Answer:
Bagel
plain
Tuna Eggs Chicken salad Cream cheese butter
Poppy
Tuna Eggs Chicken salad Cream cheese butter
Wheat
Tuna Eggs Chicken salad Cream cheese butter
3b
There are 15 combinations because tuna, eggs, chicken salad, cream cheese, and butter = 5
there are 3 different types of bagels plain poppy and wheat. with this information you can tell that the 5 combinations x 3 bagel types equal 15 total
Given: ΔPSQ, PS = SQ Perimeter of ΔPSQ = 50 SQ – PQ = 1 Find: Area of ΔPSQ
Answer:
120 units²
Step-by-step explanation:
Perimeter = PS + SQ + PQ
50 = SQ + SQ + (SQ -1)
51 = 3SQ
17 = SQ
17 -1 = 16 = PQ
The midpoint of the base is one leg of the right triangle whose other leg is the height of this isosceles triangle. That height is ...
h = √(17² -(16/2)²) = √225 = 15
Then the area is ...
A = (1/2)bh = (1/2)(16)(15) = 120 . . . . . square units
Which graph matches y=x?
Answer:
see below
Step-by-step explanation:
Of your remaining answer choices, the only one that shows a reflection (not a translation) is the one below. It has the orientation of the figure reversed (side lengths shortest-to-longest are CCW instead of CW).
The reflection over y=x reverses the coordinates: (x, y) ⇒ (y, x), so the vertices become ...
(1, -3) ⇒ (-3, 1)(3, -2) ⇒ (-2, 3)(4, -5) ⇒ (-5, 4)3(4x+2)-6x=5x-5(2+x) please solve show your work do not solve for x
Answer:
simplifies to 6x+6=-10x = -8/3 = -2 2/3Step-by-step explanation:
3(4x+2)-6x=5x-5(2+x)
12x +6 -6x = 5x -10 -5x . . . . . eliminate parentheses using the distributive property
6x +6 = -10 . . . . . . . . . . . . . . . collect terms
x +1 = -10/6 . . . . . . . . . . . . . . . divide by 6
x = -1 - 5/3 . . . . . . . . . . . . . . . add -1
x = -8/3 . . . . . . . . . . . . . . . . . simplify
A bag contains 9 green marbles and 11 white marbles. You select a marble at random. What are the odds in favor of picking a green marble?
Help pls
Answer: 9\20 or 45% hope this helps
The "odds" of picking a green are 9 to 11 .
The "probability" of picking a green is 9/20 or 45% .
PLEASE HELP WILL GIVE BRAINLIEST
Life expectancy in the U.S. is steadily increasing due to medical advancements and the increased awareness of maintaining a healthy lifestyle. The life expectancies for men and women in the U.S. can be modeled by the following functions:
W(x)=0.126x+76.74
M(x)=0.169x+69.11
where W(x) represents the life expectancy for women and M(x) represents the life expectancy for men, and x represents the number of years since 1975. (x = 0 corresponds to the year 1975, x = 5 corresponds to the year 1980 and so on.)
Write an inequality that represents in what years the life expectancy of men is greater than that of women.
a.0.169x+69.11 > 0.126x+76.74
b.0.169+69.11 < 0.126x+76.74
c.0.169x+69.11<0.126x+76.74
d.0.169x+69.11 = 0.126x+76.74
Answer:
a. 0.169x+69.11 > 0.126x+76.74
Step-by-step explanation:
So, there's a lot of talk in the question statement. Of course, it presents some important data... but it's also meant to confuse you.
We can boil it down to the following life expectancies :
Men = 0.169x+69.11
Women = 0.126x+76.74
Then they ask you to write with that men have a greater life expectancy than woman using the models above.
Start by writing the goal:
men > women
Then replace "men" by the model and "women" by the model:
0.169x+69.11 > 0.126x+76.74
And you have your answer.
Answer:
A
Step-by-step explanation:
maybe, maybe not
The owner of a catering company wants to select a random sample of clients to find out about their food preferences. Select Yes or No to tell whether each method results in a random sample of the population.
Yes or No, The owner uses a database to print the names of all clients on slips of paper. The owner chooses 20 of the slips of paper without looking.
Yes or No, The owner sends a survey to every client who spent more than $500 with the catering company in the past year.
Yes or No, The owner sends a survey to all clients whose phone number ends in 5.
Yes or No, The owner sends a survey to the last 20 clients who used the catering company's services.
Answer:
1. Yes
2. No
3. Yes
4. No
Step-by-step explanation:
When you say a random sample, this means that every member of the population will have a chance to be part of the sample. If you consider the scenarios, only the 1st and 3rd option will come up with a random sample because the respondents of the sample is not predetermined. If you take the other options into consideration, you can see that not everyone would have had a chance to be part of the sample.
50 POINTS ANSWER ASAP
What is an equation of the line that passes through the point (−1,8) and is parallel to the line x+y=4?
Answer:
y = -x+7
Step-by-step explanation:
We need to get x+y=4 in slope intercept from to determine the slope
x+t=4
Subtract x from each side
x-xy = -x+4
y= -x+4
The slope is -1
Parallel lines have the same slope
We have the slope and a point of the new line.
We can use the point slope form
y-y1 = m(x-x1)
y-8 = -1(x--1)
y-8 = -1(x+1)
Distribute the negative sign
y-8 = -x-1
Add 8 to each side
y-8+8 = -x-1+8
y = -x+7
If the fourth term of a gwometric progression is -27/4 and the fifth term is 81/4 find a1 and r
Answer:
a1 = 1/4r = -3Step-by-step explanation:
r = a5/a4 = (81/4)/(-27/4) = -3
an = a1·r^(n-1)
-27/4 = a1·(-3)^3 = -27·a1 . . . . fill in the known numbers for n=4
(-27/4)/(-27) = a1 = 1/4
Any assistance would be great!
The domain is the input values, which would also be X values.
{ x |x= -5, -3, 1, 2,6}
For this case we have by definition that the domain of a function y = f (x) is the set of all the values that the variable x takes, for which the function is defined. They are also represented by the starting set.
It is observed in the figure, that the domain is:
[tex]{x | x = -3,2, -5,1,6}\\{x | x = -5, -3,1,2,6}[/tex]
Answer:
Option A
A gardener determines the cost of planting daffodil bulbs to be $2.40 per square foot. How much will it cost to plant daffodil bulbs in a rectangular garden that is 12 feet long and 5 feet wide? (show your work)
a) $40.80
b) $60
c) $81.60
d) $144
Answer: 144$
Step-by-step explanation: multiply 5 by 12 and then multiply that answer by 2.40
Drag and drop a statement or reason to each box to complete the proof.
Given: parallelogram EFGH
Prove: EG¯¯¯¯¯ bisects HF¯¯¯¯¯¯ and HF¯¯¯¯¯¯ bisects EG¯¯¯¯¯ .
Answer:
1. EF≅HG
2. EF║HG
3. Definition of parallelogram
4. when two parallel lines are cut by a transversal, alternate interior angles are congruent
5. EK≅GK
FK≅HK
Step-by-step explanation:
1. As per the properties of a parallelogram, the opposite sides are congruent.
hence in given parallelogram EFGH the two sides EF≅HG
2. As per the properties of a parallelogram, the opposite sides are parallel.
hence in given parallelogram EFGH the two sides EF║HG
3. Definition of parallelogram: A quadrilateral is called a parallelogram if two of its opposite sides are parallel.
4. As per the properties of transversal lines, when two parallel lines are cut by a transversal, alternate interior angles are congruent.
5. As proven in given question ΔEKF≅ΔGKH, so as per the CPCTC
EK≅GK and FK≅HK
!
There are different properties that are ascribed to a shape. The statement or reason to fill each box are;
EF≅HG given that the Property of a Parallelogram ( that is If a quadrilateral is a parallelogram, then all the opposite sides are known to be congruent)EF║HG given that the description or the definition of a Parallelogram, which is a type of quadrilateral is known to have opposite sides been parallel.∠FEG ≅∠ HGE , ∠EFH ≅FHG are known to be Alternate Interior Angles Theorem.ΔEKF ≅ Δ GKH are ascribed to ASA Congruence Postulate.⁻E K ≅ ⁻K G, and ⁻F K ≅ ⁻K H given that they are CPCTC.What is a parallelogram?A parallelogram is known to be a shape that is said to be composed of four sides. Where the sides opposite each other are regarded as parallel. The Examples of parallelograms are; squares, rhombuses, etc.
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The square of a number decreased by 4 times the number equals 21. Find the number.
Answer: 7
Explanation:
x^2-4x=21
x^2-4x-21=0
(x+3)(x-7)=0
x=-3
x=7
*** if you need to find the positive # only, the ANSWER is 7****
The correct equation for the problem is x² - 4x = 21. By using the quadratic formula, we find that the number can be either 7 or -3.
The student provided a mistaken equation for the problem which is x² + 4x = 21, not x² + 4x 21 = 0. The correct equation that represents the problem 'The square of a number decreased by 4 times the number equals 21' is x² - 4x = 21. To solve this equation, we first bring the constants to one side to set the equation equal to zero:
x² - 4x - 21 = 0
Now we have a quadratic equation of the form ax² + bx + c = 0, where a = 1, b = -4, and c = -21. We will use the quadratic formula, which is:
x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values of a, b, and c into the formula gives us:
x = (4 ± √((-4)² - 4(1)(-21))) / (2*1)
x = (4 ± √(16 + 84)) / 2
x = (4 ± √100) / 2
x = (4 ± 10) / 2
Thus, the solutions are x = (4 + 10) / 2 = 7 and x = (4 - 10) / 2 = -3.
Therefore, the numbers that satisfy the equation are 7 and -3.
What is the volume of the square pyramid with base edges 4 m and height 3 m?
Answer:
Volume of the pyramid = 16m³ or 16 cubic meters.
Step-by-step explanation:
The equation for the volume of a pyramid is:
[tex]V=\frac{b*h}{3}[/tex]
where b = area of base and h = height.
In this case, the base is a square with a side length of 4m.
Area of the square base = (4m)² = b = 16m²
h = 3m
Insert b and a into the volume of a pyramid equation.
[tex]V=\frac{3m*16m}{3}[/tex]
= 16m³
Volume of the pyramid = 16m³ or 16 cubic meters.
Jackson and Olivia deposited $9,047.00 into a savings account which earns interest compounded monthly. After 8 months, they had $9,779.00 in the account which they used to go on a trip. What was the interest rate on the account?
Round your answer to the nearest tenth of a percent.
Answer:
11.7%
Step-by-step explanation:
The account balance (A) for a principal amount P and monthly interest rate r will be ...
A = P(1 +r)^8
Then we can divide by P and take the 8th root to find r:
A/P = (1+r)^8
(A/P)^(1/8) = 1 +r
(A/P)^(1/8) - 1 = r
Since this is the monthly rate, we need to multiply this value by 12 to find the annual interest rate on the account:
annual rate = 12((A/P)^(1/8) -1) = 12((9779/9047)^(1/8) -1) ≈ 0.11728 ≈ 11.7%
write an equivalent fraction with the given denominator 3/7 - /35
Answer: [tex]\frac{15}{35}[/tex]
Step-by-step explanation:
Equivalent fractions are defined as those fractions that represent the same value but their numerators and denominators are different.
For a fraction in the form [tex]\frac{a}{b}[/tex] you can find an equivalent fraction by multiplying the numerator and the denominator by the same number "c":
[tex]\frac{a}{b}=\frac{a*c}{b*c}[/tex]
Then, for the fraction [tex]\frac{3}{7}[/tex] you have an equivalent fraction with denominator 35. This is obtained by multiplying the denominato 7 by 5.
Then, the numerator will be:
[tex]3*5=15[/tex]
So:
[tex]\frac{3*5}{7*5}=\frac{15}{35}[/tex]
Answer:
The equivalent fraction of 3/7 is 15/35
Step-by-step explanation:
It is given that, a fraction 3/7
To find the equivalent fraction
We have 3/7
some of equivalent fraction of 3/7 are
3/7 * 2/2 = 6/14
3/7 * 3/3 = 9/21
3/7 * 4/4 = 12/28
3/7 * 5/5 =15/35
3/7 * 6/6 = 18/42 ....
We need denominator 35
Therefore the correct answer is 15/35
....Help Please.......
Answer:
The first two tables show y as a function of x.
Step-by-step explanation:
A relation is not a function if the same x-value shows up more than once in the table. That will be the case for the last two tables, each of which has x=2 show up twice.
For which distributions is the median the best measure of center?
I think these two are the right answer.
The angle bisector of ∠ACD in rhombus ABCD makes a 64° angle with the diagonal
BD
. Find the measure of ∠BAD.
PLZZZZZZZZZ help ASAP I'm so confused WILL MARK BRAINLIEST
Answer:
104°
Step-by-step explanation:
Even a crude diagram can be helpful. Half of angle ACD is the complement of the 64° angle made with diagonal BD. Since that complement, 26°, is half the bisected angle, which is half the measure of ∠BAD, the measure of ∠BAD must be 4×26° = 104°.
___
Opposite angles of a rhombus are congruent, and each diagonal is a bisector of the angles at its endpoints. The diagonals bisect each other and meet at right angles.
What is the distance between the y-intercepts of the lines? Adding a picture please help
The equation of a line is:
y = mx + c
The m is the gradient of the line, and the c is the y-intercept of the line
That means that the y-intercept of [y = -4x + 3] is 3
and the y-intercept of [y = -4x + 4] is 4
So the distance between the two y-intercepts is:
4 - 3 = 1
Which of the following is the measure of an exterior angle of a 15-sided regular polygon?
A) 24
B) 12
C) 40
D) 36
Answer:
24 ˚
Step-by-step explanation:
Exterior angle of a regular -sided polygon:
360 ˚/ n ⇒ 360 ˚/15 = 24 ˚
Answer:
A) 24
Step-by-step explanation:
Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.
Which equations have the variable term in the equation –6 + 2x = 6x – 9 isolated to one side of the equals sign, and the constant isolated to the other side? Select all that apply.
–6 = 4x – 9
3 – 4x= 0
–4x = –3
3 = 4x
2x= 6x - 3
Answer:
-4x=-3
3= 4x
Step-by-step explanation:
The equation –4x = –3 fulfills the condition of variable isolation. Options C and D are correct
Given that,
To determine the expression consist of the isolation of the variable and constant.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
-6 + 2x = 6x - 9
-4x = -3 or 4x = 3
Thus, the equation –4x = –3 fulfills the condition of variable isolation. Options C and D are correct.
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PLEASE HELP!!!
Multiply the following using the vertical multiplication method 3x^2-5x+1 x^2+2x+4
Answer:
3x⁴ + x³ + 3 x² - 18 x + 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x^4+x^3+3x^2-18+4
A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of –16. How many real number solutions does the equation have?
[tex]\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{a}x^2\stackrel{\stackrel{b}{\downarrow }}{+b}x\stackrel{\stackrel{c}{\downarrow }}{+c} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ \stackrel{-16}{negative}&\textit{no solution}~~\checkmark \end{cases}[/tex]
Answer:
A quadratic equation of the form 0 = ax² + bx + c with a discriminant value of –16 has no real solution
Step-by-step explanation:
A quadratic equation ax²+bx+c=0 with discriminant D=b²-4ac has
2 unequal real solutions if D is positive i.e. D>0
2 equal real roots if D=0
no real root if D is negative i.e. D<0
Here, we are given value of D= -16 which is less than zero
Hence, a quadratic equation of the form 0 = ax² + bx + c with a discriminant value of –16 has no real solution
I need help ASAP.
Laura flicks the spinner below one time. What is the probability that the flicker will land on BLUE?
Question 3 options:
1/6
1/8
1/2
1/4
Answer:
1/4
Step-by-step explanation:
The are 8 different sections that the spinner can land on
2 of them are labeled blue
P(blue) = spots labeled blue/ total spots
= 2/8
= 1/4
[Lots of Points] What are all of the real roots of the following polynomial?
Notice you can factorize
[tex]x^5+5x^4-5x^3-25x^2+4x+20[/tex]
by grouping the terms as
[tex](x^5-5x^3+4x)+(5x^4-25x^2+20)=x(x^4-5x^2+4)+5(x^4-5x^2+4)[/tex]
[tex]\implies f(x)=(x+5)(x^4-5x^2+4)[/tex]
Then you know right away that [tex]x=-5[/tex] is a (real) root, so we eliminate C and D.
The remaining quartic can be factored easily:
[tex]x^4-5x^2+4=(x^2)^2-5x^2+4=(x^2-4)(x^2-1)=(x-2)(x+2)(x-1)(x+1)[/tex]
which admits four more (also real) roots, [tex]x=\pm2[/tex] and [tex]x=\pm1[/tex], so the answer is B.
use the quadratic formula to solve the equation 9x^2 - 2=0
Answer:
x = ±(√2)/3
Step-by-step explanation:
For the quadratic ...
ax^2 +bx +c = 0
the quadratic formula gives solutions as ...
x = (-b ±√(b^2-4ac))/(2a)
Comparing your quadratic to the general form above, we find ...
a = 9; b = 0, c = -2
Filling these values into the formula gives ...
x = (-0 ±√(0^2 -4(9)(-2)))/(2·9)
x = ±(√72)/18 = ±(6√2)/18
x = ±(√2)/3
i need some help on this question please
Answer:
36, 32, 28, 24
Step-by-step explanation:
Fill in the values of n and do the arithmetic.
a1 = 36 -4(1 -1) = 36
a2 = 36 -4(2 -1) = 32
a3 = 36 -4(3 -1) = 28
a4 = 36 -4(4 -1) = 24
_____
You could recognize the formula as the specific case of the explicit formula for an arithmetic sequence with first term 36 and common difference -4. That tells you the second term is 36 -4 = 32, and each successive term is 4 less than the one before.
The area of a circle is 78.5 square centimeters, and a subtending arc on the circle has an arc length of 6. The estimated value of is 3.14. The measure of the angle subtended by the arc is ?
Answer:
The measure of the angle is [tex]68.79\°[/tex]
Step-by-step explanation:
step 1
Find the radius of the circle
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]A=78.5\ cm^{2}[/tex]
[tex]\pi =3.14[/tex]
substitute and solve for r
[tex]78.5=(3.14)r^{2}[/tex]
[tex]r^{2}=78.5/(3.14)[/tex]
[tex]r=5\ cm[/tex]
step 2
Find the circumference of the circle
The circumference of the circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=5\ cm[/tex]
[tex]\pi =3.14[/tex]
Substitute
[tex]C=2(3.14)(5)[/tex]
[tex]C=31.4\ cm[/tex]
step 3
Find the measure of the angle by an arc length of 6 cm
we know that
The circumference of a circle subtends a central angle of 360 degrees
So
by proportion
[tex]\frac{31.4}{360}=\frac{6}{x}\\ \\x=360*6/31.4\\ \\x=68.79\°[/tex]
Answer:
The measure of the angle subtended by the arc is 68.8°
Step-by-step explanation:
Formula for calculating length of an arc is expressed as:
Length of an arc = theta/360×2πr
Where theta is the angle subtended by the arc
r is the radius of the circle
To get the radius r;
Given Area of the circle to be 78.5cm²
Since area = πr²
78.5 = πr²
78.5 = 3.14r²
r² = 78.5/3.14
r² = 25
r =√25
r = 5cm
This radius of the circle is 5cm
Remember that
Length of an arc = theta/360° × 2πr
6 = theta/360 × 2(3.14)(5)
6 = 31.4theta/360
2160 = 31.4theta
theta = 2160/31.4
theta = 68.8°
the service tip for the waiter is 20%. The total cost of a meal is calculated as c + 0.20c. How much would you have to pay if you have a meal that costs $21.00?
Answer:
$25.20
Step-by-step explanation:
Cost of the meal = $21
Total cost
= c + 0.20c
= 21 + 0.20(21)
= $25.20
For this case we have the following function, to calculate the total cost of the meal, including 20% of the tip:
[tex]f (c) = c + 0.20c[/tex]
They tell us that a meal costs $ 21.00. That is,[tex]c = 21[/tex]
[tex]f (21) = 21 + 0.20 (21)\\f (21) = 21 + 4.2\\f (21) = 25.2[/tex]
Thus, the total cost of the meal is 25.2
Answer:
$ 25.2
Drag and drop an answer to each box to correctly complete the proof.
Given: Parallelogram JKLM is a rectangle.
Prove: JL¯¯¯¯¯≅MK¯¯¯¯¯¯¯
Answer:
1. all the right angles are congruent
2. opposite sides of a parallelogram are congruent
3. SAS congruent postulate
4. corresponding parts of a congruent triangle are congruent
Step-by-step explanation:
1. As all the right angles are congruent
∠JML≅∠KLM≅ ∠90°
2. As per the properties of a parallelogram, the opposite sides are congruent.
Hence the sides JM≅KL
3. SAS postulate is defined as Side-Angle-Side postulate. When the side, adjacent angle and the other other adjacent side of two triangle are congruent then the two triangles are said to be congruent. In the given case both the sides JM and ML of ΔJML are congruent to both the sides KL and ML of ΔKLM.
Hence ΔJML≅ΔKLM
4. As proven in part 3, ΔJML≅ΔKLM so the congruent parts of two congruent triangle are congruent.
In given case the side JL(of ΔJML)≅MK(ΔKLM)
!
The completed proof is presented as follows;
Parallelogram JKLM is a rectangle and by definition of a rectangle, ∠JML
and ∠KLM are right angles, ∠JML ≅ ∠KLM because, all right angles are
congruent, [tex]\overline{JM}[/tex] ≅ [tex]\overline{KL}[/tex] because opposite sides of a parallelogram are
congruent, and [tex]\overline{ML}[/tex] ≅ [tex]\overline{ML}[/tex] by reflective property of congruence. By the SAS
congruence postulate, ΔJML ≅ ΔKLM. Because, congruent parts of
congruent triangles are congruent, [tex]\overline{JL}[/tex] ≅ [tex]\overline{MK}[/tex]
Reasons:
The given quadrilateral is a parallelogram, that have interior angles that are right angles, therefore, the figure has the properties of a rectangle, and
parallelogram including;
The length of opposite sides are equalAll right angles are congruent and equal to 90°
The length of a side is equal to itself by reflexive property, therefore, [tex]\overline{ML}[/tex]
≅ [tex]\overline{ML}[/tex]
The Side-Angle-Side SAS postulate states that if two sides and an included
angle of one triangle are congruent to the corresponding two of sides and
included angle of another triangle, the two triangles are congruent.
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