question was not properly written
Complete Question
Select all the pairs of equivalent expressions.
a. (4³)³ and 4³ ⋅ 4³
b. (3⁴)⁴ and 3⁸ ⋅ 3⁸
c. 6⁴ ⋅ 3⁴ and 18⁸
d. 4³ ⋅ 5³and 20³
e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³
2. Choose an equivalent expression for 12³ • 12⁹• 12⁴ • 12².
a. 12^4
b. 12^18
c. 12^35
d. 12^216
3. Choose an equivalent expression for 10⁶ ÷ 10⁴.
a. 10^2
b. 10^3
c. 10^10
d. 10^24
4. Select all the expressions that are equivalent to 7⁸ • 7.
a. 7³• 7³
b. 7^18/7^9
c. (7³)³
d. 7⁴ + 7⁵
e. 7⁴ • 7⁵
5. Is this equation correct?
6³⋅ 7³= 42³
A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.
B. Yes; 6³ • 7³is equal to (6 • 7 • 3) or (42 • 3).
C. No; 6³ • 7³ is equal to (6 • 7 • 3) or (42 • 3).
D. No; 6³ • 7³ is equal to (6 • 7)³+ 3 or 42⁶.
Answer:
1 The correct answer is
d. 4³ ⋅ 5³ and 20³
e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³
2b. 12^18
3 a = 10²
4a. 7³ • 7³
c. (7³)³
e. 7⁴ • 7⁵
5 A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.
Step-by-step explanation:
1) Select all the pairs of equivalent expressions.
These are the correct options
d. 4³ ⋅ 5³and 20³
4³ × 5³ = 8000
20³ = 8000
e. (43)3 and 43 ⋅ 43 ⋅ 43
2. Choose an equivalent expression for 12³ • 12⁹• 12⁴• 12².
For an Algebraic Expressions,
We have the rule
x^a × x^b = x ^a+ b
Hence: 12³ • 12⁹• 12⁴ • 12².
= 12^3+9+4+2 = 12^18
Hence, b. 12^18
3. Choose an equivalent expression for
10⁶ ÷ 10⁴.
For an Algebraic expressions
x^a ÷ x^b = x ^a - b
Therefore
10⁶÷ 10⁴ = 10²
a. 10^2 Is the correct option
4. Select all the expressions that are equivalent to 7⁸ • 7.
7⁸ . 7= 7^8+1
= 7^9 or 7⁹
The equivalent expressions are:
a. 7³ • 7³ = 7⁹
b. 7^18/7^9 = 7⁹
c. (7³)³ = 7⁹
e. 7⁴ • 7⁵ = 7⁹
5. Is this equation correct?
6³ ⋅ 7³ = 42³
A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³
Is this correct? Ive done this a million times and they always come out the same, but I still get it wrong.
Answer:
No, the correct answer is 32cm.
Step-by-step explanation:
First of all, lets cut the shape into two. A rectangle and a triangle. This will help us find the slanted side of the shape.
We will use the pythagorean theorem to find the length of the slanted line.
The pythagorean theorem is [tex]a^{2} +b^{2} =c^{2}[/tex].
Input the given information of the triangle lengths that we know; that is the length= 6 and the base=3.
[tex]c= \sqrt{a^{2}+b^{2} } =\sqrt{6^{2}+\ 3^{2} } = 6.7082[/tex]
Now, we round.
6.7082≈ 6.7
We have found the length of the slanted line of the shape.
Now, let's add all the lengths together.
8+6+6.7+11= 31.7
Now, lets round.
31.7 ≈ 32cm
Hope this helps!
Which of the following shows the true solution to the logarithmic equation below? log (x) log (x 5) = log (6 x 12) x = negative 3 x = 4 x = negative 3 and x = 4 x = negative 3 and x = negative 4
The true solution to the logarithmic equation log(x)+log(x+5)=log(6x+12) is 4 option second is correct.
It is given the logarithmic equation [tex]\rm logx+log(x+5)=log(6x+12)[/tex].
It is required to find the true solution to the above logarithmic equation.
What is Logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\[/tex]
[tex]\rm log_ac=b[/tex]
We have:
[tex]\rm logx+log(x+5)=log(6x+12)[/tex]
By using log property:
[tex]\rm logx + logy= log(xy)[/tex]
[tex]\rm log((x)(x+5))=log(6x+12)[/tex]
Taking [tex]\rm log_1_0[/tex] base and removing the log from the sides we get:
[tex]\rm x(x+5)= 6x+12\\\\\rm x^2+5x=6x+12\\\\\rm x^2-x-12=0[/tex]
It is quadratic equation solving by factorization method:
[tex]\rm x^2-x-12=0\\\\\rm x^2+3x-4x-12=0\\\\\rm x(x+3)-4(x+3)=0\\\\\rm (x+3)(x-4)=0\\\\\rm x+3=0 \ or \ x-4=0\\\\ \rm x=-3 \ or \ x=4\\\\[/tex]
A negative Logarithm value does not exist.
Hence, the true solution to the logarithmic equation log(x)+log(x+5)=log(6x+12) is x = 4
Learn more about the logarithm here:
https://brainly.com/question/163125
Heidi is riding her bike to visit a friend in another town. Her speed is inversely related to her travel time. If she is Charlie at 15 mph it will take her for hours to reach her destination. How long will it take her if she travels at 12 mph?
Step-by-step explanation:
I am not sure I understand the question with all the typos and potentially missing parts.
as I understand it, it will take her 4 hours to reach her destination when going 15 mph.
and the question is how long the trip will take, if she travels at 12 mph.
4 h × 15 m/h = 4 × 15 m = 60 miles
that is the distance of her trip.
when going slower, the distance is of course still the same, only the needed time changes :
x h × 12 m/h = 60 m
x × 12 m = 60 m
x = 60/12 = 5 hours
the trip would take her 5 hours to complete (instead of 4).
Jason is having a pizza party for
his birthday. If he is having 20
friends over and they each eat 3/8
Of a pizza, how many pizzas should
he buy for the party?
Answer:
8 pizzas
Step-by-step explanation:
If each of the 20 people eats 3/8 of pizza, to calculate the total number of pizzas needed, multiply 20 by 3/8 and round up to the nearest whole number.
[tex]\sf total \ number \ of \ pizzas=20 \times\dfrac38[/tex]
[tex]=\dfrac{20 \times3}8[/tex]
[tex]=\dfrac{60}8[/tex]
[tex]=\dfrac{15}2[/tex]
[tex]=7.5[/tex]
Therefore, he should buy 8 pizzas for the party.
10. Which of the following are true of the equation x = log10 (12,500)? Select all that apply.
A. x < 4
B. X = 4
C. x > 4
D. x < 5
E. X = 5
F.x > 5
Answer: C, D
Step-by-step explanation:
It takes Sally 15 min to pick the apples from the tree in her backyard. Lisa
can do it in 25 min. How long will it take them working together?
The answer for this problem is that the number is 31p
PLS HELP ME THIS ENDS TODAY I WILL MARK THE BRAINLIEST
Can someone pls help me
Answer: y=4.5, z=6.7, x=6
Step-by-step explanation:
A researcher administers a treatment to a sample of participants selected from a population with µ = 80. If a hypothesis test is used to evaluate the effect of the treatment, which combination of factors is most likely to result in rejecting the null hypothesis?
a. a sample mean near 80 with a=.05b. a sample mean much different than 80 with a=.05c. a sample mean much different than 80 with a=.01d. a sample mean near 80 with a=.01
Answer:
The answer is "Option c"
Step-by-step explanation:
In the given question, in choice c the numerice value is missing, that is "0.05".
The null hypothesis can only be rejected whether there is enough statistical data than that of the critical values.
The options A and B are not accurate, because the mean test of around 80 means that now the check-in and check number is lower, giving small statistics of the experiment and resulting in the null hypothesis is not rejected. In the C or D is true, however, the importance or alpha level need to be tested Alpha level 0.05 is 5% likely to reject an absolute zero hypothesis so, although 0.01 alpha level is 1% more likely to oppose an absolute zero hypothesis, Therefore, the alpha 0.05 rating is stronger.Which expression is equivalent to StartFraction 5 y cubed Over (5 y) Superscript negative 2 Baseline EndFraction? y5 y6 125y3 125y5.
The expression which is equivalent to Start Fraction 5 y cubed Over (5 y) Superscript negative 2 Baseline End Fraction is
[tex]125y^5[/tex]
How to find the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
To find the equivalent expression, simplify the provided function using the mathematical operations.
The given algebraic expression is,
[tex]\dfrac{5y^3}{(5y^{-2})}[/tex]
Suppose the equivalent expression of this fraction is n. Thus,
[tex]n=\dfrac{5y^3}{(5y^{-2})}\\\\n=\dfrac{5y^3}{((5)^{-2}y^{-2})}\\[/tex]
In the division the power of the same number is subtracted. Therefore,
[tex]n=(5)^{1-(-2)}(y)^{3-(-2)}\\n=5^3\times y^5\\n=125y^5[/tex]
Hence, the expression which is equivalent to StartFraction 5 y cubed Over (5 y) Superscript negative 2 Baseline EndFraction is
[tex]125y^5[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
Answer:
The answer is D.
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Translate this sentence into an equation,
42 is the difference of Julie’s age and 14. Use the variable j to represent Julie’s age
Answer:
x-14=42
Step-by-step explanation:
let x be Julies age x= the difference between julies unknown age and 14
Quadrilateral MNOP with verticles M(3,-1), N(8,-4), (6,-6), and P(1,-7); is rotated 180 degrees. What are the new points?
Answer:
The new points after a rotation of 180 degrees is;
M’ = (-3, 1)
N’ = (-8,4)
O’ = (-6,6)
P’ = (-1 , 7)
Step-by-step explanation:
Given a point (x , y) and we rotate by 180 degrees , the new point will be (-x , -y)
So to the question;
M’ = (-3, 1)
N’ = (-8,4)
O’ = (-6,6)
P’ = (-1 , 7)
y=mx+b
solve for x
please it is due today if right ill give brain list
Answer:x=y-bm
Step-by-step explanation:
Answer:
x = y-b/m
Step-by-step explanation:
Step 1: y = mx + b
Step 2: Bring b to the left side of the equation
Step 3: y - b = mx
Step 4: To isolate for x, we must get rid of m. Therefore, divide m on both sides of the equation
Step 5: y-b/m = mx/m
Step 6: On the right side of the equation, m and m crosses out.
Step 7: All we have left is: y-b/m = x
(Or you can write it as x = y-b/m)
Hope this helps.
Which statement about the ordered pairs (−9, 3) and (2, −4) is true for the equation 6x−y2=14?
(2, −4) is a solution to the equation.
Both ordered pairs are solutions.
(−9, 3) is a solution to the equation.
Neither ordered pair is a solution.
Help I need to hand this in soon
Answer:
∠x = 50°
Step-by-step explanation:
All external angles of a polygon add up to 360°.
Therefore,
78° + ∠x + 95° + ∠x + 37° + ∠x = 360°3∠x + 210° = 360°3∠x = 150°∠x = 50°Which of the following shows the true solution to the logarithmic equation solved below? log subscript 2 baseline (x) = log subscript 2 baseline (x 7) = 3. log subscript 2 baseline left-bracket x (x 7) right-bracket = 3. x (x 7) = 2 cubed. x squared 7 x minus 8 = 0. (x 8) (x 1) = 0. x = negative 8, 1 x = negative 8 x = 1 x = 1 and x = negative 8 x = 1 and x = 8
The value which shows the true solution to the logarithmic equation solved below is 1.
What is domain and range of function?Domain of a function is the set of all the possible input values which are valid for that function.
Range of a function is the set of all the possible output values which are valid for that function.
The given logarithmic equation is,
[tex]\log_2x+\log_2(x+7)=3[/tex]
Use the addition property of log in above expression.
[tex]\log_2[x\times(x+7)]=3[/tex]
Use the power rule property of log in above expression.
[tex][x\times(x+7)]=2^3\\x\times(x+7)=8\\x^2+7x-8=0[/tex]
Solve the quadratic equation with the help of split the middle term method,
[tex]x^2+8x-1x-8=0\\x(x+8)-1(x+8)=0\\(x+8)(x-1)=0\\x=-8,1[/tex]
Here, the two values of variable we get. One is positive and another is negative. As the logarithmic function is defined only for positive real number as its input.
Thus, the value which shows the true solution to the logarithmic equation solved above is 1.
Learn more about the domain and range of the function here;
https://brainly.com/question/2264373
Answer:
1
Step-by-step explanation:
edge 2022
HELPP! The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. Find the
width of the rectangle.Show each step and explain what was performed for each step.
Answer:
Length of the rectangle = 14.5 inches
Width of the rectangle = 37.5 inches
Step-by-step explanation:
Let the length of a rectangle = a inches
Since, width of the rectangle is 6 inches less than 3 times the length,
w = 3a - 6
Perimeter of the rectangle = 104 inches
Formula to calculate the perimeter of a rectangle = 2(length + width)
104 = 2[a + (3a - 6)]
2a + 2(3a - 6) = 104 → [Starting equation]
8a - 12 = 104 → [Distributive property]
8a - 12 + 12 = 104 + 12 → [Addition property of equality]
a = [tex]\frac{116}{8}=14.5[/tex] → [Division property of equality]
a). width of the rectangle = (3a - 6) = 37.5 inches
b). length of the rectangle = 14.5 inches
The width of the rectangle is 37.5 inches and the length of the rectangle is 14.5 inches.
The perimeter of a rectangle is represented as follows:
perimeter = 2l + 2w
where
w = width
l = length
Therefore,
perimeter = 104 inches
let
the length = a
Therefore,
width = 3a - 6
Therefore,
104 = 2a + 2(3a - 6)
104 = 2a + 6a - 12
116 = 8a
a = 116 / 8
a = 14.5 inches
width = 3(14.5 ) - 6 = 37.5 inches
Therefore, the width of the rectangle is 37.5 inches and the length of the rectangle is 14.5 inches.
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5. If the number of employees is represented by x, which function represents the
amount each received?
a. f(x) = 65000x
b. f(x) = x + 65000
c. f(x)
d. f(x) = x - 65000
65000
Consider the missing lines of question are "Due to the Enhanced Community Quarantine, Grand Royal Spa temporarily stopped its operation and to help the employees, the owner decided to split evenly its total revenue of 65,000.00".
Given:
Total revenue = 65000
Number of employees = x
To find:
The function which represents the amount each received.
Solution:
We know that,
[tex]\text{Amount each received}=\dfrac{\text{Total revenue}}{\text{Number of employees}}[/tex]
Substitute the given values in the above formula.
[tex]\text{Amount each received}=\dfrac{65000}{x}[/tex]
So, the function which represents the amount each received is
[tex]f(x)=\dfrac{65000}{x}[/tex]
Therefore, the required function is [tex]f(x)=\dfrac{65000}{x}[/tex].
Note: Given options are not correct and option C is incomplete.
If DF=7x-3 and EG=5x+9, find the value of X
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
Using the given measurements of the angles and the lengths of the sides, we can determine that this figure must be a rectangle.
Diagonals of a rectangle are always equivalent/congruent.
We can use this information to set up an equation:
[tex]DF=EG\\7x-3=5x+9[/tex]
Add 3 to both sides:
[tex]7x-3+3=5x+9+3\\7x=5x+12[/tex]
Subtract 5x from both sides:
[tex]7x-5x=5x-5x+12\\2x=12[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{12}{2}\\x=6[/tex]
Answer:
6[tex] \: [/tex]
Step-by-step explanation:
A rectangle is a parallelogram with equal angles and the diagonals of a rectangle are of equal length.
[tex] \: [/tex]
Therefore,
[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {DF = EG}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \sf{ \pmb {7x - 3 = 5x + 9}}}} \: \: \\ \\[/tex]
Subtracting 5x from both sides we get :
[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {7x - 5x - 3 = 5x - 5x + 9}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \sf{ \pmb {2x - 3 = 9}}}} \: \: \\ \\[/tex]
Adding 3 to both sides we get :
[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {2x - 3 + 3 = 9 + 3}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \sf{ \pmb {2x = 12}}}} \: \: \\ \\[/tex]
Dividing 2 from both sides we get :
[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb { \frac{2x}{2} = \frac{12}{2} }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \frak{ \pmb {x = 6}}}} \: \: \\ \\[/tex]
Therefore,
The value of x is 6Kaitlin drove 567 miles in 9 hours. At the same rate, how long would it take her to drive 819 miles? hours
Answer:
13 hours
Step-by-step explanation:
567/9= 63 mile per hour
819/63 = 13
13 hours
Answer:
13 hours
Step-by-step explanation:
how long does she drive in one hour?
567/9=63
she drives 63mph
819/63=13
it will take her 13 hours to drive 819 miless