Answer:
17
Step-by-step explanation:
f (x) = x+13
Let x = 4
f(4) = 4+13
= 17
Answer:
[tex]17[/tex]
Step-by-step explanation:
[tex]f(x)=x+13[/tex]
[tex]\mathrm{Plug \: x \: as \: 4 \: and \: evaluate.}[/tex]
[tex]f(4)=4+13[/tex]
[tex]f(4)=17[/tex]
The hypotenuse of an isosceles right triangle is 4sqrt(2) units. How many square units are in the area of the triangle?
Answer:
8sqrt(2)
Step-by-step explanation:
An isosceles is a triangle with 2 45 degree angles and one 90 degree angle.
if the hypotenuse side=4sqrt(2) than that means the other 2 sides have to be just 4 units.
the formula for a triangle is than (base×height)÷2
4×4sqrt(2)=16sqrt(2)
(16sqrt(2))/2=8sqrt(2)
Answer:
19.595 units²
Step-by-step explanation:
Find length of other sides:
An isosceles triangle has 2 sides equal. It has two 45 degrees angles and one 90 degrees angle. We can use Pythagorean theorem.
[tex](4\sqrt{2} )^2 =a^2 +a^2[/tex]
[tex]32 =2a^2[/tex]
[tex]16=a^2[/tex]
[tex]4=a[/tex]
The 2 equal sides measure 4 units.
Find area:
base × height × 1/2
The height can be found by Pythagorean theorem.
height² = 4² + 4sqrt(2)²
height² = 16 + 32
height² = 48
height = 6.928
base is given
4sqrt(2) × 6.928 × 1/2
= 19.595343
How many houses are on Prince Street?
Answer:
25 houses on prince street
Step-by-step explanation:
add them up and bam
Answer:
25 houses
Step-by-step explanation:
You need to add up all the houses and u will get the ans..
Have a good day !!
Hope this helps..
Pls mark my ans as branliest :)If u mark my ans as brainliest then u are the "bestestest " person in the world :)A lion can eat a sheep in 2 hours, a wolf can eat a sheep in 3 hours, and a dog can eat the sheep in 6 hours. How long would it take a lion, a wolf, and a dog all together to eat the poor sheep?
Answer:
1 hour
Step-by-step explanation:
The lion's speed is 1 sheep / 2 hours = ½ sheep/hour.
The wolf's speed is 1 sheep / 3 hours = ⅓ sheep/hour.
The dog's speed is 1 sheep / 6 hours = ⅙ sheep/hour.
Their combined speed is ½ + ⅓ + ⅙ = 1 sheep/hour.
So working together, it will take them 1 hour to eat 1 sheep.
Answer:
1 hour
Step-by-step explanation:
1/2 + 1/3 + 1/6 = 1
What happens when the multiplicity of a real root is odd?
Answer:
A: the graph will cross the x-axis
Answer:
A: the graph will cross the x-axis
Step-by-step explanation:
The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function. Question 9 options: A) image B) image C) image D) image
Answer:
A
Step-by-step explanation:
The lengths of the sides of a triangle are in the ratio of 6:6:5. The perimeter of the triangle
is 34 centimeters. Find the length of each side of the triangle.
Hello!
Answer:
12 cm, 12 cm, 10 cm.
Step-by-step explanation:
Given:
Perimeter, or P = 34 cm
Ratio of sides = 6 : 6 : 5
To find the length of each side, we can use a variable in the ratio to find the perimeter:
34 = 6x + 6x + 5x
Combine like terms:
34 = 17x
Solve for x:
34/17 = 17x/17; x = 2
Plug in this value of "x" into each expression for the side-lengths:
6(2) = 12 cm
6(2) = 12 cm
5(2) = 10 cm
Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.
Hope this helped you! :)
Answer:
12, 12 and 10 cm.
Step-by-step explanation:
6 + 6 + 5 = 17
So one side = 6/17 * 34 = 12 cm
One other side is also 12 cm
The third side = 5/17 * 34 = 10 cm.
please help me immediately
Step-by-step explanation:
[tex]diameter \: = \sqrt{ { 24}^{2} + {7}^{2} } = 25 [/tex]
[tex]shaded \: area \: = circle - tringle[/tex]
[tex]shaded \: area = ( \frac{\pi}{4} \times {25}^{2} ) - ( \frac{1}{2} \times 7 \times 24)[/tex]
[tex]shaded \: area \: = (490.6) - (84) = 406.6 \: = 407 \: {cm}^{2} [/tex]
Find the exact value of the following. The distance traveled by a car going 65 miles per hour for 3.5 hours is ____ miles.
Answer:
227.5
Step-by-step explanation:
D=ST so X= 65 x 3.5 = 227.5 miles
D=Distance = x
S=Speed = 65
T=Time = 3.5
Please answer quickly.
Answer:
Option 4
Step-by-step explanation:
=> [tex]\frac{4}{5} x^{-9}y^6z^8[/tex]
If there is any variable having a negative exponent, we should move it to its opposite side (Denominator to numerator and vice versa) So that it's exponent become positive.
=> [tex]\frac{4y^6z^8}{5x^9}[/tex]
Answer: D) [tex]\frac{4y^6z^8}{5x^9}[/tex]
Step-by-step explanation:
(4/5)x^-9y^6z^8 = [tex]\frac{4x^{-9}y^6z^8}{5}[/tex]
Any negative exponent can be taken to the other side of the fraction to be positive. Thus,
[tex]\frac{4x^{-9}y^6z^8}{5}[/tex] = [tex]\frac{4y^6z^8}{5x^9}[/tex]
Hope it helps <3
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
2. x = -16 y = -10.5
3. x = 4
4. x = 3 y = 2/9 or 0.2222222222222...
Step-by-step explanation:
2.
in my stategy, you plus -5x + 8y = -4 with 6x - 8y = -12
+8y and -8y could delete each other, then y will be gone.
-5x + 6y = 1x = x because -5 + 6 = 1
so then you could got x = (-4) + (-12) which means x = -16
if x = -16 that will then means
(-5) x (-16) + 8y = -4
80 + 8y = -4
8y = -4 - 80
8y = -84
y = -10.5
3.
This question has already given you that y = -5
that means, 3x + 6 × (-5) = -18
3x + -30 = -18
3x = -18 - (-30)
3x = 12
x = 4
4.
Like the 2. qestion, you first plus the 2 equation together,
+9y + -9y = 0
-7x + 4x = -3x
-19 + 10 = -9
than means
-3x = -9
x = 3
then put the x = 3 in one of the equation.
4 x 3 - 9y = 10
12 - 9y = 10
-9y = 10 - 12
-9y = -2
-7 x 3 + 9y = -19
-21 + 9y = -19
9y = -19 + 21
9y = 2
y = 2/9 or 0.2222222222...
Wish this could help you!
Answer:
Step-by-step explanation:
FIRST ,
ADD BOTH EQUATIONS
THEREFORE X=-16 , Y =-21/2
SECOND,
SUBSTITUTE Y=-5 IN EQN.1
THEREFORE X= 4 , Y=-5
THIRD ,
ADD BOTH EQUATIONS
THEREFORE X= 3 , Y= 2/9
MARK ME AS BRAINLIEST PLS...........................................
Translate the following into an algebraic expression: A number is 30% of 20% of the number x.
Answer:
.06x
Step-by-step explanation:
So 20 percent of x has to first be represented. So would do .2x. So then we have to find 30% of that number. So we multiply .2x*.3 and we get 0.06x.
I believe this is correct but tell me if I'm wrong
Answer:
0.06x
Step-by-step explanation:
.2x*.3=0.06x
Find the length of x.
Here are the shopping times in minutes) of a sample of 19 shoppers at a local grocery store.
45, 22, 34, 30, 28, 27, 33, 35, 40, 26, 41, 29, 42, 44, 25, 46, 32, 38, 36
Draw the histogram for these data.
Frequency
Х
6
?
6-
5-
4
3
0
0
0
0
0
0-
22-26
37-41
42-46
27-31 32-36
Times (in minutes)
Answer:
22-26: frequency = 3
27-31: frequency = 4
32-36: frequency = 5
37-41: frequency = 3
42-46: frequency = 4
Jamila wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is divisible by 5? Input your answer as a decimal or fraction.
100 total numbers.
20 Numbers divisiblae by 5: 5, 10, 15, 20, 25, 30, 35,40,45,50,55,60,65,70,75,80,85,90,95,100
Probability = 20/100 = 2/10
Answer:
1/5
Step-by-step explanation:
There are total 100 numbers.
Numbers divisible by 5 through 1-100 are:
5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100
There are 20 numbers that are divisible by 5.
20/100 = 1/5
HElp Find the line of symmetry for the parabola whose equation is y = 2x∧2 - 4x + 1.
x = 2
x = -1
x = 1
Answer:
x = ---------- = 1
Step-by-step explanation:
The formula for the axis of symmetry is x = -b/(2a). In this case b = -4 and a = 2, and so the axis of symmetry is
-(-4)
x = ---------- = 1
2(2)
Answer:
x=1
Step-by-step explanation:
because I said so
Tim wants to build a rectangular fence around his yard. He has feet of fencing. If he wants the length to be twice the width, what is the largest possible length? Write an equation and solve.
Answer:
how many feet of fencing does he have?
\
Step-by-step explanation:
Martin uses 8 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon?
Answer: 32/345 wall per gallon
Step-by-step explanation:
Rate is defined as ratio between two quantities with different units.
Gallons of paint used by Martin = 8 5/8 gallons = 69/8 gallons
Portion of wall Martin wishes to pint = 4/5 wall
Rate at which Martin paints the wall:
= Portion of wall covered / paint used
=
4/5 / 69/8 = 32/345 wall per gallon
Answer:
Martin paints 0.093 walls per gallon of paint
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Amount of paint used by Martin = 8 5/8 of a gallon
Ratio of wall painted by Martin with 8 5/8 of a gallon = 4/5
2. What is the unit rate at which Martin paints in walls per gallon?
Let's convert the mixed fractions to decimals this way:
8 5/8 = 8 + 0.625 = 8.625
4/5 = 0.8
Now, let's use the Direct Rule of Three, this way:
Gallons Walls
8.625 0.8
x 1
Solving for x :
0.8x = 8.625 * 1
x = 8.625/0.8
x = 10.78125
x = 10.8 (rounding to next tenth) gallons
For painting a wall, we will use 10.8 gallons of paint. Now, we can calculate the unit rate at which Martin paints in walls per gallon, this way:
Gallons Walls
10.8 1
1 x
Solving for x :
10.8x = 1
x = 1/10.8
x = 0.09259
x = 0.093 (rounding to the next hundredth) walls per gallon of paint
five sixths of a number equals 200. What is the number?
Answer: 240
Step-by-step explanation:
5/6x=200
(6/5)5/6x=200(6/5)
1x=40(6/1)
x=40(6)
x=240
Which of the following geometric series converges?
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is
[tex]S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}[/tex]
Multiply both sides by r :
[tex]rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n[/tex]
Subtract the latter sum from the first, which eliminates all but the first and last terms:
[tex]S_n-rS_n=a-ar^n[/tex]
Solve for [tex]S_n[/tex]:
[tex](1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}[/tex]
Then as gets arbitrarily large, the term [tex]r^n[/tex] will converge to 0, leaving us with
[tex]S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}[/tex]
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
is the square root of 34 rational or irrational
Answer:
irrational
Step-by-step explanation:
If a square root is not a perfect square, then it is considered an irrational number.
The square root of the number 34 is not a rational number
How to determine the type of the numberFrom the question, we have the following parameters that can be used in our computation:
The square root of the number 34
When evaluated, we have
The square root of the number 34 = √34
So, we have
The square root of the number 34 = 5.83.....
The above number cannot be represented by the quotient of 2 integers
Using the above as a guide, we have the following:
We can conclude that the number is an irrational number
Read more about rational number at
brainly.com/question/22221295
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For the following right triangle, find the side length x, Round your answer to the nearest hundredth.
Answer:
x ≈ 15.59
Step-by-step explanation:
We need to use the Pythagorean Theorem to solve for x. The equation for that is a^2 + b^2 = c^2. Side a is 9. Side b is x. Side c is 18 and 18 is also the hypotenuse. Let's solve for x(side b):
a^2 + b^2 = c^2
9^2 + x^2 = 18^2
81 + x^2 = 324
Subtract 81 from both sides to get x^2 alone on one side.
x^2 = 243
Square root both sides to isolate x.
x = 9sqrt3)
x ≈ 15.59
(SAT Prep) Find the value of x.
Answer: 40 degrees
Step-by-step explanation:
Since the rectangle is 90 degrees and we know that the line is 180 degrees if u add 90 and 50 it becomes 140. Now u subtract from 180 to get 40 hope that helps and is a correct answer :)
The coefficients of the first three terms in the expansion of (x – y) 4 are PLESE HELP! a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5
Answer:
the answer is C
Step-by-step explanation
I am guessing you mean (x-y)^4 and this expanded is [tex]x^4+4x^3y+6x^2y^2+4xy^3+y^4\\[/tex] and the first three coefficients are 1,4,6
The required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.
Given that,
To determine the coefficients of the first three terms in the expansion of (x – y)⁴.
The coefficient is defined as the number present former to any variable is called a coefficient.
Here,
[tex]\left(x-y\right)^4=\quad x^4-4x^3y+6x^2y^2-4xy^3+y^4[/tex]
First three coefficients from the above equation,
= 1, -4 and 6
Thus, the required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.
Learn more about coefficients here:
https://brainly.com/question/27481600
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Please help and explain!! I really don't get this
How can you decompose the composite figure to determine its area?
Answer:Área y perímetro de figuras compuestas
por Luz | Dic 5, 2014 | Geometría, Matematicas | 39 Comentarios
Obtener el área o perímetro es de las habilidades más fáciles y básicas en geometría. Sin embargo, al momento de combinar varias figuras planas se forma figuras compuestas, que pueden incluir: cuadrados, círculos, triángulos, rectángulos, trapecio, etc.
Answer: D
Step-by-step explanation:
There’s a trapezoid a rectangle and two squares at the bottom
1. What is the value of x? Show all of your work.
Answer:
9 cm
Step-by-step explanation:
Pythagorean's Theorem: a^2+b^2=c^2
x^2+6^2=117 (the square root of 117, squared)
X^2+36=117
x^2=117-36
x^2=81
x=9
Answer:
x = 9 cm
Step-by-step explanation:
Use the Pythagorean Theorem to find the length of the missing side.
a² + b² = c²
a² + (6)² = (√117)²
a² + 36 = 117
a² = 81
a = √81
a = 9
X is equal to 9 cm.
Hope this helps.
lands on a field. The height of the ball, in meters, is modeled by the function shown in the graph. What's the average rate of change of the height of the ball from the point when John throws it to its maximum height? Question 10 options: A) 2 meters per second B) –1∕2 meters per second C) –2 meters per second D) 1∕2 meters per second
Answer:
A) 2 m/s
Step-by-step explanation:
The ball increases from its thrown height of 3 meters to its maximum height of 7 meters in 2 seconds. That's an average rate of increase of ...
(4 m)/(2 s) = 2 m/s
The average rate of change of height is 2 meters per second.
Answer: 2m/sec
Step-by-step explanation: From the graph we see that the ball went from 3 meters to 7 meters, a difference of 4m. It took 2 seconds to reach that height.
The average is found by dividing 4m/2sec
The result is 4m/sec
Please I need help!
Write the equation of the line that passes through the points (7, -4) and ( 1, 3), first in point-slope form, and then in
slope intercept form
The slope of the line is
When the point (7, -4) is used, the point-stope form of the line is
The slope intercept form of the line is
Answer:
1)
[tex]\text{ Slope = -3}[/tex]
2)
[tex]y+4=-\frac{7}{8}(x-7)[/tex]
3)
[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]
Step-by-step explanation:
We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.
1)
First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:
[tex]m=\frac{3-(-4)}{-1-7}[/tex]
Subtract. So, our slope is:
[tex]m=\frac{7}{-8}=-7/8[/tex]
2)
Now, let's use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:
[tex]y-(-4)=-\frac{7}{8}(x-7)[/tex]
Simplify. So, our point-slope equation is:
[tex]y+4=-\frac{7}{8}(x-7)[/tex]
3)
Finally, we want to convert this into slope-intercept form. So, let's solve for our y.
On the right, distribute:
[tex]y+4=-\frac{7}{8}x+\frac{49}{8}[/tex]
Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:
[tex]y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}[/tex]
Subtract. So, our slope-intercept equation is:
[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]
And we're done!
Answer: Shown Below
Step-by-step explanation:
1. -7/8
2. y+4= (-7/8)(x-7)
3. y=(-7/8)x+ (17/8)
Just did it
plz help me plz if u get it correct i will mark brainlist if i can
f(x) = 3x + 21; solve for f(3) and f(7)
Answer:
Step-by-step explanation:
Given that f(x) = 3x + 21
Plug in 3 for x
F(3)= 3(3) +21
F(3) = 9+21
f(3) = 30
Plug in 7 for x
F(7)= 3(7) +21
F(7) = 21+21
f(7) = 42