Answer:0.56
Step-by-step explanation:
You simply divide 14 by 25
so 14÷25 or 14/25
put that in a calculator and it comes out to 0.56
Answer:0.56
Step-by-step explanation:
if you make the 25 into 100 which is x4 and 14x4= 56
so it will be 56/100 which is 0.56
write parallel and perpendicular equation thru (-3,5) y=2/3x + 1
Answer:
Step-by-step explanation:
1 Simplify (-3,5)y(−3,5)y to -3,5y−3,5y.
-3,5y=\frac{2}{3}x+1
−3,5y=
3
2
x+1
2 Simplify \frac{2}{3}x
3
2
x to \frac{2x}{3}
3
2x
.
-3,5y=\frac{2x}{3}+1
−3,5y=
3
2x
+1
3 Switch sides.
\frac{2x}{3}+1=-3,5y
3
2x
+1=−3,5y
4 Break down the problem into these 2 equations.
\frac{2x}{3}+1=-3
3
2x
+1=−3
\frac{2x}{3}+1=5y
3
2x
+1=5y
5 Solve the 1st equation: \frac{2x}{3}+1=-3
3
2x
+1=−3.
x=-6
x=−6
6 Solve the 2nd equation: \frac{2x}{3}+1=5y
3
2x
+1=5y.
x=\frac{3(5y-1)}{2}
x=
2
3(5y−1)
7 Collect all solutions.
x=-6,\frac{3(5y-1)}{2}
x=−6,
2
3(5y−1)
PLEASEEEEEEEEEEE HELP!!!!!!!
Answer:
answer y=-5/3x+5
Step-by-step explanation:
The slope is decreasing so the slope is negative
Rise is 5 run is 3 so its 5/3 but the slope is negative so its -5/3
Y intercept is located at 0,5 so it equals 5
y=-5/3x+5
The equation of line will be;
⇒ y = - 5/3x + 5
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is decreasing.
The rise will be 5.
The run will be 3.
Now,
Since, The equation of line is decreasing.
Hence, The slope of the line is negative.
Here, The rise will be 5.
The run will be 3.
So, The slope = Rise / Run
= 5/3
Thus, The slope = - 5/3
So, The equation of line in point-slope form will be;
⇒ y = mx + b
⇒ y = - 5/3x + 5
Thus, The equation of line will be;
⇒ y = - 5/3x + 5
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(6×10 to the ninth power)divided by (2.4×10 to the third power)
Answer:
2.5×10 to the sixth power
Step-by-step explanation:
6÷2.4=2.5
10^9÷10^3=6
A carpenter is using a lathe to shaper the final leg of a handcrafted table. In order for the leg to fit, it needs to be 150 mm wide allowing for a margin of error of 2.5mm. Find the range of widths for the table leg can be.
if i have 12 cupcakes and i have to take away 80% how many cupcakes do you have
You have remains 2.4 cupcakes when taking away 80% of the cupcakes.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that
The total number of cupcakes was 12
Then take away 80% of cupcakes
The number of cupcakes you have = 12 - (80% of 12)
The number of cupcakes you have = 12 - (80/100) × 12
The number of cupcakes you have = 12 - 0.80 × 12
The number of cupcakes you have = 12 - 9.6
Apply the subtraction operation,
The number of cupcakes you have = 2.4
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If f(x) = |x – 1] + 2 is changed to g(x) = -2f(x) + 8, how is the graph of the function transformed?
we have
f(x) = |x – 1] + 2
g(x) = -2f(x) + 8
substitute the value of f(x) in g(x)
so
g(x)=2(|x – 1] + 2) +8
g(x)=2|x – 1] + 4 +8
g(x)=2|x – 1] + 12
Using a graphing tool
see the attached image
3024 divided by 42 with remainder
Answer:
72 Remainder: 0
Step-by-step explanation:
3024 / 42 = 72
Remainder of 0!
Answer:
Step-by-step explanation:
72 Remainder 0
Answer the questions below about the quadratic function.f(x) = -2x² - 4x
We are given the function below;
[tex]f(x)=-2x^2-4x[/tex]PART A
We then proceed to find if the function has a minimum or maximum value. To find if the function has a minimum or maximum value. If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum.
ANSWER: From the above, we can see that x^2 is negative, hence the function has a maximum
PART B and C
To find the minimum or maximum value, we would plot the graph of the f(x). The graph can be seen below.
From the graph, the black point helps answer part A and part B.
ANSWER: The function's maximum value is f(x)=2.
This is the point where the slope of the graph is equal to zero
ANSWER: The maximum value then occurs at x= -1
We can also solve this by differentiating the function.
[tex]\begin{gathered} f(x)=-2x^2-4x \\ f^{\prime}(x)=-4x-4 \\ At\xi maxmum\text{ }f^{\prime}(x)=0 \\ -4x-4=0 \\ -4x=4 \\ x=-\frac{4}{4} \\ x=-1 \\ \therefore\text{The max}imum\text{ value occurs at x=-1} \\ \text{Inserting the value of x into the function, we have} \\ f(x)=-2(-1)^2-4(-1) \\ f(x)=-2+4 \\ f(x)=2 \\ \therefore\text{The function max}imum\text{ value is 2} \end{gathered}[/tex]find thevsurface area of a square pyramid wuth side length 3 km and slant height 5 km
The Total Surface Area = 4 triangles + 1 square
The TSA of the Pyramid = 4(1/2 bh) + LxL
[tex]\begin{gathered} d^2=3^2+3^2 \\ d^2=9+9 \\ d=\sqrt[]{18}\text{ =}\sqrt[]{9\times2}=\sqrt[]{9}\text{ }\times\sqrt[]{2}\text{ =3 }\sqrt[]{2} \end{gathered}[/tex][tex]\begin{gathered} 5^2=h^2+(\frac{3}{2})^2 \\ 25-\frac{9}{4}=h^2 \\ 25-2.25=h^2 \\ h=\sqrt[]{22.5}\text{ =1.5km} \end{gathered}[/tex]TSA of the pyramid =
[tex]4(\frac{1}{2}\times5\times3)+(3^2)=(2\times15)+9=30+9=39km^2[/tex]Write the fraction 27/72 in simplest form
Therefore, 27/72 simplified to lowest terms is 3/8.
Niko uses 1212marshmallows and 88graham crackers to make 44s'mores. Drag marshmallows and graham crackers into the box to show how many Niko needs to make 33s'mores.
What is the length in units of segment cd
Answer: 7.2
Step-by-step explanation: I took the test and got it correct, I'm just trying to spread the correct answer around.
A building security code has 2 numeric digits, 0 through 9, followed by 2 letters. What is the probability that the first digit is nine and the last letter is a?.
The probability of the event that the first digit is nine and the last letter is a is 1/260.
The building security code has 2 numeric digits in between 0-9 and 2 letters.
The choices for letters is 26 each and the choices for digits is 10 each.
So, the total possible security code can be,
Total security codes possible = 10 × 10 × 26 × 26
Total security codes possible = 67600
Now, the number of codes that starts with 9 and end with a are,
= 1 × 10 × 26 × 1
= 260
The probability that the first digit is nine and the last letter is a is,
P(E) = 260/67600
P(E) = 1/260
So, the probability that the first digit is nine and the last letter is a is 1/260.
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what is the gcf for 18x^3 y^2, 9xyz
Given,
[tex]18x^3y^2,9xyz[/tex]To find GCF we will factor constant and variable terms individually,
First factorize 18:
[tex]18=1,2,3,6,9,18[/tex]Factors of 9:
[tex]9=1\times3\times9[/tex]Now,
[tex]\begin{gathered} 18=1,2,3,6,9,18 \\ 9=1,3,9 \end{gathered}[/tex]Now GCF of 18,9 is 9.
GCF of
[tex]x^3=x,x,x[/tex]GCF of
what is the value of f(-9) to the nearst hundredth
For this problem, we are given the expression for a function, f(x), and we need to determine the value of f(-9) to the nearest hundredth.
The expression is:
[tex]f(x)=2^{8+x}+7[/tex]We need to replace "x" with the value "-9", and simplify the expression.
[tex]\begin{gathered} f(-9)=2^{8-9}+7 \\ f\mleft(-9\mright)=2^{-1}+7 \\ f\mleft(-9\mright)=\frac{1}{2}+7 \\ f\mleft(-9\mright)=0.5+7=7.5 \end{gathered}[/tex]The value of f(-9) is 7.5
Solve p3 = −343.
p = ±18
p = −18
p = ±7
p = −7
Answer:
p = -7
Step-by-step explanation:
[tex] {p}^{3} = - 343[/tex]
[tex]p = \sqrt[3]{ - 343} = - 7[/tex]
From the diagram below, if AC is a tangent line, and if PD = 8 and DC = 9, find the length of BC.
Given,
PD = 8 and DC = 9
Required
The length of line BC.
Here, PB and PD are the ardius of the circle. By the definition of circle, the measure of all radius is equal.
So, PB = PD = 8.
The tangent is always perpendicular to the radius at the point of tanjency.
By the pythagoras theorem,
[tex]\begin{gathered} PB^2+BC^2=PC^2 \\ 8^2+BC^2=(17)^2 \\ BC^2=289-64 \\ BC^2=225 \\ BC=15 \end{gathered}[/tex]Hence, the measure of BC is 15 units.
what is the answer to 24+12x=-12
don’t need an explanation just the answer. Community takes too long lol
SOLUTION
Step 1: Find the area of the wall.
[tex]\begin{gathered} A=l\times b \\ A=42\times25.5 \\ A=1071ft^2 \end{gathered}[/tex]Step 2: Find the cost of wallpaper per square foot
[tex]=\frac{total\text{ cost of wallpaper}}{Area\text{ of the wall}}[/tex][tex]\begin{gathered} =\frac{771.12}{1071} \\ =0.72\text{ dollars} \end{gathered}[/tex]The correct answer is B: $0.72
Jacob invests $8,634 in a savings account with a fixed annual interest rate of 2.67% compounded continuously. What will be the account balance be after 6 years?
Answer:
$10134.12
Step-by-step explanation:
Pe^(rt)
8634e^(0.0267)(6)
8634e^(0.1602)
= 10134.12
I hope this helps!
If Z has a standard normal probability distribution, find P(Z > −0.75).
Given that Z has a standard normal probability distribution, you need to find the following Probability:
[tex]P(Z>-0.75)[/tex]Therefore, you can find it using the Standard Normal Distribution Table.
By symmetry, you can determine that:
[tex]P(Z>-0.75)=1-P(Z<-0.75)[/tex]Using the Standard Normal Distribution Table (Left Tail), you get that:
[tex]P(Z<-0.75)\approx0.2266[/tex]Therefore:
[tex]P(Z>-0.75)=1-0.2266\approx0.7734[/tex]Hence, the answer is:
[tex]P(Z>-0.75)\approx0.7734[/tex]need help with error analysis assingment, im in high school and ive always struggled with math alot pls help
Given
A) The angles A and B are supplementary.
If,
[tex]\begin{gathered} \angle A=x+6 \\ \angle B=7x+30 \end{gathered}[/tex]B) The figure,
To find
A) The value of x.
B) The value of x.
Explanation:
A) It is given that,
Angle A and angle B are supplementary.
Then,
[tex]\angle A+\angle B=180\degree[/tex]Hence, the error is in the statement,
Since the angles are supplementary, when added together they equal 90.
As, the correct answer is when added together they equal 180.
That implies,
[tex]\begin{gathered} x+6+7x+30=180 \\ 8x+36=180 \\ 8x=180-36 \\ 8x=144 \\ x=\frac{144}{8} \\ x=18\degree \end{gathered}[/tex]Hence, the value of x is 18 degrees.
B) It is given that,
From, the figure the given angles are interior angles.
Also, the interior angles on the same side of the transversal is supplementary.
Which means when you add them they equal 180.
Hence, the error is in the statement,
Since the angles are adjacent, they are complementary angles.
Which means when you add them they equal 180.
As, the angles are interior angles on the same side of the transversal.
Also,
[tex]\begin{gathered} 64+x=180 \\ x=180-64 \\ x=116\degree \end{gathered}[/tex]Hence, the value of x is 116 degrees.
Find the volume and surface area of the hexagonal pyramid.
Solution
A hexagonal pyramid is a three-dimensional object with a hexagon-shaped (6 sides) base and six triangular faces originating from each side to a common vertex.
The distance between the center of the hexagonal base and the common vertex is the altitude or height (h) of the pyramid.
The length of the base's side is the base edge or base length (a) of the pyramid.
A number time 5 less that number has a product of -4. What are the two numbers?
Let the first number be x.
The second number is 5 times less than x => x - 5
Therefore, we can write the statement as
[tex]\begin{gathered} x\times(x-5)=-4 \\ x^2-5x=-4 \\ \therefore \\ x^2-5x+4=0 \end{gathered}[/tex]Solving the quadratic equation:
Let us replace -5x in the equation with -4x and -x to be able to factorize.
Hence,
[tex]\begin{gathered} x^2-4x-x+4=0 \\ x(x-4)-1(x-4)=0 \\ (x-4)(x-1)=0 \\ \text{Therefore} \\ x-4=0\text{ } \\ or \\ x-1=0 \end{gathered}[/tex]Hence,
[tex]\begin{gathered} x=1 \\ or \\ x=4 \end{gathered}[/tex]Therefore, the number can be 1 or 4.
The second number can be
[tex]\begin{gathered} 1-5=-4 \\ or \\ 4-5=-1 \end{gathered}[/tex]Therefore, the pair of numbers can be
[tex](1,-4)\text{ or (4, -1)}[/tex]i need help with the question where I wrote +1 and +2. to find the slope do I just do 2/1
To find out the slope we need two points
from the table
we take
(0,1) and (1,3)
so
m=(3-1)/(1-0)
m=2/1
m=2Which exponential function matches the values in the table below?3521612967776y=21631y = 6xy=6(67y=(6
Verify each equation
option A
For x=3 ------> y=216(3^3)=
Please answer this question!
Answer: 1/4
Step-by-step explanation: 1/2 turned into decimal form is 0.5 but halved equals 0.25 which in fraction form is 1/4
Find the slope of the line that passes through (2, 7) and (-4, 19).
m =
The slope, m, of the line that passes through (2, 7) and (-4, 19) is -2.
According to the question,
We have the following information:
A line is passing through two points (2,7) and (-4,19).
We know that the slope of the line is denoted by m and the following formula is used to find the slope of the line passing through two points:
m = (y2-y1)/(x2-x1)
(More to know: we can also easily find the equation of the line using the slope given and the points from which the line is passing.)
In this case, we have x1 = 2, y1 = 7, x2 = -4 and y2 = 19.
m = (19-7)/(-4-2)
m = 12/(-6)
m = -2
Hence, the slope, m, of the line that passes through (2, 7) and (-4, 19) is -2.
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The difference of the digits of a 2-digit number is 3. If the digits are interchanged and the new number is added
to the original number, the result is 77. Find the original number.
Answer:
Original number = 10x + y = 52
Step-by-step explanation:
25.10.2 Test (CST): Polynomial FunctionsQuestion 9 of 25Which of the two functions below has the smallest minimum .y-value?f(x) = x5-2g(x) = 3x² + 1O A. g(x)OB. There is not enough information to determineC. The y-values for f(x)and g(x) both go to -O D. f(x)SUBMIT
Solution
- To find the minimum values of the functions, we need to find the x-value of the vertex of the quadratic function, and then subsitute this x-value into the function to get its minimum value, while for the quintic equation, we simply apply the fact that it is an odd function. Because of this, the tails of the function move in opposite directions; one towards positive infinity, while the other moves towards negative infinity.
- The formula for finding the x-value of the vertex of a quadratic function is:
[tex]x=-\frac{b}{2a},\text{ Given, }ax^2+bx+c=f(x)[/tex]- Thus, we can find the x-value of the vertex for the quadratic equation as follows:
[tex]\begin{gathered} f(x)=3x^2+1 \\ a=3,b=0,c=1 \\ \\ \therefore x=-\frac{b}{2a}=-\frac{0}{2(3)}=0 \end{gathered}[/tex]- Now that we have the x-value of the vertex of the quadratic equation, we can find its minimum value as follows:
[tex]\begin{gathered} f(x)=3x^2+1 \\ put\text{ }x=0 \\ f(x)=3(0)^2+1 \\ f(x)=1 \end{gathered}[/tex]- Thus, the minimum value of the quadratic equation is 1.
- Next, we already know that the quintic equation moves down towards negative infinity. Thus f(x), the quintic equation, has a smaller minimum value
Final Answer
f(x), the quintic equation, has a smaller minimum value