Answer:
-26
Step-by-step explanation:
-13 + 25 - 36 + -2
12 - 36 - 2
-24 - 2
-26
Answer:
-13 + 25 - 36 + -2
12 - 36 + -2
12 - 38
-26
What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 1 and one-fourth + one-half A number line going from negative 3 to 0 in increments of one-fourth. Negative 1 and three-fourths Negative 1 and one-half Negative three-fourths Negative one-half
Answer:
C. Negative three-fourths
Step-by-step explanation:
Given two fractions -1 1/4 and 1/2, the sum of the fractions is expressed as shown below:
-1 1/4 + 1/2
Converting the improper fraction -1 1/4 to mixed fraction will give -5/4. The expression will now become:
-5/4 + 1/2
Taking the LCM of the expression
= (-5+2)/4
= -3/4
Hence the sum of fraction Negative 1 and one-fourth and one-half is negative three-fourths
Answer:
-3/4
Step-by-step explanation:
-1 1/4 +1/2
-5/4 + 2/4
-3/4
Write the slope-intercept form (y=mx + b) of the blue line. Explain or show your work. Write a one sentence summary comparing the blue line to the black line. Hint: Find the y-intercept. Then count up and over (y/x) to the next point on the line to determine the slope.
Answer:
y=1/2x+2(2 is the y-intercept)
The blue line and black line have the same y-intercept, but the black line has a slope 1/6 greater than the blue line.
Hope it helps <3
Answer:
[tex]\boxed{y=\frac{1}{2} x+2}[/tex]
Step-by-step explanation:
Let's take any of the coordinates of blue line to find the slope
The coordinates are (4,4) and (0,2)
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{2-4}{0-4}[/tex]
Slope = [tex]\frac{-2}{-4}[/tex]
Slope = m = 1/2
Y-intercept = b = 2 (Because here x= 0)
So, the slope intercept equation becomes:
=> [tex]y = mx+b[/tex]
=> [tex]y = \frac{1}{2} x+2[/tex]
Joe takes out a 30-year fixed rate amortized loan for 220,000, and makes equal size payments at the end of each month. The rate is quoted as being an annual nominal interest rate of 5.25% compounded monthly and Joe also has to pay closing fees equal to 5% of the value of the loan. Based on this information, find the actual interest rate realized by Joe (i.E. Taking into account the loan given to Joe and the 5% that he pays for the closing fees). Give the value as an annual nominal rate compounded monthly, and round your percent answer to two decimal places.
Answer:
Annual Interest Rate, r = 5.69%
Step-by-step explanation:
Amount of loan taken = 220,000
Closing fee is 5% of the loan value
Closing fee = 5% of 222,000 = 0.05 * 220000 = 11000
Therefore, Principal, P = Loan amount + closing fee
P = 220000 + 11000
P = 231, 000
Annual rate, r= 5.25% = 0.0525
Monthly rate, i = 0.0525/12 = 0.004375
Time, n = 30 years = 30*12 = 360 months
The monthly payment will be calculated by:
[tex]PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\PMT = \frac{231000 * 0.004375}{1 - (1 + 0.004375)^{-360}} \\\\PMT = 1275.59[/tex]
Assuming payments are made based on 220,000, let us calculate the monthly interest rate.
[tex]PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\1275.59 = \frac{220000 * i}{1 - (1 + i)^{-360}} \\\\i = 0.00474229[/tex]
Annual rate, r = 12 * 0.0047429
r = 0.0569 = 5.69%
Which graph represents the scenario? PLEASE HELP VERY EASY
Answer:
The answer is option B.
The second graph.
Hope this helps you
PLZZZZZZZZZZ HLPPPPPPPPP MEEEEEEEEEE what is the factorization of the polynomial graphed below? assume it has no constant factor. write each factor as a polynomial in descending order.
Answer:
(x-5)(x-8)(x+2)=0
Step-by-step explanation:
first look at the x intercept to find the factor
x:-2,5,8
x=-2 then x+2=0
x=5 then x-5=0
x=8 then x-8=0
(x-5)(x-8)(x+2)=0
check for y in the polynomial when x=0
x^3-11x^2+14x+80
x=0 y=80 ( correct according to the graph
2/3a= -15 - a Please Explain
Hi there! :)
Answer:
a = -9
Step-by-step explanation:
Starting with:
2/3a = -15 - a
Solve for 'a' by isolating the variable:
2/3a = -15 - a
On the right-hand side of the equal sign, make 'a' have a common denominator of 3 to make the simplifying easier:
2/3a = -15 - 3/3a
Add 3a/3 to both sides:
5/3a = -15
Divide both sides by 5/3, or multiply by its reciprocal (3/5)
5/3a(3/5) = -15(3/5)
a = -9
plz help forgot how to do this
Answer:
the true statements are A. The range for this function is the set (-5) D. The domain for this function is the set(-5)
Hey everyone, can you please help me with this question? THANKS!
Answer:
6 granite, 3 marble, 14 sandstone, 1 slate
ratio of sandstone to marble
how many sandstone does she have .....14
how many marble does she have......3
so the ratio would be 14:3
Answer:
C. 14:3
Step-by-step explanation:
Dana has 14 pieces of sandstone.
Dana has 3 pieces of marble.
The ratio of pieces of sandstone to pieces of marble is 14:3.
The ratio cannot be simplified further.
If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude of 6,
what is the relationship between the intensities of the two earthquakes?
Answer:
sister and brother
State whether the data described below are discrete or continuous, and explain why The durations of movies in minutes A Choose the correct answer below OA. The data are continuous because the data can take on any value in an interval. St O B. The data are continuous because the data can only take on specific values OC. The data are discrete because the data can take on any value in an interval. O D. The data are discrete because the data can only take on specific values. G D
Answer:
D. The data are discrete because the data can only take on specific values.
Step-by-step explanation:
Continuous variables are variables that can take on any value in an interval. Examples of continuous variables are length, time, etc.
Discrete variables on the other hand are variables that can only take on specific values.
The durations of movies in minutes can only take on integer values from 0 to 60. Therefore, it is a discrete data.
The correct option is D.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
D.
Step-by-step explanation:
As long as the function's largest power is two, it is a quadratic function.
a. (3x - 2)(4x + 7)
= 12x^2 - 8x + 21x - 14
The largest power is 2. This is a quadratic function.
b. 7x^2 + 8x
The largest power is 2. Quadratic function.
c. (2x - 1)^2
= 4x^2 - 4x + 1
Largest power is 2. Quadratic function.
d. 8x^4- 3x^3 + 5x^2
Largest power is 4. Non-quadratic function.
Hope this helps!
What is the Greatest common divisor of 378 and 420?
Answer:
42
Step-by-step explanation:
When calculating the greatest common divisor, you must look for the smallest divisors that can divide the no. s given simultaneously.
So in this case the smallest divisor will be 2.
378 =189. 420 =210
2. 2
The next divisor that 189 and 210 can both be divided with is 3
189 =63. 210 =70
3. 3
The third smallest divisor that can 63 and 70 can be divided with is 7
63 =9. 70 =10
7. 7
9 and 10 have no common divisors that can divide them fully without leaving a remainder
So to get the greatest common divisor, multiply all the divisors you have used
In this case we've used 2,3,7
2x3x7= 42
Factorize: 9(2a – b)^2 – 4(2a – b)
Answer:
(2 a - b) (18 a - 9 b - 4)
Step-by-step explanation:
Factor the following:
9 (2 a - b)^2 - 4 (2 a - b)
Factor 2 a - b out of 9 (2 a - b)^2 - 4 (2 a - b):
(2 a - b) (9 (2 a - b) - 4)
9 (2 a - b) = 18 a - 9 b:
Answer: (2 a - b) (18 a - 9 b - 4)
root( x-1 ) = 2 - root (x+3)
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]\sqrt{x-1} =2-\sqrt{x+3}[/tex]
Square both sides.
[tex]\left(\sqrt{x-1}\right)^2=\left(2-\sqrt{x+3}\right)^2[/tex]
[tex]x-1=x+7-4\sqrt{x+3}[/tex]
Subtract x on both sides.
[tex]x-1-x=x+7-4\sqrt{x+3}-x[/tex]
[tex]-1=-4\sqrt{x+3}+7[/tex]
Subtract 7 on both sides.
[tex]-1-7=-4\sqrt{x+3}+7-7[/tex]
[tex]-8=-4\sqrt{x+3}[/tex]
Square both sides.
[tex]\left(-8\right)^2=\left(-4\sqrt{x+3}\right)^2[/tex]
[tex]64=16x+48[/tex]
Subtract 48 on both sides.
[tex]64-48=16x+48-48[/tex]
[tex]16=16x[/tex]
Divide both sides by 16.
[tex]\frac{16}{16} =\frac{16x}{16}[/tex]
[tex]1=x[/tex]
Switch sides.
[tex]x=1[/tex]
I’ll Give Brainlynest
Answer:
The answer is A.
Step-by-step explanation:
I hope this helps!
Find the equation of the line passing
through the points (3, 3) and (4, 5).
y = [? ]x + [
If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in the feet, of the park?
Answer:
The length is 600 ft
Step-by-step explanation:
We can use the Pythagorean theorem since we know the diagonal which is the hypotenuse and the width
a^2 + b^2 = c^2
450 ^2 + b^2 = 750^2
b^2 = 750^2 - 450^2
b^2 =562500-202500
b^2 =360000
Taking the square root of each side
sqrt(b^2) = sqrt(360000)
b =600
The population of Oregon is about 4,000,000 what is the order of magnitude of this number? A) 6 B) 4 C) 3 D) 7
Answer:
A
Step-by-step explanation:
Here, we are tasked with finding the order of magnitude.
What we are basically asked here is to write the number in powers of ten.
Thus
4,000,000 = 4 * 10^6
We can see that 10 is raised to the power of six here and thus we can say that the order of magnitude here is simply 6
Hi everyone please help me with two questions,THX...this is for 6th grade
Answer:
A. 12 for every 7
Step-by-step explanation:
There are 12 peas in her bowl.
There are 7 peas in her hair.
The ratio of peas in her bowl to peas in her hair is 12 for every 7.
A central angle of a circle intercepts an arc of length 18 centimeters. The radius of the circle is 9 centimeters. What is the measure of the central angle in radians?
Answer:
.44444444
Step-by-step explanation:
πr²=full circumference
18/π(9)²=x/2π
What conclusion can you make from the information below?
Three people (Jack, Karen, and Louis) drive three different types of cars
(Ford, Chevrolet, Honda).
• Jack does not drive a Chevrolet.
• Karen does not drive a Chevrolet,
A. Louis drives a Chevrolet
B. Jack drives a Honda
C. Karen does not drive a Ford.
D. Louis does not drive a Chedly let.
M
Answer:
A.louis drive a chevolet
Step-by-step explanation:
from the question three different people drive different cars . since two out of the three people has been excluded from driving a particular car i.e the third person is the one driving Chevrolet
Calculate the equation of the line through the points (1, 1), (4,3), (10, 7) and (40, 27).
Answer:
y = 2/3x + 1/3
Answer:
y = 2/3x + 1/3
Step-by-step explanation:
Which points are coplanar?
Answer: ABFE or ABJCDI
Step-by-step explanation: Any points that are in the same plane or face of a 3D figure
One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is the sum of the two integers?
Answer:
29
Step-by-step explanation:
Let the smaller integer be x.
The other integer is 1 greater than 3 times x, or 3x + 1.
The product is 154.
x(3x + 1) = 154
3x^2 + x - 154 = 0
157 = 2 * 7 * 11
14 * 11 = 154
22 * 7 = 154
(3x + 22)(x - 7) = 0
3x + 22 = 0 or x - 7 = 0
3x = -22 or x = 7
x = -22/3 or x = 7
-22/3 is not a positive integer, so we discard that solution.
The smaller integer is 7.
3x + 1 = 3(7) + 1 = 22
The greater integer is 22.
The sum of the integers is 7 + 22 = 29
Answer: 29
Step-by-step explanation:
in the given figure angle 1 is equal to angle 2 then the measurements of angle 3 and angle 4 are
Answer:
(3) = 119
(4) = 119
Step-by-step explanation:
Given isosceles triangle with vertex angle 58.
Need exterior angles of base angles 1 & 2.
Solution:
Vertex angle = 58.
Base angle = x
Sum of triangles = 180 =>
x + x + 58 = 180
Solve for x
x = (180-58)/2 = 122/2 = 61
Exterior angles are supplementary to interior (base) angles, so
(3) = 180-(1) = 180 - 61 = 119
(4) = 180-(2) = 180 - 61 = 119
* note: supplementary means sum of two angles = 180.
The measurements of angle 3 and angle 4 are 119degrees and 119degrees respectively.
The sum of the interior angle of the triangle is 180degrees.
According to the diagram shown:
m<1 + m<2 + 58 = 180
Since <1 = <2, hencce:
m<1 + m<1 + 58 = 180
2m<1 = 180 - 58
2m<1 = 122
m<1 = 122/2
m<1 = 61 degrees
Since <1 = <2, thereofore m<3 = m<4
Get the measure of m<3
m<1 + m<3 = 180 (supplementary angles)
61 + m<3 = 180
m<3 = 180 - 61
m<3 = 119 degrees
Recall that m<3 = m<4, hence m<4 = 119degrees
The measurements of angle 3 and angle 4 are 119degrees and 119degrees respectively.
Learn more here: https://brainly.com/question/21680544
Helppp!!!! please!!!
Answer:
I. (x - 6)² + (y + 7)² = 121
Step-by-step explanation:
Given a circle with coordinates of the center as (6, -7), and with a diameter of 22, equation of the circle is given below using the standard equation formula of a circle:
Formula => (x - a)² + (y - b)² = r²
Where,
a = 6
b = -7
r = radius of circle = ½ of diameter = ½ of 22 = 11
Thus, plug in the above values into the standard equation formula:
(x - 6)² + (y - (-7))² = 11²
(x - 6)² + (y + 7)² = 121
Our answer, which is the equation of the circle is I. (x - 6)² + (y + 7)² = 121
A chef planning for a large banquet thinks that 2 out of every 5 dinner guesis will order his soup appetizer he excepts 800 guests at the banquet
Answer:
320 people
Step-by-step explanation:
[tex]\frac{2 people}{5 people}[/tex]=[tex]\frac{x}{800 people}[/tex]
solve for x by using cross multiplication
-multiply 2 by 800 to get 1,600
-divide 1,600 by 5 people to get 320
your answer is 320 people
Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 2.5 in, x = 5 in, y = 5 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth.
Answer:
The cup holds 26.2 in3 more ice cream than the cone.
Step-by-step explanation:
1. Let's find the volume of ice cream that the cone holds, this way:
Volume = π * r² * h/3
Replacing with the real values, we have:
Volume = 3.14 * 2.5² * 5/3
Volume =32.7 inches³
2. Let's find the volume of ice cream that the cup holds, this way:
Volume = π * r² * h
Diameter = 5 inches ⇒ Radius = 2.5 inches
Replacing with the real values, we have:
Volume = 3.14 * 2.5² * 3
Volume =58.9 inches³
3. Let's find the difference, this way:
Volume of the cup - volume of the cone = 58.9 - 32.7 = 26.2 inches³
The cup holds 26.2 in³ more ice cream than the cone.
Question 20 PLEASE HELP Tell whether the equation: -x+4y=-5 represents a direct variation
Answer:
no, it does not
Step-by-step explanation:
Hello
-x+4y=-5
so
[tex]4y = x-5\\<=> y=\dfrac{1}{4}x-\dfrac{5}{4}[/tex]
we say that y varies directly with x if y=kx
in this example we have an additional constant, the graph is not a line through the origin so this is not a direct variation
hope this helps
What is the square root of 16x^16
Answer:
4x⁸Step-by-step explanation:
[tex]\sqrt{16x^{16}}=\sqrt{16}\cdot\sqrt{x^{16}}=4\cdot x^8[/tex]
The square root of 16x¹⁶ is 4x⁸
What is expression?
Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers
[tex]\sqrt{16x^1^6}[/tex]
Rewrite [tex]16x^1^6[/tex] as [tex](4x^8)^2[/tex]
[tex]\sqrt{ (4x^8)^2}[/tex]
Pull terms out from under the radical, assuming positive real numbers
[tex]4x^8[/tex]
Hence, the square root of 16x¹⁶ = 4x⁸
Learn more about Expressions here:
https://brainly.com/question/13947055
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