Answer:
51
Step-by-step explanation:
Process exponents and division before performing addition, that is
49 + 64 ÷ 32 ← perform division
= 49 + 2 ← finally addition
= 51
Please help !! Asap Study island explanation please
What is the inverse of the statement below?
[if the perimeter of a square is 20cm, then its area is 25cm2.]
A) if the perimeter of a square is not 20cm, then its area is not 25cm2
B) if the perimeter of a square is not 20cm, then its area is 25cm2.
C) if the area of a square is not 25cm2, then its perimeter is not 20cm.
D) if the area of a square is 25cm2, then its perimeter is 20cm.
Answer:
A
Step-by-step explanation:
The inverse of a statement is the negation of both the hypothesis and conclusion. This means that both parts of the statement gets a not.
If the perimeter of a square is NOT 20cm, then its area is NOT 25cm2.
Marie is making a recipe that calls for 1 1/4 cups of oil. How many fluid ounces of oil should she use?
A. 5 fl oz
B. 20 fl oz
C. 9 fl oz
D. 10 fl oz
Answer:
D
Step-by-step explanation:
1 cup = 8 fluid ounces.
1.25 cups = 8 fluid ounces + 1/4 of 8.
1/4 of 8 = 2
8 + 2 = 10.
10 fluid ounces should be used.
Answer:
d
Step-by-step explanation:
i had the question
A circle has a circumference of 7,850 units. What is the radius of the circle
Answer: Radius = 1,250
Step-by-step explanation: The circumference of a circle equals the 2 x radius x π.
The formula to solve the radius is 2r x 3.14 = 7,850
Divide both sides by 3.14 = 2r = 2,500
Divide both sides by 2 = r = 1,250.
The radius = 1,250
Answer: 1,250 units
Step-by-step explanation:
Katelyn bought 3 packages of ground beef. The packages weighed 2.65 lb, 1.85 lb, and 2.46 lb. She divided the ground beef into 4 packages, each the same weight. How many pounds of around beef were in each package?
Answer:
1.74 pounds
Step-by-step explanation:
2.65 + 1.85 + 2.46 = 6.96/4 = 1.74lbs.
Answer:
1.74 lb/package
Step-by-step explanation:
Add up the weights of the 3 packages of ground beef and then divide that sum by 4 (packages):
2.65 lb + 1.85 lb + 2.46 lb 6.96 lb
-------------------------------------- = ------------------------ = 1.74 lb/package
4 packages 4 packages
Can someone please help me with this thank you!!
Given: m
EL=(2x)°, m
LG=(3x)°, m
GF=(4x−8)°, m
FE=(x−12)°
Find: m∠LTE
Answer:
1. add up all of the arcs.
2x+3x+4x-8+x-12
2. all of the arcs equal 360
2x+3x+4x-8+x-12=360
3. Find x
10x-20=360, x=38
4. angle LTE is equal to half of the sum of the intercepted arcs.
.5(arc LE +GF)
5. plug in LE +GF with x
.5(76+144)
LTE=110
Applying the angles of intersecting chords theorem, m∠LTE = 110°.
What is the Angles of Intersecting Chords Theorem?When two chords intersect inside a circle, according to the angles of intersecting chords theorem, the vertical angle formed equals the half the sum of the measures of the intercepted arcs.
Given the following:
EL=(2x)°LG=(3x)°GF=(4x−8)°FE=(x−12)°A full circle = 360°
Therefore we would have:
2x + 3x + 4x - 8 + x - 12 = 360
Add like terms
10x - 20 = 360
10x = 360 + 20
10x = 380
x = 38
Based on the angles of intersecting chords theorem, we have:
m∠LTE = 1/2(EL + GF)
Substitute
m∠LTE = 1/2(2x + 4x - 8)
m∠LTE = 1/2(6x - 8)
Plug in the value of x
m∠LTE = 1/2(6(38) - 8)
m∠LTE = 1/2(220)
m∠LTE = 110°
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Need anyone’s help with this APEX question! Much appreciated!
The correct option is (D) x-7 + 2
Step-by-step explanation:let the quantity be x
Quantity minus 7 can be written as
x-7
Now
2 more means adding 2
So the final expression can be written as
(x-7) + 2
Answer:
The correct answer option is D. (x - 7) + 2.
Step-by-step explanation:
We are to determine whether which of the given options best describe the English expression:
'two more than the quantity of a number minus seven'
We can break this expression into smaller chunks to make it easier to translate.
1. two more than ---> +2
2. the quantity of a number ---> suppose the number to be 'x'
3. number minus 7 ---> (x - 7)
Combining these, we get (x - 7) + 2 so the correct answer option is D.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The graph of a linear equation passes through three of these points: (0, 5), (2, 2), (3, 1), and (4, -1). The point that the graph does not pass through is
Answer:
(3,1)
Step-by-step explanation:
Calculate the rise-over-run ratio to find the slope between the points.
r/r between 0,5 and 2,2 was -3/2
r/r between 2,2 and 4,-1 was -3/2
r/r between 0,5 and 4,-1 was -6/4 = -3/2
r/r between 0,5 and 3,1 was -4/3
r/r between 2,2 and 3,1 was -1/1
as you can see the r/r for the points involving 3,1 was inconsistent with the rest, therefore it is not part of the linear system.
The point that the graph does not pass through is (3 ,1)
What is an equation?
An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
What is a linear equation?An equation in which the slope is constant is called a linear equation.
What is slope?Slope is the measure of the line's inclination towards horizontal.Slope of a line joining points (a,b) and (c,d) can be found with the formula: [tex]\frac{d - b}{b-a}[/tex] How to find point through which the graph does not pass ?The graph is linear. So the slope should be constant.Slope of the graph between points (0, 5), (2, 2) = [tex]\frac{2-5}{2-0} = -\frac{3}{2}[/tex]
Slope of the graph between points (2, 2) , (4, -1) = [tex]\frac{-1-2}{4-2} = - \frac{3}{2}[/tex]
Slope of the graph between points (0, 5), (4, -1) = [tex]\frac{-1-5}{4-0} = -\frac{-6}{4} = - \frac{3}{2}[/tex]
Slope of the graph between points (3, 1) , (0, 5) = [tex]\frac{5-1}{0-3} = - \frac{4}{3}[/tex]
Slope of the graph between points (3, 1) , (2, 2) = - 1
Slope of the graph between points (3, 1) , (4, -1) = -2
We can see that the slope is constant for the points (0, 5), (2, 2), (4, -1), and inconsistent for the point (3 , 1) with every other points.So, we can say the graph is not passing through the point (3 , 1).
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What Is The Missing Angle Measure of This Irregular Quadrilateral
Answer:
the sum of the angles in a quadrilateral is 360 degrees
Step-by-step explanation:
360 - (60 + 150 + 70) = 360 - 280 = 80 degrees
A swimming is conducting a vote to choose a mascot there are 164 club members who want a dolphin for their mascot these members represent 82% of the total number of club members how many club members are there?
For 20 POINTS
Answer:200 club members
Step-by-step explanation:
Final answer:
To find the total club members when 164 members represent 82%, divide 164 by 0.82 to get 200 members in total.
Explanation:
To determine the total number of club members based on the percentage that prefers a dolphin mascot, we can set up a proportion. The problem tells us that 164 members represent 82% of the total number of club members. Using this information, we can set up the equation:
164 = 0.82 × Total club members
To find the total number of club members, we divide the number of members who want a dolphin by the percentage they represent as a decimal:
Total club members = 164 ÷ 0.82
By performing the division, we get:
Total club members = 200
Therefore, the total number of club members is 200.
how do i find the area of this shape and you tell me step by step it says find the area of the shaded region
First, you need to find out the are of the whole rectangle, which as you probably know, you just need to multiply base by height.
Then, you need to substract the are of the two little squares, which luckily are both the same size. To find out the are of a square you multiply a side twice.
Therefore,
Whole rectangle area:
(32+8) * (8+8) = 40 * 16 = 640 sq. ft.
Two small squares:
2 * (8 * 8) = 2 * 64 = 128 sq. ft.
We substract:
640 - 128 = 512 sq. ft.
Answer:
512
Step-by-step explanation:
i fond the area of the whole big rectangle , so to do this i did 32+8 because i needed to find length. then i found the width, which was 8+8, 16. to find area , i need to multiply with times height so i did 40 x 16. this gets me to 640, but now i need to take out the two smaller cubes since i included them when i found the are of the rectangle. since the sides of both squares are 8 by 8, we can do 8 x 8 x 2 to find the area of both of them. now we taake 128(the product of 8 x 8 x 2) and subtract it from the big rectangle with the area of 640. 640-128 is 512.
assume f(x)= -2x+8 and g(x)=3x what is the value of (gof)(3)
a. x+8
b. 23
c. -10
d. 6
ANSWER
d. 6
EXPLANATION
The given functions are
[tex]f(x) = - 2x + 8[/tex]
and
[tex]g(x) = 3x[/tex]
We find
[tex](g \circ f)(x) = g(f(x))[/tex]
[tex](g \circ f)(x) = g( - 2x + 8)[/tex]
[tex](g \circ f)(x) = 3( - 2x + 8)[/tex]
[tex](g \circ f)(x) = - 6x + 24[/tex]
We now substitute x=3
[tex](g \circ f)(3) = - 6(3) + 24[/tex]
This gives us
[tex](g \circ f)(x) = - 18 + 24[/tex]
[tex](g \circ f)(3) = 6[/tex]
The correct choice is D.
Answer:
Step-by-step explanation:
6
if cos^2(6x)-sin^2(6x)=cos(B)
then B=?
Answer:
[tex]B=12x[/tex]
Step-by-step explanation:
Given: [tex]cos^2(6x)-sin^2(6x)=cos(B)[/tex]
Let's simplify the left part of the equation:
[tex]cos(12x)=cos(B)[/tex]
Solve for B:
[tex]B=12x[/tex]
Final answer:
To find the value of B for the given equation, we employ the cosine double angle identity, which leads us to determine that B equals 12x or 12x ± 2kπ, considering the periodic nature of the cosine function.
Explanation:
The question asks us to find the value of B given that cos2(6x) - sin2(6x) = cos(B). This expression can be rewritten using a trigonometric identity, the cosine difference identity, which states that cos(A) - cos(B) = -2sin((A+B)/2)sin((A-B)/2). However, in our case, we use the cosine double angle identity, which states that cos(2θ) = cos2(θ) - sin2(θ). Applying this identity to the given expression gives us cos(12x) = cos(B). Therefore, B = 12x or B = 12x ± 2kπ, where k is an integer, because the cosine function is periodic with a period of 2π.
How many solutions does the system have? \begin{cases} & y = 2x-1 \\\\ & y = 2x+6 \end{cases} ⎩ ⎪ ⎨ ⎪ ⎧ y=2x−1 y=2x+6
Answer:
A) y=2x−1
B) y=2x+6
The equations reduce to:
-1 = 6
Which is NOT true so those equations have NO solution.
Step-by-step explanation:
write the expression without radicals, using only positive exponents
Answer:
[tex]\sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}[/tex]
Step-by-step explanation:
∵∛x = (x)^1/3
∴ [tex]\sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}[/tex]
So you can replace the radicals by fractional exponents
Answer:
The required expression is: [tex]\sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}[/tex].
Step-by-step explanation:
Consider the provided expression.
[tex]\sqrt[3]{a^2+b^2}[/tex]
Now use the property: [tex]\sqrt[n]{x+y}=(x+y)^{\frac{1}{n}}[/tex]
By using the above property the provided expression can be written as:
[tex]\sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}[/tex]
Therefore, the required expression is: [tex]\sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}[/tex].
Solve for z:
-4.75 = z/2
z = ?
Answer:
-9.5
Step-by-step explanation:
To solve for z, use inverse operations by multiplying both sides by 2.
-4.75 = z/2
-9.5 = z
To solve the equation -4.75 = z/2, multiply both sides by 2 to isolate z, which gives you the solution z = -9.5.
To solve for z in the equation -4.75 = z/2, you need to isolate z on one side of the equation. This can be achieved by multiplying both sides of the equation by 2 (the reciprocal of 1/2, which is the current coefficient of z) to cancel out the division.
Here's the calculation step by step:
Multiply both sides by 2 to get: 2 × -4.75 = (z/2) × 2.Simplify the equation to get: -9.5 = z.Therefore, the solution to the equation is z = -9.5.
help me please asap!
Answer: [tex]\bold{\dfrac{3}{2}}[/tex]
Step-by-step explanation:
[tex]\dfrac{12z^2}{2y^2}\\\\\\y = -2\quad z=-1\\\dfrac{12(-1)^2}{2(-2)^2}=\dfrac{12(1)}{2(4)}=\dfrac{12}{8}\\\\\\\dfrac{12}{8}\div \dfrac{4}{4}=\boxed{\dfrac{3}{2}}[/tex]
A new vigo the vampire hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 pages. Who reads faster, skyler or Ramon
Answer: Ramon
Step-by-step explanation:
because if you think about it ust of tooken 4 fo skyler to at least read 100 pages.
Ramon was faster.
What is unit rate?A unit rate means a rate for one of something.
Given that, A hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours.
To find who is faster, we will find unit rate of each,
Skyler read 145 pages in 5 hours,
Therefore,
In 1 hour, he will read = 145 / 5 = 29
Therefore, in 1 hour he read 29 pages.
Ramon read 124 pages in 4 hours,
In 1 hour, he will read = 124 / 4 = 31
Therefore, in 1 hour he read 31 pages.
Since, Skyler read less pages than Ramon in one hour.
Hence, Ramon was faster.
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Which of the below statements is false?
Answer:
A and C
Step-by-step explanation:
The area formulas for the shapes area as follows:
Triangle, Kite, Rhombus A = 1/2 bhTrapezoid A = 1/2(b1 + b2)hParallelogram, rectangle and square A = bhKnowing this, you can see that rhombus and trapezoids have different formulas then other quadrilaterals. This means A and C can be considered false.
The length of the number line is one unit. What is the distance from 0 to point A on the number line?
A) 1/6 units
B) 2/6 units
C) 4/6 units
D) 2 units
Answer:
2/6 units
Step-by-step explanation:
which object has a weight of approximately 1 ounce?
A slice of bread weighs approximately 1 ounce.
Can someone help and show the work please
Answer:
A = 75 in²Step-by-step explanation:
We have the rectangle and the right triangle.
The formula of an area of a rectangle:
A = lw
l - length
w - width
We have l = 10 in and w = 5 in. Substitute:
A = (10)(5) = 50 in²
The formula of an area of a triangle:
A = 1/2 bh
b - base
h - height
We have b = 5 in and h = 5 in + 5 in = 10 in. Substitute:
A = 1/2(5)(10)=1/2(50)=25 in²
The area of figure:
A = 50 in² + 25 in² = 75 in²Y=(x+5) (x+4) in vertex form of parabola
Answer:
Step-by-step explanation:
The vertex form of an equation of a parabola y = ax² + bx + c:
[tex]y=a(x-h)^2+k[/tex]
(h, k) - verex
[tex]h=\dfrac{-b}{2a},\ k=f(h)[/tex]
We have:
[tex]y=(x+5)(x+4)[/tex] use FOIL (a + b)(c + d) = ac + ad + bc + bd
[tex]y=(x)(x)+(x)(4)+(5)(x)+(5)(4)=x^2+4x+5x+20=x^2+9x+20[/tex]
a = 1, b = 9, c = 20
[tex]h=\dfrac{-9}{2(1)}=\dfrac{-9}{2}=-\dfrac{9}{2}[/tex]
For k, put the value of h to the equation y = (x + 5)(x + 4):
[tex]k=\left(-\dfrac{9}{2}+5\right)\left(-\dfrac{9}{2}+4\right)\\\\k=\left(-\dfrac{9}{2}+\dfrac{10}{2}\right)\left(-\dfrac{9}{2}+\dfrac{8}{2}\right)\\\\k=\left(\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)=-\dfrac{1}{4}[/tex]
Finally:
[tex]y=1\bigg(x-\left(-\dfrac{9}{2}\right)\bigg)^2-\dfrac{1}{4}\\\\y=\left(x+\dfrac{9}{2}\right)^2-\dfrac{1}{4}[/tex]
The quadratic function y = (x + 5)(x + 4) in vertex form is y = (x + 9/2)^2 - 41/4, and its vertex is at (-9/2, -41/4).
Expand the given expression:
y = x^2 + 4x + 5x + 20
y = x^2 + 9x + 20
Factor out the coefficient of x^2 from the x^2 and x terms:
y = 1(x^2 + 9x) + 20
To complete the square, take half of the coefficient of x (which is 9) and square it. Add and subtract this value inside the parentheses:
y = 1(x^2 + 9x + (9/2)^2 - (9/2)^2) + 20
Factor the perfect square trinomial inside the parentheses:
y = 1((x + 9/2)^2 - (9/2)^2) + 20
Simplify the expression:
y = (x + 9/2)^2 - 81/4 + 20
Combine the constants:
y = (x + 9/2)^2 - 41/4
So, the quadratic function y = (x + 5)(x + 4) in vertex form is y = (x + 9/2)^2 - 41/4, and the vertex of the parabola is (-9/2, -41/4).
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Plz help!!!!!!!!!!!!!!
Answer: d) 4
Step-by-step explanation:
The x-intercept is when y = 0
[tex]y=\dfrac{x-4}{x^2-4}\\\\\\\text{Set y equal to zero:}\\0=\dfrac{x-4}{x^2-4}\\\\\\\text{Cross multiply:}\\0=x-4\\\\\\\text{Solve for x:}\\4=x[/tex]
The probability that the first color is violet and the second is orange, if the first is replaced is?
If the crayons are replaced after they are drawn, the probability of drawing any particular color is 1/7.Also the result of each draw is independent of any previous result. Therefore the solution to the first part of the question is found from:P(violet\ then\ orange)=\frac{1}{7}\times\frac{1}{7}=\frac{1}{49}
If the crayons are not replaced after they are drawn, the probability of drawing violet on the first pick is 1/7. Then there are only six crayons left, so the probability of drawing orange is 1/6. The solution to the second part of the question is found from:
P(violet\ then\ orange)=\frac{1}{7}\times\frac{1}{6}=\frac{1}{42}
Does this help
round 25.823 to the nearest hundreth
Answer:
25.82 please mark brainliest.
Step-by-step explanation:
Answer:
25.82
Step-by-step explanation:
Hundreths go two decimals to the left from the point. 25.823 is rounded to 25.820 or 25.82
x is 110% of 10, y% of 50 is 3.5
Step-by-step explanation:
Set up a proportion.
x/10=110/100
x=11
Set up a proportion.
3.5/50=y/100
y=7
when $82.00 is increased by 5%, what is the new amount?
Answer:
The new amount is $86.10
Step-by-step explanation:
First we find the increase
82*5%
82 *.05
4.1
Next we add the increase to the original amount
82+4.1
86.10
The new amount is $86.10
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ First, you need to find what 5% of 82 is.
82*5%=4.1
Now, you need to add 4.1 to 82:
82+4.1= $86.10 is the new amount.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ TROLLER (don't worry, I didn't troll you)
A parking lot is 20 yards wide and 30 yards long. If the college increases the length and width by the same amount to handle and increasing number of cars, then what polynomial represents the area of the new lot?
Answer:
x² + 50x + 600
Step-by-step explanation:
The length changes from 20 yards to 20 + x. The width changes from 30 to 30+x.
The area will be A = l*w = (20+x)(30+x).
Use the distributive property to find the polynomial simplified.
A = (20+x)(30+x) = 600 + 30x + 20x + x² = 600 + 50x + x²
Write the polynomial in descending order by writing the exponents first.
x² + 50x + 600
The polynomial representing the area of the new parking lot would be 600 + 50x + x^2 square yards, where x is the amount by which both the length and width are increased.
Explanation:The area of the initial parking lot can be computed using the formula for the area of a rectangle, which is length times width. In this case, the area would be 20 yards times 30 yards, or 600 square yards.
If we let x be the amount by which both the length and the width are increased, the new length becomes 30 + x yards, and the new width becomes 20 + x yards.
Therefore, the polynomial representing the area of the new parking lot would be (30+x)(20+x), which equals 600 + 50x + x^2 square yards.
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2x-y=4
3y-3x=6
How do I graph this
Step-by-step explanation:
Put y's on the one side and divided by what they have in the front so it would be
y=2x-4
and
y=x+2
and they y intercept for first one is -4
and slope is 2 which it goes up twice and goes right once because its positive
second one, y intercept is 2
and slope is 1 goes one up and one right because it is positive
Answer:
See the attached image
Step-by-step explanation:
You must graph the system of equations. To do so, find the intersection points of each line with the axes.
2x-y=4 intersection with the x axis. -----y=0
2x = 4
x = 2.
2x-y=4 intersection with the y axis. -----x=0
-y = 4
y = -4.
Now we have
3y-3x=6 intersection with the x axis. -----y=0
-3x = 6
x = -2
3y-3x=6 intersection with the y axis. -----x=0
3y = 6
y = 2.
Now you can graph both lines. The solution the system will be the intersection of both lines
The coordinates of PQR are P(1, 1), Q(2, 2), and R(3, 1). If PQR is rotated 90° about the origin, what are the vertices of P'Q'R'?
Answer:
(-1, 1), (-2, 2), and (-1, 3)
Step-by-step explanation:
The formula for rotation of a point (x,y) by an angle θ about the origin is
x' = xcosθ - ysinθ
y' = ycosθ + xsinθ
If θ = 90°, sinθ = 1 and cosθ = 0, and the formula becomes
x' = -y
y' = x
P: (1, 1) ⟶ (-1, 1)
Q:(2, 2) ⟶ (-2, 2)
R: (3, 1) ⟶ (-1, 3)
The vertices of P'Q'R' are (-1, 1), (-2, 2), and (-1, 3).
The Figure below shows the triangle before and after the rotation.